id	sid	tid	token	lemma	pos
esrj-100754	1	1	issn	issn	PROPN
esrj-100754	1	2	1794	1794	NUM
esrj-100754	1	3	-	-	SYM
esrj-100754	1	4	6190	6190	NUM
esrj-100754	1	5	e	e	NOUN
esrj-100754	1	6	-	-	NOUN
esrj-100754	1	7	issn	issn	PROPN
esrj-100754	1	8	2339	2339	NUM
esrj-100754	1	9	-	-	SYM
esrj-100754	1	10	3459	3459	NUM
esrj-100754	1	11	https://doi.org/10.15446/esrj.v26n3.100754	https://doi.org/10.15446/esrj.v26n3.100754	NUM
esrj-100754	1	12	earth	earth	PROPN
esrj-100754	1	13	sciences	sciences	PROPN
esrj-100754	1	14	research	research	PROPN
esrj-100754	1	15	journal	journal	PROPN
esrj-100754	1	16	earth	earth	PROPN
esrj-100754	1	17	sci	sci	PROPN
esrj-100754	1	18	.	.	PUNCT
esrj-100754	2	1	res	res	PROPN
esrj-100754	2	2	.	.	PUNCT
esrj-100754	3	1	j.	j.	PROPN
esrj-100754	3	2	vol	vol	PROPN
esrj-100754	3	3	.	.	PROPN
esrj-100754	4	1	26	26	NUM
esrj-100754	4	2	,	,	PUNCT
esrj-100754	4	3	no	no	INTJ
esrj-100754	4	4	.	.	NOUN
esrj-100754	4	5	2	2	NUM
esrj-100754	4	6	(	(	PUNCT
esrj-100754	4	7	september	september	PROPN
esrj-100754	4	8	,	,	PUNCT
esrj-100754	4	9	2022	2022	NUM
esrj-100754	4	10	):	):	PUNCT
esrj-100754	4	11	205	205	NUM
esrj-100754	4	12	210	210	NUM
esrj-100754	5	1	c	c	NOUN
esrj-100754	5	2	o	o	NOUN
esrj-100754	5	3	m	m	VERB
esrj-100754	5	4	pu	pu	NOUN
esrj-100754	5	5	te	te	PROPN
esrj-100754	5	6	r	r	NOUN
esrj-100754	5	7	s	s	PROPN
esrj-100754	5	8	c	c	NOUN
esrj-100754	5	9	ie	ie	X
esrj-100754	5	10	n	n	PROPN
esrj-100754	5	11	c	c	NOUN
esrj-100754	5	12	e	e	ADP
esrj-100754	5	13	a	a	DET
esrj-100754	5	14	pp	pp	X
esrj-100754	5	15	li	li	PROPN
esrj-100754	5	16	ed	ed	NOUN
esrj-100754	5	17	to	to	ADP
esrj-100754	5	18	g	g	PROPN
esrj-100754	5	19	eo	eo	PROPN
esrj-100754	5	20	ph	ph	PROPN
esrj-100754	5	21	y	y	PROPN
esrj-100754	6	1	si	si	PROPN
esrj-100754	6	2	c	c	NOUN
esrj-100754	6	3	s	s	X
esrj-100754	6	4	rigorous	rigorous	ADJ
esrj-100754	6	5	spherical	spherical	ADJ
esrj-100754	6	6	bearing	bearing	NOUN
esrj-100754	6	7	with	with	ADP
esrj-100754	6	8	soldner	soldner	NOUN
esrj-100754	6	9	coordinates	coordinate	NOUN
esrj-100754	6	10	and	and	CCONJ
esrj-100754	6	11	azimuth	azimuth	NOUN
esrj-100754	6	12	angles	angle	NOUN
esrj-100754	6	13	on	on	ADP
esrj-100754	6	14	sphere	sphere	NOUN
esrj-100754	6	15	sebahattin	sebahattin	NOUN
esrj-100754	6	16	bektaş	bektaş	NOUN
esrj-100754	6	17	ondokuz	ondokuz	PROPN
esrj-100754	6	18	mayis	mayis	PROPN
esrj-100754	6	19	university	university	PROPN
esrj-100754	6	20	,	,	PUNCT
esrj-100754	6	21	turkey	turkey	PROPN
esrj-100754	6	22	sbektas@omu.edu.tr	sbektas@omu.edu.tr	PROPN
esrj-100754	6	23	abstract	abstract	PROPN
esrj-100754	6	24	meridian	meridian	PROPN
esrj-100754	6	25	systems	system	NOUN
esrj-100754	6	26	,	,	PUNCT
esrj-100754	6	27	called	call	VERB
esrj-100754	6	28	soldner	soldner	NOUN
esrj-100754	6	29	coordinates	coordinate	NOUN
esrj-100754	6	30	(	(	PUNCT
esrj-100754	6	31	parallel	parallel	ADJ
esrj-100754	6	32	coordinate	coordinate	NOUN
esrj-100754	6	33	)	)	PUNCT
esrj-100754	6	34	systems	system	NOUN
esrj-100754	6	35	,	,	PUNCT
esrj-100754	6	36	have	have	AUX
esrj-100754	6	37	found	find	VERB
esrj-100754	6	38	wide	wide	ADJ
esrj-100754	6	39	application	application	NOUN
esrj-100754	6	40	in	in	ADP
esrj-100754	6	41	geodesy	geodesy	PROPN
esrj-100754	6	42	.	.	PUNCT
esrj-100754	7	1	in	in	ADP
esrj-100754	7	2	particular	particular	ADJ
esrj-100754	7	3	,	,	PUNCT
esrj-100754	7	4	the	the	DET
esrj-100754	7	5	meridian	meridian	PROPN
esrj-100754	7	6	system	system	NOUN
esrj-100754	7	7	constitutes	constitute	VERB
esrj-100754	7	8	a	a	DET
esrj-100754	7	9	suitable	suitable	ADJ
esrj-100754	7	10	base	base	NOUN
esrj-100754	7	11	for	for	ADP
esrj-100754	7	12	the	the	DET
esrj-100754	7	13	gauss	gauss	PROPN
esrj-100754	7	14	-	-	PUNCT
esrj-100754	7	15	kruger	kruger	PROPN
esrj-100754	7	16	projection	projection	NOUN
esrj-100754	7	17	of	of	ADP
esrj-100754	7	18	the	the	DET
esrj-100754	7	19	ellipsoid	ellipsoid	NOUN
esrj-100754	7	20	and	and	CCONJ
esrj-100754	7	21	the	the	DET
esrj-100754	7	22	sphere	sphere	NOUN
esrj-100754	7	23	.	.	PUNCT
esrj-100754	8	1	soldner	soldner	PROPN
esrj-100754	8	2	coordinates	coordinate	NOUN
esrj-100754	8	3	can	can	AUX
esrj-100754	8	4	be	be	AUX
esrj-100754	8	5	used	use	VERB
esrj-100754	8	6	in	in	ADP
esrj-100754	8	7	cassini	cassini	ADJ
esrj-100754	8	8	-	-	PUNCT
esrj-100754	8	9	soldner	soldner	NOUN
esrj-100754	8	10	projection	projection	NOUN
esrj-100754	8	11	without	without	ADP
esrj-100754	8	12	any	any	DET
esrj-100754	8	13	processing	processing	NOUN
esrj-100754	8	14	.	.	PUNCT
esrj-100754	9	1	as	as	SCONJ
esrj-100754	9	2	it	it	PRON
esrj-100754	9	3	is	be	AUX
esrj-100754	9	4	known	know	VERB
esrj-100754	9	5	,	,	PUNCT
esrj-100754	9	6	the	the	DET
esrj-100754	9	7	directions	direction	NOUN
esrj-100754	9	8	of	of	ADP
esrj-100754	9	9	the	the	DET
esrj-100754	9	10	edges	edge	NOUN
esrj-100754	9	11	are	be	AUX
esrj-100754	9	12	shown	show	VERB
esrj-100754	9	13	with	with	ADP
esrj-100754	9	14	azimuth	azimuth	NOUN
esrj-100754	9	15	angles	angle	NOUN
esrj-100754	9	16	in	in	ADP
esrj-100754	9	17	the	the	DET
esrj-100754	9	18	geographic	geographic	ADJ
esrj-100754	9	19	coordinate	coordinate	NOUN
esrj-100754	9	20	system	system	NOUN
esrj-100754	9	21	and	and	CCONJ
esrj-100754	9	22	the	the	DET
esrj-100754	9	23	bearing	bearing	NOUN
esrj-100754	9	24	angles	angle	NOUN
esrj-100754	9	25	in	in	ADP
esrj-100754	9	26	the	the	DET
esrj-100754	9	27	soldner	soldner	NOUN
esrj-100754	9	28	coordinate	coordinate	NOUN
esrj-100754	9	29	system	system	NOUN
esrj-100754	9	30	.	.	PUNCT
esrj-100754	10	1	bearing	bearing	NOUN
esrj-100754	10	2	or	or	CCONJ
esrj-100754	10	3	azimuth	azimuth	NOUN
esrj-100754	10	4	angles	angle	NOUN
esrj-100754	10	5	are	be	AUX
esrj-100754	10	6	frequently	frequently	ADV
esrj-100754	10	7	used	use	VERB
esrj-100754	10	8	in	in	ADP
esrj-100754	10	9	geodetic	geodetic	ADJ
esrj-100754	10	10	calculations	calculation	NOUN
esrj-100754	10	11	.	.	PUNCT
esrj-100754	11	1	these	these	DET
esrj-100754	11	2	angles	angle	NOUN
esrj-100754	11	3	give	give	VERB
esrj-100754	11	4	the	the	DET
esrj-100754	11	5	direction	direction	NOUN
esrj-100754	11	6	of	of	ADP
esrj-100754	11	7	sides	side	NOUN
esrj-100754	11	8	in	in	ADP
esrj-100754	11	9	the	the	DET
esrj-100754	11	10	clockwise	clockwise	NOUN
esrj-100754	11	11	direction	direction	NOUN
esrj-100754	11	12	from	from	ADP
esrj-100754	11	13	a	a	DET
esrj-100754	11	14	certain	certain	ADJ
esrj-100754	11	15	initial	initial	ADJ
esrj-100754	11	16	direction	direction	NOUN
esrj-100754	11	17	.	.	PUNCT
esrj-100754	12	1	both	both	DET
esrj-100754	12	2	angle	angle	NOUN
esrj-100754	12	3	values	value	NOUN
esrj-100754	12	4	range	range	VERB
esrj-100754	12	5	from	from	ADP
esrj-100754	12	6	0	0	NUM
esrj-100754	12	7	to	to	ADP
esrj-100754	12	8	360	360	NUM
esrj-100754	12	9	degrees	degree	NOUN
esrj-100754	12	10	and	and	CCONJ
esrj-100754	12	11	are	be	AUX
esrj-100754	12	12	usually	usually	ADV
esrj-100754	12	13	calculated	calculate	VERB
esrj-100754	12	14	from	from	ADP
esrj-100754	12	15	the	the	DET
esrj-100754	12	16	arctan	arctan	PROPN
esrj-100754	12	17	function	function	NOUN
esrj-100754	12	18	.	.	PUNCT
esrj-100754	13	1	but	but	CCONJ
esrj-100754	13	2	the	the	DET
esrj-100754	13	3	arctan	arctan	PROPN
esrj-100754	13	4	function	function	NOUN
esrj-100754	13	5	returns	return	VERB
esrj-100754	13	6	an	an	DET
esrj-100754	13	7	angle	angle	NOUN
esrj-100754	13	8	value	value	NOUN
esrj-100754	13	9	between	between	ADP
esrj-100754	13	10	-90	-90	PUNCT
esrj-100754	13	11	and	and	CCONJ
esrj-100754	13	12	+90	+90	ADJ
esrj-100754	13	13	degrees	degree	NOUN
esrj-100754	13	14	.	.	PUNCT
esrj-100754	14	1	therefore	therefore	ADV
esrj-100754	14	2	,	,	PUNCT
esrj-100754	14	3	it	it	PRON
esrj-100754	14	4	is	be	AUX
esrj-100754	14	5	necessary	necessary	ADJ
esrj-100754	14	6	to	to	PART
esrj-100754	14	7	analyze	analyze	VERB
esrj-100754	14	8	the	the	DET
esrj-100754	14	9	quarter	quarter	NOUN
esrj-100754	14	10	for	for	SCONJ
esrj-100754	14	11	the	the	DET
esrj-100754	14	12	angle	angle	NOUN
esrj-100754	14	13	found	find	VERB
esrj-100754	14	14	.	.	PUNCT
esrj-100754	15	1	for	for	ADP
esrj-100754	15	2	practical	practical	ADJ
esrj-100754	15	3	computations	computation	NOUN
esrj-100754	15	4	,	,	PUNCT
esrj-100754	15	5	the	the	DET
esrj-100754	15	6	quadrants	quadrant	NOUN
esrj-100754	15	7	of	of	ADP
esrj-100754	15	8	the	the	DET
esrj-100754	15	9	arctangents	arctangent	NOUN
esrj-100754	15	10	are	be	AUX
esrj-100754	15	11	determined	determine	VERB
esrj-100754	15	12	by	by	ADP
esrj-100754	15	13	the	the	DET
esrj-100754	15	14	signs	sign	NOUN
esrj-100754	15	15	of	of	ADP
esrj-100754	15	16	the	the	DET
esrj-100754	15	17	numerator	numerator	NOUN
esrj-100754	15	18	and	and	CCONJ
esrj-100754	15	19	denominator	denominator	NOUN
esrj-100754	15	20	in	in	ADP
esrj-100754	15	21	the	the	DET
esrj-100754	15	22	tangent	tangent	NOUN
esrj-100754	15	23	formulas	formula	NOUN
esrj-100754	15	24	.	.	PUNCT
esrj-100754	16	1	determining	determine	VERB
esrj-100754	16	2	the	the	DET
esrj-100754	16	3	quarter	quarter	NOUN
esrj-100754	16	4	of	of	ADP
esrj-100754	16	5	the	the	DET
esrj-100754	16	6	angles	angle	NOUN
esrj-100754	16	7	is	be	AUX
esrj-100754	16	8	done	do	VERB
esrj-100754	16	9	with	with	ADP
esrj-100754	16	10	if	if	SCONJ
esrj-100754	16	11	…	…	PUNCT
esrj-100754	16	12	,	,	PUNCT
esrj-100754	16	13	then	then	ADV
esrj-100754	16	14	…	…	PUNCT
esrj-100754	16	15	,	,	PUNCT
esrj-100754	16	16	end	end	NOUN
esrj-100754	16	17	...	...	PUNCT
esrj-100754	16	18	,	,	PUNCT
esrj-100754	16	19	blocks	block	NOUN
esrj-100754	16	20	on	on	ADP
esrj-100754	16	21	the	the	DET
esrj-100754	16	22	computer	computer	NOUN
esrj-100754	16	23	.	.	PUNCT
esrj-100754	17	1	it	it	PRON
esrj-100754	17	2	should	should	AUX
esrj-100754	17	3	be	be	AUX
esrj-100754	17	4	noted	note	VERB
esrj-100754	17	5	that	that	SCONJ
esrj-100754	17	6	each	each	DET
esrj-100754	17	7	comparison	comparison	NOUN
esrj-100754	17	8	requires	require	VERB
esrj-100754	17	9	a	a	DET
esrj-100754	17	10	separate	separate	ADJ
esrj-100754	17	11	processing	processing	NOUN
esrj-100754	17	12	time	time	NOUN
esrj-100754	17	13	.	.	PUNCT
esrj-100754	18	1	this	this	DET
esrj-100754	18	2	study	study	NOUN
esrj-100754	18	3	will	will	AUX
esrj-100754	18	4	be	be	AUX
esrj-100754	18	5	given	give	VERB
esrj-100754	18	6	how	how	SCONJ
esrj-100754	18	7	to	to	PART
esrj-100754	18	8	calculate	calculate	VERB
esrj-100754	18	9	both	both	PRON
esrj-100754	18	10	bearing	bearing	NOUN
esrj-100754	18	11	and	and	CCONJ
esrj-100754	18	12	azimuth	azimuth	NOUN
esrj-100754	18	13	angles	angle	NOUN
esrj-100754	18	14	with	with	ADP
esrj-100754	18	15	direct	direct	ADJ
esrj-100754	18	16	formulas	formula	NOUN
esrj-100754	18	17	without	without	ADP
esrj-100754	18	18	any	any	DET
esrj-100754	18	19	need	need	NOUN
esrj-100754	18	20	to	to	PART
esrj-100754	18	21	examine	examine	VERB
esrj-100754	18	22	them	they	PRON
esrj-100754	18	23	.	.	PUNCT
esrj-100754	19	1	in	in	ADP
esrj-100754	19	2	addition	addition	NOUN
esrj-100754	19	3	,	,	PUNCT
esrj-100754	19	4	a	a	DET
esrj-100754	19	5	solution	solution	NOUN
esrj-100754	19	6	proposal	proposal	NOUN
esrj-100754	19	7	will	will	AUX
esrj-100754	19	8	be	be	AUX
esrj-100754	19	9	given	give	VERB
esrj-100754	19	10	against	against	ADP
esrj-100754	19	11	the	the	DET
esrj-100754	19	12	division	division	NOUN
esrj-100754	19	13	by	by	ADP
esrj-100754	19	14	zero	zero	NUM
esrj-100754	19	15	errors	error	NOUN
esrj-100754	19	16	in	in	ADP
esrj-100754	19	17	the	the	DET
esrj-100754	19	18	bearing	bearing	NOUN
esrj-100754	19	19	and	and	CCONJ
esrj-100754	19	20	azimuth	azimuth	NOUN
esrj-100754	19	21	angles	angle	NOUN
esrj-100754	19	22	calculations	calculation	NOUN
esrj-100754	19	23	.	.	PUNCT
esrj-100754	20	1	keywords	keyword	NOUN
esrj-100754	20	2	:	:	PUNCT
esrj-100754	20	3	bearing	bear	VERB
esrj-100754	20	4	angles	angle	NOUN
esrj-100754	20	5	;	;	PUNCT
esrj-100754	20	6	azimuth	azimuth	NOUN
esrj-100754	20	7	angles	angle	NOUN
esrj-100754	20	8	;	;	PUNCT
esrj-100754	20	9	geographical	geographical	ADJ
esrj-100754	20	10	coordinates	coordinate	NOUN
esrj-100754	20	11	;	;	PUNCT
esrj-100754	20	12	soldner	soldner	NOUN
esrj-100754	20	13	coordinates	coordinate	NOUN
esrj-100754	20	14	;	;	PUNCT
esrj-100754	20	15	meridian	meridian	ADJ
esrj-100754	20	16	convergence	convergence	NOUN
esrj-100754	20	17	;	;	PUNCT
esrj-100754	20	18	zero	zero	NUM
esrj-100754	20	19	division	division	NOUN
esrj-100754	20	20	error	error	NOUN
esrj-100754	20	21	;	;	PUNCT
esrj-100754	20	22	rodamiento	rodamiento	X
esrj-100754	20	23	esférico	esférico	NOUN
esrj-100754	20	24	riguroso	riguroso	PROPN
esrj-100754	20	25	con	con	PROPN
esrj-100754	20	26	coordenadas	coordenadas	PROPN
esrj-100754	20	27	soldner	soldner	PROPN
esrj-100754	20	28	y	y	PROPN
esrj-100754	20	29	ángulos	ángulos	PROPN
esrj-100754	20	30	azimut	azimut	VERB
esrj-100754	20	31	en	en	PROPN
esrj-100754	20	32	la	la	PROPN
esrj-100754	20	33	esfera	esfera	PROPN
esrj-100754	20	34	resumen	resuman	NOUN
esrj-100754	20	35	los	los	PROPN
esrj-100754	20	36	sistemas	sistemas	PROPN
esrj-100754	20	37	meridianos	meridianos	PROPN
esrj-100754	20	38	,	,	PUNCT
esrj-100754	20	39	llamados	llamado	VERB
esrj-100754	20	40	coordenadas	coordenadas	PROPN
esrj-100754	20	41	de	de	PROPN
esrj-100754	20	42	soldner	soldner	PROPN
esrj-100754	20	43	(	(	PUNCT
esrj-100754	20	44	coordenadas	coordenadas	PROPN
esrj-100754	20	45	paralelas	paralelas	PROPN
esrj-100754	20	46	)	)	PUNCT
esrj-100754	20	47	,	,	PUNCT
esrj-100754	20	48	han	han	PROPN
esrj-100754	20	49	gozado	gozado	PROPN
esrj-100754	20	50	de	de	PROPN
esrj-100754	20	51	una	una	PROPN
esrj-100754	20	52	amplia	amplia	PROPN
esrj-100754	20	53	aplicación	aplicación	PROPN
esrj-100754	20	54	en	en	PROPN
esrj-100754	20	55	geodesia	geodesia	PROPN
esrj-100754	20	56	.	.	PUNCT
esrj-100754	21	1	en	en	PROPN
esrj-100754	21	2	particular	particular	ADJ
esrj-100754	21	3	,	,	PUNCT
esrj-100754	21	4	el	el	PROPN
esrj-100754	21	5	sistema	sistema	PROPN
esrj-100754	21	6	meridiano	meridiano	PROPN
esrj-100754	21	7	constituye	constituye	PROPN
esrj-100754	21	8	una	una	PROPN
esrj-100754	21	9	base	base	PROPN
esrj-100754	21	10	adecuada	adecuada	PROPN
esrj-100754	21	11	para	para	PROPN
esrj-100754	21	12	la	la	PROPN
esrj-100754	21	13	proyección	proyección	PROPN
esrj-100754	21	14	de	de	PROPN
esrj-100754	21	15	gauss	gauss	PROPN
esrj-100754	21	16	-	-	PUNCT
esrj-100754	21	17	kruger	kruger	PROPN
esrj-100754	21	18	del	del	PROPN
esrj-100754	21	19	elipsoide	elipsoide	PROPN
esrj-100754	21	20	y	y	PROPN
esrj-100754	21	21	la	la	PROPN
esrj-100754	21	22	esfera	esfera	PROPN
esrj-100754	21	23	.	.	PUNCT
esrj-100754	22	1	las	las	PROPN
esrj-100754	22	2	coordenadas	coordenadas	PROPN
esrj-100754	22	3	de	de	PROPN
esrj-100754	22	4	soldner	soldner	PROPN
esrj-100754	22	5	se	se	PROPN
esrj-100754	22	6	pueden	pueden	PROPN
esrj-100754	22	7	usar	usar	PROPN
esrj-100754	22	8	en	en	X
esrj-100754	22	9	la	la	PROPN
esrj-100754	22	10	proyección	proyección	PROPN
esrj-100754	22	11	cassini	cassini	ADJ
esrj-100754	22	12	-	-	PUNCT
esrj-100754	22	13	soldner	soldner	NOUN
esrj-100754	22	14	sin	sin	PROPN
esrj-100754	22	15	ningún	ningún	PROPN
esrj-100754	22	16	procesamiento	procesamiento	PROPN
esrj-100754	22	17	.	.	PUNCT
esrj-100754	23	1	como	como	PROPN
esrj-100754	23	2	es	es	X
esrj-100754	23	3	conocido	conocido	PROPN
esrj-100754	23	4	,	,	PUNCT
esrj-100754	23	5	las	las	PROPN
esrj-100754	23	6	direcciones	direcciones	PROPN
esrj-100754	23	7	de	de	X
esrj-100754	23	8	los	los	PROPN
esrj-100754	23	9	bordes	bordes	PROPN
esrj-100754	23	10	se	se	PROPN
esrj-100754	23	11	muestran	muestran	PROPN
esrj-100754	23	12	como	como	PROPN
esrj-100754	23	13	el	el	PROPN
esrj-100754	23	14	ángulo	ángulo	PROPN
esrj-100754	23	15	acimut	acimut	VERB
esrj-100754	23	16	en	en	PROPN
esrj-100754	23	17	el	el	PROPN
esrj-100754	23	18	sistema	sistema	PROPN
esrj-100754	23	19	geográfico	geográfico	PROPN
esrj-100754	23	20	de	de	PROPN
esrj-100754	23	21	coordenadas	coordenadas	PROPN
esrj-100754	23	22	y	y	PROPN
esrj-100754	23	23	los	los	PROPN
esrj-100754	23	24	ángulos	ángulos	PROPN
esrj-100754	23	25	rumbo	rumbo	VERB
esrj-100754	23	26	en	en	PROPN
esrj-100754	23	27	el	el	PROPN
esrj-100754	23	28	sistema	sistema	PROPN
esrj-100754	23	29	de	de	PROPN
esrj-100754	23	30	coordenadas	coordenadas	PROPN
esrj-100754	23	31	de	de	PROPN
esrj-100754	23	32	soldner	soldner	PROPN
esrj-100754	23	33	.	.	PUNCT
esrj-100754	24	1	los	los	PROPN
esrj-100754	24	2	ángulos	ángulos	PROPN
esrj-100754	24	3	rumbo	rumbo	VERB
esrj-100754	24	4	y	y	PROPN
esrj-100754	24	5	acimut	acimut	PROPN
esrj-100754	24	6	se	se	X
esrj-100754	24	7	usan	usan	PROPN
esrj-100754	24	8	frecuentemente	frecuentemente	PROPN
esrj-100754	24	9	en	en	PROPN
esrj-100754	24	10	los	los	PROPN
esrj-100754	24	11	cálculos	cálculos	PROPN
esrj-100754	24	12	geodéticos	geodéticos	PROPN
esrj-100754	24	13	.	.	PUNCT
esrj-100754	25	1	estos	estos	PROPN
esrj-100754	25	2	ángulos	ángulos	PROPN
esrj-100754	25	3	dan	dan	PROPN
esrj-100754	25	4	la	la	PROPN
esrj-100754	25	5	dirección	dirección	PROPN
esrj-100754	25	6	de	de	X
esrj-100754	25	7	los	los	PROPN
esrj-100754	25	8	lados	lado	VERB
esrj-100754	25	9	en	en	PROPN
esrj-100754	25	10	el	el	PROPN
esrj-100754	25	11	sentido	sentido	PROPN
esrj-100754	25	12	del	del	PROPN
esrj-100754	25	13	reloj	reloj	PROPN
esrj-100754	25	14	desde	desde	PROPN
esrj-100754	25	15	una	una	PROPN
esrj-100754	25	16	dirección	dirección	PROPN
esrj-100754	25	17	inicial	inicial	PROPN
esrj-100754	25	18	específica	específica	PROPN
esrj-100754	25	19	.	.	PUNCT
esrj-100754	26	1	ambos	ambos	PROPN
esrj-100754	26	2	ángulos	ángulos	PROPN
esrj-100754	26	3	van	van	PROPN
esrj-100754	26	4	de	de	PROPN
esrj-100754	26	5	0	0	PROPN
esrj-100754	26	6	a	a	DET
esrj-100754	26	7	360	360	NUM
esrj-100754	26	8	grados	grado	NOUN
esrj-100754	26	9	y	y	PROPN
esrj-100754	26	10	usualmente	usualmente	PROPN
esrj-100754	26	11	se	se	PROPN
esrj-100754	26	12	calculan	calculan	VERB
esrj-100754	26	13	desde	desde	PROPN
esrj-100754	26	14	la	la	PROPN
esrj-100754	26	15	función	función	PROPN
esrj-100754	26	16	arctan	arctan	PROPN
esrj-100754	26	17	.	.	PUNCT
esrj-100754	27	1	el	el	PROPN
esrj-100754	27	2	resultado	resultado	VERB
esrj-100754	27	3	de	de	PROPN
esrj-100754	27	4	la	la	X
esrj-100754	27	5	función	función	PROPN
esrj-100754	27	6	arctan	arctan	PROPN
esrj-100754	27	7	,	,	PUNCT
esrj-100754	27	8	sin	sin	NOUN
esrj-100754	27	9	embargo	embargo	NOUN
esrj-100754	27	10	,	,	PUNCT
esrj-100754	27	11	está	está	PROPN
esrj-100754	27	12	en	en	PROPN
esrj-100754	27	13	el	el	PROPN
esrj-100754	27	14	rango	rango	PROPN
esrj-100754	27	15	de	de	PROPN
esrj-100754	27	16	-90	-90	PUNCT
esrj-100754	27	17	y	y	PROPN
esrj-100754	27	18	+90	+90	PROPN
esrj-100754	27	19	grados	grados	NOUN
esrj-100754	27	20	.	.	PUNCT
esrj-100754	28	1	además	además	PROPN
esrj-100754	28	2	,	,	PUNCT
esrj-100754	28	3	es	es	PROPN
esrj-100754	28	4	necesario	necesario	PROPN
esrj-100754	28	5	analizar	analizar	PROPN
esrj-100754	28	6	el	el	PROPN
esrj-100754	28	7	cuartil	cuartil	PROPN
esrj-100754	28	8	del	del	PROPN
esrj-100754	28	9	ángulo	ángulo	NOUN
esrj-100754	28	10	resultado	resultado	NOUN
esrj-100754	28	11	.	.	PUNCT
esrj-100754	29	1	para	para	PROPN
esrj-100754	29	2	computaciones	computacione	NOUN
esrj-100754	29	3	prácticas	práctica	NOUN
esrj-100754	29	4	,	,	PUNCT
esrj-100754	29	5	los	los	PROPN
esrj-100754	29	6	cuadrantes	cuadrantes	PROPN
esrj-100754	29	7	de	de	X
esrj-100754	29	8	los	los	PROPN
esrj-100754	29	9	arcotangentes	arcotangentes	PROPN
esrj-100754	29	10	se	se	PROPN
esrj-100754	29	11	determinan	determinan	VERB
esrj-100754	29	12	por	por	PROPN
esrj-100754	29	13	los	los	PROPN
esrj-100754	29	14	signos	signos	PROPN
esrj-100754	29	15	del	del	PROPN
esrj-100754	29	16	numerador	numerador	PROPN
esrj-100754	29	17	y	y	PROPN
esrj-100754	29	18	denominador	denominador	PROPN
esrj-100754	29	19	en	en	PROPN
esrj-100754	29	20	las	las	PROPN
esrj-100754	29	21	fórmulas	fórmulas	PROPN
esrj-100754	29	22	tangentes	tangente	NOUN
esrj-100754	29	23	.	.	PUNCT
esrj-100754	30	1	la	la	PROPN
esrj-100754	30	2	determinación	determinación	PROPN
esrj-100754	30	3	de	de	PROPN
esrj-100754	30	4	los	los	PROPN
esrj-100754	30	5	cuartiles	cuartiles	PROPN
esrj-100754	30	6	de	de	X
esrj-100754	30	7	los	los	PROPN
esrj-100754	30	8	ángulos	ángulos	PROPN
esrj-100754	30	9	se	se	PROPN
esrj-100754	30	10	hace	hace	PROPN
esrj-100754	30	11	en	en	PROPN
esrj-100754	30	12	el	el	PROPN
