id	sid	tid	token	lemma	pos
iajs-686	1	1	مجلة	مجلة	VERB
iajs-686	1	2	إبن	إبن	VERB
iajs-686	1	3	الھیثم	الھیثم	NOUN
iajs-686	1	4	للعلوم	للعلوم	NOUN
iajs-686	1	5	الصرفة	الصرفة	NOUN
iajs-686	1	6	و	و	PRON
iajs-686	1	7	التطبیقیة	التطبیقیة	PROPN
iajs-686	1	8	2012	2012	NUM
iajs-686	1	9	السنة	السنة	NOUN
iajs-686	1	10	25	25	NUM
iajs-686	1	11	المجلد	المجلد	NOUN
iajs-686	1	12	1	1	NUM
iajs-686	1	13	العدد	العدد	PROPN
iajs-686	1	14	ibn	ibn	PROPN
iajs-686	1	15	al	al	PROPN
iajs-686	1	16	-	-	PUNCT
iajs-686	1	17	haitham	haitham	PROPN
iajs-686	1	18	journal	journal	PROPN
iajs-686	1	19	for	for	ADP
iajs-686	1	20	pure	pure	ADJ
iajs-686	1	21	and	and	CCONJ
iajs-686	1	22	applied	apply	VERB
iajs-686	1	23	science	science	NOUN
iajs-686	1	24	no	no	NOUN
iajs-686	1	25	.	.	NOUN
iajs-686	1	26	1	1	NUM
iajs-686	1	27	vol	vol	NOUN
iajs-686	1	28	.	.	PUNCT
iajs-686	2	1	25	25	NUM
iajs-686	2	2	year	year	NOUN
iajs-686	2	3	2012	2012	NUM
iajs-686	2	4	the	the	DET
iajs-686	2	5	construction	construction	NOUN
iajs-686	2	6	and	and	CCONJ
iajs-686	2	7	reverse	reverse	ADJ
iajs-686	2	8	construction	construction	NOUN
iajs-686	2	9	of	of	ADP
iajs-686	2	10	the	the	DET
iajs-686	2	11	complete	complete	ADJ
iajs-686	2	12	arcs	arc	NOUN
iajs-686	2	13	in	in	ADP
iajs-686	2	14	the	the	DET
iajs-686	2	15	projective	projective	ADJ
iajs-686	2	16	3	3	NUM
iajs-686	2	17	-	-	PUNCT
iajs-686	2	18	space	space	NOUN
iajs-686	2	19	over	over	ADP
iajs-686	2	20	galois	galois	PROPN
iajs-686	2	21	field	field	NOUN
iajs-686	2	22	gf(2	gf(2	PROPN
iajs-686	2	23	)	)	PUNCT
iajs-686	2	24	a.	a.	NOUN
iajs-686	2	25	sh	sh	PROPN
iajs-686	2	26	.	.	PUNCT
iajs-686	3	1	al	al	PROPN
iajs-686	3	2	-	-	PUNCT
iajs-686	3	3	mukhtar	mukhtar	PROPN
iajs-686	3	4	department	department	PROPN
iajs-686	3	5	of	of	ADP
iajs-686	3	6	mathematics	mathematics	PROPN
iajs-686	3	7	-	-	PUNCT
iajs-686	3	8	ibn	ibn	PROPN
iajs-686	3	9	-	-	PUNCT
iajs-686	3	10	al	al	PROPN
iajs-686	3	11	-	-	PUNCT
iajs-686	3	12	haitham	haitham	PROPN
iajs-686	3	13	college	college	PROPN
iajs-686	3	14	of	of	ADP
iajs-686	3	15	education	education	PROPN
iajs-686	3	16	university	university	PROPN
iajs-686	3	17	of	of	ADP
iajs-686	3	18	baghdad	baghdad	PROPN
iajs-686	3	19	received	receive	VERB
iajs-686	3	20	in	in	ADP
iajs-686	3	21	:	:	PUNCT
iajs-686	3	22	11	11	NUM
iajs-686	3	23	may	may	AUX
iajs-686	3	24	2011	2011	NUM
iajs-686	3	25	accepted	accept	VERB
iajs-686	3	26	in	in	ADP
iajs-686	3	27	:	:	PUNCT
iajs-686	3	28	16	16	NUM
iajs-686	3	29	june	june	PROPN
iajs-686	3	30	2011	2011	NUM
iajs-686	3	31	abstract	abstract	ADJ
iajs-686	3	32	the	the	DET
iajs-686	3	33	main	main	ADJ
iajs-686	3	34	purpose	purpose	NOUN
iajs-686	3	35	of	of	ADP
iajs-686	3	36	this	this	DET
iajs-686	3	37	work	work	NOUN
iajs-686	3	38	is	be	AUX
iajs-686	3	39	to	to	PART
iajs-686	3	40	find	find	VERB
iajs-686	3	41	the	the	DET
iajs-686	3	42	complete	complete	ADJ
iajs-686	3	43	arcs	arc	NOUN
iajs-686	3	44	in	in	ADP
iajs-686	3	45	the	the	DET
iajs-686	3	46	projective	projective	ADJ
iajs-686	3	47	3	3	NUM
iajs-686	3	48	-	-	PUNCT
iajs-686	3	49	space	space	NOUN
iajs-686	3	50	over	over	ADP
iajs-686	3	51	galois	galois	PROPN
iajs-686	3	52	field	field	NOUN
iajs-686	3	53	gf(2	gf(2	PROPN
iajs-686	3	54	)	)	PUNCT
iajs-686	3	55	,	,	PUNCT
iajs-686	3	56	which	which	PRON
iajs-686	3	57	is	be	AUX
iajs-686	3	58	denoted	denote	VERB
iajs-686	3	59	by	by	ADP
iajs-686	3	60	pg(3,2	pg(3,2	NOUN
iajs-686	3	61	)	)	PUNCT
iajs-686	3	62	,	,	PUNCT
iajs-686	3	63	by	by	ADP
iajs-686	3	64	two	two	NUM
iajs-686	3	65	methods	method	NOUN
iajs-686	3	66	and	and	CCONJ
iajs-686	3	67	then	then	ADV
iajs-686	3	68	we	we	PRON
iajs-686	3	69	compare	compare	VERB
iajs-686	3	70	between	between	ADP
iajs-686	3	71	the	the	DET
iajs-686	3	72	two	two	NUM
iajs-686	3	73	methods	method	NOUN
iajs-686	3	74	.	.	PUNCT
iajs-686	4	1	keywords	keyword	NOUN
iajs-686	4	2	:	:	PUNCT
iajs-686	4	3	arcs	arc	NOUN
iajs-686	4	4	,	,	PUNCT
iajs-686	4	5	secant	secant	ADJ
iajs-686	4	6	,	,	PUNCT
iajs-686	4	7	quadrable	quadrable	ADJ
iajs-686	4	8	.	.	PUNCT
iajs-686	5	1	introduction	introduction	NOUN
iajs-686	5	2	,	,	PUNCT
iajs-686	5	3	[	[	X
iajs-686	5	4	1,2	1,2	NUM
iajs-686	5	5	]	]	PUNCT
iajs-686	5	6	a	a	DET
iajs-686	5	7	projective	projective	ADJ
iajs-686	5	8	space	space	NOUN
iajs-686	5	9	pg(3,q	pg(3,q	NOUN
iajs-686	5	10	)	)	PUNCT
iajs-686	5	11	over	over	ADP
iajs-686	5	12	galois	galois	PROPN
iajs-686	5	13	field	field	NOUN
iajs-686	5	14	gf(q	gf(q	NOUN
iajs-686	5	15	)	)	PUNCT
iajs-686	5	16	,	,	PUNCT
iajs-686	5	17	q	q	NOUN
iajs-686	6	1	=	=	PUNCT
iajs-686	6	2	p	p	X
iajs-686	6	3	m	m	X
iajs-686	6	4	,	,	PUNCT
iajs-686	6	5	for	for	ADP
iajs-686	6	6	some	some	DET
iajs-686	6	7	prime	prime	ADJ
iajs-686	6	8	number	number	NOUN
iajs-686	6	9	p	p	NOUN
iajs-686	6	10	and	and	CCONJ
iajs-686	6	11	some	some	DET
iajs-686	6	12	integer	integer	NOUN
iajs-686	6	13	m	m	PROPN
iajs-686	6	14	,	,	PUNCT
iajs-686	6	15	is	be	AUX
iajs-686	6	16	a	a	DET
iajs-686	6	17	3	3	NUM
iajs-686	6	18	–	–	PUNCT
iajs-686	6	19	dimensional	dimensional	ADJ
iajs-686	6	20	projective	projective	ADJ
iajs-686	6	21	space	space	NOUN
iajs-686	6	22	.	.	PUNCT
iajs-686	7	1	any	any	DET
iajs-686	7	2	point	point	NOUN
iajs-686	7	3	in	in	ADP
iajs-686	7	4	pg(3,q	pg(3,q	NOUN
iajs-686	7	5	)	)	PUNCT
iajs-686	7	6	has	have	VERB
iajs-686	7	7	the	the	DET
iajs-686	7	8	form	form	NOUN
iajs-686	7	9	of	of	ADP
iajs-686	7	10	a	a	DET
iajs-686	7	11	quadrable	quadrable	ADJ
iajs-686	7	12	(	(	PUNCT
iajs-686	7	13	x1	x1	PROPN
iajs-686	7	14	,	,	PUNCT
iajs-686	7	15	x2	x2	PROPN
iajs-686	7	16	,	,	PUNCT
iajs-686	7	17	x3	x3	PROPN
iajs-686	7	18	,	,	PUNCT
iajs-686	7	19	x4	x4	PROPN
iajs-686	7	20	)	)	PUNCT
iajs-686	7	21	,	,	PUNCT
iajs-686	7	22	where	where	SCONJ
iajs-686	7	23	x1	x1	ADJ
iajs-686	7	24	,	,	PUNCT
iajs-686	7	25	x2	x2	PROPN
iajs-686	7	26	,	,	PUNCT
iajs-686	7	27	x3	x3	ADJ
iajs-686	7	28	,	,	PUNCT
iajs-686	7	29	x4	x4	PROPN
iajs-686	7	30	are	be	AUX
iajs-686	7	31	elements	element	NOUN
iajs-686	7	32	in	in	ADP
iajs-686	7	33	gf(q	gf(q	NOUN
iajs-686	7	34	)	)	PUNCT
iajs-686	7	35	with	with	ADP
iajs-686	7	36	the	the	DET
iajs-686	7	37	exception	exception	NOUN
iajs-686	7	38	of	of	ADP
iajs-686	7	39	the	the	DET
iajs-686	7	40	quadrable	quadrable	ADJ
iajs-686	7	41	consisting	consisting	NOUN
iajs-686	7	42	of	of	ADP
iajs-686	7	43	four	four	NUM
iajs-686	7	44	zero	zero	NUM
iajs-686	7	45	elements	element	NOUN
iajs-686	7	46	.	.	PUNCT
iajs-686	8	1	two	two	NUM
iajs-686	8	2	quadrables	quadrable	NOUN
iajs-686	8	3	(	(	PUNCT
iajs-686	8	4	x1	x1	PROPN
iajs-686	8	5	,	,	PUNCT
iajs-686	8	6	x2	x2	PROPN
iajs-686	8	7	,	,	PUNCT
iajs-686	8	8	x3	x3	ADJ
iajs-686	8	9	,	,	PUNCT
iajs-686	8	10	x4	x4	PROPN
iajs-686	8	11	)	)	PUNCT
iajs-686	8	12	and	and	CCONJ
iajs-686	8	13	(	(	PUNCT
iajs-686	8	14	y1	y1	INTJ
iajs-686	8	15	,	,	PUNCT
iajs-686	8	16	y2	y2	PROPN
iajs-686	8	17	,	,	PUNCT
iajs-686	8	18	y3	y3	PROPN
iajs-686	8	19	,	,	PUNCT
iajs-686	8	20	y4	y4	NUM
iajs-686	8	21	)	)	PUNCT
iajs-686	8	22	represent	represent	VERB
iajs-686	8	23	the	the	DET
iajs-686	8	24	same	same	ADJ
iajs-686	8	25	point	point	NOUN
iajs-686	8	26	if	if	SCONJ
iajs-686	8	27	there	there	PRON
iajs-686	8	28	exists	exist	VERB
iajs-686	8	29			ADJ
iajs-686	8	30	in	in	ADP
iajs-686	8	31	gf(q	gf(q	NOUN
iajs-686	8	32	)	)	PUNCT
iajs-686	8	33	\	\	PUNCT
iajs-686	9	1	{	{	PUNCT
iajs-686	9	2	0	0	NUM
iajs-686	9	3	}	}	PUNCT
iajs-686	9	4	such	such	ADJ
iajs-686	9	5	that	that	SCONJ
iajs-686	9	6	(	(	PUNCT
iajs-686	9	7	x1	x1	PROPN
iajs-686	9	8	,	,	PUNCT
iajs-686	9	9	x2	x2	PROPN
iajs-686	9	10	,	,	PUNCT
iajs-686	9	11	x3	x3	ADJ
iajs-686	9	12	,	,	PUNCT
iajs-686	9	13	x4	x4	PROPN
iajs-686	9	14	)	)	PUNCT
iajs-686	9	15	=	=	SYM
iajs-686	9	16			X
iajs-686	9	17	(	(	PUNCT
iajs-686	9	18	y1	y1	NOUN
iajs-686	9	19	,	,	PUNCT
iajs-686	9	20	y2	y2	PROPN
iajs-686	9	21	,	,	PUNCT
iajs-686	9	22	y3	y3	PROPN
iajs-686	9	23	,	,	PUNCT
iajs-686	9	24	y4	y4	NUM
iajs-686	9	25	)	)	PUNCT
iajs-686	9	26	,	,	PUNCT
iajs-686	9	27	this	this	PRON
iajs-686	9	28	is	be	AUX
iajs-686	9	29	denoted	denote	VERB
iajs-686	9	30	by	by	ADP
iajs-686	9	31	(	(	PUNCT
iajs-686	9	32	x1	x1	PROPN
iajs-686	9	33	,	,	PUNCT
iajs-686	9	34	x2	x2	PROPN
iajs-686	9	35	,	,	PUNCT
iajs-686	9	36	x3	x3	PROPN
iajs-686	9	37	,	,	PUNCT
iajs-686	9	38	x4	x4	PROPN
iajs-686	9	39	)	)	PUNCT
iajs-686	9	40			PROPN
iajs-686	9	41	(	(	PUNCT
iajs-686	9	42	y1	y1	PROPN
iajs-686	9	43	,	,	PUNCT
iajs-686	9	44	y2	y2	PROPN
iajs-686	9	45	,	,	PUNCT
iajs-686	9	46	y3	y3	PROPN
iajs-686	9	47	,	,	PUNCT
iajs-686	9	48	y4	y4	NUM
iajs-686	9	49	)	)	PUNCT
iajs-686	9	50	.	.	PUNCT
iajs-686	10	1	similarly	similarly	ADV
iajs-686	10	2	,	,	PUNCT
iajs-686	10	3	any	any	DET
iajs-686	10	4	plane	plane	NOUN
iajs-686	10	5	in	in	ADP
iajs-686	10	6	pg(3,q	pg(3,q	NOUN
iajs-686	10	7	)	)	PUNCT
iajs-686	10	8	has	have	VERB
iajs-686	10	9	the	the	DET
iajs-686	10	10	form	form	NOUN
iajs-686	10	11	of	of	ADP
iajs-686	10	12	a	a	DET
iajs-686	10	13	quadrable	quadrable	ADJ
iajs-686	10	14	[	[	X
iajs-686	10	15	x1	x1	PROPN
iajs-686	10	16	,	,	PUNCT
iajs-686	10	17	x2	x2	PROPN
iajs-686	10	18	,	,	PUNCT
iajs-686	10	19	x3	x3	PROPN
iajs-686	10	20	,	,	PUNCT
iajs-686	10	21	x4	x4	PROPN
iajs-686	10	22	]	]	X
iajs-686	10	23	,	,	PUNCT
iajs-686	10	24	where	where	SCONJ
iajs-686	10	25	x1	x1	ADJ
iajs-686	10	26	,	,	PUNCT
iajs-686	10	27	x2	x2	PROPN
iajs-686	10	28	,	,	PUNCT
iajs-686	10	29	x3	x3	ADJ
iajs-686	10	30	,	,	PUNCT
iajs-686	10	31	x4	x4	PROPN
iajs-686	10	32	are	be	AUX
iajs-686	10	33	elements	element	NOUN
iajs-686	10	34	in	in	ADP
iajs-686	10	35	gf(q	gf(q	NOUN
iajs-686	10	36	)	)	PUNCT
iajs-686	10	37	with	with	ADP
iajs-686	10	38	the	the	DET
iajs-686	10	39	exception	exception	NOUN
iajs-686	10	40	of	of	ADP
iajs-686	10	41	the	the	DET
iajs-686	10	42	quadrable	quadrable	ADJ
iajs-686	10	43	consisting	consisting	NOUN
iajs-686	10	44	of	of	ADP
iajs-686	10	45	four	four	NUM
iajs-686	10	46	zero	zero	NUM
iajs-686	10	47	elements	element	NOUN
iajs-686	10	48	.	.	PUNCT
iajs-686	11	1	two	two	NUM
iajs-686	11	2	quadrables	quadrable	NOUN
iajs-686	12	1	[	[	X
iajs-686	12	2	x1	x1	PROPN
iajs-686	12	3	,	,	PUNCT
iajs-686	12	4	x2	x2	PROPN
iajs-686	12	5	,	,	PUNCT
iajs-686	12	6	x3	x3	PROPN
iajs-686	12	7	,	,	PUNCT
iajs-686	12	8	x4	x4	PROPN
iajs-686	12	9	]	]	PUNCT
iajs-686	12	10	and	and	CCONJ
iajs-686	12	11	[	[	X
iajs-686	12	12	y1	y1	INTJ
iajs-686	12	13	,	,	PUNCT
iajs-686	12	14	y2	y2	PROPN
iajs-686	12	15	,	,	PUNCT
iajs-686	12	16	y3	y3	PROPN
iajs-686	12	17	,	,	PUNCT
iajs-686	12	18	y4	y4	PROPN
iajs-686	12	19	]	]	PUNCT
iajs-686	12	20	represent	represent	VERB
iajs-686	12	21	the	the	DET
iajs-686	12	22	same	same	ADJ
iajs-686	12	23	plane	plane	NOUN
iajs-686	12	24	if	if	SCONJ
iajs-686	12	25	there	there	PRON
iajs-686	12	26	exists	exist	VERB
iajs-686	12	27			ADJ
iajs-686	12	28	in	in	ADP
iajs-686	12	29	gf(q)\{0	gf(q)\{0	NOUN
iajs-686	12	30	}	}	PUNCT
iajs-686	12	31	such	such	ADJ
iajs-686	12	32	that	that	SCONJ
iajs-686	12	33	[	[	X
iajs-686	12	34	x1	x1	ADJ
iajs-686	12	35	,	,	PUNCT
iajs-686	12	36	x2	x2	PROPN
iajs-686	12	37	,	,	PUNCT
iajs-686	12	38	x3	x3	PROPN
iajs-686	12	39	,	,	PUNCT
iajs-686	12	40	x4	x4	PROPN
iajs-686	12	41	]	]	X
iajs-686	12	42	=	=	SYM
iajs-686	12	43			X
iajs-686	12	44	[	[	X
iajs-686	12	45	y1	y1	NOUN
iajs-686	12	46	,	,	PUNCT
iajs-686	12	47	y2	y2	PROPN
iajs-686	12	48	,	,	PUNCT
iajs-686	12	49	y3	y3	PROPN
iajs-686	12	50	,	,	PUNCT
iajs-686	12	51	y4	y4	PROPN
