id	sid	tid	token	lemma	pos
iajs-687	1	1	مجلة	مجلة	VERB
iajs-687	1	2	إبن	إبن	VERB
iajs-687	1	3	الھیثم	الھیثم	NOUN
iajs-687	1	4	للعلوم	للعلوم	NOUN
iajs-687	1	5	الصرفة	الصرفة	NOUN
iajs-687	1	6	و	و	PRON
iajs-687	1	7	التطبیقیة	التطبیقیة	PROPN
iajs-687	1	8	2012	2012	NUM
iajs-687	1	9	السنة	السنة	NOUN
iajs-687	1	10	25	25	NUM
iajs-687	1	11	المجلد	المجلد	NOUN
iajs-687	1	12	1	1	NUM
iajs-687	1	13	العدد	العدد	PROPN
iajs-687	1	14	ibn	ibn	PROPN
iajs-687	1	15	al	al	PROPN
iajs-687	1	16	-	-	PUNCT
iajs-687	1	17	haitham	haitham	PROPN
iajs-687	1	18	journal	journal	PROPN
iajs-687	1	19	for	for	ADP
iajs-687	1	20	pure	pure	ADJ
iajs-687	1	21	and	and	CCONJ
iajs-687	1	22	applied	apply	VERB
iajs-687	1	23	science	science	NOUN
iajs-687	1	24	no	no	NOUN
iajs-687	1	25	.	.	NOUN
iajs-687	1	26	1	1	NUM
iajs-687	1	27	vol	vol	NOUN
iajs-687	1	28	.	.	PUNCT
iajs-687	2	1	25	25	NUM
iajs-687	2	2	year	year	NOUN
iajs-687	2	3	2012	2012	NUM
iajs-687	2	4	on	on	ADP
iajs-687	2	5	projective	projective	ADJ
iajs-687	2	6	3	3	NUM
iajs-687	2	7	-	-	PUNCT
iajs-687	2	8	space	space	NOUN
iajs-687	2	9	over	over	ADP
iajs-687	2	10	galois	galois	PROPN
iajs-687	2	11	field	field	NOUN
iajs-687	2	12	a.	a.	NOUN
iajs-687	2	13	sh	sh	PROPN
iajs-687	2	14	.	.	PUNCT
iajs-687	3	1	al	al	PROPN
iajs-687	3	2	-	-	PUNCT
iajs-687	3	3	mukhtar	mukhtar	PROPN
iajs-687	3	4	department	department	PROPN
iajs-687	3	5	of	of	ADP
iajs-687	3	6	mathematics	mathematics	PROPN
iajs-687	3	7	,	,	PUNCT
iajs-687	3	8	college	college	NOUN
iajs-687	3	9	of	of	ADP
iajs-687	3	10	education	education	PROPN
iajs-687	3	11	ibn	ibn	PROPN
iajs-687	3	12	-	-	PUNCT
iajs-687	3	13	al	al	PROPN
iajs-687	3	14	-	-	PUNCT
iajs-687	3	15	haitham	haitham	PROPN
iajs-687	3	16	,	,	PUNCT
iajs-687	3	17	university	university	PROPN
iajs-687	3	18	of	of	ADP
iajs-687	3	19	baghdad	baghdad	PROPN
iajs-687	3	20	received	receive	VERB
iajs-687	3	21	in	in	ADP
iajs-687	3	22	:	:	PUNCT
iajs-687	3	23	11	11	NUM
iajs-687	3	24	may	may	AUX
iajs-687	3	25	2011	2011	NUM
iajs-687	3	26	accepted	accept	VERB
iajs-687	3	27	in	in	ADP
iajs-687	3	28	:	:	PUNCT
iajs-687	3	29	16	16	NUM
iajs-687	3	30	june	june	PROPN
iajs-687	3	31	2011	2011	NUM
iajs-687	3	32	abstract	abstract	ADJ
iajs-687	3	33	the	the	DET
iajs-687	3	34	purpose	purpose	NOUN
iajs-687	3	35	of	of	ADP
iajs-687	3	36	this	this	DET
iajs-687	3	37	paper	paper	NOUN
iajs-687	3	38	is	be	AUX
iajs-687	3	39	to	to	PART
iajs-687	3	40	give	give	VERB
iajs-687	3	41	the	the	DET
iajs-687	3	42	definition	definition	NOUN
iajs-687	3	43	of	of	ADP
iajs-687	3	44	projective	projective	ADJ
iajs-687	3	45	3	3	NUM