esrj-100754	30	13	computador	computador	PROPN
esrj-100754	30	14	con	con	PROPN
esrj-100754	30	15	los	los	PROPN
esrj-100754	30	16	bloques	bloques	PROPN
esrj-100754	30	17	si	si	PROPN
esrj-100754	30	18	...	...	PROPN
esrj-100754	30	19	,	,	PUNCT
esrj-100754	30	20	entonces	entonce	NOUN
esrj-100754	30	21	...	...	PUNCT
esrj-100754	30	22	,	,	PUNCT
esrj-100754	30	23	y	y	PROPN
esrj-100754	30	24	fin	fin	PROPN
esrj-100754	30	25	...	...	PUNCT
esrj-100754	30	26	se	se	X
esrj-100754	30	27	debe	debe	PROPN
esrj-100754	30	28	tener	tener	PROPN
esrj-100754	30	29	en	en	PROPN
esrj-100754	30	30	cuenta	cuenta	PROPN
esrj-100754	30	31	que	que	PROPN
esrj-100754	30	32	cada	cada	PROPN
esrj-100754	30	33	comparación	comparación	PROPN
esrj-100754	30	34	requiere	requiere	PROPN
esrj-100754	30	35	un	un	PROPN
esrj-100754	30	36	tiempo	tiempo	PROPN
esrj-100754	30	37	de	de	PROPN
esrj-100754	30	38	procesamiento	procesamiento	PROPN
esrj-100754	30	39	por	por	PROPN
esrj-100754	30	40	separado	separado	PROPN
esrj-100754	30	41	.	.	PUNCT
esrj-100754	30	42	este	este	PROPN
esrj-100754	30	43	estudio	estudio	PROPN
esrj-100754	30	44	presenta	presenta	PROPN
esrj-100754	30	45	cómo	cómo	PROPN
esrj-100754	30	46	calcular	calcular	PROPN
esrj-100754	30	47	los	los	PROPN
esrj-100754	30	48	ángulos	ángulos	PROPN
esrj-100754	30	49	rumbo	rumbo	PROPN
esrj-100754	30	50	y	y	PROPN
esrj-100754	30	51	acimuth	acimuth	PROPN
esrj-100754	30	52	con	con	PROPN
esrj-100754	30	53	formulas	formulas	PROPN
esrj-100754	30	54	directas	directas	VERB
esrj-100754	30	55	sin	sin	NOUN
esrj-100754	30	56	necesidad	necesidad	PROPN
esrj-100754	30	57	de	de	X
esrj-100754	30	58	examinarlas	examinarlas	PROPN
esrj-100754	30	59	.	.	PUNCT
esrj-100754	31	1	adicionalente	adicionalente	PROPN
esrj-100754	31	2	,	,	PUNCT
esrj-100754	31	3	se	se	PROPN
esrj-100754	31	4	dará	dará	PROPN
esrj-100754	31	5	una	una	PROPN
esrj-100754	31	6	propuesta	propuesta	PROPN
esrj-100754	31	7	de	de	X
esrj-100754	31	8	solución	solución	X
esrj-100754	31	9	frente	frente	PROPN
esrj-100754	31	10	a	a	PROPN
esrj-100754	31	11	la	la	X
esrj-100754	31	12	división	división	PROPN
esrj-100754	31	13	por	por	PROPN
esrj-100754	31	14	cero	cero	PROPN
esrj-100754	31	15	errores	errores	PROPN
esrj-100754	31	16	en	en	PROPN
esrj-100754	31	17	el	el	PROPN
esrj-100754	31	18	cálculo	cálculo	PROPN
esrj-100754	31	19	de	de	PROPN
esrj-100754	31	20	los	los	PROPN
esrj-100754	31	21	ángulos	ángulos	PROPN
esrj-100754	31	22	de	de	PROPN
esrj-100754	31	23	rumbo	rumbo	PROPN
esrj-100754	31	24	y	y	PROPN
esrj-100754	31	25	acimut	acimut	NOUN
esrj-100754	31	26	.	.	PUNCT
esrj-100754	32	1	palabras	palabras	PROPN
esrj-100754	32	2	clave	clave	PROPN
esrj-100754	32	3	:	:	PUNCT
esrj-100754	32	4	ángulos	ángulo	NOUN
esrj-100754	32	5	rumbo	rumbo	PROPN
esrj-100754	32	6	;	;	PUNCT
esrj-100754	32	7	ángulos	ángulo	NOUN
esrj-100754	32	8	azimuth	azimuth	PROPN
esrj-100754	32	9	;	;	PUNCT
esrj-100754	32	10	coordenadas	coordenadas	PROPN
esrj-100754	32	11	geográficas	geográficas	NOUN
esrj-100754	32	12	;	;	PUNCT
esrj-100754	32	13	coordenadas	coordenadas	PROPN
esrj-100754	32	14	soldner	soldner	NOUN
esrj-100754	32	15	;	;	PUNCT
esrj-100754	32	16	convergencia	convergencia	PROPN
esrj-100754	32	17	meridiana	meridiana	NOUN
esrj-100754	32	18	;	;	PUNCT
esrj-100754	32	19	error	error	NOUN
esrj-100754	32	20	de	de	X
esrj-100754	32	21	división	división	PROPN
esrj-100754	32	22	cero	cero	PROPN
esrj-100754	32	23	.	.	PROPN
esrj-100754	32	24	record	record	PROPN
esrj-100754	32	25	manuscript	manuscript	NOUN
esrj-100754	32	26	received	receive	VERB
esrj-100754	32	27	:	:	PUNCT
esrj-100754	32	28	25/02/2022	25/02/2022	NUM
esrj-100754	32	29	accepted	accept	VERB
esrj-100754	32	30	for	for	ADP
esrj-100754	32	31	publication	publication	NOUN
esrj-100754	32	32	:	:	PUNCT
esrj-100754	32	33	27/10/2022	27/10/2022	NUM
esrj-100754	32	34	how	how	SCONJ
esrj-100754	32	35	to	to	PART
esrj-100754	32	36	cite	cite	VERB
esrj-100754	32	37	item	item	NOUN
esrj-100754	32	38	:	:	PUNCT
esrj-100754	32	39	bektaş	bektaş	NOUN
esrj-100754	32	40	,	,	PUNCT
esrj-100754	32	41	s.	s.	PROPN
esrj-100754	32	42	(	(	PUNCT
esrj-100754	32	43	2022	2022	NUM
esrj-100754	32	44	)	)	PUNCT
esrj-100754	32	45	.	.	PUNCT
esrj-100754	33	1	rigorous	rigorous	ADJ
esrj-100754	33	2	spherical	spherical	ADJ
esrj-100754	33	3	bearing	bearing	NOUN
esrj-100754	33	4	with	with	ADP
esrj-100754	33	5	soldner	soldner	NOUN
esrj-100754	33	6	coordinates	coordinate	NOUN
esrj-100754	33	7	and	and	CCONJ
esrj-100754	33	8	azimuth	azimuth	NOUN
esrj-100754	33	9	angles	angle	NOUN
esrj-100754	33	10	on	on	ADP
esrj-100754	33	11	sphere	sphere	NOUN
esrj-100754	33	12	.	.	PUNCT
esrj-100754	34	1	earth	earth	PROPN
esrj-100754	34	2	sciences	sciences	PROPN
esrj-100754	34	3	research	research	PROPN
esrj-100754	34	4	journal	journal	PROPN
esrj-100754	34	5	,	,	PUNCT
esrj-100754	34	6	26(3	26(3	NUM
esrj-100754	34	7	)	)	PUNCT
esrj-100754	34	8	,	,	PUNCT
esrj-100754	34	9	205	205	NUM
esrj-100754	34	10	-	-	SYM
esrj-100754	34	11	210	210	NUM
esrj-100754	34	12	.	.	PUNCT
esrj-100754	34	13	https://doi.org/10.15446/esrj.v26n3.100754	https://doi.org/10.15446/esrj.v26n3.100754	NUM
esrj-100754	34	14	https://doi.org/10.15446/esrj.v26n3.100754	https://doi.org/10.15446/esrj.v26n3.100754	NUM
esrj-100754	34	15	mailto:sbektas@omu.edu.tr	mailto:sbektas@omu.edu.tr	PROPN
esrj-100754	34	16	https://doi.org/10.15446/esrj.v26n3.100754	https://doi.org/10.15446/esrj.v26n3.100754	NUM
esrj-100754	34	17	206	206	NUM
esrj-100754	34	18	sebahattin	sebahattin	NOUN
esrj-100754	34	19	bektaş	bektaş	NOUN
esrj-100754	34	20	1	1	NUM
esrj-100754	34	21	.	.	PUNCT
esrj-100754	35	1	introduction	introduction	NOUN
esrj-100754	35	2	the	the	DET
esrj-100754	35	3	reciprocal	reciprocal	ADJ
esrj-100754	35	4	bearing	bearing	NOUN
esrj-100754	35	5	angles	angle	NOUN
esrj-100754	35	6	are	be	AUX
esrj-100754	35	7	exactly	exactly	ADV
esrj-100754	35	8	180	180	NUM
esrj-100754	35	9	degrees	degree	NOUN
esrj-100754	35	10	different	different	ADJ
esrj-100754	35	11	on	on	ADP
esrj-100754	35	12	the	the	DET
esrj-100754	35	13	plane	plane	NOUN
esrj-100754	35	14	.	.	PUNCT
esrj-100754	36	1	unlike	unlike	ADP
esrj-100754	36	2	the	the	DET
esrj-100754	36	3	plane	plane	NOUN
esrj-100754	36	4	on	on	ADP
esrj-100754	36	5	the	the	DET
esrj-100754	36	6	sphere	sphere	NOUN
esrj-100754	36	7	surface	surface	NOUN
esrj-100754	36	8	,	,	PUNCT
esrj-100754	36	9	the	the	DET
esrj-100754	36	10	difference	difference	NOUN
esrj-100754	36	11	between	between	ADP
esrj-100754	36	12	reciprocal	reciprocal	ADJ
esrj-100754	36	13	bearing	bearing	NOUN
esrj-100754	36	14	or	or	CCONJ
esrj-100754	36	15	azimuth	azimuth	PROPN
esrj-100754	36	16	angle	angle	NOUN
esrj-100754	36	17	is	be	AUX
esrj-100754	36	18	approximately	approximately	ADV
esrj-100754	36	19	180	180	NUM
esrj-100754	36	20	degrees	degree	NOUN
esrj-100754	36	21	.	.	PUNCT
esrj-100754	37	1	therefore	therefore	ADV
esrj-100754	37	2	,	,	PUNCT
esrj-100754	37	3	while	while	SCONJ
esrj-100754	37	4	a	a	DET
esrj-100754	37	5	single	single	ADJ
esrj-100754	37	6	bearing	bearing	NOUN
esrj-100754	37	7	angle	angle	NOUN
esrj-100754	37	8	is	be	AUX
esrj-100754	37	9	sufficient	sufficient	ADJ
esrj-100754	37	10	in	in	ADP
esrj-100754	37	11	plane	plane	NOUN
esrj-100754	37	12	calculations	calculation	NOUN
esrj-100754	37	13	,	,	PUNCT
esrj-100754	37	14	it	it	PRON
esrj-100754	37	15	is	be	AUX
esrj-100754	37	16	desired	desire	VERB
esrj-100754	37	17	to	to	PART
esrj-100754	37	18	find	find	VERB
esrj-100754	37	19	reciprocal	reciprocal	ADJ
esrj-100754	37	20	bearing	bearing	NOUN
esrj-100754	37	21	or	or	CCONJ
esrj-100754	37	22	azimuth	azimuth	NOUN
esrj-100754	37	23	angles	angle	NOUN
esrj-100754	37	24	separately	separately	ADV
esrj-100754	37	25	on	on	ADP
esrj-100754	37	26	surfaces	surface	NOUN
esrj-100754	37	27	such	such	ADJ
esrj-100754	37	28	as	as	ADP
esrj-100754	37	29	spheres	sphere	NOUN
esrj-100754	37	30	and	and	CCONJ
esrj-100754	37	31	ellipsoids	ellipsoid	NOUN
esrj-100754	37	32	.	.	PUNCT
esrj-100754	38	1	classic	classic	VERB
esrj-100754	38	2	the	the	DET
esrj-100754	38	3	bearing	bearing	NOUN
esrj-100754	38	4	calculation	calculation	NOUN
esrj-100754	38	5	or	or	CCONJ
esrj-100754	38	6	the	the	DET
esrj-100754	38	7	azimuth	azimuth	NOUN
esrj-100754	38	8	calculation	calculation	NOUN
esrj-100754	38	9	formulas	formula	NOUN
esrj-100754	38	10	only	only	ADV
esrj-100754	38	11	work	work	VERB
esrj-100754	38	12	correctly	correctly	ADV
esrj-100754	38	13	if	if	SCONJ
esrj-100754	38	14	the	the	DET
esrj-100754	38	15	side	side	NOUN
esrj-100754	38	16	is	be	AUX
esrj-100754	38	17	in	in	ADP
esrj-100754	38	18	the	the	DET
esrj-100754	38	19	1st	1st	ADJ
esrj-100754	38	20	quarter	quarter	NOUN
esrj-100754	38	21	.	.	PUNCT
esrj-100754	39	1	if	if	SCONJ
esrj-100754	39	2	the	the	DET
esrj-100754	39	3	side	side	NOUN
esrj-100754	39	4	is	be	AUX
esrj-100754	39	5	located	locate	VERB
esrj-100754	39	6	in	in	ADP
esrj-100754	39	7	the	the	DET
esrj-100754	39	8	other	other	ADJ
esrj-100754	39	9	quarters	quarter	NOUN
esrj-100754	39	10	,	,	PUNCT
esrj-100754	39	11	the	the	DET
esrj-100754	39	12	angles	angle	NOUN
esrj-100754	39	13	of	of	ADP
esrj-100754	39	14	the	the	DET
esrj-100754	39	15	bearing	bearing	NOUN
esrj-100754	39	16	or	or	CCONJ
esrj-100754	39	17	azimuth	azimuth	NOUN
esrj-100754	39	18	should	should	AUX
esrj-100754	39	19	be	be	AUX
esrj-100754	39	20	examined	examine	VERB
esrj-100754	39	21	.	.	PUNCT
esrj-100754	40	1	for	for	ADP
esrj-100754	40	2	example	example	NOUN
esrj-100754	40	3	,	,	PUNCT
esrj-100754	40	4	if	if	SCONJ
esrj-100754	40	5	the	the	DET
esrj-100754	40	6	angle	angle	NOUN
esrj-100754	40	7	value	value	NOUN
esrj-100754	40	8	given	give	VERB
esrj-100754	40	9	by	by	ADP
esrj-100754	40	10	the	the	DET
esrj-100754	40	11	arctan	arctan	PROPN
esrj-100754	40	12	function	function	NOUN
esrj-100754	40	13	is	be	AUX
esrj-100754	40	14	positive	positive	ADJ
esrj-100754	40	15	,	,	PUNCT
esrj-100754	40	16	the	the	DET
esrj-100754	40	17	bearing	bearing	NOUN
esrj-100754	40	18	or	or	CCONJ
esrj-100754	40	19	azimuth	azimuth	PROPN
esrj-100754	40	20	angle	angle	NOUN
esrj-100754	40	21	is	be	AUX
esrj-100754	40	22	in	in	ADP
esrj-100754	40	23	the	the	DET
esrj-100754	40	24	1st	1st	ADJ
esrj-100754	40	25	or	or	CCONJ
esrj-100754	40	26	3rd	3rd	ADJ
esrj-100754	40	27	quarter	quarter	NOUN
esrj-100754	40	28	.	.	PUNCT
esrj-100754	41	1	if	if	SCONJ
esrj-100754	41	2	the	the	DET
esrj-100754	41	3	angle	angle	NOUN
esrj-100754	41	4	value	value	NOUN
esrj-100754	41	5	is	be	AUX
esrj-100754	41	6	negative	negative	ADJ
esrj-100754	41	7	,	,	PUNCT
esrj-100754	41	8	the	the	DET
esrj-100754	41	9	angle	angle	NOUN
esrj-100754	41	10	is	be	AUX
esrj-100754	41	11	in	in	ADP
esrj-100754	41	12	quarter	quarter	NOUN
esrj-100754	41	13	2	2	NUM
esrj-100754	41	14	or	or	CCONJ
esrj-100754	41	15	4	4	NUM
esrj-100754	41	16	.	.	PUNCT
esrj-100754	42	1	in	in	ADP
esrj-100754	42	2	order	order	NOUN
esrj-100754	42	3	to	to	PART
esrj-100754	42	4	find	find	VERB
esrj-100754	42	5	the	the	DET
esrj-100754	42	6	value	value	NOUN
esrj-100754	42	7	of	of	ADP
esrj-100754	42	8	the	the	DET
esrj-100754	42	9	angle	angle	NOUN
esrj-100754	42	10	as	as	ADP
esrj-100754	42	11	univocal	univocal	ADJ
esrj-100754	42	12	,	,	PUNCT
esrj-100754	42	13	the	the	DET
esrj-100754	42	14	angle	angle	NOUN
esrj-100754	42	15	values	value	NOUN
esrj-100754	42	16	found	find	VERB
esrj-100754	42	17	from	from	ADP
esrj-100754	42	18	the	the	DET
esrj-100754	42	19	classical	classical	ADJ
esrj-100754	42	20	formulas	formula	NOUN
esrj-100754	42	21	need	need	VERB
esrj-100754	42	22	to	to	PART
esrj-100754	42	23	be	be	AUX
esrj-100754	42	24	examined	examine	VERB
esrj-100754	42	25	.	.	PUNCT
esrj-100754	43	1	bearing	bearing	NOUN
esrj-100754	43	2	or	or	CCONJ
esrj-100754	43	3	azimuth	azimuth	NOUN
esrj-100754	43	4	angles	angle	NOUN
esrj-100754	43	5	are	be	AUX
esrj-100754	43	6	critical	critical	ADJ
esrj-100754	43	7	in	in	ADP
esrj-100754	43	8	geodetic	geodetic	ADJ
esrj-100754	43	9	calculations	calculation	NOUN
esrj-100754	43	10	.	.	PUNCT
esrj-100754	44	1	it	it	PRON
esrj-100754	44	2	is	be	AUX
esrj-100754	44	3	impossible	impossible	ADJ
esrj-100754	44	4	to	to	PART
esrj-100754	44	5	produce	produce	VERB
esrj-100754	44	6	correct	correct	ADJ
esrj-100754	44	7	position	position	NOUN
esrj-100754	44	8	information	information	NOUN
esrj-100754	44	9	with	with	ADP
esrj-100754	44	10	wrong	wrong	ADJ
esrj-100754	44	11	bearing	bearing	NOUN
esrj-100754	44	12	or	or	CCONJ
esrj-100754	44	13	azimuth	azimuth	NOUN
esrj-100754	44	14	angles	angle	NOUN
esrj-100754	44	15	.	.	PUNCT
esrj-100754	45	1	calculation	calculation	NOUN
esrj-100754	45	2	of	of	ADP
esrj-100754	45	3	angles	angle	NOUN
esrj-100754	45	4	is	be	AUX
esrj-100754	45	5	done	do	VERB
esrj-100754	45	6	with	with	ADP
esrj-100754	45	7	the	the	DET
esrj-100754	45	8	inverse	inverse	NOUN
esrj-100754	45	9	(	(	PUNCT
esrj-100754	45	10	second	second	ADJ
esrj-100754	45	11	)	)	PUNCT
esrj-100754	45	12	geodetic	geodetic	ADJ
esrj-100754	45	13	problem	problem	NOUN
esrj-100754	45	14	.	.	PUNCT
esrj-100754	46	1	while	while	SCONJ
esrj-100754	46	2	solving	solve	VERB
esrj-100754	46	3	the	the	DET
esrj-100754	46	4	inverse	inverse	ADJ
esrj-100754	46	5	geodetic	geodetic	ADJ
esrj-100754	46	6	problem	problem	NOUN
esrj-100754	46	7	in	in	ADP
esrj-100754	46	8	order	order	NOUN
esrj-100754	46	9	to	to	PART
esrj-100754	46	10	find	find	VERB
esrj-100754	46	11	reciprocal	reciprocal	ADJ
esrj-100754	46	12	bearing	bearing	NOUN
esrj-100754	46	13	or	or	CCONJ
esrj-100754	46	14	azimuth	azimuth	NOUN
esrj-100754	46	15	angles	angle	NOUN
esrj-100754	46	16	,	,	PUNCT
esrj-100754	46	17	first	first	ADV
esrj-100754	46	18	,	,	PUNCT
esrj-100754	46	19	the	the	DET
esrj-100754	46	20	angle	angle	NOUN
esrj-100754	46	21	from	from	ADP
esrj-100754	46	22	1	1	NUM
esrj-100754	46	23	to	to	PART
esrj-100754	46	24	2	2	NUM
esrj-100754	46	25	is	be	AUX
esrj-100754	46	26	found	find	VERB
esrj-100754	46	27	.	.	PUNCT
esrj-100754	47	1	as	as	ADP
esrj-100754	47	2	a	a	DET
esrj-100754	47	3	result	result	NOUN
esrj-100754	47	4	of	of	ADP
esrj-100754	47	5	the	the	DET
esrj-100754	47	6	analysis	analysis	NOUN
esrj-100754	47	7	,	,	PUNCT
esrj-100754	47	8	if	if	SCONJ
esrj-100754	47	9	the	the	DET
esrj-100754	47	10	1st	1st	ADJ
esrj-100754	47	11	bearing	bearing	NOUN
esrj-100754	47	12	or	or	CCONJ
esrj-100754	47	13	azimuth	azimuth	PROPN
esrj-100754	47	14	angle	angle	NOUN
esrj-100754	47	15	is	be	AUX
esrj-100754	47	16	wrong	wrong	ADJ
esrj-100754	47	17	,	,	PUNCT
esrj-100754	47	18	it	it	PRON
esrj-100754	47	19	is	be	AUX
esrj-100754	47	20	likely	likely	ADJ
esrj-100754	47	21	to	to	PART
esrj-100754	47	22	be	be	AUX
esrj-100754	47	23	wrong	wrong	ADJ
esrj-100754	47	24	in	in	ADP
esrj-100754	47	25	the	the	DET
esrj-100754	47	26	opposite	opposite	NOUN
esrj-100754	47	27	(	(	PUNCT
esrj-100754	47	28	from	from	ADP
esrj-100754	47	29	2	2	NUM
esrj-100754	47	30	to	to	ADP
esrj-100754	47	31	1	1	NUM
esrj-100754	47	32	)	)	PUNCT
esrj-100754	47	33	bearing	bearing	NOUN
esrj-100754	47	34	or	or	CCONJ
esrj-100754	47	35	azimuth	azimuth	ADV
esrj-100754	47	36	.	.	PUNCT
esrj-100754	48	1	in	in	ADP
esrj-100754	48	2	the	the	DET
esrj-100754	48	3	proposed	propose	VERB
esrj-100754	48	4	method	method	NOUN
esrj-100754	48	5	,	,	PUNCT
esrj-100754	48	6	reciprocal	reciprocal	ADJ
esrj-100754	48	7	bearing	bearing	NOUN
esrj-100754	48	8	or	or	CCONJ
esrj-100754	48	9	azimuth	azimuth	NOUN
esrj-100754	48	10	angles	angle	NOUN
esrj-100754	48	11	are	be	AUX
esrj-100754	48	12	obtained	obtain	VERB
esrj-100754	48	13	independently	independently	ADV
esrj-100754	48	14	and	and	CCONJ
esrj-100754	48	15	directly	directly	ADV
esrj-100754	48	16	.	.	PUNCT
esrj-100754	49	1	in	in	ADP
esrj-100754	49	2	our	our	PRON
esrj-100754	49	3	literature	literature	NOUN
esrj-100754	49	4	research	research	NOUN
esrj-100754	49	5	,	,	PUNCT
esrj-100754	49	6	we	we	PRON
esrj-100754	49	7	came	come	VERB
esrj-100754	49	8	found	find	VERB
esrj-100754	49	9	some	some	DET
esrj-100754	49	10	studies	study	NOUN
esrj-100754	49	11	only	only	ADV
esrj-100754	49	12	for	for	ADP
esrj-100754	49	13	determining	determine	VERB
esrj-100754	49	14	plane	plane	NOUN
esrj-100754	49	15	bearing	bearing	NOUN
esrj-100754	49	16	angle	angle	NOUN
esrj-100754	49	17	(	(	PUNCT
esrj-100754	49	18	antes	ante	NOUN
esrj-100754	49	19	,	,	PUNCT
esrj-100754	49	20	1990	1990	NUM
esrj-100754	49	21	;	;	PUNCT
esrj-100754	49	22	breuer	breuer	PROPN
esrj-100754	49	23	et	et	PROPN
esrj-100754	49	24	al	al	PROPN
esrj-100754	49	25	.	.	PROPN
esrj-100754	49	26	,	,	PUNCT
esrj-100754	49	27	1985	1985	NUM
esrj-100754	49	28	;	;	PUNCT
esrj-100754	49	29	gellert	gellert	PROPN
esrj-100754	49	30	et	et	PROPN
esrj-100754	49	31	al	al	PROPN
esrj-100754	49	32	.	.	PROPN
esrj-100754	49	33	,	,	PUNCT
esrj-100754	49	34	1972	1972	NUM
esrj-100754	49	35	)	)	PUNCT
esrj-100754	49	36	demonstrated	demonstrate	VERB
esrj-100754	49	37	direct	direct	ADJ
esrj-100754	49	38	bearing	bearing	NOUN
esrj-100754	49	39	angle	angle	NOUN
esrj-100754	49	40	determination	determination	NOUN
esrj-100754	49	41	in	in	ADP
esrj-100754	49	42	the	the	DET
esrj-100754	49	43	plane	plane	NOUN
esrj-100754	49	44	without	without	ADP
esrj-100754	49	45	quarter	quarter	NOUN
esrj-100754	49	46	analysis	analysis	NOUN
esrj-100754	49	47	.	.	PUNCT
esrj-100754	50	1	hekimoglu	hekimoglu	NOUN
esrj-100754	50	2	(	(	PUNCT
esrj-100754	50	3	1991	1991	NUM
esrj-100754	50	4	)	)	PUNCT
esrj-100754	50	5	also	also	ADV
esrj-100754	50	6	examined	examine	VERB
esrj-100754	50	7	the	the	DET
esrj-100754	50	8	condition	condition	NOUN
esrj-100754	50	9	problem	problem	NOUN
esrj-100754	50	10	and	and	CCONJ
esrj-100754	50	11	the	the	DET
esrj-100754	50	12	direct	direct	ADJ
esrj-100754	50	13	formulas	formula	NOUN
esrj-100754	50	14	.	.	PUNCT
esrj-100754	51	1	we	we	PRON
esrj-100754	51	2	could	could	AUX
esrj-100754	51	3	not	not	PART
esrj-100754	51	4	find	find	VERB
esrj-100754	51	5	any	any	DET
esrj-100754	51	6	studies	study	NOUN
esrj-100754	51	7	that	that	PRON
esrj-100754	51	8	give	give	VERB
esrj-100754	51	9	a	a	DET
esrj-100754	51	10	direct	direct	ADJ
esrj-100754	51	11	bearing	bearing	NOUN
esrj-100754	51	12	and	and	CCONJ
esrj-100754	51	13	azimuth	azimuth	NOUN
esrj-100754	51	14	angle	angle	NOUN
esrj-100754	51	15	on	on	ADP
esrj-100754	51	16	the	the	DET
esrj-100754	51	17	spherical	spherical	ADJ
esrj-100754	51	18	surface	surface	NOUN
esrj-100754	51	19	.	.	PUNCT
esrj-100754	52	1	formulas	formula	NOUN
esrj-100754	52	2	that	that	PRON
esrj-100754	52	3	give	give	VERB
esrj-100754	52	4	a	a	DET
esrj-100754	52	5	direct	direct	ADJ
esrj-100754	52	6	azimuth	azimuth	NOUN
esrj-100754	52	7	angle	angle	NOUN
esrj-100754	52	8	on	on	ADP
esrj-100754	52	9	the	the	DET
esrj-100754	52	10	sphere	sphere	NOUN
esrj-100754	52	11	surface	surface	NOUN
esrj-100754	52	12	without	without	ADP
esrj-100754	52	13	examining	examine	VERB
esrj-100754	52	14	the	the	DET
esrj-100754	52	15	quarter	quarter	NOUN
esrj-100754	52	16	with	with	ADP
esrj-100754	52	17	geographical	geographical	ADJ
esrj-100754	52	18	coordinates	coordinate	NOUN
esrj-100754	52	19	are	be	AUX
esrj-100754	52	20	shown	show	VERB
esrj-100754	52	21	by	by	ADP
esrj-100754	52	22	the	the	DET
esrj-100754	52	23	author	author	NOUN
esrj-100754	52	24	in	in	ADP
esrj-100754	52	25	(	(	PUNCT
esrj-100754	52	26	bektas	bekta	NOUN
esrj-100754	52	27	,	,	PUNCT
esrj-100754	52	28	2019	2019	NUM
esrj-100754	52	29	;	;	PUNCT
esrj-100754	52	30	bektas	bekta	NOUN
esrj-100754	52	31	,	,	PUNCT
esrj-100754	52	32	2021	2021	NUM
esrj-100754	52	33	)	)	PUNCT
esrj-100754	52	34	.	.	PUNCT
esrj-100754	53	1	for	for	ADP
esrj-100754	53	2	the	the	DET
esrj-100754	53	3	first	first	ADJ
esrj-100754	53	4	time	time	NOUN
esrj-100754	53	5	,	,	PUNCT
esrj-100754	53	6	in	in	ADP
esrj-100754	53	7	this	this	DET
esrj-100754	53	8	study	study	NOUN
esrj-100754	53	9	,	,	PUNCT
esrj-100754	53	10	formulas	formula	NOUN
esrj-100754	53	11	that	that	PRON
esrj-100754	53	12	give	give	VERB
esrj-100754	53	13	a	a	DET
esrj-100754	53	14	direct	direct	ADJ
esrj-100754	53	15	bearing	bearing	NOUN
esrj-100754	53	16	angle	angle	NOUN
esrj-100754	53	17	without	without	ADP
esrj-100754	53	18	examining	examine	VERB
esrj-100754	53	19	the	the	DET
esrj-100754	53	20	quarter	quarter	NOUN
esrj-100754	53	21	with	with	ADP
esrj-100754	53	22	soldner	soldner	NOUN
esrj-100754	53	23	coordinates	coordinate	NOUN
esrj-100754	53	24	on	on	ADP
esrj-100754	53	25	the	the	DET