iajs-686	12	52	]	]	PUNCT
iajs-686	12	53	,	,	PUNCT
iajs-686	12	54	this	this	PRON
iajs-686	12	55	is	be	AUX
iajs-686	12	56	denoted	denote	VERB
iajs-686	12	57	by	by	ADP
iajs-686	12	58	[	[	X
iajs-686	12	59	x1	x1	PROPN
iajs-686	12	60	,	,	PUNCT
iajs-686	12	61	x2	x2	PROPN
iajs-686	12	62	,	,	PUNCT
iajs-686	12	63	x3	x3	PROPN
iajs-686	12	64	,	,	PUNCT
iajs-686	12	65	x4	x4	PROPN
iajs-686	12	66	]	]	X
iajs-686	12	67			PROPN
iajs-686	12	68	[	[	X
iajs-686	12	69	y1	y1	INTJ
iajs-686	12	70	,	,	PUNCT
iajs-686	12	71	y2	y2	PROPN
iajs-686	12	72	,	,	PUNCT
iajs-686	12	73	y3	y3	PROPN
iajs-686	12	74	,	,	PUNCT
iajs-686	12	75	y4	y4	PROPN
iajs-686	12	76	]	]	X
iajs-686	12	77	..	..	PUNCT
iajs-686	13	1	also	also	ADV
iajs-686	13	2	a	a	DET
iajs-686	13	3	point	point	NOUN
iajs-686	13	4	p(x1	p(x1	NOUN
iajs-686	13	5	,	,	PUNCT
iajs-686	13	6	x2	x2	PROPN
iajs-686	13	7	,	,	PUNCT
iajs-686	13	8	x3	x3	PROPN
iajs-686	13	9	,	,	PUNCT
iajs-686	13	10	x4	x4	PROPN
iajs-686	13	11	)	)	PUNCT
iajs-686	13	12	is	be	AUX
iajs-686	13	13	incident	incident	NOUN
iajs-686	13	14	with	with	ADP
iajs-686	13	15	the	the	DET
iajs-686	13	16	plane	plane	NOUN
iajs-686	13	17			PROPN
iajs-686	14	1	[	[	X
iajs-686	14	2	a1	a1	NOUN
iajs-686	14	3	,	,	PUNCT
iajs-686	14	4	a2	a2	PROPN
iajs-686	14	5	,	,	PUNCT
iajs-686	14	6	a3	a3	NOUN
iajs-686	14	7	,	,	PUNCT
iajs-686	14	8	a4	a4	PROPN
iajs-686	14	9	]	]	PUNCT
iajs-686	14	10	iff	iff	PROPN
iajs-686	14	11	a1	a1	PROPN
iajs-686	14	12	x1	x1	PROPN
iajs-686	15	1	+	+	PROPN
iajs-686	15	2	a2	a2	PROPN
iajs-686	15	3	x2	x2	PROPN
iajs-686	16	1	+	+	NUM
iajs-686	16	2	a3	a3	NOUN
iajs-686	16	3	x3	x3	NOUN
iajs-686	16	4	+	+	CCONJ
iajs-686	16	5	a4	a4	NOUN
iajs-686	16	6	x4	x4	NOUN
iajs-686	16	7	=	=	NOUN
iajs-686	16	8	0	0	NUM
iajs-686	16	9	.	.	PUNCT
iajs-686	17	1	every	every	DET
iajs-686	17	2	line	line	NOUN
iajs-686	17	3	in	in	ADP
iajs-686	17	4	pg(3,q	pg(3,q	NOUN
iajs-686	17	5	)	)	PUNCT
iajs-686	17	6	contains	contain	VERB
iajs-686	17	7	q	q	NOUN
iajs-686	18	1	+	+	NUM
iajs-686	18	2	1	1	NUM
iajs-686	18	3	points	point	NOUN
iajs-686	18	4	and	and	CCONJ
iajs-686	18	5	every	every	DET
iajs-686	18	6	point	point	NOUN
iajs-686	18	7	is	be	AUX
iajs-686	18	8	on	on	ADP
iajs-686	18	9	exactly	exactly	ADV
iajs-686	18	10	q	q	ADJ
iajs-686	18	11	+	+	CCONJ
iajs-686	18	12	1	1	NUM
iajs-686	18	13	lines	line	NOUN
iajs-686	18	14	.	.	PUNCT
iajs-686	19	1	any	any	DET
iajs-686	19	2	plane	plane	NOUN
iajs-686	19	3	in	in	ADP
iajs-686	19	4	pg(3,q	pg(3,q	NOUN
iajs-686	19	5	)	)	PUNCT
iajs-686	19	6	contains	contain	VERB
iajs-686	19	7	exactly	exactly	ADV
iajs-686	19	8	q	q	ADJ
iajs-686	19	9	2	2	NUM
iajs-686	19	10	+	+	CCONJ
iajs-686	19	11	q	q	NOUN
iajs-686	19	12	+	+	NUM
iajs-686	19	13	1	1	NUM
iajs-686	19	14	points	point	NOUN
iajs-686	19	15	and	and	CCONJ
iajs-686	19	16	q2	q2	NOUN
iajs-686	19	17	+	+	CCONJ
iajs-686	19	18	q	q	PUNCT
iajs-686	20	1	+	+	NUM
iajs-686	20	2	1	1	NUM
iajs-686	20	3	lines	line	NOUN
iajs-686	20	4	.	.	PUNCT
iajs-686	21	1	every	every	DET
iajs-686	21	2	point	point	NOUN
iajs-686	21	3	is	be	AUX
iajs-686	21	4	on	on	ADP
iajs-686	21	5	q2	q2	NOUN
iajs-686	21	6	+	+	CCONJ
iajs-686	21	7	q	q	PUNCT
iajs-686	22	1	+	+	NUM
iajs-686	22	2	1	1	NUM
iajs-686	22	3	planes	plane	NOUN
iajs-686	22	4	and	and	CCONJ
iajs-686	22	5	is	be	AUX
iajs-686	22	6	on	on	ADP
iajs-686	22	7	q2	q2	NOUN
iajs-686	22	8	+	+	CCONJ
iajs-686	22	9	q	q	PUNCT
iajs-686	23	1	+	+	NUM
iajs-686	23	2	1	1	NUM
iajs-686	23	3	lines	line	NOUN
iajs-686	23	4	.	.	PUNCT
iajs-686	24	1	moreover	moreover	ADV
iajs-686	24	2	pg(3,q	pg(3,q	ADV
iajs-686	24	3	)	)	PUNCT
iajs-686	24	4	contains	contain	VERB
iajs-686	24	5	exactly	exactly	ADV
iajs-686	24	6	q	q	ADJ
iajs-686	24	7	3	3	NUM
iajs-686	24	8	+	+	CCONJ
iajs-686	24	9	q	q	NOUN
iajs-686	24	10	2	2	NUM
iajs-686	24	11	+	+	CCONJ
iajs-686	24	12	q	q	NOUN
iajs-686	24	13	+	+	NUM
iajs-686	24	14	1	1	NUM
iajs-686	24	15	points	point	NOUN
iajs-686	24	16	and	and	CCONJ
iajs-686	24	17	also	also	ADV
iajs-686	24	18	contains	contain	VERB
iajs-686	24	19	exactly	exactly	ADV
iajs-686	24	20	q3	q3	NOUN
iajs-686	24	21	+	+	CCONJ
iajs-686	24	22	q2	q2	NOUN
iajs-686	24	23	+	+	CCONJ
iajs-686	24	24	q	q	PUNCT
iajs-686	24	25	+	+	NUM
iajs-686	24	26	1	1	NUM
iajs-686	24	27	p	p	NOUN
iajs-686	24	28	lanes	lane	NOUN
iajs-686	24	29	.	.	PUNCT
iajs-686	25	1	definition	definition	NOUN
iajs-686	25	2	1	1	NUM
iajs-686	25	3	:	:	PUNCT
iajs-686	25	4	[	[	X
iajs-686	25	5	1,3	1,3	NUM
iajs-686	25	6	]	]	X
iajs-686	25	7	a	a	DET
iajs-686	25	8	(	(	PUNCT
iajs-686	25	9	k	k	NOUN
iajs-686	25	10	,	,	PUNCT
iajs-686	25	11	n	n	CCONJ
iajs-686	25	12	)	)	PUNCT
iajs-686	25	13	–	–	PUNCT
iajs-686	25	14	arc	arc	VERB
iajs-686	25	15	a	a	PRON
iajs-686	25	16	in	in	ADP
iajs-686	25	17	pg(3,q	pg(3,q	NOUN
iajs-686	25	18	)	)	PUNCT
iajs-686	25	19	is	be	AUX
iajs-686	25	20	a	a	DET
iajs-686	25	21	set	set	NOUN
iajs-686	25	22	of	of	ADP
iajs-686	25	23	k	k	PROPN
iajs-686	25	24	points	point	NOUN
iajs-686	25	25	such	such	ADJ
iajs-686	25	26	that	that	SCONJ
iajs-686	25	27	at	at	ADP
iajs-686	25	28	most	most	ADJ
iajs-686	25	29	n	n	NUM
iajs-686	25	30	points	point	NOUN
iajs-686	25	31	of	of	ADP
iajs-686	25	32	which	which	PRON
iajs-686	25	33	lie	lie	NOUN
iajs-686	25	34	in	in	ADP
iajs-686	25	35	any	any	DET
iajs-686	25	36	plane	plane	NOUN
iajs-686	25	37	,	,	PUNCT
iajs-686	25	38	n	n	PROPN
iajs-686	25	39			NUM
iajs-686	25	40	3	3	NUM
iajs-686	25	41	.	.	PUNCT
iajs-686	26	1	n	n	PRON
iajs-686	26	2	is	be	AUX
iajs-686	26	3	called	call	VERB
iajs-686	26	4	the	the	DET
iajs-686	26	5	degree	degree	NOUN
iajs-686	26	6	of	of	ADP
iajs-686	26	7	the	the	DET
iajs-686	26	8	(	(	PUNCT
iajs-686	26	9	k	k	NOUN
iajs-686	26	10	,	,	PUNCT
iajs-686	26	11	n	n	CCONJ
iajs-686	26	12	)	)	PUNCT
iajs-686	26	13	–	–	PUNCT
iajs-686	26	14	arc	arc	NOUN
iajs-686	26	15	.	.	PUNCT
iajs-686	27	1	مجلة	مجلة	NOUN
iajs-686	27	2	إبن	إبن	VERB
iajs-686	27	3	الھیثم	الھیثم	NOUN
iajs-686	27	4	للعلوم	للعلوم	NOUN
iajs-686	27	5	الصرفة	الصرفة	NOUN
iajs-686	27	6	و	و	PRON
iajs-686	27	7	التطبیقیة	التطبیقیة	PROPN
iajs-686	27	8	2012	2012	NUM
iajs-686	27	9	السنة	السنة	NOUN
iajs-686	28	1	25	25	NUM
iajs-686	28	2	المجلد	المجلد	NOUN
iajs-686	28	3	1	1	NUM
iajs-686	28	4	العدد	العدد	PROPN
iajs-686	28	5	ibn	ibn	PROPN
iajs-686	28	6	al	al	PROPN
iajs-686	28	7	-	-	PUNCT
iajs-686	28	8	haitham	haitham	PROPN
iajs-686	28	9	journal	journal	PROPN
iajs-686	28	10	for	for	ADP
iajs-686	28	11	pure	pure	ADJ
iajs-686	28	12	and	and	CCONJ
iajs-686	28	13	applied	apply	VERB
iajs-686	28	14	science	science	NOUN
iajs-686	28	15	no	no	NOUN
iajs-686	28	16	.	.	NOUN
iajs-686	28	17	1	1	NUM
iajs-686	28	18	vol	vol	NOUN
iajs-686	28	19	.	.	PUNCT
iajs-686	29	1	25	25	NUM
iajs-686	29	2	year	year	NOUN
iajs-686	29	3	2012	2012	NUM
iajs-686	29	4	definition	definition	NOUN
iajs-686	29	5	2	2	NUM
iajs-686	29	6	:	:	PUNCT
iajs-686	29	7	[	[	X
iajs-686	29	8	1,3	1,3	X
iajs-686	29	9	]	]	PUNCT
iajs-686	29	10	in	in	ADP
iajs-686	29	11	pg(3,q	pg(3,q	NOUN
iajs-686	29	12	)	)	PUNCT
iajs-686	29	13	,	,	PUNCT
iajs-686	29	14	if	if	SCONJ
iajs-686	29	15	a	a	PRON
iajs-686	29	16	is	be	AUX
iajs-686	29	17	any	any	DET
iajs-686	29	18	(	(	PUNCT
iajs-686	29	19	k	k	NOUN
iajs-686	29	20	,	,	PUNCT
iajs-686	29	21	n	n	CCONJ
iajs-686	29	22	)	)	PUNCT
iajs-686	29	23	–	–	PUNCT
iajs-686	29	24	arc	arc	NOUN
iajs-686	29	25	,	,	PUNCT
iajs-686	29	26	then	then	ADV
iajs-686	29	27	an	an	DET
iajs-686	29	28	(	(	PUNCT
iajs-686	29	29	n	n	CCONJ
iajs-686	29	30	-	-	PUNCT
iajs-686	29	31	secant	secant	ADJ
iajs-686	29	32	)	)	PUNCT
iajs-686	29	33	of	of	ADP
iajs-686	29	34	a	a	PRON
iajs-686	29	35	is	be	AUX
iajs-686	29	36	a	a	DET
iajs-686	29	37	plane	plane	NOUN
iajs-686	29	38			NOUN
iajs-686	29	39	such	such	ADJ
iajs-686	29	40	that	that	PRON
iajs-686	29	41			VERB
iajs-686	29	42			PUNCT
iajs-686	29	43	a=	a=	PROPN
iajs-686	29	44	n.	n.	NOUN
iajs-686	29	45	definition	definition	NOUN
iajs-686	29	46	3	3	NUM
iajs-686	29	47	:	:	PUNCT
iajs-686	29	48	[	[	X
iajs-686	29	49	1,3	1,3	NUM
iajs-686	29	50	]	]	PUNCT
iajs-686	29	51	let	let	VERB
iajs-686	29	52	ti	ti	PRON
iajs-686	29	53	be	be	AUX
iajs-686	29	54	the	the	DET
iajs-686	29	55	total	total	ADJ
iajs-686	29	56	number	number	NOUN
iajs-686	29	57	of	of	ADP
iajs-686	29	58	the	the	DET
iajs-686	29	59	i	i	NOUN
iajs-686	29	60	–	–	PUNCT
iajs-686	29	61	secants	secant	NOUN
iajs-686	29	62	of	of	ADP
iajs-686	29	63	a	a	DET
iajs-686	29	64	(	(	PUNCT
iajs-686	29	65	k	k	NOUN
iajs-686	29	66	,	,	PUNCT
iajs-686	29	67	n	n	CCONJ
iajs-686	29	68	)	)	PUNCT
iajs-686	29	69	–	–	PUNCT
iajs-686	29	70	arc	arc	NOUN
iajs-686	29	71	a	a	PRON
iajs-686	29	72	,	,	PUNCT
iajs-686	29	73	then	then	ADV
iajs-686	29	74	the	the	DET
iajs-686	29	75	type	type	NOUN
iajs-686	29	76	of	of	ADP
iajs-686	29	77	a	a	DET
iajs-686	29	78	denoted	denote	VERB
iajs-686	29	79	by	by	ADP
iajs-686	29	80	(	(	PUNCT
iajs-686	29	81	tn	tn	PROPN
iajs-686	29	82	,	,	PUNCT
iajs-686	29	83	tn	tn	PROPN
iajs-686	29	84	–	–	PUNCT
iajs-686	29	85	1	1	NUM
iajs-686	29	86	,	,	PUNCT
iajs-686	29	87			PROPN
iajs-686	29	88	,	,	PUNCT
iajs-686	29	89	t0	t0	PROPN
iajs-686	29	90	)	)	PUNCT
iajs-686	29	91	.	.	PUNCT
iajs-686	30	1	definition	definition	NOUN
iajs-686	30	2	4	4	NUM
iajs-686	30	3	:	:	PUNCT
iajs-686	30	4	[	[	X
iajs-686	30	5	1,3	1,3	NUM
iajs-686	30	6	]	]	X
iajs-686	30	7	let	let	NOUN
iajs-686	30	8	(	(	PUNCT
iajs-686	30	9	k1,n	k1,n	PROPN
iajs-686	30	10	)	)	PUNCT
iajs-686	30	11	–	–	PUNCT
iajs-686	30	12	arc	arc	NOUN
iajs-686	30	13	a	a	DET
iajs-686	30	14	is	be	AUX
iajs-686	30	15	of	of	ADP
iajs-686	30	16	type	type	NOUN
iajs-686	30	17	(	(	PUNCT
iajs-686	30	18	tn	tn	PROPN
iajs-686	30	19	,	,	PUNCT
iajs-686	30	20			PROPN
iajs-686	30	21	,	,	PUNCT
iajs-686	30	22	t0	t0	PROPN
iajs-686	30	23	)	)	PUNCT
iajs-686	30	24	and	and	CCONJ
iajs-686	30	25	(	(	PUNCT
iajs-686	30	26	k2,n	k2,n	PROPN
iajs-686	30	27	)	)	PUNCT
iajs-686	30	28	–	–	PUNCT
iajs-686	30	29	arc	arc	NOUN
iajs-686	30	30	b	b	NOUN
iajs-686	30	31	is	be	AUX
iajs-686	30	32	of	of	ADP
iajs-686	30	33	type	type	NOUN
iajs-686	30	34	(	(	PUNCT
iajs-686	30	35	sn	sn	PROPN
iajs-686	30	36	,	,	PUNCT
iajs-686	30	37			PROPN
iajs-686	30	38	,	,	PUNCT
iajs-686	30	39	s0	s0	PROPN
iajs-686	30	40	)	)	PUNCT
iajs-686	30	41	,	,	PUNCT
iajs-686	30	42	then	then	ADV
iajs-686	30	43	a	a	PRON
iajs-686	30	44	and	and	CCONJ
iajs-686	30	45	b	b	NOUN
iajs-686	30	46	are	be	AUX
iajs-686	30	47	projectively	projectively	ADV
iajs-686	30	48	equivalent	equivalent	ADJ
iajs-686	30	49	iff	iff	NOUN
iajs-686	30	50	ti	ti	NOUN
iajs-686	30	51	=	=	SYM
iajs-686	30	52	si	si	PROPN
iajs-686	30	53	.	.	NOUN
iajs-686	30	54	definition	definition	NOUN
iajs-686	30	55	5	5	NUM
iajs-686	30	56	:	:	PUNCT
iajs-686	31	1	[	[	X
iajs-686	31	2	1,3	1,3	X
iajs-686	31	3	]	]	X
iajs-686	31	4	if	if	SCONJ
iajs-686	31	5	a	a	DET
iajs-686	31	6	point	point	NOUN
iajs-686	31	7	n	n	ADV
iajs-686	31	8	not	not	PART
iajs-686	31	9	on	on	ADP
iajs-686	31	10	a	a	DET
iajs-686	31	11	(	(	PUNCT
iajs-686	31	12	k	k	NOUN
iajs-686	31	13	,	,	PUNCT
iajs-686	31	14	n)-arc	n)-arc	AUX
iajs-686	31	15	a	a	PRON
iajs-686	31	16	has	have	VERB
iajs-686	31	17	index	index	NOUN
iajs-686	31	18	i	i	PRON
iajs-686	31	19	iff	iff	VERB
iajs-686	31	20	there	there	PRON
iajs-686	31	21	are	be	VERB
iajs-686	31	22	exactly	exactly	ADV
iajs-686	31	23	i(n	i(n	NOUN
iajs-686	31	24	–	–	PUNCT
iajs-686	31	25	secants	secant	NOUN
iajs-686	31	26	)	)	PUNCT
iajs-686	31	27	of	of	ADP
iajs-686	31	28	a	a	DET
iajs-686	31	29	through	through	ADP