iajs-687	3	46	-	-	PUNCT
iajs-687	3	47	space	space	NOUN
iajs-687	3	48	pg(3,q	pg(3,q	NOUN
iajs-687	3	49	)	)	PUNCT
iajs-687	3	50	over	over	ADP
iajs-687	3	51	galois	galois	PROPN
iajs-687	3	52	field	field	NOUN
iajs-687	3	53	gf(q	gf(q	NOUN
iajs-687	3	54	)	)	PUNCT
iajs-687	3	55	,	,	PUNCT
iajs-687	3	56	q	q	NOUN
iajs-687	3	57	=	=	PUNCT
iajs-687	3	58	pm	pm	NOUN
iajs-687	3	59	for	for	ADP
iajs-687	3	60	some	some	DET
iajs-687	3	61	prime	prime	ADJ
iajs-687	3	62	number	number	NOUN
iajs-687	3	63	p	p	NOUN
iajs-687	3	64	and	and	CCONJ
iajs-687	3	65	some	some	DET
iajs-687	3	66	integer	integer	NOUN
iajs-687	3	67	m.	m.	NOUN
iajs-687	3	68	also	also	ADV
iajs-687	3	69	,	,	PUNCT
iajs-687	3	70	the	the	DET
iajs-687	3	71	definition	definition	NOUN
iajs-687	3	72	of	of	ADP
iajs-687	3	73	the	the	DET
iajs-687	3	74	plane	plane	NOUN
iajs-687	3	75	in	in	ADP
iajs-687	3	76	pg(3,q	pg(3,q	NOUN
iajs-687	3	77	)	)	PUNCT
iajs-687	3	78	is	be	AUX
iajs-687	3	79	given	give	VERB
iajs-687	3	80	and	and	CCONJ
iajs-687	3	81	state	state	VERB
iajs-687	3	82	the	the	DET
iajs-687	3	83	principle	principle	NOUN
iajs-687	3	84	of	of	ADP
iajs-687	3	85	duality	duality	NOUN
iajs-687	3	86	.	.	PUNCT
iajs-687	4	1	moreover	moreover	ADV
iajs-687	4	2	some	some	DET
iajs-687	4	3	theorems	theorem	NOUN
iajs-687	4	4	in	in	ADP
iajs-687	4	5	pg(3,q	pg(3,q	NOUN
iajs-687	4	6	)	)	PUNCT
iajs-687	4	7	are	be	AUX
iajs-687	4	8	proved	prove	VERB
iajs-687	4	9	.	.	PUNCT
iajs-687	5	1	keywords	keyword	NOUN
iajs-687	5	2	:	:	PUNCT
iajs-687	5	3	plane	plane	NOUN
iajs-687	5	4	,	,	PUNCT
iajs-687	5	5	duality	duality	NOUN
iajs-687	5	6	,	,	PUNCT
iajs-687	5	7	galois	galois	PROPN
iajs-687	5	8	field	field	NOUN
iajs-687	5	9	.	.	PUNCT
iajs-687	6	1	1introduction	1introduction	NUM
iajs-687	6	2	,	,	PUNCT
iajs-687	6	3	[	[	X
iajs-687	6	4	1,2	1,2	NUM
iajs-687	6	5	]	]	PUNCT
iajs-687	6	6	a	a	DET
iajs-687	6	7	projective	projective	ADJ
iajs-687	6	8	3	3	NUM
iajs-687	6	9	–	–	PUNCT
iajs-687	6	10	space	space	NOUN
iajs-687	6	11	pg(3,k	pg(3,k	NOUN
iajs-687	6	12	)	)	PUNCT
iajs-687	6	13	over	over	ADP
iajs-687	6	14	a	a	DET
iajs-687	6	15	field	field	NOUN
iajs-687	6	16	k	k	X
iajs-687	6	17	is	be	AUX
iajs-687	6	18	a	a	DET
iajs-687	6	19	3	3	NUM
iajs-687	6	20	–	–	PUNCT
iajs-687	6	21	dimensional	dimensional	ADJ
iajs-687	6	22	projective	projective	ADJ
iajs-687	6	23	space	space	NOUN
iajs-687	6	24	which	which	PRON
iajs-687	6	25	consists	consist	VERB
iajs-687	6	26	of	of	ADP
iajs-687	6	27	points	point	NOUN
iajs-687	6	28	,	,	PUNCT
iajs-687	6	29	lines	line	NOUN
iajs-687	6	30	and	and	CCONJ
iajs-687	6	31	planes	plane	NOUN