esrj-100754	53	26	sphere	sphere	NOUN
esrj-100754	53	27	surface	surface	NOUN
esrj-100754	53	28	will	will	AUX
esrj-100754	53	29	be	be	AUX
esrj-100754	53	30	discussed	discuss	VERB
esrj-100754	53	31	.	.	PUNCT
esrj-100754	54	1	on	on	ADP
esrj-100754	54	2	the	the	DET
esrj-100754	54	3	other	other	ADJ
esrj-100754	54	4	hand	hand	NOUN
esrj-100754	54	5	,	,	PUNCT
esrj-100754	54	6	a	a	DET
esrj-100754	54	7	solution	solution	NOUN
esrj-100754	54	8	proposal	proposal	NOUN
esrj-100754	54	9	will	will	AUX
esrj-100754	54	10	be	be	AUX
esrj-100754	54	11	given	give	VERB
esrj-100754	54	12	against	against	ADP
esrj-100754	54	13	the	the	DET
esrj-100754	54	14	division	division	NOUN
esrj-100754	54	15	by	by	ADP
esrj-100754	54	16	zero	zero	NUM
esrj-100754	54	17	errors	error	NOUN
esrj-100754	54	18	in	in	ADP
esrj-100754	54	19	the	the	DET
esrj-100754	54	20	bearing	bearing	NOUN
esrj-100754	54	21	and	and	CCONJ
esrj-100754	54	22	azimuth	azimuth	NOUN
esrj-100754	54	23	angles	angle	NOUN
esrj-100754	54	24	calculations	calculation	NOUN
esrj-100754	54	25	.	.	PUNCT
esrj-100754	55	1	in	in	ADP
esrj-100754	55	2	this	this	DET
esrj-100754	55	3	paper	paper	NOUN
esrj-100754	55	4	,	,	PUNCT
esrj-100754	55	5	firstly	firstly	ADV
esrj-100754	55	6	,	,	PUNCT
esrj-100754	55	7	bearing	bearing	NOUN
esrj-100754	55	8	and	and	CCONJ
esrj-100754	55	9	azimuth	azimuth	PROPN
esrj-100754	55	10	angle	angle	NOUN
esrj-100754	55	11	,	,	PUNCT
esrj-100754	55	12	meridian	meridian	NOUN
esrj-100754	55	13	system	system	NOUN
esrj-100754	55	14	and	and	CCONJ
esrj-100754	55	15	soldner	soldner	NOUN
esrj-100754	55	16	coordinates	coordinate	NOUN
esrj-100754	55	17	on	on	ADP
esrj-100754	55	18	sphere	sphere	NOUN
esrj-100754	55	19	will	will	AUX
esrj-100754	55	20	be	be	AUX
esrj-100754	55	21	mentioned	mention	VERB
esrj-100754	55	22	in	in	ADP
esrj-100754	55	23	order	order	NOUN
esrj-100754	55	24	to	to	PART
esrj-100754	55	25	form	form	VERB
esrj-100754	55	26	a	a	DET
esrj-100754	55	27	basis	basis	NOUN
esrj-100754	55	28	for	for	ADP
esrj-100754	55	29	the	the	DET
esrj-100754	55	30	subject	subject	NOUN
esrj-100754	55	31	.	.	PUNCT
esrj-100754	56	1	after	after	ADP
esrj-100754	56	2	the	the	DET
esrj-100754	56	3	relationship	relationship	NOUN
esrj-100754	56	4	between	between	ADP
esrj-100754	56	5	azimuth	azimuth	PROPN
esrj-100754	56	6	,	,	PUNCT
esrj-100754	56	7	bearing	bear	VERB
esrj-100754	56	8	angle	angle	NOUN
esrj-100754	56	9	and	and	CCONJ
esrj-100754	56	10	meridian	meridian	PROPN
esrj-100754	56	11	convergence	convergence	NOUN
esrj-100754	56	12	is	be	AUX
esrj-100754	56	13	given	give	VERB
esrj-100754	56	14	,	,	PUNCT
esrj-100754	56	15	direct	direct	ADJ
esrj-100754	56	16	azimuth	azimuth	NOUN
esrj-100754	56	17	angle	angle	NOUN
esrj-100754	56	18	determination	determination	NOUN
esrj-100754	56	19	with	with	ADP
esrj-100754	56	20	geographical	geographical	ADJ
esrj-100754	56	21	coordinates	coordinate	NOUN
esrj-100754	56	22	,	,	PUNCT
esrj-100754	56	23	then	then	ADV
esrj-100754	56	24	direct	direct	ADJ
esrj-100754	56	25	bearing	bearing	NOUN
esrj-100754	56	26	angle	angle	NOUN
esrj-100754	56	27	determination	determination	NOUN
esrj-100754	56	28	with	with	ADP
esrj-100754	56	29	soldner	soldner	PROPN
esrj-100754	56	30	coordinates	coordinate	NOUN
esrj-100754	56	31	will	will	AUX
esrj-100754	56	32	be	be	AUX
esrj-100754	56	33	discussed	discuss	VERB
esrj-100754	56	34	.	.	PUNCT
esrj-100754	57	1	2	2	X
esrj-100754	57	2	.	.	X
esrj-100754	57	3	direct	direct	ADJ
esrj-100754	57	4	azimuth	azimuth	NOUN
esrj-100754	57	5	angles	angle	NOUN
esrj-100754	57	6	with	with	ADP
esrj-100754	57	7	geographical	geographical	ADJ
esrj-100754	57	8	coordinates	coordinate	NOUN
esrj-100754	57	9	figure	figure	VERB
esrj-100754	57	10	1	1	NUM
esrj-100754	57	11	.	.	PUNCT
esrj-100754	57	12	problem	problem	NOUN
esrj-100754	57	13	on	on	ADP
esrj-100754	57	14	sphere	sphere	NOUN
esrj-100754	57	15	classically	classically	ADV
esrj-100754	57	16	,	,	PUNCT
esrj-100754	57	17	the	the	DET
esrj-100754	57	18	reciprocal	reciprocal	ADJ
esrj-100754	57	19	azimuth	azimuth	NOUN
esrj-100754	57	20	angles	angle	NOUN
esrj-100754	57	21	(	(	PUNCT
esrj-100754	57	22	a12	a12	NOUN
esrj-100754	57	23	,	,	PUNCT
esrj-100754	57	24	a21	a21	PROPN
esrj-100754	57	25	)	)	PUNCT
esrj-100754	57	26	from	from	ADP
esrj-100754	57	27	two	two	NUM
esrj-100754	57	28	points	point	NOUN
esrj-100754	57	29	whose	whose	DET
esrj-100754	57	30	geographic	geographic	ADJ
esrj-100754	57	31	coordinates	coordinate	NOUN
esrj-100754	57	32	p1(φ1	p1(φ1	PROPN
esrj-100754	57	33	,	,	PUNCT
esrj-100754	57	34	λ1	λ1	PROPN
esrj-100754	57	35	)	)	PUNCT
esrj-100754	57	36	,	,	PUNCT
esrj-100754	57	37	p2(φ2,λ2	p2(φ2,λ2	NOUN
esrj-100754	57	38	)	)	PUNCT
esrj-100754	57	39	are	be	AUX
esrj-100754	57	40	given	give	VERB
esrj-100754	57	41	obtained	obtain	VERB
esrj-100754	57	42	from	from	ADP
esrj-100754	57	43	the	the	DET
esrj-100754	57	44	following	follow	VERB
esrj-100754	57	45	formulas	formula	NOUN
esrj-100754	57	46	(	(	PUNCT
esrj-100754	57	47	fig.1	fig.1	PROPN
esrj-100754	57	48	)	)	PUNCT
esrj-100754	57	49	.	.	PUNCT
esrj-100754	58	1	(	(	PUNCT
esrj-100754	58	2	1	1	X
esrj-100754	58	3	)	)	PUNCT
esrj-100754	58	4	(	(	PUNCT
esrj-100754	58	5	2	2	X
esrj-100754	58	6	)	)	PUNCT
esrj-100754	58	7	it	it	PRON
esrj-100754	58	8	is	be	AUX
esrj-100754	58	9	important	important	ADJ
esrj-100754	58	10	to	to	PART
esrj-100754	58	11	remember	remember	VERB
esrj-100754	58	12	that	that	SCONJ
esrj-100754	58	13	these	these	DET
esrj-100754	58	14	classic	classic	ADJ
esrj-100754	58	15	formulas	formula	NOUN
esrj-100754	58	16	only	only	ADV
esrj-100754	58	17	work	work	VERB
esrj-100754	58	18	correctly	correctly	ADV
esrj-100754	58	19	if	if	SCONJ
esrj-100754	58	20	the	the	DET
esrj-100754	58	21	side	side	NOUN
esrj-100754	58	22	is	be	AUX
esrj-100754	58	23	in	in	ADP
esrj-100754	58	24	the	the	DET
esrj-100754	58	25	1st	1st	ADJ
esrj-100754	58	26	quarter	quarter	NOUN
esrj-100754	58	27	.	.	PUNCT
esrj-100754	59	1	if	if	SCONJ
esrj-100754	59	2	the	the	DET
esrj-100754	59	3	side	side	NOUN
esrj-100754	59	4	is	be	AUX
esrj-100754	59	5	located	locate	VERB
esrj-100754	59	6	in	in	ADP
esrj-100754	59	7	the	the	DET
esrj-100754	59	8	other	other	ADJ
esrj-100754	59	9	quarters	quarter	NOUN
esrj-100754	59	10	,	,	PUNCT
esrj-100754	59	11	the	the	DET
esrj-100754	59	12	angles	angle	NOUN
esrj-100754	59	13	of	of	ADP
esrj-100754	59	14	the	the	DET
esrj-100754	59	15	bearing	bearing	NOUN
esrj-100754	59	16	angle	angle	NOUN
esrj-100754	59	17	should	should	AUX
esrj-100754	59	18	be	be	AUX
esrj-100754	59	19	examined	examine	VERB
esrj-100754	59	20	.	.	PUNCT
esrj-100754	60	1	the	the	DET
esrj-100754	60	2	necessary	necessary	ADJ
esrj-100754	60	3	additions	addition	NOUN
esrj-100754	60	4	should	should	AUX
esrj-100754	60	5	be	be	AUX
esrj-100754	60	6	made	make	VERB
esrj-100754	60	7	for	for	ADP
esrj-100754	60	8	correct	correct	ADJ
esrj-100754	60	9	angles	angle	NOUN
esrj-100754	60	10	according	accord	VERB
esrj-100754	60	11	to	to	ADP
esrj-100754	60	12	table-1	table-1	PROPN
esrj-100754	60	13	seen	see	VERB
esrj-100754	60	14	below	below	ADP
esrj-100754	60	15	.	.	PUNCT
esrj-100754	61	1	table	table	NOUN
esrj-100754	61	2	1	1	NUM
esrj-100754	61	3	.	.	PUNCT
esrj-100754	61	4	fixed	fix	VERB
esrj-100754	61	5	value	value	NOUN
esrj-100754	61	6	to	to	PART
esrj-100754	61	7	add	add	VERB
esrj-100754	61	8	for	for	ADP
esrj-100754	61	9	azimuth	azimuth	NOUN
esrj-100754	61	10	angles	angle	NOUN
esrj-100754	61	11	quadrant	quadrant	NOUN
esrj-100754	61	12	∆φ	∆φ	PROPN
esrj-100754	61	13	=	=	ADJ
esrj-100754	61	14	φ2−φ1	φ2−φ1	NOUN
esrj-100754	61	15	∆λ	∆λ	NOUN
esrj-100754	61	16	=	=	PROPN
esrj-100754	61	17	λ2−	λ2−	X
esrj-100754	61	18	λ1	λ1	ADJ
esrj-100754	61	19	fixed	fix	VERB
esrj-100754	61	20	value	value	NOUN
esrj-100754	61	21	to	to	PART
esrj-100754	61	22	add	add	VERB
esrj-100754	61	23	for	for	ADP
esrj-100754	61	24	a12	a12	NUM
esrj-100754	61	25	fixed	fix	VERB
esrj-100754	61	26	value	value	NOUN
esrj-100754	61	27	to	to	PART
esrj-100754	61	28	add	add	VERB
esrj-100754	61	29	for	for	ADP
esrj-100754	61	30	a21	a21	NOUN
esrj-100754	61	31	1.quadrant	1.quadrant	NUM
esrj-100754	61	32	+	+	PUNCT
esrj-100754	62	1	+	+	CCONJ
esrj-100754	62	2	2.quadrant	2.quadrant	NUM
esrj-100754	62	3	+	+	CCONJ
esrj-100754	62	4	+180o	+180o	PRON
esrj-100754	62	5	+180o	+180o	PRON
esrj-100754	62	6	3.quadrant	3.quadrant	NUM
esrj-100754	63	1	+180o	+180o	NUM
esrj-100754	63	2	-180o	-180o	PROPN
esrj-100754	63	3	4.quadrant	4.quadrant	X
esrj-100754	63	4	+	+	CCONJ
esrj-100754	63	5	+360o	+360o	VERB
esrj-100754	63	6	in	in	ADP
esrj-100754	63	7	this	this	DET
esrj-100754	63	8	proposed	propose	VERB
esrj-100754	63	9	method	method	NOUN
esrj-100754	63	10	,	,	PUNCT
esrj-100754	63	11	formulas	formula	NOUN
esrj-100754	63	12	are	be	AUX
esrj-100754	63	13	given	give	VERB
esrj-100754	63	14	for	for	ADP
esrj-100754	63	15	obtaining	obtain	VERB
esrj-100754	63	16	the	the	DET
esrj-100754	63	17	azimuth	azimuth	NOUN
esrj-100754	63	18	angle	angle	NOUN
esrj-100754	63	19	directly	directly	ADV
esrj-100754	63	20	without	without	ADP
esrj-100754	63	21	any	any	DET
esrj-100754	63	22	examination	examination	NOUN
esrj-100754	63	23	.	.	PUNCT
esrj-100754	64	1	for	for	ADP
esrj-100754	64	2	direct	direct	ADJ
esrj-100754	64	3	determination	determination	NOUN
esrj-100754	64	4	of	of	ADP
esrj-100754	64	5	azimuth	azimuth	NOUN
esrj-100754	64	6	by	by	ADP
esrj-100754	64	7	geographic	geographic	ADJ
esrj-100754	64	8	coordinates	coordinate	NOUN
esrj-100754	64	9	,	,	PUNCT
esrj-100754	64	10	we	we	PRON
esrj-100754	64	11	provide	provide	VERB
esrj-100754	64	12	the	the	DET
esrj-100754	64	13	below	below	ADJ
esrj-100754	64	14	formulas	formula	NOUN
esrj-100754	64	15	.	.	PUNCT
esrj-100754	65	1	in	in	ADP
esrj-100754	65	2	this	this	DET
esrj-100754	65	3	proposed	propose	VERB
esrj-100754	65	4	method	method	NOUN
esrj-100754	65	5	,	,	PUNCT
esrj-100754	65	6	formulas	formula	NOUN
esrj-100754	65	7	are	be	AUX
esrj-100754	65	8	given	give	VERB
esrj-100754	65	9	to	to	PART
esrj-100754	65	10	obtain	obtain	VERB
esrj-100754	65	11	the	the	DET
esrj-100754	65	12	azimuth	azimuth	NOUN
esrj-100754	65	13	angle	angle	NOUN
esrj-100754	65	14	directly	directly	ADV
esrj-100754	65	15	without	without	ADP
esrj-100754	65	16	any	any	DET
esrj-100754	65	17	examination	examination	NOUN
esrj-100754	65	18	.	.	PUNCT
esrj-100754	66	1	the	the	DET
esrj-100754	66	2	proposed	propose	VERB
esrj-100754	66	3	method	method	NOUN
esrj-100754	66	4	can	can	AUX
esrj-100754	66	5	calculate	calculate	VERB
esrj-100754	66	6	direct	direct	ADJ
esrj-100754	66	7	azimuth	azimuth	NOUN
esrj-100754	66	8	angles	angle	NOUN
esrj-100754	66	9	on	on	ADP
esrj-100754	66	10	the	the	DET
esrj-100754	66	11	sphere	sphere	NOUN
esrj-100754	66	12	and	and	CCONJ
esrj-100754	66	13	ellipsoid	ellipsoid	PROPN
esrj-100754	66	14	surface	surface	NOUN
esrj-100754	66	15	(	(	PUNCT
esrj-100754	66	16	bektas	bekta	NOUN
esrj-100754	66	17	,	,	PUNCT
esrj-100754	66	18	2019	2019	NUM
esrj-100754	66	19	)	)	PUNCT
esrj-100754	66	20	.	.	PUNCT
esrj-100754	67	1	i	i	PRON
esrj-100754	67	2	=	=	NOUN
esrj-100754	67	3	sinδ	sinδ	NOUN
esrj-100754	67	4	λ	λ	PROPN
esrj-100754	67	5	ii	ii	NOUN
esrj-100754	67	6	=	=	PROPN
esrj-100754	67	7	tan	tan	PROPN
esrj-100754	67	8	2cos	2cos	PROPN
esrj-100754	67	9	1	1	NUM
esrj-100754	67	10	−	−	NOUN
esrj-100754	67	11	sin	sin	NOUN
esrj-100754	67	12	1cosδ	1cosδ	NUM
esrj-100754	67	13	iii	iii	SYM
esrj-100754	67	14	=	=	ADJ
esrj-100754	67	15	tan	tan	ADJ
esrj-100754	67	16	1cos	1cos	NUM
esrj-100754	67	17	2	2	NUM
esrj-100754	67	18	−	−	NOUN
esrj-100754	67	19	sin	sin	NOUN
esrj-100754	67	20	2cosδ	2cosδ	NUM
esrj-100754	67	21	a	a	DET
esrj-100754	67	22	12	12	NUM
esrj-100754	67	23	=	=	SYM
esrj-100754	67	24	2.arctan	2.arctan	NUM
esrj-100754	67	25	(	(	PUNCT
esrj-100754	67	26	−√	−√	NOUN
esrj-100754	67	27	2	2	NUM
esrj-100754	67	28	+	+	NUM
esrj-100754	67	29	2	2	NUM
esrj-100754	67	30	)	)	PUNCT
esrj-100754	67	31	+	+	CCONJ
esrj-100754	67	32	180	180	NUM
esrj-100754	67	33	a	a	DET
esrj-100754	67	34	21	21	NUM
esrj-100754	67	35	=	=	SYM
esrj-100754	67	36	2.arctan	2.arctan	NUM
esrj-100754	67	37	(	(	PUNCT
esrj-100754	67	38	−	−	PROPN
esrj-100754	67	39	+	+	ADJ
esrj-100754	67	40	√	√	PROPN
esrj-100754	67	41	2	2	NUM
esrj-100754	67	42	+	+	NUM
esrj-100754	67	43	2	2	NUM
esrj-100754	67	44	)	)	PUNCT
esrj-100754	67	45	+	+	CCONJ
esrj-100754	67	46	180	180	NUM
esrj-100754	67	47	(	(	PUNCT
esrj-100754	67	48	3)i	3)i	NUM
esrj-100754	67	49	=	=	NOUN
esrj-100754	67	50	sinδ	sinδ	NOUN
esrj-100754	67	51	λ	λ	X
esrj-100754	67	52	ii	ii	NOUN
esrj-100754	67	53	=	=	PROPN
esrj-100754	67	54	tan	tan	PROPN
esrj-100754	67	55	2cos	2cos	PROPN
esrj-100754	67	56	1	1	NUM
esrj-100754	67	57	−	−	NOUN
esrj-100754	67	58	sin	sin	NOUN
esrj-100754	67	59	1cosδ	1cosδ	NUM
esrj-100754	67	60	iii	iii	SYM
esrj-100754	67	61	=	=	ADJ
esrj-100754	67	62	tan	tan	ADJ
esrj-100754	67	63	1cos	1cos	NUM
esrj-100754	67	64	2	2	NUM
esrj-100754	67	65	−	−	NOUN
esrj-100754	67	66	sin	sin	NOUN
esrj-100754	67	67	2cosδ	2cosδ	NUM
esrj-100754	67	68	a	a	DET
esrj-100754	67	69	12	12	NUM
esrj-100754	67	70	=	=	SYM
esrj-100754	67	71	2.arctan	2.arctan	NUM
esrj-100754	67	72	(	(	PUNCT
esrj-100754	67	73	−√	−√	NOUN
esrj-100754	67	74	2	2	NUM
esrj-100754	67	75	+	+	NUM
esrj-100754	67	76	2	2	NUM
esrj-100754	67	77	)	)	PUNCT
esrj-100754	67	78	+	+	CCONJ
esrj-100754	67	79	180	180	NUM
esrj-100754	67	80	a	a	DET
esrj-100754	67	81	21	21	NUM
esrj-100754	67	82	=	=	SYM
esrj-100754	67	83	2.arctan	2.arctan	NUM
esrj-100754	67	84	(	(	PUNCT
esrj-100754	67	85	−	−	PROPN
esrj-100754	67	86	+	+	ADJ
esrj-100754	67	87	√	√	PROPN
esrj-100754	67	88	2	2	NUM
esrj-100754	67	89	+	+	NUM
esrj-100754	67	90	2	2	NUM
esrj-100754	67	91	)	)	PUNCT
esrj-100754	67	92	+	+	CCONJ
esrj-100754	67	93	180	180	NUM
esrj-100754	67	94	(	(	PUNCT
esrj-100754	67	95	4	4	NUM
esrj-100754	67	96	)	)	PUNCT
esrj-100754	67	97	i	i	PRON
esrj-100754	67	98	=	=	NOUN
esrj-100754	67	99	sinδ	sinδ	NOUN
esrj-100754	67	100	λ	λ	PROPN
esrj-100754	67	101	ii	ii	NOUN
esrj-100754	67	102	=	=	PROPN
esrj-100754	67	103	tan	tan	PROPN
esrj-100754	67	104	2cos	2cos	PROPN
esrj-100754	67	105	1	1	NUM
esrj-100754	67	106	−	−	NOUN
esrj-100754	67	107	sin	sin	NOUN
esrj-100754	67	108	1cosδ	1cosδ	NUM
esrj-100754	67	109	iii	iii	SYM
esrj-100754	67	110	=	=	ADJ
esrj-100754	67	111	tan	tan	ADJ
esrj-100754	67	112	1cos	1cos	NUM
esrj-100754	67	113	2	2	NUM
esrj-100754	67	114	−	−	NOUN
esrj-100754	67	115	sin	sin	NOUN
esrj-100754	67	116	2cosδ	2cosδ	NUM
esrj-100754	67	117	a	a	DET
esrj-100754	67	118	12	12	NUM
esrj-100754	67	119	=	=	SYM
esrj-100754	67	120	2.arctan	2.arctan	NUM
esrj-100754	67	121	(	(	PUNCT
esrj-100754	67	122	−√	−√	NOUN
esrj-100754	67	123	2	2	NUM
esrj-100754	67	124	+	+	NUM
esrj-100754	67	125	2	2	NUM
esrj-100754	67	126	)	)	PUNCT
esrj-100754	67	127	+	+	CCONJ
esrj-100754	67	128	180	180	NUM
esrj-100754	67	129	a	a	DET
esrj-100754	67	130	21	21	NUM
esrj-100754	67	131	=	=	SYM
esrj-100754	67	132	2.arctan	2.arctan	NUM
esrj-100754	67	133	(	(	PUNCT
esrj-100754	67	134	−	−	PROPN
esrj-100754	67	135	+	+	ADJ
esrj-100754	67	136	√	√	PROPN
esrj-100754	67	137	2	2	NUM
esrj-100754	67	138	+	+	NUM
esrj-100754	67	139	2	2	NUM
esrj-100754	67	140	)	)	PUNCT
esrj-100754	67	141	+	+	CCONJ
esrj-100754	67	142	180	180	NUM
esrj-100754	67	143	(	(	PUNCT
esrj-100754	67	144	5	5	NUM
esrj-100754	67	145	)	)	PUNCT
esrj-100754	68	1	i	i	PRON
esrj-100754	68	2	=	=	NOUN
esrj-100754	68	3	sinδ	sinδ	NOUN
esrj-100754	68	4	λ	λ	PROPN
esrj-100754	68	5	ii	ii	NOUN
esrj-100754	68	6	=	=	PROPN
esrj-100754	68	7	tan	tan	PROPN
esrj-100754	68	8	2cos	2cos	PROPN
esrj-100754	68	9	1	1	NUM
esrj-100754	68	10	−	−	NOUN
esrj-100754	68	11	sin	sin	NOUN
esrj-100754	68	12	1cosδ	1cosδ	NUM
esrj-100754	68	13	iii	iii	SYM
esrj-100754	68	14	=	=	ADJ
esrj-100754	68	15	tan	tan	ADJ
esrj-100754	68	16	1cos	1cos	NUM
esrj-100754	68	17	2	2	NUM
esrj-100754	68	18	−	−	NOUN
esrj-100754	68	19	sin	sin	NOUN
esrj-100754	68	20	2cosδ	2cosδ	NUM
esrj-100754	68	21	a	a	DET
esrj-100754	68	22	12	12	NUM
esrj-100754	68	23	=	=	SYM
esrj-100754	68	24	2.arctan	2.arctan	NUM
esrj-100754	68	25	(	(	PUNCT
esrj-100754	68	26	−√	−√	NOUN
esrj-100754	68	27	2	2	NUM
esrj-100754	68	28	+	+	NUM
esrj-100754	68	29	2	2	NUM
esrj-100754	68	30	)	)	PUNCT
esrj-100754	68	31	+	+	CCONJ
esrj-100754	68	32	180	180	NUM
esrj-100754	68	33	a	a	DET
esrj-100754	68	34	21	21	NUM
esrj-100754	68	35	=	=	SYM
esrj-100754	68	36	2.arctan	2.arctan	NUM
esrj-100754	68	37	(	(	PUNCT
esrj-100754	68	38	−	−	PROPN
esrj-100754	68	39	+	+	ADJ
esrj-100754	68	40	√	√	PROPN
esrj-100754	68	41	2	2	NUM
esrj-100754	68	42	+	+	NUM
esrj-100754	68	43	2	2	NUM
esrj-100754	68	44	)	)	PUNCT
esrj-100754	68	45	+	+	NUM
esrj-100754	68	46	180	180	NUM
esrj-100754	68	47	(	(	PUNCT
esrj-100754	68	48	6	6	NUM
esrj-100754	68	49	)	)	PUNCT
esrj-100754	68	50	i	i	PRON
esrj-100754	68	51	=	=	NOUN
esrj-100754	68	52	sinδ	sinδ	NOUN
esrj-100754	68	53	λ	λ	PROPN
esrj-100754	68	54	ii	ii	NOUN
esrj-100754	68	55	=	=	PROPN
esrj-100754	68	56	tan	tan	PROPN
esrj-100754	68	57	2cos	2cos	PROPN
esrj-100754	68	58	1	1	NUM
esrj-100754	68	59	−	−	NOUN
esrj-100754	68	60	sin	sin	NOUN
esrj-100754	68	61	1cosδ	1cosδ	NUM
esrj-100754	68	62	iii	iii	SYM
esrj-100754	68	63	=	=	ADJ
esrj-100754	68	64	tan	tan	ADJ
esrj-100754	68	65	1cos	1cos	NUM
esrj-100754	68	66	2	2	NUM
esrj-100754	68	67	−	−	NOUN
esrj-100754	68	68	sin	sin	NOUN
esrj-100754	68	69	2cosδ	2cosδ	NUM
esrj-100754	68	70	a	a	DET
esrj-100754	68	71	12	12	NUM
esrj-100754	68	72	=	=	SYM
esrj-100754	68	73	2.arctan	2.arctan	NUM
esrj-100754	68	74	(	(	PUNCT
esrj-100754	68	75	−√	−√	NOUN
esrj-100754	68	76	2	2	NUM
esrj-100754	68	77	+	+	NUM
esrj-100754	68	78	2	2	NUM
esrj-100754	68	79	)	)	PUNCT
esrj-100754	68	80	+	+	CCONJ
esrj-100754	68	81	180	180	NUM
esrj-100754	68	82	a	a	DET
esrj-100754	68	83	21	21	NUM
esrj-100754	68	84	=	=	SYM
esrj-100754	68	85	2.arctan	2.arctan	NUM
esrj-100754	68	86	(	(	PUNCT
esrj-100754	68	87	−	−	PROPN
esrj-100754	68	88	+	+	ADJ
esrj-100754	68	89	√	√	PROPN
esrj-100754	68	90	2	2	NUM
esrj-100754	68	91	+	+	NUM
esrj-100754	68	92	2	2	NUM
esrj-100754	68	93	)	)	PUNCT
esrj-100754	68	94	+	+	CCONJ
esrj-100754	68	95	180	180	NUM
esrj-100754	68	96	(	(	PUNCT
esrj-100754	68	97	7	7	NUM
esrj-100754	68	98	)	)	PUNCT
esrj-100754	68	99	the	the	DET
esrj-100754	68	100	given	give	VERB
esrj-100754	68	101	formulas	formula	NOUN
esrj-100754	68	102	in	in	ADP
esrj-100754	68	103	equations	equation	NOUN
esrj-100754	68	104	6	6	NUM
esrj-100754	68	105	and	and	CCONJ
esrj-100754	68	106	7	7	NUM
esrj-100754	68	107	do	do	AUX
esrj-100754	68	108	not	not	PART
esrj-100754	68	109	work	work	VERB
esrj-100754	68	110	if	if	SCONJ
esrj-100754	68	111	the	the	DET
esrj-100754	68	112	denominator	denominator	NOUN
esrj-100754	68	113	equals	equal	VERB
esrj-100754	68	114	zero	zero	NUM
esrj-100754	68	115	.	.	PUNCT
esrj-100754	69	1	the	the	DET
esrj-100754	69	2	program	program	NOUN
esrj-100754	69	3	will	will	AUX
esrj-100754	69	4	be	be	AUX
esrj-100754	69	5	interrupted	interrupt	VERB
esrj-100754	69	6	because	because	SCONJ
esrj-100754	69	7	division	division	NOUN
esrj-100754	69	8	by	by	ADP
esrj-100754	69	9	zero	zero	NUM
esrj-100754	69	10	is	be	AUX
esrj-100754	69	11	done	do	VERB
esrj-100754	69	12	.	.	PUNCT
esrj-100754	70	1	this	this	DET
esrj-100754	70	2	problem	problem	NOUN
esrj-100754	70	3	also	also	ADV
esrj-100754	70	4	arises	arise	VERB
esrj-100754	70	5	in	in	ADP
esrj-100754	70	6	the	the	DET
esrj-100754	70	7	use	use	NOUN
esrj-100754	70	8	of	of	ADP
esrj-100754	70	9	classical	classical	ADJ
esrj-100754	70	10	formulas	formula	NOUN
esrj-100754	70	11	.	.	PUNCT
esrj-100754	71	1	in	in	ADP
esrj-100754	71	2	order	order	NOUN
esrj-100754	71	3	not	not	PART
esrj-100754	71	4	to	to	PART
esrj-100754	71	5	interrupt	interrupt	VERB
esrj-100754	71	6	the	the	DET
esrj-100754	71	7	program	program	NOUN
esrj-100754	71	8	,	,	PUNCT
esrj-100754	71	9	very	very	ADV
esrj-100754	71	10	small	small	ADJ
esrj-100754	71	11	numbers	number	NOUN
esrj-100754	71	12	are	be	AUX
esrj-100754	71	13	added	add	VERB
esrj-100754	71	14	to	to	ADP
esrj-100754	71	15	the	the	DET
esrj-100754	71	16	numerator	numerator	NOUN
esrj-100754	71	17	and	and	CCONJ
esrj-100754	71	18	denominator	denominator	NOUN
esrj-100754	71	19	at	at	ADP
esrj-100754	71	20	a	a	DET
esrj-100754	71	21	rate	rate	NOUN
esrj-100754	71	22	that	that	PRON
esrj-100754	71	23	will	will	AUX
esrj-100754	71	24	not	not	PART
esrj-100754	71	25	affect	affect	VERB