iajs-686	31	30	n	n	CCONJ
iajs-686	31	31	,	,	PUNCT
iajs-686	31	32	one	one	PRON
iajs-686	31	33	can	can	AUX
iajs-686	31	34	denote	denote	VERB
iajs-686	31	35	the	the	DET
iajs-686	31	36	number	number	NOUN
iajs-686	31	37	of	of	ADP
iajs-686	31	38	points	point	NOUN
iajs-686	31	39	n	n	PROPN
iajs-686	31	40	of	of	ADP
iajs-686	31	41	index	index	NOUN
iajs-686	31	42	i	i	PRON
iajs-686	31	43	by	by	ADP
iajs-686	31	44	ci	ci	PROPN
iajs-686	31	45	.	.	PROPN
iajs-686	31	46	definition	definition	NOUN
iajs-686	31	47	6	6	NUM
iajs-686	31	48	:	:	PUNCT
iajs-686	31	49	if	if	SCONJ
iajs-686	31	50	(	(	PUNCT
iajs-686	31	51	k	k	NOUN
iajs-686	31	52	,	,	PUNCT
iajs-686	31	53	n)-arc	n)-arc	AUX
iajs-686	31	54	a	a	PRON
iajs-686	31	55	is	be	AUX
iajs-686	31	56	not	not	PART
iajs-686	31	57	contained	contain	VERB
iajs-686	31	58	in	in	ADP
iajs-686	31	59	any	any	DET
iajs-686	31	60	(	(	PUNCT
iajs-686	31	61	k	k	PROPN
iajs-686	31	62	+	+	PROPN
iajs-686	31	63	1,n)-arc	1,n)-arc	NUM
iajs-686	31	64	,	,	PUNCT
iajs-686	31	65	then	then	ADV
iajs-686	31	66	a	a	PRON
iajs-686	31	67	is	be	AUX
iajs-686	31	68	called	call	VERB
iajs-686	31	69	a	a	DET
iajs-686	31	70	complete	complete	ADJ
iajs-686	31	71	(	(	PUNCT
iajs-686	31	72	k	k	NOUN
iajs-686	31	73	,	,	PUNCT
iajs-686	31	74	n)-arc	n)-arc	X
iajs-686	31	75	.	.	PUNCT
iajs-686	32	1	remark	remark	NOUN
iajs-686	32	2	:	:	PUNCT
iajs-686	32	3	from	from	ADP
iajs-686	32	4	definition	definition	NOUN
iajs-686	32	5	5	5	NUM
iajs-686	32	6	,	,	PUNCT
iajs-686	32	7	it	it	PRON
iajs-686	32	8	is	be	AUX
iajs-686	32	9	concluded	conclude	VERB
iajs-686	32	10	that	that	SCONJ
iajs-686	32	11	the	the	DET
iajs-686	32	12	(	(	PUNCT
iajs-686	32	13	k	k	NOUN
iajs-686	32	14	,	,	PUNCT
iajs-686	32	15	n)-arc	n)-arc	X
iajs-686	32	16	is	be	AUX
iajs-686	32	17	complete	complete	ADJ
iajs-686	32	18	iff	iff	PROPN
iajs-686	32	19	c0	c0	PROPN
iajs-686	32	20	=	=	PROPN
iajs-686	32	21	0	0	X
iajs-686	32	22	.	.	PUNCT
iajs-686	33	1	thus	thus	ADV
iajs-686	33	2	the	the	DET
iajs-686	33	3	(	(	PUNCT
iajs-686	33	4	k	k	NOUN
iajs-686	33	5	,	,	PUNCT
iajs-686	33	6	n)-arc	n)-arc	X
iajs-686	33	7	is	be	AUX
iajs-686	33	8	complete	complete	ADJ
iajs-686	33	9	iff	iff	NOUN
iajs-686	33	10	every	every	DET
iajs-686	33	11	point	point	NOUN
iajs-686	33	12	of	of	ADP
iajs-686	33	13	pg(3,q	pg(3,q	NOUN
iajs-686	33	14	)	)	PUNCT
iajs-686	33	15	lies	lie	VERB
iajs-686	33	16	on	on	ADP
iajs-686	33	17	some	some	DET
iajs-686	33	18	n	n	NOUN
iajs-686	33	19	-	-	PUNCT
iajs-686	33	20	secant	secant	NOUN
iajs-686	33	21	of	of	ADP
iajs-686	33	22	the	the	DET
iajs-686	33	23	(	(	PUNCT
iajs-686	33	24	k	k	NOUN
iajs-686	33	25	,	,	PUNCT
iajs-686	33	26	n)-arc	n)-arc	X
iajs-686	33	27	.	.	PUNCT
iajs-686	34	1	1the	1the	ADJ
iajs-686	34	2	construction	construction	NOUN
iajs-686	34	3	of	of	ADP
iajs-686	34	4	complete	complete	ADJ
iajs-686	34	5	(	(	PUNCT
iajs-686	34	6	k	k	NOUN
iajs-686	34	7	,	,	PUNCT
iajs-686	34	8	n)-arcs	n)-arcs	PUNCT
iajs-686	34	9	in	in	ADP
iajs-686	34	10	pg(3,2	pg(3,2	NOUN
iajs-686	34	11	)	)	PUNCT
iajs-686	34	12	1.1	1.1	NUM
iajs-686	34	13	the	the	DET
iajs-686	34	14	construction	construction	NOUN
iajs-686	34	15	of	of	ADP
iajs-686	34	16	complete	complete	ADJ
iajs-686	34	17	(	(	PUNCT
iajs-686	34	18	k,3)-arcs	k,3)-arcs	PROPN
iajs-686	34	19	in	in	ADP
iajs-686	34	20	pg(3,2	pg(3,2	NOUN
iajs-686	34	21	):	):	PUNCT
iajs-686	34	22	pg(3,q	pg(3,q	X
iajs-686	34	23	)	)	PUNCT
iajs-686	34	24	contains	contain	VERB
iajs-686	34	25	15	15	NUM
iajs-686	34	26	points	point	NOUN
iajs-686	34	27	and	and	CCONJ
iajs-686	34	28	15	15	NUM
iajs-686	34	29	planes	plane	NOUN
iajs-686	34	30	such	such	ADJ
iajs-686	34	31	that	that	SCONJ
iajs-686	34	32	each	each	DET
iajs-686	34	33	point	point	NOUN
iajs-686	34	34	is	be	AUX
iajs-686	34	35	on	on	ADP
iajs-686	34	36	7	7	NUM
iajs-686	34	37	planes	plane	NOUN
iajs-686	34	38	and	and	CCONJ
iajs-686	34	39	every	every	DET
iajs-686	34	40	plane	plane	NOUN
iajs-686	34	41	contains	contain	VERB
iajs-686	34	42	7	7	NUM
iajs-686	34	43	points	point	NOUN
iajs-686	34	44	(	(	PUNCT
iajs-686	34	45	see	see	VERB
iajs-686	34	46	table	table	NOUN
iajs-686	34	47	1	1	NUM
iajs-686	34	48	)	)	PUNCT
iajs-686	34	49	.	.	PUNCT
iajs-686	35	1	the	the	DET
iajs-686	35	2	set	set	NOUN
iajs-686	35	3	a	a	X
iajs-686	35	4	=	=	PUNCT
iajs-686	35	5	{	{	PUNCT
iajs-686	35	6	1	1	NUM
iajs-686	35	7	,	,	PUNCT
iajs-686	35	8	2	2	NUM
iajs-686	35	9	,	,	PUNCT
iajs-686	35	10	3	3	NUM
iajs-686	35	11	,	,	PUNCT
iajs-686	35	12	4	4	NUM
iajs-686	35	13	,	,	PUNCT
iajs-686	35	14	13	13	NUM
iajs-686	35	15	}	}	PUNCT
iajs-686	35	16	is	be	AUX
iajs-686	35	17	taken	take	VERB
iajs-686	35	18	which	which	PRON
iajs-686	35	19	is	be	AUX
iajs-686	35	20	the	the	DET
iajs-686	35	21	set	set	NOUN
iajs-686	35	22	of	of	ADP
iajs-686	35	23	unit	unit	NOUN
iajs-686	35	24	and	and	CCONJ
iajs-686	35	25	reference	reference	NOUN
iajs-686	35	26	points	point	NOUN
iajs-686	35	27	:	:	PUNCT
iajs-686	35	28	1(1,0,0,0	1(1,0,0,0	NUM
iajs-686	35	29	)	)	PUNCT
iajs-686	35	30	,	,	PUNCT
iajs-686	35	31	2(0,1,0,0	2(0,1,0,0	NUM
iajs-686	35	32	)	)	PUNCT
iajs-686	35	33	,	,	PUNCT
iajs-686	35	34	3(0,0,1,0	3(0,0,1,0	NUM
iajs-686	35	35	)	)	PUNCT
iajs-686	35	36	,	,	PUNCT
iajs-686	35	37	4(0,0,0,1	4(0,0,0,1	CCONJ
iajs-686	35	38	)	)	PUNCT
iajs-686	35	39	,	,	PUNCT
iajs-686	35	40	13(1,1,1,1	13(1,1,1,1	NUM
iajs-686	35	41	)	)	PUNCT
iajs-686	35	42	.	.	PUNCT
iajs-686	36	1	this	this	DET
iajs-686	36	2	set	set	NOUN
iajs-686	36	3	contains	contain	VERB
iajs-686	36	4	five	five	NUM
iajs-686	36	5	points	point	NOUN
iajs-686	36	6	no	no	DET
iajs-686	36	7	four	four	NUM
iajs-686	36	8	of	of	ADP
iajs-686	36	9	them	they	PRON
iajs-686	36	10	are	be	AUX
iajs-686	36	11	on	on	ADP
iajs-686	36	12	a	a	DET
iajs-686	36	13	plane	plane	NOUN
iajs-686	36	14	since	since	SCONJ
iajs-686	36	15	a	a	DET
iajs-686	36	16	intersects	intersect	NOUN
iajs-686	36	17	any	any	DET
iajs-686	36	18	plane	plane	NOUN
iajs-686	36	19	in	in	ADP
iajs-686	36	20	at	at	ADV
iajs-686	36	21	most	most	ADV
iajs-686	36	22	three	three	NUM
iajs-686	36	23	points	point	NOUN
iajs-686	36	24	.	.	PUNCT
iajs-686	37	1	thus	thus	ADV
iajs-686	37	2	a	a	PRON
iajs-686	37	3	is	be	AUX
iajs-686	37	4	a	a	DET
iajs-686	37	5	(	(	PUNCT
iajs-686	37	6	5,3)-arc	5,3)-arc	NUM
iajs-686	37	7	.	.	PUNCT
iajs-686	38	1	a	a	PRON
iajs-686	38	2	is	be	AUX
iajs-686	38	3	a	a	DET
iajs-686	38	4	complete	complete	ADJ
iajs-686	38	5	(	(	PUNCT
iajs-686	38	6	5,3	5,3	NUM
iajs-686	38	7	)	)	PUNCT
iajs-686	38	8	–	–	PUNCT
iajs-686	38	9	arc	arc	NOUN
iajs-686	38	10	since	since	SCONJ
iajs-686	38	11	every	every	DET
iajs-686	38	12	point	point	NOUN
iajs-686	38	13	of	of	ADP
iajs-686	38	14	pg(3,2	pg(3,2	NOUN
iajs-686	38	15	)	)	PUNCT
iajs-686	38	16	not	not	PART
iajs-686	38	17	in	in	ADP
iajs-686	38	18	a	a	PRON
iajs-686	38	19	is	be	AUX
iajs-686	38	20	on	on	ADP
iajs-686	38	21	a	a	DET
iajs-686	38	22	3	3	NUM
iajs-686	38	23	-	-	PUNCT
iajs-686	38	24	secant	secant	ADJ
iajs-686	38	25	;	;	PUNCT
iajs-686	38	26	that	that	PRON
iajs-686	38	27	is	is	ADV
iajs-686	38	28	,	,	PUNCT
iajs-686	38	29	there	there	PRON
iajs-686	38	30	are	be	VERB
iajs-686	38	31	no	no	DET
iajs-686	38	32	points	point	NOUN
iajs-686	38	33	of	of	ADP
iajs-686	38	34	index	index	NOUN
iajs-686	38	35	zero	zero	NUM
iajs-686	38	36	for	for	ADP
iajs-686	38	37	a.	a.	NOUN
iajs-686	38	38	this	this	PRON
iajs-686	38	39	is	be	AUX
iajs-686	38	40	equivalent	equivalent	ADJ
iajs-686	38	41	to	to	ADP
iajs-686	38	42	c0	c0	PROPN
iajs-686	38	43	=	=	PROPN
iajs-686	38	44	0	0	NUM
iajs-686	38	45	.	.	NOUN
iajs-686	38	46	1.2	1.2	NUM
iajs-686	38	47	the	the	DET
iajs-686	38	48	construction	construction	NOUN
iajs-686	38	49	of	of	ADP
iajs-686	38	50	complete	complete	ADJ
iajs-686	38	51	(	(	PUNCT
iajs-686	38	52	k,4	k,4	NOUN
iajs-686	38	53	)	)	PUNCT
iajs-686	38	54	–	–	PUNCT
iajs-686	38	55	arcs	arc	NOUN
iajs-686	38	56	in	in	ADP
iajs-686	38	57	pg(3,2	pg(3,2	NOUN
iajs-686	38	58	)	)	PUNCT
iajs-686	38	59	:	:	PUNCT
iajs-686	38	60	the	the	DET
iajs-686	38	61	distinct	distinct	ADJ
iajs-686	38	62	(	(	PUNCT
iajs-686	38	63	k,4	k,4	NOUN
iajs-686	38	64	)	)	PUNCT
iajs-686	38	65	–	–	PUNCT
iajs-686	38	66	arcs	arc	NOUN
iajs-686	38	67	can	can	AUX
iajs-686	38	68	be	be	AUX
iajs-686	38	69	constructed	construct	VERB
iajs-686	38	70	by	by	ADP
iajs-686	38	71	adding	add	VERB
iajs-686	38	72	to	to	ADP
iajs-686	38	73	a	a	PRON
iajs-686	38	74	in	in	ADP
iajs-686	38	75	each	each	DET
iajs-686	38	76	time	time	NOUN
iajs-686	38	77	one	one	NUM
iajs-686	38	78	point	point	NOUN
iajs-686	38	79	from	from	ADP
iajs-686	38	80	the	the	DET
iajs-686	38	81	remaining	remain	VERB
iajs-686	38	82	ten	ten	NUM
iajs-686	38	83	points	point	NOUN
iajs-686	38	84	of	of	ADP
iajs-686	38	85	pg(3,2	pg(3,2	NOUN
iajs-686	38	86	)	)	PUNCT
iajs-686	38	87	as	as	SCONJ
iajs-686	38	88	follows	follow	VERB
iajs-686	38	89	:	:	PUNCT
iajs-686	38	90	a1	a1	PROPN
iajs-686	38	91	=	=	SYM
iajs-686	38	92	a{5	a{5	NOUN
iajs-686	38	93	}	}	PUNCT
iajs-686	38	94	,	,	PUNCT
iajs-686	38	95	a2	a2	PROPN
iajs-686	38	96	=	=	SYM
iajs-686	38	97	a{6	a{6	NOUN
iajs-686	38	98	}	}	PUNCT
iajs-686	38	99	,	,	PUNCT
iajs-686	38	100	a3	a3	NOUN
iajs-686	38	101	=	=	SYM
iajs-686	38	102	a{7	a{7	NOUN
iajs-686	38	103	}	}	PUNCT
iajs-686	38	104	,	,	PUNCT
iajs-686	38	105	a4	a4	PROPN
iajs-686	38	106	=	=	SYM
iajs-686	38	107	a{8	a{8	NOUN
iajs-686	38	108	}	}	PUNCT
iajs-686	38	109	,	,	PUNCT
iajs-686	38	110	a5	a5	PROPN
iajs-686	38	111	=	=	SYM
iajs-686	38	112	a{9	a{9	NOUN
iajs-686	38	113	}	}	PUNCT
iajs-686	38	114	,	,	PUNCT
iajs-686	38	115	a6	a6	NOUN
iajs-686	38	116	=	=	NOUN
iajs-686	38	117	a{10	a{10	NOUN
iajs-686	38	118	}	}	PUNCT
iajs-686	38	119	,	,	PUNCT
iajs-686	38	120	a7	a7	PROPN
iajs-686	38	121	=	=	PROPN
iajs-686	38	122	a{11	a{11	NOUN
iajs-686	38	123	}	}	PUNCT
iajs-686	38	124	,	,	PUNCT
iajs-686	38	125	a8	a8	PROPN
iajs-686	38	126	=	=	SYM
iajs-686	38	127	a{12	a{12	NUM
iajs-686	38	128	}	}	PUNCT
iajs-686	38	129	,	,	PUNCT
iajs-686	38	130	a9	a9	NOUN
iajs-686	38	131	=	=	SYM
iajs-686	38	132	a{14	a{14	NOUN
iajs-686	38	133	}	}	PUNCT
iajs-686	38	134	,	,	PUNCT
iajs-686	38	135	a10	a10	NOUN
iajs-686	38	136	=	=	SYM
iajs-686	38	137	a{15	a{15	NOUN
iajs-686	38	138	}	}	PUNCT
iajs-686	38	139	.	.	PUNCT
iajs-686	39	1	by	by	ADP
iajs-686	39	2	definition	definition	NOUN
iajs-686	39	3	4	4	NUM
iajs-686	39	4	of	of	ADP
iajs-686	39	5	projectively	projectively	ADV
iajs-686	39	6	equivalent	equivalent	ADJ
iajs-686	39	7	(	(	PUNCT
iajs-686	39	8	k	k	NOUN
iajs-686	39	9	,	,	PUNCT
iajs-686	39	10	n	n	CCONJ
iajs-686	39	11	)	)	PUNCT
iajs-686	39	12	–	–	PUNCT
iajs-686	39	13	arcs	arc	NOUN
iajs-686	39	14	,	,	PUNCT
iajs-686	39	15	there	there	PRON
iajs-686	39	16	is	be	VERB
iajs-686	39	17	only	only	ADV
iajs-686	39	18	one	one	NUM
iajs-686	39	19	(	(	PUNCT
iajs-686	39	20	6,4	6,4	NUM
iajs-686	39	21	)	)	PUNCT
iajs-686	39	22	–	–	PUNCT
iajs-686	39	23	arc	arc	NOUN
iajs-686	39	24	since	since	SCONJ
iajs-686	39	25	the	the	DET
iajs-686	39	26	arcs	arcs	NOUN
iajs-686	39	27	a1	a1	PROPN
iajs-686	39	28	,	,	PUNCT
iajs-686	39	29			PROPN
iajs-686	39	30	,	,	PUNCT
iajs-686	39	31	a10	a10	PROPN
iajs-686	39	32	are	be	AUX
iajs-686	39	33	projectively	projectively	ADV
iajs-686	39	34	equivalent	equivalent	ADJ
iajs-686	39	35	.	.	PUNCT
iajs-686	40	1	for	for	ADP
iajs-686	40	2	t0=0	t0=0	PROPN
iajs-686	40	3	,	,	PUNCT
iajs-686	40	4	t1=2	t1=2	PROPN
iajs-686	40	5	,	,	PUNCT
iajs-686	40	6	t2=3	t2=3	PROPN
