id	sid	tid	token	lemma	pos
iajs-198	1	1	163	163	NUM
iajs-198	1	2	|	|	NOUN
iajs-198	1	3	mathematics	mathematic	NOUN
iajs-198	1	4	2015	2015	NUM
iajs-198	1	5	)	)	PUNCT
iajs-198	1	6	عام	عام	ADP
iajs-198	1	7	1العدد	1العدد	NUM
iajs-198	1	8	(	(	PUNCT
iajs-198	1	9	28مجلة	28مجلة	X
iajs-198	1	10	إبن	إبن	VERB
iajs-198	1	11	الھيثم	الھيثم	NOUN
iajs-198	1	12	للعلوم	للعلوم	NOUN
iajs-198	1	13	الصرفة	الصرفة	NOUN
iajs-198	2	1	و	و	PRON
iajs-198	2	2	التطبيقية	التطبيقية	ADV
iajs-198	2	3	المجلد	المجلد	VERB
iajs-198	2	4	ibn	ibn	PROPN
iajs-198	2	5	al	al	PROPN
iajs-198	2	6	-	-	PUNCT
iajs-198	2	7	haitham	haitham	PROPN
iajs-198	2	8	j.	j.	PROPN
iajs-198	2	9	for	for	ADP
iajs-198	2	10	pure	pure	PROPN
iajs-198	2	11	&	&	CCONJ
iajs-198	2	12	appl	appl	PROPN
iajs-198	2	13	.	.	PUNCT
iajs-198	3	1	sci	sci	PROPN
iajs-198	3	2	.	.	PUNCT
iajs-198	3	3	vol	vol	NOUN
iajs-198	3	4	.	.	PROPN
iajs-198	4	1	28	28	NUM
iajs-198	4	2	(	(	PUNCT
iajs-198	4	3	1	1	NUM
iajs-198	4	4	)	)	PUNCT
iajs-198	4	5	2015	2015	NUM
iajs-198	4	6	the	the	DET
iajs-198	4	7	construction	construction	NOUN
iajs-198	4	8	of	of	ADP
iajs-198	4	9	minimal	minimal	ADJ
iajs-198	4	10	(	(	PUNCT
iajs-198	4	11	b	b	NOUN
iajs-198	4	12	,	,	PUNCT
iajs-198	4	13	t)-blocking	t)-blocke	VERB
iajs-198	4	14	sets	set	VERB
iajs-198	4	15	containing	contain	VERB
iajs-198	4	16	conics	conic	NOUN
iajs-198	4	17	in	in	ADP
iajs-198	4	18	pg(2,5	pg(2,5	NOUN
iajs-198	4	19	)	)	PUNCT
iajs-198	4	20	with	with	ADP
iajs-198	4	21	the	the	DET
iajs-198	4	22	complete	complete	ADJ
iajs-198	4	23	arcs	arc	NOUN
iajs-198	4	24	and	and	CCONJ
iajs-198	4	25	projective	projective	ADJ
iajs-198	4	26	codes	code	NOUN
iajs-198	4	27	related	relate	VERB
iajs-198	4	28	with	with	ADP
iajs-198	4	29	them	they	PRON
iajs-198	4	30	amal	amal	PROPN
iajs-198	4	31	shihab	shihab	PROPN
iajs-198	4	32	al	al	PROPN
iajs-198	4	33	-	-	PUNCT
iajs-198	4	34	mukhtar	mukhtar	PROPN
iajs-198	4	35	hani	hani	PROPN
iajs-198	4	36	sabbar	sabbar	PROPN
iajs-198	4	37	thumai	thumai	PROPN
iajs-198	4	38	dept	dept	PROPN
iajs-198	4	39	.	.	PROPN
iajs-198	5	1	of	of	ADP
iajs-198	5	2	mathematics	mathematics	PROPN
iajs-198	5	3	,	,	PUNCT
iajs-198	5	4	college	college	NOUN
iajs-198	5	5	of	of	ADP
iajs-198	5	6	education	education	NOUN
iajs-198	5	7	for	for	ADP
iajs-198	5	8	pure	pure	ADJ
iajs-198	5	9	science	science	PROPN
iajs-198	5	10	university	university	PROPN
iajs-198	5	11	of	of	ADP
iajs-198	5	12	baghdad	baghdad	PROPN
iajs-198	5	13	received	receive	VERB
iajs-198	5	14	in	in	ADP
iajs-198	5	15	:	:	PUNCT
iajs-198	5	16	28	28	NUM
iajs-198	5	17	september	september	PROPN
iajs-198	5	18	2014	2014	NUM
iajs-198	5	19	,	,	PUNCT
iajs-198	5	20	accepted	accept	VERB
iajs-198	5	21	in	in	ADP
iajs-198	5	22	:	:	PUNCT
iajs-198	6	1	21	21	NUM
iajs-198	6	2	december	december	PROPN
iajs-198	6	3	2014	2014	NUM
iajs-198	6	4	abstract	abstract	ADV
iajs-198	6	5	a	a	DET
iajs-198	6	6	(	(	PUNCT
iajs-198	6	7	b	b	NOUN
iajs-198	6	8	,	,	PUNCT
iajs-198	6	9	t)-blocking	t)-blocke	VERB
iajs-198	6	10	set	set	VERB
iajs-198	6	11	b	b	NOUN
iajs-198	6	12	in	in	ADP
iajs-198	6	13	pg(2,q	pg(2,q	NOUN
iajs-198	6	14	)	)	PUNCT
iajs-198	6	15	is	be	AUX
iajs-198	6	16	set	set	VERB
iajs-198	6	17	of	of	ADP
iajs-198	6	18	b	b	NOUN
iajs-198	6	19	points	point	NOUN
iajs-198	6	20	such	such	ADJ
iajs-198	6	21	that	that	SCONJ
iajs-198	6	22	every	every	DET
iajs-198	6	23	line	line	NOUN
iajs-198	6	24	of	of	ADP
iajs-198	6	25	pg(2,q	pg(2,q	NOUN
iajs-198	6	26	)	)	PUNCT
iajs-198	6	27	intersects	intersect	NOUN
iajs-198	6	28	b	b	NOUN
iajs-198	6	29	in	in	ADP
iajs-198	6	30	at	at	ADV
iajs-198	6	31	least	least	ADJ
iajs-198	6	32	t	t	NOUN
iajs-198	6	33	points	point	NOUN
iajs-198	6	34	and	and	CCONJ
iajs-198	6	35	there	there	PRON
iajs-198	6	36	is	be	VERB
iajs-198	6	37	a	a	DET
iajs-198	6	38	line	line	NOUN
iajs-198	6	39	intersecting	intersect	VERB
iajs-198	6	40	b	b	NOUN
iajs-198	6	41	in	in	ADP
iajs-198	6	42	exactly	exactly	ADV
iajs-198	6	43	t	t	NOUN
iajs-198	6	44	points	point	NOUN
iajs-198	6	45	.	.	PUNCT
iajs-198	7	1	in	in	ADP
iajs-198	7	2	this	this	DET
iajs-198	7	3	paper	paper	NOUN
iajs-198	7	4	we	we	PRON
iajs-198	7	5	construct	construct	VERB
iajs-198	7	6	a	a	DET
iajs-198	7	7	minimal	minimal	ADJ
iajs-198	7	8	(	(	PUNCT
iajs-198	7	9	b	b	NOUN
iajs-198	7	10	,	,	PUNCT
iajs-198	7	11	t)-blocking	t)-blocking	NOUN
iajs-198	7	12	sets	set	NOUN
iajs-198	7	13	,	,	PUNCT
iajs-198	7	14	t	t	NOUN
iajs-198	7	15	=	=	SYM
iajs-198	7	16	1,2,3,4,5	1,2,3,4,5	NUM
iajs-198	7	17	in	in	ADP
iajs-198	7	18	pg(2,5	pg(2,5	NOUN
iajs-198	7	19	)	)	PUNCT
iajs-198	7	20	by	by	ADP
iajs-198	7	21	using	use	VERB
iajs-198	7	22	conics	conic	NOUN
iajs-198	7	23	to	to	PART
iajs-198	7	24	obtain	obtain	VERB
iajs-198	7	25	complete	complete	ADJ
iajs-198	7	26	arcs	arc	NOUN
iajs-198	7	27	and	and	CCONJ
iajs-198	7	28	projective	projective	ADJ
iajs-198	7	29	codes	code	NOUN
iajs-198	7	30	related	relate	VERB
iajs-198	7	31	with	with	ADP
iajs-198	7	32	them	they	PRON
iajs-198	7	33	.	.	PUNCT
iajs-198	8	1	keywords	keyword	NOUN
iajs-198	8	2	:	:	PUNCT
iajs-198	8	3	blocking	block	VERB
iajs-198	8	4	set	set	NOUN
iajs-198	8	5	,	,	PUNCT
iajs-198	8	6	complete	complete	ADJ
iajs-198	8	7	arc	arc	NOUN
iajs-198	8	8	,	,	PUNCT
iajs-198	8	9	projective	projective	PROPN
iajs-198	8	10	code	code	PROPN
iajs-198	8	11	.	.	PUNCT
iajs-198	9	1	164	164	NUM
iajs-198	9	2	|	|	NOUN
iajs-198	9	3	mathematics	mathematic	NOUN
iajs-198	9	4	2015	2015	NUM
iajs-198	9	5	)	)	PUNCT
iajs-198	9	6	عام	عام	ADP
iajs-198	9	7	1العدد	1العدد	NUM
iajs-198	9	8	(	(	PUNCT
iajs-198	9	9	28مجلة	28مجلة	X
iajs-198	9	10	إبن	إبن	VERB
iajs-198	9	11	الھيثم	الھيثم	NOUN
iajs-198	9	12	للعلوم	للعلوم	NOUN
iajs-198	9	13	الصرفة	الصرفة	NOUN
iajs-198	10	1	و	و	PRON
iajs-198	10	2	التطبيقية	التطبيقية	ADV
iajs-198	10	3	المجلد	المجلد	VERB
iajs-198	10	4	ibn	ibn	PROPN
iajs-198	10	5	al	al	PROPN
iajs-198	10	6	-	-	PUNCT
iajs-198	10	7	haitham	haitham	PROPN
iajs-198	10	8	j.	j.	PROPN
iajs-198	10	9	for	for	ADP
iajs-198	10	10	pure	pure	PROPN
iajs-198	10	11	&	&	CCONJ
iajs-198	10	12	appl	appl	PROPN
iajs-198	10	13	.	.	PUNCT
iajs-198	11	1	sci	sci	PROPN
iajs-198	11	2	.	.	PUNCT
iajs-198	11	3	vol	vol	NOUN
iajs-198	11	4	.	.	PROPN
iajs-198	12	1	28	28	NUM
iajs-198	12	2	(	(	PUNCT
iajs-198	12	3	1	1	NUM
iajs-198	12	4	)	)	PUNCT
iajs-198	12	5	2015	2015	NUM
iajs-198	12	6	1introduction	1introduction	NUM
iajs-198	12	7	let	let	VERB
iajs-198	12	8	gf(q	gf(q	NOUN
iajs-198	12	9	)	)	PUNCT
iajs-198	12	10	denotes	denote	VERB
iajs-198	12	11	the	the	DET
iajs-198	12	12	galois	galois	PROPN
iajs-198	12	13	field	field	NOUN
iajs-198	12	14	of	of	ADP
iajs-198	12	15	q	q	NOUN
iajs-198	12	16	elements	element	NOUN
iajs-198	12	17	and	and	CCONJ
iajs-198	12	18	v(3,q	v(3,q	NOUN
iajs-198	12	19	)	)	PUNCT
iajs-198	12	20	be	be	VERB
iajs-198	12	21	the	the	DET
iajs-198	12	22	vector	vector	NOUN
iajs-198	12	23	space	space	NOUN
iajs-198	12	24	of	of	ADP
iajs-198	12	25	row	row	NOUN
iajs-198	12	26	vectors	vector	NOUN
iajs-198	12	27	of	of	ADP
iajs-198	12	28	length	length	NOUN
iajs-198	12	29	three	three	NUM
iajs-198	12	30	with	with	ADP
iajs-198	12	31	entries	entry	NOUN
iajs-198	12	32	in	in	ADP
iajs-198	12	33	gf(q	gf(q	NOUN
iajs-198	12	34	)	)	PUNCT
iajs-198	12	35	.	.	PUNCT
iajs-198	13	1	let	let	AUX
iajs-198	13	2	pg(2,q	pg(2,q	NOUN
iajs-198	13	3	)	)	PUNCT
iajs-198	13	4	be	be	AUX
iajs-198	13	5	the	the	DET
iajs-198	13	6	corresponding	corresponding	ADJ
iajs-198	13	7	projective	projective	ADJ
iajs-198	13	8	plane	plane	NOUN
iajs-198	13	9	.	.	PUNCT
iajs-198	14	1	the	the	DET
iajs-198	14	2	points	point	NOUN
iajs-198	14	3	of	of	ADP
iajs-198	14	4	pg(2,q	pg(2,q	NOUN
iajs-198	14	5	)	)	PUNCT
iajs-198	14	6	are	be	AUX
iajs-198	14	7	the	the	DET
iajs-198	14	8	non	non	ADJ
iajs-198	14	9	zero	zero	NUM
iajs-198	14	10	vectors	vector	NOUN
iajs-198	14	11	of	of	ADP
iajs-198	14	12	v(3,q	v(3,q	NOUN
iajs-198	14	13	)	)	PUNCT
iajs-198	14	14	with	with	ADP
iajs-198	14	15	the	the	DET
iajs-198	14	16	rule	rule	NOUN
iajs-198	14	17	that	that	SCONJ
iajs-198	14	18	x	x	PRON
iajs-198	14	19	=	=	SYM
iajs-198	14	20	(	(	PUNCT
iajs-198	14	21	x1,x2,x3	x1,x2,x3	PROPN
iajs-198	14	22	)	)	PUNCT
iajs-198	14	23	and	and	CCONJ
iajs-198	14	24	y	y	PROPN
iajs-198	14	25	=	=	PROPN
iajs-198	14	26	(	(	PUNCT
iajs-198	14	27	x1,x2,x3	x1,x2,x3	ADJ
iajs-198	14	28	)	)	PUNCT
iajs-198	14	29	represent	represent	VERB
iajs-198	14	30	the	the	DET
iajs-198	14	31	same	same	ADJ
iajs-198	14	32	point	point	NOUN
iajs-198	14	33	,	,	PUNCT
iajs-198	14	34	where	where	SCONJ
iajs-198	14	35			ADJ
iajs-198	14	36			NOUN
iajs-198	14	37	gf(q)\{0	gf(q)\{0	PROPN
iajs-198	14	38	}	}	PUNCT
iajs-198	14	39	.	.	PUNCT
iajs-198	15	1	the	the	DET
iajs-198	15	2	number	number	NOUN
iajs-198	15	3	of	of	ADP
iajs-198	15	4	points	point	NOUN
iajs-198	15	5	of	of	ADP
iajs-198	15	6	pg(2,q	pg(2,q	NOUN
iajs-198	15	7	)	)	PUNCT
iajs-198	15	8	is	be	AUX
iajs-198	15	9	q2	q2	NOUN
iajs-198	16	1	+	+	NOUN
iajs-198	16	2	q	q	NOUN
iajs-198	16	3	+	+	NUM
iajs-198	16	4	1	1	X
iajs-198	16	5	.	.	X
iajs-198	17	1	if	if	SCONJ
iajs-198	17	2	the	the	DET
iajs-198	17	3	point	point	NOUN
iajs-198	17	4	p(x	p(x	PROPN
iajs-198	17	5	)	)	PUNCT
iajs-198	17	6	is	be	AUX
iajs-198	17	7	the	the	DET
iajs-198	17	8	equivalence	equivalence	NOUN
iajs-198	17	9	class	class	NOUN
iajs-198	17	10	of	of	ADP
iajs-198	17	11	the	the	DET
iajs-198	17	12	vector	vector	NOUN
iajs-198	17	13	x	x	NOUN
iajs-198	17	14	,	,	PUNCT
iajs-198	17	15	then	then	ADV
iajs-198	17	16	we	we	PRON
iajs-198	17	17	will	will	AUX
iajs-198	17	18	say	say	VERB
iajs-198	17	19	that	that	SCONJ
iajs-198	17	20	x	x	PRON
iajs-198	17	21	is	be	AUX
iajs-198	17	22	a	a	DET
iajs-198	17	23	vector	vector	NOUN
iajs-198	17	24	representing	represent	VERB
iajs-198	17	25	p(x	p(x	NOUN
iajs-198	17	26	)	)	PUNCT
iajs-198	17	27	.	.	PUNCT
iajs-198	18	1	a	a	DET
iajs-198	18	2	subspace	subspace	NOUN
iajs-198	18	3	of	of	ADP
iajs-198	18	4	dimension	dimension	NOUN
iajs-198	18	5	one	one	NUM
iajs-198	18	6	is	be	AUX
iajs-198	18	7	a	a	DET
iajs-198	18	8	set	set	NOUN
iajs-198	18	9	of	of	ADP
iajs-198	18	10	points	point	NOUN
iajs-198	18	11	all	all	PRON
iajs-198	18	12	of	of	ADP
iajs-198	18	13	whose	whose	DET
iajs-198	18	14	representing	represent	VERB
iajs-198	18	15	vectors	vector	NOUN
iajs-198	18	16	form	form	VERB
iajs-198	18	17	a	a	DET
iajs-198	18	18	subspace	subspace	NOUN
iajs-198	18	19	of	of	ADP
iajs-198	18	20	dimension	dimension	NOUN
iajs-198	18	21	two	two	NUM
iajs-198	18	22	of	of	ADP
iajs-198	18	23	v(3,q	v(3,q	NOUN
iajs-198	18	24	)	)	PUNCT
iajs-198	18	25	,	,	PUNCT
iajs-198	18	26	such	such	ADJ
iajs-198	18	27	subspaces	subspace	NOUN
iajs-198	18	28	are	be	AUX
iajs-198	18	29	called	call	VERB
iajs-198	18	30	lines	line	NOUN
iajs-198	18	31	.	.	PUNCT
iajs-198	19	1	the	the	DET
iajs-198	19	2	number	number	NOUN
iajs-198	19	3	of	of	ADP
iajs-198	19	4	lines	line	NOUN
iajs-198	19	5	in	in	ADP
iajs-198	19	6	pg(3,q	pg(3,q	NOUN
iajs-198	19	7	)	)	PUNCT
iajs-198	19	8	is	be	AUX
iajs-198	19	9	q2	q2	NOUN
iajs-198	19	10	+	+	CCONJ
iajs-198	19	11	q	q	PUNCT
iajs-198	20	1	+	+	NUM
iajs-198	20	2	1	1	X
iajs-198	20	3	.	.	X
iajs-198	20	4	there	there	PRON
iajs-198	20	5	are	be	VERB
iajs-198	20	6	q	q	ADJ
iajs-198	21	1	+	+	NUM
iajs-198	21	2	1	1	NUM
iajs-198	21	3	points	point	NOUN
iajs-198	21	4	on	on	ADP
iajs-198	21	5	every	every	DET
iajs-198	21	6	line	line	NOUN
iajs-198	21	7	and	and	CCONJ
iajs-198	21	8	q	q	NOUN
iajs-198	22	1	+	+	CCONJ
iajs-198	22	2	1	1	NUM
iajs-198	22	3	lines	line	NOUN
iajs-198	22	4	through	through	ADP
iajs-198	22	5	every	every	DET
iajs-198	22	6	point	point	NOUN
iajs-198	22	7	.	.	PUNCT
iajs-198	23	1	the	the	DET
iajs-198	23	2	point	point	NOUN
iajs-198	23	3	x(x1,x2,x3	x(x1,x2,x3	PROPN
iajs-198	23	4	)	)	PUNCT
iajs-198	23	5	is	be	AUX
iajs-198	23	6	on	on	ADP
iajs-198	23	7	the	the	DET
iajs-198	23	8	line	line	NOUN
iajs-198	23	9	y[y1,y2,y3	y[y1,y2,y3	NOUN
iajs-198	23	10	]	]	PUNCT
iajs-198	24	1	if	if	SCONJ
iajs-198	24	2	and	and	CCONJ
iajs-198	24	3	only	only	ADV
iajs-198	24	4	if	if	SCONJ
iajs-198	24	5	x1y1	x1y1	PROPN
iajs-198	24	6	+	+	CCONJ
iajs-198	24	7	x2y2	x2y2	X
iajs-198	25	1	+	+	CCONJ
iajs-198	25	2	x3y3	x3y3	SYM
iajs-198	25	3	=	=	SYM
iajs-198	25	4	0	0	PROPN
iajs-198	25	5	.	.	PUNCT
iajs-198	26	1	definition	definition	NOUN
iajs-198	26	2	(	(	PUNCT
iajs-198	26	3	1.1	1.1	NUM
iajs-198	26	4	):	):	PUNCT
iajs-198	26	5	[	[	X
iajs-198	26	6	1	1	X
iajs-198	26	7	]	]	X
iajs-198	26	8	a	a	DET
iajs-198	26	9	(	(	PUNCT
iajs-198	26	10	k	k	NOUN
iajs-198	26	11	,	,	PUNCT
iajs-198	26	12	n)–arc	n)–arc	PROPN
iajs-198	26	13	is	be	AUX
iajs-198	26	14	a	a	DET
iajs-198	26	15	set	set	NOUN
iajs-198	26	16	of	of	ADP
iajs-198	26	17	k	k	PROPN
iajs-198	26	18	points	point	NOUN
iajs-198	26	19	of	of	ADP
iajs-198	26	20	a	a	DET
iajs-198	26	21	projective	projective	ADJ
iajs-198	26	22	plane	plane	NOUN
iajs-198	26	23	such	such	ADJ
iajs-198	26	24	that	that	SCONJ
iajs-198	26	25	some	some	PRON
iajs-198	26	26	n	n	NOUN
iajs-198	27	1	but	but	CCONJ
iajs-198	27	2	no	no	PRON
iajs-198	27	3	n	n	NOUN
iajs-198	27	4	+	+	ADP
iajs-198	27	5	1	1	NUM
iajs-198	27	6	of	of	ADP
iajs-198	27	7	them	they	PRON
iajs-198	27	8	are	be	AUX
iajs-198	27	9	collinear	collinear	ADJ
iajs-198	27	10	,	,	PUNCT
iajs-198	27	11	n	n	X
iajs-198	27	12			NUM
iajs-198	27	13	2	2	NUM
iajs-198	27	14	.	.	PUNCT
iajs-198	28	1	definition	definition	NOUN
iajs-198	28	2	(	(	PUNCT
iajs-198	28	3	1.2	1.2	NUM
iajs-198	28	4	):	):	PUNCT
iajs-198	28	5	[	[	X
iajs-198	28	6	2	2	X
iajs-198	28	7	]	]	X
iajs-198	28	8	a	a	DET
iajs-198	28	9	(	(	PUNCT
iajs-198	28	10	k	k	NOUN
iajs-198	28	11	,	,	PUNCT
iajs-198	28	12	n)–arc	n)–arc	PROPN
iajs-198	28	13	is	be	AUX
iajs-198	28	14	complete	complete	ADJ
iajs-198	28	15	if	if	SCONJ
iajs-198	28	16	it	it	PRON
iajs-198	28	17	is	be	AUX
iajs-198	28	18	not	not	PART
iajs-198	28	19	contained	contain	VERB
iajs-198	28	20	in	in	ADP
iajs-198	28	21	a	a	DET
iajs-198	28	22	(	(	PUNCT
iajs-198	28	23	k	k	X
iajs-198	28	24	+	+	NOUN
iajs-198	28	25	1,n)-arc	1,n)-arc	NUM
iajs-198	28	26	.	.	PUNCT
iajs-198	29	1	definition	definition	NOUN
iajs-198	29	2	(	(	PUNCT
iajs-198	29	3	1.3	1.3	NUM
iajs-198	29	4	):	):	PUNCT
iajs-198	29	5	[	[	X
iajs-198	29	6	2	2	X
iajs-198	29	7	]	]	PUNCT
iajs-198	29	8	a	a	DET
iajs-198	29	9	line	line	NOUN
iajs-198	29	10	l	l	NOUN
iajs-198	29	11	in	in	ADP
iajs-198	29	12	pg(2,q	pg(2,q	NOUN
iajs-198	29	13	)	)	PUNCT
iajs-198	29	14	is	be	AUX
iajs-198	29	15	an	an	DET
iajs-198	29	16	i	i	NOUN
iajs-198	29	17	-	-	PUNCT
iajs-198	29	18	secant	secant	PROPN
iajs-198	29	19	on	on	ADP
iajs-198	29	20	a	a	DET
iajs-198	29	21	(	(	PUNCT
iajs-198	29	22	k	k	NOUN
iajs-198	29	23	,	,	PUNCT
iajs-198	29	24	n)-arc	n)-arc	X
iajs-198	29	25	k	k	NOUN
iajs-198	30	1	if	if	SCONJ
iajs-198	30	2	ℓ	ℓ	NUM
iajs-198	30	3			ADJ
iajs-198	30	4	k	k	NOUN
iajs-198	30	5	=	=	PUNCT
iajs-198	30	6	i.	i.	NOUN
iajs-198	30	7	definition	definition	NOUN
iajs-198	30	8	(	(	PUNCT
iajs-198	30	9	1.4	1.4	NUM
iajs-198	30	10	):	):	PUNCT
iajs-198	30	11	[	[	X
iajs-198	30	12	2	2	X
iajs-198	30	13	]	]	PUNCT
iajs-198	30	14	a	a	DET
iajs-198	30	15	point	point	NOUN
iajs-198	30	16	n	n	CCONJ
iajs-198	30	17	which	which	PRON
iajs-198	30	18	is	be	AUX
iajs-198	30	19	not	not	PART
iajs-198	30	20	on	on	ADP
iajs-198	30	21	a	a	DET
iajs-198	30	22	(	(	PUNCT
iajs-198	30	23	k	k	NOUN
iajs-198	30	24	,	,	PUNCT
iajs-198	30	25	n)-arc	n)-arc	X
iajs-198	30	26	has	have	VERB
iajs-198	30	27	index	index	NOUN
iajs-198	30	28	i	i	PRON
iajs-198	30	29	if	if	SCONJ
iajs-198	30	30	there	there	PRON
iajs-198	30	31	are	be	VERB
iajs-198	30	32	exactly	exactly	ADV
iajs-198	30	33	i	i	PRON
iajs-198	30	34	(	(	PUNCT
iajs-198	30	35	n	n	CCONJ
iajs-198	30	36	-	-	PUNCT
iajs-198	30	37	secants	secant	NOUN
iajs-198	30	38	)	)	PUNCT
iajs-198	30	39	of	of	ADP
iajs-198	30	40	the	the	DET
iajs-198	30	41	arc	arc	NOUN
iajs-198	30	42	through	through	ADP
iajs-198	30	43	n	n	CCONJ
iajs-198	30	44	,	,	PUNCT
iajs-198	30	45	we	we	PRON
iajs-198	30	46	denote	denote	VERB
iajs-198	30	47	the	the	DET
iajs-198	30	48	number	number	NOUN
iajs-198	30	49	of	of	ADP
iajs-198	30	50	points	point	NOUN
iajs-198	30	51	n	n	PROPN
iajs-198	30	52	of	of	ADP
iajs-198	30	53	index	index	NOUN