esrj-100754	71	26	the	the	DET
esrj-100754	71	27	result	result	NOUN
esrj-100754	71	28	.	.	PUNCT
esrj-100754	72	1	if	if	SCONJ
esrj-100754	72	2	μ1=1e	μ1=1e	PROPN
esrj-100754	72	3	–	–	PUNCT
esrj-100754	72	4	15	15	NUM
esrj-100754	72	5	,	,	PUNCT
esrj-100754	72	6	...	...	PUNCT
esrj-100754	72	7	μ2	μ2	NOUN
esrj-100754	72	8	=	=	NUM
esrj-100754	72	9	1e	1e	NUM
esrj-100754	72	10	–	–	PUNCT
esrj-100754	72	11	27	27	NUM
esrj-100754	72	12	,	,	PUNCT
esrj-100754	72	13	...	...	PUNCT
esrj-100754	72	14	are	be	AUX
esrj-100754	72	15	selected	select	VERB
esrj-100754	72	16	,	,	PUNCT
esrj-100754	72	17	ten	ten	NUM
esrj-100754	72	18	digit	digit	NOUN
esrj-100754	72	19	sensitive	sensitive	ADJ
esrj-100754	72	20	bearing	bearing	NOUN
esrj-100754	72	21	angle	angle	NOUN
esrj-100754	72	22	values	value	NOUN
esrj-100754	72	23	are	be	AUX
esrj-100754	72	24	obtained	obtain	VERB
esrj-100754	72	25	(	(	PUNCT
esrj-100754	72	26	hekimoğlu	hekimoğlu	NOUN
esrj-100754	72	27	,	,	PUNCT
esrj-100754	72	28	1991	1991	NUM
esrj-100754	72	29	)	)	PUNCT
esrj-100754	72	30	.	.	PUNCT
esrj-100754	73	1	the	the	DET
esrj-100754	73	2	division	division	NOUN
esrj-100754	73	3	by	by	ADP
esrj-100754	73	4	zero	zero	NUM
esrj-100754	73	5	error	error	NOUN
esrj-100754	73	6	will	will	AUX
esrj-100754	73	7	be	be	AUX
esrj-100754	73	8	avoided	avoid	VERB
esrj-100754	73	9	if	if	SCONJ
esrj-100754	73	10	the	the	DET
esrj-100754	73	11	following	follow	VERB
esrj-100754	73	12	formulas	formula	NOUN
esrj-100754	73	13	(	(	PUNCT
esrj-100754	73	14	eq	eq	NOUN
esrj-100754	73	15	.	.	NOUN
esrj-100754	73	16	8	8	NUM
esrj-100754	73	17	and	and	CCONJ
esrj-100754	73	18	eq	eq	NOUN
esrj-100754	73	19	.	.	NOUN
esrj-100754	73	20	9	9	NUM
esrj-100754	73	21	)	)	PUNCT
esrj-100754	73	22	are	be	AUX
esrj-100754	73	23	used	use	VERB
esrj-100754	73	24	.	.	PUNCT
esrj-100754	74	1	a12	a12	NOUN
esrj-100754	74	2	=	=	SYM
esrj-100754	74	3	2.arctan	2.arctan	PROPN
esrj-100754	74	4	(	(	PUNCT
esrj-100754	74	5	+	+	ADV
esrj-100754	74	6	µ1	µ1	ADJ
esrj-100754	74	7	µ2	µ2	ADJ
esrj-100754	74	8	+	+	CCONJ
esrj-100754	74	9	−√	−√	NUM
esrj-100754	74	10	2	2	NUM
esrj-100754	74	11	+	+	NUM
esrj-100754	74	12	2	2	NUM
esrj-100754	74	13	)	)	PUNCT
esrj-100754	74	14	+	+	NUM
esrj-100754	74	15	180	180	NUM
esrj-100754	74	16	a21	a21	NOUN
esrj-100754	74	17	=	=	SYM
esrj-100754	74	18	2.arctan	2.arctan	PROPN
esrj-100754	74	19	(	(	PUNCT
esrj-100754	74	20	+	+	ADP
esrj-100754	74	21	µ1	µ1	PROPN
esrj-100754	74	22	µ2−	µ2−	NOUN
esrj-100754	74	23	+	+	NOUN
esrj-100754	74	24	√	√	PROPN
esrj-100754	74	25	2	2	NUM
esrj-100754	74	26	+	+	NUM
esrj-100754	74	27	2	2	NUM
esrj-100754	74	28	)	)	PUNCT
esrj-100754	74	29	+	+	NUM
esrj-100754	74	30	180	180	NUM
esrj-100754	74	31	(	(	PUNCT
esrj-100754	74	32	8)	8)	NUM
esrj-100754	74	33	a12	a12	NOUN
esrj-100754	74	34	=	=	SYM
esrj-100754	74	35	2.arctan	2.arctan	PROPN
esrj-100754	74	36	(	(	PUNCT
esrj-100754	74	37	+	+	ADV
esrj-100754	74	38	µ1	µ1	ADJ
esrj-100754	74	39	µ2	µ2	ADJ
esrj-100754	74	40	+	+	CCONJ
esrj-100754	74	41	−√	−√	NUM
esrj-100754	75	1	2	2	NUM
esrj-100754	75	2	+	+	NUM
esrj-100754	75	3	2	2	NUM
esrj-100754	75	4	)	)	PUNCT
esrj-100754	75	5	+	+	NUM
esrj-100754	75	6	180	180	NUM
esrj-100754	75	7	a21	a21	NOUN
esrj-100754	75	8	=	=	SYM
esrj-100754	75	9	2.arctan	2.arctan	PROPN
esrj-100754	75	10	(	(	PUNCT
esrj-100754	75	11	+	+	ADP
esrj-100754	75	12	µ1	µ1	PROPN
esrj-100754	75	13	µ2−	µ2−	NOUN
esrj-100754	75	14	+	+	NOUN
esrj-100754	75	15	√	√	PROPN
esrj-100754	75	16	2	2	NUM
esrj-100754	75	17	+	+	NUM
esrj-100754	75	18	2	2	NUM
esrj-100754	75	19	)	)	PUNCT
esrj-100754	75	20	+	+	CCONJ
esrj-100754	75	21	180	180	NUM
esrj-100754	75	22	(	(	PUNCT
esrj-100754	75	23	9	9	NUM
esrj-100754	75	24	)	)	PUNCT
esrj-100754	75	25	207rigorous	207rigorous	PROPN
esrj-100754	75	26	spherical	spherical	ADJ
esrj-100754	75	27	bearing	bearing	NOUN
esrj-100754	75	28	with	with	ADP
esrj-100754	75	29	soldner	soldner	NOUN
esrj-100754	75	30	coordinates	coordinate	NOUN
esrj-100754	75	31	and	and	CCONJ
esrj-100754	75	32	azimuth	azimuth	NOUN
esrj-100754	75	33	angles	angle	NOUN
esrj-100754	75	34	on	on	ADP
esrj-100754	75	35	sphere	sphere	NOUN
esrj-100754	75	36	3	3	NUM
esrj-100754	75	37	.	.	X
esrj-100754	75	38	direct	direct	ADJ
esrj-100754	75	39	bearing	bearing	NOUN
esrj-100754	75	40	angles	angle	NOUN
esrj-100754	75	41	with	with	ADP
esrj-100754	75	42	soldner	soldner	NOUN
esrj-100754	75	43	coordinates	coordinate	NOUN
esrj-100754	75	44	in	in	ADP
esrj-100754	75	45	meridian	meridian	PROPN
esrj-100754	75	46	system	system	NOUN
esrj-100754	75	47	on	on	ADP
esrj-100754	75	48	sphere	sphere	ADV
esrj-100754	75	49	this	this	DET
esrj-100754	75	50	meridian	meridian	ADJ
esrj-100754	75	51	system	system	NOUN
esrj-100754	75	52	,	,	PUNCT
esrj-100754	75	53	as	as	SCONJ
esrj-100754	75	54	the	the	DET
esrj-100754	75	55	name	name	NOUN
esrj-100754	75	56	suggests	suggest	VERB
esrj-100754	75	57	,	,	PUNCT
esrj-100754	75	58	is	be	AUX
esrj-100754	75	59	based	base	VERB
esrj-100754	75	60	on	on	ADP
esrj-100754	75	61	the	the	DET
esrj-100754	75	62	meridian	meridian	PROPN
esrj-100754	75	63	.	.	PUNCT
esrj-100754	76	1	the	the	DET
esrj-100754	76	2	meridian	meridian	PROPN
esrj-100754	76	3	that	that	PRON
esrj-100754	76	4	defines	define	VERB
esrj-100754	76	5	the	the	DET
esrj-100754	76	6	system	system	NOUN
esrj-100754	76	7	is	be	AUX
esrj-100754	76	8	called	call	VERB
esrj-100754	76	9	the	the	DET
esrj-100754	76	10	prime	prime	PROPN
esrj-100754	76	11	meridian	meridian	PROPN
esrj-100754	76	12	,	,	PUNCT
esrj-100754	76	13	and	and	CCONJ
esrj-100754	76	14	a	a	DET
esrj-100754	76	15	meridian	meridian	NOUN
esrj-100754	76	16	near	near	ADP
esrj-100754	76	17	the	the	DET
esrj-100754	76	18	study	study	NOUN
esrj-100754	76	19	area	area	NOUN
esrj-100754	76	20	is	be	AUX
esrj-100754	76	21	taken	take	VERB
esrj-100754	76	22	as	as	SCONJ
esrj-100754	76	23	the	the	DET
esrj-100754	76	24	prime	prime	PROPN
esrj-100754	76	25	meridian	meridian	PROPN
esrj-100754	76	26	(	(	PUNCT
esrj-100754	76	27	heck	heck	INTJ
esrj-100754	76	28	,	,	PUNCT
esrj-100754	76	29	2003).osoldner	2003).osoldner	NUM
esrj-100754	76	30	coordinates	coordinate	NOUN
esrj-100754	76	31	system	system	NOUN
esrj-100754	76	32	,	,	PUNCT
esrj-100754	76	33	have	have	AUX
esrj-100754	76	34	found	find	VERB
esrj-100754	76	35	wide	wide	ADJ
esrj-100754	76	36	application	application	NOUN
esrj-100754	76	37	in	in	ADP
esrj-100754	76	38	geodesy	geodesy	PROPN
esrj-100754	76	39	.	.	PUNCT
esrj-100754	77	1	in	in	ADP
esrj-100754	77	2	particular	particular	ADJ
esrj-100754	77	3	,	,	PUNCT
esrj-100754	77	4	the	the	DET
esrj-100754	77	5	soldner	soldner	NOUN
esrj-100754	77	6	coordinates	coordinate	NOUN
esrj-100754	77	7	system	system	NOUN
esrj-100754	77	8	constitutes	constitute	VERB
esrj-100754	77	9	a	a	DET
esrj-100754	77	10	suitable	suitable	ADJ
esrj-100754	77	11	base	base	NOUN
esrj-100754	77	12	for	for	ADP
esrj-100754	77	13	projection	projection	NOUN
esrj-100754	77	14	of	of	ADP
esrj-100754	77	15	the	the	DET
esrj-100754	77	16	ellipsoid	ellipsoid	NOUN
esrj-100754	77	17	and	and	CCONJ
esrj-100754	77	18	the	the	DET
esrj-100754	77	19	sphere	sphere	NOUN
esrj-100754	77	20	.	.	PUNCT
esrj-100754	78	1	soldner	soldner	PROPN
esrj-100754	78	2	coordinates	coordinate	NOUN
esrj-100754	78	3	can	can	AUX
esrj-100754	78	4	be	be	AUX
esrj-100754	78	5	used	use	VERB
esrj-100754	78	6	in	in	ADP
esrj-100754	78	7	cassini	cassini	ADJ
esrj-100754	78	8	-	-	PUNCT
esrj-100754	78	9	soldner	soldner	NOUN
esrj-100754	78	10	projection	projection	NOUN
esrj-100754	78	11	without	without	ADP
esrj-100754	78	12	any	any	DET
esrj-100754	78	13	processing	processing	NOUN
esrj-100754	78	14	.	.	PUNCT
esrj-100754	79	1	in	in	ADP
esrj-100754	79	2	this	this	DET
esrj-100754	79	3	system	system	NOUN
esrj-100754	79	4	,	,	PUNCT
esrj-100754	79	5	the	the	DET
esrj-100754	79	6	x	x	NOUN
esrj-100754	79	7	-	-	NOUN
esrj-100754	79	8	axis	axis	NOUN
esrj-100754	79	9	is	be	AUX
esrj-100754	79	10	the	the	DET
esrj-100754	79	11	selected	select	VERB
esrj-100754	79	12	prime	prime	ADJ
esrj-100754	79	13	meridian	meridian	NOUN
esrj-100754	79	14	(	(	PUNCT
esrj-100754	79	15	figure	figure	NOUN
esrj-100754	79	16	2	2	NUM
esrj-100754	79	17	)	)	PUNCT
esrj-100754	79	18	.	.	PUNCT
esrj-100754	80	1	the	the	DET
esrj-100754	80	2	coordinates	coordinate	NOUN
esrj-100754	80	3	of	of	ADP
esrj-100754	80	4	a	a	DET
esrj-100754	80	5	point	point	NOUN
esrj-100754	80	6	p1	p1	NOUN
esrj-100754	80	7	on	on	ADP
esrj-100754	80	8	the	the	DET
esrj-100754	80	9	sphere	sphere	NOUN
esrj-100754	80	10	in	in	ADP
esrj-100754	80	11	the	the	DET
esrj-100754	80	12	meridian	meridian	PROPN
esrj-100754	80	13	system	system	NOUN
esrj-100754	80	14	are	be	AUX
esrj-100754	80	15	defined	define	VERB
esrj-100754	80	16	as	as	SCONJ
esrj-100754	80	17	follows	follow	VERB
esrj-100754	80	18	.	.	PUNCT
esrj-100754	81	1	the	the	DET
esrj-100754	81	2	spherical	spherical	ADJ
esrj-100754	81	3	distance	distance	NOUN
esrj-100754	81	4	(	(	PUNCT
esrj-100754	81	5	arcs	arc	NOUN
esrj-100754	81	6	of	of	ADP
esrj-100754	81	7	a	a	DET
esrj-100754	81	8	great	great	ADJ
esrj-100754	81	9	circle	circle	NOUN
esrj-100754	81	10	)	)	PUNCT
esrj-100754	81	11	from	from	ADP
esrj-100754	81	12	the	the	DET
esrj-100754	81	13	p1	p1	PROPN
esrj-100754	81	14	point	point	NOUN
esrj-100754	81	15	to	to	ADP
esrj-100754	81	16	the	the	DET
esrj-100754	81	17	prime	prime	ADJ
esrj-100754	81	18	meridian	meridian	PROPN
esrj-100754	81	19	(	(	PUNCT
esrj-100754	81	20	p1f1	p1f1	NOUN
esrj-100754	81	21	)	)	PUNCT
esrj-100754	81	22	is	be	AUX
esrj-100754	81	23	the	the	DET
esrj-100754	81	24	y	y	PROPN
esrj-100754	81	25	value	value	NOUN
esrj-100754	81	26	of	of	ADP
esrj-100754	81	27	the	the	DET
esrj-100754	81	28	p1	p1	PROPN
esrj-100754	81	29	point	point	NOUN
esrj-100754	81	30	(	(	PUNCT
esrj-100754	81	31	y1	y1	NOUN
esrj-100754	81	32	=	=	SYM
esrj-100754	81	33	p1f1	p1f1	NOUN
esrj-100754	81	34	)	)	PUNCT
esrj-100754	81	35	.	.	PUNCT
esrj-100754	82	1	the	the	DET
esrj-100754	82	2	distance	distance	NOUN
esrj-100754	82	3	of	of	ADP
esrj-100754	82	4	the	the	DET
esrj-100754	82	5	perpendicular	perpendicular	ADJ
esrj-100754	82	6	point	point	NOUN
esrj-100754	82	7	f1	f1	NOUN
esrj-100754	82	8	to	to	ADP
esrj-100754	82	9	the	the	DET
esrj-100754	82	10	starting	starting	NOUN
esrj-100754	82	11	point	point	NOUN
esrj-100754	82	12	po	po	NOUN
esrj-100754	82	13	on	on	ADP
esrj-100754	82	14	the	the	DET
esrj-100754	82	15	prime	prime	PROPN
esrj-100754	82	16	meridian	meridian	PROPN
esrj-100754	82	17	also	also	ADV
esrj-100754	82	18	gives	give	VERB
esrj-100754	82	19	the	the	DET
esrj-100754	82	20	x	x	NOUN
esrj-100754	82	21	coordinate	coordinate	NOUN
esrj-100754	82	22	(	(	PUNCT
esrj-100754	82	23	x1	x1	PROPN
esrj-100754	82	24	=	=	SYM
esrj-100754	82	25	pof1	pof1	PROPN
esrj-100754	82	26	)	)	PUNCT
esrj-100754	82	27	.	.	PUNCT
esrj-100754	83	1	the	the	DET
esrj-100754	83	2	starting	starting	NOUN
esrj-100754	83	3	point	point	NOUN
esrj-100754	83	4	of	of	ADP
esrj-100754	83	5	po	po	NOUN
esrj-100754	83	6	can	can	AUX
esrj-100754	83	7	also	also	ADV
esrj-100754	83	8	be	be	AUX
esrj-100754	83	9	taken	take	VERB
esrj-100754	83	10	on	on	ADP
esrj-100754	83	11	the	the	DET
esrj-100754	83	12	equator	equator	NOUN
esrj-100754	83	13	.	.	PUNCT
esrj-100754	84	1	figure	figure	NOUN
esrj-100754	84	2	2	2	NUM
esrj-100754	84	3	.	.	PUNCT
esrj-100754	84	4	meridian	meridian	ADJ
esrj-100754	84	5	system	system	NOUN
esrj-100754	84	6	and	and	CCONJ
esrj-100754	84	7	soldner	soldner	NOUN
esrj-100754	84	8	coordinates	coordinate	NOUN
esrj-100754	84	9	(	(	PUNCT
esrj-100754	84	10	bektas	bekta	NOUN
esrj-100754	84	11	,	,	PUNCT
esrj-100754	84	12	2021	2021	NUM
esrj-100754	84	13	)	)	PUNCT
esrj-100754	84	14	these	these	DET
esrj-100754	84	15	sides	side	NOUN
esrj-100754	84	16	used	use	VERB
esrj-100754	84	17	in	in	ADP
esrj-100754	84	18	the	the	DET
esrj-100754	84	19	calculations	calculation	NOUN
esrj-100754	84	20	on	on	ADP
esrj-100754	84	21	the	the	DET
esrj-100754	84	22	sphere	sphere	NOUN
esrj-100754	84	23	s	s	NOUN
esrj-100754	84	24	,	,	PUNCT
esrj-100754	84	25	y1	y1	PROPN
esrj-100754	84	26	,	,	PUNCT
esrj-100754	84	27	x1	x1	PROPN
esrj-100754	84	28	,	,	PUNCT
esrj-100754	84	29	y2	y2	PROPN
esrj-100754	84	30	,	,	PUNCT
esrj-100754	84	31	x2	x2	PROPN
esrj-100754	84	32	in	in	ADP
esrj-100754	84	33	figure	figure	NOUN
esrj-100754	84	34	2	2	NUM
esrj-100754	84	35	must	must	AUX
esrj-100754	84	36	be	be	AUX
esrj-100754	84	37	arcs	arc	NOUN
esrj-100754	84	38	of	of	ADP
esrj-100754	84	39	a	a	DET
esrj-100754	84	40	great	great	ADJ
esrj-100754	84	41	circle	circle	NOUN
esrj-100754	84	42	.	.	PUNCT
esrj-100754	85	1	point	point	NOUN
esrj-100754	85	2	o	o	NOUN
esrj-100754	85	3	in	in	ADP
esrj-100754	85	4	figure	figure	NOUN
esrj-100754	85	5	2	2	NUM
esrj-100754	85	6	becomes	become	VERB
esrj-100754	85	7	the	the	DET
esrj-100754	85	8	pole	pole	NOUN
esrj-100754	85	9	of	of	ADP
esrj-100754	85	10	the	the	DET
esrj-100754	85	11	prime	prime	PROPN
esrj-100754	85	12	meridian	meridian	PROPN
esrj-100754	85	13	circle	circle	PROPN
esrj-100754	85	14	.	.	PUNCT
esrj-100754	86	1	so	so	ADV
esrj-100754	86	2	it	it	PRON
esrj-100754	86	3	is	be	AUX
esrj-100754	86	4	always	always	ADV
esrj-100754	86	5	of1=	of1=	PROPN
esrj-100754	86	6	of2	of2	PROPN
esrj-100754	86	7	=	=	SYM
esrj-100754	86	8	opo	opo	PROPN
esrj-100754	86	9	=	=	PUNCT
esrj-100754	86	10	π/2	π/2	PROPN
esrj-100754	86	11	.	.	PUNCT
esrj-100754	87	1	in	in	ADP
esrj-100754	87	2	the	the	DET
esrj-100754	87	3	soldner	soldner	NOUN
esrj-100754	87	4	coordinate	coordinate	NOUN
esrj-100754	87	5	system	system	NOUN
esrj-100754	87	6	,	,	PUNCT
esrj-100754	87	7	the	the	DET
esrj-100754	87	8	reference	reference	NOUN
esrj-100754	87	9	direction	direction	NOUN
esrj-100754	87	10	of	of	ADP
esrj-100754	87	11	the	the	DET
esrj-100754	87	12	bearing	bearing	NOUN
esrj-100754	87	13	angles	angle	NOUN
esrj-100754	87	14	of	of	ADP
esrj-100754	87	15	the	the	DET
esrj-100754	87	16	sides	side	NOUN
esrj-100754	87	17	is	be	AUX
esrj-100754	87	18	the	the	DET
esrj-100754	87	19	parallel	parallel	ADJ
esrj-100754	87	20	y	y	NOUN
esrj-100754	87	21	=	=	ADJ
esrj-100754	87	22	constant	constant	ADJ
esrj-100754	87	23	circle	circle	NOUN
esrj-100754	87	24	drawn	draw	VERB
esrj-100754	87	25	to	to	ADP
esrj-100754	87	26	the	the	DET
esrj-100754	87	27	prime	prime	ADJ
esrj-100754	87	28	meridian	meridian	NOUN
esrj-100754	87	29	at	at	ADP
esrj-100754	87	30	that	that	DET
esrj-100754	87	31	point	point	NOUN
esrj-100754	87	32	(	(	PUNCT
esrj-100754	87	33	figure-2	figure-2	NUM
esrj-100754	87	34	)	)	PUNCT
esrj-100754	87	35	.	.	PUNCT
esrj-100754	88	1	the	the	DET
esrj-100754	88	2	prime	prime	PROPN
esrj-100754	88	3	meridian	meridian	PROPN
esrj-100754	88	4	determines	determine	VERB
esrj-100754	88	5	the	the	DET
esrj-100754	88	6	soldner	soldner	NOUN
esrj-100754	88	7	system	system	NOUN
esrj-100754	88	8	.	.	PUNCT
esrj-100754	89	1	each	each	DET
esrj-100754	89	2	meridian	meridian	PROPN
esrj-100754	89	3	system	system	NOUN
esrj-100754	89	4	creates	create	VERB
esrj-100754	89	5	a	a	DET
esrj-100754	89	6	separate	separate	ADJ
esrj-100754	89	7	coordinate	coordinate	NOUN
esrj-100754	89	8	system	system	NOUN
esrj-100754	89	9	.	.	PUNCT
esrj-100754	90	1	the	the	DET
esrj-100754	90	2	ordinates	ordinate	NOUN
esrj-100754	90	3	of	of	ADP
esrj-100754	90	4	the	the	DET
esrj-100754	90	5	points	point	NOUN
esrj-100754	90	6	(	(	PUNCT
esrj-100754	90	7	y	y	NOUN
esrj-100754	90	8	)	)	PUNCT
esrj-100754	90	9	to	to	ADP
esrj-100754	90	10	the	the	DET
esrj-100754	90	11	left	left	NOUN
esrj-100754	90	12	of	of	ADP
esrj-100754	90	13	the	the	DET
esrj-100754	90	14	prime	prime	PROPN
esrj-100754	90	15	meridian	meridian	PROPN
esrj-100754	90	16	are	be	AUX
esrj-100754	90	17	negative	negative	ADJ
esrj-100754	90	18	.	.	PUNCT
esrj-100754	91	1	likewise	likewise	ADV
esrj-100754	91	2	,	,	PUNCT
esrj-100754	91	3	the	the	DET
esrj-100754	91	4	abscissas	abscissa	NOUN
esrj-100754	91	5	of	of	ADP
esrj-100754	91	6	points	point	NOUN
esrj-100754	91	7	(	(	PUNCT
esrj-100754	91	8	x	x	NOUN
esrj-100754	91	9	)	)	PUNCT
esrj-100754	91	10	below	below	ADP
esrj-100754	91	11	the	the	DET
esrj-100754	91	12	starting	starting	NOUN
esrj-100754	91	13	point	point	NOUN
esrj-100754	91	14	take	take	VERB
esrj-100754	91	15	negative	negative	ADJ
esrj-100754	91	16	values	value	NOUN
esrj-100754	91	17	.	.	PUNCT
esrj-100754	92	1	the	the	DET
esrj-100754	92	2	azimuth	azimuth	PROPN
esrj-100754	92	3	angle	angle	NOUN
esrj-100754	92	4	is	be	AUX
esrj-100754	92	5	used	use	VERB
esrj-100754	92	6	for	for	ADP
esrj-100754	92	7	the	the	DET
esrj-100754	92	8	direction	direction	NOUN
esrj-100754	92	9	values	value	NOUN
esrj-100754	92	10	of	of	ADP
esrj-100754	92	11	the	the	DET
esrj-100754	92	12	sides	side	NOUN
esrj-100754	92	13	in	in	ADP
esrj-100754	92	14	main	main	ADJ
esrj-100754	92	15	problem	problem	NOUN
esrj-100754	92	16	solutions	solution	NOUN
esrj-100754	92	17	with	with	ADP
esrj-100754	92	18	geographical	geographical	ADJ
esrj-100754	92	19	coordinates	coordinate	NOUN
esrj-100754	92	20	.	.	PUNCT
esrj-100754	93	1	the	the	DET
esrj-100754	93	2	azimuth	azimuth	PROPN
esrj-100754	93	3	angle	angle	NOUN
esrj-100754	93	4	(	(	PUNCT
esrj-100754	93	5	a12	a12	NOUN
esrj-100754	93	6	,	,	PUNCT
esrj-100754	93	7	a21	a21	PROPN
esrj-100754	93	8	)	)	PUNCT
esrj-100754	93	9	is	be	AUX
esrj-100754	93	10	the	the	DET
esrj-100754	93	11	angle	angle	NOUN
esrj-100754	93	12	from	from	ADP
esrj-100754	93	13	the	the	DET
esrj-100754	93	14	north	north	NOUN
esrj-100754	93	15	wing	wing	NOUN
esrj-100754	93	16	of	of	ADP
esrj-100754	93	17	the	the	DET
esrj-100754	93	18	meridian	meridian	NOUN
esrj-100754	93	19	at	at	ADP
esrj-100754	93	20	a	a	DET
esrj-100754	93	21	point	point	NOUN
esrj-100754	93	22	to	to	ADP
esrj-100754	93	23	the	the	DET
esrj-100754	93	24	clockwise	clockwise	NOUN
esrj-100754	93	25	side	side	NOUN
esrj-100754	93	26	(	(	PUNCT
esrj-100754	93	27	fig	fig	NOUN
esrj-100754	93	28	.	.	PUNCT
esrj-100754	93	29	2	2	NUM
esrj-100754	93	30	)	)	PUNCT
esrj-100754	93	31	.	.	PUNCT
esrj-100754	94	1	the	the	DET
esrj-100754	94	2	bearing	bearing	NOUN
esrj-100754	94	3	angle	angle	NOUN
esrj-100754	94	4	is	be	AUX
esrj-100754	94	5	used	use	VERB
esrj-100754	94	6	for	for	ADP
esrj-100754	94	7	the	the	DET
esrj-100754	94	8	direction	direction	NOUN
esrj-100754	94	9	values	value	NOUN
esrj-100754	94	10	of	of	ADP
esrj-100754	94	11	the	the	DET
esrj-100754	94	12	sides	side	NOUN
esrj-100754	94	13	in	in	ADP
esrj-100754	94	14	main	main	ADJ
esrj-100754	94	15	problem	problem	NOUN
esrj-100754	94	16	solutions	solution	NOUN
esrj-100754	94	17	with	with	ADP
esrj-100754	94	18	soldner	soldner	PROPN
esrj-100754	94	19	coordinates	coordinates	PROPN
esrj-100754	94	20	meridian	meridian	PROPN
esrj-100754	94	21	system	system	PROPN
esrj-100754	94	22	.	.	PUNCT
esrj-100754	95	1	the	the	DET
esrj-100754	95	2	bearing	bear	VERB
esrj-100754	95	3	angle	angle	NOUN
esrj-100754	95	4	(	(	PUNCT
esrj-100754	95	5	α12	α12	PROPN
esrj-100754	95	6	,	,	PUNCT
esrj-100754	95	7	α21	α21	NUM
esrj-100754	95	8	)	)	PUNCT
esrj-100754	95	9	is	be	AUX
esrj-100754	95	10	from	from	ADP
esrj-100754	95	11	the	the	DET
esrj-100754	95	12	north	north	NOUN
esrj-100754	95	13	wing	wing	NOUN
esrj-100754	95	14	of	of	ADP
esrj-100754	95	15	the	the	DET
esrj-100754	95	16	parallel	parallel	NOUN
esrj-100754	95	17	to	to	ADP
esrj-100754	95	18	the	the	DET
esrj-100754	95	19	prime	prime	ADJ
esrj-100754	95	20	meridian	meridian	NOUN
esrj-100754	95	21	at	at	ADP
esrj-100754	95	22	a	a	DET
esrj-100754	95	23	point	point	NOUN
esrj-100754	95	24	to	to	ADP
esrj-100754	95	25	the	the	DET
esrj-100754	95	26	clockwise	clockwise	NOUN
esrj-100754	95	27	side	side	NOUN
esrj-100754	95	28	(	(	PUNCT
esrj-100754	95	29	fig	fig	NOUN
esrj-100754	95	30	.	.	PUNCT
esrj-100754	96	1	2	2	NUM
esrj-100754	96	2	)	)	PUNCT
esrj-100754	96	3	.	.	PUNCT
esrj-100754	97	1	figure	figure	VERB
esrj-100754	97	2	3	3	NUM
esrj-100754	97	3	.	.	PROPN
esrj-100754	97	4	azimuth	azimuth	PROPN
esrj-100754	97	5	angle	angle	PROPN
esrj-100754	97	6	,	,	PUNCT
esrj-100754	97	7	bearing	bearing	NOUN
esrj-100754	97	8	angle	angle	NOUN
esrj-100754	97	9	,	,	PUNCT
esrj-100754	97	10	meridian	meridian	ADJ
esrj-100754	97	11	convergence	convergence	NOUN
esrj-100754	97	12	(	(	PUNCT
esrj-100754	97	13	bektas	bekta	NOUN
esrj-100754	97	14	,	,	PUNCT
esrj-100754	97	15	2021	2021	NUM
esrj-100754	97	16	)	)	PUNCT
esrj-100754	97	17	there	there	PRON
esrj-100754	97	18	is	be	VERB