iajs-686	40	7	,	,	PUNCT
iajs-686	40	8	t3=6	t3=6	PROPN
iajs-686	40	9	,	,	PUNCT
iajs-686	40	10	t4=4	t4=4	PROPN
iajs-686	40	11	.	.	PUNCT
iajs-686	41	1	thus	thus	ADV
iajs-686	41	2	we	we	PRON
iajs-686	41	3	have	have	VERB
iajs-686	41	4	b	b	NOUN
iajs-686	41	5	=	=	NOUN
iajs-686	41	6	a{5}={1,2,3,4,5,13	a{5}={1,2,3,4,5,13	NOUN
iajs-686	41	7	}	}	PUNCT
iajs-686	41	8	is	be	AUX
iajs-686	41	9	a	a	DET
iajs-686	41	10	complete	complete	ADJ
iajs-686	41	11	(	(	PUNCT
iajs-686	41	12	6,4	6,4	NUM
iajs-686	41	13	)	)	PUNCT
iajs-686	41	14	–	–	PUNCT
iajs-686	41	15	arc	arc	NOUN
iajs-686	41	16	,	,	PUNCT
iajs-686	41	17	since	since	SCONJ
iajs-686	41	18	every	every	DET
iajs-686	41	19	point	point	NOUN
iajs-686	41	20	not	not	PART
iajs-686	41	21	in	in	ADP
iajs-686	41	22	b	b	PROPN
iajs-686	41	23	is	be	AUX
iajs-686	41	24	on	on	ADP
iajs-686	41	25	a	a	DET
iajs-686	41	26	4	4	NUM
iajs-686	41	27	–	–	PUNCT
iajs-686	41	28	secant	secant	ADJ
iajs-686	41	29	and	and	CCONJ
iajs-686	41	30	b	b	NOUN
iajs-686	41	31	intersects	intersect	VERB
iajs-686	41	32	any	any	DET
iajs-686	41	33	plane	plane	NOUN
iajs-686	41	34	in	in	ADP
iajs-686	41	35	at	at	ADP
iajs-686	41	36	most	most	ADV
iajs-686	41	37	4	4	NUM
iajs-686	41	38	points	point	NOUN
iajs-686	41	39	,	,	PUNCT
iajs-686	41	40	that	that	PRON
iajs-686	41	41	is	be	AUX
iajs-686	41	42	c0	c0	NOUN
iajs-686	41	43	=	=	SYM
iajs-686	41	44	0	0	X
iajs-686	41	45	.	.	X
iajs-686	42	1	مجلة	مجلة	VERB
iajs-686	42	2	إبن	إبن	VERB
iajs-686	42	3	الھیثم	الھیثم	NOUN
iajs-686	42	4	للعلوم	للعلوم	NOUN
iajs-686	42	5	الصرفة	الصرفة	NOUN
iajs-686	42	6	و	و	PRON
iajs-686	42	7	التطبیقیة	التطبیقیة	PROPN
iajs-686	42	8	2012	2012	NUM
iajs-686	42	9	السنة	السنة	NOUN
iajs-686	43	1	25	25	NUM
iajs-686	43	2	المجلد	المجلد	NOUN
iajs-686	43	3	1	1	NUM
iajs-686	43	4	العدد	العدد	PROPN
iajs-686	43	5	ibn	ibn	PROPN
iajs-686	43	6	al	al	PROPN
iajs-686	43	7	-	-	PUNCT
iajs-686	43	8	haitham	haitham	PROPN
iajs-686	43	9	journal	journal	PROPN
iajs-686	43	10	for	for	ADP
iajs-686	43	11	pure	pure	ADJ
iajs-686	43	12	and	and	CCONJ
iajs-686	43	13	applied	apply	VERB
iajs-686	43	14	science	science	NOUN
iajs-686	43	15	no	no	NOUN
iajs-686	43	16	.	.	NOUN
iajs-686	43	17	1	1	NUM
iajs-686	43	18	vol	vol	NOUN
iajs-686	43	19	.	.	PUNCT
iajs-686	44	1	25	25	NUM
iajs-686	44	2	year	year	NOUN
iajs-686	44	3	2012	2012	NUM
iajs-686	44	4	1.3	1.3	NUM
iajs-686	44	5	the	the	DET
iajs-686	44	6	construction	construction	NOUN
iajs-686	44	7	of	of	ADP
iajs-686	44	8	complete	complete	ADJ
iajs-686	44	9	(	(	PUNCT
iajs-686	44	10	k,5	k,5	PROPN
iajs-686	44	11	)	)	PUNCT
iajs-686	44	12	–	–	PUNCT
iajs-686	44	13	arcs	arc	NOUN
iajs-686	44	14	in	in	ADP
iajs-686	44	15	pg(3,2	pg(3,2	NOUN
iajs-686	44	16	)	)	PUNCT
iajs-686	44	17	:	:	PUNCT
iajs-686	44	18	the	the	DET
iajs-686	44	19	arc	arc	NOUN
iajs-686	44	20	b	b	PROPN
iajs-686	44	21	is	be	AUX
iajs-686	44	22	a	a	DET
iajs-686	44	23	complete	complete	ADJ
iajs-686	44	24	(	(	PUNCT
iajs-686	44	25	6,4	6,4	NUM
iajs-686	44	26	)	)	PUNCT
iajs-686	44	27	–	–	PUNCT
iajs-686	44	28	arc	arc	NOUN
iajs-686	44	29	.	.	PUNCT
iajs-686	45	1	the	the	DET
iajs-686	45	2	distinct	distinct	ADJ
iajs-686	45	3	(	(	PUNCT
iajs-686	45	4	k,5	k,5	PROPN
iajs-686	45	5	)	)	PUNCT
iajs-686	45	6	–	–	PUNCT
iajs-686	45	7	arcs	arc	NOUN
iajs-686	45	8	can	can	AUX
iajs-686	45	9	be	be	AUX
iajs-686	45	10	constructed	construct	VERB
iajs-686	45	11	by	by	ADP
iajs-686	45	12	adding	add	VERB
iajs-686	45	13	to	to	ADP
iajs-686	45	14	b	b	NOUN
iajs-686	45	15	in	in	ADP
iajs-686	45	16	each	each	DET
iajs-686	45	17	time	time	NOUN
iajs-686	45	18	one	one	NUM
iajs-686	45	19	of	of	ADP
iajs-686	45	20	the	the	DET
iajs-686	45	21	remaining	remain	VERB
iajs-686	45	22	nine	nine	NUM
iajs-686	45	23	points	point	NOUN
iajs-686	45	24	as	as	SCONJ
iajs-686	45	25	follows	follow	VERB
iajs-686	45	26	:	:	PUNCT
iajs-686	45	27	b1	b1	PROPN
iajs-686	45	28	=	=	SYM
iajs-686	45	29	b{6	b{6	PROPN
iajs-686	45	30	}	}	PUNCT
iajs-686	45	31	,	,	PUNCT
iajs-686	45	32	b2	b2	NOUN
iajs-686	45	33	=	=	NOUN
iajs-686	45	34	b{7	b{7	NOUN
iajs-686	45	35	}	}	PUNCT
iajs-686	45	36	,	,	PUNCT
iajs-686	45	37	b3	b3	PROPN
iajs-686	45	38	=	=	SYM
iajs-686	45	39	b{8	b{8	PROPN
iajs-686	45	40	}	}	PUNCT
iajs-686	45	41	,	,	PUNCT
iajs-686	45	42	b4	b4	NOUN
iajs-686	45	43	=	=	SYM
iajs-686	45	44	b{9	b{9	PROPN
iajs-686	45	45	}	}	PUNCT
iajs-686	45	46	,	,	PUNCT
iajs-686	45	47	b5	b5	PROPN
iajs-686	45	48	=	=	SYM
iajs-686	45	49	b{10	b{10	NOUN
iajs-686	45	50	}	}	PUNCT
iajs-686	45	51	,	,	PUNCT
iajs-686	45	52	b6=	b6=	PROPN
iajs-686	45	53	b{11	b{11	PROPN
iajs-686	45	54	}	}	PUNCT
iajs-686	45	55	,	,	PUNCT
iajs-686	45	56	b7	b7	PROPN
iajs-686	45	57	=	=	PROPN
iajs-686	45	58	b{12	b{12	PROPN
iajs-686	45	59	}	}	PUNCT
iajs-686	45	60	,	,	PUNCT
iajs-686	45	61	b8	b8	PROPN
iajs-686	45	62	=	=	NOUN
iajs-686	45	63	b{14	b{14	NOUN
iajs-686	45	64	}	}	PUNCT
iajs-686	45	65	,	,	PUNCT
iajs-686	45	66	b9	b9	NOUN
iajs-686	45	67	=	=	SYM
iajs-686	45	68	b{15	b{15	ADJ
iajs-686	45	69	}	}	PUNCT
iajs-686	45	70	.	.	PUNCT
iajs-686	46	1	by	by	ADP
iajs-686	46	2	definition	definition	NOUN
iajs-686	46	3	4	4	NUM
iajs-686	46	4	,	,	PUNCT
iajs-686	46	5	there	there	PRON
iajs-686	46	6	are	be	VERB
iajs-686	46	7	only	only	ADV
iajs-686	46	8	two	two	NUM
iajs-686	46	9	projectively	projectively	ADV
iajs-686	46	10	distinct	distinct	ADJ
iajs-686	46	11	(	(	PUNCT
iajs-686	46	12	7,5	7,5	NUM
iajs-686	46	13	)	)	PUNCT
iajs-686	46	14	–	–	PUNCT
iajs-686	46	15	arcs	arc	NOUN
iajs-686	46	16	since	since	SCONJ
iajs-686	46	17	the	the	DET
iajs-686	46	18	arcs	arcs	PROPN
iajs-686	46	19	b1	b1	NOUN
iajs-686	46	20	,	,	PUNCT
iajs-686	46	21	b4	b4	NOUN
iajs-686	46	22	,	,	PUNCT
iajs-686	46	23	b5	b5	PROPN
iajs-686	46	24	,	,	PUNCT
iajs-686	46	25	b7	b7	PROPN
iajs-686	46	26	,	,	PUNCT
iajs-686	46	27	b8	b8	PROPN
iajs-686	46	28	,	,	PUNCT
iajs-686	46	29	b9	b9	PROPN
iajs-686	46	30	are	be	AUX
iajs-686	46	31	projectively	projectively	ADV
iajs-686	46	32	equivalent	equivalent	ADJ
iajs-686	46	33	,	,	PUNCT
iajs-686	46	34	for	for	ADP
iajs-686	46	35	t0=0	t0=0	NOUN
iajs-686	46	36	,	,	PUNCT
iajs-686	46	37	t1=1	t1=1	PROPN
iajs-686	46	38	,	,	PUNCT
iajs-686	46	39	t2=2	t2=2	PROPN
iajs-686	46	40	,	,	PUNCT
iajs-686	46	41	t3=5	t3=5	PROPN
iajs-686	46	42	,	,	PUNCT
iajs-686	46	43	t4=6	t4=6	PROPN
iajs-686	46	44	,	,	PUNCT
iajs-686	46	45	t5=1	t5=1	PROPN
iajs-686	46	46	and	and	CCONJ
iajs-686	46	47	the	the	DET
iajs-686	46	48	arcs	arc	NOUN
iajs-686	46	49	:	:	PUNCT
iajs-686	46	50	b2	b2	NOUN
iajs-686	46	51	,	,	PUNCT
iajs-686	46	52	b3	b3	PROPN
iajs-686	46	53	,	,	PUNCT
iajs-686	46	54	b6	b6	NOUN
iajs-686	46	55	are	be	AUX
iajs-686	46	56	projectively	projectively	ADV
iajs-686	46	57	equivalent	equivalent	ADJ
iajs-686	46	58	,	,	PUNCT
iajs-686	46	59	for	for	ADP
iajs-686	46	60	:	:	PUNCT
iajs-686	46	61	t0=0	t0=0	NOUN
iajs-686	46	62	,	,	PUNCT
iajs-686	46	63	t1=0	t1=0	PROPN
iajs-686	46	64	,	,	PUNCT
iajs-686	46	65	t2=4	t2=4	PROPN
iajs-686	46	66	,	,	PUNCT
iajs-686	46	67	t3=5	t3=5	PROPN
iajs-686	46	68	,	,	PUNCT
iajs-686	46	69	t4=4	t4=4	PROPN
iajs-686	46	70	,	,	PUNCT
iajs-686	46	71	t5=2	t5=2	PROPN
iajs-686	46	72	.	.	PUNCT
iajs-686	47	1	thus	thus	ADV
iajs-686	47	2	we	we	PRON
iajs-686	47	3	have	have	VERB
iajs-686	47	4	two	two	NUM
iajs-686	47	5	projectively	projectively	ADV
iajs-686	47	6	distinct	distinct	ADJ
iajs-686	47	7	(	(	PUNCT
iajs-686	47	8	7,5	7,5	NUM
iajs-686	47	9	)	)	PUNCT
iajs-686	47	10	–	–	PUNCT
iajs-686	47	11	arcs	arcs	X
iajs-686	47	12	c	c	X
iajs-686	47	13	=	=	VERB
iajs-686	47	14	b{6}={1,2,3,4,5,6,13	b{6}={1,2,3,4,5,6,13	VERB
iajs-686	47	15	}	}	PUNCT
iajs-686	47	16	,	,	PUNCT
iajs-686	47	17	d	d	PROPN
iajs-686	47	18	=	=	SYM
iajs-686	47	19	b	b	PROPN
iajs-686	47	20			NOUN
iajs-686	47	21	{	{	PUNCT
iajs-686	47	22	7	7	NUM
iajs-686	47	23	}	}	PUNCT
iajs-686	47	24	=	=	NOUN
iajs-686	47	25	{	{	PUNCT
iajs-686	47	26	1,2,3,4,5,7,13	1,2,3,4,5,7,13	NUM
iajs-686	47	27	}	}	PUNCT
iajs-686	47	28	.	.	PUNCT
iajs-686	48	1	we	we	PRON
iajs-686	48	2	try	try	VERB
iajs-686	48	3	to	to	PART
iajs-686	48	4	show	show	VERB
iajs-686	48	5	the	the	DET
iajs-686	48	6	completeness	completeness	NOUN
iajs-686	48	7	of	of	ADP
iajs-686	48	8	these	these	DET
iajs-686	48	9	arcs	arc	NOUN
iajs-686	48	10	.	.	PUNCT
iajs-686	49	1	each	each	PRON
iajs-686	49	2	of	of	ADP
iajs-686	49	3	c	c	PROPN
iajs-686	49	4	and	and	CCONJ
iajs-686	49	5	d	d	PROPN
iajs-686	49	6	is	be	AUX
iajs-686	49	7	not	not	PART
iajs-686	49	8	complete	complete	ADJ
iajs-686	49	9	since	since	SCONJ
iajs-686	49	10	there	there	PRON
iajs-686	49	11	exist	exist	VERB
iajs-686	49	12	some	some	DET
iajs-686	49	13	points	point	NOUN
iajs-686	49	14	of	of	ADP
iajs-686	49	15	index	index	NOUN
iajs-686	49	16	zero	zero	NUM
iajs-686	49	17	.	.	PUNCT
iajs-686	50	1	we	we	PRON
iajs-686	50	2	take	take	VERB
iajs-686	50	3	the	the	DET
iajs-686	50	4	union	union	NOUN
iajs-686	50	5	of	of	ADP
iajs-686	50	6	c	c	PROPN
iajs-686	50	7	and	and	CCONJ
iajs-686	50	8	d.	d.	PROPN
iajs-686	50	9	then	then	ADV
iajs-686	50	10	e	e	X
iajs-686	50	11	=	=	NOUN
iajs-686	50	12	cd={1,2,3,4,5,6,7,13	cd={1,2,3,4,5,6,7,13	X
iajs-686	50	13	}	}	PUNCT
iajs-686	50	14	,	,	PUNCT
iajs-686	50	15	e	e	X
iajs-686	50	16	is	be	AUX
iajs-686	50	17	incomplete	incomplete	ADJ
iajs-686	50	18	(	(	PUNCT
iajs-686	50	19	8,5	8,5	NUM
iajs-686	50	20	)	)	PUNCT
iajs-686	50	21	–	–	PUNCT
iajs-686	50	22	arc	arc	NOUN
iajs-686	50	23	since	since	SCONJ
iajs-686	50	24	there	there	PRON
iajs-686	50	25	exists	exist	VERB
iajs-686	50	26	one	one	NUM
iajs-686	50	27	point	point	NOUN
iajs-686	50	28	of	of	ADP
iajs-686	50	29	index	index	NOUN
iajs-686	50	30	zero	zero	NUM
iajs-686	50	31	for	for	ADP
iajs-686	50	32	e	e	NOUN
iajs-686	50	33	,	,	PUNCT
iajs-686	50	34	which	which	PRON
iajs-686	50	35	is	be	AUX
iajs-686	50	36	the	the	DET
iajs-686	50	37	point	point	NOUN
iajs-686	50	38	(	(	PUNCT
iajs-686	50	39	15	15	NUM
iajs-686	50	40	)	)	PUNCT
iajs-686	50	41	.	.	PUNCT
iajs-686	51	1	we	we	PRON
iajs-686	51	2	add	add	VERB
iajs-686	51	3	the	the	DET
iajs-686	51	4	point	point	NOUN
iajs-686	51	5	(	(	PUNCT
iajs-686	51	6	15	15	NUM
iajs-686	51	7	)	)	PUNCT
iajs-686	51	8	to	to	ADP
iajs-686	51	9	e	e	NOUN
iajs-686	51	10	,	,	PUNCT
iajs-686	51	11	we	we	PRON
iajs-686	51	12	obtain	obtain	VERB
iajs-686	51	13	a	a	DET
iajs-686	51	14	complete	complete	ADJ
iajs-686	51	15	(	(	PUNCT
iajs-686	51	16	9,5	9,5	NUM
iajs-686	51	17	)	)	PUNCT
iajs-686	51	18	–	–	PUNCT
iajs-686	52	1	arc	arc	NOUN
iajs-686	52	2	f	f	X
iajs-686	52	3	,	,	PUNCT
iajs-686	52	4	f	f	X
iajs-686	52	5	=	=	SYM
iajs-686	52	6	e{15}={1,,7,13,15	e{15}={1,,7,13,15	PROPN
iajs-686	52	7	}	}	PUNCT
iajs-686	52	8	.	.	PUNCT
iajs-686	53	1	thus	thus	ADV
iajs-686	53	2	every	every	DET
iajs-686	53	3	point	point	NOUN
iajs-686	53	4	not	not	PART
iajs-686	53	5	in	in	ADP
iajs-686	53	6	f	f	PROPN
iajs-686	53	7	is	be	AUX
iajs-686	53	8	on	on	ADP
iajs-686	53	9	a	a	DET
iajs-686	53	10	(	(	PUNCT
iajs-686	53	11	5	5	NUM
iajs-686	53	12	–	–	PUNCT
iajs-686	53	13	secant	secant	ADJ
iajs-686	53	14	)	)	PUNCT
iajs-686	53	15	and	and	CCONJ
iajs-686	53	16	f	f	PROPN
iajs-686	53	17	intersects	intersect	VERB
iajs-686	53	18	any	any	DET
iajs-686	53	19	plane	plane	NOUN
iajs-686	53	20	in	in	ADP
iajs-686	53	21	at	at	ADP
iajs-686	53	22	most	most	ADV
iajs-686	53	23	5	5	NUM
iajs-686	53	24	points	point	NOUN
iajs-686	53	25	.	.	PUNCT
iajs-686	54	1	1.4	1.4	NUM
iajs-686	54	2	the	the	DET
iajs-686	54	3	construction	construction	NOUN