iajs-198	30	54	i	i	PRON
iajs-198	30	55	by	by	ADP
iajs-198	30	56	ni	ni	PROPN
iajs-198	30	57	.	.	PROPN
iajs-198	30	58	remark	remark	PROPN
iajs-198	30	59	(	(	PUNCT
iajs-198	30	60	1.5	1.5	NUM
iajs-198	30	61	):	):	PUNCT
iajs-198	30	62	[	[	X
iajs-198	30	63	3	3	X
iajs-198	30	64	]	]	X
iajs-198	30	65	the	the	DET
iajs-198	30	66	(	(	PUNCT
iajs-198	30	67	k	k	NOUN
iajs-198	30	68	,	,	PUNCT
iajs-198	30	69	n)-arc	n)-arc	X
iajs-198	30	70	is	be	AUX
iajs-198	30	71	complete	complete	ADJ
iajs-198	30	72	iff	iff	PROPN
iajs-198	30	73	n0	n0	X
iajs-198	30	74	=	=	PROPN
iajs-198	30	75	0	0	PROPN
iajs-198	30	76	.	.	PUNCT
iajs-198	31	1	thus	thus	ADV
iajs-198	31	2	the	the	DET
iajs-198	31	3	arc	arc	NOUN
iajs-198	31	4	is	be	AUX
iajs-198	31	5	complete	complete	ADJ
iajs-198	31	6	iff	iff	PROPN
iajs-198	31	7	every	every	DET
iajs-198	31	8	point	point	NOUN
iajs-198	31	9	of	of	ADP
iajs-198	31	10	pg(2,q	pg(2,q	NOUN
iajs-198	31	11	)	)	PUNCT
iajs-198	31	12	lies	lie	VERB
iajs-198	31	13	on	on	ADP
iajs-198	31	14	some	some	DET
iajs-198	31	15	n	n	NOUN
iajs-198	31	16	-	-	PUNCT
iajs-198	31	17	secant	secant	NOUN
iajs-198	31	18	of	of	ADP
iajs-198	31	19	the	the	DET
iajs-198	31	20	arc	arc	NOUN
iajs-198	31	21	.	.	PUNCT
iajs-198	32	1	definition	definition	NOUN
iajs-198	32	2	(	(	PUNCT
iajs-198	32	3	1.6	1.6	NUM
iajs-198	32	4	):	):	PUNCT
iajs-198	32	5	[	[	X
iajs-198	32	6	3	3	X
iajs-198	32	7	]	]	X
iajs-198	32	8	an	an	DET
iajs-198	32	9	(	(	PUNCT
iajs-198	32	10	b	b	NOUN
iajs-198	32	11	,	,	PUNCT
iajs-198	32	12	t)-blocking	t)-blocke	VERB
iajs-198	32	13	set	set	VERB
iajs-198	32	14	b	b	NOUN
iajs-198	32	15	in	in	ADP
iajs-198	32	16	pg(2,q	pg(2,q	NOUN
iajs-198	32	17	)	)	PUNCT
iajs-198	32	18	is	be	AUX
iajs-198	32	19	a	a	DET
iajs-198	32	20	set	set	NOUN
iajs-198	32	21	of	of	ADP
iajs-198	32	22	b	b	NOUN
iajs-198	32	23	points	point	NOUN
iajs-198	32	24	such	such	ADJ
iajs-198	32	25	that	that	SCONJ
iajs-198	32	26	every	every	DET
iajs-198	32	27	line	line	NOUN
iajs-198	32	28	of	of	ADP
iajs-198	32	29	pg(2,q	pg(2,q	NOUN
iajs-198	32	30	)	)	PUNCT
iajs-198	32	31	intersects	intersect	NOUN
iajs-198	32	32	b	b	NOUN
iajs-198	32	33	in	in	ADP
iajs-198	32	34	at	at	ADV
iajs-198	32	35	least	least	ADJ
iajs-198	32	36	t	t	NOUN
iajs-198	32	37	points	point	NOUN
iajs-198	32	38	,	,	PUNCT
iajs-198	32	39	and	and	CCONJ
iajs-198	32	40	there	there	PRON
iajs-198	32	41	is	be	VERB
iajs-198	32	42	a	a	DET
iajs-198	32	43	line	line	NOUN
iajs-198	32	44	intersecting	intersect	VERB
iajs-198	32	45	b	b	NOUN
iajs-198	32	46	in	in	ADP
iajs-198	32	47	exactly	exactly	ADV
iajs-198	32	48	t	t	NOUN
iajs-198	32	49	points	point	NOUN
iajs-198	32	50	.	.	PUNCT
iajs-198	33	1	if	if	SCONJ
iajs-198	33	2	b	b	PROPN
iajs-198	33	3	contains	contain	VERB
iajs-198	33	4	a	a	DET
iajs-198	33	5	line	line	NOUN
iajs-198	33	6	,	,	PUNCT
iajs-198	33	7	it	it	PRON
iajs-198	33	8	is	be	AUX
iajs-198	33	9	called	call	VERB
iajs-198	33	10	trivial	trivial	ADJ
iajs-198	33	11	,	,	PUNCT
iajs-198	33	12	thus	thus	ADV
iajs-198	33	13	b	b	X
iajs-198	33	14	is	be	AUX
iajs-198	33	15	a	a	DET
iajs-198	33	16	subset	subset	NOUN
iajs-198	33	17	of	of	ADP
iajs-198	33	18	pg(2,q	pg(2,q	NOUN
iajs-198	33	19	)	)	PUNCT
iajs-198	33	20	which	which	PRON
iajs-198	33	21	meets	meet	VERB
iajs-198	33	22	every	every	DET
iajs-198	33	23	line	line	NOUN
iajs-198	33	24	ℓ	ℓ	NOUN
iajs-198	33	25	in	in	ADP
iajs-198	33	26	pg(2,q	pg(2,q	NOUN
iajs-198	33	27	)	)	PUNCT
iajs-198	33	28	,	,	PUNCT
iajs-198	33	29	but	but	CCONJ
iajs-198	33	30	contains	contain	VERB
iajs-198	33	31	no	no	DET
iajs-198	33	32	line	line	NOUN
iajs-198	33	33	completely	completely	ADV
iajs-198	33	34	;	;	PUNCT
iajs-198	33	35	that	that	PRON
iajs-198	33	36	is	be	AUX
iajs-198	33	37	t	t	PROPN
iajs-198	33	38			NUM
iajs-198	33	39	b	b	NUM
iajs-198	33	40			PUNCT
iajs-198	33	41	ℓ	ℓ	PROPN
iajs-198	33	42			NUM
iajs-198	33	43			NOUN
iajs-198	33	44	q	q	NOUN
iajs-198	33	45	for	for	ADP
iajs-198	33	46	every	every	DET
iajs-198	33	47	line	line	NOUN
iajs-198	33	48	ℓ	ℓ	NOUN
iajs-198	33	49	in	in	ADP
iajs-198	33	50	pg(2,q	pg(2,q	NOUN
iajs-198	33	51	)	)	PUNCT
iajs-198	33	52	.	.	PUNCT
iajs-198	34	1	so	so	ADV
iajs-198	34	2	b	b	PROPN
iajs-198	34	3	is	be	AUX
iajs-198	34	4	a	a	DET
iajs-198	34	5	blocking	blocking	NOUN
iajs-198	34	6	set	set	NOUN
iajs-198	34	7	iff	iff	PROPN
iajs-198	34	8	pg(2,q)\b	pg(2,q)\b	NOUN
iajs-198	34	9	is	be	AUX
iajs-198	34	10	a	a	DET
iajs-198	34	11	blocking	blocking	NOUN
iajs-198	34	12	set	set	NOUN
iajs-198	34	13	.	.	PUNCT
iajs-198	35	1	a	a	DET
iajs-198	35	2	blocking	blocking	NOUN
iajs-198	35	3	set	set	NOUN
iajs-198	35	4	is	be	AUX
iajs-198	35	5	minimal	minimal	ADJ
iajs-198	35	6	if	if	SCONJ
iajs-198	35	7	b\{p	b\{p	NOUN
iajs-198	35	8	}	}	PUNCT
iajs-198	35	9	is	be	AUX
iajs-198	35	10	not	not	PART
iajs-198	35	11	blocking	block	VERB
iajs-198	35	12	set	set	NOUN
iajs-198	35	13	for	for	ADP
iajs-198	35	14	every	every	DET
iajs-198	35	15	p	p	NOUN
iajs-198	35	16	in	in	ADP
iajs-198	35	17	b.	b.	PROPN
iajs-198	35	18	lemma	lemma	PROPN
iajs-198	35	19	(	(	PUNCT
iajs-198	35	20	1.7	1.7	NUM
iajs-198	35	21	):	):	PUNCT
iajs-198	35	22	[	[	X
iajs-198	35	23	4	4	X
iajs-198	35	24	]	]	X
iajs-198	35	25	a	a	PRON
iajs-198	35	26	(	(	PUNCT
iajs-198	35	27	b,1)-blocking	b,1)-blocke	VERB
iajs-198	35	28	set	set	NOUN
iajs-198	35	29	b	b	NOUN
iajs-198	35	30	is	be	AUX
iajs-198	35	31	minimal	minimal	ADJ
iajs-198	35	32	in	in	ADP
iajs-198	35	33	pg(2,q	pg(2,q	PRON
iajs-198	35	34	)	)	PUNCT
iajs-198	35	35	iff	iff	PROPN
iajs-198	35	36	there	there	PRON
iajs-198	35	37	is	be	VERB
iajs-198	35	38	a	a	DET
iajs-198	35	39	line	line	NOUN
iajs-198	35	40	ℓ	ℓ	NOUN
iajs-198	35	41	in	in	ADP
iajs-198	35	42	pg(2,q	pg(2,q	NOUN
iajs-198	35	43	)	)	PUNCT
iajs-198	35	44	such	such	ADJ
iajs-198	35	45	that	that	SCONJ
iajs-198	35	46	b	b	NOUN
iajs-198	35	47			PUNCT
iajs-198	35	48	ℓ	ℓ	NOUN
iajs-198	35	49	=	=	PUNCT
iajs-198	35	50	{	{	PUNCT
iajs-198	35	51	q	q	X
iajs-198	35	52	}	}	PUNCT
iajs-198	35	53	for	for	ADP
iajs-198	35	54	every	every	DET
iajs-198	35	55	q	q	NOUN
iajs-198	35	56	in	in	ADP
iajs-198	35	57	b.	b.	PROPN
iajs-198	35	58	definition	definition	NOUN
iajs-198	35	59	(	(	PUNCT
iajs-198	35	60	1.8	1.8	NUM
iajs-198	35	61	):	):	PUNCT
iajs-198	35	62	[	[	X
iajs-198	35	63	3	3	X
iajs-198	35	64	]	]	PUNCT
iajs-198	35	65	a	a	DET
iajs-198	35	66	variety	variety	NOUN
iajs-198	35	67	v(f	v(f	NOUN
iajs-198	35	68	)	)	PUNCT
iajs-198	35	69	of	of	ADP
iajs-198	35	70	pg(2,q	pg(2,q	NOUN
iajs-198	35	71	)	)	PUNCT
iajs-198	35	72	is	be	AUX
iajs-198	35	73	a	a	DET
iajs-198	35	74	subset	subset	NOUN
iajs-198	35	75	of	of	ADP
iajs-198	35	76	pg(2,q	pg(2,q	NOUN
iajs-198	35	77	)	)	PUNCT
iajs-198	35	78	such	such	ADJ
iajs-198	35	79	that	that	PRON
iajs-198	35	80	:	:	PUNCT
iajs-198	35	81	v(f	v(f	X
iajs-198	35	82	)	)	PUNCT
iajs-198	35	83	=	=	PRON
iajs-198	35	84	{	{	PUNCT
iajs-198	35	85	p(a	p(a	NOUN
iajs-198	35	86	)	)	PUNCT
iajs-198	35	87			NOUN
iajs-198	35	88	pg(2,q	pg(2,q	NOUN
iajs-198	35	89	)	)	PUNCT
iajs-198	35	90			NUM
iajs-198	35	91	f(a	f(a	NOUN
iajs-198	35	92	)	)	PUNCT
iajs-198	35	93	=	=	PUNCT
iajs-198	36	1	0	0	NUM
iajs-198	36	2	}	}	PUNCT
iajs-198	36	3	.	.	PUNCT
iajs-198	37	1	definition	definition	NOUN
iajs-198	37	2	(	(	PUNCT
iajs-198	37	3	1.9	1.9	NUM
iajs-198	37	4	):	):	PUNCT
iajs-198	37	5	[	[	X
iajs-198	37	6	5	5	NUM
iajs-198	37	7	]	]	PUNCT
iajs-198	37	8	let	let	VERB
iajs-198	37	9	q(2,q	q(2,q	NOUN
iajs-198	37	10	)	)	PUNCT
iajs-198	37	11	be	be	AUX
iajs-198	37	12	the	the	DET
iajs-198	37	13	set	set	NOUN
iajs-198	37	14	of	of	ADP
iajs-198	37	15	quadrics	quadric	NOUN
iajs-198	37	16	in	in	ADP
iajs-198	37	17	pg(2,q	pg(2,q	NOUN
iajs-198	37	18	)	)	PUNCT
iajs-198	37	19	;	;	PUNCT
iajs-198	37	20	that	that	PRON
iajs-198	37	21	is	be	AUX
iajs-198	37	22	the	the	DET
iajs-198	37	23	varieties	variety	NOUN
iajs-198	37	24	v(f	v(f	PROPN
iajs-198	37	25	)	)	PUNCT
iajs-198	37	26	,	,	PUNCT
iajs-198	37	27	where	where	SCONJ
iajs-198	37	28	:	:	PUNCT
iajs-198	37	29	f	f	PROPN
iajs-198	37	30	=	=	SYM
iajs-198	37	31	a11	a11	PROPN
iajs-198	37	32	2	2	NUM
iajs-198	37	33	1x	1x	NOUN
iajs-198	37	34	+	+	CCONJ
iajs-198	37	35	a22	a22	PROPN
iajs-198	37	36	2	2	NUM
iajs-198	37	37	2x	2x	NUM
iajs-198	37	38	+	+	CCONJ
iajs-198	37	39	a33	a33	NOUN
iajs-198	37	40	2	2	NUM
iajs-198	37	41	3x	3x	NUM
iajs-198	37	42	+	+	CCONJ
iajs-198	37	43	a12x1x2	a12x1x2	NOUN
iajs-198	37	44	+	+	CCONJ
iajs-198	37	45	a13x1x3	a13x1x3	PROPN
iajs-198	37	46	+	+	PROPN
iajs-198	37	47	a23x2x3	a23x2x3	PROPN
iajs-198	37	48	...	...	PUNCT
iajs-198	37	49	(	(	PUNCT
iajs-198	37	50	1	1	X
iajs-198	37	51	)	)	PUNCT
iajs-198	37	52	if	if	SCONJ
iajs-198	37	53	v(f	v(f	NUM
iajs-198	37	54	)	)	PUNCT
iajs-198	37	55	is	be	AUX
iajs-198	37	56	non	non	ADJ
iajs-198	37	57	-	-	ADJ
iajs-198	37	58	singular	singular	ADJ
iajs-198	37	59	,	,	PUNCT
iajs-198	37	60	then	then	ADV
iajs-198	37	61	the	the	DET
iajs-198	37	62	quadric	quadric	NOUN
iajs-198	37	63	is	be	AUX
iajs-198	37	64	a	a	DET
iajs-198	37	65	conic	conic	ADJ
iajs-198	37	66	.	.	PUNCT
iajs-198	38	1	165	165	NUM
iajs-198	38	2	|	|	NOUN
iajs-198	38	3	mathematics	mathematic	NOUN
iajs-198	38	4	2015	2015	NUM
iajs-198	38	5	)	)	PUNCT
iajs-198	38	6	عام	عام	ADP
iajs-198	38	7	1العدد	1العدد	NUM
iajs-198	38	8	(	(	PUNCT
iajs-198	38	9	28مجلة	28مجلة	X
iajs-198	38	10	إبن	إبن	VERB
iajs-198	38	11	الھيثم	الھيثم	NOUN
iajs-198	38	12	للعلوم	للعلوم	NOUN
iajs-198	38	13	الصرفة	الصرفة	NOUN
iajs-198	39	1	و	و	PRON
iajs-198	39	2	التطبيقية	التطبيقية	ADV
iajs-198	39	3	المجلد	المجلد	VERB
iajs-198	39	4	ibn	ibn	PROPN
iajs-198	39	5	al	al	PROPN
iajs-198	39	6	-	-	PUNCT
iajs-198	39	7	haitham	haitham	PROPN
iajs-198	39	8	j.	j.	PROPN
iajs-198	39	9	for	for	ADP
iajs-198	39	10	pure	pure	PROPN
iajs-198	39	11	&	&	CCONJ
iajs-198	39	12	appl	appl	PROPN
iajs-198	39	13	.	.	PUNCT
iajs-198	40	1	sci	sci	PROPN
iajs-198	40	2	.	.	PUNCT
iajs-198	40	3	vol	vol	NOUN
iajs-198	40	4	.	.	PROPN
iajs-198	41	1	28	28	NUM
iajs-198	41	2	(	(	PUNCT
iajs-198	41	3	1	1	NUM
iajs-198	41	4	)	)	PUNCT
iajs-198	41	5	2015	2015	NUM
iajs-198	41	6	that	that	PRON
iajs-198	41	7	is	be	AUX
iajs-198	41	8	,	,	PUNCT
iajs-198	42	1	if	if	SCONJ
iajs-198	42	2	1312	1312	NUM
iajs-198	42	3	11	11	NUM
iajs-198	42	4	2312	2312	NUM
iajs-198	42	5	22	22	NUM
iajs-198	42	6	13	13	NUM
iajs-198	42	7	23	23	NUM
iajs-198	42	8	33	33	NUM
iajs-198	42	9	aa	aa	NOUN
iajs-198	42	10	a	a	DET
iajs-198	42	11	2	2	NUM
iajs-198	42	12	2	2	NUM
iajs-198	42	13	aa	aa	NOUN
iajs-198	42	14	a	a	DET
iajs-198	42	15	2	2	NUM
iajs-198	42	16	2	2	NUM
iajs-198	42	17	a	a	DET
iajs-198	42	18	a	a	DET
iajs-198	42	19	a	a	DET
iajs-198	42	20	2	2	NUM
iajs-198	42	21	2	2	NUM
iajs-198	42	22			NOUN
iajs-198	42	23			ADJ
iajs-198	42	24			NOUN
iajs-198	42	25			PROPN
iajs-198	42	26			NOUN
iajs-198	42	27			NOUN
iajs-198	42	28			NOUN
iajs-198	42	29			ADV
iajs-198	42	30			NUM
iajs-198	42	31			NOUN
iajs-198	42	32			NOUN
iajs-198	42	33			NOUN
iajs-198	42	34			NOUN
iajs-198	42	35			NOUN
iajs-198	42	36			NOUN
iajs-198	42	37			NOUN
iajs-198	42	38			PROPN
iajs-198	42	39			PROPN
iajs-198	42	40	is	be	AUX
iajs-198	42	41	nonsingular	nonsingular	ADJ
iajs-198	42	42	,	,	PUNCT
iajs-198	42	43	then	then	ADV
iajs-198	42	44	the	the	DET
iajs-198	42	45	quadric	quadric	ADJ
iajs-198	42	46	(	(	PUNCT
iajs-198	42	47	1	1	NUM
iajs-198	42	48	)	)	PUNCT
iajs-198	42	49	is	be	AUX
iajs-198	42	50	a	a	DET
iajs-198	42	51	conic	conic	NOUN
iajs-198	42	52	.	.	PUNCT
iajs-198	43	1	1.10	1.10	NUM
iajs-198	43	2	the	the	DET
iajs-198	43	3	relation	relation	NOUN
iajs-198	43	4	between	between	ADP
iajs-198	43	5	the	the	DET
iajs-198	43	6	blocking	blocking	NOUN
iajs-198	43	7	(	(	PUNCT
iajs-198	43	8	b	b	NOUN
iajs-198	43	9	,	,	PUNCT
iajs-198	43	10	t)-set	t)-set	NOUN
iajs-198	43	11	and	and	CCONJ
iajs-198	43	12	the	the	DET
iajs-198	43	13	(	(	PUNCT
iajs-198	43	14	k	k	NOUN
iajs-198	43	15	,	,	PUNCT
iajs-198	43	16	n)-arc	n)-arc	PUNCT
iajs-198	44	1	[	[	X
iajs-198	44	2	5	5	X
iajs-198	44	3	]	]	X
iajs-198	44	4	the	the	DET
iajs-198	44	5	(	(	PUNCT
iajs-198	44	6	k	k	NOUN
iajs-198	44	7	,	,	PUNCT
iajs-198	44	8	n)-arc	n)-arc	PRON
iajs-198	44	9	and	and	CCONJ
iajs-198	44	10	the	the	DET
iajs-198	44	11	(	(	PUNCT
iajs-198	44	12	b	b	NOUN
iajs-198	44	13	,	,	PUNCT
iajs-198	44	14	t)-blocking	t)-blocke	VERB
iajs-198	44	15	set	set	VERB
iajs-198	44	16	are	be	AUX
iajs-198	44	17	each	each	PRON
iajs-198	44	18	complement	complement	NOUN
iajs-198	44	19	to	to	ADP
iajs-198	44	20	the	the	DET
iajs-198	44	21	other	other	ADJ
iajs-198	44	22	in	in	ADP
iajs-198	44	23	the	the	DET
iajs-198	44	24	projective	projective	ADJ
iajs-198	44	25	plane	plane	NOUN
iajs-198	44	26	pg(2,q	pg(2,q	PRON
iajs-198	44	27	)	)	PUNCT
iajs-198	44	28	,	,	PUNCT
iajs-198	44	29	that	that	ADV
iajs-198	44	30	is	is	ADV
iajs-198	44	31	,	,	PUNCT
iajs-198	44	32	n	n	PROPN
iajs-198	44	33	+	+	NUM
iajs-198	44	34	t	t	NOUN
iajs-198	44	35	=	=	PUNCT
iajs-198	44	36	q	q	PROPN
iajs-198	45	1	+	+	NUM
iajs-198	45	2	1	1	NUM
iajs-198	45	3	and	and	CCONJ
iajs-198	45	4	k	k	PROPN
iajs-198	46	1	+	+	CCONJ
iajs-198	46	2	b	b	X
iajs-198	46	3	=	=	SYM
iajs-198	46	4	q2	q2	PROPN
iajs-198	46	5	+	+	CCONJ
iajs-198	46	6	q	q	PUNCT
iajs-198	47	1	+	+	NUM
iajs-198	47	2	1	1	NUM
iajs-198	47	3	.	.	PUNCT
iajs-198	47	4	thus	thus	ADV
iajs-198	47	5	the	the	DET
iajs-198	47	6	complement	complement	NOUN
iajs-198	47	7	of	of	ADP
iajs-198	47	8	the	the	DET
iajs-198	47	9	(	(	PUNCT
iajs-198	47	10	b	b	NOUN
iajs-198	47	11	,	,	PUNCT
iajs-198	47	12	t)blocking	t)blocking	NOUN
iajs-198	47	13	set	set	NOUN
iajs-198	47	14	is	be	AUX
iajs-198	47	15	the	the	DET
iajs-198	47	16	set	set	NOUN
iajs-198	47	17	of	of	ADP
iajs-198	47	18	points	point	NOUN
iajs-198	47	19	that	that	PRON
iajs-198	47	20	intersects	intersect	VERB
iajs-198	47	21	every	every	DET
iajs-198	47	22	line	line	NOUN
iajs-198	47	23	in	in	ADP
iajs-198	47	24	at	at	ADP
iajs-198	47	25	most	most	ADJ
iajs-198	47	26	n	n	NUM
iajs-198	47	27	points	point	NOUN
iajs-198	47	28	which	which	PRON
iajs-198	47	29	represents	represent	VERB
iajs-198	47	30	the	the	DET
iajs-198	47	31	(	(	PUNCT
iajs-198	47	32	k	k	NOUN
iajs-198	47	33	,	,	PUNCT
iajs-198	47	34	n)-arc	n)-arc	NOUN
iajs-198	47	35	.	.	PUNCT
iajs-198	48	1	also	also	ADV
iajs-198	48	2	finding	find	VERB
iajs-198	48	3	minimal	minimal	ADJ
iajs-198	48	4	(	(	PUNCT
iajs-198	48	5	b	b	NOUN
iajs-198	48	6	,	,	PUNCT
iajs-198	48	7	t)-blocking	t)-blocke	VERB
iajs-198	48	8	set	set	VERB
iajs-198	48	9	is	be	AUX
iajs-198	48	10	equivalent	equivalent	ADJ
iajs-198	48	11	to	to	ADP
iajs-198	48	12	finding	find	VERB
iajs-198	48	13	maximal	maximal	ADJ
iajs-198	48	14	(	(	PUNCT
iajs-198	48	15	k	k	X
iajs-198	48	16	,	,	PUNCT
iajs-198	48	17	n)arc	n)arc	PROPN
iajs-198	48	18	in	in	ADP
iajs-198	48	19	pg(2,q	pg(2,q	NOUN
iajs-198	48	20	)	)	PUNCT
iajs-198	48	21	.	.	PUNCT
iajs-198	49	1	lemma	lemma	PROPN
iajs-198	49	2	(	(	PUNCT
iajs-198	49	3	1.11	1.11	NUM
iajs-198	49	4	):	):	PUNCT
iajs-198	49	5	[	[	X
iajs-198	49	6	4	4	X
iajs-198	49	7	]	]	PUNCT
iajs-198	49	8	let	let	VERB
iajs-198	49	9			NOUN
iajs-198	49	10	=	=	PUNCT
iajs-198	49	11	c	c	PROPN
iajs-198	49	12			PROPN
iajs-198	49	13	ℓ	ℓ	PROPN
iajs-198	49	14			PROPN
iajs-198	49	15	{	{	PUNCT
iajs-198	49	16	p	p	PROPN
iajs-198	49	17	}	}	PUNCT
iajs-198	49	18	\	\	NOUN
iajs-198	49	19	{	{	PUNCT
iajs-198	49	20	p1,p2	p1,p2	PROPN
iajs-198	49	21	}	}	PUNCT
iajs-198	49	22	,	,	PUNCT
iajs-198	49	23	where	where	SCONJ
iajs-198	49	24	c	c	PROPN
iajs-198	49	25	is	be	AUX
iajs-198	49	26	a	a	DET
iajs-198	49	27	conic	conic	ADJ
iajs-198	49	28	,	,	PUNCT
iajs-198	49	29	ℓ	ℓ	PROPN
iajs-198	49	30	is	be	AUX
iajs-198	49	31	a	a	DET
iajs-198	49	32	(	(	PUNCT
iajs-198	49	33	2	2	NUM
iajs-198	49	34	-	-	PUNCT
iajs-198	49	35	secant	secant	NOUN
iajs-198	49	36	)	)	PUNCT
iajs-198	49	37	of	of	ADP
iajs-198	49	38	c	c	NOUN
iajs-198	49	39	such	such	ADJ
iajs-198	50	1	that	that	SCONJ
iajs-198	50	2	c	c	NOUN
iajs-198	50	3			PUNCT
iajs-198	50	4	ℓ	ℓ	NOUN
iajs-198	50	5	=	=	SYM
iajs-198	50	6	{	{	PUNCT
iajs-198	50	7	p1,p2	p1,p2	PROPN
iajs-198	50	8	}	}	PUNCT
iajs-198	50	9	,	,	PUNCT
iajs-198	50	10	p	p	NOUN
iajs-198	50	11	is	be	AUX
iajs-198	50	12	the	the	DET
iajs-198	50	13	point	point	NOUN
iajs-198	50	14	of	of	ADP