iajs-687	6	32	with	with	ADP
iajs-687	6	33	the	the	DET
iajs-687	6	34	incidence	incidence	NOUN
iajs-687	6	35	relation	relation	NOUN
iajs-687	6	36	between	between	ADP
iajs-687	6	37	them	they	PRON
iajs-687	6	38	.	.	PUNCT
iajs-687	7	1	the	the	DET
iajs-687	7	2	projective	projective	ADJ
iajs-687	7	3	3	3	NUM
iajs-687	7	4	–	–	PUNCT
iajs-687	7	5	space	space	NOUN
iajs-687	7	6	satisfies	satisfy	VERB
iajs-687	7	7	the	the	DET
iajs-687	7	8	following	follow	VERB
iajs-687	7	9	axioms	axiom	NOUN
iajs-687	7	10	:	:	PUNCT
iajs-687	7	11	a.	a.	NOUN
iajs-687	7	12	any	any	DET
iajs-687	7	13	two	two	NUM
iajs-687	7	14	distinct	distinct	ADJ
iajs-687	7	15	points	point	NOUN
iajs-687	7	16	are	be	AUX
iajs-687	7	17	contained	contain	VERB
iajs-687	7	18	in	in	ADP
iajs-687	7	19	a	a	DET
iajs-687	7	20	unique	unique	ADJ
iajs-687	7	21	line	line	NOUN
iajs-687	7	22	.	.	PUNCT
iajs-687	8	1	b.	b.	VERB
iajs-687	9	1	any	any	DET
iajs-687	9	2	three	three	NUM
iajs-687	9	3	distinct	distinct	ADJ
iajs-687	9	4	non	non	ADJ
iajs-687	9	5	-	-	ADJ
iajs-687	9	6	collinear	collinear	ADJ
iajs-687	9	7	points	point	NOUN
iajs-687	9	8	,	,	PUNCT
iajs-687	9	9	also	also	ADV
iajs-687	9	10	any	any	DET
iajs-687	9	11	line	line	NOUN
iajs-687	9	12	and	and	CCONJ
iajs-687	9	13	point	point	VERB
iajs-687	9	14	not	not	PART
iajs-687	9	15	on	on	ADP
iajs-687	9	16	the	the	DET
iajs-687	9	17	line	line	NOUN
iajs-687	9	18	are	be	AUX
iajs-687	9	19	contained	contain	VERB
iajs-687	9	20	in	in	ADP
iajs-687	9	21	a	a	DET
iajs-687	9	22	unique	unique	ADJ
iajs-687	9	23	plane	plane	NOUN
iajs-687	9	24	.	.	PUNCT
iajs-687	10	1	c.	c.	NOUN
iajs-687	11	1	any	any	DET
iajs-687	11	2	two	two	NUM
iajs-687	11	3	distinct	distinct	ADJ
iajs-687	11	4	coplanar	coplanar	ADJ
iajs-687	11	5	lines	line	NOUN
iajs-687	11	6	intersect	intersect	ADJ
iajs-687	11	7	in	in	ADP
iajs-687	11	8	a	a	DET
iajs-687	11	9	unique	unique	ADJ
iajs-687	11	10	point	point	NOUN
iajs-687	11	11	.	.	PUNCT
iajs-687	12	1	d.	d.	NOUN
iajs-687	12	2	any	any	DET
iajs-687	12	3	line	line	NOUN
iajs-687	12	4	not	not	PART
iajs-687	12	5	on	on	ADP
iajs-687	12	6	a	a	DET
iajs-687	12	7	given	give	VERB
iajs-687	12	8	plane	plane	NOUN
iajs-687	12	9	intersects	intersect	NOUN
iajs-687	12	10	the	the	DET
iajs-687	12	11	plane	plane	NOUN
iajs-687	12	12	in	in	ADP
iajs-687	12	13	a	a	DET
iajs-687	12	14	unique	unique	ADJ
iajs-687	12	15	point	point	NOUN
iajs-687	12	16	.	.	PUNCT
iajs-687	13	1	e.	e.	PROPN
iajs-687	14	1	any	any	DET
iajs-687	14	2	two	two	NUM
iajs-687	14	3	distinct	distinct	ADJ
iajs-687	14	4	planes	plane	NOUN
iajs-687	14	5	intersect	intersect	ADJ