iajs-686	54	4	of	of	ADP
iajs-686	54	5	complete	complete	ADJ
iajs-686	54	6	(	(	PUNCT
iajs-686	54	7	k,6	k,6	PROPN
iajs-686	54	8	)	)	PUNCT
iajs-686	54	9	–	–	PUNCT
iajs-686	54	10	arcs	arc	NOUN
iajs-686	54	11	in	in	ADP
iajs-686	54	12	pg(3,2	pg(3,2	NOUN
iajs-686	54	13	)	)	PUNCT
iajs-686	54	14	:	:	PUNCT
iajs-686	54	15	the	the	DET
iajs-686	54	16	arc	arc	NOUN
iajs-686	54	17	f={1,,7,13,15	f={1,,7,13,15	AUX
iajs-686	54	18	}	}	PUNCT
iajs-686	54	19	is	be	AUX
iajs-686	54	20	a	a	DET
iajs-686	54	21	complete	complete	ADJ
iajs-686	54	22	(	(	PUNCT
iajs-686	54	23	9,5	9,5	NUM
iajs-686	54	24	)	)	PUNCT
iajs-686	54	25	–	–	PUNCT
iajs-686	54	26	arc	arc	NOUN
iajs-686	54	27	.	.	PUNCT
iajs-686	55	1	the	the	DET
iajs-686	55	2	distinct	distinct	ADJ
iajs-686	55	3	(	(	PUNCT
iajs-686	55	4	k,6	k,6	PROPN
iajs-686	55	5	)	)	PUNCT
iajs-686	55	6	–	–	PUNCT
iajs-686	55	7	arcs	arc	NOUN
iajs-686	55	8	can	can	AUX
iajs-686	55	9	be	be	AUX
iajs-686	55	10	constructed	construct	VERB
iajs-686	55	11	by	by	ADP
iajs-686	55	12	adding	add	VERB
iajs-686	55	13	to	to	ADP
iajs-686	55	14	f	f	PROPN
iajs-686	55	15	in	in	ADP
iajs-686	55	16	each	each	DET
iajs-686	55	17	time	time	NOUN
iajs-686	55	18	one	one	NUM
iajs-686	55	19	of	of	ADP
iajs-686	55	20	the	the	DET
iajs-686	55	21	remaining	remain	VERB
iajs-686	55	22	six	six	NUM
iajs-686	55	23	points	point	NOUN
iajs-686	55	24	,	,	PUNCT
iajs-686	55	25	then	then	ADV
iajs-686	55	26	:	:	PUNCT
iajs-686	55	27	f1	f1	PROPN
iajs-686	55	28	=	=	SYM
iajs-686	55	29	f{8	f{8	PROPN
iajs-686	55	30	}	}	PUNCT
iajs-686	55	31	,	,	PUNCT
iajs-686	55	32	f2	f2	PROPN
iajs-686	55	33	=	=	SYM
iajs-686	55	34	f{9	f{9	NOUN
iajs-686	55	35	}	}	PUNCT
iajs-686	55	36	,	,	PUNCT
iajs-686	55	37	f3	f3	ADJ
iajs-686	55	38	=	=	NOUN
iajs-686	55	39	f{10	f{10	NOUN
iajs-686	55	40	}	}	PUNCT
iajs-686	55	41	,	,	PUNCT
iajs-686	55	42	f4	f4	NOUN
iajs-686	55	43	=	=	NOUN
iajs-686	55	44	f{11	f{11	NOUN
iajs-686	55	45	}	}	PUNCT
iajs-686	55	46	,	,	PUNCT
iajs-686	55	47	f5	f5	NOUN
iajs-686	55	48	=	=	SYM
iajs-686	55	49	f{12	f{12	NOUN
iajs-686	55	50	}	}	PUNCT
iajs-686	55	51	,	,	PUNCT
iajs-686	55	52	f6	f6	PROPN
iajs-686	55	53	=	=	SYM
iajs-686	55	54	f{14	f{14	X
iajs-686	55	55	}	}	PUNCT
iajs-686	55	56	.	.	PUNCT
iajs-686	56	1	by	by	ADP
iajs-686	56	2	the	the	DET
iajs-686	56	3	definition	definition	NOUN
iajs-686	56	4	4	4	NUM
iajs-686	56	5	,	,	PUNCT
iajs-686	56	6	there	there	PRON
iajs-686	56	7	are	be	VERB
iajs-686	56	8	only	only	ADV
iajs-686	56	9	two	two	NUM
iajs-686	56	10	projectively	projectively	ADV
iajs-686	56	11	distinct	distinct	ADJ
iajs-686	56	12	arcs	arc	NOUN
iajs-686	56	13	since	since	SCONJ
iajs-686	56	14	the	the	DET
iajs-686	56	15	arcs	arcs	PROPN
iajs-686	56	16	f1	f1	NOUN
iajs-686	56	17	,	,	PUNCT
iajs-686	56	18	f2	f2	PROPN
iajs-686	56	19	,	,	PUNCT
iajs-686	56	20	f5	f5	PROPN
iajs-686	56	21	,	,	PUNCT
iajs-686	56	22	f6	f6	PROPN
iajs-686	56	23	are	be	AUX
iajs-686	56	24	projectively	projectively	ADV
iajs-686	56	25	equivalent	equivalent	ADJ
iajs-686	56	26	,	,	PUNCT
iajs-686	56	27	for	for	ADP
iajs-686	56	28	t0	t0	NOUN
iajs-686	56	29	=	=	NOUN
iajs-686	56	30	t1	t1	NOUN
iajs-686	56	31	=	=	NOUN
iajs-686	56	32	t2=0	t2=0	PROPN
iajs-686	56	33	,	,	PUNCT
iajs-686	56	34	t3=2	t3=2	PROPN
iajs-686	56	35	,	,	PUNCT
iajs-686	56	36	t4=4	t4=4	PROPN
iajs-686	56	37	,	,	PUNCT
iajs-686	56	38	t5=6	t5=6	NOUN
iajs-686	56	39	,	,	PUNCT
iajs-686	56	40	t6=3	t6=3	PROPN
iajs-686	56	41	and	and	CCONJ
iajs-686	56	42	the	the	DET
iajs-686	56	43	arcs	arc	NOUN
iajs-686	56	44	f3	f3	PROPN
iajs-686	56	45	and	and	CCONJ
iajs-686	56	46	f4	f4	NOUN
iajs-686	56	47	are	be	AUX
iajs-686	56	48	projectively	projectively	ADV
iajs-686	56	49	equivalent	equivalent	ADJ
iajs-686	56	50	,	,	PUNCT
iajs-686	56	51	for	for	ADP
iajs-686	56	52	t0	t0	NOUN
iajs-686	56	53	=	=	NOUN
iajs-686	56	54	t1=	t1=	NOUN
iajs-686	56	55	2	2	NUM
iajs-686	56	56	,	,	PUNCT
iajs-686	56	57	t3=2	t3=2	PROPN
iajs-686	56	58	,	,	PUNCT
iajs-686	56	59	t4=4	t4=4	PROPN
iajs-686	56	60	,	,	PUNCT
iajs-686	56	61	t5=7	t5=7	PROPN
iajs-686	56	62	,	,	PUNCT
iajs-686	56	63	t6=2	t6=2	PROPN
iajs-686	56	64	.	.	PUNCT
iajs-686	57	1	thus	thus	ADV
iajs-686	57	2	we	we	PRON
iajs-686	57	3	have	have	VERB
iajs-686	57	4	two	two	NUM
iajs-686	57	5	projectively	projectively	ADV
iajs-686	57	6	distinct	distinct	ADJ
iajs-686	57	7	(	(	PUNCT
iajs-686	57	8	10,6	10,6	NUM
iajs-686	57	9	)	)	PUNCT
iajs-686	57	10	–	–	PUNCT
iajs-686	57	11	arcs	arcs	X
iajs-686	57	12	g1={1,2,3,4,5,6,7,8,13,15	g1={1,2,3,4,5,6,7,8,13,15	NOUN
iajs-686	57	13	}	}	PUNCT
iajs-686	57	14	,	,	PUNCT
iajs-686	57	15	g2={1,2,3,4,5,6,7,11,13,15	g2={1,2,3,4,5,6,7,11,13,15	PROPN
iajs-686	57	16	}	}	PUNCT
iajs-686	57	17	each	each	PRON
iajs-686	57	18	of	of	ADP
iajs-686	57	19	them	they	PRON
iajs-686	57	20	is	be	AUX
iajs-686	57	21	incomplete	incomplete	ADJ
iajs-686	57	22	since	since	SCONJ
iajs-686	57	23	there	there	PRON
iajs-686	57	24	exist	exist	VERB
iajs-686	57	25	some	some	DET
iajs-686	57	26	points	point	NOUN
iajs-686	57	27	of	of	ADP
iajs-686	57	28	index	index	NOUN
iajs-686	57	29	zero	zero	NUM
iajs-686	57	30	.	.	PUNCT
iajs-686	58	1	we	we	PRON
iajs-686	58	2	take	take	VERB
iajs-686	58	3	the	the	DET
iajs-686	58	4	union	union	NOUN
iajs-686	58	5	of	of	ADP
iajs-686	58	6	g1	g1	PROPN
iajs-686	58	7	and	and	CCONJ
iajs-686	58	8	g2	g2	PROPN
iajs-686	58	9	.	.	PUNCT
iajs-686	59	1	g=	g=	PROPN
iajs-686	59	2	g1g2={1,2,3,4,5,6,7,8,11,13,15	g1g2={1,2,3,4,5,6,7,8,11,13,15	X
iajs-686	59	3	}	}	PUNCT
iajs-686	59	4	.	.	PUNCT
iajs-686	60	1	g	g	NOUN
iajs-686	60	2	is	be	AUX
iajs-686	60	3	incomplete	incomplete	ADJ
iajs-686	60	4	(	(	PUNCT
iajs-686	60	5	11,6	11,6	NUM
iajs-686	60	6	)	)	PUNCT
iajs-686	60	7	–	–	PUNCT
iajs-686	60	8	arc	arc	NOUN
iajs-686	60	9	since	since	SCONJ
iajs-686	60	10	there	there	PRON
iajs-686	60	11	exists	exist	VERB
iajs-686	60	12	one	one	NUM
iajs-686	60	13	point	point	NOUN
iajs-686	60	14	of	of	ADP
iajs-686	60	15	index	index	NOUN
iajs-686	60	16	zero	zero	NUM
iajs-686	60	17	,	,	PUNCT
iajs-686	60	18	which	which	PRON
iajs-686	60	19	is	be	AUX
iajs-686	60	20	the	the	DET
iajs-686	60	21	point	point	NOUN
iajs-686	60	22	(	(	PUNCT
iajs-686	60	23	9	9	NUM
iajs-686	60	24	)	)	PUNCT
iajs-686	60	25	,	,	PUNCT
iajs-686	60	26	then	then	ADV
iajs-686	60	27	h	h	NOUN
iajs-686	60	28	=	=	NOUN
iajs-686	60	29	g{9}={1,	g{9}={1,	NOUN
iajs-686	60	30	…	…	SYM
iajs-686	60	31	,9,11,13,15	,9,11,13,15	PUNCT
iajs-686	60	32	}	}	PUNCT
iajs-686	60	33	.	.	PUNCT
iajs-686	61	1	h	h	PROPN
iajs-686	61	2	is	be	AUX
iajs-686	61	3	a	a	DET
iajs-686	61	4	complete	complete	ADJ
iajs-686	61	5	(	(	PUNCT
iajs-686	61	6	12,6	12,6	NUM
iajs-686	61	7	)	)	PUNCT
iajs-686	61	8	–	–	PUNCT
iajs-686	61	9	arc	arc	NOUN
iajs-686	61	10	,	,	PUNCT
iajs-686	61	11	since	since	SCONJ
iajs-686	61	12	every	every	DET
iajs-686	61	13	point	point	NOUN
iajs-686	61	14	not	not	PART
iajs-686	61	15	in	in	ADP
iajs-686	61	16	h	h	NOUN
iajs-686	61	17	is	be	AUX
iajs-686	61	18	on	on	ADP
iajs-686	61	19	a	a	DET
iajs-686	61	20	6	6	NUM
iajs-686	61	21	–	–	PUNCT
iajs-686	61	22	secant	secant	ADJ
iajs-686	61	23	and	and	CCONJ
iajs-686	61	24	h	h	NOUN
iajs-686	61	25	intersects	intersect	VERB
iajs-686	61	26	any	any	DET
iajs-686	61	27	plane	plane	NOUN
iajs-686	61	28	in	in	ADP
iajs-686	61	29	at	at	ADP
iajs-686	61	30	most	most	ADV
iajs-686	61	31	6	6	NUM
iajs-686	61	32	points	point	NOUN
iajs-686	61	33	.	.	PUNCT
iajs-686	62	1	1.5	1.5	NUM
iajs-686	62	2	the	the	DET
iajs-686	62	3	construction	construction	NOUN
iajs-686	62	4	of	of	ADP
iajs-686	62	5	complete	complete	ADJ
iajs-686	62	6	(	(	PUNCT
iajs-686	62	7	k,7	k,7	NOUN
iajs-686	62	8	)	)	PUNCT
iajs-686	62	9	–	–	PUNCT
iajs-686	62	10	arcs	arc	NOUN
iajs-686	62	11	in	in	ADP
iajs-686	62	12	pg(3,2	pg(3,2	NOUN
iajs-686	62	13	)	)	PUNCT
iajs-686	62	14	:	:	PUNCT
iajs-686	62	15	the	the	DET
iajs-686	62	16	arc	arc	NOUN
iajs-686	62	17	h	h	NOUN
iajs-686	62	18	=	=	PRON
iajs-686	62	19	{	{	PUNCT
iajs-686	62	20	1,,9,11,13,15	1,,9,11,13,15	NUM
iajs-686	62	21	}	}	PUNCT
iajs-686	62	22	is	be	AUX
iajs-686	62	23	a	a	DET
iajs-686	62	24	complete	complete	ADJ
iajs-686	62	25	(	(	PUNCT
iajs-686	62	26	12,6	12,6	NUM
iajs-686	62	27	)	)	PUNCT
iajs-686	62	28	–	–	PUNCT
iajs-686	62	29	arc	arc	NOUN
iajs-686	62	30	.	.	PUNCT
iajs-686	63	1	adding	add	VERB
iajs-686	63	2	all	all	DET
iajs-686	63	3	the	the	DET
iajs-686	63	4	remaining	remain	VERB
iajs-686	63	5	points	point	NOUN
iajs-686	63	6	to	to	ADP
iajs-686	63	7	h	h	NOUN
iajs-686	63	8	,	,	PUNCT
iajs-686	63	9	the	the	DET
iajs-686	63	10	complete	complete	ADJ
iajs-686	63	11	(	(	PUNCT
iajs-686	63	12	15,7	15,7	NUM
iajs-686	63	13	)	)	PUNCT
iajs-686	63	14	–	–	PUNCT
iajs-686	63	15	arc	arc	NOUN
iajs-686	63	16	can	can	AUX
iajs-686	63	17	be	be	AUX
iajs-686	63	18	obtained	obtain	VERB
iajs-686	63	19	which	which	PRON
iajs-686	63	20	is	be	AUX
iajs-686	63	21	the	the	DET
iajs-686	63	22	maximal	maximal	ADJ
iajs-686	63	23	arc	arc	NOUN
iajs-686	63	24	since	since	SCONJ
iajs-686	63	25	it	it	PRON
iajs-686	63	26	contains	contain	VERB
iajs-686	63	27	all	all	DET
iajs-686	63	28	points	point	NOUN
iajs-686	63	29	of	of	ADP
iajs-686	63	30	pg(3,2	pg(3,2	NOUN
iajs-686	63	31	)	)	PUNCT
iajs-686	63	32	,	,	PUNCT
iajs-686	63	33	(	(	PUNCT
iajs-686	63	34	see	see	VERB
iajs-686	63	35	figure	figure	NOUN
iajs-686	63	36	(	(	PUNCT
iajs-686	63	37	1	1	NUM
iajs-686	63	38	)	)	PUNCT
iajs-686	63	39	)	)	PUNCT
iajs-686	63	40	.	.	PUNCT
iajs-686	64	1	2the	2the	NUM
iajs-686	64	2	reverse	reverse	ADJ
iajs-686	64	3	construction	construction	NOUN
iajs-686	64	4	of	of	ADP
iajs-686	64	5	complete	complete	ADJ
iajs-686	64	6	(	(	PUNCT
iajs-686	64	7	k	k	NOUN
iajs-686	64	8	,	,	PUNCT
iajs-686	64	9	n)-arcs	n)-arcs	X
iajs-686	64	10	in	in	ADP
iajs-686	64	11	pg(3,2	pg(3,2	NOUN
iajs-686	64	12	):	):	PUNCT
iajs-686	64	13	complete	complete	ADJ
iajs-686	64	14	(	(	PUNCT
iajs-686	64	15	k	k	NOUN
iajs-686	64	16	,	,	PUNCT
iajs-686	64	17	n	n	CCONJ
iajs-686	64	18	)	)	PUNCT
iajs-686	64	19	–	–	PUNCT
iajs-686	64	20	arcs	arc	NOUN
iajs-686	64	21	in	in	ADP
iajs-686	64	22	pg(3,2	pg(3,2	NOUN
iajs-686	64	23	)	)	PUNCT
iajs-686	64	24	can	can	AUX
iajs-686	64	25	be	be	AUX
iajs-686	64	26	constructed	construct	VERB
iajs-686	64	27	by	by	ADP
iajs-686	64	28	eliminating	eliminate	VERB
iajs-686	64	29	some	some	DET
iajs-686	64	30	points	point	NOUN
iajs-686	64	31	from	from	ADP
iajs-686	64	32	the	the	DET
iajs-686	64	33	complete	complete	ADJ
iajs-686	64	34	arcs	arc	NOUN
iajs-686	64	35	of	of	ADP
iajs-686	64	36	degree	degree	NOUN
iajs-686	64	37	m	m	PROPN
iajs-686	64	38	,	,	PUNCT
iajs-686	64	39	where	where	SCONJ
iajs-686	64	40	m	m	VERB
iajs-686	64	41	=	=	SYM
iajs-686	64	42	n	n	PROPN
iajs-686	64	43	+	+	NUM
iajs-686	64	44	1	1	NUM
iajs-686	64	45	,	,	PUNCT
iajs-686	64	46	3	3	NUM
iajs-686	64	47			NOUN
iajs-686	64	48	n	n	PRON
iajs-686	64	49			NUM
iajs-686	64	50	6	6	NUM
iajs-686	64	51	,	,	PUNCT
iajs-686	64	52	through	through	ADP
iajs-686	64	53	the	the	DET
iajs-686	64	54	following	follow	VERB
iajs-686	64	55	steps	step	NOUN
iajs-686	64	56	:	:	PUNCT
iajs-686	64	57	2.1	2.1	NUM
iajs-686	64	58	the	the	DET
iajs-686	64	59	complete	complete	ADJ
iajs-686	64	60	(	(	PUNCT
iajs-686	64	61	k,7	k,7	NOUN
iajs-686	64	62	)	)	PUNCT
iajs-686	64	63	–	–	PUNCT
iajs-686	64	64	arc	arc	NOUN
iajs-686	64	65	in	in	ADP
iajs-686	64	66	pg(3,2	pg(3,2	NOUN
iajs-686	64	67	)	)	PUNCT
iajs-686	64	68	:	:	PUNCT
iajs-686	64	69	the	the	DET