iajs-198	50	15	intersection	intersection	NOUN
iajs-198	50	16	of	of	ADP
iajs-198	50	17	the	the	DET
iajs-198	50	18	two	two	NUM
iajs-198	50	19	tangents	tangent	NOUN
iajs-198	50	20	to	to	ADP
iajs-198	50	21	c	c	PROPN
iajs-198	50	22	at	at	ADP
iajs-198	50	23	p1	p1	PROPN
iajs-198	50	24	and	and	CCONJ
iajs-198	50	25	p2	p2	NOUN
iajs-198	50	26	,	,	PUNCT
iajs-198	50	27	then	then	ADV
iajs-198	50	28			PROPN
iajs-198	50	29	is	be	AUX
iajs-198	50	30	a	a	DET
iajs-198	50	31	minimal	minimal	ADJ
iajs-198	50	32	(	(	PUNCT
iajs-198	50	33	2p	2p	NUM
iajs-198	50	34	–	–	PUNCT
iajs-198	50	35	1,1)-blocking	1,1)-blocking	NUM
iajs-198	50	36	set	set	NOUN
iajs-198	50	37	.	.	PUNCT
iajs-198	51	1	definition	definition	NOUN
iajs-198	51	2	(	(	PUNCT
iajs-198	51	3	1.12	1.12	NUM
iajs-198	51	4	):	):	PUNCT
iajs-198	51	5	[	[	X
iajs-198	51	6	5	5	NUM
iajs-198	51	7	]	]	PUNCT
iajs-198	51	8	let	let	VERB
iajs-198	51	9	v(n	v(n	NOUN
iajs-198	51	10	,	,	PUNCT
iajs-198	51	11	q	q	NOUN
iajs-198	51	12	)	)	PUNCT
iajs-198	51	13	denote	denote	VERB
iajs-198	51	14	the	the	DET
iajs-198	51	15	vector	vector	NOUN
iajs-198	51	16	space	space	NOUN
iajs-198	51	17	of	of	ADP
iajs-198	51	18	all	all	DET
iajs-198	51	19	ordered	order	VERB
iajs-198	51	20	n	n	CCONJ
iajs-198	51	21	-	-	PUNCT
iajs-198	51	22	tuples	tuple	NOUN
iajs-198	51	23	over	over	ADP
iajs-198	51	24	gf(q	gf(q	NOUN
iajs-198	51	25	)	)	PUNCT
iajs-198	51	26	.	.	PUNCT
iajs-198	52	1	a	a	DET
iajs-198	52	2	linear	linear	PROPN
iajs-198	52	3	code	code	NOUN
iajs-198	52	4	c	c	NOUN
iajs-198	52	5	over	over	ADP
iajs-198	52	6	gf(q	gf(q	NOUN
iajs-198	52	7	)	)	PUNCT
iajs-198	52	8	of	of	ADP
iajs-198	52	9	length	length	NOUN
iajs-198	52	10	n	n	PROPN
iajs-198	52	11	and	and	CCONJ
iajs-198	52	12	dimension	dimension	NOUN
iajs-198	53	1	k	k	PROPN
iajs-198	53	2	is	be	AUX
iajs-198	53	3	a	a	DET
iajs-198	53	4	k	k	ADJ
iajs-198	53	5	-	-	ADJ
iajs-198	53	6	dimensional	dimensional	ADJ
iajs-198	53	7	subspace	subspace	NOUN
iajs-198	53	8	of	of	ADP
iajs-198	53	9	v(n	v(n	NOUN
iajs-198	53	10	,	,	PUNCT
iajs-198	53	11	q	q	NOUN
iajs-198	53	12	)	)	PUNCT
iajs-198	53	13	.	.	PUNCT
iajs-198	54	1	the	the	DET
iajs-198	54	2	vectors	vector	NOUN
iajs-198	54	3	of	of	ADP
iajs-198	54	4	c	c	PROPN
iajs-198	54	5	are	be	AUX
iajs-198	54	6	called	call	VERB
iajs-198	54	7	code	code	NOUN
iajs-198	54	8	words	word	NOUN
iajs-198	54	9	.	.	PUNCT
iajs-198	55	1	the	the	DET
iajs-198	55	2	hamming	hamming	NOUN
iajs-198	55	3	distance	distance	NOUN
iajs-198	55	4	between	between	ADP
iajs-198	55	5	two	two	NUM
iajs-198	55	6	codewords	codeword	NOUN
iajs-198	55	7	is	be	AUX
iajs-198	55	8	defined	define	VERB
iajs-198	55	9	to	to	PART
iajs-198	55	10	be	be	AUX
iajs-198	55	11	the	the	DET
iajs-198	55	12	number	number	NOUN
iajs-198	55	13	of	of	ADP
iajs-198	55	14	coordinate	coordinate	NOUN
iajs-198	55	15	places	place	NOUN
iajs-198	55	16	in	in	ADP
iajs-198	55	17	which	which	PRON
iajs-198	55	18	they	they	PRON
iajs-198	55	19	differ	differ	VERB
iajs-198	55	20	.	.	PUNCT
iajs-198	56	1	the	the	DET
iajs-198	56	2	minimum	minimum	ADJ
iajs-198	56	3	distance	distance	NOUN
iajs-198	56	4	of	of	ADP
iajs-198	56	5	a	a	DET
iajs-198	56	6	code	code	NOUN
iajs-198	56	7	is	be	AUX
iajs-198	56	8	the	the	DET
iajs-198	56	9	smallest	small	ADJ
iajs-198	56	10	distances	distance	NOUN
iajs-198	56	11	between	between	ADP
iajs-198	56	12	distinct	distinct	ADJ
iajs-198	56	13	codewords	codeword	NOUN
iajs-198	56	14	.	.	PUNCT
iajs-198	57	1	such	such	DET
iajs-198	57	2	a	a	DET
iajs-198	57	3	code	code	NOUN
iajs-198	57	4	is	be	AUX
iajs-198	57	5	called	call	VERB
iajs-198	57	6	an	an	DET
iajs-198	57	7	[	[	NOUN
iajs-198	57	8	n	n	CCONJ
iajs-198	57	9	,	,	PUNCT
iajs-198	57	10	k	k	NOUN
iajs-198	57	11	,	,	PUNCT
iajs-198	57	12	d]q	d]q	NOUN
iajs-198	57	13	code	code	NOUN
iajs-198	57	14	if	if	SCONJ
iajs-198	57	15	its	its	PRON
iajs-198	57	16	minimum	minimum	ADJ
iajs-198	57	17	hamming	hamming	NOUN
iajs-198	57	18	distance	distance	NOUN
iajs-198	57	19	is	be	AUX
iajs-198	57	20	d.	d.	PROPN
iajs-198	57	21	there	there	PRON
iajs-198	57	22	exists	exist	VERB
iajs-198	57	23	a	a	DET
iajs-198	57	24	relationship	relationship	NOUN
iajs-198	57	25	between	between	ADP
iajs-198	57	26	complete	complete	ADJ
iajs-198	57	27	(	(	PUNCT
iajs-198	57	28	n	n	CCONJ
iajs-198	57	29	,	,	PUNCT
iajs-198	57	30	r)-arcs	r)-arc	NOUN
iajs-198	57	31	in	in	ADP
iajs-198	57	32	pg(2,q	pg(2,q	NOUN
iajs-198	57	33	)	)	PUNCT
iajs-198	57	34	and	and	CCONJ
iajs-198	58	1	[	[	AUX
iajs-198	58	2	n,3,d]q	n,3,d]q	PROPN
iajs-198	58	3	codes	code	NOUN
iajs-198	58	4	given	give	VERB
iajs-198	58	5	by	by	ADP
iajs-198	58	6	the	the	DET
iajs-198	58	7	next	next	ADJ
iajs-198	58	8	theorem	theorem	PROPN
iajs-198	58	9	.	.	PUNCT
iajs-198	58	10	theorem	theorem	PROPN
iajs-198	58	11	(	(	PUNCT
iajs-198	58	12	1.13	1.13	NUM
iajs-198	58	13	):	):	PUNCT
iajs-198	58	14	[	[	X
iajs-198	58	15	5	5	NUM
iajs-198	58	16	]	]	PUNCT
iajs-198	58	17	there	there	PRON
iajs-198	58	18	exists	exist	VERB
iajs-198	58	19	a	a	DET
iajs-198	58	20	projective	projective	NOUN
iajs-198	58	21	[	[	X
iajs-198	58	22	n,3,d]q	n,3,d]q	PROPN
iajs-198	58	23	code	code	NOUN
iajs-198	58	24	if	if	SCONJ
iajs-198	58	25	and	and	CCONJ
iajs-198	58	26	only	only	ADV
iajs-198	58	27	if	if	SCONJ
iajs-198	58	28	there	there	PRON
iajs-198	58	29	exists	exist	VERB
iajs-198	58	30	an	an	DET
iajs-198	58	31	(	(	PUNCT
iajs-198	58	32	n	n	X
iajs-198	58	33	,	,	PUNCT
iajs-198	58	34	n	n	CCONJ
iajs-198	58	35	–	–	PUNCT
iajs-198	58	36	d)-arc	d)-arc	NOUN
iajs-198	58	37	in	in	ADP
iajs-198	58	38	pg(2,q	pg(2,q	NOUN
iajs-198	58	39	)	)	PUNCT
iajs-198	58	40	.	.	PUNCT
iajs-198	59	1	theorem	theorem	NOUN
iajs-198	59	2	(	(	PUNCT
iajs-198	59	3	1.14	1.14	NUM
iajs-198	59	4	):	):	PUNCT
iajs-198	59	5	[	[	X
iajs-198	59	6	6	6	NUM
iajs-198	59	7	]	]	PUNCT
iajs-198	59	8	let	let	VERB
iajs-198	59	9	2	2	NOUN
iajs-198	59	10	be	be	AUX
iajs-198	59	11	a	a	DET
iajs-198	59	12	double	double	ADJ
iajs-198	59	13	blocking	blocking	NOUN
iajs-198	59	14	set	set	VERB
iajs-198	59	15	in	in	ADP
iajs-198	59	16	pg(2,q	pg(2,q	NOUN
iajs-198	59	17	):	):	PUNCT
iajs-198	59	18	(	(	PUNCT
iajs-198	59	19	1	1	X
iajs-198	59	20	)	)	PUNCT
iajs-198	59	21	if	if	SCONJ
iajs-198	59	22	q	q	PUNCT
iajs-198	59	23	<	<	X
iajs-198	59	24	9	9	NUM
iajs-198	59	25	,	,	PUNCT
iajs-198	59	26	then	then	ADV
iajs-198	59	27	2	2	NOUN
iajs-198	59	28	has	have	VERB
iajs-198	59	29	at	at	ADV
iajs-198	59	30	least	least	ADJ
iajs-198	59	31	3q	3q	NUM
iajs-198	59	32	points	point	NOUN
iajs-198	59	33	.	.	PUNCT
iajs-198	60	1	(	(	PUNCT
iajs-198	60	2	2	2	X
iajs-198	60	3	)	)	PUNCT
iajs-198	60	4	if	if	SCONJ
iajs-198	60	5	q	q	NOUN
iajs-198	60	6	=	=	NOUN
iajs-198	60	7	11	11	NUM
iajs-198	60	8	,	,	PUNCT
iajs-198	60	9	13	13	NUM
iajs-198	60	10	,	,	PUNCT
iajs-198	60	11	17	17	NUM
iajs-198	60	12	or	or	CCONJ
iajs-198	60	13	19	19	NUM
iajs-198	60	14	,	,	PUNCT
iajs-198	60	15	then	then	ADV
iajs-198	60	16	2	2	NUM
iajs-198	60	17			NUM
iajs-198	60	18	(	(	PUNCT
iajs-198	60	19	5q	5q	NOUN
iajs-198	60	20	+	+	X
iajs-198	61	1	7)/2	7)/2	NUM
iajs-198	61	2	.	.	PUNCT
iajs-198	61	3	theorem	theorem	NOUN
iajs-198	61	4	(	(	PUNCT
iajs-198	61	5	1.15	1.15	NUM
iajs-198	61	6	):	):	PUNCT
iajs-198	61	7	[	[	X
iajs-198	61	8	6	6	NUM
iajs-198	61	9	]	]	PUNCT
iajs-198	61	10	let	let	AUX
iajs-198	61	11	3	3	NOUN
iajs-198	61	12	be	be	AUX
iajs-198	61	13	a	a	DET
iajs-198	61	14	trible	trible	ADJ
iajs-198	61	15	blocking	blocking	NOUN
iajs-198	61	16	set	set	VERB
iajs-198	61	17	in	in	ADP
iajs-198	61	18	pg(2,q	pg(2,q	NOUN
iajs-198	61	19	):	):	PUNCT
iajs-198	61	20	(	(	PUNCT
iajs-198	61	21	1	1	X
iajs-198	61	22	)	)	PUNCT
iajs-198	61	23	if	if	SCONJ
iajs-198	61	24	q	q	NOUN
iajs-198	61	25	=	=	SYM
iajs-198	61	26	5	5	NUM
iajs-198	61	27	,	,	PUNCT
iajs-198	61	28	7,9	7,9	NUM
iajs-198	61	29	,	,	PUNCT
iajs-198	61	30	then	then	ADV
iajs-198	61	31	3	3	NOUN
iajs-198	61	32	has	have	VERB
iajs-198	61	33	at	at	ADP
iajs-198	61	34	least	least	ADJ
iajs-198	61	35	4q	4q	NUM
iajs-198	61	36	points	point	NOUN
iajs-198	61	37	and	and	CCONJ
iajs-198	61	38	if	if	SCONJ
iajs-198	61	39	q	q	NOUN
iajs-198	61	40	=	=	NOUN
iajs-198	61	41	8	8	NUM
iajs-198	61	42	,	,	PUNCT
iajs-198	61	43	then	then	ADV
iajs-198	61	44	3	3	NOUN
iajs-198	61	45	has	have	VERB
iajs-198	61	46	at	at	ADV
iajs-198	61	47	least	least	ADJ
iajs-198	61	48	31	31	NUM
iajs-198	61	49	points	point	NOUN
iajs-198	61	50	.	.	PUNCT
iajs-198	62	1	(	(	PUNCT
iajs-198	62	2	2	2	X
iajs-198	62	3	)	)	PUNCT
iajs-198	62	4	if	if	SCONJ
iajs-198	62	5	q	q	NOUN
iajs-198	62	6	=	=	NOUN
iajs-198	62	7	11	11	NUM
iajs-198	62	8	,	,	PUNCT
iajs-198	62	9	13	13	NUM
iajs-198	62	10	or	or	CCONJ
iajs-198	62	11	17	17	NUM
iajs-198	62	12	,	,	PUNCT
iajs-198	62	13	then	then	ADV
iajs-198	62	14	3	3	PROPN
iajs-198	62	15			PROPN
iajs-198	62	16	(	(	PUNCT
iajs-198	62	17	7q	7q	NOUN
iajs-198	62	18	+	+	CCONJ
iajs-198	62	19	9)/2	9)/2	NUM
iajs-198	62	20	.	.	PUNCT
iajs-198	63	1	now	now	ADV
iajs-198	63	2	,	,	PUNCT
iajs-198	63	3	we	we	PRON
iajs-198	63	4	prove	prove	VERB
iajs-198	63	5	the	the	DET
iajs-198	63	6	following	follow	VERB
iajs-198	63	7	theorem	theorem	NOUN
iajs-198	63	8	:	:	PUNCT
iajs-198	63	9	theorem	theorem	NOUN
iajs-198	63	10	(	(	PUNCT
iajs-198	63	11	1.16	1.16	NUM
iajs-198	63	12	):	):	PUNCT
iajs-198	63	13	a	a	DET
iajs-198	63	14	(	(	PUNCT
iajs-198	63	15	b	b	NOUN
iajs-198	63	16	,	,	PUNCT
iajs-198	63	17	t)-blocking	t)-blocke	VERB
iajs-198	63	18	set	set	VERB
iajs-198	63	19	b	b	PROPN
iajs-198	63	20	is	be	AUX
iajs-198	63	21	minimal	minimal	ADJ
iajs-198	63	22	in	in	ADP
iajs-198	63	23	pg(2,q	pg(2,q	NOUN
iajs-198	63	24	)	)	PUNCT
iajs-198	63	25	then	then	ADV
iajs-198	63	26	every	every	DET
iajs-198	63	27	point	point	NOUN
iajs-198	63	28	p	p	NOUN
iajs-198	63	29	in	in	ADP
iajs-198	63	30	b	b	NOUN
iajs-198	63	31	there	there	PRON
iajs-198	63	32	is	be	VERB
iajs-198	63	33	a	a	DET
iajs-198	63	34	t	t	NOUN
iajs-198	63	35	-	-	PUNCT
iajs-198	63	36	secant	secant	NOUN
iajs-198	63	37	of	of	ADP
iajs-198	63	38	b	b	NOUN
iajs-198	63	39	containing	contain	VERB
iajs-198	63	40	p.	p.	NOUN
iajs-198	63	41	proof	proof	NOUN
iajs-198	63	42	:	:	PUNCT
iajs-198	63	43	suppose	suppose	VERB
iajs-198	63	44	b	b	NOUN
iajs-198	63	45	is	be	AUX
iajs-198	63	46	minimal	minimal	ADJ
iajs-198	63	47	blocking	blocking	NOUN
iajs-198	63	48	set	set	NOUN
iajs-198	63	49	,	,	PUNCT
iajs-198	63	50	let	let	VERB
iajs-198	63	51	p	p	PRON
iajs-198	63	52	be	be	AUX
iajs-198	63	53	any	any	DET
iajs-198	63	54	point	point	NOUN
iajs-198	63	55	in	in	ADP
iajs-198	63	56	b.	b.	PROPN
iajs-198	63	57	let	let	VERB
iajs-198	63	58	k	k	PROPN
iajs-198	63	59	be	be	AUX
iajs-198	63	60	the	the	DET
iajs-198	63	61	complement	complement	NOUN
iajs-198	63	62	of	of	ADP
iajs-198	63	63	b	b	NOUN
iajs-198	63	64	,	,	PUNCT
iajs-198	63	65	then	then	ADV
iajs-198	63	66	k	k	PROPN
iajs-198	63	67	is	be	AUX
iajs-198	63	68	complete	complete	ADJ
iajs-198	63	69	(	(	PUNCT
iajs-198	63	70	k	k	NOUN
iajs-198	63	71	,	,	PUNCT
iajs-198	63	72	n)-arc	n)-arc	ADV
iajs-198	63	73	in	in	ADP
iajs-198	63	74	pg(2,q	pg(2,q	NOUN
iajs-198	63	75	)	)	PUNCT
iajs-198	63	76	and	and	CCONJ
iajs-198	63	77	p	p	NOUN
iajs-198	63	78	is	be	AUX
iajs-198	63	79	not	not	PART
iajs-198	63	80	k.	k.	PROPN
iajs-198	63	81	,	,	PUNCT
iajs-198	63	82	then	then	ADV
iajs-198	63	83	p	p	PROPN
iajs-198	63	84	is	be	AUX
iajs-198	63	85	an	an	DET
iajs-198	63	86	(	(	PUNCT
iajs-198	63	87	n	n	CCONJ
iajs-198	63	88	-	-	PUNCT
iajs-198	63	89	secant	secant	ADJ
iajs-198	63	90	)	)	PUNCT
iajs-198	63	91	of	of	ADP
iajs-198	63	92	k	k	PROPN
iajs-198	63	93	,	,	PUNCT
iajs-198	63	94	but	but	CCONJ
iajs-198	63	95	q	q	PROPN
iajs-198	64	1	+	+	NOUN
iajs-198	64	2	1	1	NUM
iajs-198	64	3	=	=	SYM
iajs-198	64	4	t	t	NOUN
iajs-198	64	5	+	+	CCONJ
iajs-198	64	6	n	n	CCONJ
iajs-198	64	7	and	and	CCONJ
iajs-198	64	8	so	so	ADV
iajs-198	64	9	t	t	PROPN
iajs-198	64	10	=	=	PUNCT
iajs-198	64	11	q	q	PROPN
iajs-198	65	1	+	+	NUM
iajs-198	65	2	1	1	NUM
iajs-198	65	3	–	–	PUNCT
iajs-198	65	4	n.	n.	NOUN
iajs-198	65	5	thus	thus	ADV
iajs-198	65	6	p	p	X
iajs-198	65	7	is	be	AUX
iajs-198	65	8	on	on	ADP
iajs-198	65	9	an	an	DET
iajs-198	65	10	(	(	PUNCT
iajs-198	65	11	t	t	NOUN
iajs-198	65	12	-	-	PUNCT
iajs-198	65	13	secant	secant	NOUN
iajs-198	65	14	)	)	PUNCT
iajs-198	65	15	of	of	ADP
iajs-198	65	16	b.	b.	PROPN
iajs-198	65	17	166	166	NUM
iajs-198	66	1	|	|	NOUN
iajs-198	66	2	mathematics	mathematic	NOUN
iajs-198	66	3	2015	2015	NUM
iajs-198	66	4	)	)	PUNCT
iajs-198	66	5	عام	عام	ADP
iajs-198	66	6	1العدد	1العدد	NUM
iajs-198	66	7	(	(	PUNCT
iajs-198	66	8	28مجلة	28مجلة	X
iajs-198	66	9	إبن	إبن	VERB
iajs-198	66	10	الھيثم	الھيثم	NOUN
iajs-198	66	11	للعلوم	للعلوم	NOUN
iajs-198	66	12	الصرفة	الصرفة	NOUN
iajs-198	67	1	و	و	PRON
iajs-198	67	2	التطبيقية	التطبيقية	ADV
iajs-198	67	3	المجلد	المجلد	VERB
iajs-198	67	4	ibn	ibn	PROPN
iajs-198	67	5	al	al	PROPN
iajs-198	67	6	-	-	PUNCT
iajs-198	67	7	haitham	haitham	PROPN
iajs-198	67	8	j.	j.	PROPN
iajs-198	67	9	for	for	ADP
iajs-198	67	10	pure	pure	PROPN
iajs-198	67	11	&	&	CCONJ
iajs-198	67	12	appl	appl	PROPN
iajs-198	67	13	.	.	PUNCT
iajs-198	68	1	sci	sci	PROPN
iajs-198	68	2	.	.	PUNCT
iajs-198	68	3	vol	vol	NOUN
iajs-198	68	4	.	.	PROPN
iajs-198	69	1	28	28	NUM
iajs-198	69	2	(	(	PUNCT
iajs-198	69	3	1	1	NUM
iajs-198	69	4	)	)	PUNCT
iajs-198	69	5	2015	2015	NUM
iajs-198	69	6	2the	2the	DET
iajs-198	69	7	projective	projective	ADJ
iajs-198	69	8	plane	plane	NOUN
iajs-198	69	9	pg(2,5	pg(2,5	NOUN
iajs-198	69	10	)	)	PUNCT
iajs-198	70	1	in	in	ADP
iajs-198	70	2	this	this	DET
iajs-198	70	3	paper	paper	NOUN
iajs-198	70	4	we	we	PRON
iajs-198	70	5	consider	consider	VERB
iajs-198	70	6	the	the	DET
iajs-198	70	7	case	case	NOUN
iajs-198	70	8	q	q	NOUN
iajs-198	70	9	=	=	SYM
iajs-198	70	10	5	5	NUM
iajs-198	70	11	and	and	CCONJ
iajs-198	70	12	the	the	DET
iajs-198	70	13	elements	element	NOUN
iajs-198	70	14	of	of	ADP
iajs-198	70	15	gf(5	gf(5	PROPN
iajs-198	70	16	)	)	PUNCT
iajs-198	70	17	are	be	AUX
iajs-198	70	18	denoted	denote	VERB
iajs-198	70	19	by	by	ADP
iajs-198	70	20	0,1,2,3,4	0,1,2,3,4	NOUN
iajs-198	70	21	.	.	PUNCT
iajs-198	71	1	a	a	DET
iajs-198	71	2	projective	projective	ADJ
iajs-198	71	3	plane	plane	NOUN
iajs-198	71	4			NOUN
iajs-198	71	5	=	=	PUNCT
iajs-198	71	6	pg(2,5	pg(2,5	NOUN
iajs-198	71	7	)	)	PUNCT
iajs-198	71	8	over	over	ADP
iajs-198	71	9	gf(5	gf(5	PROPN
iajs-198	71	10	)	)	PUNCT
iajs-198	71	11	consists	consist	VERB
iajs-198	71	12	of	of	ADP
iajs-198	71	13	31	31	NUM
iajs-198	71	14	points	point	NOUN
iajs-198	71	15	,	,	PUNCT
iajs-198	71	16	31	31	NUM
iajs-198	71	17	lines	line	NOUN
iajs-198	71	18	each	each	DET
iajs-198	71	19	line	line	NOUN
iajs-198	71	20	contains	contain	VERB
iajs-198	71	21	6	6	NUM
iajs-198	71	22	points	point	NOUN
iajs-198	71	23	and	and	CCONJ
iajs-198	71	24	through	through	ADP
iajs-198	71	25	every	every	DET
iajs-198	71	26	point	point	NOUN
iajs-198	71	27	there	there	PRON
iajs-198	71	28	is	be	VERB
iajs-198	71	29	6	6	NUM
iajs-198	71	30	lines	line	NOUN
iajs-198	71	31	.	.	PUNCT
iajs-198	72	1	let	let	VERB
iajs-198	72	2	pi	pi	NOUN
iajs-198	72	3	and	and	CCONJ
iajs-198	72	4	ℓi	ℓi	PROPN
iajs-198	72	5	be	be	AUX
iajs-198	72	6	the	the	DET
iajs-198	72	7	points	point	NOUN
iajs-198	72	8	and	and	CCONJ
iajs-198	72	9	lines	line	NOUN
iajs-198	72	10	of	of	ADP
iajs-198	72	11	pg(2,5	pg(2,5	NOUN
iajs-198	72	12	)	)	PUNCT
iajs-198	72	13	respectively	respectively	ADV
iajs-198	72	14	.	.	PUNCT
iajs-198	73	1	let	let	VERB
iajs-198	73	2	i	i	PRON
iajs-198	73	3	stands	stand	VERB
iajs-198	73	4	for	for	ADP
iajs-198	73	5	the	the	DET
iajs-198	73	6	point	point	NOUN
iajs-198	73	7	pi	pi	NOUN
iajs-198	73	8	,	,	PUNCT
iajs-198	73	9	i	i	PRON
iajs-198	73	10	=	=	NOUN
iajs-198	73	11	1,2,	1,2,	NUM
iajs-198	73	12	…	…	SYM
iajs-198	73	13	,31	,31	NOUN
iajs-198	73	14	.	.	PUNCT
iajs-198	74	1	the	the	DET
iajs-198	74	2	points	point	NOUN
iajs-198	74	3	and	and	CCONJ
iajs-198	74	4	lines	line	NOUN
iajs-198	74	5	of	of	ADP
iajs-198	74	6	pg(2,5	pg(2,5	NOUN
iajs-198	74	7	)	)	PUNCT
iajs-198	74	8	are	be	AUX
iajs-198	74	9	given	give	VERB
iajs-198	74	10	in	in	ADP
iajs-198	74	11	the	the	DET
iajs-198	74	12	table	table	NOUN
iajs-198	74	13	(	(	PUNCT