esrj-100754	97	19	a	a	DET
esrj-100754	97	20	meridian	meridian	ADJ
esrj-100754	97	21	convergence	convergence	NOUN
esrj-100754	97	22	(	(	PUNCT
esrj-100754	97	23	γ	γ	PROPN
esrj-100754	97	24	)	)	PUNCT
esrj-100754	97	25	between	between	ADP
esrj-100754	97	26	bearing	bearing	NOUN
esrj-100754	97	27	and	and	CCONJ
esrj-100754	97	28	azimuth	azimuth	NOUN
esrj-100754	97	29	angle	angle	NOUN
esrj-100754	97	30	(	(	PUNCT
esrj-100754	97	31	fig	fig	NOUN
esrj-100754	97	32	.	.	PUNCT
esrj-100754	98	1	3	3	NUM
esrj-100754	98	2	)	)	PUNCT
esrj-100754	98	3	.	.	PUNCT
esrj-100754	99	1	meridian	meridian	PROPN
esrj-100754	99	2	convergence	convergence	NOUN
esrj-100754	99	3	can	can	AUX
esrj-100754	99	4	be	be	AUX
esrj-100754	99	5	easily	easily	ADV
esrj-100754	99	6	calculated	calculate	VERB
esrj-100754	99	7	from	from	ADP
esrj-100754	99	8	the	the	DET
esrj-100754	99	9	geographic	geographic	ADJ
esrj-100754	99	10	or	or	CCONJ
esrj-100754	99	11	soldner	soldner	NOUN
esrj-100754	99	12	coordinates	coordinate	NOUN
esrj-100754	99	13	of	of	ADP
esrj-100754	99	14	the	the	DET
esrj-100754	99	15	point	point	NOUN
esrj-100754	99	16	.	.	PUNCT
esrj-100754	100	1	if	if	SCONJ
esrj-100754	100	2	the	the	DET
esrj-100754	100	3	bearing	bearing	NOUN
esrj-100754	100	4	angle	angle	NOUN
esrj-100754	100	5	(	(	PUNCT
esrj-100754	100	6	α	α	NOUN
esrj-100754	100	7	)	)	PUNCT
esrj-100754	100	8	is	be	AUX
esrj-100754	100	9	given	give	VERB
esrj-100754	100	10	,	,	PUNCT
esrj-100754	100	11	it	it	PRON
esrj-100754	100	12	is	be	AUX
esrj-100754	100	13	converted	convert	VERB
esrj-100754	100	14	to	to	ADP
esrj-100754	100	15	the	the	DET
esrj-100754	100	16	azimuth	azimuth	NOUN
esrj-100754	100	17	angle	angle	NOUN
esrj-100754	100	18	by	by	ADP
esrj-100754	100	19	using	use	VERB
esrj-100754	100	20	the	the	DET
esrj-100754	100	21	meridian	meridian	ADJ
esrj-100754	100	22	convergence	convergence	NOUN
esrj-100754	100	23	at	at	ADP
esrj-100754	100	24	that	that	DET
esrj-100754	100	25	point	point	NOUN
esrj-100754	101	1	a	a	PRON
esrj-100754	101	2	=	=	SYM
esrj-100754	101	3	α	α	NOUN
esrj-100754	101	4	+	+	X
esrj-100754	101	5	γ	γ	X
esrj-100754	101	6	(	(	PUNCT
esrj-100754	101	7	10	10	NUM
esrj-100754	101	8	)	)	PUNCT
esrj-100754	101	9	for	for	ADP
esrj-100754	101	10	example	example	NOUN
esrj-100754	101	11	,	,	PUNCT
esrj-100754	101	12	γ1	γ1	PROPN
esrj-100754	101	13	meridian	meridian	PROPN
esrj-100754	101	14	convergence	convergence	NOUN
esrj-100754	101	15	on	on	ADP
esrj-100754	101	16	the	the	DET
esrj-100754	101	17	p1	p1	PROPN
esrj-100754	101	18	point	point	NOUN
esrj-100754	101	19	tan	tan	PROPN
esrj-100754	101	20	γ1	γ1	PROPN
esrj-100754	101	21	=	=	SYM
esrj-100754	101	22	sin	sin	PROPN
esrj-100754	101	23	φ1	φ1	PROPN
esrj-100754	101	24	tan	tan	PROPN
esrj-100754	101	25	(	(	PUNCT
esrj-100754	101	26	λ1	λ1	PROPN
esrj-100754	101	27	-λprime	-λprime	PROPN
esrj-100754	101	28	)	)	PUNCT
esrj-100754	101	29	from	from	ADP
esrj-100754	101	30	geographic	geographic	ADJ
esrj-100754	101	31	coordinates	coordinate	NOUN
esrj-100754	101	32	(	(	PUNCT
esrj-100754	101	33	11	11	NUM
esrj-100754	101	34	)	)	PUNCT
esrj-100754	101	35	tan	tan	NOUN
esrj-100754	101	36	1	1	NUM
esrj-100754	101	37	=	=	SYM
esrj-100754	101	38	1	1	NUM
esrj-100754	101	39	1	1	NUM
esrj-100754	101	40	𝛾𝛾	𝛾𝛾	ADP
esrj-100754	101	41	from	from	ADP
esrj-100754	101	42	soldner	soldner	PROPN
esrj-100754	101	43	coordinates	coordinate	NOUN
esrj-100754	101	44	(	(	PUNCT
esrj-100754	101	45	12	12	NUM
esrj-100754	101	46	)	)	PUNCT
esrj-100754	101	47	reciprocal	reciprocal	ADJ
esrj-100754	101	48	angles	angle	NOUN
esrj-100754	101	49	between	between	ADP
esrj-100754	101	50	two	two	NUM
esrj-100754	101	51	points	point	NOUN
esrj-100754	101	52	whose	whose	DET
esrj-100754	101	53	coordinates	coordinate	NOUN
esrj-100754	101	54	are	be	AUX
esrj-100754	101	55	given	give	VERB
esrj-100754	101	56	in	in	ADP
esrj-100754	101	57	geodesy	geodesy	PROPN
esrj-100754	101	58	are	be	AUX
esrj-100754	101	59	obtained	obtain	VERB
esrj-100754	101	60	by	by	ADP
esrj-100754	101	61	solving	solve	VERB
esrj-100754	101	62	the	the	DET
esrj-100754	101	63	inverse	inverse	NOUN
esrj-100754	101	64	(	(	PUNCT
esrj-100754	101	65	second	second	ADJ
esrj-100754	101	66	)	)	PUNCT
esrj-100754	101	67	geodetic	geodetic	ADJ
esrj-100754	101	68	problem	problem	NOUN
esrj-100754	101	69	.	.	PUNCT
esrj-100754	102	1	classically	classically	ADV
esrj-100754	102	2	,	,	PUNCT
esrj-100754	102	3	the	the	DET
esrj-100754	102	4	reciprocal	reciprocal	ADJ
esrj-100754	102	5	bearing	bearing	NOUN
esrj-100754	102	6	angles	angle	NOUN
esrj-100754	102	7	(	(	PUNCT
esrj-100754	102	8	α12	α12	PROPN
esrj-100754	102	9	,	,	PUNCT
esrj-100754	102	10	α21	α21	NUM
esrj-100754	102	11	)	)	PUNCT
esrj-100754	102	12	from	from	ADP
esrj-100754	102	13	two	two	NUM
esrj-100754	102	14	points	point	NOUN
esrj-100754	102	15	whose	whose	DET
esrj-100754	102	16	soldner	soldner	NOUN
esrj-100754	102	17	coordinates	coordinate	VERB
esrj-100754	102	18	p1(y1	p1(y1	PROPN
esrj-100754	102	19	,	,	PUNCT
esrj-100754	102	20	x1	x1	PROPN
esrj-100754	102	21	)	)	PUNCT
esrj-100754	102	22	,	,	PUNCT
esrj-100754	102	23	p2(y2	p2(y2	NOUN
esrj-100754	102	24	,	,	PUNCT
esrj-100754	102	25	x2	x2	PROPN
esrj-100754	102	26	)	)	PUNCT
esrj-100754	102	27	are	be	AUX
esrj-100754	102	28	given	give	VERB
esrj-100754	102	29	obtained	obtain	VERB
esrj-100754	102	30	from	from	ADP
esrj-100754	102	31	the	the	DET
esrj-100754	102	32	following	follow	VERB
esrj-100754	102	33	formulas	formula	NOUN
esrj-100754	102	34	(	(	PUNCT
esrj-100754	102	35	fig	fig	NOUN
esrj-100754	102	36	.	.	PUNCT
esrj-100754	102	37	4	4	NUM
esrj-100754	102	38	)	)	PUNCT
esrj-100754	102	39	.	.	PUNCT
esrj-100754	103	1	solving	solve	VERB
esrj-100754	103	2	p1p2o	p1p2o	VERB
esrj-100754	103	3	spherical	spherical	ADJ
esrj-100754	103	4	triangle	triangle	NOUN
esrj-100754	103	5	figure	figure	NOUN
esrj-100754	103	6	4	4	NUM
esrj-100754	103	7	.	.	PUNCT
esrj-100754	103	8	inverse	inverse	ADJ
esrj-100754	103	9	geodetic	geodetic	ADJ
esrj-100754	103	10	problem	problem	NOUN
esrj-100754	103	11	in	in	ADP
esrj-100754	103	12	the	the	DET
esrj-100754	103	13	meridian	meridian	PROPN
esrj-100754	103	14	system	system	NOUN
esrj-100754	103	15	on	on	ADP
esrj-100754	103	16	the	the	DET
esrj-100754	103	17	sphere	sphere	NOUN
esrj-100754	103	18	(	(	PUNCT
esrj-100754	103	19	bektas	bekta	NOUN
esrj-100754	103	20	,	,	PUNCT
esrj-100754	103	21	2021	2021	NUM
esrj-100754	103	22	)	)	PUNCT
esrj-100754	103	23	dy	dy	NOUN
esrj-100754	103	24	=	=	SYM
esrj-100754	103	25	y2	y2	NOUN
esrj-100754	103	26	y1	y1	NOUN
esrj-100754	103	27	(	(	PUNCT
esrj-100754	103	28	13	13	NUM
esrj-100754	103	29	)	)	PUNCT
esrj-100754	103	30	α12	α12	NOUN
esrj-100754	103	31	=	=	SYM
esrj-100754	103	32	arctan	arctan	PROPN
esrj-100754	103	33	(	(	PUNCT
esrj-100754	103	34	)	)	PUNCT
esrj-100754	103	35	(	(	PUNCT
esrj-100754	103	36	1	1	X
esrj-100754	103	37	)	)	PUNCT
esrj-100754	103	38	(	(	PUNCT
esrj-100754	103	39	)	)	PUNCT
esrj-100754	103	40	−	−	PROPN
esrj-100754	103	41	(	(	PUNCT
esrj-100754	103	42	2	2	NUM
esrj-100754	103	43	)	)	PUNCT
esrj-100754	103	44	(	(	PUNCT
esrj-100754	103	45	1	1	X
esrj-100754	103	46	)	)	PUNCT
esrj-100754	103	47	α21	α21	NOUN
esrj-100754	103	48	=	=	SYM
esrj-100754	103	49	arctan	arctan	PROPN
esrj-100754	103	50	(	(	PUNCT
esrj-100754	103	51	)	)	PUNCT
esrj-100754	103	52	(	(	PUNCT
esrj-100754	103	53	1	1	X
esrj-100754	103	54	)	)	PUNCT
esrj-100754	103	55	(	(	PUNCT
esrj-100754	103	56	2)−	2)−	NUM
esrj-100754	103	57	(	(	PUNCT
esrj-100754	103	58	2	2	NUM
esrj-100754	103	59	)	)	PUNCT
esrj-100754	103	60	(	(	PUNCT
esrj-100754	103	61	)	)	PUNCT
esrj-100754	103	62	(	(	PUNCT
esrj-100754	103	63	14	14	NUM
esrj-100754	103	64	)	)	PUNCT
esrj-100754	103	65	α12	α12	NOUN
esrj-100754	103	66	=	=	SYM
esrj-100754	103	67	arctan	arctan	PROPN
esrj-100754	103	68	(	(	PUNCT
esrj-100754	103	69	)	)	PUNCT
esrj-100754	103	70	(	(	PUNCT
esrj-100754	103	71	1	1	X
esrj-100754	103	72	)	)	PUNCT
esrj-100754	103	73	(	(	PUNCT
esrj-100754	103	74	)	)	PUNCT
esrj-100754	103	75	−	−	PROPN
esrj-100754	104	1	(	(	PUNCT
esrj-100754	104	2	2	2	NUM
esrj-100754	104	3	)	)	PUNCT
esrj-100754	104	4	(	(	PUNCT
esrj-100754	104	5	1	1	X
esrj-100754	104	6	)	)	PUNCT
esrj-100754	104	7	α21	α21	NOUN
esrj-100754	104	8	=	=	SYM
esrj-100754	104	9	arctan	arctan	PROPN
esrj-100754	104	10	(	(	PUNCT
esrj-100754	104	11	)	)	PUNCT
esrj-100754	104	12	(	(	PUNCT
esrj-100754	104	13	1	1	X
esrj-100754	104	14	)	)	PUNCT
esrj-100754	104	15	(	(	PUNCT
esrj-100754	104	16	2)−	2)−	NUM
esrj-100754	104	17	(	(	PUNCT
esrj-100754	104	18	2	2	NUM
esrj-100754	104	19	)	)	PUNCT
esrj-100754	104	20	(	(	PUNCT
esrj-100754	104	21	)	)	PUNCT
esrj-100754	104	22	(	(	PUNCT
esrj-100754	104	23	15	15	X
esrj-100754	104	24	)	)	PUNCT
esrj-100754	104	25	the	the	DET
esrj-100754	104	26	bearing	bear	VERB
esrj-100754	104	27	angle	angle	NOUN
esrj-100754	104	28	values	value	NOUN
esrj-100754	104	29	found	find	VERB
esrj-100754	104	30	from	from	ADP
esrj-100754	104	31	the	the	DET
esrj-100754	104	32	classical	classical	ADJ
esrj-100754	104	33	formula	formula	NOUN
esrj-100754	104	34	need	need	VERB
esrj-100754	104	35	to	to	PART
esrj-100754	104	36	be	be	AUX
esrj-100754	104	37	examined	examine	VERB
esrj-100754	104	38	.	.	PUNCT
esrj-100754	105	1	according	accord	VERB
esrj-100754	105	2	to	to	ADP
esrj-100754	105	3	the	the	DET
esrj-100754	105	4	quarter	quarter	NOUN
esrj-100754	105	5	where	where	SCONJ
esrj-100754	105	6	the	the	DET
esrj-100754	105	7	angle	angle	NOUN
esrj-100754	105	8	is	be	AUX
esrj-100754	105	9	located	locate	VERB
esrj-100754	105	10	,	,	PUNCT
esrj-100754	105	11	the	the	DET
esrj-100754	105	12	additions	addition	NOUN
esrj-100754	105	13	in	in	ADP
esrj-100754	105	14	the	the	DET
esrj-100754	105	15	table	table	NOUN
esrj-100754	105	16	2	2	NUM
esrj-100754	105	17	below	below	ADV
esrj-100754	105	18	should	should	AUX
esrj-100754	105	19	be	be	AUX
esrj-100754	105	20	made	make	VERB
esrj-100754	105	21	.	.	PUNCT
esrj-100754	106	1	table	table	NOUN
esrj-100754	106	2	2	2	NUM
esrj-100754	106	3	.	.	PUNCT
esrj-100754	106	4	fixed	fix	VERB
esrj-100754	106	5	value	value	NOUN
esrj-100754	106	6	to	to	PART
esrj-100754	106	7	add	add	VERB
esrj-100754	106	8	for	for	ADP
esrj-100754	106	9	bearing	bear	VERB
esrj-100754	106	10	angles	angle	NOUN
esrj-100754	106	11	quadrant	quadrant	ADJ
esrj-100754	106	12	∆y	∆y	PROPN
esrj-100754	106	13	=	=	NOUN
esrj-100754	106	14	y2−	y2−	NUM
esrj-100754	106	15	y1	y1	NOUN
esrj-100754	106	16	fixed	fix	VERB
esrj-100754	106	17	value	value	NOUN
esrj-100754	106	18	to	to	PART
esrj-100754	106	19	add	add	VERB
esrj-100754	106	20	for	for	ADP
esrj-100754	106	21	α12	α12	ADJ
esrj-100754	106	22	fixed	fix	VERB
esrj-100754	106	23	value	value	NOUN
esrj-100754	106	24	to	to	PART
esrj-100754	106	25	add	add	VERB
esrj-100754	106	26	for	for	ADP
esrj-100754	106	27	α21	α21	NOUN
esrj-100754	106	28	1	1	NUM
esrj-100754	106	29	and	and	CCONJ
esrj-100754	106	30	2	2	NUM
esrj-100754	106	31	+	+	NUM
esrj-100754	106	32	90o	90o	NOUN
esrj-100754	106	33	270o	270o	NUM
esrj-100754	106	34	3	3	NUM
esrj-100754	106	35	and	and	CCONJ
esrj-100754	106	36	4	4	NUM
esrj-100754	106	37	270o	270o	NUM
esrj-100754	106	38	+90o	+90o	NUM
esrj-100754	107	1	208	208	NUM
esrj-100754	107	2	sebahattin	sebahattin	NOUN
esrj-100754	107	3	bektaş	bektaş	NOUN
esrj-100754	107	4	the	the	DET
esrj-100754	107	5	following	follow	VERB
esrj-100754	107	6	values	value	NOUN
esrj-100754	107	7	of	of	ADP
esrj-100754	107	8	i	i	PROPN
esrj-100754	107	9	,	,	PUNCT
esrj-100754	107	10	ii	ii	PROPN
esrj-100754	107	11	and	and	CCONJ
esrj-100754	107	12	iii	iii	NUM
esrj-100754	107	13	are	be	AUX
esrj-100754	107	14	calculated	calculate	VERB
esrj-100754	107	15	to	to	PART
esrj-100754	107	16	find	find	VERB
esrj-100754	107	17	the	the	DET
esrj-100754	107	18	direct	direct	ADJ
esrj-100754	107	19	bearing	bearing	NOUN
esrj-100754	107	20	angle	angle	NOUN
esrj-100754	107	21	without	without	ADP
esrj-100754	107	22	examining	examine	VERB
esrj-100754	107	23	the	the	DET
esrj-100754	107	24	sphere	sphere	NOUN
esrj-100754	107	25	surface	surface	NOUN
esrj-100754	107	26	.	.	PUNCT
esrj-100754	108	1	dx	dx	PROPN
esrj-100754	109	1	=	=	SYM
esrj-100754	109	2	x2	x2	NUM
esrj-100754	110	1	x1	x1	PROPN
esrj-100754	111	1	(	(	PUNCT
esrj-100754	111	2	16	16	NUM
esrj-100754	111	3	)	)	PUNCT
esrj-100754	111	4	=	=	NOUN
esrj-100754	111	5	(	(	PUNCT
esrj-100754	111	6	1	1	NUM
esrj-100754	111	7	)	)	PUNCT
esrj-100754	111	8	(	(	PUNCT
esrj-100754	111	9	2	2	NUM
esrj-100754	111	10	)	)	PUNCT
esrj-100754	111	11	−	−	PROPN
esrj-100754	111	12	(	(	PUNCT
esrj-100754	111	13	1	1	NUM
esrj-100754	111	14	)	)	PUNCT
esrj-100754	111	15	(	(	PUNCT
esrj-100754	111	16	)	)	PUNCT
esrj-100754	111	17	=	=	SYM
esrj-100754	111	18	(	(	PUNCT
esrj-100754	111	19	)	)	PUNCT
esrj-100754	111	20	=	=	SYM
esrj-100754	111	21	(	(	PUNCT
esrj-100754	111	22	2	2	NUM
esrj-100754	111	23	)	)	PUNCT
esrj-100754	111	24	(	(	PUNCT
esrj-100754	111	25	1	1	NUM
esrj-100754	111	26	)	)	PUNCT
esrj-100754	111	27	−	−	PROPN
esrj-100754	112	1	(	(	PUNCT
esrj-100754	112	2	2	2	NUM
esrj-100754	112	3	)	)	PUNCT
esrj-100754	112	4	(	(	PUNCT
esrj-100754	112	5	)	)	PUNCT
esrj-100754	112	6	α12	α12	PROPN
esrj-100754	112	7	=	=	SYM
esrj-100754	113	1	2.arctan	2.arctan	NUM
esrj-100754	113	2	(	(	PUNCT
esrj-100754	113	3	−√	−√	NOUN
esrj-100754	113	4	2	2	NUM
esrj-100754	113	5	+	+	NUM
esrj-100754	113	6	2	2	NUM
esrj-100754	113	7	)	)	PUNCT
esrj-100754	113	8	+	+	NUM
esrj-100754	113	9	180	180	NUM
esrj-100754	113	10	α21	α21	NOUN
esrj-100754	113	11	=	=	SYM
esrj-100754	113	12	2.arctan	2.arctan	PROPN
esrj-100754	113	13	(	(	PUNCT
esrj-100754	113	14	−	−	PUNCT
esrj-100754	113	15	−√	−√	NOUN
esrj-100754	113	16	2	2	NUM
esrj-100754	113	17	+	+	NUM
esrj-100754	113	18	2	2	NUM
esrj-100754	113	19	)	)	PUNCT
esrj-100754	113	20	+	+	NUM
esrj-100754	113	21	180	180	NUM
esrj-100754	113	22	(	(	PUNCT
esrj-100754	113	23	17	17	NUM
esrj-100754	113	24	)	)	PUNCT
esrj-100754	113	25	=	=	NOUN
esrj-100754	113	26	(	(	PUNCT
esrj-100754	113	27	1	1	NUM
esrj-100754	113	28	)	)	PUNCT
esrj-100754	113	29	(	(	PUNCT
esrj-100754	113	30	2	2	NUM
esrj-100754	113	31	)	)	PUNCT
esrj-100754	113	32	−	−	PROPN
esrj-100754	113	33	(	(	PUNCT
esrj-100754	113	34	1	1	NUM
esrj-100754	113	35	)	)	PUNCT
esrj-100754	113	36	(	(	PUNCT
esrj-100754	113	37	)	)	PUNCT
esrj-100754	113	38	=	=	SYM
esrj-100754	113	39	(	(	PUNCT
esrj-100754	113	40	)	)	PUNCT
esrj-100754	113	41	=	=	SYM
esrj-100754	113	42	(	(	PUNCT
esrj-100754	113	43	2	2	NUM
esrj-100754	113	44	)	)	PUNCT
esrj-100754	113	45	(	(	PUNCT
esrj-100754	113	46	1	1	NUM
esrj-100754	113	47	)	)	PUNCT
esrj-100754	113	48	−	−	PROPN
esrj-100754	113	49	(	(	PUNCT
esrj-100754	113	50	2	2	NUM
esrj-100754	113	51	)	)	PUNCT
esrj-100754	113	52	(	(	PUNCT
esrj-100754	113	53	)	)	PUNCT
esrj-100754	113	54	α12	α12	PROPN
esrj-100754	113	55	=	=	SYM
esrj-100754	113	56	2.arctan	2.arctan	NUM
esrj-100754	113	57	(	(	PUNCT
esrj-100754	113	58	−√	−√	NOUN
esrj-100754	113	59	2	2	NUM
esrj-100754	113	60	+	+	NUM
esrj-100754	113	61	2	2	NUM
esrj-100754	113	62	)	)	PUNCT
esrj-100754	113	63	+	+	NUM
esrj-100754	113	64	180	180	NUM
esrj-100754	113	65	α21	α21	NOUN
esrj-100754	113	66	=	=	SYM
esrj-100754	113	67	2.arctan	2.arctan	PROPN
esrj-100754	113	68	(	(	PUNCT
esrj-100754	113	69	−	−	PUNCT
esrj-100754	113	70	−√	−√	NOUN
esrj-100754	113	71	2	2	NUM
esrj-100754	113	72	+	+	NUM
esrj-100754	113	73	2	2	NUM
esrj-100754	113	74	)	)	PUNCT
esrj-100754	113	75	+	+	CCONJ
esrj-100754	113	76	180	180	NUM
esrj-100754	113	77	(	(	PUNCT
esrj-100754	113	78	18	18	NUM
esrj-100754	113	79	)	)	PUNCT
esrj-100754	113	80	=	=	NOUN
esrj-100754	113	81	(	(	PUNCT
esrj-100754	113	82	1	1	NUM
esrj-100754	113	83	)	)	PUNCT
esrj-100754	113	84	(	(	PUNCT
esrj-100754	113	85	2	2	NUM
esrj-100754	113	86	)	)	PUNCT
esrj-100754	113	87	−	−	PROPN
esrj-100754	113	88	(	(	PUNCT
esrj-100754	113	89	1	1	NUM
esrj-100754	113	90	)	)	PUNCT
esrj-100754	113	91	(	(	PUNCT
esrj-100754	113	92	)	)	PUNCT
esrj-100754	113	93	=	=	SYM
esrj-100754	113	94	(	(	PUNCT
esrj-100754	113	95	)	)	PUNCT
esrj-100754	113	96	=	=	SYM
esrj-100754	113	97	(	(	PUNCT
esrj-100754	113	98	2	2	NUM
esrj-100754	113	99	)	)	PUNCT
esrj-100754	113	100	(	(	PUNCT
esrj-100754	113	101	1	1	NUM
esrj-100754	113	102	)	)	PUNCT
esrj-100754	113	103	−	−	PROPN
esrj-100754	113	104	(	(	PUNCT
esrj-100754	113	105	2	2	NUM
esrj-100754	113	106	)	)	PUNCT
esrj-100754	113	107	(	(	PUNCT
esrj-100754	113	108	)	)	PUNCT
esrj-100754	113	109	α12	α12	PROPN
esrj-100754	113	110	=	=	SYM
esrj-100754	113	111	2.arctan	2.arctan	NUM
esrj-100754	113	112	(	(	PUNCT
esrj-100754	113	113	−√	−√	NOUN
esrj-100754	113	114	2	2	NUM
esrj-100754	113	115	+	+	NUM
esrj-100754	113	116	2	2	NUM
esrj-100754	113	117	)	)	PUNCT
esrj-100754	113	118	+	+	NUM
esrj-100754	113	119	180	180	NUM
esrj-100754	113	120	α21	α21	NOUN
esrj-100754	113	121	=	=	SYM
esrj-100754	113	122	2.arctan	2.arctan	PROPN
esrj-100754	113	123	(	(	PUNCT
esrj-100754	113	124	−	−	PUNCT
esrj-100754	113	125	−√	−√	NOUN
esrj-100754	113	126	2	2	NUM
esrj-100754	113	127	+	+	NUM
esrj-100754	113	128	2	2	NUM
esrj-100754	113	129	)	)	PUNCT
esrj-100754	113	130	+	+	CCONJ
esrj-100754	113	131	180	180	NUM
esrj-100754	113	132	(	(	PUNCT
esrj-100754	113	133	19	19	NUM
esrj-100754	113	134	)	)	PUNCT
esrj-100754	113	135	=	=	NOUN
esrj-100754	113	136	(	(	PUNCT
esrj-100754	113	137	1	1	NUM
esrj-100754	113	138	)	)	PUNCT
esrj-100754	113	139	(	(	PUNCT
esrj-100754	113	140	2	2	NUM
esrj-100754	113	141	)	)	PUNCT
esrj-100754	113	142	−	−	PROPN
esrj-100754	113	143	(	(	PUNCT
esrj-100754	113	144	1	1	NUM
esrj-100754	113	145	)	)	PUNCT
esrj-100754	113	146	(	(	PUNCT
esrj-100754	113	147	)	)	PUNCT
esrj-100754	113	148	=	=	SYM
esrj-100754	113	149	(	(	PUNCT
esrj-100754	113	150	)	)	PUNCT
esrj-100754	113	151	=	=	SYM
esrj-100754	113	152	(	(	PUNCT
esrj-100754	113	153	2	2	NUM
esrj-100754	113	154	)	)	PUNCT
esrj-100754	113	155	(	(	PUNCT
esrj-100754	113	156	1	1	NUM
esrj-100754	113	157	)	)	PUNCT
esrj-100754	113	158	−	−	PROPN
esrj-100754	113	159	(	(	PUNCT
esrj-100754	113	160	2	2	NUM
esrj-100754	113	161	)	)	PUNCT
esrj-100754	113	162	(	(	PUNCT
esrj-100754	113	163	)	)	PUNCT
esrj-100754	113	164	α12	α12	PROPN
esrj-100754	113	165	=	=	SYM
esrj-100754	113	166	2.arctan	2.arctan	NUM
esrj-100754	113	167	(	(	PUNCT
esrj-100754	113	168	−√	−√	NOUN
esrj-100754	113	169	2	2	NUM
esrj-100754	113	170	+	+	NUM
esrj-100754	113	171	2	2	NUM
esrj-100754	113	172	)	)	PUNCT
esrj-100754	113	173	+	+	NUM
esrj-100754	113	174	180	180	NUM
esrj-100754	113	175	α21	α21	NOUN
esrj-100754	113	176	=	=	SYM
esrj-100754	113	177	2.arctan	2.arctan	PROPN
esrj-100754	113	178	(	(	PUNCT
esrj-100754	113	179	−	−	PUNCT
esrj-100754	113	180	−√	−√	NOUN
esrj-100754	113	181	2	2	NUM
esrj-100754	113	182	+	+	NUM
esrj-100754	113	183	2	2	NUM
esrj-100754	113	184	)	)	PUNCT
esrj-100754	113	185	+	+	NUM
esrj-100754	113	186	180	180	NUM
esrj-100754	113	187	(	(	PUNCT
esrj-100754	113	188	20	20	NUM
esrj-100754	113	189	)	)	PUNCT
esrj-100754	113	190	=	=	NOUN
esrj-100754	113	191	(	(	PUNCT
esrj-100754	113	192	1	1	NUM
esrj-100754	113	193	)	)	PUNCT
esrj-100754	113	194	(	(	PUNCT
esrj-100754	113	195	2	2	NUM
esrj-100754	113	196	)	)	PUNCT
esrj-100754	113	197	−	−	PROPN
esrj-100754	113	198	(	(	PUNCT
esrj-100754	113	199	1	1	NUM
esrj-100754	113	200	)	)	PUNCT
esrj-100754	113	201	(	(	PUNCT
esrj-100754	113	202	)	)	PUNCT
esrj-100754	113	203	=	=	SYM
esrj-100754	113	204	(	(	PUNCT
esrj-100754	113	205	)	)	PUNCT
esrj-100754	113	206	=	=	SYM
esrj-100754	113	207	(	(	PUNCT
esrj-100754	113	208	2	2	NUM
esrj-100754	113	209	)	)	PUNCT
esrj-100754	113	210	(	(	PUNCT
esrj-100754	113	211	1	1	NUM
esrj-100754	113	212	)	)	PUNCT
esrj-100754	113	213	−	−	PROPN
esrj-100754	113	214	(	(	PUNCT
esrj-100754	113	215	2	2	NUM
esrj-100754	113	216	)	)	PUNCT
esrj-100754	113	217	(	(	PUNCT
esrj-100754	113	218	)	)	PUNCT
esrj-100754	113	219	α12	α12	PROPN
esrj-100754	113	220	=	=	SYM
esrj-100754	113	221	2.arctan	2.arctan	NUM
esrj-100754	113	222	(	(	PUNCT
esrj-100754	113	223	−√	−√	NOUN
esrj-100754	113	224	2	2	NUM
esrj-100754	113	225	+	+	NUM
esrj-100754	113	226	2	2	NUM
esrj-100754	113	227	)	)	PUNCT
esrj-100754	113	228	+	+	NUM
esrj-100754	113	229	180	180	NUM
esrj-100754	113	230	α21	α21	NOUN
esrj-100754	113	231	=	=	SYM
esrj-100754	113	232	2.arctan	2.arctan	PROPN
esrj-100754	113	233	(	(	PUNCT
esrj-100754	113	234	−	−	PUNCT
esrj-100754	113	235	−√	−√	NOUN
esrj-100754	113	236	2	2	NUM
esrj-100754	113	237	+	+	NUM
esrj-100754	113	238	2	2	NUM