iajs-686	64	70	projective	projective	ADJ
iajs-686	64	71	space	space	NOUN
iajs-686	64	72	pg	pg	NOUN
iajs-686	64	73	(	(	PUNCT
iajs-686	64	74	3,2	3,2	NUM
iajs-686	64	75	)	)	PUNCT
iajs-686	64	76	contains	contain	VERB
iajs-686	64	77	15	15	NUM
iajs-686	64	78	points	point	NOUN
iajs-686	64	79	and	and	CCONJ
iajs-686	64	80	15	15	NUM
iajs-686	64	81	planes	plane	NOUN
iajs-686	64	82	,	,	PUNCT
iajs-686	64	83	each	each	DET
iajs-686	64	84	plane	plane	NOUN
iajs-686	64	85	contains	contain	VERB
iajs-686	64	86	exactly	exactly	ADV
iajs-686	64	87	7	7	NUM
iajs-686	64	88	points	point	NOUN
iajs-686	64	89	,	,	PUNCT
iajs-686	64	90	then	then	ADV
iajs-686	64	91	the	the	DET
iajs-686	64	92	maximal	maximal	ADJ
iajs-686	64	93	complete	complete	ADJ
iajs-686	64	94	(	(	PUNCT
iajs-686	64	95	k,7	k,7	NOUN
iajs-686	64	96	)	)	PUNCT
iajs-686	64	97	–	–	PUNCT
iajs-686	64	98	arc	arc	NOUN
iajs-686	64	99	a	a	DET
iajs-686	64	100	exists	exist	NOUN
iajs-686	64	101	when	when	SCONJ
iajs-686	64	102	k	k	PROPN
iajs-686	64	103	=	=	SYM
iajs-686	64	104	15	15	NUM
iajs-686	64	105	.	.	PUNCT
iajs-686	65	1	this	this	DET
iajs-686	65	2	arc	arc	NOUN
iajs-686	65	3	contains	contain	VERB
iajs-686	65	4	all	all	DET
iajs-686	65	5	the	the	DET
iajs-686	65	6	points	point	NOUN
iajs-686	65	7	of	of	ADP
iajs-686	65	8	pg(3,2	pg(3,2	NOUN
iajs-686	65	9	)	)	PUNCT
iajs-686	65	10	since	since	SCONJ
iajs-686	65	11	it	it	PRON
iajs-686	65	12	intersects	intersect	VERB
iajs-686	65	13	every	every	DET
iajs-686	65	14	plane	plane	NOUN
iajs-686	65	15	in	in	ADP
iajs-686	65	16	exactly	exactly	ADV
iajs-686	65	17	7	7	NUM
iajs-686	65	18	points	point	NOUN
iajs-686	65	19	and	and	CCONJ
iajs-686	65	20	hence	hence	ADV
iajs-686	65	21	there	there	PRON
iajs-686	65	22	arc	arc	VERB
iajs-686	65	23	no	no	DET
iajs-686	65	24	points	point	NOUN
iajs-686	65	25	of	of	ADP
iajs-686	65	26	index	index	NOUN
iajs-686	65	27	zero	zero	NUM
iajs-686	65	28	for	for	ADP
iajs-686	65	29	a.	a.	NOUN
iajs-686	65	30	so	so	SCONJ
iajs-686	65	31	a	a	PRON
iajs-686	65	32	=	=	X
iajs-686	65	33	{	{	PUNCT
iajs-686	65	34	1	1	NUM
iajs-686	65	35	,	,	PUNCT
iajs-686	65	36			PROPN
iajs-686	65	37	,	,	PUNCT
iajs-686	65	38	15	15	NUM
iajs-686	65	39	}	}	PUNCT
iajs-686	65	40	is	be	AUX
iajs-686	65	41	the	the	DET
iajs-686	65	42	complete	complete	ADJ
iajs-686	65	43	(	(	PUNCT
iajs-686	65	44	15,7	15,7	NUM
iajs-686	65	45	)	)	PUNCT
iajs-686	65	46	–	–	PUNCT
iajs-686	65	47	arc	arc	NOUN
iajs-686	65	48	.	.	PUNCT
iajs-686	66	1	2.2	2.2	NUM
iajs-686	66	2	the	the	DET
iajs-686	66	3	construction	construction	NOUN
iajs-686	66	4	of	of	ADP
iajs-686	66	5	complete	complete	ADJ
iajs-686	66	6	(	(	PUNCT
iajs-686	66	7	k,6	k,6	PROPN
iajs-686	66	8	)	)	PUNCT
iajs-686	66	9	–	–	PUNCT
iajs-686	66	10	arc	arc	NOUN
iajs-686	66	11	in	in	ADP
iajs-686	66	12	pg(3,2	pg(3,2	NOUN
iajs-686	66	13	)	)	PUNCT
iajs-686	66	14	:	:	PUNCT
iajs-686	66	15	a	a	DET
iajs-686	66	16	complete	complete	ADJ
iajs-686	66	17	(	(	PUNCT
iajs-686	66	18	k,6	k,6	NOUN
iajs-686	66	19	)	)	PUNCT
iajs-686	66	20	–	–	PUNCT
iajs-686	66	21	arc	arc	NOUN
iajs-686	66	22	b	b	NOUN
iajs-686	66	23	is	be	AUX
iajs-686	66	24	constructed	construct	VERB
iajs-686	66	25	from	from	ADP
iajs-686	66	26	the	the	DET
iajs-686	66	27	complete	complete	ADJ
iajs-686	66	28	(	(	PUNCT
iajs-686	66	29	15,7	15,7	NUM
iajs-686	66	30	)	)	PUNCT
iajs-686	66	31	–	–	PUNCT
iajs-686	66	32	arc	arc	NOUN
iajs-686	66	33	a	a	PRON
iajs-686	66	34	by	by	ADP
iajs-686	66	35	eliminating	eliminate	VERB
iajs-686	66	36	some	some	DET
iajs-686	66	37	points	point	NOUN
iajs-686	66	38	from	from	ADP
iajs-686	66	39	a	a	DET
iajs-686	66	40	such	such	ADJ
iajs-686	66	41	that	that	PRON
iajs-686	66	42	:	:	PUNCT
iajs-686	67	1	1	1	X
iajs-686	67	2	.	.	X
iajs-686	67	3	b	b	NOUN
iajs-686	67	4	intersects	intersect	VERB
iajs-686	67	5	any	any	DET
iajs-686	67	6	plane	plane	NOUN
iajs-686	67	7	in	in	ADP
iajs-686	67	8	at	at	ADP
iajs-686	67	9	most	most	ADV
iajs-686	67	10	6	6	NUM
iajs-686	67	11	points	point	NOUN
iajs-686	67	12	.	.	PUNCT
iajs-686	68	1	مجلة	مجلة	NOUN
iajs-686	68	2	إبن	إبن	VERB
iajs-686	68	3	الھیثم	الھیثم	NOUN
iajs-686	68	4	للعلوم	للعلوم	NOUN
iajs-686	68	5	الصرفة	الصرفة	NOUN
iajs-686	68	6	و	و	PRON
iajs-686	68	7	التطبیقیة	التطبیقیة	PROPN
iajs-686	68	8	2012	2012	NUM
iajs-686	68	9	السنة	السنة	NOUN
iajs-686	69	1	25	25	NUM
iajs-686	69	2	المجلد	المجلد	NOUN
iajs-686	69	3	1	1	NUM
iajs-686	69	4	العدد	العدد	PROPN
iajs-686	69	5	ibn	ibn	PROPN
iajs-686	69	6	al	al	PROPN
iajs-686	69	7	-	-	PUNCT
iajs-686	69	8	haitham	haitham	PROPN
iajs-686	69	9	journal	journal	PROPN
iajs-686	69	10	for	for	ADP
iajs-686	69	11	pure	pure	ADJ
iajs-686	69	12	and	and	CCONJ
iajs-686	69	13	applied	apply	VERB
iajs-686	69	14	science	science	NOUN
iajs-686	69	15	no	no	NOUN
iajs-686	69	16	.	.	NOUN
iajs-686	69	17	1	1	NUM
iajs-686	69	18	vol	vol	NOUN
iajs-686	69	19	.	.	PUNCT
iajs-686	70	1	25	25	NUM
iajs-686	70	2	year	year	NOUN
iajs-686	70	3	2012	2012	NUM
iajs-686	70	4	2	2	NUM
iajs-686	70	5	.	.	PUNCT
iajs-686	71	1	every	every	DET
iajs-686	71	2	point	point	NOUN
iajs-686	71	3	not	not	PART
iajs-686	71	4	in	in	ADP
iajs-686	71	5	b	b	PROPN
iajs-686	71	6	is	be	AUX
iajs-686	71	7	on	on	ADP
iajs-686	71	8	at	at	ADV
iajs-686	71	9	least	least	ADV
iajs-686	71	10	one	one	NUM
iajs-686	71	11	6	6	NUM
iajs-686	71	12	–	–	PUNCT
iajs-686	71	13	secant	secant	NOUN
iajs-686	71	14	of	of	ADP
iajs-686	71	15	b.	b.	PROPN
iajs-686	71	16	the	the	DET
iajs-686	71	17	points	point	NOUN
iajs-686	71	18	1	1	NUM
iajs-686	71	19	,	,	PUNCT
iajs-686	71	20	2	2	NUM
iajs-686	71	21	,	,	PUNCT
iajs-686	71	22	5	5	NUM
iajs-686	71	23	are	be	AUX
iajs-686	71	24	eliminated	eliminate	VERB
iajs-686	71	25	from	from	ADP
iajs-686	71	26	a	a	PRON
iajs-686	71	27	,	,	PUNCT
iajs-686	71	28	we	we	PRON
iajs-686	71	29	obtain	obtain	VERB
iajs-686	71	30	a	a	DET
iajs-686	71	31	complete	complete	ADJ
iajs-686	71	32	(	(	PUNCT
iajs-686	71	33	12,6	12,6	NUM
iajs-686	71	34	)	)	PUNCT
iajs-686	71	35	–	–	PUNCT
iajs-686	71	36	arc	arc	NOUN
iajs-686	71	37	b	b	NOUN
iajs-686	71	38	,	,	PUNCT
iajs-686	71	39	since	since	SCONJ
iajs-686	71	40	there	there	PRON
iajs-686	71	41	are	be	VERB
iajs-686	71	42	no	no	DET
iajs-686	71	43	points	point	NOUN
iajs-686	71	44	of	of	ADP
iajs-686	71	45	index	index	NOUN
iajs-686	71	46	zero	zero	NUM
iajs-686	71	47	for	for	ADP
iajs-686	71	48	b.	b.	PROPN
iajs-686	71	49	b	b	PROPN
iajs-686	71	50	=	=	PUNCT
iajs-686	71	51	{	{	PUNCT
iajs-686	71	52	3	3	NUM
iajs-686	71	53	,	,	PUNCT
iajs-686	71	54	4	4	NUM
iajs-686	71	55	,	,	PUNCT
iajs-686	71	56	6	6	NUM
iajs-686	71	57	,	,	PUNCT
iajs-686	71	58			PROPN
iajs-686	71	59	,	,	PUNCT
iajs-686	71	60	15	15	NUM
iajs-686	71	61	}	}	PUNCT
iajs-686	71	62	.	.	PUNCT
iajs-686	72	1	2.3	2.3	NUM
iajs-686	72	2	the	the	DET
iajs-686	72	3	construction	construction	NOUN
iajs-686	72	4	of	of	ADP
iajs-686	72	5	complete	complete	ADJ
iajs-686	72	6	(	(	PUNCT
iajs-686	72	7	k,5	k,5	PROPN
iajs-686	72	8	)	)	PUNCT
iajs-686	72	9	–	–	PUNCT
iajs-686	72	10	arc	arc	NOUN
iajs-686	72	11	in	in	ADP
iajs-686	72	12	pg(3,2	pg(3,2	NOUN
iajs-686	72	13	)	)	PUNCT
iajs-686	72	14	:	:	PUNCT
iajs-686	72	15	a	a	DET
iajs-686	72	16	complete	complete	ADJ
iajs-686	72	17	(	(	PUNCT
iajs-686	72	18	k,5	k,5	PROPN
iajs-686	72	19	)	)	PUNCT
iajs-686	72	20	–	–	PUNCT
iajs-686	72	21	arc	arc	NOUN
iajs-686	72	22	in	in	ADP
iajs-686	72	23	pg	pg	PROPN
iajs-686	72	24	(	(	PUNCT
iajs-686	72	25	3,2	3,2	NUM
iajs-686	72	26	)	)	PUNCT
iajs-686	72	27	can	can	AUX
iajs-686	72	28	be	be	AUX
iajs-686	72	29	constructed	construct	VERB
iajs-686	72	30	from	from	ADP
iajs-686	72	31	the	the	DET
iajs-686	72	32	complete	complete	ADJ
iajs-686	72	33	(	(	PUNCT
iajs-686	72	34	12,6	12,6	NUM
iajs-686	72	35	)	)	PUNCT
iajs-686	72	36	–	–	PUNCT
iajs-686	72	37	arc	arc	NOUN
iajs-686	72	38	b	b	NOUN
iajs-686	72	39	by	by	ADP
iajs-686	72	40	eliminating	eliminate	VERB
iajs-686	72	41	some	some	DET
iajs-686	72	42	points	point	NOUN
iajs-686	72	43	from	from	ADP
iajs-686	72	44	b	b	NOUN
iajs-686	72	45	,	,	PUNCT
iajs-686	72	46	which	which	PRON
iajs-686	72	47	are	be	AUX
iajs-686	72	48	:	:	PUNCT
iajs-686	73	1	3,6,9	3,6,9	X
iajs-686	73	2	.	.	PUNCT
iajs-686	74	1	then	then	ADV
iajs-686	74	2	a	a	DET
iajs-686	74	3	complete	complete	ADJ
iajs-686	74	4	(	(	PUNCT
iajs-686	74	5	9,5	9,5	NUM
iajs-686	74	6	)	)	PUNCT
iajs-686	74	7	–	–	PUNCT
iajs-686	74	8	arc	arc	NOUN
iajs-686	74	9	c	c	NOUN
iajs-686	74	10	is	be	AUX
iajs-686	74	11	obtained	obtain	VERB
iajs-686	74	12	,	,	PUNCT
iajs-686	74	13	c	c	X
iajs-686	74	14	=	=	PUNCT
iajs-686	74	15	{	{	PUNCT
iajs-686	74	16	4	4	NUM
iajs-686	74	17	,	,	PUNCT
iajs-686	74	18	7	7	NUM
iajs-686	74	19	,	,	PUNCT
iajs-686	74	20	8	8	NUM
iajs-686	74	21	,	,	PUNCT
iajs-686	74	22	10	10	NUM
iajs-686	74	23	,	,	PUNCT
iajs-686	74	24	11	11	NUM
iajs-686	74	25	,	,	PUNCT
iajs-686	74	26	12	12	NUM
iajs-686	74	27	,	,	PUNCT
iajs-686	74	28	13	13	NUM
iajs-686	74	29	,	,	PUNCT
iajs-686	74	30	14	14	NUM
iajs-686	74	31	,	,	PUNCT
iajs-686	74	32	15	15	NUM
iajs-686	74	33	}	}	PUNCT
iajs-686	74	34	since	since	SCONJ
iajs-686	74	35	each	each	DET
iajs-686	74	36	point	point	NOUN
iajs-686	74	37	not	not	PART
iajs-686	74	38	in	in	ADP
iajs-686	74	39	c	c	PROPN
iajs-686	74	40	is	be	AUX
iajs-686	74	41	on	on	ADP
iajs-686	74	42	at	at	ADV
iajs-686	74	43	least	least	ADV
iajs-686	74	44	one	one	NUM
iajs-686	74	45	5	5	NUM
iajs-686	74	46	–	–	PUNCT
iajs-686	74	47	secant	secant	ADJ
iajs-686	74	48	,	,	PUNCT
iajs-686	74	49	hence	hence	ADV
iajs-686	74	50	there	there	PRON
iajs-686	74	51	are	be	VERB
iajs-686	74	52	no	no	DET
iajs-686	74	53	points	point	NOUN
iajs-686	74	54	of	of	ADP
iajs-686	74	55	index	index	NOUN
iajs-686	74	56	zero	zero	NUM
iajs-686	74	57	for	for	ADP
iajs-686	74	58	c	c	PROPN
iajs-686	74	59	and	and	CCONJ
iajs-686	74	60	c	c	PROPN
iajs-686	74	61	intersects	intersect	VERB
iajs-686	74	62	any	any	DET
iajs-686	74	63	plane	plane	NOUN
iajs-686	74	64	of	of	ADP
iajs-686	74	65	pg(3,2	pg(3,2	NOUN
iajs-686	74	66	)	)	PUNCT
iajs-686	74	67	in	in	ADP
iajs-686	74	68	at	at	ADP
iajs-686	74	69	most	most	ADV
iajs-686	74	70	5	5	NUM
iajs-686	74	71	points	point	NOUN
iajs-686	74	72	.	.	PUNCT
iajs-686	75	1	2.4	2.4	NUM
iajs-686	75	2	the	the	DET
iajs-686	75	3	construction	construction	NOUN
iajs-686	75	4	of	of	ADP
iajs-686	75	5	complete	complete	ADJ
iajs-686	75	6	(	(	PUNCT
iajs-686	75	7	k,4	k,4	NOUN
iajs-686	75	8	)	)	PUNCT
iajs-686	75	9	–	–	PUNCT
iajs-686	75	10	arc	arc	NOUN
iajs-686	75	11	in	in	ADP
iajs-686	75	12	pg(3,2	pg(3,2	NOUN
iajs-686	75	13	)	)	PUNCT
iajs-686	75	14	:	:	PUNCT
iajs-686	75	15	a	a	DET
iajs-686	75	16	complete	complete	ADJ
iajs-686	75	17	(	(	PUNCT
iajs-686	75	18	k,4	k,4	NOUN
iajs-686	75	19	)	)	PUNCT
iajs-686	75	20	–	–	PUNCT
iajs-686	75	21	arc	arc	NOUN
iajs-686	75	22	in	in	ADP
iajs-686	75	23	pg(3,2	pg(3,2	NOUN
iajs-686	75	24	)	)	PUNCT
iajs-686	75	25	can	can	AUX
iajs-686	75	26	be	be	AUX
iajs-686	75	27	constructed	construct	VERB
iajs-686	75	28	from	from	ADP
iajs-686	75	29	the	the	DET
iajs-686	75	30	complete	complete	ADJ
iajs-686	75	31	(	(	PUNCT
iajs-686	75	32	9,5	9,5	NUM
iajs-686	75	33	)	)	PUNCT
iajs-686	75	34	–	–	PUNCT
iajs-686	75	35	arc	arc	NOUN
iajs-686	75	36	c	c	NOUN
iajs-686	75	37	by	by	ADP
iajs-686	75	38	eliminating	eliminate	VERB
iajs-686	75	39	three	three	NUM
iajs-686	75	40	points	point	NOUN
iajs-686	75	41	from	from	ADP
iajs-686	75	42	c	c	PROPN
iajs-686	75	43	,	,	PUNCT
iajs-686	75	44	which	which	PRON