iajs-198	74	14	1	1	NUM
iajs-198	74	15	)	)	PUNCT
iajs-198	74	16	.	.	PUNCT
iajs-198	75	1	2.1	2.1	NUM
iajs-198	75	2	the	the	DET
iajs-198	75	3	conic	conic	NOUN
iajs-198	75	4	in	in	ADP
iajs-198	75	5	pg(2,5	pg(2,5	NOUN
iajs-198	75	6	)	)	PUNCT
iajs-198	75	7	through	through	ADP
iajs-198	75	8	the	the	DET
iajs-198	75	9	reference	reference	NOUN
iajs-198	75	10	and	and	CCONJ
iajs-198	75	11	unit	unit	NOUN
iajs-198	75	12	points	point	VERB
iajs-198	75	13	the	the	DET
iajs-198	75	14	general	general	ADJ
iajs-198	75	15	equation	equation	NOUN
iajs-198	75	16	of	of	ADP
iajs-198	75	17	the	the	DET
iajs-198	75	18	conic	conic	NOUN
iajs-198	75	19	is	be	AUX
iajs-198	75	20	:	:	PUNCT
iajs-198	75	21	2	2	NUM
iajs-198	75	22	2	2	NUM
iajs-198	75	23	2	2	NUM
iajs-198	75	24	11	11	NUM
iajs-198	75	25	1	1	NUM
iajs-198	75	26	22	22	NUM
iajs-198	75	27	2	2	NUM
iajs-198	75	28	33	33	NUM
iajs-198	75	29	3	3	NUM
iajs-198	75	30	12	12	NUM
iajs-198	75	31	1	1	NUM
iajs-198	75	32	2	2	NUM
iajs-198	75	33	13	13	NUM
iajs-198	75	34	1	1	NUM
iajs-198	75	35	3	3	NUM
iajs-198	75	36	23	23	NUM
iajs-198	75	37	2	2	NUM
iajs-198	75	38	3a	3a	NUM
iajs-198	75	39	x	x	PUNCT
iajs-198	76	1	+	+	CCONJ
iajs-198	76	2	a	a	DET
iajs-198	76	3	x	x	X
iajs-198	76	4	+	+	NUM
iajs-198	76	5	a	a	DET
iajs-198	76	6	x	x	X
iajs-198	77	1	+	+	PUNCT
iajs-198	77	2	a	a	DET
iajs-198	77	3	x	x	X
iajs-198	77	4	x	x	X
iajs-198	77	5	+	+	NUM
iajs-198	77	6	a	a	DET
iajs-198	77	7	x	x	X
iajs-198	77	8	x	x	X
iajs-198	78	1	+	+	NUM
iajs-198	78	2	a	a	DET
iajs-198	78	3	x	x	NOUN
iajs-198	78	4	x	x	SYM
iajs-198	78	5	=	=	NOUN
iajs-198	78	6	0	0	NUM
iajs-198	78	7	…	…	PUNCT
iajs-198	78	8	(	(	PUNCT
iajs-198	78	9	1	1	NUM
iajs-198	78	10	)	)	PUNCT
iajs-198	78	11	by	by	ADP
iajs-198	78	12	substituting	substitute	VERB
iajs-198	78	13	the	the	DET
iajs-198	78	14	reference	reference	NOUN
iajs-198	78	15	points	point	NOUN
iajs-198	78	16	:	:	PUNCT
iajs-198	78	17	1(1,0,0	1(1,0,0	NUM
iajs-198	78	18	)	)	PUNCT
iajs-198	78	19	,	,	PUNCT
iajs-198	78	20	2(0,1,0	2(0,1,0	NUM
iajs-198	78	21	)	)	PUNCT
iajs-198	78	22	,	,	PUNCT
iajs-198	78	23	7(0,0,1	7(0,0,1	NUM
iajs-198	78	24	)	)	PUNCT
iajs-198	78	25	and	and	CCONJ
iajs-198	78	26	the	the	DET
iajs-198	78	27	unit	unit	NOUN
iajs-198	78	28	point	point	VERB
iajs-198	78	29	13	13	NUM
iajs-198	78	30	(	(	PUNCT
iajs-198	78	31	1,1,1	1,1,1	NUM
iajs-198	78	32	)	)	PUNCT
iajs-198	78	33	,	,	PUNCT
iajs-198	78	34	which	which	PRON
iajs-198	78	35	are	be	AUX
iajs-198	78	36	four	four	NUM
iajs-198	78	37	points	point	NOUN
iajs-198	78	38	no	no	DET
iajs-198	78	39	three	three	NUM
iajs-198	78	40	of	of	ADP
iajs-198	78	41	them	they	PRON
iajs-198	78	42	are	be	AUX
iajs-198	78	43	collinear	collinear	ADJ
iajs-198	78	44	,	,	PUNCT
iajs-198	78	45	in	in	ADP
iajs-198	78	46	(	(	PUNCT
iajs-198	78	47	1	1	NUM
iajs-198	78	48	)	)	PUNCT
iajs-198	78	49	,	,	PUNCT
iajs-198	78	50	we	we	PRON
iajs-198	78	51	get	get	VERB
iajs-198	78	52	:	:	PUNCT
iajs-198	78	53	a12	a12	PROPN
iajs-198	78	54	+	+	CCONJ
iajs-198	78	55	a13	a13	PROPN
iajs-198	78	56	+	+	CCONJ
iajs-198	78	57	a23	a23	PROPN
iajs-198	78	58	=	=	SYM
iajs-198	78	59	0	0	PROPN
iajs-198	78	60	and	and	CCONJ
iajs-198	78	61	a11	a11	PROPN
iajs-198	78	62	=	=	SYM
iajs-198	78	63	a22	a22	PROPN
iajs-198	78	64	=	=	SYM
iajs-198	78	65	a33	a33	NOUN
iajs-198	78	66	=	=	SYM
iajs-198	78	67	0	0	NUM
iajs-198	78	68	,	,	PUNCT
iajs-198	78	69	so	so	CCONJ
iajs-198	78	70	(	(	PUNCT
iajs-198	78	71	1	1	X
iajs-198	78	72	)	)	PUNCT
iajs-198	78	73	becomes	become	VERB
iajs-198	78	74	:	:	PUNCT
iajs-198	78	75	12	12	NUM
iajs-198	78	76	1	1	NUM
iajs-198	78	77	2	2	NUM
iajs-198	78	78	13	13	NUM
iajs-198	78	79	1	1	NUM
iajs-198	78	80	3	3	NUM
iajs-198	78	81	23	23	NUM
iajs-198	78	82	2	2	NUM
iajs-198	78	83	3a	3a	NUM
iajs-198	78	84	x	x	SYM
iajs-198	79	1	x	x	X
iajs-198	79	2	+	+	PUNCT
iajs-198	79	3	a	a	DET
iajs-198	79	4	x	x	X
iajs-198	79	5	x	x	X
iajs-198	80	1	+	+	NUM
iajs-198	80	2	a	a	DET
iajs-198	80	3	x	x	NOUN
iajs-198	80	4	x	x	SYM
iajs-198	80	5	=	=	NOUN
iajs-198	80	6	0	0	NUM
iajs-198	80	7	…	…	PUNCT
iajs-198	80	8	(	(	PUNCT
iajs-198	80	9	2	2	NUM
iajs-198	80	10	)	)	PUNCT
iajs-198	80	11	if	if	SCONJ
iajs-198	80	12	a12	a12	NUM
iajs-198	80	13	=	=	SYM
iajs-198	80	14	0	0	NUM
iajs-198	80	15	,	,	PUNCT
iajs-198	80	16	then	then	ADV
iajs-198	80	17	the	the	DET
iajs-198	80	18	conic	conic	NOUN
iajs-198	80	19	is	be	AUX
iajs-198	80	20	degenerated	degenerated	ADJ
iajs-198	80	21	,	,	PUNCT
iajs-198	80	22	therefore	therefore	ADV
iajs-198	80	23	a12	a12	PROPN
iajs-198	80	24			PROPN
iajs-198	80	25	0	0	NUM
iajs-198	80	26	,	,	PUNCT
iajs-198	80	27	similarly	similarly	ADV
iajs-198	80	28	,	,	PUNCT
iajs-198	80	29	a13	a13	PROPN
iajs-198	80	30			NOUN
iajs-198	80	31	0	0	NUM
iajs-198	80	32	and	and	CCONJ
iajs-198	80	33	a23	a23	PROPN
iajs-198	80	34			PROPN
iajs-198	80	35	0	0	NUM
iajs-198	80	36	.	.	X
iajs-198	81	1	dividing	divide	VERB
iajs-198	81	2	equation	equation	NOUN
iajs-198	81	3	(	(	PUNCT
iajs-198	81	4	2	2	NUM
iajs-198	81	5	)	)	PUNCT
iajs-198	81	6	by	by	ADP
iajs-198	81	7	a12	a12	NOUN
iajs-198	81	8	,	,	PUNCT
iajs-198	81	9	we	we	PRON
iajs-198	81	10	get	get	VERB
iajs-198	81	11	:	:	PUNCT
iajs-198	81	12	1	1	NUM
iajs-198	81	13	2	2	NUM
iajs-198	81	14	1	1	NUM
iajs-198	81	15	3	3	NUM
iajs-198	81	16	2	2	NUM
iajs-198	81	17	3x	3x	NUM
iajs-198	81	18	x	x	PUNCT
iajs-198	82	1	+	+	CCONJ
iajs-198	82	2	αx	αx	ADV
iajs-198	82	3	x	x	X
iajs-198	83	1	+	+	NUM
iajs-198	83	2	βx	βx	X
iajs-198	83	3	x	x	SYM
iajs-198	83	4	=	=	SYM
iajs-198	83	5	0	0	NUM
iajs-198	83	6	,	,	PUNCT
iajs-198	83	7	where	where	SCONJ
iajs-198	83	8	13	13	NUM
iajs-198	83	9	23	23	NUM
iajs-198	83	10	12	12	NUM
iajs-198	83	11	12	12	NUM
iajs-198	83	12	a	a	PRON
iajs-198	83	13	a	a	DET
iajs-198	83	14	α	α	NOUN
iajs-198	83	15	=	=	PUNCT
iajs-198	83	16	,	,	PUNCT
iajs-198	83	17	β	β	X
iajs-198	83	18	=	=	PUNCT
iajs-198	83	19	a	a	DET
iajs-198	83	20	a	a	DET
iajs-198	83	21	,	,	PUNCT
iajs-198	83	22	then	then	ADV
iajs-198	83	23			PROPN
iajs-198	83	24	=	=	SYM
iajs-198	83	25	–	–	PUNCT
iajs-198	83	26	(	(	PUNCT
iajs-198	83	27	1	1	NUM
iajs-198	83	28	+	+	NUM
iajs-198	83	29			NOUN
iajs-198	83	30	)	)	PUNCT
iajs-198	83	31	since	since	SCONJ
iajs-198	83	32	1	1	NUM
iajs-198	83	33	+	+	NUM
iajs-198	83	34			NOUN
iajs-198	83	35	+	+	NOUN
iajs-198	83	36			NOUN
iajs-198	83	37	=	=	SYM
iajs-198	83	38	0	0	PUNCT
iajs-198	84	1	(	(	PUNCT
iajs-198	84	2	mod	mod	PROPN
iajs-198	84	3	5	5	NUM
iajs-198	84	4	)	)	PUNCT
iajs-198	84	5	.	.	PUNCT
iajs-198	85	1	then	then	ADV
iajs-198	85	2	x1	x1	PROPN
iajs-198	85	3	x2+α	x2+α	PROPN
iajs-198	85	4	x1x3−(1+α	x1x3−(1+α	PUNCT
iajs-198	85	5	)	)	PUNCT
iajs-198	85	6	x2x3	x2x3	PUNCT
iajs-198	86	1	=	=	NOUN
iajs-198	86	2	0	0	NUM
iajs-198	86	3	,	,	PUNCT
iajs-198	86	4	where	where	SCONJ
iajs-198	86	5			NOUN
iajs-198	86	6			NOUN
iajs-198	86	7	0	0	NUM
iajs-198	86	8	and	and	CCONJ
iajs-198	86	9			NOUN
iajs-198	86	10			NOUN
iajs-198	86	11	4	4	NUM
iajs-198	86	12	,	,	PUNCT
iajs-198	86	13	for	for	ADP
iajs-198	86	14	if	if	SCONJ
iajs-198	86	15			NOUN
iajs-198	86	16	=	=	SYM
iajs-198	86	17	0	0	NUM
iajs-198	86	18	or	or	CCONJ
iajs-198	86	19			NOUN
iajs-198	86	20	=	=	SYM
iajs-198	86	21	4	4	NUM
iajs-198	86	22	we	we	PRON
iajs-198	86	23	get	get	VERB
iajs-198	86	24	a	a	DET
iajs-198	86	25	degenerated	degenerated	ADJ
iajs-198	86	26	conic	conic	NOUN
iajs-198	86	27	,	,	PUNCT
iajs-198	86	28	that	that	ADV
iajs-198	86	29	is	is	ADV
iajs-198	86	30	,	,	PUNCT
iajs-198	86	31			X
iajs-198	86	32	=	=	NOUN
iajs-198	86	33	1,2,3	1,2,3	NUM
iajs-198	86	34	.	.	PUNCT
iajs-198	87	1	2.2	2.2	NUM
iajs-198	87	2	the	the	DET
iajs-198	87	3	equations	equation	NOUN
iajs-198	87	4	and	and	CCONJ
iajs-198	87	5	the	the	DET
iajs-198	87	6	points	point	NOUN
iajs-198	87	7	of	of	ADP
iajs-198	87	8	the	the	DET
iajs-198	87	9	conics	conic	NOUN
iajs-198	87	10	in	in	ADP
iajs-198	87	11	pg(2,5	pg(2,5	NOUN
iajs-198	87	12	)	)	PUNCT
iajs-198	87	13	through	through	ADP
iajs-198	87	14	the	the	DET
iajs-198	87	15	reference	reference	NOUN
iajs-198	87	16	and	and	CCONJ
iajs-198	87	17	unit	unit	NOUN
iajs-198	87	18	points	point	VERB
iajs-198	87	19	for	for	ADP
iajs-198	87	20	any	any	DET
iajs-198	87	21	value	value	NOUN
iajs-198	87	22	of	of	ADP
iajs-198	87	23			NOUN
iajs-198	87	24	,	,	PUNCT
iajs-198	87	25	there	there	PRON
iajs-198	87	26	is	be	VERB
iajs-198	87	27	a	a	DET
iajs-198	87	28	unique	unique	ADJ
iajs-198	87	29	conic	conic	NOUN
iajs-198	87	30	contains	contain	VERB
iajs-198	87	31	6	6	NUM
iajs-198	87	32	points	point	NOUN
iajs-198	87	33	,	,	PUNCT
iajs-198	87	34	4	4	NUM
iajs-198	87	35	of	of	ADP
iajs-198	87	36	them	they	PRON
iajs-198	87	37	are	be	AUX
iajs-198	87	38	the	the	DET
iajs-198	87	39	reference	reference	NOUN
iajs-198	87	40	and	and	CCONJ
iajs-198	87	41	unit	unit	NOUN
iajs-198	87	42	points	point	VERB
iajs-198	87	43	1	1	NUM
iajs-198	87	44	.	.	PUNCT
iajs-198	88	1	if	if	SCONJ
iajs-198	88	2			NOUN
iajs-198	88	3	=	=	SYM
iajs-198	88	4	1	1	NUM
iajs-198	88	5	,	,	PUNCT
iajs-198	88	6	then	then	ADV
iajs-198	88	7	the	the	DET
iajs-198	88	8	equation	equation	NOUN
iajs-198	88	9	of	of	ADP
iajs-198	88	10	the	the	DET
iajs-198	88	11	conic	conic	ADJ
iajs-198	88	12	c1	c1	NOUN
iajs-198	88	13	is	be	AUX
iajs-198	88	14	1	1	NUM
iajs-198	88	15	2	2	NUM
iajs-198	88	16	1	1	NUM
iajs-198	88	17	3	3	NUM
iajs-198	88	18	2	2	NUM
iajs-198	88	19	3x	3x	NUM
iajs-198	88	20	x	x	PUNCT
iajs-198	89	1	+	+	PUNCT
iajs-198	89	2	x	x	SYM
iajs-198	89	3	x	x	X
iajs-198	90	1	+	+	NUM
iajs-198	90	2	3x	3x	NUM
iajs-198	90	3	x	x	SYM
iajs-198	91	1	=	=	SYM
iajs-198	91	2	0	0	PUNCT
iajs-198	92	1	the	the	DET
iajs-198	92	2	points	point	NOUN
iajs-198	92	3	of	of	ADP
iajs-198	92	4	c1	c1	PROPN
iajs-198	92	5	are	be	AUX
iajs-198	92	6	:	:	PUNCT
iajs-198	92	7	1,2,7,13,20,26	1,2,7,13,20,26	NUM
iajs-198	92	8	.	.	NOUN
iajs-198	93	1	2	2	NUM
iajs-198	93	2	.	.	X
iajs-198	94	1	if	if	SCONJ
iajs-198	94	2			NOUN
iajs-198	94	3	=	=	SYM
iajs-198	94	4	2	2	NUM
iajs-198	94	5	,	,	PUNCT
iajs-198	94	6	then	then	ADV
iajs-198	94	7	the	the	DET
iajs-198	94	8	equation	equation	NOUN
iajs-198	94	9	of	of	ADP
iajs-198	94	10	the	the	DET
iajs-198	94	11	conic	conic	ADJ
iajs-198	94	12	c2	c2	PROPN
iajs-198	94	13	is	be	AUX
iajs-198	94	14	1	1	NUM
iajs-198	94	15	2	2	NUM
iajs-198	94	16	1	1	NUM
iajs-198	94	17	3	3	NUM
iajs-198	94	18	2	2	NUM
iajs-198	94	19	3x	3x	NUM
iajs-198	94	20	x	x	PUNCT
iajs-198	95	1	+	+	PUNCT
iajs-198	95	2	2	2	NUM
iajs-198	95	3	x	x	SYM
iajs-198	95	4	x	x	SYM
iajs-198	95	5	+	+	NOUN
iajs-198	95	6	2	2	NUM
iajs-198	95	7	x	x	SYM
iajs-198	95	8	x	x	SYM
iajs-198	96	1	=	=	SYM
iajs-198	96	2	0	0	NUM
iajs-198	96	3	the	the	DET
iajs-198	96	4	points	point	NOUN
iajs-198	96	5	of	of	ADP
iajs-198	96	6	c2	c2	PROPN
iajs-198	96	7	are	be	AUX
iajs-198	96	8	:	:	PUNCT
iajs-198	96	9	1,2,7,13,21,29	1,2,7,13,21,29	NUM
iajs-198	96	10	.	.	PUNCT
iajs-198	97	1	3	3	X
iajs-198	97	2	.	.	X
iajs-198	98	1	if	if	SCONJ
iajs-198	98	2			NOUN
iajs-198	98	3	=	=	SYM
iajs-198	98	4	3	3	NUM
iajs-198	98	5	,	,	PUNCT
iajs-198	98	6	then	then	ADV
iajs-198	98	7	the	the	DET
iajs-198	98	8	equation	equation	NOUN
iajs-198	98	9	of	of	ADP
iajs-198	98	10	the	the	DET
iajs-198	98	11	conic	conic	ADJ
iajs-198	98	12	c3	c3	NOUN
iajs-198	98	13	is	be	AUX
iajs-198	98	14	1	1	NUM
iajs-198	98	15	2	2	NUM
iajs-198	98	16	1	1	NUM
iajs-198	98	17	3	3	NUM
iajs-198	98	18	2	2	NUM
iajs-198	98	19	3x	3x	NUM
iajs-198	98	20	x	x	PUNCT
iajs-198	98	21	+3x	+3x	NUM
iajs-198	98	22	x	x	NOUN
iajs-198	99	1	+	+	PUNCT
iajs-198	99	2	x	x	SYM
iajs-198	99	3	x	x	SYM
iajs-198	99	4	=	=	SYM
iajs-198	99	5	0	0	NUM
iajs-198	99	6	the	the	DET
iajs-198	99	7	points	point	NOUN
iajs-198	99	8	of	of	ADP
iajs-198	99	9	c3	c3	PROPN
iajs-198	99	10	are	be	AUX
iajs-198	99	11	:	:	PUNCT
iajs-198	99	12	1,2,7,13,24,30	1,2,7,13,24,30	NUM
iajs-198	99	13	.	.	PUNCT
iajs-198	100	1	thus	thus	ADV
iajs-198	100	2	we	we	PRON
iajs-198	100	3	found	find	VERB
iajs-198	100	4	five	five	NUM
iajs-198	100	5	conics	conic	NOUN
iajs-198	100	6	two	two	NUM
iajs-198	100	7	of	of	ADP
iajs-198	100	8	them	they	PRON
iajs-198	100	9	are	be	AUX
iajs-198	100	10	degenerated	degenerated	ADJ
iajs-198	100	11	and	and	CCONJ
iajs-198	100	12	the	the	DET
iajs-198	100	13	remaining	remain	VERB
iajs-198	100	14	three	three	NUM
iajs-198	100	15	conics	conic	NOUN
iajs-198	100	16	c1	c1	NOUN
iajs-198	100	17	,	,	PUNCT
iajs-198	100	18	c3	c3	PROPN
iajs-198	100	19	,	,	PUNCT
iajs-198	100	20	c3	c3	PROPN
iajs-198	100	21	are	be	AUX
iajs-198	100	22	non	non	ADJ
iajs-198	100	23	-	-	ADJ
iajs-198	100	24	degenerated	degenerated	ADJ
iajs-198	100	25	.	.	PUNCT
iajs-198	101	1	table	table	NOUN
iajs-198	101	2	(	(	PUNCT
iajs-198	101	3	1	1	X
iajs-198	101	4	)	)	PUNCT
iajs-198	101	5	i	i	PRON
iajs-198	101	6	pi	pi	NOUN
iajs-198	101	7	li	li	PROPN
iajs-198	101	8	1	1	NUM
iajs-198	101	9	1	1	NUM
iajs-198	101	10	0	0	NUM
iajs-198	101	11	0	0	NUM
iajs-198	101	12	2	2	NUM
iajs-198	101	13	7	7	NUM
iajs-198	101	14	12	12	NUM
iajs-198	101	15	17	17	NUM
iajs-198	101	16	22	22	NUM
iajs-198	101	17	27	27	NUM
iajs-198	101	18	2	2	NUM
iajs-198	101	19	0	0	NUM
iajs-198	101	20	1	1	NUM
iajs-198	101	21	0	0	NUM
iajs-198	101	22	1	1	NUM
iajs-198	101	23	7	7	NUM
iajs-198	101	24	8	8	NUM
iajs-198	101	25	9	9	NUM
iajs-198	101	26	10	10	NUM
iajs-198	101	27	11	11	NUM
iajs-198	101	28	3	3	NUM
iajs-198	101	29	1	1	NUM
iajs-198	101	30	1	1	NUM
iajs-198	101	31	0	0	NUM
iajs-198	101	32	6	6	NUM
iajs-198	101	33	7	7	NUM
iajs-198	101	34	16	16	NUM
iajs-198	101	35	20	20	NUM
iajs-198	101	36	24	24	NUM
iajs-198	101	37	28	28	NUM
iajs-198	101	38	4	4	NUM
iajs-198	101	39	2	2	NUM
iajs-198	101	40	1	1	NUM
iajs-198	101	41	0	0	NUM
iajs-198	101	42	4	4	NUM
iajs-198	101	43	7	7	NUM
iajs-198	101	44	14	14	NUM
iajs-198	101	45	21	21	NUM
iajs-198	101	46	23	23	NUM
iajs-198	101	47	30	30	NUM
iajs-198	101	48	5	5	NUM
iajs-198	101	49	3	3	NUM
iajs-198	101	50	1	1	NUM
iajs-198	101	51	0	0	NUM
iajs-198	101	52	5	5	NUM
iajs-198	101	53	7	7	NUM
iajs-198	101	54	15	15	NUM
iajs-198	101	55	18	18	NUM
iajs-198	101	56	26	26	NUM
iajs-198	101	57	29	29	NUM
iajs-198	101	58	6	6	NUM
iajs-198	101	59	4	4	NUM
iajs-198	101	60	1	1	NUM
iajs-198	101	61	0	0	NUM
iajs-198	101	62	3	3	NUM
iajs-198	101	63	7	7	NUM
iajs-198	101	64	13	13	NUM
iajs-198	101	65	19	19	NUM
iajs-198	101	66	25	25	NUM
iajs-198	101	67	31	31	NUM
iajs-198	101	68	7	7	NUM
iajs-198	101	69	0	0	NUM
iajs-198	101	70	0	0	NUM
iajs-198	101	71	1	1	NUM
iajs-198	101	72	1	1	NUM
iajs-198	101	73	2	2	NUM
iajs-198	101	74	3	3	NUM
iajs-198	101	75	4	4	NUM
iajs-198	101	76	5	5	NUM
iajs-198	101	77	6	6	NUM
iajs-198	101	78	8	8	NUM
iajs-198	101	79	1	1	NUM
iajs-198	101	80	0	0	NUM
iajs-198	101	81	1	1	NUM
iajs-198	101	82	2	2	NUM
iajs-198	101	83	11	11	NUM
iajs-198	101	84	16	16	NUM
iajs-198	101	85	21	21	NUM
iajs-198	101	86	26	26	NUM
iajs-198	101	87	31	31	NUM
iajs-198	101	88	167	167	NUM
iajs-198	101	89	|	|	NOUN
iajs-198	101	90	mathematics	mathematic	NOUN
iajs-198	101	91	2015	2015	NUM
iajs-198	101	92	)	)	PUNCT
iajs-198	101	93	عام	عام	ADP
iajs-198	101	94	1العدد	1العدد	NUM
iajs-198	101	95	(	(	PUNCT
iajs-198	101	96	28مجلة	28مجلة	X
iajs-198	101	97	إبن	إبن	VERB
iajs-198	101	98	الھيثم	الھيثم	NOUN
iajs-198	101	99	للعلوم	للعلوم	NOUN
iajs-198	101	100	الصرفة	الصرفة	NOUN
iajs-198	102	1	و	و	PRON
iajs-198	102	2	التطبيقية	التطبيقية	ADV
iajs-198	102	3	المجلد	المجلد	VERB
iajs-198	102	4	ibn	ibn	PROPN
iajs-198	102	5	al	al	PROPN
iajs-198	102	6	-	-	PUNCT
iajs-198	102	7	haitham	haitham	PROPN
iajs-198	102	8	j.	j.	PROPN
iajs-198	102	9	for	for	ADP
iajs-198	102	10	pure	pure	PROPN
iajs-198	102	11	&	&	CCONJ
iajs-198	102	12	appl	appl	PROPN
iajs-198	102	13	.	.	PUNCT
iajs-198	103	1	sci	sci	PROPN
iajs-198	103	2	.	.	PUNCT
iajs-198	103	3	vol	vol	NOUN
iajs-198	103	4	.	.	PROPN
iajs-198	104	1	28	28	NUM
iajs-198	104	2	(	(	PUNCT
iajs-198	104	3	1	1	NUM
iajs-198	104	4	)	)	PUNCT
iajs-198	104	5	2015	2015	NUM
iajs-198	104	6	9	9	NUM
iajs-198	104	7	2	2	NUM
iajs-198	104	8	0	0	NUM
iajs-198	104	9	1	1	NUM
iajs-198	104	10	2	2	NUM
iajs-198	104	11	9	9	NUM
iajs-198	104	12	14	14	NUM
iajs-198	104	13	19	19	NUM
iajs-198	104	14	24	24	NUM
iajs-198	104	15	29	29	NUM
iajs-198	104	16	10	10	NUM
iajs-198	104	17	3	3	NUM
iajs-198	104	18	0	0	NUM
iajs-198	104	19	1	1	NUM
iajs-198	104	20	2	2	NUM