esrj-100754	113	239	)	)	PUNCT
esrj-100754	113	240	+	+	NUM
esrj-100754	113	241	180	180	NUM
esrj-100754	113	242	(	(	PUNCT
esrj-100754	113	243	21	21	NUM
esrj-100754	113	244	)	)	PUNCT
esrj-100754	113	245	the	the	DET
esrj-100754	113	246	given	give	VERB
esrj-100754	113	247	formulas	formula	NOUN
esrj-100754	113	248	in	in	ADP
esrj-100754	113	249	equation	equation	NOUN
esrj-100754	113	250	20	20	NUM
esrj-100754	113	251	and	and	CCONJ
esrj-100754	113	252	equation	equation	NOUN
esrj-100754	113	253	21	21	NUM
esrj-100754	113	254	do	do	AUX
esrj-100754	113	255	not	not	PART
esrj-100754	113	256	work	work	VERB
esrj-100754	113	257	if	if	SCONJ
esrj-100754	113	258	the	the	DET
esrj-100754	113	259	denominator	denominator	NOUN
esrj-100754	113	260	equals	equal	VERB
esrj-100754	113	261	zero	zero	NUM
esrj-100754	113	262	.	.	PUNCT
esrj-100754	114	1	the	the	DET
esrj-100754	114	2	program	program	NOUN
esrj-100754	114	3	will	will	AUX
esrj-100754	114	4	be	be	AUX
esrj-100754	114	5	interrupted	interrupt	VERB
esrj-100754	114	6	because	because	SCONJ
esrj-100754	114	7	division	division	NOUN
esrj-100754	114	8	by	by	ADP
esrj-100754	114	9	zero	zero	NUM
esrj-100754	114	10	is	be	AUX
esrj-100754	114	11	done	do	VERB
esrj-100754	114	12	.	.	PUNCT
esrj-100754	115	1	this	this	DET
esrj-100754	115	2	problem	problem	NOUN
esrj-100754	115	3	also	also	ADV
esrj-100754	115	4	arises	arise	VERB
esrj-100754	115	5	in	in	ADP
esrj-100754	115	6	the	the	DET
esrj-100754	115	7	use	use	NOUN
esrj-100754	115	8	of	of	ADP
esrj-100754	115	9	classical	classical	ADJ
esrj-100754	115	10	formulas	formula	NOUN
esrj-100754	115	11	.	.	PUNCT
esrj-100754	116	1	in	in	ADP
esrj-100754	116	2	order	order	NOUN
esrj-100754	116	3	not	not	PART
esrj-100754	116	4	to	to	PART
esrj-100754	116	5	interrupt	interrupt	VERB
esrj-100754	116	6	the	the	DET
esrj-100754	116	7	program	program	NOUN
esrj-100754	116	8	,	,	PUNCT
esrj-100754	116	9	very	very	ADV
esrj-100754	116	10	small	small	ADJ
esrj-100754	116	11	numbers	number	NOUN
esrj-100754	116	12	are	be	AUX
esrj-100754	116	13	added	add	VERB
esrj-100754	116	14	to	to	ADP
esrj-100754	116	15	the	the	DET
esrj-100754	116	16	numerator	numerator	NOUN
esrj-100754	116	17	and	and	CCONJ
esrj-100754	116	18	denominator	denominator	NOUN
esrj-100754	116	19	at	at	ADP
esrj-100754	116	20	a	a	DET
esrj-100754	116	21	rate	rate	NOUN
esrj-100754	116	22	that	that	PRON
esrj-100754	116	23	will	will	AUX
esrj-100754	116	24	not	not	PART
esrj-100754	116	25	affect	affect	VERB
esrj-100754	116	26	the	the	DET
esrj-100754	116	27	result	result	NOUN
esrj-100754	116	28	.	.	PUNCT
esrj-100754	117	1	if	if	SCONJ
esrj-100754	117	2	μ1=1e	μ1=1e	PROPN
esrj-100754	117	3	–	–	PUNCT
esrj-100754	117	4	15	15	NUM
esrj-100754	117	5	,	,	PUNCT
esrj-100754	117	6	...	...	PUNCT
esrj-100754	117	7	μ2	μ2	NOUN
esrj-100754	117	8	=	=	SYM
esrj-100754	117	9	1e	1e	NUM
esrj-100754	117	10	–	–	PUNCT
esrj-100754	117	11	27	27	NUM
esrj-100754	117	12	are	be	AUX
esrj-100754	117	13	selected	select	VERB
esrj-100754	117	14	,	,	PUNCT
esrj-100754	117	15	ten	ten	NUM
esrj-100754	117	16	-	-	PUNCT
esrj-100754	117	17	digit	digit	NOUN
esrj-100754	117	18	sensitive	sensitive	ADJ
esrj-100754	117	19	bearing	bearing	NOUN
esrj-100754	117	20	angle	angle	NOUN
esrj-100754	117	21	values	value	NOUN
esrj-100754	117	22	are	be	AUX
esrj-100754	117	23	obtained	obtain	VERB
esrj-100754	117	24	.	.	PUNCT
esrj-100754	118	1	the	the	DET
esrj-100754	118	2	division	division	NOUN
esrj-100754	118	3	by	by	ADP
esrj-100754	118	4	zero	zero	NUM
esrj-100754	118	5	error	error	NOUN
esrj-100754	118	6	will	will	AUX
esrj-100754	118	7	be	be	AUX
esrj-100754	118	8	avoided	avoid	VERB
esrj-100754	118	9	if	if	SCONJ
esrj-100754	118	10	the	the	DET
esrj-100754	118	11	following	follow	VERB
esrj-100754	118	12	formulas	formula	NOUN
esrj-100754	118	13	equation	equation	NOUN
esrj-100754	118	14	22	22	NUM
esrj-100754	118	15	and	and	CCONJ
esrj-100754	118	16	equation	equation	NOUN
esrj-100754	118	17	23	23	NUM
esrj-100754	118	18	are	be	AUX
esrj-100754	118	19	used	use	VERB
esrj-100754	118	20	.	.	PUNCT
esrj-100754	119	1	α12	α12	PROPN
esrj-100754	119	2	=	=	SYM
esrj-100754	120	1	2.arctan	2.arctan	PROPN
esrj-100754	120	2	(	(	PUNCT
esrj-100754	120	3	+	+	ADV
esrj-100754	120	4	µ1	µ1	ADJ
esrj-100754	120	5	µ2	µ2	ADJ
esrj-100754	120	6	+	+	CCONJ
esrj-100754	120	7	−√	−√	NUM
esrj-100754	120	8	2	2	NUM
esrj-100754	120	9	+	+	NUM
esrj-100754	120	10	2	2	NUM
esrj-100754	120	11	)	)	PUNCT
esrj-100754	120	12	+	+	NUM
esrj-100754	120	13	180	180	NUM
esrj-100754	120	14	α21	α21	NOUN
esrj-100754	120	15	=	=	SYM
esrj-100754	120	16	2.arctan	2.arctan	PROPN
esrj-100754	120	17	(	(	PUNCT
esrj-100754	120	18	+	+	NOUN
esrj-100754	120	19	µ1	µ1	PROPN
esrj-100754	120	20	µ2−	µ2−	NOUN
esrj-100754	120	21	−√	−√	PRON
esrj-100754	120	22	2	2	NUM
esrj-100754	120	23	+	+	NUM
esrj-100754	120	24	2	2	NUM
esrj-100754	120	25	)	)	PUNCT
esrj-100754	120	26	+	+	CCONJ
esrj-100754	120	27	180	180	NUM
esrj-100754	120	28	(	(	PUNCT
esrj-100754	120	29	22	22	NUM
esrj-100754	120	30	)	)	PUNCT
esrj-100754	120	31	α12	α12	NOUN
esrj-100754	120	32	=	=	SYM
esrj-100754	120	33	2.arctan	2.arctan	PROPN
esrj-100754	120	34	(	(	PUNCT
esrj-100754	120	35	+	+	ADV
esrj-100754	120	36	µ1	µ1	ADJ
esrj-100754	120	37	µ2	µ2	ADJ
esrj-100754	120	38	+	+	CCONJ
esrj-100754	120	39	−√	−√	NUM
esrj-100754	120	40	2	2	NUM
esrj-100754	120	41	+	+	NUM
esrj-100754	120	42	2	2	NUM
esrj-100754	120	43	)	)	PUNCT
esrj-100754	120	44	+	+	NUM
esrj-100754	120	45	180	180	NUM
esrj-100754	120	46	α21	α21	NOUN
esrj-100754	120	47	=	=	SYM
esrj-100754	120	48	2.arctan	2.arctan	PROPN
esrj-100754	120	49	(	(	PUNCT
esrj-100754	120	50	+	+	NOUN
esrj-100754	120	51	µ1	µ1	PROPN
esrj-100754	120	52	µ2−	µ2−	NOUN
esrj-100754	120	53	−√	−√	PRON
esrj-100754	120	54	2	2	NUM
esrj-100754	120	55	+	+	NUM
esrj-100754	120	56	2	2	NUM
esrj-100754	120	57	)	)	PUNCT
esrj-100754	120	58	+	+	CCONJ
esrj-100754	120	59	180	180	NUM
esrj-100754	120	60	(	(	PUNCT
esrj-100754	120	61	23	23	NUM
esrj-100754	120	62	)	)	SYM
esrj-100754	120	63	4	4	NUM
esrj-100754	120	64	.	.	PUNCT
esrj-100754	120	65	numerical	numerical	ADJ
esrj-100754	120	66	example	example	NOUN
esrj-100754	120	67	in	in	ADP
esrj-100754	120	68	order	order	NOUN
esrj-100754	120	69	to	to	PART
esrj-100754	120	70	show	show	VERB
esrj-100754	120	71	the	the	DET
esrj-100754	120	72	validity	validity	NOUN
esrj-100754	120	73	of	of	ADP
esrj-100754	120	74	the	the	DET
esrj-100754	120	75	given	give	VERB
esrj-100754	120	76	formulas	formula	NOUN
esrj-100754	120	77	,	,	PUNCT
esrj-100754	120	78	numerical	numerical	ADJ
esrj-100754	120	79	applications	application	NOUN
esrj-100754	120	80	were	be	AUX
esrj-100754	120	81	made	make	VERB
esrj-100754	120	82	separately	separately	ADV
esrj-100754	120	83	in	in	ADP
esrj-100754	120	84	the	the	DET
esrj-100754	120	85	east	east	NOUN
esrj-100754	120	86	and	and	CCONJ
esrj-100754	120	87	west	west	NOUN
esrj-100754	120	88	of	of	ADP
esrj-100754	120	89	greenwich	greenwich	PROPN
esrj-100754	120	90	in	in	ADP
esrj-100754	120	91	both	both	CCONJ
esrj-100754	120	92	the	the	DET
esrj-100754	120	93	northern	northern	ADJ
esrj-100754	120	94	and	and	CCONJ
esrj-100754	120	95	southern	southern	ADJ
esrj-100754	120	96	hemispheres	hemisphere	NOUN
esrj-100754	120	97	.	.	PUNCT
esrj-100754	121	1	inverse	inverse	ADJ
esrj-100754	121	2	problem	problem	NOUN
esrj-100754	121	3	was	be	AUX
esrj-100754	121	4	solved	solve	VERB
esrj-100754	121	5	between	between	ADP
esrj-100754	121	6	twenty	twenty	NUM
esrj-100754	121	7	-	-	PUNCT
esrj-100754	121	8	point	point	NOUN
esrj-100754	121	9	pairs	pair	NOUN
esrj-100754	121	10	in	in	ADP
esrj-100754	121	11	total	total	NOUN
esrj-100754	121	12	.	.	PUNCT
esrj-100754	122	1	the	the	DET
esrj-100754	122	2	radius	radius	NOUN
esrj-100754	122	3	of	of	ADP
esrj-100754	122	4	the	the	DET
esrj-100754	122	5	earth	earth	NOUN
esrj-100754	122	6	is	be	AUX
esrj-100754	122	7	taken	take	VERB
esrj-100754	122	8	as	as	ADP
esrj-100754	122	9	r=6370000	r=6370000	PROPN
esrj-100754	122	10	m	m	PROPN
esrj-100754	122	11	,	,	PUNCT
esrj-100754	122	12	the	the	DET
esrj-100754	122	13	prime	prime	ADJ
esrj-100754	122	14	meridian	meridian	PROPN
esrj-100754	122	15	is	be	AUX
esrj-100754	122	16	taken	take	VERB
esrj-100754	122	17	as	as	ADP
esrj-100754	122	18	λprime=30o	λprime=30o	VERB
esrj-100754	122	19	to	to	ADP
esrj-100754	122	20	the	the	DET
esrj-100754	122	21	east	east	NOUN
esrj-100754	122	22	of	of	ADP
esrj-100754	122	23	greenwich	greenwich	PROPN
esrj-100754	122	24	and	and	CCONJ
esrj-100754	122	25	λprime=	λprime=	NUM
esrj-100754	122	26	-30o	-30o	NOUN
esrj-100754	122	27	to	to	ADP
esrj-100754	122	28	the	the	DET
esrj-100754	122	29	west	west	NOUN
esrj-100754	122	30	of	of	ADP
esrj-100754	122	31	greenwich	greenwich	PROPN
esrj-100754	122	32	.	.	PUNCT
esrj-100754	123	1	in	in	ADP
esrj-100754	123	2	numerical	numerical	ADJ
esrj-100754	123	3	applications	application	NOUN
esrj-100754	123	4	(	(	PUNCT
esrj-100754	123	5	y	y	NOUN
esrj-100754	123	6	,	,	PUNCT
esrj-100754	123	7	x	x	NOUN
esrj-100754	123	8	)	)	PUNCT
esrj-100754	123	9	soldner	soldner	NOUN
esrj-100754	123	10	coordinates	coordinate	NOUN
esrj-100754	123	11	and	and	CCONJ
esrj-100754	123	12	(	(	PUNCT
esrj-100754	123	13	γ	γ	NOUN
esrj-100754	123	14	)	)	PUNCT
esrj-100754	123	15	meridian	meridian	ADJ
esrj-100754	123	16	convergences	convergence	NOUN
esrj-100754	123	17	of	of	ADP
esrj-100754	123	18	twenty	twenty	NUM
esrj-100754	123	19	-	-	PUNCT
esrj-100754	123	20	point	point	NOUN
esrj-100754	123	21	pairs	pair	NOUN
esrj-100754	123	22	are	be	AUX
esrj-100754	123	23	calculated	calculate	VERB
esrj-100754	123	24	whose	whose	DET
esrj-100754	123	25	(	(	PUNCT
esrj-100754	123	26	φ	φ	PROPN
esrj-100754	123	27	,	,	PUNCT
esrj-100754	123	28	λ	λ	NOUN
esrj-100754	123	29	)	)	PUNCT
esrj-100754	123	30	geographic	geographic	ADJ
esrj-100754	123	31	coordinates	coordinate	NOUN
esrj-100754	123	32	are	be	AUX
esrj-100754	123	33	given	give	VERB
esrj-100754	123	34	.	.	PUNCT
esrj-100754	124	1	then	then	ADV
esrj-100754	124	2	,	,	PUNCT
esrj-100754	124	3	the	the	DET
esrj-100754	124	4	bearing	bearing	NOUN
esrj-100754	124	5	(	(	PUNCT
esrj-100754	124	6	α	α	NOUN
esrj-100754	124	7	)	)	PUNCT
esrj-100754	124	8	and	and	CCONJ
esrj-100754	124	9	the	the	DET
esrj-100754	124	10	azimuth	azimuth	NOUN
esrj-100754	124	11	angles	angle	NOUN
esrj-100754	124	12	(	(	PUNCT
esrj-100754	124	13	a	a	DET
esrj-100754	124	14	)	)	PUNCT
esrj-100754	124	15	calculations	calculation	NOUN
esrj-100754	124	16	were	be	AUX
esrj-100754	124	17	made	make	VERB
esrj-100754	124	18	separately	separately	ADV
esrj-100754	124	19	with	with	ADP
esrj-100754	124	20	direct	direct	ADJ
esrj-100754	124	21	formulas	formula	NOUN
esrj-100754	124	22	.	.	PUNCT
esrj-100754	125	1	in	in	ADP
esrj-100754	125	2	order	order	NOUN
esrj-100754	125	3	to	to	PART
esrj-100754	125	4	control	control	VERB
esrj-100754	125	5	between	between	ADP
esrj-100754	125	6	the	the	DET
esrj-100754	125	7	bearing	bearing	NOUN
esrj-100754	125	8	and	and	CCONJ
esrj-100754	125	9	azimuth	azimuth	NOUN
esrj-100754	125	10	angles	angle	NOUN
esrj-100754	125	11	,	,	PUNCT
esrj-100754	125	12	the	the	DET
esrj-100754	125	13	azimuth	azimuth	PROPN
esrj-100754	125	14	angle	angle	NOUN
esrj-100754	125	15	was	be	AUX
esrj-100754	125	16	found	find	VERB
esrj-100754	125	17	by	by	ADP
esrj-100754	125	18	adding	add	VERB
esrj-100754	125	19	the	the	DET
esrj-100754	125	20	meridian	meridian	PROPN
esrj-100754	125	21	convergence	convergence	NOUN
esrj-100754	125	22	to	to	ADP
esrj-100754	125	23	the	the	DET
esrj-100754	125	24	bearing	bearing	NOUN
esrj-100754	125	25	angle	angle	NOUN
esrj-100754	125	26	(	(	PUNCT
esrj-100754	125	27	aij	aij	X
esrj-100754	125	28	=	=	ADJ
esrj-100754	125	29	αij	αij	NOUN
esrj-100754	125	30	+	+	NOUN
esrj-100754	125	31	γi	γi	NOUN
esrj-100754	125	32	)	)	PUNCT
esrj-100754	125	33	between	between	ADP
esrj-100754	125	34	each	each	DET
esrj-100754	125	35	pair	pair	NOUN
esrj-100754	125	36	of	of	ADP
esrj-100754	125	37	points	point	NOUN
esrj-100754	125	38	.	.	PUNCT
esrj-100754	126	1	numerical	numerical	ADJ
esrj-100754	126	2	application	application	NOUN
esrj-100754	126	3	results	result	NOUN
esrj-100754	126	4	can	can	AUX
esrj-100754	126	5	be	be	AUX
esrj-100754	126	6	seen	see	VERB
esrj-100754	126	7	in	in	ADP
esrj-100754	126	8	table	table	NOUN
esrj-100754	126	9	3	3	NUM
esrj-100754	126	10	.	.	PUNCT
esrj-100754	126	11	table	table	NOUN
esrj-100754	126	12	3	3	NUM
esrj-100754	126	13	.	.	PUNCT
esrj-100754	127	1	the	the	DET
esrj-100754	127	2	bearing	bearing	NOUN
esrj-100754	127	3	and	and	CCONJ
esrj-100754	127	4	azimuth	azimuth	NOUN
esrj-100754	127	5	angles	angle	NOUN
esrj-100754	127	6	calculations	calculation	NOUN
esrj-100754	127	7	from	from	ADP
esrj-100754	127	8	direct	direct	ADJ
esrj-100754	127	9	formula	formula	NOUN
esrj-100754	127	10	φ1=	φ1=	ADV
esrj-100754	127	11	30.0	30.0	NUM
esrj-100754	127	12	λ1=	λ1=	NOUN
esrj-100754	127	13	30.5	30.5	NUM
esrj-100754	127	14	y1=	y1=	NOUN
esrj-100754	128	1	48141.1054	48141.1054	PROPN
esrj-100754	128	2	x1=	x1=	PROPN
esrj-100754	129	1	3335429.2308	3335429.2308	INTJ
esrj-100754	129	2	γ1=	γ1=	PROPN
esrj-100754	129	3	0.2500047597	0.2500047597	NUM
esrj-100754	129	4	φ2=	φ2=	VERB
esrj-100754	129	5	32.0	32.0	NUM
esrj-100754	129	6	λ2=	λ2=	PROPN
esrj-100754	129	7	31.0	31.0	NUM
esrj-100754	129	8	y2=	y2=	NOUN
esrj-100754	129	9	94282.5003	94282.5003	NUM
esrj-100754	129	10	x2=	x2=	X
esrj-100754	130	1	3558115.1919	3558115.1919	NUM
esrj-100754	130	2	γ2=	γ2=	NOUN
esrj-100754	130	3	0.5299579646	0.5299579646	NUM
esrj-100754	130	4	a12=	a12=	ADP
esrj-100754	130	5	11.9669826036	11.9669826036	NUM
esrj-100754	130	6	a21=192.2245420693	a21=192.2245420693	NUM
esrj-100754	130	7	α12=	α12=	PROPN
esrj-100754	130	8	11.7169778439	11.7169778439	NUM
esrj-100754	130	9	α21=191.6945841047	α21=191.6945841047	NUM
esrj-100754	130	10	a12	a12	NUM
esrj-100754	130	11	=	=	SYM
esrj-100754	130	12	α12+γ1=	α12+γ1=	NOUN
esrj-100754	130	13	11.9669826036	11.9669826036	NUM
esrj-100754	130	14	φ1=	φ1=	NUM
esrj-100754	130	15	30.0	30.0	NUM
esrj-100754	130	16	λ1=	λ1=	NOUN
esrj-100754	130	17	30.5	30.5	NUM
esrj-100754	130	18	y1=	y1=	NOUN
esrj-100754	131	1	48141.1054	48141.1054	PROPN
esrj-100754	131	2	x1=	x1=	PROPN
esrj-100754	132	1	3335429.2308	3335429.2308	INTJ
esrj-100754	132	2	γ1=	γ1=	PROPN
esrj-100754	132	3	0.2500047597	0.2500047597	NUM
esrj-100754	132	4	φ2=	φ2=	VERB
esrj-100754	132	5	29.0	29.0	NUM
esrj-100754	132	6	λ2=	λ2=	NOUN
esrj-100754	132	7	32.0	32.0	NUM
esrj-100754	132	8	y2=	y2=	NOUN
esrj-100754	132	9	194466.7324	194466.7324	PROPN
esrj-100754	132	10	x2=	x2=	PUNCT
esrj-100754	133	1	3225792.8907	3225792.8907	NUM
esrj-100754	133	2	γ2=	γ2=	NOUN
esrj-100754	133	3	0.9699205898	0.9699205898	PUNCT
esrj-100754	133	4	a12=127.0797659802	a12=127.0797659802	X
esrj-100754	134	1	a21=307.8184614062	a21=307.8184614062	NUM
esrj-100754	134	2	α12=126.8297612205	α12=126.8297612205	NUM
esrj-100754	134	3	α21=306.8485408164	α21=306.8485408164	NOUN
esrj-100754	134	4	a12	a12	NOUN
esrj-100754	134	5	=	=	NOUN
esrj-100754	134	6	α12+γ1=127.0797659802	α12+γ1=127.0797659802	NOUN
esrj-100754	134	7	φ1=	φ1=	ADV
esrj-100754	134	8	30.0	30.0	NUM
esrj-100754	134	9	λ1=	λ1=	NOUN
esrj-100754	134	10	30.5	30.5	NUM
esrj-100754	134	11	y1=	y1=	NOUN
esrj-100754	135	1	48141.1054	48141.1054	PROPN
esrj-100754	135	2	x1=	x1=	PROPN
esrj-100754	136	1	3335429.2308	3335429.2308	INTJ
esrj-100754	136	2	γ1=	γ1=	PROPN
esrj-100754	136	3	0.2500047597	0.2500047597	NUM
esrj-100754	136	4	φ2=	φ2=	VERB
esrj-100754	136	5	28.0	28.0	NUM
esrj-100754	136	6	λ2=	λ2=	NOUN
esrj-100754	136	7	29.0	29.0	NUM
esrj-100754	136	8	y2=	y2=	NOUN
esrj-100754	136	9	-98162.7839	-98162.7839	NOUN
esrj-100754	136	10	x2=	x2=	PROPN
esrj-100754	137	1	3113371.4602	3113371.4602	NUM
esrj-100754	137	2	γ2=	γ2=	PROPN
esrj-100754	137	3	-0.4695087290	-0.4695087290	PROPN
esrj-100754	137	4	a12=213.6299774554	a12=213.6299774554	CCONJ
esrj-100754	137	5	a21=	a21=	ADV
esrj-100754	137	6	32.9026204737	32.9026204737	NUM
esrj-100754	137	7	α12=213.3799726956	α12=213.3799726956	NUM
esrj-100754	137	8	α21=	α21=	NUM
esrj-100754	137	9	33.3721292026	33.3721292026	NUM
esrj-100754	137	10	a12	a12	NUM
esrj-100754	137	11	=	=	SYM
esrj-100754	137	12	α12+γ1=213.6299774554	α12+γ1=213.6299774554	NOUN
esrj-100754	137	13	φ1=	φ1=	ADV
esrj-100754	137	14	30.0	30.0	NUM
esrj-100754	137	15	λ1=	λ1=	NOUN
esrj-100754	137	16	30.5	30.5	NUM
esrj-100754	137	17	y1=	y1=	NOUN
esrj-100754	138	1	48141.1054	48141.1054	PROPN
esrj-100754	138	2	x1=	x1=	PROPN
esrj-100754	139	1	3335429.2308	3335429.2308	INTJ
esrj-100754	139	2	γ1=	γ1=	PROPN
esrj-100754	139	3	0.2500047597	0.2500047597	NUM
esrj-100754	139	4	φ2=	φ2=	VERB
esrj-100754	139	5	32.0	32.0	NUM
esrj-100754	139	6	λ2=	λ2=	PROPN
esrj-100754	139	7	29.0	29.0	NUM
esrj-100754	139	8	y2=	y2=	NOUN
esrj-100754	139	9	-94282.5003	-94282.5003	NOUN
esrj-100754	139	10	x2=	x2=	PROPN
esrj-100754	139	11	3558115.1919	3558115.1919	PROPN
esrj-100754	139	12	γ2=	γ2=	PROPN
esrj-100754	139	13	-0.5299579646	-0.5299579646	PROPN
esrj-100754	139	14	a12=327.6475721969	a12=327.6475721969	PUNCT
esrj-100754	139	15	a21=146.8748649794	a21=146.8748649794	PUNCT
esrj-100754	139	16	α12=327.3975674372	α12=327.3975674372	NUM
esrj-100754	139	17	α21=147.4048229439	α21=147.4048229439	NUM
esrj-100754	139	18	a12	a12	NUM
esrj-100754	139	19	=	=	SYM
esrj-100754	139	20	α12+γ1=327.6475721969	α12+γ1=327.6475721969	PROPN
esrj-100754	139	21	φ1=	φ1=	ADV
esrj-100754	139	22	30.0	30.0	NUM
esrj-100754	139	23	λ1=	λ1=	NOUN
esrj-100754	139	24	30.5	30.5	NUM
esrj-100754	139	25	y1=	y1=	NOUN
esrj-100754	140	1	48141.1054	48141.1054	PROPN
esrj-100754	140	2	x1=	x1=	PROPN
esrj-100754	141	1	3335429.2308	3335429.2308	INTJ
esrj-100754	141	2	γ1=	γ1=	PROPN
esrj-100754	141	3	0.2500047597	0.2500047597	NUM
esrj-100754	141	4	φ2=	φ2=	VERB
esrj-100754	141	5	30.0	30.0	NUM
esrj-100754	141	6	λ2=	λ2=	NOUN
esrj-100754	141	7	31.0	31.0	NUM
esrj-100754	141	8	y2=	y2=	NOUN
esrj-100754	141	9	96281.2941	96281.2941	NUM
esrj-100754	141	10	x2=	x2=	PUNCT
esrj-100754	142	1	3335744.3496	3335744.3496	NUM
esrj-100754	142	2	γ2=	γ2=	NOUN
esrj-100754	142	3	0.5000380801	0.5000380801	NUM
esrj-100754	142	4	a12=	a12=	ADP
esrj-100754	142	5	89.8749994050	89.8749994050	NUM
esrj-100754	142	6	a21=270.1250005950	a21=270.1250005950	ADJ
esrj-100754	142	7	α12=	α12=	PROPN
esrj-100754	142	8	89.6249946453	89.6249946453	NUM
esrj-100754	142	9	α21=269.6249625149	α21=269.6249625149	NUM
esrj-100754	142	10	a12	a12	NUM
esrj-100754	142	11	=	=	SYM
esrj-100754	142	12	α12+γ1=	α12+γ1=	NOUN
esrj-100754	142	13	89.8749994050	89.8749994050	NUM
esrj-100754	142	14	φ1=	φ1=	NUM
esrj-100754	142	15	0.0	0.0	NUM
esrj-100754	142	16	λ1=	λ1=	NOUN
esrj-100754	142	17	30.5	30.5	NUM
esrj-100754	142	18	y1=	y1=	PROPN
esrj-100754	142	19	55588.7367	55588.7367	PROPN
esrj-100754	142	20	x1=	x1=	PROPN
esrj-100754	142	21	0.0000	0.0000	NUM
esrj-100754	143	1	γ1=	γ1=	PROPN
esrj-100754	143	2	0.0000000000	0.0000000000	NUM
esrj-100754	143	3	φ2=	φ2=	VERB
esrj-100754	143	4	0.0	0.0	NUM
esrj-100754	143	5	λ2=	λ2=	NOUN
esrj-100754	143	6	32.0	32.0	NUM
esrj-100754	143	7	y2=	y2=	NOUN
esrj-100754	143	8	222354.9467	222354.9467	NUM
esrj-100754	143	9	x2=	x2=	NOUN
esrj-100754	144	1	0.0000	0.0000	NUM
esrj-100754	144	2	γ2=	γ2=	NOUN
esrj-100754	144	3	0.0000000000	0.0000000000	NUM
esrj-100754	144	4	a12=	a12=	ADP
esrj-100754	144	5	90.0000000000	90.0000000000	NUM
esrj-100754	144	6	a21=270.0000000000	a21=270.0000000000	NUM
esrj-100754	144	7	α12=	α12=	PROPN
esrj-100754	144	8	90.0000000000	90.0000000000	NUM
esrj-100754	144	9	α21=270.0000000000	α21=270.0000000000	NUM
esrj-100754	144	10	a12	a12	NOUN
esrj-100754	144	11	=	=	SYM
esrj-100754	144	12	α12+γ1=	α12+γ1=	NOUN
esrj-100754	144	13	90.0000000000	90.0000000000	NUM
esrj-100754	144	14	209rigorous	209rigorous	ADJ
esrj-100754	144	15	spherical	spherical	ADJ
esrj-100754	144	16	bearing	bearing	NOUN
esrj-100754	144	17	with	with	ADP
esrj-100754	144	18	soldner	soldner	NOUN
esrj-100754	144	19	coordinates	coordinate	NOUN
esrj-100754	144	20	and	and	CCONJ
esrj-100754	144	21	azimuth	azimuth	NOUN
esrj-100754	144	22	angles	angle	NOUN
esrj-100754	144	23	on	on	ADP
esrj-100754	144	24	sphere	sphere	NOUN
esrj-100754	144	25	φ1	φ1	NOUN
esrj-100754	144	26	=	=	PUNCT
esrj-100754	144	27	30.0	30.0	NUM
esrj-100754	144	28	λ1=	λ1=	PROPN
esrj-100754	144	29	30.5	30.5	NUM
esrj-100754	144	30	y1=	y1=	NOUN