iajs-686	75	45	are	be	AUX
iajs-686	75	46	the	the	DET
iajs-686	75	47	points	point	NOUN
iajs-686	75	48	4	4	NUM
iajs-686	75	49	,	,	PUNCT
iajs-686	75	50	7	7	NUM
iajs-686	75	51	,	,	PUNCT
iajs-686	75	52	10	10	NUM
iajs-686	75	53	,	,	PUNCT
iajs-686	75	54	then	then	ADV
iajs-686	75	55	a	a	DET
iajs-686	75	56	complete	complete	ADJ
iajs-686	75	57	(	(	PUNCT
iajs-686	75	58	6,4	6,4	NUM
iajs-686	75	59	)	)	PUNCT
iajs-686	75	60	–	–	PUNCT
iajs-686	75	61	arc	arc	NOUN
iajs-686	75	62	d	d	NOUN
iajs-686	75	63	is	be	AUX
iajs-686	75	64	obtained	obtain	VERB
iajs-686	75	65	,	,	PUNCT
iajs-686	75	66	d	d	X
iajs-686	75	67	=	=	PUNCT
iajs-686	75	68	{	{	PUNCT
iajs-686	75	69	8	8	NUM
iajs-686	75	70	,	,	PUNCT
iajs-686	75	71	11	11	NUM
iajs-686	75	72	,	,	PUNCT
iajs-686	75	73	12	12	NUM
iajs-686	75	74	,	,	PUNCT
iajs-686	75	75	13	13	NUM
iajs-686	75	76	,	,	PUNCT
iajs-686	75	77	14	14	NUM
iajs-686	75	78	,	,	PUNCT
iajs-686	75	79	15	15	NUM
iajs-686	75	80	}	}	PUNCT
iajs-686	75	81	since	since	SCONJ
iajs-686	75	82	each	each	DET
iajs-686	75	83	point	point	NOUN
iajs-686	75	84	not	not	PART
iajs-686	75	85	in	in	ADP
iajs-686	75	86	d	d	PROPN
iajs-686	75	87	is	be	AUX
iajs-686	75	88	on	on	ADP
iajs-686	75	89	at	at	ADV
iajs-686	75	90	least	least	ADV
iajs-686	75	91	one	one	NUM
iajs-686	75	92	4	4	NUM
iajs-686	75	93	–	–	PUNCT
iajs-686	75	94	secant	secant	NOUN
iajs-686	75	95	of	of	ADP
iajs-686	75	96	d	d	NOUN
iajs-686	75	97	and	and	CCONJ
iajs-686	75	98	hence	hence	ADV
iajs-686	75	99	there	there	PRON
iajs-686	75	100	are	be	VERB
iajs-686	75	101	no	no	DET
iajs-686	75	102	points	point	NOUN
iajs-686	75	103	of	of	ADP
iajs-686	75	104	index	index	NOUN
iajs-686	75	105	zero	zero	NUM
iajs-686	75	106	and	and	CCONJ
iajs-686	75	107	d	d	NOUN
iajs-686	75	108	intersects	intersect	VERB
iajs-686	75	109	each	each	DET
iajs-686	75	110	plane	plane	NOUN
iajs-686	75	111	in	in	ADP
iajs-686	75	112	at	at	ADP
iajs-686	75	113	most	most	ADV
iajs-686	75	114	4	4	NUM
iajs-686	75	115	points	point	NOUN
iajs-686	75	116	.	.	PUNCT
iajs-686	76	1	2.5	2.5	NUM
iajs-686	76	2	the	the	DET
iajs-686	76	3	construction	construction	NOUN
iajs-686	76	4	of	of	ADP
iajs-686	76	5	complete	complete	ADJ
iajs-686	76	6	(	(	PUNCT
iajs-686	76	7	k,3	k,3	PROPN
iajs-686	76	8	)	)	PUNCT
iajs-686	76	9	–	–	PUNCT
iajs-686	76	10	arc	arc	NOUN
iajs-686	76	11	in	in	ADP
iajs-686	76	12	pg(3,2	pg(3,2	NOUN
iajs-686	76	13	)	)	PUNCT
iajs-686	76	14	:	:	PUNCT
iajs-686	76	15	a	a	DET
iajs-686	76	16	complete	complete	ADJ
iajs-686	76	17	(	(	PUNCT
iajs-686	76	18	k,3	k,3	PROPN
iajs-686	76	19	)	)	PUNCT
iajs-686	76	20	–	–	PUNCT
iajs-686	76	21	arc	arc	NOUN
iajs-686	76	22	in	in	ADP
iajs-686	76	23	pg(3,2	pg(3,2	NOUN
iajs-686	76	24	)	)	PUNCT
iajs-686	76	25	can	can	AUX
iajs-686	76	26	be	be	AUX
iajs-686	76	27	constructed	construct	VERB
iajs-686	76	28	from	from	ADP
iajs-686	76	29	the	the	DET
iajs-686	76	30	complete	complete	ADJ
iajs-686	76	31	(	(	PUNCT
iajs-686	76	32	6,4	6,4	NUM
iajs-686	76	33	)	)	PUNCT
iajs-686	76	34	–	–	PUNCT
iajs-686	76	35	arc	arc	NOUN
iajs-686	76	36	d	d	NOUN
iajs-686	76	37	by	by	ADP
iajs-686	76	38	eliminating	eliminate	VERB
iajs-686	76	39	one	one	NUM
iajs-686	76	40	point	point	NOUN
iajs-686	76	41	from	from	ADP
iajs-686	76	42	d	d	PROPN
iajs-686	76	43	,	,	PUNCT
iajs-686	76	44	which	which	PRON
iajs-686	76	45	is	be	AUX
iajs-686	76	46	the	the	DET
iajs-686	76	47	point	point	NOUN
iajs-686	76	48	:	:	PUNCT
iajs-686	77	1	15	15	X
iajs-686	77	2	.	.	PUNCT
iajs-686	78	1	a	a	DET
iajs-686	78	2	complete	complete	ADJ
iajs-686	78	3	(	(	PUNCT
iajs-686	78	4	5,3	5,3	NUM
iajs-686	78	5	)	)	PUNCT
iajs-686	78	6	–	–	PUNCT
iajs-686	78	7	arc	arc	NOUN
iajs-686	78	8	e	e	NOUN
iajs-686	78	9	is	be	AUX
iajs-686	78	10	obtained	obtain	VERB
iajs-686	78	11	,	,	PUNCT
iajs-686	78	12	e	e	X
iajs-686	78	13	=	=	PUNCT
iajs-686	78	14	{	{	PUNCT
iajs-686	78	15	8	8	NUM
iajs-686	78	16	,	,	PUNCT
iajs-686	78	17	11	11	NUM
iajs-686	78	18	,	,	PUNCT
iajs-686	78	19	12	12	NUM
iajs-686	78	20	,	,	PUNCT
iajs-686	78	21	13	13	NUM
iajs-686	78	22	,	,	PUNCT
iajs-686	78	23	14	14	NUM
iajs-686	78	24	}	}	PUNCT
iajs-686	78	25	since	since	SCONJ
iajs-686	78	26	each	each	DET
iajs-686	78	27	point	point	NOUN
iajs-686	78	28	not	not	PART
iajs-686	78	29	in	in	ADP
iajs-686	78	30	e	e	NOUN
iajs-686	78	31	is	be	AUX
iajs-686	78	32	on	on	ADP
iajs-686	78	33	at	at	ADV
iajs-686	78	34	least	least	ADV
iajs-686	78	35	one	one	NUM
iajs-686	78	36	3	3	NUM
iajs-686	78	37	–	–	PUNCT
iajs-686	78	38	secant	secant	ADJ
iajs-686	78	39	,	,	PUNCT
iajs-686	78	40	hence	hence	ADV
iajs-686	78	41	there	there	PRON
iajs-686	78	42	are	be	VERB
iajs-686	78	43	no	no	DET
iajs-686	78	44	points	point	NOUN
iajs-686	78	45	of	of	ADP
iajs-686	78	46	index	index	NOUN
iajs-686	78	47	zero	zero	NUM
iajs-686	78	48	for	for	ADP
iajs-686	78	49	e	e	PROPN
iajs-686	78	50	and	and	CCONJ
iajs-686	78	51	e	e	NOUN
iajs-686	78	52	intersects	intersect	VERB
iajs-686	78	53	each	each	DET
iajs-686	78	54	plane	plane	NOUN
iajs-686	78	55	in	in	ADP
iajs-686	78	56	at	at	ADP
iajs-686	78	57	most	most	ADJ
iajs-686	78	58	3	3	NUM
iajs-686	78	59	points	point	NOUN
iajs-686	78	60	.	.	PUNCT
iajs-686	79	1	see	see	VERB
iajs-686	79	2	figure	figure	NOUN
iajs-686	79	3	(	(	PUNCT
iajs-686	79	4	2	2	NUM
iajs-686	79	5	)	)	PUNCT
iajs-686	79	6	.	.	PUNCT
iajs-686	80	1	3results	3results	NUM
iajs-686	80	2	and	and	CCONJ
iajs-686	80	3	conclusion	conclusion	NOUN
iajs-686	80	4	from	from	ADP
iajs-686	80	5	the	the	DET
iajs-686	80	6	previous	previous	ADJ
iajs-686	80	7	results	result	NOUN
iajs-686	80	8	of	of	ADP
iajs-686	80	9	the	the	DET
iajs-686	80	10	two	two	NUM
iajs-686	80	11	methods	method	NOUN
iajs-686	80	12	,	,	PUNCT
iajs-686	80	13	we	we	PRON
iajs-686	80	14	found	find	VERB
iajs-686	80	15	that	that	SCONJ
iajs-686	80	16	there	there	PRON
iajs-686	80	17	is	be	VERB
iajs-686	80	18	no	no	DET
iajs-686	80	19	differences	difference	NOUN
iajs-686	80	20	between	between	ADP
iajs-686	80	21	them	they	PRON
iajs-686	80	22	,	,	PUNCT
iajs-686	80	23	the	the	DET
iajs-686	80	24	numbers	number	NOUN
iajs-686	80	25	of	of	ADP
iajs-686	80	26	the	the	DET
iajs-686	80	27	points	point	NOUN
iajs-686	80	28	of	of	ADP
iajs-686	80	29	the	the	DET
iajs-686	80	30	complete	complete	ADJ
iajs-686	80	31	(	(	PUNCT
iajs-686	80	32	k	k	NOUN
iajs-686	80	33	,	,	PUNCT
iajs-686	80	34	n	n	CCONJ
iajs-686	80	35	)	)	PUNCT
iajs-686	80	36	–	–	PUNCT
iajs-686	80	37	arcs	arc	NOUN
iajs-686	80	38	in	in	ADP
iajs-686	80	39	the	the	DET
iajs-686	80	40	two	two	NUM
iajs-686	80	41	methods	method	NOUN
iajs-686	80	42	given	give	VERB
iajs-686	80	43	in	in	ADP
iajs-686	80	44	table	table	NOUN
iajs-686	80	45	(	(	PUNCT
iajs-686	80	46	2	2	NUM
iajs-686	80	47	)	)	PUNCT
iajs-686	80	48	.	.	PUNCT
iajs-686	81	1	references	reference	NOUN
iajs-686	81	2	1	1	NUM
iajs-686	81	3	.	.	PUNCT
iajs-686	82	1	al	al	PROPN
iajs-686	82	2	-	-	PUNCT
iajs-686	82	3	mukhtar	mukhtar	PROPN
iajs-686	82	4	,	,	PUNCT
iajs-686	82	5	a.sh	a.sh	PROPN
iajs-686	82	6	.	.	PUNCT
iajs-686	82	7	(	(	PUNCT
iajs-686	82	8	2008	2008	NUM
iajs-686	82	9	)	)	PUNCT
iajs-686	82	10	complete	complete	ADJ
iajs-686	82	11	arcs	arc	NOUN
iajs-686	82	12	and	and	CCONJ
iajs-686	82	13	surfaces	surface	NOUN
iajs-686	82	14	in	in	ADP
iajs-686	82	15	three	three	NUM
iajs-686	82	16	dimensional	dimensional	ADJ
iajs-686	82	17	projective	projective	ADJ
iajs-686	82	18	space	space	NOUN
iajs-686	82	19	over	over	ADP
iajs-686	82	20	galois	galois	PROPN
iajs-686	82	21	field	field	NOUN
iajs-686	82	22	,	,	PUNCT
iajs-686	82	23	ph.d	ph.d	PROPN
iajs-686	82	24	.	.	PUNCT
iajs-686	83	1	thesis	thesis	NOUN
iajs-686	83	2	,	,	PUNCT
iajs-686	83	3	university	university	NOUN
iajs-686	83	4	of	of	ADP
iajs-686	83	5	technology	technology	NOUN
iajs-686	83	6	,	,	PUNCT
iajs-686	83	7	iraq	iraq	PROPN
iajs-686	83	8	.	.	PUNCT
iajs-686	84	1	2	2	X
iajs-686	84	2	.	.	X
iajs-686	84	3	hirschfeld	hirschfeld	PROPN
iajs-686	84	4	,	,	PUNCT
iajs-686	84	5	j.	j.	PROPN
iajs-686	84	6	w.	w.	PROPN
iajs-686	84	7	p.	p.	PROPN
iajs-686	84	8	(	(	PUNCT
iajs-686	84	9	1998	1998	NUM
iajs-686	84	10	)	)	PUNCT
iajs-686	84	11	projective	projective	NOUN
iajs-686	84	12	geometries	geometry	NOUN
iajs-686	84	13	over	over	ADP
iajs-686	84	14	finite	finite	ADJ
iajs-686	84	15	fields	field	NOUN
iajs-686	84	16	,	,	PUNCT
iajs-686	84	17	second	second	ADJ
iajs-686	84	18	edition	edition	NOUN
iajs-686	84	19	,	,	PUNCT
iajs-686	84	20	oxford	oxford	PROPN
iajs-686	84	21	university	university	PROPN
iajs-686	84	22	press	press	NOUN
iajs-686	84	23	.	.	PUNCT
iajs-686	85	1	3	3	X
iajs-686	85	2	.	.	X
iajs-686	85	3	mohammed	mohammed	PROPN
iajs-686	85	4	,	,	PUNCT
iajs-686	85	5	s.	s.	PROPN
iajs-686	85	6	k.	k.	PROPN
iajs-686	85	7	and	and	CCONJ
iajs-686	85	8	al	al	PROPN
iajs-686	85	9	-	-	PUNCT
iajs-686	85	10	mukhtar	mukhtar	PROPN
iajs-686	85	11	,	,	PUNCT
iajs-686	85	12	a.	a.	NOUN
iajs-686	85	13	sh	sh	PROPN
iajs-686	85	14	.	.	PROPN
iajs-686	85	15	(	(	PUNCT
iajs-686	85	16	2009	2009	NUM
iajs-686	85	17	)	)	PUNCT
iajs-686	85	18	engineering	engineering	NOUN
iajs-686	85	19	and	and	CCONJ
iajs-686	85	20	technology	technology	NOUN
iajs-686	85	21	journal	journal	NOUN
iajs-686	85	22	,	,	PUNCT
iajs-686	85	23	on	on	ADP
iajs-686	85	24	projective	projective	ADJ
iajs-686	85	25	3	3	NUM
iajs-686	85	26	-	-	PUNCT
iajs-686	85	27	space	space	NOUN
iajs-686	85	28	,	,	PUNCT
iajs-686	85	29	vol.27(8	vol.27(8	NUM
iajs-686	85	30	):	):	PUNCT
iajs-686	85	31	مجلة	مجلة	PROPN
iajs-686	85	32	إبن	إبن	VERB
iajs-686	85	33	الھیثم	الھیثم	NOUN
iajs-686	85	34	للعلوم	للعلوم	NOUN
iajs-686	85	35	الصرفة	الصرفة	NOUN
iajs-686	85	36	و	و	PRON
iajs-686	85	37	التطبیقیة	التطبیقیة	PROPN
iajs-686	85	38	2012	2012	NUM
iajs-686	85	39	السنة	السنة	NOUN
iajs-686	85	40	25	25	NUM
iajs-686	86	1	المجلد	المجلد	NOUN
iajs-686	87	1	1	1	NUM
iajs-686	88	1	العدد	العدد	PROPN
iajs-686	88	2	ibn	ibn	PROPN
iajs-686	88	3	al	al	PROPN
iajs-686	88	4	-	-	PUNCT
iajs-686	88	5	haitham	haitham	PROPN
iajs-686	88	6	journal	journal	PROPN
iajs-686	88	7	for	for	ADP
iajs-686	88	8	pure	pure	ADJ
iajs-686	88	9	and	and	CCONJ
iajs-686	88	10	applied	apply	VERB
iajs-686	88	11	science	science	NOUN
iajs-686	88	12	no	no	NOUN
iajs-686	88	13	.	.	NOUN
iajs-686	88	14	1	1	NUM
iajs-686	88	15	vol	vol	NOUN
iajs-686	88	16	.	.	PUNCT
iajs-686	89	1	25	25	NUM
iajs-686	89	2	year	year	NOUN
iajs-686	89	3	2012	2012	NUM
iajs-686	89	4	table	table	NOUN
iajs-686	89	5	(	(	PUNCT
iajs-686	89	6	1):the	1):the	DET
iajs-686	89	7	points	point	NOUN
iajs-686	89	8	pi	pi	NOUN
iajs-686	89	9	and	and	CCONJ
iajs-686	89	10	planes	plane	NOUN
iajs-686	89	11	i	i	NOUN
iajs-686	89	12	of	of	ADP
iajs-686	89	13	pg(3,2	pg(3,2	NOUN
iajs-686	89	14	)	)	PUNCT
iajs-686	90	1	i	i	PRON
iajs-686	90	2	pi	pi	VERB
iajs-686	90	3	i	i	PROPN
iajs-686	90	4	1	1	NUM
iajs-686	90	5	(	(	PUNCT
iajs-686	90	6	1,0,0,0	1,0,0,0	NUM
iajs-686	90	7	)	)	SYM
iajs-686	90	8	2	2	NUM
iajs-686	90	9	3	3	NUM
iajs-686	90	10	4	4	NUM
iajs-686	90	11	6	6	NUM
iajs-686	90	12	7	7	NUM
iajs-686	90	13	10	10	NUM
iajs-686	90	14	12	12	NUM
iajs-686	90	15	2	2	NUM
iajs-686	90	16	(	(	PUNCT
iajs-686	90	17	0,1,0,0	0,1,0,0	NOUN
iajs-686	90	18	)	)	PUNCT
iajs-686	90	19	1	1	NUM
iajs-686	90	20	3	3	NUM
iajs-686	90	21	4	4	NUM
iajs-686	90	22	7	7	NUM
iajs-686	90	23	9	9	NUM
iajs-686	90	24	14	14	NUM
iajs-686	90	25	15	15	NUM
iajs-686	90	26	3	3	NUM
iajs-686	90	27	(	(	PUNCT
iajs-686	90	28	0,0,1,0	0,0,1,0	NUM
iajs-686	90	29	)	)	PUNCT
iajs-686	90	30	1	1	NUM