iajs-198	104	21	10	10	NUM
iajs-198	104	22	15	15	NUM
iajs-198	104	23	20	20	NUM
iajs-198	104	24	25	25	NUM
iajs-198	104	25	30	30	NUM
iajs-198	104	26	11	11	NUM
iajs-198	104	27	4	4	NUM
iajs-198	104	28	0	0	NUM
iajs-198	104	29	1	1	NUM
iajs-198	104	30	2	2	NUM
iajs-198	104	31	8	8	NUM
iajs-198	104	32	13	13	NUM
iajs-198	104	33	18	18	NUM
iajs-198	104	34	23	23	NUM
iajs-198	104	35	28	28	NUM
iajs-198	104	36	12	12	NUM
iajs-198	104	37	0	0	NUM
iajs-198	104	38	1	1	NUM
iajs-198	104	39	1	1	NUM
iajs-198	104	40	1	1	NUM
iajs-198	104	41	27	27	NUM
iajs-198	104	42	28	28	NUM
iajs-198	104	43	29	29	NUM
iajs-198	104	44	30	30	NUM
iajs-198	104	45	31	31	NUM
iajs-198	104	46	13	13	NUM
iajs-198	104	47	1	1	NUM
iajs-198	104	48	1	1	NUM
iajs-198	104	49	1	1	NUM
iajs-198	104	50	6	6	NUM
iajs-198	104	51	11	11	NUM
iajs-198	104	52	15	15	NUM
iajs-198	104	53	19	19	NUM
iajs-198	104	54	23	23	NUM
iajs-198	104	55	27	27	NUM
iajs-198	104	56	14	14	NUM
iajs-198	104	57	2	2	NUM
iajs-198	104	58	1	1	NUM
iajs-198	104	59	1	1	NUM
iajs-198	104	60	4	4	NUM
iajs-198	104	61	9	9	NUM
iajs-198	104	62	16	16	NUM
iajs-198	104	63	18	18	NUM
iajs-198	104	64	25	25	NUM
iajs-198	104	65	27	27	NUM
iajs-198	104	66	15	15	NUM
iajs-198	104	67	3	3	NUM
iajs-198	104	68	1	1	NUM
iajs-198	104	69	1	1	NUM
iajs-198	104	70	5	5	NUM
iajs-198	104	71	10	10	NUM
iajs-198	104	72	13	13	NUM
iajs-198	104	73	21	21	NUM
iajs-198	104	74	24	24	NUM
iajs-198	104	75	27	27	NUM
iajs-198	104	76	16	16	NUM
iajs-198	104	77	4	4	NUM
iajs-198	104	78	1	1	NUM
iajs-198	104	79	1	1	NUM
iajs-198	104	80	3	3	NUM
iajs-198	104	81	8	8	NUM
iajs-198	104	82	14	14	NUM
iajs-198	104	83	20	20	NUM
iajs-198	104	84	26	26	NUM
iajs-198	104	85	27	27	NUM
iajs-198	104	86	17	17	NUM
iajs-198	104	87	0	0	NUM
iajs-198	104	88	2	2	NUM
iajs-198	104	89	1	1	NUM
iajs-198	104	90	1	1	NUM
iajs-198	104	91	17	17	NUM
iajs-198	104	92	18	18	NUM
iajs-198	104	93	19	19	NUM
iajs-198	104	94	20	20	NUM
iajs-198	104	95	21	21	NUM
iajs-198	104	96	18	18	NUM
iajs-198	104	97	1	1	NUM
iajs-198	104	98	2	2	NUM
iajs-198	104	99	1	1	NUM
iajs-198	104	100	5	5	NUM
iajs-198	104	101	11	11	NUM
iajs-198	104	102	14	14	NUM
iajs-198	104	103	17	17	NUM
iajs-198	104	104	25	25	NUM
iajs-198	104	105	28	28	NUM
iajs-198	104	106	19	19	NUM
iajs-198	104	107	2	2	NUM
iajs-198	104	108	2	2	NUM
iajs-198	104	109	1	1	NUM
iajs-198	104	110	6	6	NUM
iajs-198	104	111	9	9	NUM
iajs-198	104	112	13	13	NUM
iajs-198	104	113	17	17	NUM
iajs-198	104	114	26	26	NUM
iajs-198	104	115	30	30	NUM
iajs-198	104	116	20	20	NUM
iajs-198	104	117	3	3	NUM
iajs-198	104	118	2	2	NUM
iajs-198	104	119	1	1	NUM
iajs-198	104	120	3	3	NUM
iajs-198	104	121	10	10	NUM
iajs-198	104	122	16	16	NUM
iajs-198	104	123	17	17	NUM
iajs-198	104	124	23	23	NUM
iajs-198	104	125	29	29	NUM
iajs-198	104	126	21	21	NUM
iajs-198	104	127	4	4	NUM
iajs-198	104	128	2	2	NUM
iajs-198	104	129	1	1	NUM
iajs-198	104	130	4	4	NUM
iajs-198	104	131	8	8	NUM
iajs-198	104	132	15	15	NUM
iajs-198	104	133	17	17	NUM
iajs-198	104	134	24	24	NUM
iajs-198	104	135	31	31	NUM
iajs-198	104	136	22	22	NUM
iajs-198	104	137	0	0	NUM
iajs-198	104	138	3	3	NUM
iajs-198	104	139	1	1	NUM
iajs-198	104	140	1	1	NUM
iajs-198	104	141	22	22	NUM
iajs-198	104	142	23	23	NUM
iajs-198	104	143	24	24	NUM
iajs-198	104	144	25	25	NUM
iajs-198	104	145	26	26	NUM
iajs-198	104	146	23	23	NUM
iajs-198	104	147	1	1	NUM
iajs-198	104	148	3	3	NUM
iajs-198	104	149	1	1	NUM
iajs-198	104	150	4	4	NUM
iajs-198	104	151	11	11	NUM
iajs-198	104	152	13	13	NUM
iajs-198	104	153	20	20	NUM
iajs-198	104	154	22	22	NUM
iajs-198	104	155	29	29	NUM
iajs-198	104	156	24	24	NUM
iajs-198	104	157	2	2	NUM
iajs-198	104	158	3	3	NUM
iajs-198	104	159	1	1	NUM
iajs-198	104	160	3	3	NUM
iajs-198	104	161	9	9	NUM
iajs-198	104	162	15	15	NUM
iajs-198	104	163	21	21	NUM
iajs-198	104	164	22	22	NUM
iajs-198	104	165	28	28	NUM
iajs-198	104	166	25	25	NUM
iajs-198	104	167	3	3	NUM
iajs-198	104	168	3	3	NUM
iajs-198	104	169	1	1	NUM
iajs-198	104	170	6	6	NUM
iajs-198	104	171	10	10	NUM
iajs-198	104	172	14	14	NUM
iajs-198	104	173	18	18	NUM
iajs-198	104	174	22	22	NUM
iajs-198	104	175	31	31	NUM
iajs-198	104	176	26	26	NUM
iajs-198	104	177	4	4	NUM
iajs-198	104	178	3	3	NUM
iajs-198	104	179	1	1	NUM
iajs-198	104	180	5	5	NUM
iajs-198	104	181	8	8	NUM
iajs-198	104	182	16	16	NUM
iajs-198	104	183	19	19	NUM
iajs-198	104	184	22	22	NUM
iajs-198	104	185	30	30	NUM
iajs-198	104	186	27	27	NUM
iajs-198	104	187	0	0	NUM
iajs-198	104	188	4	4	NUM
iajs-198	104	189	1	1	NUM
iajs-198	104	190	1	1	NUM
iajs-198	104	191	12	12	NUM
iajs-198	104	192	13	13	NUM
iajs-198	104	193	14	14	NUM
iajs-198	104	194	15	15	NUM
iajs-198	104	195	16	16	NUM
iajs-198	104	196	28	28	NUM
iajs-198	104	197	1	1	NUM
iajs-198	104	198	4	4	NUM
iajs-198	104	199	1	1	NUM
iajs-198	104	200	3	3	NUM
iajs-198	104	201	11	11	NUM
iajs-198	104	202	12	12	NUM
iajs-198	104	203	18	18	NUM
iajs-198	104	204	24	24	NUM
iajs-198	104	205	30	30	NUM
iajs-198	104	206	29	29	NUM
iajs-198	104	207	2	2	NUM
iajs-198	104	208	4	4	NUM
iajs-198	104	209	1	1	NUM
iajs-198	104	210	5	5	NUM
iajs-198	104	211	9	9	NUM
iajs-198	104	212	12	12	NUM
iajs-198	104	213	20	20	NUM
iajs-198	104	214	23	23	NUM
iajs-198	104	215	31	31	NUM
iajs-198	104	216	30	30	NUM
iajs-198	104	217	3	3	NUM
iajs-198	104	218	4	4	NUM
iajs-198	104	219	1	1	NUM
iajs-198	104	220	4	4	NUM
iajs-198	104	221	10	10	NUM
iajs-198	104	222	12	12	NUM
iajs-198	104	223	19	19	NUM
iajs-198	104	224	26	26	NUM
iajs-198	104	225	28	28	NUM
iajs-198	104	226	31	31	NUM
iajs-198	104	227	4	4	NUM
iajs-198	104	228	4	4	NUM
iajs-198	104	229	1	1	NUM
iajs-198	104	230	6	6	NUM
iajs-198	104	231	8	8	NUM
iajs-198	104	232	12	12	NUM
iajs-198	104	233	21	21	NUM
iajs-198	104	234	25	25	NUM
iajs-198	104	235	29	29	NUM
iajs-198	104	236	2.3	2.3	NUM
iajs-198	104	237	the	the	DET
iajs-198	104	238	construction	construction	NOUN
iajs-198	104	239	of	of	ADP
iajs-198	104	240	minimal	minimal	ADJ
iajs-198	104	241	(	(	PUNCT
iajs-198	104	242	b	b	NOUN
iajs-198	104	243	,	,	PUNCT
iajs-198	104	244	t)-blocking	t)-blocking	NOUN
iajs-198	104	245	sets	set	NOUN
iajs-198	104	246	by	by	ADP
iajs-198	104	247	using	use	VERB
iajs-198	104	248	conic	conic	ADJ
iajs-198	104	249	-	-	PUNCT
iajs-198	104	250	type	type	NOUN
iajs-198	104	251	blocking	blocking	NOUN
iajs-198	104	252	sets	set	NOUN
iajs-198	104	253	we	we	PRON
iajs-198	104	254	construct	construct	VERB
iajs-198	104	255	minimal	minimal	ADJ
iajs-198	104	256	(	(	PUNCT
iajs-198	104	257	b	b	NOUN
iajs-198	104	258	,	,	PUNCT
iajs-198	104	259	t)-blocking	t)-blocke	VERB
iajs-198	104	260	set	set	VERB
iajs-198	104	261	in	in	ADP
iajs-198	104	262	pg(2,5	pg(2,5	NOUN
iajs-198	104	263	)	)	PUNCT
iajs-198	104	264	from	from	ADP
iajs-198	104	265	the	the	DET
iajs-198	104	266	minimal	minimal	ADJ
iajs-198	104	267	blocking	blocking	NOUN
iajs-198	104	268	(	(	PUNCT
iajs-198	104	269	9,1)-sets	9,1)-sets	NUM
iajs-198	104	270	of	of	ADP
iajs-198	104	271	lemma	lemma	PROPN
iajs-198	104	272	(	(	PUNCT
iajs-198	104	273	1.15	1.15	NUM
iajs-198	104	274	)	)	PUNCT
iajs-198	104	275	by	by	ADP
iajs-198	104	276	using	use	VERB
iajs-198	104	277	conic	conic	ADJ
iajs-198	104	278	.	.	PUNCT
iajs-198	105	1	2.3.1	2.3.1	NUM
iajs-198	105	2	the	the	DET
iajs-198	105	3	construction	construction	NOUN
iajs-198	105	4	of	of	ADP
iajs-198	105	5	minimal	minimal	ADJ
iajs-198	105	6	(	(	PUNCT
iajs-198	105	7	9,1)-blocking	9,1)-blocking	NUM
iajs-198	105	8	set	set	VERB
iajs-198	105	9	by	by	ADP
iajs-198	105	10	lemma	lemma	PROPN
iajs-198	105	11	(	(	PUNCT
iajs-198	105	12	1.11	1.11	NUM
iajs-198	105	13	)	)	PUNCT
iajs-198	105	14	we	we	PRON
iajs-198	105	15	take	take	VERB
iajs-198	105	16	the	the	DET
iajs-198	105	17	conic	conic	ADJ
iajs-198	105	18	c1	c1	NOUN
iajs-198	105	19	in	in	ADP
iajs-198	105	20	section	section	NOUN
iajs-198	105	21	2	2	NUM
iajs-198	105	22	.	.	PUNCT
iajs-198	106	1	let	let	VERB
iajs-198	106	2	1	1	NOUN
iajs-198	106	3	=	=	PROPN
iajs-198	106	4	c1	c1	PROPN
iajs-198	106	5			PROPN
iajs-198	106	6	l1	l1	PROPN
iajs-198	106	7	\	\	PROPN
iajs-198	106	8	{	{	PUNCT
iajs-198	106	9	p1,p2	p1,p2	PROPN
iajs-198	106	10	}	}	PUNCT
iajs-198	106	11			NOUN
iajs-198	106	12	{	{	PUNCT
iajs-198	106	13	p	p	NOUN
iajs-198	106	14	}	}	PUNCT
iajs-198	106	15	,	,	PUNCT
iajs-198	106	16	c1	c1	PROPN
iajs-198	106	17	=	=	PROPN
iajs-198	106	18	{	{	PUNCT
iajs-198	106	19	1,2,7,13,20,26	1,2,7,13,20,26	NOUN
iajs-198	106	20	}	}	PUNCT
iajs-198	106	21	,	,	PUNCT
iajs-198	106	22	l1	l1	PROPN
iajs-198	106	23	=	=	PUNCT
iajs-198	106	24	{	{	PUNCT
iajs-198	106	25	2,7,12,17,22,27	2,7,12,17,22,27	NUM
iajs-198	106	26	}	}	PUNCT
iajs-198	106	27	,	,	PUNCT
iajs-198	106	28	c1	c1	PROPN
iajs-198	106	29			PUNCT
iajs-198	106	30	l1	l1	PROPN
iajs-198	106	31	=	=	PUNCT
iajs-198	106	32	{	{	PUNCT
iajs-198	106	33	2,7	2,7	NUM
iajs-198	106	34	}	}	PUNCT
iajs-198	106	35	,	,	PUNCT
iajs-198	106	36	l4	l4	PROPN
iajs-198	106	37	and	and	CCONJ
iajs-198	106	38	l9	l9	PROPN
iajs-198	106	39	are	be	AUX
iajs-198	106	40	the	the	DET
iajs-198	106	41	two	two	NUM
iajs-198	106	42	tangents	tangent	NOUN
iajs-198	106	43	to	to	ADP
iajs-198	106	44	c1	c1	PROPN
iajs-198	106	45	at	at	ADP
iajs-198	106	46	the	the	DET
iajs-198	106	47	points	point	NOUN
iajs-198	106	48	7	7	NUM
iajs-198	106	49	and	and	CCONJ
iajs-198	106	50	2	2	NUM
iajs-198	106	51	respectively	respectively	ADV
iajs-198	106	52	.	.	PUNCT
iajs-198	107	1	l4	l4	PROPN
iajs-198	107	2			NOUN
iajs-198	107	3	l9	l9	PROPN
iajs-198	107	4	=	=	SYM
iajs-198	107	5	{	{	PUNCT
iajs-198	107	6	14	14	NUM
iajs-198	107	7	}	}	PUNCT
iajs-198	107	8	,	,	PUNCT
iajs-198	107	9	then	then	ADV
iajs-198	107	10	1	1	NOUN
iajs-198	107	11	=	=	PUNCT
iajs-198	107	12	{	{	PUNCT
iajs-198	107	13	1,12,13,14,17,20,22,26,27	1,12,13,14,17,20,22,26,27	NUM
iajs-198	107	14	}	}	PUNCT
iajs-198	107	15	,	,	PUNCT
iajs-198	107	16	1	1	NOUN
iajs-198	107	17	is	be	AUX
iajs-198	107	18	a	a	DET
iajs-198	107	19	(	(	PUNCT
iajs-198	107	20	9,1)-blocking	9,1)-blocking	NUM
iajs-198	107	21	set	set	NOUN
iajs-198	107	22	in	in	ADP
iajs-198	107	23	pg(2,5	pg(2,5	NOUN
iajs-198	107	24	)	)	PUNCT
iajs-198	107	25	.	.	PUNCT
iajs-198	108	1	since	since	SCONJ
iajs-198	108	2	each	each	DET
iajs-198	108	3	point	point	NOUN
iajs-198	108	4	of	of	ADP
iajs-198	108	5	1	1	NOUN
iajs-198	108	6	is	be	AUX
iajs-198	108	7	on	on	ADP
iajs-198	108	8	line	line	NOUN
iajs-198	108	9	ℓ	ℓ	PROPN
iajs-198	108	10	in	in	ADP
iajs-198	108	11	pg(2,9	pg(2,9	NOUN
iajs-198	108	12	)	)	PUNCT
iajs-198	108	13	such	such	ADJ
iajs-198	108	14	that	that	DET
iajs-198	108	15	1	1	NOUN
iajs-198	108	16			PUNCT
iajs-198	108	17	ℓ	ℓ	X
iajs-198	108	18	=	=	PUNCT
iajs-198	108	19	{	{	PUNCT
iajs-198	108	20	p	p	X
iajs-198	108	21	}	}	PUNCT
iajs-198	108	22	(	(	PUNCT
iajs-198	108	23	lemma	lemma	PROPN
iajs-198	108	24	1.7	1.7	NUM
iajs-198	108	25	)	)	PUNCT
iajs-198	108	26	,	,	PUNCT
iajs-198	108	27	1	1	NOUN
iajs-198	108	28	satisfies	satisfy	VERB
iajs-198	108	29	the	the	DET
iajs-198	108	30	following	follow	VERB
iajs-198	108	31	conditions	condition	NOUN
iajs-198	108	32	:	:	PUNCT
iajs-198	108	33	(	(	PUNCT
iajs-198	108	34	a	a	X
iajs-198	108	35	)	)	PUNCT
iajs-198	108	36	1	1	NOUN
iajs-198	108	37	intersects	intersect	NOUN
iajs-198	108	38	every	every	DET
iajs-198	108	39	line	line	NOUN
iajs-198	108	40	in	in	ADP
iajs-198	108	41	pg(2,5	pg(2,5	ADJ
iajs-198	108	42	)	)	PUNCT
iajs-198	108	43	in	in	ADP
iajs-198	108	44	at	at	ADV
iajs-198	108	45	least	least	ADV
iajs-198	108	46	one	one	NUM
iajs-198	108	47	point	point	NOUN
iajs-198	108	48	.	.	PUNCT
iajs-198	109	1	(	(	PUNCT
iajs-198	109	2	b	b	X
iajs-198	109	3	)	)	PUNCT
iajs-198	109	4	every	every	DET
iajs-198	109	5	point	point	NOUN
iajs-198	109	6	in	in	ADP
iajs-198	109	7	1	1	NOUN
iajs-198	109	8	,	,	PUNCT
iajs-198	109	9	there	there	PRON
iajs-198	109	10	is	be	VERB
iajs-198	109	11	a	a	DET
iajs-198	109	12	line	line	NOUN
iajs-198	109	13	ℓ	ℓ	NOUN
iajs-198	109	14	in	in	ADP
iajs-198	109	15	pg(2,5	pg(2,5	NOUN
iajs-198	109	16	)	)	PUNCT
iajs-198	109	17	such	such	ADJ
iajs-198	109	18	that	that	DET
iajs-198	109	19	1	1	NOUN
iajs-198	109	20			PUNCT
iajs-198	109	21	ℓ	ℓ	X
iajs-198	109	22	=	=	PUNCT
iajs-198	109	23	{	{	PUNCT
iajs-198	109	24	p	p	X
iajs-198	109	25	}	}	PUNCT
iajs-198	109	26	.	.	PUNCT
iajs-198	110	1	the	the	DET
iajs-198	110	2	complement	complement	NOUN
iajs-198	110	3	of	of	ADP
iajs-198	110	4	1	1	NOUN
iajs-198	110	5	is	be	AUX
iajs-198	110	6	the	the	DET
iajs-198	110	7	complete	complete	ADJ
iajs-198	110	8	(	(	PUNCT
iajs-198	110	9	22,5)-arc	22,5)-arc	NUM
iajs-198	110	10	k5	k5	NOUN
iajs-198	110	11	,	,	PUNCT
iajs-198	110	12	by	by	ADP
iajs-198	110	13	theorem	theorem	NOUN
iajs-198	110	14	(	(	PUNCT
iajs-198	110	15	1.13	1.13	NUM
iajs-198	110	16	)	)	PUNCT
iajs-198	110	17	there	there	PRON
iajs-198	110	18	exists	exist	VERB
iajs-198	110	19	a	a	DET
iajs-198	110	20	projective	projective	NOUN
iajs-198	110	21	[	[	X
iajs-198	110	22	22,3,17	22,3,17	NOUN
iajs-198	110	23	]	]	X
iajs-198	110	24	code	code	NOUN
iajs-198	110	25	.	.	PUNCT
iajs-198	111	1	2.3.2	2.3.2	NUM
iajs-198	111	2	the	the	DET
iajs-198	111	3	construction	construction	NOUN
iajs-198	111	4	of	of	ADP
iajs-198	111	5	minimal	minimal	ADJ
iajs-198	111	6	(	(	PUNCT
iajs-198	111	7	b,2)-blocking	b,2)-blocke	VERB
iajs-198	111	8	set	set	VERB
iajs-198	111	9	in	in	ADP
iajs-198	111	10	pg(2,5	pg(2,5	NOUN
iajs-198	111	11	)	)	PUNCT
iajs-198	111	12	we	we	PRON
iajs-198	111	13	construct	construct	VERB
iajs-198	111	14	two	two	NUM
iajs-198	111	15	(	(	PUNCT
iajs-198	111	16	9,1)-blocking	9,1)-blocking	NUM
iajs-198	111	17	sets	set	NOUN
iajs-198	111	18	.	.	PUNCT
iajs-198	112	1	let	let	VERB
iajs-198	112	2	1	1	NOUN
iajs-198	112	3	=	=	PUNCT
iajs-198	112	4	{	{	PUNCT
iajs-198	112	5	1,12,13,14,17,20,22,26,27	1,12,13,14,17,20,22,26,27	NUM
iajs-198	112	6	}	}	PUNCT
iajs-198	112	7	be	be	AUX
iajs-198	112	8	the	the	DET
iajs-198	112	9	minimal	minimal	ADJ
iajs-198	112	10	(	(	PUNCT
iajs-198	112	11	9,1)-blocking	9,1)-blocking	NUM
iajs-198	112	12	set	set	NOUN
iajs-198	112	13	of	of	ADP
iajs-198	112	14	section	section	NOUN
iajs-198	112	15	(	(	PUNCT
iajs-198	112	16	2.3.1	2.3.1	NUM
iajs-198	112	17	)	)	PUNCT
iajs-198	112	18	.	.	PUNCT
iajs-198	113	1	we	we	PRON
iajs-198	113	2	construct	construct	VERB
iajs-198	113	3	another	another	PRON
iajs-198	113	4	(	(	PUNCT
iajs-198	113	5	9,1)-blocking	9,1)-blocking	NUM
iajs-198	113	6	set	set	NOUN
iajs-198	113	7	1	1	PUNCT
iajs-198	113	8	=	=	SYM
iajs-198	113	9	c2	c2	PROPN
iajs-198	113	10			PROPN
iajs-198	113	11	l8	l8	PROPN
iajs-198	113	12	\	\	PROPN
iajs-198	114	1	{	{	PUNCT
iajs-198	114	2	c2	c2	PROPN
iajs-198	114	3			PUNCT
iajs-198	114	4	l8	l8	PROPN
iajs-198	114	5	}	}	PUNCT
iajs-198	114	6			NOUN
iajs-198	114	7	{	{	PUNCT
iajs-198	114	8	15	15	NUM
iajs-198	114	9	}	}	PUNCT
iajs-198	114	10	,	,	PUNCT
iajs-198	114	11	where	where	SCONJ
iajs-198	114	12	c2	c2	PROPN
iajs-198	114	13	=	=	PUNCT
iajs-198	114	14	{	{	PUNCT
iajs-198	114	15	1,2,7,13,21,29	1,2,7,13,21,29	NUM
iajs-198	114	16	}	}	PUNCT
iajs-198	114	17	,	,	PUNCT
iajs-198	114	18	l8	l8	PROPN
iajs-198	114	19	=	=	PUNCT
iajs-198	114	20	{	{	PUNCT
iajs-198	114	21	2,11,16,21,26,31	2,11,16,21,26,31	NUM
iajs-198	114	22	}	}	PUNCT
iajs-198	114	23	,	,	PUNCT
iajs-198	114	24	c2	c2	PROPN
iajs-198	114	25			PUNCT
iajs-198	114	26	l8	l8	PROPN
iajs-198	114	27	=	=	PUNCT
iajs-198	114	28	{	{	PUNCT
iajs-198	114	29	2,21	2,21	NUM
iajs-198	114	30	}	}	PUNCT
iajs-198	114	31	,	,	PUNCT
iajs-198	114	32	l10	l10	PROPN
iajs-198	114	33			PUNCT
iajs-198	114	34	l24	l24	PROPN
iajs-198	114	35	=	=	PUNCT
iajs-198	114	36	{	{	PUNCT
iajs-198	114	37	15	15	NUM
iajs-198	114	38	}	}	PUNCT
iajs-198	114	39	and	and	CCONJ
iajs-198	114	40	l10	l10	PROPN
iajs-198	114	41	and	and	CCONJ
iajs-198	114	42	l24	l24	PROPN
iajs-198	114	43	are	be	AUX
iajs-198	114	44	tangents	tangent	NOUN
iajs-198	114	45	to	to	ADP
iajs-198	114	46	c2	c2	PROPN
iajs-198	114	47	at	at	ADP
iajs-198	114	48	the	the	DET
iajs-198	114	49	points	point	NOUN
iajs-198	114	50	2	2	NUM
iajs-198	114	51	and	and	CCONJ
iajs-198	114	52	21	21	NUM
iajs-198	114	53	respectively	respectively	ADV
iajs-198	114	54	.	.	PUNCT
iajs-198	115	1	1	1	PUNCT
iajs-198	115	2	=	=	SYM
iajs-198	115	3	{	{	PUNCT