esrj-100754	145	1	48141.1054	48141.1054	PROPN
esrj-100754	145	2	x1=	x1=	PROPN
esrj-100754	146	1	3335429.2308	3335429.2308	INTJ
esrj-100754	146	2	γ1=	γ1=	PROPN
esrj-100754	146	3	0.2500047597	0.2500047597	NUM
esrj-100754	146	4	φ2	φ2	NOUN
esrj-100754	146	5	=	=	NOUN
esrj-100754	146	6	29.0	29.0	NUM
esrj-100754	146	7	λ2=	λ2=	NOUN
esrj-100754	146	8	30.5	30.5	NUM
esrj-100754	146	9	y2=	y2=	NOUN
esrj-100754	146	10	48618.8595	48618.8595	NUM
esrj-100754	146	11	x2=	x2=	PUNCT
esrj-100754	147	1	3224249.5773	3224249.5773	NUM
esrj-100754	147	2	γ2=	γ2=	NOUN
esrj-100754	147	3	0.2424095173	0.2424095173	NUM
esrj-100754	147	4	a12=180.0000000000	a12=180.0000000000	NUM
esrj-100754	147	5	a21=360.0000000000	a21=360.0000000000	NUM
esrj-100754	147	6	α12=179.7499952403	α12=179.7499952403	NUM
esrj-100754	147	7	α21=359.7575904827	α21=359.7575904827	NUM
esrj-100754	147	8	a12	a12	NUM
esrj-100754	147	9	=	=	SYM
esrj-100754	147	10	α12+γ1=180.0000000000	α12+γ1=180.0000000000	NUM
esrj-100754	147	11	φ1	φ1	NOUN
esrj-100754	147	12	=	=	PUNCT
esrj-100754	147	13	30.0	30.0	NUM
esrj-100754	147	14	λ1=	λ1=	NOUN
esrj-100754	147	15	0.0	0.0	NUM
esrj-100754	147	16	y1=	y1=	PROPN
esrj-100754	147	17	-2852692.3684	-2852692.3684	PROPN
esrj-100754	147	18	x1=	x1=	PROPN
esrj-100754	147	19	3745576.5846	3745576.5846	PROPN
esrj-100754	147	20	γ1=-16.1021137520	γ1=-16.1021137520	PROPN
esrj-100754	147	21	φ2	φ2	NOUN
esrj-100754	147	22	=	=	NOUN
esrj-100754	147	23	29.0	29.0	NUM
esrj-100754	147	24	λ2=	λ2=	NOUN
esrj-100754	147	25	0.0	0.0	NUM
esrj-100754	147	26	y2=	y2=	NOUN
esrj-100754	147	27	-2883094.7939	-2883094.7939	NOUN
esrj-100754	147	28	x2=	x2=	PROPN
esrj-100754	148	1	3626800.4993	3626800.4993	PRON
esrj-100754	148	2	γ2=-15.6371970759	γ2=-15.6371970759	VERB
esrj-100754	148	3	a12=180.0000000000	a12=180.0000000000	NUM
esrj-100754	148	4	a21=360.0000000000	a21=360.0000000000	NUM
esrj-100754	148	5	α12=196.1021137520	α12=196.1021137520	NUM
esrj-100754	148	6	α21=	α21=	NUM
esrj-100754	148	7	15.6371970759	15.6371970759	NUM
esrj-100754	148	8	a12	a12	NOUN
esrj-100754	148	9	=	=	SYM
esrj-100754	148	10	α12+γ1=180.0000000000	α12+γ1=180.0000000000	NOUN
esrj-100754	148	11	φ1=	φ1=	NUM
esrj-100754	148	12	30.0	30.0	NUM
esrj-100754	148	13	λ1=	λ1=	NOUN
esrj-100754	148	14	-30.5	-30.5	NUM
esrj-100754	148	15	y1=	y1=	PROPN
esrj-100754	148	16	-48141.1054	-48141.1054	PROPN
esrj-100754	149	1	x1=	x1=	PROPN
esrj-100754	150	1	3335429.2308	3335429.2308	INTJ
esrj-100754	150	2	γ1=	γ1=	PROPN
esrj-100754	150	3	-0.2500047597	-0.2500047597	NOUN
esrj-100754	150	4	φ2=	φ2=	VERB
esrj-100754	150	5	32.0	32.0	NUM
esrj-100754	150	6	λ2=	λ2=	PROPN
esrj-100754	150	7	-31.0	-31.0	PART
esrj-100754	150	8	y2=	y2=	PROPN
esrj-100754	150	9	-94282.5003	-94282.5003	NOUN
esrj-100754	150	10	x2=	x2=	PROPN
esrj-100754	150	11	3558115.1919	3558115.1919	PROPN
esrj-100754	150	12	γ2=	γ2=	PROPN
esrj-100754	150	13	-0.5299579646	-0.5299579646	PROPN
esrj-100754	150	14	a12=348.0330173964	a12=348.0330173964	PUNCT
esrj-100754	150	15	a21=167.7754579307	a21=167.7754579307	NUM
esrj-100754	150	16	α12=348.2830221561	α12=348.2830221561	NUM
esrj-100754	150	17	α21=168.3054158953	α21=168.3054158953	NUM
esrj-100754	150	18	a12	a12	NOUN
esrj-100754	150	19	=	=	NOUN
esrj-100754	150	20	α12+γ1=348.0330173964	α12+γ1=348.0330173964	NOUN
esrj-100754	150	21	φ1=	φ1=	NUM
esrj-100754	150	22	30.0	30.0	NUM
esrj-100754	150	23	λ1=	λ1=	NOUN
esrj-100754	150	24	-30.5	-30.5	NUM
esrj-100754	150	25	y1=	y1=	PROPN
esrj-100754	150	26	-48141.1054	-48141.1054	PROPN
esrj-100754	151	1	x1=	x1=	PROPN
esrj-100754	152	1	3335429.2308	3335429.2308	INTJ
esrj-100754	152	2	γ1=	γ1=	PROPN
esrj-100754	152	3	-0.2500047597	-0.2500047597	NOUN
esrj-100754	152	4	φ2=	φ2=	VERB
esrj-100754	152	5	29.0	29.0	NUM
esrj-100754	152	6	λ2=	λ2=	NOUN
esrj-100754	152	7	-32.0	-32.0	X
esrj-100754	152	8	y2=	y2=	NOUN
esrj-100754	152	9	-194466.7324	-194466.7324	ADP
esrj-100754	152	10	x2=	x2=	PROPN
esrj-100754	153	1	3225792.8907	3225792.8907	NUM
esrj-100754	153	2	γ2=	γ2=	PROPN
esrj-100754	153	3	-0.9699205898	-0.9699205898	NOUN
esrj-100754	153	4	a12=232.9202340198	a12=232.9202340198	NUM
esrj-100754	153	5	a21=	a21=	ADP
esrj-100754	153	6	52.1815385938	52.1815385938	NUM
esrj-100754	153	7	α12=233.1702387795	α12=233.1702387795	NUM
esrj-100754	153	8	α21=	α21=	NUM
esrj-100754	153	9	53.1514591836	53.1514591836	NUM
esrj-100754	153	10	a12	a12	NOUN
esrj-100754	153	11	=	=	SYM
esrj-100754	153	12	α12+γ1=232.9202340198	α12+γ1=232.9202340198	NOUN
esrj-100754	153	13	φ1=	φ1=	ADV
esrj-100754	153	14	30.0	30.0	NUM
esrj-100754	153	15	λ1=	λ1=	NOUN
esrj-100754	153	16	-30.5	-30.5	NUM
esrj-100754	153	17	y1=	y1=	PROPN
esrj-100754	154	1	-48141.1054	-48141.1054	PROPN
esrj-100754	155	1	x1=	x1=	PROPN
esrj-100754	156	1	3335429.2308	3335429.2308	INTJ
esrj-100754	156	2	γ1=	γ1=	PROPN
esrj-100754	156	3	-0.2500047597	-0.2500047597	NOUN
esrj-100754	156	4	φ2=	φ2=	VERB
esrj-100754	156	5	28.0	28.0	NUM
esrj-100754	156	6	λ2=	λ2=	NOUN
esrj-100754	156	7	-29.0	-29.0	X
esrj-100754	156	8	y2=	y2=	PROPN
esrj-100754	156	9	98162.7839	98162.7839	NUM
esrj-100754	156	10	x2=	x2=	PUNCT
esrj-100754	157	1	3113371.4602	3113371.4602	NUM
esrj-100754	157	2	γ2=	γ2=	NOUN
esrj-100754	157	3	0.4695087290	0.4695087290	NUM
esrj-100754	157	4	a12=146.3700225446	a12=146.3700225446	X
esrj-100754	157	5	a21=327.0973795263	a21=327.0973795263	PUNCT
esrj-100754	157	6	α12=146.6200273044	α12=146.6200273044	NUM
esrj-100754	157	7	α21=326.6278707973	α21=326.6278707973	NUM
esrj-100754	157	8	a12	a12	NOUN
esrj-100754	157	9	=	=	SYM
esrj-100754	157	10	α12+γ1=146.3700225446	α12+γ1=146.3700225446	NOUN
esrj-100754	157	11	φ1=	φ1=	ADV
esrj-100754	157	12	30.0	30.0	NUM
esrj-100754	157	13	λ1=	λ1=	NOUN
esrj-100754	157	14	-30.5	-30.5	NUM
esrj-100754	157	15	y1=	y1=	PROPN
esrj-100754	157	16	-48141.1054	-48141.1054	PROPN
esrj-100754	158	1	x1=	x1=	PROPN
esrj-100754	159	1	3335429.2308	3335429.2308	INTJ
esrj-100754	159	2	γ1=	γ1=	PROPN
esrj-100754	159	3	-0.2500047597	-0.2500047597	NOUN
esrj-100754	159	4	φ2=	φ2=	VERB
esrj-100754	159	5	32.0	32.0	NUM
esrj-100754	159	6	λ2=	λ2=	PROPN
esrj-100754	159	7	-29.0	-29.0	X
esrj-100754	159	8	y2=	y2=	PROPN
esrj-100754	159	9	94282.5003	94282.5003	NUM
esrj-100754	159	10	x2=	x2=	X
esrj-100754	160	1	3558115.1919	3558115.1919	NUM
esrj-100754	160	2	γ2=	γ2=	NOUN
esrj-100754	160	3	0.5299579646	0.5299579646	NUM
esrj-100754	160	4	a12=	a12=	ADP
esrj-100754	160	5	32.3524278031	32.3524278031	NUM
esrj-100754	160	6	a21=213.1251350206	a21=213.1251350206	X
esrj-100754	160	7	α12=	α12=	PROPN
esrj-100754	160	8	32.6024325628	32.6024325628	NUM
esrj-100754	160	9	α21=212.5951770561	α21=212.5951770561	NUM
esrj-100754	160	10	a12	a12	NOUN
esrj-100754	160	11	=	=	SYM
esrj-100754	160	12	α12+γ1=	α12+γ1=	NOUN
esrj-100754	160	13	32.3524278031	32.3524278031	NUM
esrj-100754	160	14	φ1=	φ1=	PROPN
esrj-100754	160	15	-30.0	-30.0	NOUN
esrj-100754	160	16	λ1=	λ1=	NOUN
esrj-100754	160	17	30.5	30.5	NUM
esrj-100754	160	18	y1=	y1=	NOUN
esrj-100754	160	19	48141.1054	48141.1054	PROPN
esrj-100754	160	20	x1=	x1=	PROPN
esrj-100754	160	21	-3335429.2308	-3335429.2308	PROPN
esrj-100754	160	22	γ1=	γ1=	PROPN
esrj-100754	160	23	-0.2500047597	-0.2500047597	NOUN
esrj-100754	160	24	φ2=	φ2=	VERB
esrj-100754	160	25	-32.0	-32.0	PUNCT
esrj-100754	160	26	λ2=	λ2=	PROPN
esrj-100754	160	27	31.0	31.0	NUM
esrj-100754	160	28	y2=	y2=	NOUN
esrj-100754	160	29	94282.5003	94282.5003	NUM
esrj-100754	160	30	x2=	x2=	PUNCT
esrj-100754	160	31	-3558115.1919	-3558115.1919	PROPN
esrj-100754	160	32	γ2=	γ2=	PROPN
esrj-100754	160	33	-0.5299579646	-0.5299579646	PROPN
esrj-100754	160	34	a12=168.0330173964	a12=168.0330173964	NUM
esrj-100754	160	35	a21=347.7754579307	a21=347.7754579307	NUM
esrj-100754	160	36	α12=168.2830221561	α12=168.2830221561	NUM
esrj-100754	160	37	α21=348.3054158953	α21=348.3054158953	NUM
esrj-100754	160	38	a12	a12	NOUN
esrj-100754	160	39	=	=	SYM
esrj-100754	160	40	α12	α12	PROPN
esrj-100754	160	41	+	+	X
esrj-100754	160	42	γ1=168.0330173964	γ1=168.0330173964	ADJ
esrj-100754	160	43	φ1=	φ1=	PROPN
esrj-100754	160	44	-30.0	-30.0	NOUN
esrj-100754	160	45	λ1=	λ1=	PROPN
esrj-100754	160	46	30.5	30.5	NUM
esrj-100754	160	47	y1=	y1=	NOUN
esrj-100754	160	48	48141.1054	48141.1054	PROPN
esrj-100754	160	49	x1=	x1=	PROPN
esrj-100754	160	50	-3335429.2308	-3335429.2308	PROPN
esrj-100754	160	51	γ1=	γ1=	PROPN
esrj-100754	160	52	-0.2500047597	-0.2500047597	NOUN
esrj-100754	160	53	φ2=	φ2=	VERB
esrj-100754	160	54	-29.0	-29.0	X
esrj-100754	160	55	λ2=	λ2=	NOUN
esrj-100754	160	56	32.0	32.0	NUM
esrj-100754	160	57	y2=	y2=	NOUN
esrj-100754	161	1	194466.7324	194466.7324	PROPN
esrj-100754	161	2	x2=	x2=	PUNCT
esrj-100754	161	3	-3225792.8907	-3225792.8907	PUNCT
esrj-100754	162	1	γ2=	γ2=	PROPN
esrj-100754	162	2	-0.9699205898	-0.9699205898	PROPN
esrj-100754	163	1	a12=	a12=	ADP
esrj-100754	163	2	52.9202340198	52.9202340198	NUM
esrj-100754	163	3	a21=232.1815385938	a21=232.1815385938	CCONJ
esrj-100754	163	4	α12=	α12=	PROPN
esrj-100754	163	5	53.1702387795	53.1702387795	NUM
esrj-100754	163	6	α21=233.1514591836	α21=233.1514591836	NUM
esrj-100754	163	7	a12	a12	NOUN
esrj-100754	163	8	=	=	SYM
esrj-100754	163	9	α12	α12	PROPN
esrj-100754	163	10	+	+	NOUN
esrj-100754	163	11	γ1=	γ1=	PROPN
esrj-100754	163	12	52.9202340198	52.9202340198	NUM
esrj-100754	163	13	φ1=	φ1=	PROPN
esrj-100754	163	14	-30.0	-30.0	NOUN
esrj-100754	163	15	λ1=	λ1=	NOUN
esrj-100754	163	16	30.5	30.5	NUM
esrj-100754	163	17	y1=	y1=	NOUN
esrj-100754	163	18	48141.1054	48141.1054	PROPN
esrj-100754	163	19	x1=	x1=	PROPN
esrj-100754	163	20	-3335429.2308	-3335429.2308	PROPN
esrj-100754	163	21	γ1=	γ1=	PROPN
esrj-100754	163	22	-0.2500047597	-0.2500047597	NOUN
esrj-100754	163	23	φ2=	φ2=	VERB
esrj-100754	163	24	-28.0	-28.0	INTJ
esrj-100754	163	25	λ2=	λ2=	PROPN
esrj-100754	163	26	29.0	29.0	NUM
esrj-100754	163	27	y2=	y2=	NOUN
esrj-100754	163	28	-98162.7839	-98162.7839	NOUN
esrj-100754	163	29	x2=	x2=	PROPN
esrj-100754	163	30	-3113371.4602	-3113371.4602	PROPN
esrj-100754	163	31	gam2=	gam2=	PROPN
esrj-100754	163	32	0.4695087290	0.4695087290	NUM
esrj-100754	163	33	a12=326.3700225446	a12=326.3700225446	NUM
esrj-100754	163	34	a21=147.0973795263	a21=147.0973795263	PUNCT
esrj-100754	163	35	α12=326.6200273044	α12=326.6200273044	NUM
esrj-100754	163	36	α21=146.6278707973	α21=146.6278707973	NUM
esrj-100754	163	37	a12	a12	NOUN
esrj-100754	163	38	=	=	SYM
esrj-100754	163	39	α12	α12	ADJ
esrj-100754	163	40	+	+	SYM
esrj-100754	163	41	γ1=326.3700225446	γ1=326.3700225446	NOUN
esrj-100754	163	42	φ1=	φ1=	NUM
esrj-100754	163	43	-30.0	-30.0	NOUN
esrj-100754	163	44	λ1=	λ1=	NOUN
esrj-100754	163	45	30.5	30.5	NUM
esrj-100754	163	46	y1=	y1=	NOUN
esrj-100754	163	47	48141.1054	48141.1054	PROPN
esrj-100754	163	48	x1=	x1=	PROPN
esrj-100754	163	49	-3335429.2308	-3335429.2308	PROPN
esrj-100754	163	50	γ1=	γ1=	PROPN
esrj-100754	163	51	-0.2500047597	-0.2500047597	NOUN
esrj-100754	163	52	φ2=	φ2=	VERB
esrj-100754	163	53	-32.0	-32.0	PUNCT
esrj-100754	163	54	λ2=	λ2=	PROPN
esrj-100754	163	55	29.0	29.0	NUM
esrj-100754	163	56	y2=	y2=	NOUN
esrj-100754	163	57	-94282.5003	-94282.5003	NOUN
esrj-100754	163	58	x2=	x2=	PROPN
esrj-100754	164	1	-3558115.1919	-3558115.1919	PROPN
esrj-100754	165	1	γ2=	γ2=	NOUN
esrj-100754	165	2	0.5299579646	0.5299579646	NUM
esrj-100754	165	3	a12=212.3524278031	a12=212.3524278031	PUNCT
esrj-100754	165	4	a21=	a21=	ADP
esrj-100754	165	5	33.1251350206	33.1251350206	NUM
esrj-100754	165	6	α12=212.6024325628	α12=212.6024325628	NUM
esrj-100754	165	7	α21=	α21=	NUM
esrj-100754	165	8	32.5951770561	32.5951770561	NUM
esrj-100754	165	9	a12	a12	NOUN
esrj-100754	165	10	=	=	SYM
esrj-100754	165	11	α12	α12	PROPN
esrj-100754	165	12	+	+	CCONJ
esrj-100754	165	13	γ1=212.3524278031	γ1=212.3524278031	NOUN
esrj-100754	165	14	φ1=	φ1=	PRON
esrj-100754	165	15	-30.0	-30.0	NOUN
esrj-100754	165	16	λ1=	λ1=	PROPN
esrj-100754	165	17	-30.5	-30.5	NUM
esrj-100754	165	18	y1=	y1=	PROPN
esrj-100754	165	19	-48141.1054	-48141.1054	PROPN
esrj-100754	166	1	x1=	x1=	PROPN
esrj-100754	166	2	-3335429.2308	-3335429.2308	PROPN
esrj-100754	167	1	γ1=	γ1=	PROPN
esrj-100754	167	2	0.2500047597	0.2500047597	NUM
esrj-100754	167	3	φ2=	φ2=	VERB
esrj-100754	167	4	-32.0	-32.0	PUNCT
esrj-100754	167	5	λ2=	λ2=	PROPN
esrj-100754	167	6	-31.0	-31.0	PART
esrj-100754	167	7	y2=	y2=	PROPN
esrj-100754	167	8	-94282.5003	-94282.5003	NOUN
esrj-100754	167	9	x2=	x2=	PROPN
esrj-100754	167	10	-3558115.1919	-3558115.1919	PROPN
esrj-100754	167	11	γ2=	γ2=	NOUN
esrj-100754	167	12	0.5299579646	0.5299579646	NUM
esrj-100754	167	13	a12=191.9669826036	a12=191.9669826036	X
esrj-100754	167	14	a21=	a21=	PRON
esrj-100754	167	15	12.2245420693	12.2245420693	NUM
esrj-100754	167	16	α12=191.7169778439	α12=191.7169778439	NUM
esrj-100754	167	17	α21=	α21=	NUM
esrj-100754	167	18	11.6945841047	11.6945841047	NUM
esrj-100754	167	19	a12	a12	NOUN
esrj-100754	167	20	=	=	SYM
esrj-100754	167	21	α12	α12	NOUN
esrj-100754	167	22	+	+	CCONJ
esrj-100754	167	23	γ1=191.9669826036	γ1=191.9669826036	NOUN
esrj-100754	167	24	φ1=	φ1=	NUM
esrj-100754	167	25	-30.0	-30.0	NOUN
esrj-100754	167	26	λ1=	λ1=	PROPN
esrj-100754	167	27	-30.5	-30.5	NUM
esrj-100754	167	28	y1=	y1=	PROPN
esrj-100754	167	29	-48141.1054	-48141.1054	PROPN
esrj-100754	168	1	x1=	x1=	PROPN
esrj-100754	168	2	-3335429.2308	-3335429.2308	PROPN
esrj-100754	169	1	γ1=	γ1=	PROPN
esrj-100754	169	2	0.2500047597	0.2500047597	NUM
esrj-100754	169	3	φ2=	φ2=	VERB
esrj-100754	169	4	-29.0	-29.0	PUNCT
esrj-100754	169	5	λ2=	λ2=	PROPN
esrj-100754	169	6	-32.0	-32.0	X
esrj-100754	169	7	y2=	y2=	NOUN
esrj-100754	169	8	-194466.7324	-194466.7324	ADP
esrj-100754	169	9	x2=	x2=	PROPN
esrj-100754	169	10	-3225792.8907	-3225792.8907	PUNCT
esrj-100754	170	1	γ2=	γ2=	NOUN
esrj-100754	170	2	0.9699205898	0.9699205898	NUM
esrj-100754	170	3	a12=307.0797659802	a12=307.0797659802	PUNCT
esrj-100754	170	4	a21=127.8184614062	a21=127.8184614062	X
esrj-100754	170	5	α12=306.8297612205	α12=306.8297612205	NUM
esrj-100754	170	6	α21=126.8485408164	α21=126.8485408164	NUM
esrj-100754	170	7	a12	a12	NOUN
esrj-100754	170	8	=	=	SYM
esrj-100754	170	9	α12	α12	NOUN
esrj-100754	170	10	+	+	CCONJ
esrj-100754	170	11	γ1=307.0797659802	γ1=307.0797659802	PROPN
esrj-100754	170	12	φ1=	φ1=	PROPN
esrj-100754	170	13	-30.0	-30.0	NOUN
esrj-100754	170	14	λ1=	λ1=	PROPN
esrj-100754	170	15	-30.5	-30.5	NUM
esrj-100754	170	16	y1=	y1=	PROPN
esrj-100754	170	17	-48141.1054	-48141.1054	PROPN
esrj-100754	171	1	x1=	x1=	PROPN
esrj-100754	171	2	-3335429.2308	-3335429.2308	PROPN
esrj-100754	172	1	γ1=	γ1=	PROPN
esrj-100754	172	2	0.2500047597	0.2500047597	NUM
esrj-100754	172	3	φ2=	φ2=	VERB
esrj-100754	172	4	-28.0	-28.0	INTJ
esrj-100754	172	5	λ2=	λ2=	PROPN
esrj-100754	172	6	-29.0	-29.0	X
esrj-100754	172	7	y2=	y2=	PROPN
esrj-100754	172	8	98162.7839	98162.7839	NUM
esrj-100754	172	9	x2=	x2=	X
esrj-100754	172	10	-3113371.4602	-3113371.4602	PUNCT
esrj-100754	173	1	γ2=	γ2=	NOUN
esrj-100754	173	2	-0.4695087290	-0.4695087290	NOUN
esrj-100754	174	1	a12=	a12=	ADV
esrj-100754	174	2	33.6299774554	33.6299774554	NUM
esrj-100754	174	3	a21=212.9026204737	a21=212.9026204737	NUM
esrj-100754	174	4	α12=	α12=	PROPN
esrj-100754	174	5	33.3799726956	33.3799726956	NUM
esrj-100754	174	6	α21=213.3721292026	α21=213.3721292026	NUM
esrj-100754	174	7	a12	a12	NUM
esrj-100754	174	8	=	=	SYM
esrj-100754	174	9	α12	α12	PROPN
esrj-100754	174	10	+	+	CCONJ
esrj-100754	174	11	γ1=	γ1=	PROPN
esrj-100754	174	12	33.6299774554	33.6299774554	NUM
esrj-100754	174	13	φ1=	φ1=	PROPN
esrj-100754	174	14	-30.0	-30.0	NOUN
esrj-100754	174	15	λ1=	λ1=	PROPN
esrj-100754	174	16	-30.5	-30.5	NUM
esrj-100754	174	17	y1=	y1=	PROPN
esrj-100754	174	18	-48141.1054	-48141.1054	PROPN
esrj-100754	175	1	x1=	x1=	PROPN
esrj-100754	175	2	-3335429.2308	-3335429.2308	PROPN
esrj-100754	176	1	γ1=	γ1=	PROPN
esrj-100754	176	2	0.2500047597	0.2500047597	NUM
esrj-100754	176	3	φ2=	φ2=	VERB
esrj-100754	176	4	-32.0	-32.0	PUNCT
esrj-100754	176	5	λ2=	λ2=	PROPN
esrj-100754	176	6	-29.0	-29.0	X
esrj-100754	176	7	y2=	y2=	PROPN
esrj-100754	176	8	94282.5003	94282.5003	NUM
esrj-100754	176	9	x2=	x2=	PUNCT
esrj-100754	176	10	-3558115.1919	-3558115.1919	PROPN
esrj-100754	176	11	γ2=	γ2=	PROPN
esrj-100754	176	12	-0.5299579646	-0.5299579646	PROPN
esrj-100754	176	13	a12=147.6475721969	a12=147.6475721969	PUNCT
esrj-100754	176	14	a21=326.8748649794	a21=326.8748649794	NUM
esrj-100754	176	15	α12=147.3975674372	α12=147.3975674372	NUM
esrj-100754	176	16	α21=327.4048229439	α21=327.4048229439	NUM
esrj-100754	176	17	a12	a12	NOUN
esrj-100754	176	18	=	=	SYM
esrj-100754	176	19	α12	α12	PROPN
esrj-100754	176	20	+	+	PROPN
esrj-100754	176	21	γ1=147.6475721969	γ1=147.6475721969	PROPN
esrj-100754	176	22	210	210	NUM
esrj-100754	176	23	sebahattin	sebahattin	NOUN
esrj-100754	176	24	bektaş	bektaş	NOUN
esrj-100754	176	25	5	5	NUM
esrj-100754	176	26	.	.	PUNCT
esrj-100754	176	27	results	result	NOUN
esrj-100754	176	28	and	and	CCONJ
esrj-100754	176	29	discussion	discussion	NOUN
esrj-100754	176	30	in	in	ADP
esrj-100754	176	31	this	this	DET
esrj-100754	176	32	study	study	NOUN
esrj-100754	176	33	,	,	PUNCT
esrj-100754	176	34	formulas	formula	NOUN
esrj-100754	176	35	are	be	AUX
esrj-100754	176	36	given	give	VERB
esrj-100754	176	37	for	for	ADP
esrj-100754	176	38	how	how	SCONJ
esrj-100754	176	39	to	to	PART
esrj-100754	176	40	obtain	obtain	VERB
esrj-100754	176	41	the	the	DET
esrj-100754	176	42	bearing	bearing	NOUN
esrj-100754	176	43	and	and	CCONJ
esrj-100754	176	44	the	the	DET
esrj-100754	176	45	azimuth	azimuth	NOUN
esrj-100754	176	46	angle	angle	NOUN
esrj-100754	176	47	directly	directly	ADV
esrj-100754	176	48	without	without	ADP
esrj-100754	176	49	any	any	DET
esrj-100754	176	50	examination	examination	NOUN
esrj-100754	176	51	.	.	PUNCT
esrj-100754	177	1	the	the	DET
esrj-100754	177	2	numerical	numerical	ADJ
esrj-100754	177	3	examples	example	NOUN
esrj-100754	177	4	also	also	ADV
esrj-100754	177	5	show	show	VERB
esrj-100754	177	6	no	no	DET
esrj-100754	177	7	loss	loss	NOUN
esrj-100754	177	8	of	of	ADP
esrj-100754	177	9	precision	precision	NOUN
esrj-100754	177	10	in	in	ADP
esrj-100754	177	11	the	the	DET
esrj-100754	177	12	use	use	NOUN
esrj-100754	177	13	of	of	ADP
esrj-100754	177	14	direct	direct	ADJ
esrj-100754	177	15	formulas	formula	NOUN
esrj-100754	177	16	.	.	PUNCT
esrj-100754	178	1	it	it	PRON
esrj-100754	178	2	has	have	AUX
esrj-100754	178	3	been	be	AUX
esrj-100754	178	4	observed	observe	VERB
esrj-100754	178	5	that	that	SCONJ
esrj-100754	178	6	the	the	DET
esrj-100754	178	7	classical	classical	ADJ
esrj-100754	178	8	formulas	formula	NOUN
esrj-100754	178	9	(	(	PUNCT
esrj-100754	178	10	equations	equation	NOUN
esrj-100754	178	11	1	1	NUM
esrj-100754	178	12	,	,	PUNCT
esrj-100754	178	13	2	2	NUM
esrj-100754	178	14	,	,	PUNCT
esrj-100754	178	15	14	14	NUM
esrj-100754	178	16	,	,	PUNCT
esrj-100754	178	17	and	and	CCONJ
esrj-100754	178	18	15	15	NUM
esrj-100754	178	19	)	)	PUNCT
esrj-100754	178	20	and	and	CCONJ
esrj-100754	178	21	the	the	DET
esrj-100754	178	22	formulas	formula	NOUN
esrj-100754	178	23	we	we	PRON
esrj-100754	178	24	propose	propose	VERB
esrj-100754	178	25	(	(	PUNCT
esrj-100754	178	26	equations	equation	NOUN
esrj-100754	178	27	6	6	NUM
esrj-100754	178	28	,	,	PUNCT
esrj-100754	178	29	7	7	NUM
esrj-100754	178	30	,	,	PUNCT
esrj-100754	178	31	20	20	NUM
esrj-100754	178	32	,	,	PUNCT
esrj-100754	178	33	and	and	CCONJ
esrj-100754	178	34	21	21	NUM
esrj-100754	178	35	)	)	PUNCT
esrj-100754	178	36	give	give	VERB
esrj-100754	178	37	the	the	DET
esrj-100754	178	38	same	same	ADJ
esrj-100754	178	39	results	result	NOUN
esrj-100754	178	40	in	in	ADP
esrj-100754	178	41	the	the	DET
esrj-100754	178	42	calculations	calculation	NOUN
esrj-100754	178	43	made	make	VERB
esrj-100754	178	44	with	with	ADP
esrj-100754	178	45	ten	ten	NUM
esrj-100754	178	46	digits	digit	NOUN
esrj-100754	178	47	after	after	ADP
esrj-100754	178	48	the	the	DET
esrj-100754	178	49	decimal	decimal	ADJ
esrj-100754	178	50	point	point	NOUN
esrj-100754	178	51	.	.	PUNCT
esrj-100754	179	1	it	it	PRON
esrj-100754	179	2	is	be	AUX
esrj-100754	179	3	suggested	suggest	VERB
esrj-100754	179	4	to	to	PART
esrj-100754	179	5	use	use	VERB
esrj-100754	179	6	equations	equation	NOUN
esrj-100754	179	7	8	8	NUM
esrj-100754	179	8	,	,	PUNCT
esrj-100754	179	9	9	9	NUM
esrj-100754	179	10	,	,	PUNCT