iajs-686	90	31	2	2	NUM
iajs-686	90	32	4	4	NUM
iajs-686	90	33	5	5	NUM
iajs-686	90	34	8	8	NUM
iajs-686	90	35	10	10	NUM
iajs-686	90	36	15	15	NUM
iajs-686	90	37	4	4	NUM
iajs-686	90	38	(	(	PUNCT
iajs-686	90	39	0,0,0,1	0,0,0,1	NOUN
iajs-686	90	40	)	)	PUNCT
iajs-686	90	41	1	1	NUM
iajs-686	90	42	2	2	NUM
iajs-686	90	43	3	3	NUM
iajs-686	90	44	5	5	NUM
iajs-686	90	45	6	6	NUM
iajs-686	90	46	9	9	NUM
iajs-686	90	47	11	11	NUM
iajs-686	90	48	5	5	NUM
iajs-686	90	49	(	(	PUNCT
iajs-686	90	50	1,1,0,0	1,1,0,0	NUM
iajs-686	90	51	)	)	PUNCT
iajs-686	90	52	3	3	NUM
iajs-686	90	53	4	4	NUM
iajs-686	90	54	5	5	NUM
iajs-686	90	55	7	7	NUM
iajs-686	90	56	8	8	NUM
iajs-686	90	57	11	11	NUM
iajs-686	90	58	13	13	NUM
iajs-686	90	59	6	6	NUM
iajs-686	90	60	(	(	PUNCT
iajs-686	90	61	0,1,1,0	0,1,1,0	NUM
iajs-686	90	62	)	)	PUNCT
iajs-686	90	63	1	1	NUM
iajs-686	90	64	4	4	NUM
iajs-686	90	65	6	6	NUM
iajs-686	90	66	11	11	NUM
iajs-686	90	67	12	12	NUM
iajs-686	90	68	13	13	NUM
iajs-686	90	69	15	15	NUM
iajs-686	90	70	7	7	NUM
iajs-686	90	71	(	(	PUNCT
iajs-686	90	72	0,0,1,1	0,0,1,1	NUM
iajs-686	90	73	)	)	PUNCT
iajs-686	90	74	1	1	NUM
iajs-686	90	75	2	2	NUM
iajs-686	90	76	5	5	NUM
iajs-686	90	77	7	7	NUM
iajs-686	90	78	12	12	NUM
iajs-686	90	79	13	13	NUM
iajs-686	90	80	14	14	NUM
iajs-686	90	81	8	8	NUM
iajs-686	90	82	(	(	PUNCT
iajs-686	90	83	1,1,0,1	1,1,0,1	NUM
iajs-686	90	84	)	)	PUNCT
iajs-686	90	85	3	3	NUM
iajs-686	90	86	5	5	NUM
iajs-686	90	87	10	10	NUM
iajs-686	90	88	11	11	NUM
iajs-686	90	89	12	12	NUM
iajs-686	90	90	14	14	NUM
iajs-686	90	91	15	15	NUM
iajs-686	90	92	9	9	NUM
iajs-686	90	93	(	(	PUNCT
iajs-686	90	94	1,0,1,0	1,0,1,0	NUM
iajs-686	90	95	)	)	PUNCT
iajs-686	90	96	2	2	NUM
iajs-686	90	97	4	4	NUM
iajs-686	90	98	9	9	NUM
iajs-686	90	99	10	10	NUM
iajs-686	90	100	11	11	NUM
iajs-686	90	101	13	13	NUM
iajs-686	90	102	14	14	NUM
iajs-686	90	103	10	10	NUM
iajs-686	90	104	(	(	PUNCT
iajs-686	90	105	0,1,0,1	0,1,0,1	NOUN
iajs-686	90	106	)	)	PUNCT
iajs-686	90	107	1	1	NUM
iajs-686	90	108	3	3	NUM
iajs-686	90	109	8	8	NUM
iajs-686	90	110	9	9	NUM
iajs-686	90	111	10	10	NUM
iajs-686	90	112	12	12	NUM
iajs-686	90	113	13	13	NUM
iajs-686	90	114	11	11	NUM
iajs-686	90	115	(	(	PUNCT
iajs-686	90	116	1,1,1,0	1,1,1,0	NUM
iajs-686	90	117	)	)	PUNCT
iajs-686	90	118	4	4	NUM
iajs-686	90	119	5	5	NUM
iajs-686	90	120	6	6	NUM
iajs-686	90	121	8	8	NUM
iajs-686	90	122	9	9	NUM
iajs-686	90	123	12	12	NUM
iajs-686	90	124	14	14	NUM
iajs-686	90	125	12	12	NUM
iajs-686	90	126	(	(	PUNCT
iajs-686	90	127	0,1,1,1	0,1,1,1	NUM
iajs-686	90	128	)	)	PUNCT
iajs-686	90	129	1	1	NUM
iajs-686	90	130	6	6	NUM
iajs-686	90	131	7	7	NUM
iajs-686	90	132	8	8	NUM
iajs-686	90	133	10	10	NUM
iajs-686	90	134	11	11	NUM
iajs-686	90	135	14	14	NUM
iajs-686	90	136	13	13	NUM
iajs-686	90	137	(	(	PUNCT
iajs-686	90	138	1,1,1,1	1,1,1,1	NUM
iajs-686	90	139	)	)	PUNCT
iajs-686	90	140	5	5	NUM
iajs-686	90	141	6	6	NUM
iajs-686	90	142	7	7	NUM
iajs-686	90	143	9	9	NUM
iajs-686	90	144	10	10	NUM
iajs-686	90	145	13	13	NUM
iajs-686	90	146	15	15	NUM
iajs-686	90	147	14	14	NUM
iajs-686	90	148	(	(	PUNCT
iajs-686	90	149	1,0,1,1	1,0,1,1	NUM
iajs-686	90	150	)	)	PUNCT
iajs-686	90	151	2	2	NUM
iajs-686	90	152	7	7	NUM
iajs-686	90	153	8	8	NUM
iajs-686	90	154	9	9	NUM
iajs-686	90	155	11	11	NUM
iajs-686	90	156	12	12	NUM
iajs-686	90	157	15	15	NUM
iajs-686	90	158	15	15	NUM
iajs-686	90	159	(	(	PUNCT
iajs-686	90	160	1,0,0,1	1,0,0,1	NUM
iajs-686	90	161	)	)	SYM
iajs-686	90	162	2	2	NUM
iajs-686	90	163	3	3	NUM
iajs-686	90	164	6	6	NUM
iajs-686	90	165	8	8	NUM
iajs-686	90	166	13	13	NUM
iajs-686	90	167	14	14	NUM
iajs-686	90	168	15	15	NUM
iajs-686	90	169	table	table	NOUN
iajs-686	90	170	(	(	PUNCT
iajs-686	90	171	2):the	2):the	DET
iajs-686	90	172	maximum	maximum	ADJ
iajs-686	90	173	(	(	PUNCT
iajs-686	90	174	k	k	NOUN
iajs-686	90	175	,	,	PUNCT
iajs-686	90	176	n)-arcs	n)-arcs	X
iajs-686	90	177	in	in	ADP
iajs-686	90	178	two	two	NUM
iajs-686	90	179	methods	method	NOUN
iajs-686	90	180	n	n	PRON
iajs-686	90	181	maximum	maximum	NOUN
iajs-686	90	182	(	(	PUNCT
iajs-686	90	183	k	k	NOUN
iajs-686	90	184	,	,	PUNCT
iajs-686	90	185	n	n	CCONJ
iajs-686	90	186	)	)	PUNCT
iajs-686	90	187	–	–	PUNCT
iajs-686	90	188	arcs	arc	NOUN
iajs-686	90	189	in	in	ADP
iajs-686	90	190	the	the	DET
iajs-686	90	191	first	first	ADJ
iajs-686	90	192	method	method	NOUN
iajs-686	90	193	maximum	maximum	ADJ
iajs-686	90	194	(	(	PUNCT
iajs-686	90	195	k	k	NOUN
iajs-686	90	196	,	,	PUNCT
iajs-686	90	197	n	n	CCONJ
iajs-686	90	198	)	)	PUNCT
iajs-686	90	199	–	–	PUNCT
iajs-686	90	200	arcs	arc	NOUN
iajs-686	90	201	in	in	ADP
iajs-686	90	202	the	the	DET
iajs-686	90	203	second	second	ADJ
iajs-686	90	204	method	method	NOUN
iajs-686	90	205	3	3	NUM
iajs-686	90	206	5	5	NUM
iajs-686	90	207	5	5	NUM
iajs-686	90	208	4	4	NUM
iajs-686	90	209	6	6	NUM
iajs-686	90	210	6	6	NUM
iajs-686	90	211	5	5	NUM
iajs-686	90	212	9	9	NUM
iajs-686	90	213	9	9	NUM
iajs-686	90	214	6	6	NUM
iajs-686	90	215	12	12	NUM
iajs-686	90	216	12	12	NUM
iajs-686	90	217	7	7	NUM
iajs-686	90	218	15	15	NUM
iajs-686	90	219	15	15	NUM
iajs-686	90	220	مجلة	مجلة	NOUN
iajs-686	90	221	إبن	إبن	VERB
iajs-686	90	222	الھیثم	الھیثم	NOUN
iajs-686	90	223	للعلوم	للعلوم	NOUN
iajs-686	90	224	الصرفة	الصرفة	NOUN
iajs-686	90	225	و	و	PRON
iajs-686	90	226	التطبیقیة	التطبیقیة	PROPN
iajs-686	90	227	2012	2012	NUM
iajs-686	90	228	السنة	السنة	NOUN
iajs-686	91	1	25	25	NUM
iajs-686	91	2	المجلد	المجلد	NOUN
iajs-686	91	3	1	1	NUM
iajs-686	91	4	العدد	العدد	PROPN
iajs-686	91	5	ibn	ibn	PROPN
iajs-686	91	6	al	al	PROPN
iajs-686	91	7	-	-	PUNCT
iajs-686	91	8	haitham	haitham	PROPN
iajs-686	91	9	journal	journal	PROPN
iajs-686	91	10	for	for	ADP
iajs-686	91	11	pure	pure	ADJ
iajs-686	91	12	and	and	CCONJ
iajs-686	91	13	applied	apply	VERB
iajs-686	91	14	science	science	NOUN
iajs-686	91	15	no	no	NOUN
iajs-686	91	16	.	.	NOUN
iajs-686	91	17	1	1	NUM
iajs-686	91	18	vol	vol	NOUN
iajs-686	91	19	.	.	PUNCT
iajs-686	92	1	25	25	NUM
iajs-686	92	2	year	year	NOUN
iajs-686	92	3	2012	2012	NUM
iajs-686	92	4	fig	fig	NOUN
iajs-686	92	5	.	.	PUNCT
iajs-686	93	1	(	(	PUNCT
iajs-686	93	2	1):all	1):all	NUM
iajs-686	93	3	complete	complete	ADJ
iajs-686	93	4	(	(	PUNCT
iajs-686	93	5	kn	kn	PROPN
iajs-686	93	6	,	,	PUNCT
iajs-686	93	7	n	n	CCONJ
iajs-686	93	8	)	)	PUNCT
iajs-686	93	9	–	–	PUNCT
iajs-686	93	10	arcs	arc	NOUN
iajs-686	93	11	in	in	ADP
iajs-686	93	12	pg(3,2	pg(3,2	NOUN
iajs-686	93	13	)	)	PUNCT
iajs-686	93	14	,	,	PUNCT
iajs-686	93	15	3	3	NUM
iajs-686	93	16	≤	≤	NUM
iajs-686	93	17	n	n	PRON
iajs-686	93	18	≤	≤	NUM
iajs-686	93	19	7	7	NUM
iajs-686	93	20	مجلة	مجلة	NOUN
iajs-686	93	21	إبن	إبن	VERB
iajs-686	93	22	الھیثم	الھیثم	NOUN
iajs-686	93	23	للعلوم	للعلوم	NOUN
iajs-686	93	24	الصرفة	الصرفة	NOUN
iajs-686	93	25	و	و	PRON
iajs-686	93	26	التطبیقیة	التطبیقیة	PROPN
iajs-686	93	27	2012	2012	NUM
iajs-686	93	28	السنة	السنة	NOUN
iajs-686	94	1	25	25	NUM
iajs-686	95	1	المجلد	المجلد	NOUN
iajs-686	95	2	1	1	NUM
iajs-686	95	3	العدد	العدد	PROPN
iajs-686	95	4	ibn	ibn	PROPN
iajs-686	95	5	al	al	PROPN
iajs-686	95	6	-	-	PUNCT
iajs-686	95	7	haitham	haitham	PROPN
iajs-686	95	8	journal	journal	PROPN
iajs-686	95	9	for	for	ADP
iajs-686	95	10	pure	pure	ADJ
iajs-686	95	11	and	and	CCONJ
iajs-686	95	12	applied	apply	VERB
iajs-686	95	13	science	science	NOUN
iajs-686	95	14	no	no	NOUN
iajs-686	95	15	.	.	NOUN
iajs-686	95	16	1	1	NUM
iajs-686	95	17	vol	vol	NOUN
iajs-686	95	18	.	.	PUNCT
iajs-686	96	1	25	25	NUM
iajs-686	96	2	year	year	NOUN
iajs-686	96	3	2012	2012	NUM
iajs-686	96	4	fig	fig	NOUN
iajs-686	96	5	.	.	PUNCT
iajs-686	97	1	(	(	PUNCT
iajs-686	97	2	2):all	2):all	NUM
iajs-686	97	3	complete	complete	ADJ
iajs-686	97	4	(	(	PUNCT
iajs-686	97	5	kn	kn	PROPN
iajs-686	97	6	,	,	PUNCT
iajs-686	97	7	n	n	CCONJ
iajs-686	97	8	)	)	PUNCT
iajs-686	97	9	–	–	PUNCT
iajs-686	97	10	arcs	arc	NOUN
iajs-686	97	11	in	in	ADP
iajs-686	97	12	pg(3,2	pg(3,2	NOUN
iajs-686	97	13	)	)	PUNCT
iajs-686	97	14	,	,	PUNCT
iajs-686	97	15	3	3	NUM
iajs-686	97	16	≤	≤	NUM
iajs-686	97	17	n	n	PRON
iajs-686	97	18	≤	≤	NOUN
iajs-686	97	19	7	7	NUM
iajs-686	97	20	,	,	PUNCT
iajs-686	97	21	by	by	ADP
iajs-686	97	22	reverse	reverse	ADJ
iajs-686	97	23	construction	construction	NOUN
iajs-686	97	24	مجلة	مجلة	NOUN
iajs-686	97	25	إبن	إبن	VERB
iajs-686	97	26	الھیثم	الھیثم	NOUN
iajs-686	97	27	للعلوم	للعلوم	NOUN
iajs-686	97	28	الصرفة	الصرفة	NOUN
iajs-686	97	29	و	و	PRON
iajs-686	97	30	التطبیقیة	التطبیقیة	PROPN
iajs-686	97	31	2012	2012	NUM
iajs-686	97	32	السنة	السنة	NOUN
iajs-686	98	1	25	25	NUM
iajs-686	99	1	المجلد	المجلد	NOUN
iajs-686	99	2	1	1	NUM
iajs-686	99	3	العدد	العدد	PROPN
iajs-686	99	4	ibn	ibn	PROPN
iajs-686	99	5	al	al	PROPN
iajs-686	99	6	-	-	PUNCT
iajs-686	99	7	haitham	haitham	PROPN
iajs-686	99	8	journal	journal	PROPN
iajs-686	99	9	for	for	ADP
iajs-686	99	10	pure	pure	ADJ
iajs-686	99	11	and	and	CCONJ
iajs-686	99	12	applied	apply	VERB
iajs-686	99	13	science	science	NOUN
iajs-686	99	14	no	no	NOUN
iajs-686	99	15	.	.	NOUN
iajs-686	99	16	1	1	NUM
iajs-686	99	17	vol	vol	NOUN
iajs-686	99	18	.	.	PUNCT
iajs-686	100	1	25	25	NUM
iajs-686	100	2	year	year	NOUN
iajs-686	100	3	2012	2012	NUM
iajs-686	100	4	البناء	البناء	NOUN
iajs-686	100	5	والبناء	والبناء	PROPN
iajs-686	100	6	العكسي	العكسي	NOUN
iajs-686	100	7	لألقواس	لألقواس	NOUN
iajs-686	100	8	الكاملة	الكاملة	PROPN
iajs-686	100	9	للفضاء	للفضاء	ADJ
iajs-686	100	10	الثالثي	الثالثي	PROPN
iajs-686	100	11	االسقاطي	االسقاطي	PROPN
iajs-686	100	12	حول	حول	AUX
iajs-686	100	13	حقل	حقل	VERB
iajs-686	100	14	gf(2)كالوا	gf(2)كالوا	PROPN
iajs-686	101	1	آمال	آمال	PROPN
iajs-686	101	2	شهاب	شهاب	PROPN
iajs-686	101	3	المختار	المختار	PROPN
iajs-686	101	4	جامعة	جامعة	PROPN
iajs-686	101	5	بغداد	بغداد	PROPN
iajs-686	101	6	،	،	PROPN
iajs-686	101	7	ابن	ابن	PROPN
iajs-686	101	8	الهیثم	الهیثم	PROPN
iajs-686	101	9	-كلیة	-كلیة	PROPN
iajs-686	101	10	التربیة	التربیة	NOUN
iajs-686	101	11	،	،	NOUN
iajs-686	101	12	قسم	قسم	PROPN
iajs-686	101	13	الریاضیات	الریاضیات	VERB
iajs-686	101	14	2011	2011	NUM
iajs-686	101	15	حزیران	حزیران	PROPN
iajs-686	101	16	16	16	NUM
iajs-686	101	17	:	:	PUNCT
iajs-686	101	18	قبل	قبل	PROPN
iajs-686	101	19	البحث	البحث	NOUN
iajs-686	101	20	في	في	ADP
iajs-686	101	21	2011	2011	NUM
iajs-686	101	22	آیار	آیار	NOUN
iajs-686	101	23	11	11	NUM
iajs-686	101	24	:	:	PUNCT
iajs-686	101	25	استلم	استلم	PROPN
iajs-686	101	26	البحث	البحث	VERB
iajs-686	101	27	في	في	ADP
iajs-686	101	28	الخالصة	الخالصة	PROPN
iajs-686	101	29	،	،	PROPN
iajs-686	101	30	gf(2	gf(2	PROPN
iajs-686	101	31	)	)	PUNCT
iajs-686	101	32	الهدف	الهدف	ADP
iajs-686	101	33	االساسي	االساسي	X
iajs-686	101	34	من	من	PRON
iajs-686	101	35	هذا	هذا	NOUN
iajs-686	101	36	البحث	البحث	PROPN
iajs-686	101	37	هو	هو	PROPN
iajs-686	101	38	ایجاد	ایجاد	PROPN
iajs-686	101	39	االقواس	االقواس	VERB
iajs-686	101	40	الكاملة	الكاملة	PROPN
iajs-686	101	41	في	في	SCONJ
iajs-686	101	42	الفضاء	الفضاء	PROPN
iajs-686	101	43	الثالثي	الثالثي	PROPN
iajs-686	101	44	االسقاطي	االسقاطي	PROPN
iajs-686	101	45	حول	حول	AUX
iajs-686	101	46	حقل	حقل	VERB
iajs-686	101	47	كالوا	كالوا	PROPN
iajs-686	101	48	.	.	PUNCT
iajs-686	102	1	،	،	PROPN
iajs-686	102	2	بطریقتین	بطریقتین	PROPN
iajs-686	102	3	ومن	ومن	PROPN
iajs-686	102	4	ثم	ثم	ADP
iajs-686	102	5	نقارن	نقارن	PROPN
iajs-686	102	6	بین	بین	PROPN
iajs-686	102	7	الطریقتینpg(3.2)والذي	الطریقتینpg(3.2)والذي	PROPN
iajs-686	102	8	یرمز	یرمز	PROPN
iajs-686	102	9	له	له	ADP