iajs-198	115	4	1,7,11,13,15,16,26,29,31	1,7,11,13,15,16,26,29,31	NUM
iajs-198	115	5	}	}	PUNCT
iajs-198	115	6	is	be	AUX
iajs-198	115	7	(	(	PUNCT
iajs-198	115	8	9,1)-blocking	9,1)-blocking	NUM
iajs-198	115	9	set	set	NOUN
iajs-198	115	10	.	.	PUNCT
iajs-198	116	1	now	now	ADV
iajs-198	116	2	,	,	PUNCT
iajs-198	116	3	we	we	PRON
iajs-198	116	4	construct	construct	VERB
iajs-198	116	5	(	(	PUNCT
iajs-198	116	6	b,2)-blocking	b,2)-blocke	VERB
iajs-198	116	7	set	set	VERB
iajs-198	116	8	as	as	SCONJ
iajs-198	116	9	follows	follow	VERB
iajs-198	116	10	:	:	PUNCT
iajs-198	116	11	168	168	NUM
iajs-198	116	12	|	|	NOUN
iajs-198	116	13	mathematics	mathematic	NOUN
iajs-198	116	14	2015	2015	NUM
iajs-198	116	15	)	)	PUNCT
iajs-198	116	16	عام	عام	ADP
iajs-198	116	17	1العدد	1العدد	NUM
iajs-198	116	18	(	(	PUNCT
iajs-198	116	19	28مجلة	28مجلة	X
iajs-198	116	20	إبن	إبن	VERB
iajs-198	116	21	الھيثم	الھيثم	NOUN
iajs-198	116	22	للعلوم	للعلوم	NOUN
iajs-198	116	23	الصرفة	الصرفة	NOUN
iajs-198	117	1	و	و	PRON
iajs-198	117	2	التطبيقية	التطبيقية	ADV
iajs-198	117	3	المجلد	المجلد	VERB
iajs-198	117	4	ibn	ibn	PROPN
iajs-198	117	5	al	al	PROPN
iajs-198	117	6	-	-	PUNCT
iajs-198	117	7	haitham	haitham	PROPN
iajs-198	117	8	j.	j.	PROPN
iajs-198	117	9	for	for	ADP
iajs-198	117	10	pure	pure	PROPN
iajs-198	117	11	&	&	CCONJ
iajs-198	117	12	appl	appl	PROPN
iajs-198	117	13	.	.	PUNCT
iajs-198	118	1	sci	sci	PROPN
iajs-198	118	2	.	.	PUNCT
iajs-198	118	3	vol	vol	NOUN
iajs-198	118	4	.	.	PROPN
iajs-198	119	1	28	28	NUM
iajs-198	119	2	(	(	PUNCT
iajs-198	119	3	1	1	NUM
iajs-198	119	4	)	)	PUNCT
iajs-198	119	5	2015	2015	NUM
iajs-198	119	6	let	let	VERB
iajs-198	119	7	a	a	DET
iajs-198	119	8	=	=	SYM
iajs-198	119	9	1	1	PROPN
iajs-198	119	10			NOUN
iajs-198	119	11	1	1	NOUN
iajs-198	119	12	=	=	PUNCT
iajs-198	119	13	{	{	PUNCT
iajs-198	119	14	1,7,11,12,13,14,15,16,17,20,22,26,27,29,31	1,7,11,12,13,14,15,16,17,20,22,26,27,29,31	NUM
iajs-198	119	15	}	}	PUNCT
iajs-198	119	16	.	.	PUNCT
iajs-198	120	1	a	a	PRON
iajs-198	120	2	must	must	AUX
iajs-198	120	3	satisfies	satisfy	VERB
iajs-198	120	4	the	the	DET
iajs-198	120	5	following	follow	VERB
iajs-198	120	6	conditions	condition	NOUN
iajs-198	120	7	:	:	PUNCT
iajs-198	120	8	(	(	PUNCT
iajs-198	120	9	a	a	X
iajs-198	120	10	)	)	PUNCT
iajs-198	120	11	a	a	DET
iajs-198	120	12	intersects	intersect	NOUN
iajs-198	120	13	every	every	DET
iajs-198	120	14	line	line	NOUN
iajs-198	120	15	of	of	ADP
iajs-198	120	16	pg(2,5	pg(2,5	NOUN
iajs-198	120	17	)	)	PUNCT
iajs-198	120	18	in	in	ADP
iajs-198	120	19	at	at	ADV
iajs-198	120	20	least	least	ADV
iajs-198	120	21	two	two	NUM
iajs-198	120	22	points	point	NOUN
iajs-198	120	23	.	.	PUNCT
iajs-198	121	1	(	(	PUNCT
iajs-198	121	2	b	b	X
iajs-198	121	3	)	)	PUNCT
iajs-198	121	4	every	every	DET
iajs-198	121	5	point	point	NOUN
iajs-198	121	6	in	in	ADP
iajs-198	121	7	a	a	PRON
iajs-198	121	8	is	be	AUX
iajs-198	121	9	on	on	ADP
iajs-198	121	10	at	at	ADV
iajs-198	121	11	least	least	ADV
iajs-198	121	12	one	one	NUM
iajs-198	121	13	2	2	NUM
iajs-198	121	14	-	-	PUNCT
iajs-198	121	15	secant	secant	NOUN
iajs-198	121	16	of	of	ADP
iajs-198	121	17	a.	a.	NOUN
iajs-198	121	18	we	we	PRON
iajs-198	121	19	add	add	VERB
iajs-198	121	20	three	three	NUM
iajs-198	121	21	points	point	NOUN
iajs-198	121	22	3,10	3,10	NUM
iajs-198	121	23	and	and	CCONJ
iajs-198	121	24	18	18	NUM
iajs-198	121	25	to	to	ADP
iajs-198	121	26	a	a	PRON
iajs-198	121	27	and	and	CCONJ
iajs-198	121	28	eliminate	eliminate	VERB
iajs-198	121	29	the	the	DET
iajs-198	121	30	points	point	NOUN
iajs-198	121	31	15	15	NUM
iajs-198	121	32	and	and	CCONJ
iajs-198	121	33	26	26	NUM
iajs-198	121	34	from	from	ADP
iajs-198	121	35	a	a	PRON
iajs-198	121	36	to	to	PART
iajs-198	121	37	satisfy	satisfy	VERB
iajs-198	121	38	these	these	DET
iajs-198	121	39	conditions	condition	NOUN
iajs-198	121	40	,	,	PUNCT
iajs-198	121	41	then	then	ADV
iajs-198	121	42	:	:	PUNCT
iajs-198	121	43	2	2	NOUN
iajs-198	121	44	=	=	PUNCT
iajs-198	121	45	a{3,10,18}\	a{3,10,18}\	PROPN
iajs-198	121	46	{	{	PUNCT
iajs-198	121	47	15,26	15,26	NOUN
iajs-198	121	48	}	}	PUNCT
iajs-198	121	49	=	=	SYM
iajs-198	121	50	{	{	PUNCT
iajs-198	121	51	1,3,7,10,11,12,13,14,16,17,18,20,22,27,29,31	1,3,7,10,11,12,13,14,16,17,18,20,22,27,29,31	NOUN
iajs-198	121	52	}	}	PUNCT
iajs-198	121	53	is	be	AUX
iajs-198	121	54	a	a	DET
iajs-198	121	55	minimal	minimal	ADJ
iajs-198	121	56	(	(	PUNCT
iajs-198	121	57	16,2)-blocking	16,2)-blocking	NOUN
iajs-198	121	58	set	set	NOUN
iajs-198	121	59	.	.	PUNCT
iajs-198	122	1	the	the	DET
iajs-198	122	2	complement	complement	NOUN
iajs-198	122	3	of	of	ADP
iajs-198	122	4	2	2	NOUN
iajs-198	122	5	is	be	AUX
iajs-198	122	6	the	the	DET
iajs-198	122	7	complete	complete	ADJ
iajs-198	122	8	(	(	PUNCT
iajs-198	122	9	15,4)-arc	15,4)-arc	NUM
iajs-198	122	10	k4	k4	NOUN
iajs-198	122	11	.	.	PUNCT
iajs-198	123	1	by	by	ADP
iajs-198	123	2	theorem	theorem	NOUN
iajs-198	123	3	(	(	PUNCT
iajs-198	123	4	1.13	1.13	NUM
iajs-198	123	5	)	)	PUNCT
iajs-198	123	6	there	there	PRON
iajs-198	123	7	exists	exist	VERB
iajs-198	123	8	a	a	DET
iajs-198	123	9	projective	projective	NOUN
iajs-198	123	10	[	[	X
iajs-198	123	11	15,3,11	15,3,11	X
iajs-198	123	12	]	]	X
iajs-198	123	13	code	code	NOUN
iajs-198	123	14	.	.	PUNCT
iajs-198	124	1	2.3.3	2.3.3	NUM
iajs-198	124	2	the	the	DET
iajs-198	124	3	construction	construction	NOUN
iajs-198	124	4	of	of	ADP
iajs-198	124	5	minimal	minimal	ADJ
iajs-198	124	6	(	(	PUNCT
iajs-198	124	7	b,3)-blocking	b,3)-blocking	NOUN
iajs-198	124	8	set	set	VERB
iajs-198	124	9	in	in	ADP
iajs-198	124	10	pg(2,5	pg(2,5	NOUN
iajs-198	124	11	)	)	PUNCT
iajs-198	124	12	we	we	PRON
iajs-198	124	13	take	take	VERB
iajs-198	124	14	the	the	DET
iajs-198	124	15	(	(	PUNCT
iajs-198	124	16	9,1)-blocking	9,1)-blocking	NUM
iajs-198	124	17	sets	set	NOUN
iajs-198	124	18	in	in	ADP
iajs-198	124	19	section	section	NOUN
iajs-198	124	20	(	(	PUNCT
iajs-198	124	21	2.3.2	2.3.2	NUM
iajs-198	124	22	)	)	PUNCT
iajs-198	124	23	1	1	PUNCT
iajs-198	125	1	=	=	SYM
iajs-198	125	2	{	{	PUNCT
iajs-198	125	3	1,7,11,13,15,16,26,29,31	1,7,11,13,15,16,26,29,31	NUM
iajs-198	125	4	}	}	PUNCT
iajs-198	125	5	,	,	PUNCT
iajs-198	125	6	1	1	NOUN
iajs-198	125	7	=	=	PUNCT
iajs-198	125	8	{	{	PUNCT
iajs-198	125	9	1,12,13,14,17,20,22,26,27	1,12,13,14,17,20,22,26,27	NUM
iajs-198	125	10	}	}	PUNCT
iajs-198	125	11	,	,	PUNCT
iajs-198	125	12	let	let	VERB
iajs-198	125	13	1	1	VERB
iajs-198	125	14	=	=	SYM
iajs-198	125	15	c3	c3	PROPN
iajs-198	125	16			PROPN
iajs-198	125	17	l28	l28	PROPN
iajs-198	125	18			PROPN
iajs-198	125	19	{	{	PUNCT
iajs-198	125	20	8	8	NUM
iajs-198	125	21	}	}	PUNCT
iajs-198	125	22	\	\	NOUN
iajs-198	125	23	{	{	PUNCT
iajs-198	125	24	c3	c3	PROPN
iajs-198	125	25			PUNCT
iajs-198	125	26	l28	l28	NOUN
iajs-198	125	27	}	}	PUNCT
iajs-198	125	28	,	,	PUNCT
iajs-198	125	29	c3	c3	PROPN
iajs-198	125	30	=	=	PROPN
iajs-198	125	31	{	{	PUNCT
iajs-198	125	32	1,2,7,13,24,30	1,2,7,13,24,30	NUM
iajs-198	125	33	}	}	PUNCT
iajs-198	125	34	,	,	PUNCT
iajs-198	125	35	l28	l28	NOUN
iajs-198	125	36	=	=	SYM
iajs-198	125	37	{	{	PUNCT
iajs-198	125	38	3,11,12,18,24,30	3,11,12,18,24,30	PROPN
iajs-198	125	39	}	}	PUNCT
iajs-198	125	40	,	,	PUNCT
iajs-198	125	41	c3	c3	X
iajs-198	125	42			PUNCT
iajs-198	125	43	l28	l28	NOUN
iajs-198	125	44	=	=	SYM
iajs-198	125	45	{	{	PUNCT
iajs-198	125	46	24,30	24,30	NOUN
iajs-198	125	47	}	}	PUNCT
iajs-198	125	48	and	and	CCONJ
iajs-198	125	49	l21	l21	NOUN
iajs-198	125	50			PUNCT
iajs-198	125	51	l26	l26	NOUN
iajs-198	125	52	=	=	PUNCT
iajs-198	125	53	{	{	PUNCT
iajs-198	125	54	8	8	NUM
iajs-198	125	55	}	}	PUNCT
iajs-198	125	56	,	,	PUNCT
iajs-198	125	57	where	where	SCONJ
iajs-198	125	58	l21	l21	NOUN
iajs-198	125	59	and	and	CCONJ
iajs-198	125	60	l26	l26	NOUN
iajs-198	125	61	are	be	AUX
iajs-198	125	62	tangents	tangent	NOUN
iajs-198	125	63	to	to	ADP
iajs-198	125	64	c3	c3	PROPN
iajs-198	125	65	at	at	ADP
iajs-198	125	66	the	the	DET
iajs-198	125	67	points	point	NOUN
iajs-198	125	68	24	24	NUM
iajs-198	125	69	and	and	CCONJ
iajs-198	125	70	30	30	NUM
iajs-198	125	71	respectively	respectively	ADV
iajs-198	125	72	.	.	PUNCT
iajs-198	126	1	1	1	PROPN
iajs-198	126	2	=	=	SYM
iajs-198	126	3	{	{	PUNCT
iajs-198	126	4	1,2,3,7,8,11,12,13,18	1,2,3,7,8,11,12,13,18	NUM
iajs-198	126	5	}	}	PUNCT
iajs-198	126	6	is	be	AUX
iajs-198	126	7	a	a	DET
iajs-198	126	8	minimal	minimal	ADJ
iajs-198	126	9	(	(	PUNCT
iajs-198	126	10	9,1)-blocking	9,1)-blocking	NUM
iajs-198	126	11	set	set	NOUN
iajs-198	126	12	.	.	PUNCT
iajs-198	127	1	we	we	PRON
iajs-198	127	2	must	must	AUX
iajs-198	127	3	construct	construct	VERB
iajs-198	127	4	a	a	DET
iajs-198	127	5	minimal	minimal	ADJ
iajs-198	127	6	(	(	PUNCT
iajs-198	127	7	b,3)-blocking	b,3)-blocking	NOUN
iajs-198	127	8	set	set	VERB
iajs-198	127	9	from	from	ADP
iajs-198	127	10	1	1	NOUN
iajs-198	127	11	,	,	PUNCT
iajs-198	127	12	1	1	NOUN
iajs-198	127	13	and	and	CCONJ
iajs-198	127	14	1	1	VERB
iajs-198	127	15	as	as	SCONJ
iajs-198	127	16	follows	follow	VERB
iajs-198	127	17	:	:	PUNCT
iajs-198	127	18	.	.	PUNCT
iajs-198	128	1	let	let	VERB
iajs-198	128	2	b=	b=	NOUN
iajs-198	128	3	1	1	PROPN
iajs-198	128	4			NOUN
iajs-198	128	5	1	1	NOUN
iajs-198	128	6			NOUN
iajs-198	128	7	1	1	ADP
iajs-198	128	8	=	=	NOUN
iajs-198	128	9	{	{	PUNCT
iajs-198	128	10	1,2,3,7,8,11,12,13,14,15,16,17,18,20,22,26,27,29,31	1,2,3,7,8,11,12,13,14,15,16,17,18,20,22,26,27,29,31	NUM
iajs-198	128	11	}	}	PUNCT
iajs-198	128	12	.	.	PUNCT
iajs-198	129	1	b	b	NOUN
iajs-198	129	2	must	must	AUX
iajs-198	129	3	satisfy	satisfy	VERB
iajs-198	129	4	the	the	DET
iajs-198	129	5	following	follow	VERB
iajs-198	129	6	conditions	condition	NOUN
iajs-198	129	7	:	:	PUNCT
iajs-198	129	8	(	(	PUNCT
iajs-198	129	9	a	a	X
iajs-198	129	10	)	)	PUNCT
iajs-198	129	11	b	b	NOUN
iajs-198	129	12	intersects	intersect	NOUN
iajs-198	129	13	every	every	DET
iajs-198	129	14	line	line	NOUN
iajs-198	129	15	in	in	ADP
iajs-198	129	16	pg(2,5	pg(2,5	ADJ
iajs-198	129	17	)	)	PUNCT
iajs-198	129	18	in	in	ADP
iajs-198	129	19	at	at	ADV
iajs-198	129	20	least	least	ADV
iajs-198	129	21	three	three	NUM
iajs-198	129	22	points	point	NOUN
iajs-198	129	23	.	.	PUNCT
iajs-198	130	1	(	(	PUNCT
iajs-198	130	2	b	b	X
iajs-198	130	3	)	)	PUNCT
iajs-198	130	4	every	every	DET
iajs-198	130	5	point	point	NOUN
iajs-198	130	6	in	in	ADP
iajs-198	130	7	b	b	NOUN
iajs-198	130	8	is	be	AUX
iajs-198	130	9	on	on	ADP
iajs-198	130	10	at	at	ADV
iajs-198	130	11	least	least	ADV
iajs-198	130	12	one	one	NUM
iajs-198	130	13	3	3	NUM
iajs-198	130	14	-	-	PUNCT
iajs-198	130	15	secant	secant	NOUN
iajs-198	130	16	of	of	ADP
iajs-198	130	17	b.	b.	PROPN
iajs-198	130	18	we	we	PRON
iajs-198	130	19	add	add	VERB
iajs-198	130	20	two	two	NUM
iajs-198	130	21	points	point	NOUN
iajs-198	130	22	4	4	NUM
iajs-198	130	23	and	and	CCONJ
iajs-198	130	24	5	5	NUM
iajs-198	130	25	to	to	PART
iajs-198	130	26	b	b	NOUN
iajs-198	130	27	and	and	CCONJ
iajs-198	130	28	eliminate	eliminate	VERB
iajs-198	130	29	the	the	DET
iajs-198	130	30	point	point	NOUN
iajs-198	130	31	31	31	NUM
iajs-198	130	32	from	from	ADP
iajs-198	130	33	b	b	NOUN
iajs-198	130	34	to	to	PART
iajs-198	130	35	satisfy	satisfy	VERB
iajs-198	130	36	these	these	DET
iajs-198	130	37	conditions	condition	NOUN
iajs-198	130	38	,	,	PUNCT
iajs-198	130	39	then	then	ADV
iajs-198	130	40	:	:	PUNCT
iajs-198	130	41	3	3	NOUN
iajs-198	130	42	=	=	SYM
iajs-198	130	43	b{4,5}\	b{4,5}\	PROPN
iajs-198	130	44	{	{	PUNCT
iajs-198	130	45	31	31	NUM
iajs-198	130	46	}	}	PUNCT
iajs-198	130	47	=	=	PUNCT
iajs-198	130	48	{	{	PUNCT
iajs-198	130	49	1,2,3,4,5,7,8,11,12,13,14,15,16,17,18,20,22,26,27,29	1,2,3,4,5,7,8,11,12,13,14,15,16,17,18,20,22,26,27,29	NUM
iajs-198	130	50	}	}	PUNCT
iajs-198	130	51	is	be	AUX
iajs-198	130	52	a	a	DET
iajs-198	130	53	minimal	minimal	ADJ
iajs-198	130	54	(	(	PUNCT
iajs-198	130	55	20,3)-blocking	20,3)-blocking	NUM
iajs-198	130	56	set	set	NOUN
iajs-198	130	57	which	which	PRON
iajs-198	130	58	is	be	AUX
iajs-198	130	59	trivial	trivial	ADJ
iajs-198	130	60	since	since	SCONJ
iajs-198	130	61	3	3	NOUN
iajs-198	130	62	contains	contain	VERB
iajs-198	130	63	some	some	DET
iajs-198	130	64	lines	line	NOUN
iajs-198	130	65	completely	completely	ADV
iajs-198	130	66	.	.	PUNCT
iajs-198	131	1	the	the	DET
iajs-198	131	2	complement	complement	NOUN
iajs-198	131	3	of	of	ADP
iajs-198	131	4	3	3	NOUN
iajs-198	131	5	is	be	AUX
iajs-198	131	6	the	the	DET
iajs-198	131	7	complete	complete	ADJ
iajs-198	131	8	(	(	PUNCT
iajs-198	131	9	11,3)-arc	11,3)-arc	NUM
iajs-198	131	10	k3	k3	PROPN
iajs-198	131	11	.	.	PUNCT
iajs-198	132	1	by	by	ADP
iajs-198	132	2	theorem	theorem	NOUN
iajs-198	132	3	(	(	PUNCT
iajs-198	132	4	1.13	1.13	NUM
iajs-198	132	5	)	)	PUNCT
iajs-198	132	6	there	there	PRON
iajs-198	132	7	exists	exist	VERB
iajs-198	132	8	a	a	DET
iajs-198	132	9	projective	projective	NOUN
iajs-198	132	10	[	[	X
iajs-198	132	11	11,3,8	11,3,8	X
iajs-198	132	12	]	]	X
iajs-198	132	13	code	code	NOUN
iajs-198	132	14	in	in	ADP
iajs-198	132	15	pg(2,5	pg(2,5	NOUN
iajs-198	132	16	)	)	PUNCT
iajs-198	132	17	.	.	PUNCT
iajs-198	133	1	2.3.4	2.3.4	NUM
iajs-198	133	2	the	the	DET
iajs-198	133	3	construction	construction	NOUN
iajs-198	133	4	of	of	ADP
iajs-198	133	5	minimal	minimal	ADJ
iajs-198	133	6	(	(	PUNCT
iajs-198	133	7	b,4)-blocking	b,4)-blocke	VERB
iajs-198	133	8	set	set	VERB
iajs-198	133	9	in	in	ADP
iajs-198	133	10	pg(2,5	pg(2,5	NOUN
iajs-198	133	11	)	)	PUNCT
iajs-198	134	1	we	we	PRON
iajs-198	134	2	take	take	VERB
iajs-198	134	3	three	three	NUM
iajs-198	134	4	minimal	minimal	ADJ
iajs-198	134	5	(	(	PUNCT
iajs-198	134	6	9,1)-blocking	9,1)-blocking	NUM
iajs-198	134	7	sets	set	NOUN
iajs-198	134	8	in	in	ADP
iajs-198	134	9	section	section	NOUN
iajs-198	134	10	(	(	PUNCT
iajs-198	134	11	2.3.3	2.3.3	NUM
iajs-198	134	12	)	)	PUNCT
iajs-198	134	13	which	which	PRON
iajs-198	134	14	are	be	AUX
iajs-198	134	15	:	:	PUNCT
iajs-198	134	16	1	1	SYM
iajs-198	134	17	=	=	SYM
iajs-198	134	18	{	{	PUNCT
iajs-198	134	19	1,7,11,13,15,16,26,29,31	1,7,11,13,15,16,26,29,31	NUM
iajs-198	134	20	}	}	PUNCT
iajs-198	134	21	,	,	PUNCT
iajs-198	134	22	1	1	NOUN
iajs-198	134	23	=	=	PUNCT
iajs-198	134	24	{	{	PUNCT
iajs-198	134	25	1,12,13,14,17,20,22,26,27	1,12,13,14,17,20,22,26,27	NUM
iajs-198	134	26	}	}	PUNCT
iajs-198	134	27	,	,	PUNCT
iajs-198	134	28	1	1	ADV
iajs-198	134	29	=	=	PUNCT
iajs-198	134	30	{	{	PUNCT
iajs-198	134	31	1,2,3,7,8,11,12,13,18	1,2,3,7,8,11,12,13,18	NUM
iajs-198	134	32	}	}	PUNCT
iajs-198	134	33	.	.	PUNCT
iajs-198	135	1	let	let	VERB
iajs-198	135	2	1	1	PUNCT
iajs-198	135	3	=	=	PROPN
iajs-198	135	4	c1	c1	PROPN
iajs-198	135	5			NOUN
iajs-198	135	6	l2{30}\	l2{30}\	X
iajs-198	135	7	{	{	PUNCT
iajs-198	135	8	c1	c1	PROPN
iajs-198	135	9			PUNCT
iajs-198	135	10	l2	l2	NOUN
iajs-198	135	11	}	}	PUNCT
iajs-198	135	12	,	,	PUNCT
iajs-198	135	13	where	where	SCONJ
iajs-198	135	14	c1	c1	PROPN
iajs-198	135	15	is	be	AUX
iajs-198	135	16	the	the	DET
iajs-198	135	17	conic	conic	ADJ
iajs-198	135	18	c1	c1	NOUN
iajs-198	135	19	=	=	SYM
iajs-198	135	20	{	{	PUNCT
iajs-198	135	21	1,2,7,13,20,26	1,2,7,13,20,26	NOUN
iajs-198	135	22	}	}	PUNCT
iajs-198	135	23	,	,	PUNCT
iajs-198	135	24	l2	l2	NOUN
iajs-198	135	25	=	=	SYM
iajs-198	135	26	{	{	PUNCT
iajs-198	135	27	1,7,8,9,10,11	1,7,8,9,10,11	NUM
iajs-198	135	28	}	}	PUNCT
iajs-198	135	29	,	,	PUNCT
iajs-198	135	30	c1	c1	NOUN
iajs-198	135	31			PUNCT
iajs-198	135	32	l2	l2	NOUN
iajs-198	135	33	=	=	SYM
iajs-198	135	34	{	{	PUNCT
iajs-198	135	35	1,7	1,7	NUM
iajs-198	135	36	}	}	PUNCT
iajs-198	135	37	,	,	PUNCT
iajs-198	135	38	l4	l4	PROPN
iajs-198	135	39			PUNCT
iajs-198	135	40	l12	l12	NOUN
iajs-198	135	41	=	=	SYM
iajs-198	135	42	{	{	PUNCT
iajs-198	135	43	30	30	NUM
iajs-198	135	44	}	}	PUNCT
iajs-198	135	45	,	,	PUNCT
iajs-198	135	46	l4	l4	PROPN
iajs-198	135	47	and	and	CCONJ
iajs-198	135	48	l12	l12	NOUN
iajs-198	135	49	are	be	AUX
iajs-198	135	50	tangents	tangent	NOUN
iajs-198	135	51	to	to	ADP
iajs-198	135	52	c1	c1	PROPN
iajs-198	135	53	at	at	ADP
iajs-198	135	54	the	the	DET
iajs-198	135	55	points	point	NOUN
iajs-198	135	56	7	7	NUM
iajs-198	135	57	and	and	CCONJ