esrj-100754	179	11	22	22	NUM
esrj-100754	179	12	,	,	PUNCT
esrj-100754	179	13	and	and	CCONJ
esrj-100754	179	14	23	23	NUM
esrj-100754	179	15	)	)	PUNCT
esrj-100754	179	16	to	to	PART
esrj-100754	179	17	avoid	avoid	VERB
esrj-100754	179	18	division	division	NOUN
esrj-100754	179	19	by	by	ADP
esrj-100754	179	20	zero	zero	NUM
esrj-100754	179	21	error	error	NOUN
esrj-100754	179	22	.	.	PUNCT
esrj-100754	180	1	the	the	DET
esrj-100754	180	2	advantage	advantage	NOUN
esrj-100754	180	3	of	of	ADP
esrj-100754	180	4	the	the	DET
esrj-100754	180	5	method	method	NOUN
esrj-100754	180	6	is	be	AUX
esrj-100754	180	7	that	that	SCONJ
esrj-100754	180	8	no	no	DET
esrj-100754	180	9	examination	examination	NOUN
esrj-100754	180	10	is	be	AUX
esrj-100754	180	11	required	require	VERB
esrj-100754	180	12	.	.	PUNCT
esrj-100754	181	1	in	in	ADP
esrj-100754	181	2	computer	computer	NOUN
esrj-100754	181	3	calculations	calculation	NOUN
esrj-100754	181	4	,	,	PUNCT
esrj-100754	181	5	if	if	SCONJ
esrj-100754	181	6	…	…	PUNCT
esrj-100754	181	7	,	,	PUNCT
esrj-100754	181	8	then	then	ADV
esrj-100754	181	9	...	...	PUNCT
esrj-100754	181	10	,	,	PUNCT
esrj-100754	181	11	end	end	NOUN
esrj-100754	181	12	…	…	PUNCT
esrj-100754	181	13	,	,	PUNCT
esrj-100754	181	14	blocks	block	NOUN
esrj-100754	181	15	are	be	AUX
esrj-100754	181	16	not	not	PART
esrj-100754	181	17	used	use	VERB
esrj-100754	181	18	when	when	SCONJ
esrj-100754	181	19	direct	direct	ADJ
esrj-100754	181	20	formulas	formula	NOUN
esrj-100754	181	21	are	be	AUX
esrj-100754	181	22	used	use	VERB
esrj-100754	181	23	.	.	PUNCT
esrj-100754	182	1	the	the	DET
esrj-100754	182	2	if	if	NOUN
esrj-100754	182	3	...	...	PUNCT
esrj-100754	182	4	,	,	PUNCT
esrj-100754	182	5	then	then	ADV
esrj-100754	182	6	…	…	PUNCT
esrj-100754	182	7	,	,	PUNCT
esrj-100754	182	8	end	end	NOUN
esrj-100754	182	9	…	…	PUNCT
esrj-100754	182	10	,	,	PUNCT
esrj-100754	182	11	blocks	block	NOUN
esrj-100754	182	12	reduce	reduce	VERB
esrj-100754	182	13	the	the	DET
esrj-100754	182	14	execution	execution	NOUN
esrj-100754	182	15	speed	speed	NOUN
esrj-100754	182	16	in	in	ADP
esrj-100754	182	17	computer	computer	NOUN
esrj-100754	182	18	calculations	calculation	NOUN
esrj-100754	182	19	.	.	PUNCT
esrj-100754	183	1	the	the	DET
esrj-100754	183	2	classical	classical	ADJ
esrj-100754	183	3	formulas	formula	NOUN
esrj-100754	183	4	and	and	CCONJ
esrj-100754	183	5	the	the	DET
esrj-100754	183	6	direct	direct	ADJ
esrj-100754	183	7	formulas	formula	NOUN
esrj-100754	183	8	we	we	PRON
esrj-100754	183	9	proposed	propose	VERB
esrj-100754	183	10	were	be	AUX
esrj-100754	183	11	compared	compare	VERB
esrj-100754	183	12	in	in	ADP
esrj-100754	183	13	terms	term	NOUN
esrj-100754	183	14	of	of	ADP
esrj-100754	183	15	processing	processing	NOUN
esrj-100754	183	16	time	time	NOUN
esrj-100754	183	17	.	.	PUNCT
esrj-100754	184	1	all	all	PRON
esrj-100754	184	2	were	be	AUX
esrj-100754	184	3	coded	code	VERB
esrj-100754	184	4	in	in	ADP
esrj-100754	184	5	matlab	matlab	PROPN
esrj-100754	184	6	.	.	PUNCT
esrj-100754	185	1	the	the	DET
esrj-100754	185	2	main	main	ADJ
esrj-100754	185	3	characteristics	characteristic	NOUN
esrj-100754	185	4	of	of	ADP
esrj-100754	185	5	the	the	DET
esrj-100754	185	6	hardware	hardware	NOUN
esrj-100754	185	7	were	be	AUX
esrj-100754	185	8	windows	window	NOUN
esrj-100754	185	9	10	10	NUM
esrj-100754	185	10	pro	pro	ADJ
esrj-100754	185	11	,	,	PUNCT
esrj-100754	185	12	intel(r	intel(r	NOUN
esrj-100754	185	13	)	)	PUNCT
esrj-100754	185	14	core(tm	core(tm	NOUN
esrj-100754	185	15	)	)	PUNCT
esrj-100754	185	16	i52450	i52450	NOUN
esrj-100754	185	17	m	m	NOUN
esrj-100754	185	18	cpu	cpu	NOUN
esrj-100754	185	19	@	@	ADP
esrj-100754	185	20	2.50ghz	2.50ghz	NUM
esrj-100754	185	21	,	,	PUNCT
esrj-100754	185	22	6	6	NUM
esrj-100754	185	23	gb	gb	NOUN
esrj-100754	185	24	of	of	ADP
esrj-100754	185	25	ram	ram	NOUN
esrj-100754	185	26	.	.	PUNCT
esrj-100754	186	1	the	the	DET
esrj-100754	186	2	same	same	ADJ
esrj-100754	186	3	bearing	bearing	NOUN
esrj-100754	186	4	and	and	CCONJ
esrj-100754	186	5	the	the	DET
esrj-100754	186	6	same	same	ADJ
esrj-100754	186	7	azimuth	azimuth	NOUN
esrj-100754	186	8	angle	angle	NOUN
esrj-100754	186	9	were	be	AUX
esrj-100754	186	10	calculated	calculate	VERB
esrj-100754	186	11	500	500	NUM
esrj-100754	186	12	million	million	NUM
esrj-100754	186	13	times	time	NOUN
esrj-100754	186	14	and	and	CCONJ
esrj-100754	186	15	the	the	DET
esrj-100754	186	16	processing	processing	NOUN
esrj-100754	186	17	times	time	NOUN
esrj-100754	186	18	are	be	AUX
esrj-100754	186	19	shown	show	VERB
esrj-100754	186	20	in	in	ADP
esrj-100754	186	21	table	table	NOUN
esrj-100754	186	22	4	4	NUM
esrj-100754	186	23	below	below	ADV
esrj-100754	186	24	.	.	PUNCT
esrj-100754	187	1	table	table	NOUN
esrj-100754	187	2	4	4	NUM
esrj-100754	187	3	.	.	PUNCT
esrj-100754	187	4	processing	processing	NOUN
esrj-100754	187	5	time	time	NOUN
esrj-100754	187	6	bearing	bear	VERB
esrj-100754	187	7	angle	angle	NOUN
esrj-100754	187	8	azimuth	azimuth	PROPN
esrj-100754	187	9	angle	angle	NOUN
esrj-100754	187	10	classic	classic	ADJ
esrj-100754	187	11	formulas	formula	NOUN
esrj-100754	187	12	4.642	4.642	NUM
esrj-100754	187	13	sec	sec	PROPN
esrj-100754	187	14	eq	eq	NOUN
esrj-100754	187	15	.	.	PROPN
esrj-100754	187	16	14	14	NUM
esrj-100754	187	17	-	-	PUNCT
esrj-100754	187	18	eq	eq	NOUN
esrj-100754	187	19	.	.	PROPN
esrj-100754	187	20	15	15	NUM
esrj-100754	187	21	5.492	5.492	NUM
esrj-100754	187	22	sec	sec	PROPN
esrj-100754	187	23	eq	eq	NOUN
esrj-100754	187	24	.	.	PROPN
esrj-100754	187	25	1	1	NUM
esrj-100754	187	26	-	-	PUNCT
esrj-100754	187	27	eq	eq	NOUN
esrj-100754	187	28	.	.	PROPN
esrj-100754	187	29	2	2	NUM
esrj-100754	187	30	proposed	propose	VERB
esrj-100754	187	31	formulas	formula	NOUN
esrj-100754	187	32	4.445	4.445	NUM
esrj-100754	187	33	sec	sec	PROPN
esrj-100754	187	34	eq	eq	PROPN
esrj-100754	187	35	.	.	PROPN
esrj-100754	187	36	20	20	NUM
esrj-100754	187	37	-	-	PUNCT
esrj-100754	187	38	eq	eq	NOUN
esrj-100754	187	39	.	.	PROPN
esrj-100754	187	40	21	21	NUM
esrj-100754	187	41	4.413	4.413	NUM
esrj-100754	187	42	sec	sec	PROPN
esrj-100754	187	43	eq	eq	NOUN
esrj-100754	187	44	.	.	PROPN
esrj-100754	187	45	6	6	NUM
esrj-100754	187	46	-	-	PUNCT
esrj-100754	187	47	eq	eq	NOUN
esrj-100754	187	48	.	.	NOUN
esrj-100754	187	49	7	7	NUM
esrj-100754	187	50	it	it	PRON
esrj-100754	187	51	has	have	AUX
esrj-100754	187	52	been	be	AUX
esrj-100754	187	53	observed	observe	VERB
esrj-100754	187	54	that	that	SCONJ
esrj-100754	187	55	the	the	DET
esrj-100754	187	56	processing	processing	NOUN
esrj-100754	187	57	time	time	NOUN
esrj-100754	187	58	is	be	AUX
esrj-100754	187	59	slightly	slightly	ADV
esrj-100754	187	60	shorter	short	ADJ
esrj-100754	187	61	in	in	ADP
esrj-100754	187	62	the	the	DET
esrj-100754	187	63	direct	direct	ADJ
esrj-100754	187	64	formulas	formula	NOUN
esrj-100754	187	65	we	we	PRON
esrj-100754	187	66	recommend	recommend	VERB
esrj-100754	187	67	.	.	PUNCT
esrj-100754	188	1	this	this	PRON
esrj-100754	188	2	is	be	AUX
esrj-100754	188	3	because	because	SCONJ
esrj-100754	188	4	classical	classical	ADJ
esrj-100754	188	5	formulas	formula	NOUN
esrj-100754	188	6	need	need	VERB
esrj-100754	188	7	quadrant	quadrant	ADJ
esrj-100754	188	8	comparison	comparison	NOUN
esrj-100754	188	9	.	.	PUNCT
esrj-100754	189	1	6	6	NUM
esrj-100754	189	2	.	.	X
esrj-100754	189	3	conclusion	conclusion	NOUN
esrj-100754	189	4	in	in	ADP
esrj-100754	189	5	this	this	DET
esrj-100754	189	6	proposed	propose	VERB
esrj-100754	189	7	method	method	NOUN
esrj-100754	189	8	,	,	PUNCT
esrj-100754	189	9	formulas	formula	NOUN
esrj-100754	189	10	are	be	AUX
esrj-100754	189	11	given	give	VERB
esrj-100754	189	12	for	for	ADP
esrj-100754	189	13	how	how	SCONJ
esrj-100754	189	14	to	to	PART
esrj-100754	189	15	obtain	obtain	VERB
esrj-100754	189	16	the	the	DET
esrj-100754	189	17	bearing	bearing	NOUN
esrj-100754	189	18	and	and	CCONJ
esrj-100754	189	19	azimuth	azimuth	PROPN
esrj-100754	189	20	angle	angle	NOUN
esrj-100754	189	21	directly	directly	ADV
esrj-100754	189	22	without	without	ADP
esrj-100754	189	23	any	any	DET
esrj-100754	189	24	examination	examination	NOUN
esrj-100754	189	25	.	.	PUNCT
esrj-100754	190	1	the	the	DET
esrj-100754	190	2	need	need	NOUN
esrj-100754	190	3	for	for	ADP
esrj-100754	190	4	comparison	comparison	NOUN
esrj-100754	190	5	in	in	ADP
esrj-100754	190	6	classical	classical	ADJ
esrj-100754	190	7	formulas	formula	NOUN
esrj-100754	190	8	increases	increase	VERB
esrj-100754	190	9	both	both	CCONJ
esrj-100754	190	10	the	the	DET
esrj-100754	190	11	processing	processing	NOUN
esrj-100754	190	12	time	time	NOUN
esrj-100754	190	13	and	and	CCONJ
esrj-100754	190	14	the	the	DET
esrj-100754	190	15	possibility	possibility	NOUN
esrj-100754	190	16	of	of	ADP
esrj-100754	190	17	error	error	NOUN
esrj-100754	190	18	.	.	PUNCT
esrj-100754	191	1	direct	direct	ADJ
esrj-100754	191	2	formulas	formula	NOUN
esrj-100754	191	3	are	be	AUX
esrj-100754	191	4	always	always	ADV
esrj-100754	191	5	more	more	ADV
esrj-100754	191	6	useful	useful	ADJ
esrj-100754	191	7	.	.	PUNCT
esrj-100754	192	1	while	while	SCONJ
esrj-100754	192	2	saving	save	VERB
esrj-100754	192	3	time	time	NOUN
esrj-100754	192	4	on	on	ADP
esrj-100754	192	5	the	the	DET
esrj-100754	192	6	one	one	NUM
esrj-100754	192	7	hand	hand	NOUN
esrj-100754	192	8	,	,	PUNCT
esrj-100754	192	9	the	the	DET
esrj-100754	192	10	probability	probability	NOUN
esrj-100754	192	11	of	of	ADP
esrj-100754	192	12	making	make	VERB
esrj-100754	192	13	mistakes	mistake	NOUN
esrj-100754	192	14	will	will	AUX
esrj-100754	192	15	also	also	ADV
esrj-100754	192	16	be	be	AUX
esrj-100754	192	17	seriously	seriously	ADV
esrj-100754	192	18	reduced	reduce	VERB
esrj-100754	192	19	on	on	ADP
esrj-100754	192	20	the	the	DET
esrj-100754	192	21	other	other	ADJ
esrj-100754	192	22	hand	hand	NOUN
esrj-100754	192	23	.	.	PUNCT
esrj-100754	193	1	we	we	PRON
esrj-100754	193	2	hope	hope	VERB
esrj-100754	193	3	that	that	SCONJ
esrj-100754	193	4	the	the	DET
esrj-100754	193	5	accuracy	accuracy	NOUN
esrj-100754	193	6	and	and	CCONJ
esrj-100754	193	7	non	non	NOUN
esrj-100754	193	8	-	-	NOUN
esrj-100754	193	9	examination	examination	NOUN
esrj-100754	193	10	of	of	ADP
esrj-100754	193	11	the	the	DET
esrj-100754	193	12	direct	direct	ADJ
esrj-100754	193	13	formulas	formula	NOUN
esrj-100754	193	14	we	we	PRON
esrj-100754	193	15	proposed	propose	VERB
esrj-100754	193	16	will	will	AUX
esrj-100754	193	17	increase	increase	VERB
esrj-100754	193	18	the	the	DET
esrj-100754	193	19	usability	usability	NOUN
esrj-100754	193	20	of	of	ADP
esrj-100754	193	21	our	our	PRON
esrj-100754	193	22	formulas	formula	NOUN
esrj-100754	193	23	.	.	PUNCT
esrj-100754	194	1	the	the	DET
esrj-100754	194	2	formulas	formula	NOUN
esrj-100754	194	3	on	on	ADP
esrj-100754	194	4	the	the	DET
esrj-100754	194	5	sphere	sphere	NOUN
esrj-100754	194	6	surface	surface	NOUN
esrj-100754	194	7	,	,	PUNCT
esrj-100754	194	8	which	which	PRON
esrj-100754	194	9	are	be	AUX
esrj-100754	194	10	used	use	VERB
esrj-100754	194	11	to	to	PART
esrj-100754	194	12	calculate	calculate	VERB
esrj-100754	194	13	the	the	DET
esrj-100754	194	14	direct	direct	ADJ
esrj-100754	194	15	bearing	bearing	NOUN
esrj-100754	194	16	and	and	CCONJ
esrj-100754	194	17	azimuth	azimuth	ADV
esrj-100754	194	18	,	,	PUNCT
esrj-100754	194	19	can	can	AUX
esrj-100754	194	20	also	also	ADV
esrj-100754	194	21	be	be	AUX
esrj-100754	194	22	adapted	adapt	VERB
esrj-100754	194	23	to	to	ADP
esrj-100754	194	24	the	the	DET
esrj-100754	194	25	ellipsoid	ellipsoid	PROPN
esrj-100754	194	26	surface	surface	NOUN
esrj-100754	194	27	.	.	PUNCT
esrj-100754	195	1	for	for	ADP
esrj-100754	195	2	future	future	ADJ
esrj-100754	195	3	studies	study	NOUN
esrj-100754	195	4	,	,	PUNCT
esrj-100754	195	5	researchers	researcher	NOUN
esrj-100754	195	6	are	be	AUX
esrj-100754	195	7	advised	advise	VERB
esrj-100754	195	8	to	to	PART
esrj-100754	195	9	find	find	VERB
esrj-100754	195	10	more	more	ADJ
esrj-100754	195	11	simple	simple	ADJ
esrj-100754	195	12	direct	direct	ADJ
esrj-100754	195	13	formulas	formula	NOUN
esrj-100754	195	14	.	.	PUNCT
esrj-100754	196	1	references	reference	NOUN
esrj-100754	196	2	antes	antes	PROPN
esrj-100754	196	3	,	,	PUNCT
esrj-100754	196	4	e.	e.	PROPN
esrj-100754	196	5	(	(	PUNCT
esrj-100754	196	6	1990	1990	NUM
esrj-100754	196	7	)	)	PUNCT
esrj-100754	196	8	.	.	PUNCT
esrj-100754	197	1	noch	noch	PROPN
esrj-100754	197	2	ein	ein	PROPN
esrj-100754	197	3	beitrag	beitrag	PROPN
esrj-100754	197	4	zur	zur	PROPN
esrj-100754	197	5	berechung	berechung	PROPN
esrj-100754	197	6	des	des	PROPN
esrj-100754	197	7	richtungwinkels	richtungwinkel	NOUN
esrj-100754	197	8	.	.	PUNCT
esrj-100754	198	1	verm	verm	PROPN
esrj-100754	198	2	.	.	PROPN
esrj-100754	198	3	wesen	wesen	PROPN
esrj-100754	198	4	,	,	PUNCT
esrj-100754	198	5	115	115	NUM
esrj-100754	198	6	.	.	PUNCT
esrj-100754	198	7	bektaş	bektaş	PROPN
esrj-100754	198	8	,	,	PUNCT
esrj-100754	198	9	s.	s.	PROPN
esrj-100754	198	10	(	(	PUNCT
esrj-100754	198	11	2019	2019	NUM
esrj-100754	198	12	)	)	PUNCT
esrj-100754	198	13	.	.	PUNCT
esrj-100754	199	1	direct	direct	ADJ
esrj-100754	199	2	bearing	bearing	NOUN
esrj-100754	199	3	angles	angle	VERB
esrj-100754	199	4	determination	determination	NOUN
esrj-100754	199	5	on	on	ADP
esrj-100754	199	6	globe	globe	NOUN
esrj-100754	199	7	.	.	PUNCT
esrj-100754	199	8	 	 	SPACE
esrj-100754	200	1	moj	moj	PROPN
esrj-100754	200	2	civil	civil	ADJ
esrj-100754	200	3	engineering	engineering	NOUN
esrj-100754	200	4	,	,	PUNCT
esrj-100754	200	5	5(4	5(4	NUM
esrj-100754	200	6	)	)	PUNCT
esrj-100754	200	7	,	,	PUNCT
esrj-100754	200	8	78–80	78–80	PROPN
esrj-100754	200	9	.	.	PUNCT
esrj-100754	200	10	bektaş	bektaş	PROPN
esrj-100754	200	11	,	,	PUNCT
esrj-100754	200	12	s.	s.	PROPN
esrj-100754	200	13	(	(	PUNCT
esrj-100754	200	14	2021	2021	NUM
esrj-100754	200	15	)	)	PUNCT
esrj-100754	200	16	.	.	PUNCT
esrj-100754	201	1	jeodezi-1	jeodezi-1	PROPN
esrj-100754	201	2	,	,	PUNCT
esrj-100754	201	3	atlas	atlas	PROPN
esrj-100754	201	4	akademi	akademi	PROPN
esrj-100754	201	5	press	press	PROPN
esrj-100754	201	6	.	.	PUNCT
esrj-100754	202	1	isbn	isbn	ADJ
esrj-100754	202	2	978	978	NUM
esrj-100754	202	3	-	-	SYM
esrj-100754	202	4	605	605	NUM
esrj-100754	202	5	-	-	PUNCT
esrj-100754	202	6	7839	7839	NUM
esrj-100754	202	7	-	-	SYM
esrj-100754	202	8	87	87	NUM
esrj-100754	202	9	-	-	SYM
esrj-100754	202	10	9	9	NUM
esrj-100754	202	11	.	.	PUNCT
esrj-100754	202	12	breuer	breuer	PROPN
esrj-100754	202	13	,	,	PUNCT
esrj-100754	202	14	p.	p.	NOUN
esrj-100754	202	15	,	,	PUNCT
esrj-100754	202	16	hirle	hirle	NOUN
esrj-100754	202	17	,	,	PUNCT
esrj-100754	202	18	m.	m.	NOUN
esrj-100754	202	19	,	,	PUNCT
esrj-100754	202	20	&	&	CCONJ
esrj-100754	202	21	joeckel	joeckel	PROPN
esrj-100754	202	22	,	,	PUNCT
esrj-100754	202	23	r.	r.	PROPN
esrj-100754	202	24	(	(	PUNCT
esrj-100754	202	25	1985	1985	NUM
esrj-100754	202	26	)	)	PUNCT
esrj-100754	202	27	.	.	PUNCT
esrj-100754	203	1	basicprogrammierbare	basicprogrammierbare	VERB
esrj-100754	203	2	taschenrechner	taschenrechner	NOUN
esrj-100754	203	3	und	und	NOUN
esrj-100754	203	4	handcomputer	handcomputer	NOUN
esrj-100754	203	5	.	.	PUNCT
esrj-100754	204	1	mitt.des	mitt.des	X
esrj-100754	204	2	deutscher	deutscher	PROPN
esrj-100754	204	3	verein	verein	NOUN
esrj-100754	204	4	für	für	ADP
esrj-100754	204	5	vermessungswesen	vermessungswesen	NOUN
esrj-100754	204	6	-	-	PUNCT
esrj-100754	204	7	bayern	bayern	NOUN
esrj-100754	204	8	,	,	PUNCT
esrj-100754	204	9	37	37	NUM
esrj-100754	204	10	,	,	PUNCT
esrj-100754	204	11	jahr	jahr	PROPN
esrj-100754	204	12	.	.	PUNCT
esrj-100754	204	13	sonderheft	sonderheft	PROPN
esrj-100754	204	14	1/1985	1/1985	NUM
esrj-100754	204	15	,	,	PUNCT
esrj-100754	204	16	s.218	s.218	ADJ
esrj-100754	204	17	-	-	PUNCT
esrj-100754	204	18	219	219	NUM
esrj-100754	204	19	gellert	gellert	PROPN
esrj-100754	204	20	,	,	PUNCT
esrj-100754	204	21	w.	w.	PROPN
esrj-100754	204	22	,	,	PUNCT
esrj-100754	204	23	küstner	küstner	PROPN
esrj-100754	204	24	,	,	PUNCT
esrj-100754	204	25	h.	h.	PROPN
esrj-100754	204	26	,	,	PUNCT
esrj-100754	204	27	hellwich	hellwich	PROPN
esrj-100754	204	28	,	,	PUNCT
esrj-100754	204	29	m.	m.	NOUN
esrj-100754	204	30	,	,	PUNCT
esrj-100754	204	31	&	&	CCONJ
esrj-100754	204	32	kastner	kastner	PROPN
esrj-100754	204	33	,	,	PUNCT
esrj-100754	204	34	h.	h.	PROPN
esrj-100754	204	35	(	(	PUNCT
esrj-100754	204	36	1972	1972	NUM
esrj-100754	204	37	)	)	PUNCT
esrj-100754	204	38	.	.	PUNCT
esrj-100754	205	1	kleine	kleine	PROPN
esrj-100754	205	2	enzyklopadie	enzyklopadie	PROPN
esrj-100754	205	3	:	:	PUNCT
esrj-100754	205	4	mathematik	mathematik	PROPN
esrj-100754	205	5	.	.	PUNCT
esrj-100754	206	1	verlag	verlag	PROPN
esrj-100754	206	2	harri	harri	PROPN
esrj-100754	206	3	deustch	deustch	PROPN
esrj-100754	206	4	,	,	PUNCT
esrj-100754	206	5	frankfurt/	frankfurt/	PROPN
esrj-100754	206	6	m.	m.	NOUN
esrj-100754	206	7	und	und	PROPN
esrj-100754	206	8	zürich	zürich	PROPN
esrj-100754	206	9	.	.	PUNCT
esrj-100754	207	1	heck	heck	INTJ
esrj-100754	207	2	,	,	PUNCT
esrj-100754	207	3	b.	b.	PROPN
esrj-100754	207	4	(	(	PUNCT
esrj-100754	207	5	2003	2003	NUM
esrj-100754	207	6	)	)	PUNCT
esrj-100754	207	7	.	.	PUNCT
esrj-100754	207	8	  	  	SPACE
esrj-100754	208	1	rechenverfahren	rechenverfahren	AUX
esrj-100754	208	2	und	und	VERB
esrj-100754	208	3	auswertemodelle	auswertemodelle	PROPN
esrj-100754	208	4	der	der	PROPN
esrj-100754	208	5	landesvermessung	landesvermessung	PROPN
esrj-100754	208	6	:	:	PUNCT
esrj-100754	208	7	klassische	klassische	NOUN
esrj-100754	208	8	und	und	VERB
esrj-100754	208	9	moderne	moderne	NOUN
esrj-100754	208	10	methoden	methoden	ADJ
esrj-100754	208	11	.	.	PUNCT
esrj-100754	209	1	3	3	X
esrj-100754	209	2	.	.	X
esrj-100754	209	3	neu	neu	PROPN
esrj-100754	209	4	bearbaitete	bearbaitete	PROPN
esrj-100754	209	5	und	und	VERB
esrj-100754	209	6	erweiterte	erweiterte	ADJ
esrj-100754	209	7	auflage	auflage	NOUN
esrj-100754	209	8	.	.	PUNCT
esrj-100754	210	1	heidelberg	heidelberg	NOUN
esrj-100754	210	2	:	:	PUNCT
esrj-100754	210	3	herbert	herbert	PROPN
esrj-100754	210	4	wichmann	wichmann	PROPN
esrj-100754	210	5	,	,	PUNCT
esrj-100754	210	6	473	473	NUM
esrj-100754	210	7	pp	pp	NOUN
esrj-100754	210	8	.	.	PUNCT
esrj-100754	211	1	hekimoğlu	hekimoğlu	NOUN
esrj-100754	211	2	,	,	PUNCT
esrj-100754	211	3	ş	ş	X
esrj-100754	211	4	.	.	PUNCT
esrj-100754	211	5	(	(	PUNCT
esrj-100754	211	6	1991	1991	NUM
esrj-100754	211	7	)	)	PUNCT
esrj-100754	211	8	.	.	PUNCT
esrj-100754	212	1	açıklık	açıklık	PROPN
esrj-100754	212	2	açısını	açısını	PROPN
esrj-100754	212	3	bölge	bölge	PROPN
esrj-100754	212	4	sorgulaması	sorgulaması	PROPN
esrj-100754	212	5	yapmadan	yapmadan	PROPN
esrj-100754	212	6	hesaplayan	hesaplayan	PROPN
esrj-100754	212	7	yeni	yeni	ADJ
esrj-100754	212	8	formüller	formüller	NOUN
esrj-100754	212	9	ve	ve	AUX
esrj-100754	212	10	kondüsyon	kondüsyon	NOUN
esrj-100754	212	11	sorunu	sorunu	ADJ
esrj-100754	212	12	.	.	PUNCT
esrj-100754	213	1	hkmo	hkmo	PROPN
esrj-100754	213	2	dergisi	dergisi	VERB
esrj-100754	213	3	,	,	PUNCT
esrj-100754	213	4	sayı	sayı	ADJ
esrj-100754	213	5	,	,	PUNCT
esrj-100754	213	6	70	70	NUM
esrj-100754	213	7	,	,	PUNCT
esrj-100754	213	8	trabzon	trabzon	NOUN
esrj-100754	213	9	theissen	theissen	PROPN
esrj-100754	213	10	,	,	PUNCT
esrj-100754	213	11	r.	r.	PROPN
esrj-100754	213	12	(	(	PUNCT
esrj-100754	213	13	1990	1990	NUM
esrj-100754	213	14	)	)	PUNCT
esrj-100754	213	15	.	.	PUNCT
esrj-100754	214	1	berechnung	berechnung	PROPN
esrj-100754	214	2	des	des	PROPN
esrj-100754	214	3	richtungswinkels	richtungswinkels	PROPN
esrj-100754	214	4	t	t	PROPN
esrj-100754	214	5	ohne	ohne	NOUN
esrj-100754	214	6	quadrantenabfrage	quadrantenabfrage	NOUN
esrj-100754	214	7	.	.	PUNCT
esrj-100754	215	1	z.fg	z.fg	PROPN
esrj-100754	215	2	.	.	PROPN
esrj-100754	215	3	verm	verm	PROPN
esrj-100754	215	4	.	.	PUNCT
esrj-100754	216	1	wesen	wesen	PROPN
esrj-100754	216	2	115,193	115,193	NUM
esrj-100754	216	3	-	-	SYM
esrj-100754	216	4	195	195	NUM
esrj-100754	216	5	_	_	NOUN
esrj-100754	216	6	hlk97057942	hlk97057942	NOUN
esrj-100754	216	7	_	_	PRON
esrj-100754	216	8	hlk97058323	hlk97058323	NOUN
esrj-100754	217	1	_	_	NOUN
esrj-100754	217	2	hlk97058734	hlk97058734	X
esrj-100754	217	3	_	_	PUNCT
esrj-100754	217	4	hlk97059392	hlk97059392	NOUN
esrj-100754	217	5	_	_	PUNCT
esrj-100754	217	6	hlk97059724	hlk97059724	ADV