iajs-687	14	6	in	in	ADP
iajs-687	14	7	a	a	DET
iajs-687	14	8	unique	unique	ADJ
iajs-687	14	9	line	line	NOUN
iajs-687	14	10	.	.	PUNCT
iajs-687	15	1	a	a	DET
iajs-687	15	2	projective	projective	ADJ
iajs-687	15	3	space	space	NOUN
iajs-687	15	4	pg(3,q	pg(3,q	NOUN
iajs-687	15	5	)	)	PUNCT
iajs-687	15	6	over	over	ADP
iajs-687	15	7	galois	galois	PROPN
iajs-687	15	8	field	field	NOUN
iajs-687	15	9	gf(q	gf(q	NOUN
iajs-687	15	10	)	)	PUNCT
iajs-687	15	11	,	,	PUNCT
iajs-687	15	12	q	q	NOUN
iajs-687	16	1	=	=	PUNCT
iajs-687	16	2	p	p	NOUN
iajs-687	16	3	m	m	PROPN
iajs-687	16	4	,	,	PUNCT
iajs-687	16	5	for	for	ADP
iajs-687	16	6	some	some	DET
iajs-687	16	7	prime	prime	ADJ
iajs-687	16	8	number	number	NOUN
iajs-687	16	9	p	p	NOUN
iajs-687	16	10	and	and	CCONJ
iajs-687	16	11	some	some	DET
iajs-687	16	12	integer	integer	NOUN
iajs-687	16	13	m	m	PROPN
iajs-687	16	14	,	,	PUNCT
iajs-687	16	15	is	be	AUX
iajs-687	16	16	a	a	DET
iajs-687	16	17	3	3	NUM
iajs-687	16	18	–	–	PUNCT
iajs-687	16	19	dimensional	dimensional	ADJ
iajs-687	16	20	projective	projective	ADJ
iajs-687	16	21	space	space	NOUN
iajs-687	16	22	.	.	PUNCT
iajs-687	17	1	any	any	DET
iajs-687	17	2	point	point	NOUN
iajs-687	17	3	in	in	ADP
iajs-687	17	4	pg(3,q	pg(3,q	NOUN
iajs-687	17	5	)	)	PUNCT
iajs-687	17	6	has	have	VERB
iajs-687	17	7	the	the	DET
iajs-687	17	8	form	form	NOUN
iajs-687	17	9	of	of	ADP
iajs-687	17	10	a	a	DET
iajs-687	17	11	quadrable	quadrable	ADJ
iajs-687	17	12	(	(	PUNCT
iajs-687	17	13	x1	x1	PROPN
iajs-687	17	14	,	,	PUNCT
iajs-687	17	15	x2	x2	PROPN
iajs-687	17	16	,	,	PUNCT
iajs-687	17	17	x3	x3	PROPN
iajs-687	17	18	,	,	PUNCT
iajs-687	17	19	x4	x4	PROPN
iajs-687	17	20	)	)	PUNCT
iajs-687	17	21	,	,	PUNCT
iajs-687	17	22	where	where	SCONJ
iajs-687	17	23	x1	x1	ADJ
iajs-687	17	24	,	,	PUNCT
iajs-687	17	25	x2	x2	PROPN
iajs-687	17	26	,	,	PUNCT
iajs-687	17	27	x3	x3	ADJ
iajs-687	17	28	,	,	PUNCT
iajs-687	17	29	x4	x4	PROPN
iajs-687	17	30	are	be	AUX
iajs-687	17	31	elements	element	NOUN
iajs-687	17	32	in	in	ADP
iajs-687	17	33	gf(q	gf(q	NOUN
iajs-687	17	34	)	)	PUNCT
iajs-687	17	35	with	with	ADP
iajs-687	17	36	the	the	DET
iajs-687	17	37	exception	exception	NOUN
iajs-687	17	38	of	of	ADP
iajs-687	17	39	the	the	DET
iajs-687	17	40	quadrable	quadrable	ADJ
iajs-687	17	41	consisting	consisting	NOUN
iajs-687	17	42	of	of	ADP
iajs-687	17	43	four	four	NUM
iajs-687	17	44	zero	zero	NUM
iajs-687	17	45	elements	element	NOUN
iajs-687	17	46	.	.	PUNCT
iajs-687	18	1	two	two	NUM
iajs-687	18	2	quadrables	quadrable	NOUN
iajs-687	18	3	(	(	PUNCT
iajs-687	18	4	x1	x1	PROPN