iajs-198	135	58	1	1	NUM
iajs-198	135	59	respectively	respectively	ADV
iajs-198	135	60	,	,	PUNCT
iajs-198	135	61	then	then	ADV
iajs-198	135	62	.	.	PUNCT
iajs-198	136	1	1	1	PUNCT
iajs-198	136	2	=	=	SYM
iajs-198	136	3	{	{	PUNCT
iajs-198	136	4	2,8,9,10,11,13,20,26,30	2,8,9,10,11,13,20,26,30	NUM
iajs-198	136	5	}	}	PUNCT
iajs-198	136	6	is	be	AUX
iajs-198	136	7	a	a	DET
iajs-198	136	8	minimal	minimal	ADJ
iajs-198	136	9	(	(	PUNCT
iajs-198	136	10	9,1)-blocking	9,1)-blocking	NUM
iajs-198	136	11	set	set	NOUN
iajs-198	136	12	.	.	PUNCT
iajs-198	137	1	we	we	PRON
iajs-198	137	2	construct	construct	VERB
iajs-198	137	3	a	a	DET
iajs-198	137	4	minimal	minimal	ADJ
iajs-198	137	5	(	(	PUNCT
iajs-198	137	6	b,4)-blocking	b,4)-blocke	VERB
iajs-198	137	7	set	set	VERB
iajs-198	137	8	from	from	ADP
iajs-198	137	9	1	1	NOUN
iajs-198	137	10	,	,	PUNCT
iajs-198	137	11	1	1	NOUN
iajs-198	137	12	,	,	PUNCT
iajs-198	137	13			NUM
iajs-198	137	14	1	1	NUM
iajs-198	137	15	and	and	CCONJ
iajs-198	137	16	1	1	PUNCT
iajs-198	137	17	as	as	SCONJ
iajs-198	137	18	follows	follow	VERB
iajs-198	137	19	:	:	PUNCT
iajs-198	137	20	.	.	PUNCT
iajs-198	138	1	let	let	VERB
iajs-198	138	2	c	c	NOUN
iajs-198	138	3	=	=	SYM
iajs-198	138	4	1	1	PROPN
iajs-198	138	5			NOUN
iajs-198	138	6	1	1	NOUN
iajs-198	138	7			PROPN
iajs-198	138	8	1	1	PROPN
iajs-198	138	9			NOUN
iajs-198	139	1	1	1	VERB
iajs-198	139	2	=	=	SYM
iajs-198	139	3	{	{	PUNCT
iajs-198	139	4	1,2,3,7,	1,2,3,7,	NUM
iajs-198	139	5	…	…	PUNCT
iajs-198	139	6	,14,15,16,17,18,20,22	,14,15,16,17,18,20,22	NUM
iajs-198	139	7	,	,	PUNCT
iajs-198	139	8	26,27,29,30,31	26,27,29,30,31	NUM
iajs-198	139	9	}	}	PUNCT
iajs-198	139	10	.	.	PUNCT
iajs-198	140	1	c	c	NOUN
iajs-198	140	2	must	must	AUX
iajs-198	140	3	satisfy	satisfy	VERB
iajs-198	140	4	the	the	DET
iajs-198	140	5	following	follow	VERB
iajs-198	140	6	conditions	condition	NOUN
iajs-198	140	7	:	:	PUNCT
iajs-198	140	8	(	(	PUNCT
iajs-198	140	9	a	a	X
iajs-198	140	10	)	)	PUNCT
iajs-198	140	11	c	c	NOUN
iajs-198	140	12	intersects	intersect	VERB
iajs-198	140	13	every	every	DET
iajs-198	140	14	line	line	NOUN
iajs-198	140	15	in	in	ADP
iajs-198	140	16	at	at	ADV
iajs-198	140	17	least	least	ADV
iajs-198	140	18	four	four	NUM
iajs-198	140	19	points	point	NOUN
iajs-198	140	20	.	.	PUNCT
iajs-198	141	1	(	(	PUNCT
iajs-198	141	2	b	b	X
iajs-198	141	3	)	)	PUNCT
iajs-198	141	4	every	every	DET
iajs-198	141	5	point	point	NOUN
iajs-198	141	6	in	in	ADP
iajs-198	141	7	c	c	NOUN
iajs-198	141	8	is	be	AUX
iajs-198	141	9	on	on	ADP
iajs-198	141	10	at	at	ADV
iajs-198	141	11	least	least	ADV
iajs-198	141	12	one	one	NUM
iajs-198	141	13	4	4	NUM
iajs-198	141	14	-	-	PUNCT
iajs-198	141	15	secant	secant	NOUN
iajs-198	141	16	of	of	ADP
iajs-198	141	17	c.	c.	NOUN
iajs-198	141	18	we	we	PRON
iajs-198	141	19	add	add	VERB
iajs-198	141	20	the	the	DET
iajs-198	141	21	points	point	NOUN
iajs-198	141	22	6,45,21,24,28	6,45,21,24,28	NUM
iajs-198	141	23	to	to	ADP
iajs-198	141	24	c	c	NOUN
iajs-198	141	25	,	,	PUNCT
iajs-198	141	26	and	and	CCONJ
iajs-198	141	27	eliminate	eliminate	VERB
iajs-198	141	28	one	one	NUM
iajs-198	141	29	point	point	NOUN
iajs-198	141	30	29	29	NUM
iajs-198	141	31	from	from	ADP
iajs-198	141	32	c	c	NOUN
iajs-198	141	33	to	to	PART
iajs-198	141	34	satisfy	satisfy	VERB
iajs-198	141	35	these	these	DET
iajs-198	141	36	conditions	condition	NOUN
iajs-198	141	37	,	,	PUNCT
iajs-198	141	38	then	then	ADV
iajs-198	141	39	:	:	PUNCT
iajs-198	141	40	4	4	ADJ
iajs-198	141	41	=	=	SYM
iajs-198	141	42	c{6,21,24,28}\{29}={1,2,3,6,7,	c{6,21,24,28}\{29}={1,2,3,6,7,	NOUN
iajs-198	141	43	…	…	PUNCT
iajs-198	141	44	,18,20,21,22,24,26,27,28,30,31	,18,20,21,22,24,26,27,28,30,31	PUNCT
iajs-198	141	45	}	}	PUNCT
iajs-198	141	46	is	be	AUX
iajs-198	141	47	a	a	DET
iajs-198	141	48	minimal	minimal	ADJ
iajs-198	141	49	(	(	PUNCT
iajs-198	141	50	25,4)blocking	25,4)blocking	NOUN
iajs-198	141	51	set	set	NOUN
iajs-198	141	52	which	which	PRON
iajs-198	141	53	is	be	AUX
iajs-198	141	54	trivial	trivial	ADJ
iajs-198	141	55	since	since	SCONJ
iajs-198	141	56	4	4	NOUN
iajs-198	141	57	contains	contain	VERB
iajs-198	141	58	some	some	DET
iajs-198	141	59	lines	line	NOUN
iajs-198	141	60	completely	completely	ADV
iajs-198	141	61	.	.	PUNCT
iajs-198	142	1	the	the	DET
iajs-198	142	2	complement	complement	NOUN
iajs-198	142	3	of	of	ADP
iajs-198	142	4	4	4	NOUN
iajs-198	142	5	is	be	AUX
iajs-198	142	6	the	the	DET
iajs-198	142	7	complete	complete	ADJ
iajs-198	142	8	(	(	PUNCT
iajs-198	142	9	6,2)-arc	6,2)-arc	NUM
iajs-198	142	10	k2	k2	NOUN
iajs-198	142	11	.	.	PUNCT
iajs-198	143	1	by	by	ADP
iajs-198	143	2	theorem	theorem	NOUN
iajs-198	143	3	(	(	PUNCT
iajs-198	143	4	1.13	1.13	NUM
iajs-198	143	5	)	)	PUNCT
iajs-198	143	6	there	there	PRON
iajs-198	143	7	exists	exist	VERB
iajs-198	143	8	a	a	DET
iajs-198	143	9	projective	projective	NOUN
iajs-198	143	10	[	[	X
iajs-198	143	11	6,3,4	6,3,4	NUM
iajs-198	143	12	]	]	X
iajs-198	143	13	code	code	NOUN
iajs-198	143	14	.	.	PUNCT
iajs-198	144	1	2.3.5	2.3.5	NUM
iajs-198	144	2	the	the	DET
iajs-198	144	3	construction	construction	NOUN
iajs-198	144	4	of	of	ADP
iajs-198	144	5	minimal	minimal	ADJ
iajs-198	144	6	(	(	PUNCT
iajs-198	144	7	b,5)-blocking	b,5)-blocke	VERB
iajs-198	144	8	set	set	NOUN
iajs-198	144	9	in	in	ADP
iajs-198	144	10	pg(2,5	pg(2,5	NOUN
iajs-198	144	11	)	)	PUNCT
iajs-198	144	12	we	we	PRON
iajs-198	144	13	take	take	VERB
iajs-198	144	14	four	four	NUM
iajs-198	144	15	minimal	minimal	ADJ
iajs-198	144	16	(	(	PUNCT
iajs-198	144	17	9,1)-blocking	9,1)-blocking	NUM
iajs-198	144	18	sets	set	NOUN
iajs-198	144	19	of	of	ADP
iajs-198	144	20	section	section	NOUN
iajs-198	144	21	(	(	PUNCT
iajs-198	144	22	2.3.4	2.3.4	NOUN
iajs-198	144	23	)	)	PUNCT
iajs-198	144	24	which	which	PRON
iajs-198	144	25	are	be	AUX
iajs-198	144	26	1	1	PUNCT
iajs-198	144	27	=	=	SYM
iajs-198	144	28	{	{	PUNCT
iajs-198	144	29	1,7,11,13,15,16,26,29,31	1,7,11,13,15,16,26,29,31	NUM
iajs-198	144	30	}	}	PUNCT
iajs-198	144	31	,	,	PUNCT
iajs-198	144	32	1	1	NOUN
iajs-198	144	33	=	=	PUNCT
iajs-198	144	34	{	{	PUNCT
iajs-198	144	35	1,12,13,14,17,20,22,26,27	1,12,13,14,17,20,22,26,27	NUM
iajs-198	144	36	}	}	PUNCT
iajs-198	144	37	,	,	PUNCT
iajs-198	144	38	1	1	ADV
iajs-198	144	39	=	=	SYM
iajs-198	144	40	{	{	PUNCT
iajs-198	144	41	1,2,3,7,8,11,12,13,18	1,2,3,7,8,11,12,13,18	NUM
iajs-198	144	42	}	}	PUNCT
iajs-198	144	43	,	,	PUNCT
iajs-198	144	44	1	1	PUNCT
iajs-198	144	45	=	=	SYM
iajs-198	144	46	{	{	PUNCT
iajs-198	144	47	2,8,9,10,11,13,20,26,30	2,8,9,10,11,13,20,26,30	NUM
iajs-198	144	48	}	}	PUNCT
iajs-198	144	49	.	.	PUNCT
iajs-198	145	1	we	we	PRON
iajs-198	145	2	construct	construct	VERB
iajs-198	145	3	another	another	DET
iajs-198	145	4	minimal	minimal	ADJ
iajs-198	145	5	(	(	PUNCT
iajs-198	145	6	9,1)-blocking	9,1)-blocking	NUM
iajs-198	145	7	set	set	NOUN
iajs-198	145	8	.	.	PUNCT
iajs-198	146	1	169	169	NUM
iajs-198	146	2	|	|	NOUN
iajs-198	146	3	mathematics	mathematic	NOUN
iajs-198	146	4	2015	2015	NUM
iajs-198	146	5	)	)	PUNCT
iajs-198	146	6	عام	عام	ADP
iajs-198	146	7	1العدد	1العدد	NUM
iajs-198	146	8	(	(	PUNCT
iajs-198	146	9	28مجلة	28مجلة	X
iajs-198	146	10	إبن	إبن	VERB
iajs-198	146	11	الھيثم	الھيثم	NOUN
iajs-198	146	12	للعلوم	للعلوم	NOUN
iajs-198	146	13	الصرفة	الصرفة	NOUN
iajs-198	147	1	و	و	PRON
iajs-198	147	2	التطبيقية	التطبيقية	ADV
iajs-198	147	3	المجلد	المجلد	VERB
iajs-198	147	4	ibn	ibn	PROPN
iajs-198	147	5	al	al	PROPN
iajs-198	147	6	-	-	PUNCT
iajs-198	147	7	haitham	haitham	PROPN
iajs-198	147	8	j.	j.	PROPN
iajs-198	147	9	for	for	ADP
iajs-198	147	10	pure	pure	PROPN
iajs-198	147	11	&	&	CCONJ
iajs-198	147	12	appl	appl	PROPN
iajs-198	147	13	.	.	PUNCT
iajs-198	148	1	sci	sci	PROPN
iajs-198	148	2	.	.	PUNCT
iajs-198	148	3	vol	vol	NOUN
iajs-198	148	4	.	.	PROPN
iajs-198	149	1	28	28	NUM
iajs-198	149	2	(	(	PUNCT
iajs-198	149	3	1	1	NUM
iajs-198	149	4	)	)	PUNCT
iajs-198	149	5	2015	2015	NUM
iajs-198	149	6	let	let	VERB
iajs-198	149	7	1	1	NOUN
iajs-198	149	8	=	=	PROPN
iajs-198	149	9	c2	c2	PROPN
iajs-198	149	10			PROPN
iajs-198	149	11	l6	l6	PROPN
iajs-198	149	12	\	\	PROPN
iajs-198	149	13	{	{	PUNCT
iajs-198	149	14	7,13	7,13	NOUN
iajs-198	149	15	}	}	PUNCT
iajs-198	149	16			NOUN
iajs-198	149	17	{	{	PUNCT
iajs-198	149	18	24	24	NUM
iajs-198	149	19	}	}	PUNCT
iajs-198	149	20	,	,	PUNCT
iajs-198	149	21	where	where	SCONJ
iajs-198	149	22	c2	c2	PROPN
iajs-198	149	23	is	be	AUX
iajs-198	149	24	a	a	DET
iajs-198	149	25	conic	conic	ADJ
iajs-198	149	26	,	,	PUNCT
iajs-198	149	27	c2	c2	PROPN
iajs-198	149	28	=	=	SYM
iajs-198	149	29	{	{	PUNCT
iajs-198	149	30	1,2,7,13,21,29	1,2,7,13,21,29	NUM
iajs-198	149	31	}	}	PUNCT
iajs-198	149	32	,	,	PUNCT
iajs-198	149	33	l6	l6	PROPN
iajs-198	149	34	=	=	SYM
iajs-198	149	35	{	{	PUNCT
iajs-198	149	36	3,7,13,19,25,31	3,7,13,19,25,31	NUM
iajs-198	149	37	}	}	PUNCT
iajs-198	149	38	,	,	PUNCT
iajs-198	149	39	c2	c2	PROPN
iajs-198	149	40			PUNCT
iajs-198	149	41	l6	l6	PROPN
iajs-198	149	42	=	=	PUNCT
iajs-198	149	43	{	{	PUNCT
iajs-198	149	44	7,13	7,13	NOUN
iajs-198	149	45	}	}	PUNCT
iajs-198	149	46	,	,	PUNCT
iajs-198	149	47	l3	l3	PROPN
iajs-198	149	48			PUNCT
iajs-198	149	49	l22	l22	NOUN
iajs-198	149	50	=	=	PUNCT
iajs-198	149	51	{	{	PUNCT
iajs-198	149	52	24	24	NUM
iajs-198	149	53	}	}	PUNCT
iajs-198	149	54	,	,	PUNCT
iajs-198	149	55	where	where	SCONJ
iajs-198	149	56	l3	l3	PROPN
iajs-198	149	57	and	and	CCONJ
iajs-198	149	58	l22	l22	NOUN
iajs-198	149	59	are	be	AUX
iajs-198	149	60	tangents	tangent	NOUN
iajs-198	149	61	to	to	ADP
iajs-198	149	62	c2	c2	PROPN
iajs-198	149	63	at	at	ADP
iajs-198	149	64	the	the	DET
iajs-198	149	65	points	point	NOUN
iajs-198	149	66	7	7	NUM
iajs-198	149	67	and	and	CCONJ
iajs-198	149	68	13	13	NUM
iajs-198	149	69	respectively	respectively	ADV
iajs-198	149	70	,	,	PUNCT
iajs-198	149	71	then	then	ADV
iajs-198	149	72	.	.	PUNCT
iajs-198	150	1	1	1	NOUN
iajs-198	150	2	=	=	PUNCT
iajs-198	150	3	{	{	PUNCT
iajs-198	150	4	1,2,3,19,21,24,25,29,31	1,2,3,19,21,24,25,29,31	NUM
iajs-198	150	5	}	}	PUNCT
iajs-198	150	6	is	be	AUX
iajs-198	150	7	a	a	DET
iajs-198	150	8	minimal	minimal	ADJ
iajs-198	150	9	(	(	PUNCT
iajs-198	150	10	9,1)-blocking	9,1)-blocking	NUM
iajs-198	150	11	set	set	NOUN
iajs-198	150	12	.	.	PUNCT
iajs-198	151	1	now	now	ADV
iajs-198	151	2	,	,	PUNCT
iajs-198	151	3	we	we	PRON
iajs-198	151	4	must	must	AUX
iajs-198	151	5	construct	construct	VERB
iajs-198	151	6	a	a	DET
iajs-198	151	7	minimal	minimal	ADJ
iajs-198	151	8	(	(	PUNCT
iajs-198	151	9	b,5)-blocking	b,5)-blocke	VERB
iajs-198	151	10	set	set	NOUN
iajs-198	151	11	from	from	ADP
iajs-198	151	12	1	1	NOUN
iajs-198	151	13	,	,	PUNCT
iajs-198	151	14	1	1	NOUN
iajs-198	151	15	,	,	PUNCT
iajs-198	151	16			ADP
iajs-198	151	17	1	1	NUM
iajs-198	151	18	,	,	PUNCT
iajs-198	151	19	1	1	PUNCT
iajs-198	151	20	and	and	CCONJ
iajs-198	151	21	1	1	NOUN
iajs-198	151	22	as	as	SCONJ
iajs-198	151	23	follows	follow	VERB
iajs-198	151	24	:	:	PUNCT
iajs-198	151	25	.	.	PUNCT
iajs-198	152	1	let	let	VERB
iajs-198	152	2	d=111	d=111	PROPN
iajs-198	152	3	1	1	NOUN
iajs-198	152	4	1={1,2,3,7,	1={1,2,3,7,	PROPN
iajs-198	152	5	…	…	PUNCT
iajs-198	152	6	,22	,22	NOUN
iajs-198	152	7	,	,	PUNCT
iajs-198	152	8	24,	24,	NOUN
iajs-198	152	9	…	…	PUNCT
iajs-198	152	10	,27,29,30,31	,27,29,30,31	NOUN
iajs-198	152	11	}	}	PUNCT
iajs-198	152	12	.	.	PUNCT
iajs-198	153	1	d	d	NOUN
iajs-198	153	2	must	must	AUX
iajs-198	153	3	satisfy	satisfy	VERB
iajs-198	153	4	the	the	DET
iajs-198	153	5	following	follow	VERB
iajs-198	153	6	conditions	condition	NOUN
iajs-198	153	7	:	:	PUNCT
iajs-198	153	8	(	(	PUNCT
iajs-198	153	9	a	a	X
iajs-198	153	10	)	)	PUNCT
iajs-198	153	11	d	d	NOUN
iajs-198	153	12	intersects	intersect	VERB
iajs-198	153	13	every	every	DET
iajs-198	153	14	line	line	NOUN
iajs-198	153	15	in	in	ADP
iajs-198	153	16	at	at	ADV
iajs-198	153	17	least	least	ADV
iajs-198	153	18	five	five	NUM
iajs-198	153	19	points	point	NOUN
iajs-198	153	20	.	.	PUNCT
iajs-198	154	1	(	(	PUNCT
iajs-198	154	2	b	b	X
iajs-198	154	3	)	)	PUNCT
iajs-198	154	4	every	every	DET
iajs-198	154	5	point	point	NOUN
iajs-198	154	6	of	of	ADP
iajs-198	154	7	d	d	NOUN
iajs-198	154	8	is	be	AUX
iajs-198	154	9	on	on	ADP
iajs-198	154	10	at	at	ADV
iajs-198	154	11	least	least	ADV
iajs-198	154	12	one	one	NUM
iajs-198	154	13	5	5	NUM
iajs-198	154	14	-	-	PUNCT
iajs-198	154	15	secant	secant	NOUN
iajs-198	154	16	of	of	ADP
iajs-198	154	17	d.	d.	NOUN
iajs-198	154	18	we	we	PRON
iajs-198	154	19	add	add	VERB
iajs-198	154	20	four	four	NUM
iajs-198	154	21	points	point	NOUN
iajs-198	154	22	5,6,23,28	5,6,23,28	PROPN
iajs-198	154	23	to	to	ADP
iajs-198	154	24	d	d	PROPN
iajs-198	154	25	to	to	PART
iajs-198	154	26	satisfy	satisfy	VERB
iajs-198	154	27	these	these	DET
iajs-198	154	28	conditions	condition	NOUN
iajs-198	154	29	,	,	PUNCT
iajs-198	154	30	then	then	ADV
iajs-198	154	31	:	:	PUNCT
iajs-198	154	32	5	5	X
iajs-198	155	1	=	=	PUNCT
iajs-198	155	2	d	d	PROPN
iajs-198	155	3			PROPN
iajs-198	155	4	{	{	PUNCT
iajs-198	155	5	5,6,23,28	5,6,23,28	PROPN
iajs-198	155	6	}	}	PUNCT
iajs-198	155	7	=	=	PUNCT
iajs-198	155	8	{	{	PUNCT
iajs-198	155	9	1,2,3,5,	1,2,3,5,	NUM
iajs-198	155	10	…	…	SYM
iajs-198	155	11	,31	,31	NOUN
iajs-198	155	12	}	}	PUNCT
iajs-198	155	13	is	be	AUX
iajs-198	155	14	a	a	DET
iajs-198	155	15	minimal	minimal	ADJ
iajs-198	155	16	(	(	PUNCT
iajs-198	155	17	30,5)-blocking	30,5)-blocke	VERB
iajs-198	155	18	set	set	NOUN
iajs-198	155	19	which	which	PRON
iajs-198	155	20	is	be	AUX
iajs-198	155	21	trivial	trivial	ADJ
iajs-198	155	22	since	since	SCONJ
iajs-198	155	23	5	5	NOUN
iajs-198	155	24	contains	contain	VERB
iajs-198	155	25	some	some	DET
iajs-198	155	26	lines	line	NOUN
iajs-198	155	27	completely	completely	ADV
iajs-198	155	28	.	.	PUNCT
iajs-198	156	1	the	the	DET
iajs-198	156	2	complement	complement	NOUN
iajs-198	156	3	of	of	ADP
iajs-198	156	4	5	5	NOUN
iajs-198	156	5	is	be	AUX
iajs-198	156	6	not	not	PART
iajs-198	156	7	arc	arc	NOUN
iajs-198	156	8	since	since	SCONJ
iajs-198	156	9	every	every	DET
iajs-198	156	10	(	(	PUNCT
iajs-198	156	11	k	k	NOUN
iajs-198	156	12	,	,	PUNCT
iajs-198	156	13	n	n	CCONJ
iajs-198	156	14	)	)	PUNCT
iajs-198	156	15	can	can	AUX
iajs-198	156	16	not	not	PART
iajs-198	156	17	exist	exist	VERB
iajs-198	156	18	when	when	SCONJ
iajs-198	156	19	n	n	X
iajs-198	156	20	<	<	X
iajs-198	156	21	2	2	NUM
iajs-198	156	22	.	.	PUNCT
iajs-198	156	23	conclusion	conclusion	NOUN
iajs-198	156	24	1	1	NUM
iajs-198	156	25	.	.	PUNCT
iajs-198	157	1	we	we	PRON
iajs-198	157	2	construct	construct	VERB
iajs-198	157	3	a	a	DET
iajs-198	157	4	minimal	minimal	ADJ
iajs-198	157	5	(	(	PUNCT
iajs-198	157	6	9,1)-blocking	9,1)-blocking	NUM
iajs-198	157	7	set	set	NOUN
iajs-198	157	8	,	,	PUNCT
iajs-198	157	9	which	which	PRON
iajs-198	157	10	is	be	AUX
iajs-198	157	11	containing	contain	VERB
iajs-198	157	12	a	a	DET
iajs-198	157	13	conic	conic	NOUN
iajs-198	157	14	as	as	ADP
iajs-198	157	15	in	in	ADP
iajs-198	157	16	lemma	lemma	PROPN
iajs-198	157	17	(	(	PUNCT
iajs-198	157	18	1.12	1.12	NUM
iajs-198	157	19	)	)	PUNCT
iajs-198	157	20	.	.	PUNCT
iajs-198	158	1	also	also	ADV
iajs-198	158	2	we	we	PRON
iajs-198	158	3	construct	construct	VERB
iajs-198	158	4	minimal	minimal	ADJ
iajs-198	158	5	(	(	PUNCT
iajs-198	158	6	16,2)-blocking	16,2)-blocke	VERB
iajs-198	158	7	by	by	ADP
iajs-198	158	8	taking	take	VERB
iajs-198	158	9	the	the	DET
iajs-198	158	10	union	union	NOUN
iajs-198	158	11	of	of	ADP
iajs-198	158	12	two	two	NUM
iajs-198	158	13	blocking	blocking	NOUN
iajs-198	158	14	(	(	PUNCT
iajs-198	158	15	9,1)-sets	9,1)-sets	NUM
iajs-198	158	16	of	of	ADP
iajs-198	158	17	type	type	NOUN
iajs-198	158	18	in	in	ADP
iajs-198	158	19	lemma	lemma	PROPN
iajs-198	158	20	(	(	PUNCT
iajs-198	158	21	1.12	1.12	NUM
iajs-198	158	22	)	)	PUNCT
iajs-198	158	23	.	.	PUNCT
iajs-198	159	1	we	we	PRON
iajs-198	159	2	construct	construct	VERB
iajs-198	159	3	minimal	minimal	ADJ
iajs-198	159	4	(	(	PUNCT
iajs-198	159	5	20,3)-blocking	20,3)-blocking	NUM
iajs-198	159	6	set	set	NOUN
iajs-198	159	7	,	,	PUNCT
iajs-198	159	8	by	by	ADP
iajs-198	159	9	taking	take	VERB
iajs-198	159	10	the	the	DET
iajs-198	159	11	union	union	NOUN
iajs-198	159	12	of	of	ADP
iajs-198	159	13	three	three	NUM
iajs-198	159	14	(	(	PUNCT
iajs-198	159	15	9,1)blocking	9,1)blocking	NUM
iajs-198	159	16	sets	set	NOUN
iajs-198	159	17	of	of	ADP
iajs-198	159	18	type	type	NOUN
iajs-198	159	19	in	in	ADP
iajs-198	159	20	lemma	lemma	PROPN
iajs-198	159	21	(	(	PUNCT
iajs-198	159	22	1.12	1.12	NUM
iajs-198	159	23	)	)	PUNCT
iajs-198	159	24	.	.	PUNCT
iajs-198	160	1	we	we	PRON
iajs-198	160	2	construct	construct	VERB
iajs-198	160	3	minimal	minimal	ADJ
iajs-198	160	4	(	(	PUNCT
iajs-198	160	5	25,4)-blocking	25,4)-blocke	VERB
iajs-198	160	6	set	set	VERB
iajs-198	160	7	by	by	ADP
iajs-198	160	8	taking	take	VERB
iajs-198	160	9	the	the	DET
iajs-198	160	10	union	union	NOUN
iajs-198	160	11	of	of	ADP
iajs-198	160	12	four	four	NUM
iajs-198	160	13	(	(	PUNCT
iajs-198	160	14	9,1)-blocking	9,1)-blocking	NUM
iajs-198	160	15	sets	set	NOUN
iajs-198	160	16	of	of	ADP
iajs-198	160	17	type	type	NOUN
iajs-198	160	18	in	in	ADP
iajs-198	160	19	lemma	lemma	PROPN
iajs-198	160	20	(	(	PUNCT
iajs-198	160	21	1.12	1.12	NUM
iajs-198	160	22	)	)	PUNCT
iajs-198	160	23	and	and	CCONJ
iajs-198	160	24	finally	finally	ADV
iajs-198	160	25	we	we	PRON
iajs-198	160	26	construct	construct	VERB
iajs-198	160	27	minimal	minimal	ADJ
iajs-198	160	28	(	(	PUNCT
iajs-198	160	29	30,5)-blocking	30,5)-blocke	VERB
iajs-198	160	30	set	set	VERB
iajs-198	160	31	b5	b5	PROPN
iajs-198	160	32	by	by	ADP
iajs-198	160	33	taking	take	VERB
iajs-198	160	34	the	the	DET
iajs-198	160	35	union	union	NOUN
iajs-198	160	36	five	five	NUM
iajs-198	160	37	(	(	PUNCT
iajs-198	160	38	9,1)-blocking	9,1)-blocking	NUM
iajs-198	160	39	sets	set	NOUN
iajs-198	160	40	of	of	ADP
iajs-198	160	41	type	type	NOUN
iajs-198	160	42	in	in	ADP
iajs-198	160	43	lemma	lemma	PROPN
iajs-198	160	44	(	(	PUNCT
iajs-198	160	45	1.12	1.12	NUM
iajs-198	160	46	)	)	PUNCT
iajs-198	160	47	.	.	PUNCT
iajs-198	161	1	2	2	X
iajs-198	161	2	.	.	X
iajs-198	161	3	the	the	DET
iajs-198	161	4	minimal	minimal	ADJ
iajs-198	161	5	(	(	PUNCT
iajs-198	161	6	9,1)-blocking	9,1)-blocking	NUM
iajs-198	161	7	set	set	VERB
iajs-198	161	8	b1	b1	NOUN
iajs-198	161	9	and	and	CCONJ
iajs-198	161	10	the	the	DET
iajs-198	161	11	minimal	minimal	ADJ
iajs-198	161	12	(	(	PUNCT
iajs-198	161	13	16,2)-blocking	16,2)-blocking	NUM
iajs-198	161	14	set	set	VERB
iajs-198	161	15	b2	b2	NOUN
iajs-198	161	16	are	be	AUX
iajs-198	161	17	non	non	ADJ
iajs-198	161	18	-	-	ADJ
iajs-198	161	19	trivial	trivial	ADJ
iajs-198	161	20	,	,	PUNCT
iajs-198	161	21	but	but	CCONJ
iajs-198	161	22	the	the	DET
iajs-198	161	23	minimal	minimal	ADJ
iajs-198	161	24	(	(	PUNCT
iajs-198	161	25	20,3)-blocking	20,3)-blocking	NUM
iajs-198	161	26	set	set	NOUN
iajs-198	161	27	b3	b3	NOUN
iajs-198	161	28	,	,	PUNCT
iajs-198	161	29	the	the	DET
iajs-198	161	30	minimal	minimal	ADJ
iajs-198	161	31	(	(	PUNCT
iajs-198	161	32	25,4)-blocking	25,4)-blocke	VERB
iajs-198	161	33	set	set	VERB
iajs-198	161	34	b4	b4	NOUN
iajs-198	161	35	and	and	CCONJ
iajs-198	161	36	the	the	DET
iajs-198	161	37	minimal	minimal	ADJ
iajs-198	161	38	(	(	PUNCT
iajs-198	161	39	30,5)-blocking	30,5)-blocke	VERB
iajs-198	161	40	set	set	VERB
iajs-198	161	41	b5	b5	PROPN
iajs-198	161	42	are	be	AUX
iajs-198	161	43	trivial	trivial	ADJ
iajs-198	161	44	references	reference	NOUN
iajs-198	161	45	1	1	NUM
iajs-198	161	46	.	.	PUNCT
iajs-198	162	1	al	al	PROPN
iajs-198	162	2	-	-	PUNCT
iajs-198	162	3	mukhtar	mukhtar	PROPN
iajs-198	162	4	,	,	PUNCT
iajs-198	162	5	a.s	a.s	PROPN
iajs-198	162	6	.	.	PROPN
iajs-198	162	7	,ahmed	,ahmed	PROPN
iajs-198	162	8	,	,	PUNCT
iajs-198	162	9	a.m.	a.m.	NOUN
iajs-198	162	10	and	and	CCONJ
iajs-198	162	11	faiyadh	faiyadh	PROPN
iajs-198	162	12	,	,	PUNCT
iajs-198	162	13	m.s	m.s	PROPN
iajs-198	162	14	.	.	PROPN
iajs-198	162	15	,	,	PUNCT
iajs-198	162	16	(	(	PUNCT
iajs-198	162	17	2013	2013	NUM
iajs-198	162	18	)	)	PUNCT
iajs-198	162	19	,	,	PUNCT
iajs-198	162	20	the	the	DET
iajs-198	162	21	construction	construction	NOUN
iajs-198	162	22	of	of	ADP
iajs-198	162	23	(	(	PUNCT
iajs-198	162	24	k,3)-arcs	k,3)-arcs	PROPN
iajs-198	162	25	on	on	ADP
iajs-198	162	26	projective	projective	ADJ
iajs-198	162	27	plane	plane	NOUN
iajs-198	162	28	over	over	ADP
iajs-198	162	29	galois	galois	PROPN
iajs-198	162	30	field	field	NOUN
iajs-198	162	31	gf(7),ibn	gf(7),ibn	PROPN
iajs-198	162	32	-	-	PUNCT
iajs-198	162	33	al	al	PROPN
iajs-198	162	34	-	-	PUNCT
iajs-198	162	35	haitham	haitham	PROPN
iajs-198	162	36	journal	journal	PROPN
iajs-198	162	37	for	for	ADP
iajs-198	162	38	pure	pure	ADJ
iajs-198	162	39	and	and	CCONJ
iajs-198	162	40	applied	applied	ADJ
iajs-198	162	41	science,(26),(2),259	science,(26),(2),259	NOUN
iajs-198	162	42	-	-	PUNCT
iajs-198	162	43	265	265	NUM
iajs-198	162	44	.	.	PUNCT
iajs-198	163	1	2	2	X
iajs-198	163	2	.	.	X
iajs-198	163	3	al	al	PROPN
iajs-198	163	4	-	-	PUNCT
iajs-198	163	5	mukhtar	mukhtar	PROPN
iajs-198	163	6	,	,	PUNCT
iajs-198	163	7	a.s	a.s	PROPN
iajs-198	163	8	.	.	PROPN
iajs-198	163	9	,	,	PUNCT
iajs-198	163	10	ahmed	ahme	VERB
iajs-198	163	11	,	,	PUNCT
iajs-198	163	12	and	and	CCONJ
iajs-198	163	13	kareem	kareem	PROPN
iajs-198	163	14	,	,	PUNCT
iajs-198	163	15	f.f	f.f	PROPN
iajs-198	163	16	.	.	PROPN
iajs-198	163	17	,	,	PUNCT
iajs-198	163	18	(	(	PUNCT
iajs-198	163	19	2013	2013	NUM
iajs-198	163	20	)	)	PUNCT
iajs-198	163	21	,	,	PUNCT
iajs-198	163	22	the	the	DET
iajs-198	163	23	construction	construction	NOUN
iajs-198	163	24	of	of	ADP
iajs-198	163	25	(	(	PUNCT
iajs-198	163	26	k,3)-arcs	k,3)-arcs	PROPN
iajs-198	163	27	in	in	ADP
iajs-198	163	28	pg(2,9	pg(2,9	NOUN
iajs-198	163	29	)	)	PUNCT
iajs-198	163	30	by	by	ADP
iajs-198	163	31	using	use	VERB
iajs-198	163	32	geometric	geometric	ADJ
iajs-198	163	33	method	method	NOUN
iajs-198	163	34	,	,	PUNCT
iajs-198	163	35	ibn	ibn	PROPN
iajs-198	163	36	-	-	PUNCT
iajs-198	163	37	al	al	PROPN
iajs-198	163	38	-	-	PUNCT
iajs-198	163	39	haitham	haitham	PROPN
iajs-198	163	40	journal	journal	PROPN
iajs-198	163	41	for	for	ADP
iajs-198	163	42	pure	pure	ADJ
iajs-198	163	43	and	and	CCONJ
iajs-198	163	44	applied	apply	VERB
iajs-198	163	45	science,(26),(2),239	science,(26),(2),239	VERB
iajs-198	163	46	-	-	PUNCT
iajs-198	163	47	248	248	NUM
iajs-198	163	48	.	.	PUNCT
iajs-198	164	1	3	3	X
iajs-198	164	2	.	.	X
iajs-198	165	1	hassan	hassan	PROPN
iajs-198	165	2	,	,	PUNCT
iajs-198	165	3	u.a	u.a	PROPN
iajs-198	165	4	.	.	PROPN
iajs-198	165	5	,	,	PUNCT
iajs-198	165	6	(	(	PUNCT
iajs-198	165	7	2013	2013	NUM
iajs-198	165	8	)	)	PUNCT
iajs-198	165	9	,	,	PUNCT
iajs-198	165	10	the	the	DET
iajs-198	165	11	reverse	reverse	ADJ
iajs-198	165	12	construction	construction	NOUN
iajs-198	165	13	for	for	ADP
iajs-198	165	14	the	the	DET
iajs-198	165	15	complete	complete	ADJ
iajs-198	165	16	arcs	arc	NOUN
iajs-198	165	17	in	in	ADP
iajs-198	165	18	the	the	DET
iajs-198	165	19	projective	projective	ADJ
iajs-198	165	20	plane	plane	NOUN
iajs-198	165	21	pg(2,p	pg(2,p	NOUN
iajs-198	165	22	)	)	PUNCT
iajs-198	165	23	over	over	ADP
iajs-198	165	24	galois	galois	PROPN
iajs-198	165	25	field	field	NOUN
iajs-198	165	26	gf(p	gf(p	NOUN
iajs-198	165	27	)	)	PUNCT
iajs-198	165	28	by	by	ADP
iajs-198	165	29	using	use	VERB
iajs-198	165	30	geometric	geometric	ADJ
iajs-198	165	31	methods	method	NOUN
iajs-198	165	32	,	,	PUNCT
iajs-198	165	33	m.sc	m.sc	PROPN
iajs-198	165	34	.	.	PUNCT
iajs-198	165	35	thesis	thesis	NOUN
iajs-198	165	36	,	,	PUNCT
iajs-198	165	37	university	university	NOUN
iajs-198	165	38	of	of	ADP
iajs-198	165	39	baghdad	baghdad	PROPN
iajs-198	165	40	,	,	PUNCT
iajs-198	165	41	iraq	iraq	PROPN
iajs-198	165	42	.	.	PUNCT
iajs-198	166	1	4	4	X
iajs-198	166	2	.	.	X
iajs-198	166	3	hirschfeld	hirschfeld	PROPN
iajs-198	166	4	,	,	PUNCT
iajs-198	166	5	j.	j.	PROPN
iajs-198	166	6	w.	w.	PROPN
iajs-198	166	7	p.	p.	PROPN
iajs-198	166	8	,	,	PUNCT
iajs-198	166	9	(	(	PUNCT
iajs-198	166	10	1998	1998	NUM
iajs-198	166	11	)	)	PUNCT
iajs-198	166	12	,	,	PUNCT
iajs-198	166	13	projective	projective	PROPN
iajs-198	166	14	geometries	geometry	NOUN
iajs-198	166	15	over	over	ADP
iajs-198	166	16	finite	finite	ADJ
iajs-198	166	17	fields	field	NOUN
iajs-198	166	18	,	,	PUNCT
iajs-198	166	19	second	second	ADJ
iajs-198	166	20	edition	edition	NOUN
iajs-198	166	21	,	,	PUNCT
iajs-198	166	22	oxford	oxford	PROPN
iajs-198	166	23	university	university	PROPN
iajs-198	166	24	press	press	NOUN
iajs-198	166	25	.	.	PUNCT
iajs-198	167	1	5	5	X
iajs-198	167	2	.	.	X
iajs-198	167	3	rumen	rumen	PROPN
iajs-198	167	4	daskalov	daskalov	PROPN
iajs-198	167	5	,	,	PUNCT
iajs-198	167	6	(	(	PUNCT
iajs-198	167	7	2008	2008	NUM
iajs-198	167	8	)	)	PUNCT
iajs-198	167	9	,	,	PUNCT
iajs-198	167	10	a	a	DET
iajs-198	167	11	geometric	geometric	ADJ
iajs-198	167	12	construction	construction	NOUN
iajs-198	167	13	of	of	ADP
iajs-198	167	14	(	(	PUNCT
iajs-198	167	15	38,2)-bloking	38,2)-bloking	NUM
iajs-198	167	16	set	set	NOUN
iajs-198	167	17	in	in	ADP
iajs-198	167	18	pg(2,13	pg(2,13	PROPN
iajs-198	167	19	)	)	PUNCT
iajs-198	167	20	and	and	CCONJ
iajs-198	167	21	the	the	DET
iajs-198	167	22	related	relate	VERB
iajs-198	167	23	[	[	PUNCT
iajs-198	167	24	145,3,133]13	145,3,133]13	NUM
iajs-198	167	25	cod	cod	NOUN
iajs-198	167	26	,	,	PUNCT
iajs-198	167	27	discrete	discrete	ADJ
iajs-198	167	28	mathematics	mathematics	PROPN
iajs-198	167	29	technical	technical	PROPN
iajs-198	167	30	university	university	PROPN
iajs-198	167	31	of	of	ADP
iajs-198	167	32	gabrovo	gabrovo	PROPN
iajs-198	167	33	,	,	PUNCT
iajs-198	167	34	bulgaria	bulgaria	PROPN
iajs-198	167	35	,	,	PUNCT
iajs-198	167	36	308	308	NUM
iajs-198	167	37	(	(	PUNCT
iajs-198	167	38	1341	1341	NUM
iajs-198	167	39	-	-	SYM
iajs-198	167	40	1345	1345	NUM
iajs-198	167	41	)	)	PUNCT
iajs-198	167	42	.	.	PUNCT
iajs-198	168	1	6	6	X
iajs-198	168	2	.	.	X
iajs-198	168	3	ball	ball	NOUN
iajs-198	168	4	,	,	PUNCT
iajs-198	168	5	s.	s.	PROPN
iajs-198	168	6	,	,	PUNCT
iajs-198	168	7	(	(	PUNCT
iajs-198	168	8	1995	1995	NUM
iajs-198	168	9	)	)	PUNCT
iajs-198	168	10	,	,	PUNCT
iajs-198	168	11	multiple	multiple	ADJ
iajs-198	168	12	blocking	blocking	NOUN
iajs-198	168	13	sets	set	NOUN
iajs-198	168	14	and	and	CCONJ
iajs-198	168	15	arcs	arc	NOUN
iajs-198	168	16	in	in	ADP
iajs-198	168	17	finite	finite	ADJ
iajs-198	168	18	plane	plane	NOUN
iajs-198	168	19	,	,	PUNCT
iajs-198	168	20	school	school	NOUN
iajs-198	168	21	of	of	ADP
iajs-198	168	22	mathematical	mathematical	ADJ
iajs-198	168	23	and	and	CCONJ
iajs-198	168	24	physical	physical	ADJ
iajs-198	168	25	sciences	science	NOUN
iajs-198	168	26	,	,	PUNCT
iajs-198	168	27	university	university	PROPN
iajs-198	168	28	of	of	ADP
iajs-198	168	29	sussex	sussex	PROPN
iajs-198	168	30	,	,	PUNCT
iajs-198	168	31	brighton	brighton	PROPN
iajs-198	168	32	bn	bn	PROPN
iajs-198	168	33	,	,	PUNCT
iajs-198	168	34	qh	qh	NOUN
iajs-198	168	35	,	,	PUNCT
iajs-198	168	36	u	u	NOUN
iajs-198	168	37	,	,	PUNCT
iajs-198	168	38	k,1	k,1	PROPN
iajs-198	168	39	-	-	PROPN
iajs-198	168	40	16	16	NUM
iajs-198	168	41	.	.	PUNCT
iajs-198	168	42	170	170	NUM
iajs-198	169	1	|	|	NOUN
iajs-198	169	2	mathematics	mathematic	NOUN
iajs-198	169	3	2015	2015	NUM
iajs-198	169	4	)	)	PUNCT
iajs-198	169	5	عام	عام	ADP
iajs-198	169	6	1العدد	1العدد	NUM
iajs-198	169	7	(	(	PUNCT
iajs-198	169	8	28مجلة	28مجلة	X
iajs-198	169	9	إبن	إبن	VERB
iajs-198	169	10	الھيثم	الھيثم	NOUN
iajs-198	169	11	للعلوم	للعلوم	NOUN
iajs-198	169	12	الصرفة	الصرفة	NOUN
iajs-198	170	1	و	و	PRON
iajs-198	170	2	التطبيقية	التطبيقية	ADV
iajs-198	170	3	المجلد	المجلد	VERB
iajs-198	170	4	ibn	ibn	PROPN
iajs-198	170	5	al	al	PROPN
iajs-198	170	6	-	-	PUNCT
iajs-198	170	7	haitham	haitham	PROPN
iajs-198	170	8	j.	j.	PROPN
iajs-198	170	9	for	for	ADP
iajs-198	170	10	pure	pure	PROPN
iajs-198	170	11	&	&	CCONJ
iajs-198	170	12	appl	appl	PROPN
iajs-198	170	13	.	.	PUNCT
iajs-198	171	1	sci	sci	PROPN
iajs-198	171	2	.	.	PUNCT
iajs-198	171	3	vol	vol	NOUN
iajs-198	171	4	.	.	PROPN
iajs-198	172	1	28	28	NUM
iajs-198	172	2	(	(	PUNCT
iajs-198	172	3	1	1	NUM
iajs-198	172	4	)	)	PUNCT
iajs-198	172	5	2015	2015	NUM
iajs-198	172	6	pg(2,5)صغرى	pg(2,5)صغرى	NUM
iajs-198	172	7	تحتوي	تحتوي	NOUN
iajs-198	172	8	على	على	NOUN
iajs-198	173	1	مخروطيات	مخروطيات	ADJ
iajs-198	173	2	في	في	X
iajs-198	173	3	(	(	PUNCT
iajs-198	173	4	b	b	NOUN
iajs-198	173	5	,	,	PUNCT
iajs-198	173	6	t)–بناء	t)–بناء	NOUN
iajs-198	173	7	مجموعات	مجموعات	PROPN
iajs-198	173	8	قالبية	قالبية	PROPN
iajs-198	173	9	واالقواس	واالقواس	PROPN
iajs-198	173	10	الكاملة	الكاملة	PROPN
iajs-198	173	11	والشفرات	والشفرات	PROPN
iajs-198	173	12	االسقاطية	االسقاطية	PROPN
iajs-198	173	13	المرتبطة	المرتبطة	PROPN
iajs-198	173	14	بھا	بھا	NOUN
iajs-198	173	15	آمال	آمال	NOUN
iajs-198	173	16	شھاب	شھاب	VERB
iajs-198	173	17	المختار	المختار	PROPN
iajs-198	173	18	ثميل	ثميل	VERB
iajs-198	173	19	ھاني	ھاني	PROPN
iajs-198	173	20	صبار	صبار	PROPN
iajs-198	173	21	،	،	PROPN
iajs-198	173	22	جامعة	جامعة	PROPN
iajs-198	173	23	بغداد	بغداد	PROPN
iajs-198	173	24	كلية	كلية	PROPN
iajs-198	173	25	التربية	التربية	PROPN
iajs-198	173	26	للعلوم	للعلوم	PROPN
iajs-198	173	27	الصرفة	الصرفة	PROPN
iajs-198	173	28	،	،	PROPN
iajs-198	174	1	قسم	قسم	PROPN
iajs-198	174	2	الرياضيات	الرياضيات	PROPN
iajs-198	174	3	2014الول	2014الول	NUM
iajs-198	174	4	اكانون	اكانون	NOUN
iajs-198	174	5	21	21	NUM
iajs-198	174	6	,	,	PUNCT
iajs-198	174	7	قبل	قبل	PROPN
iajs-198	174	8	البحث	البحث	VERB
iajs-198	174	9	في	في	X
iajs-198	174	10	:	:	PUNCT
iajs-198	174	11	2014ايلول	2014ايلول	NUM
iajs-198	174	12	28أستلم	28أستلم	PROPN
iajs-198	174	13	البحث	البحث	VERB
iajs-198	174	14	في	في	X
iajs-198	174	15	:	:	PUNCT
iajs-198	174	16	الخالصه	الخالصه	PROPN
iajs-198	174	17	يقطع	يقطع	PROPN
iajs-198	174	18	pg(2,q)من	pg(2,q)من	VERB
iajs-198	174	19	النقاط	النقاط	PROPN
iajs-198	174	20	بحيث	بحيث	PROPN
iajs-198	175	1	ان	ان	PROPN
iajs-198	175	2	كل	كل	PROPN
iajs-198	175	3	مستقيم	مستقيم	PROPN
iajs-198	175	4	في	في	DET
iajs-198	175	5	bھي	bھي	PROPN
iajs-198	175	6	مجموعة	مجموعة	PROPN
iajs-198	176	1	من	من	PROPN
iajs-198	176	2	pg(2,q)في	pg(2,q)في	PROPN
iajs-198	176	3	b(b	b(b	PROPN
iajs-198	176	4	,	,	PUNCT
iajs-198	176	5	t	t	PROPN
iajs-198	176	6	)	)	PUNCT
iajs-198	176	7	المجموعة	المجموعة	PROPN
iajs-198	176	8	القالبية	القالبية	NOUN
iajs-198	176	9	b	b	PROPN
iajs-198	176	10	فيt	فيt	NOUN
iajs-198	176	11	من	من	INTJ
iajs-198	176	12	النقاط	النقاط	NOUN
iajs-198	176	13	في	في	ADP
iajs-198	176	14	االقل	االقل	PROPN
iajs-198	176	15	ويوجد	ويوجد	PROPN
iajs-198	176	16	مستقيم	مستقيم	PROPN
iajs-198	176	17	يقطعb	يقطعb	PROPN
iajs-198	176	18	فيt	فيt	PROPN
iajs-198	176	19	.من	.من	PUNCT
iajs-198	176	20	النقاط	النقاط	PROPN
iajs-198	176	21	فقط	فقط	PROPN
iajs-198	176	22	،	،	PROPN
iajs-198	176	23	باعتماد	باعتماد	VERB
iajs-198	176	24	مخروطيات	مخروطيات	PROPN
iajs-198	176	25	وحصلنا	وحصلنا	PROPN
iajs-198	176	26	pg(2,5	pg(2,5	NOUN
iajs-198	176	27	)	)	PUNCT
iajs-198	176	28	،	،	NOUN
iajs-198	176	29	t	t	NOUN
iajs-198	176	30	=	=	PUNCT
iajs-198	176	31	1,2,3,4,5صغرى	1,2,3,4,5صغرى	NUM
iajs-198	176	32	في	في	X
iajs-198	176	33	(	(	PUNCT
iajs-198	176	34	b	b	NOUN
iajs-198	176	35	,	,	PUNCT
iajs-198	176	36	t	t	PROPN
iajs-198	176	37	)	)	PUNCT
iajs-198	176	38	–	–	PUNCT
iajs-198	176	39	بية	بية	NOUN
iajs-198	176	40	في	في	SCONJ
iajs-198	176	41	ھذا	ھذا	NOUN
iajs-198	176	42	البحث	البحث	PROPN
iajs-198	176	43	قمنا	قمنا	PROPN
iajs-198	176	44	ببناء	ببناء	PROPN
iajs-198	176	45	مجموعات	مجموعات	PROPN
iajs-198	176	46	قال	قال	NOUN
iajs-198	176	47	على	على	NOUN
iajs-198	176	48	أقواس	أقواس	NOUN
iajs-198	176	49	كاملة	كاملة	NOUN
iajs-198	176	50	وشفرات	وشفرات	NOUN
iajs-198	176	51	إسقاطية	إسقاطية	NOUN
iajs-198	176	52	مرتبطة	مرتبطة	PROPN
iajs-198	176	53	بھا	بھا	PROPN
iajs-198	176	54	.	.	PUNCT
iajs-198	177	1	مجموعة	مجموعة	PROPN
iajs-198	177	2	قالبية	قالبية	PROPN
iajs-198	177	3	،	،	PROPN
iajs-198	177	4	قوس	قوس	PROPN
iajs-198	177	5	كامل	كامل	PROPN
iajs-198	177	6	،	،	PROPN
iajs-198	177	7	شفرة	شفرة	PROPN
iajs-198	177	8	إسقاطية	إسقاطية	NOUN
iajs-198	177	9	.	.	PUNCT
iajs-198	178	1	الكلمات	الكلمات	VERB
iajs-198	178	2	المفتاحية	المفتاحية	NOUN
iajs-198	178	3	:	:	PUNCT