iajs-687	18	5	,	,	PUNCT
iajs-687	18	6	x2	x2	PROPN
iajs-687	18	7	,	,	PUNCT
iajs-687	18	8	x3	x3	ADJ
iajs-687	18	9	,	,	PUNCT
iajs-687	18	10	x4	x4	PROPN
iajs-687	18	11	)	)	PUNCT
iajs-687	18	12	and	and	CCONJ
iajs-687	18	13	(	(	PUNCT
iajs-687	18	14	y1	y1	INTJ
iajs-687	18	15	,	,	PUNCT
iajs-687	18	16	y2	y2	PROPN
iajs-687	18	17	,	,	PUNCT
iajs-687	18	18	y3	y3	PROPN
iajs-687	18	19	,	,	PUNCT
iajs-687	18	20	y4	y4	NUM
iajs-687	18	21	)	)	PUNCT
iajs-687	18	22	represent	represent	VERB
iajs-687	18	23	the	the	DET
iajs-687	18	24	same	same	ADJ
iajs-687	18	25	point	point	NOUN
iajs-687	18	26	if	if	SCONJ
iajs-687	18	27	there	there	PRON
iajs-687	18	28	exists	exist	VERB
iajs-687	18	29			ADJ
iajs-687	18	30	in	in	ADP
iajs-687	18	31	gf(q	gf(q	NOUN
iajs-687	18	32	)	)	PUNCT
iajs-687	18	33	\	\	PUNCT
iajs-687	19	1	{	{	PUNCT
iajs-687	19	2	0	0	NUM
iajs-687	19	3	}	}	PUNCT
iajs-687	19	4	such	such	ADJ
iajs-687	19	5	that	that	SCONJ
iajs-687	19	6	(	(	PUNCT
iajs-687	19	7	x1	x1	PROPN
iajs-687	19	8	,	,	PUNCT
iajs-687	19	9	x2	x2	PROPN
iajs-687	19	10	,	,	PUNCT
iajs-687	19	11	x3	x3	ADJ
iajs-687	19	12	,	,	PUNCT
iajs-687	19	13	x4	x4	PROPN
iajs-687	19	14	)	)	PUNCT
iajs-687	19	15	=	=	SYM
iajs-687	19	16			X
iajs-687	19	17	(	(	PUNCT
iajs-687	19	18	y1	y1	NOUN
iajs-687	19	19	,	,	PUNCT
iajs-687	19	20	y2	y2	PROPN
iajs-687	19	21	,	,	PUNCT
iajs-687	19	22	y3	y3	PROPN
iajs-687	19	23	,	,	PUNCT
iajs-687	19	24	y4	y4	NUM
iajs-687	19	25	)	)	PUNCT
iajs-687	19	26	,	,	PUNCT
iajs-687	19	27	this	this	PRON
iajs-687	19	28	is	be	AUX
iajs-687	19	29	denoted	denote	VERB
iajs-687	19	30	by	by	ADP
iajs-687	19	31	(	(	PUNCT
iajs-687	19	32	x1	x1	PROPN
iajs-687	19	33	,	,	PUNCT
iajs-687	19	34	x2	x2	PROPN
iajs-687	19	35	,	,	PUNCT
iajs-687	19	36	x3	x3	PROPN
iajs-687	19	37	,	,	PUNCT
iajs-687	19	38	x4	x4	PROPN
iajs-687	19	39	)	)	PUNCT
iajs-687	19	40			PROPN
iajs-687	19	41	(	(	PUNCT
iajs-687	19	42	y1	y1	PROPN
iajs-687	19	43	,	,	PUNCT
iajs-687	19	44	y2	y2	PROPN
iajs-687	19	45	,	,	PUNCT
iajs-687	19	46	y3	y3	PROPN
iajs-687	19	47	,	,	PUNCT
iajs-687	19	48	y4	y4	NUM
iajs-687	19	49	)	)	PUNCT
iajs-687	19	50	.	.	PUNCT
iajs-687	20	1	similarly	similarly	ADV
iajs-687	20	2	,	,	PUNCT
iajs-687	20	3	any	any	DET
iajs-687	20	4	plane	plane	NOUN
iajs-687	20	5	in	in	ADP
iajs-687	20	6	pg(3,q	pg(3,q	NOUN
iajs-687	20	7	)	)	PUNCT
iajs-687	20	8	has	have	VERB
iajs-687	20	9	the	the	DET
iajs-687	20	10	form	form	NOUN
iajs-687	20	11	of	of	ADP
iajs-687	20	12	a	a	DET
iajs-687	20	13	quadrable	quadrable	ADJ
iajs-687	20	14	[	[	X
iajs-687	20	15	x1	x1	PROPN
iajs-687	20	16	,	,	PUNCT
iajs-687	20	17	x2	x2	PROPN
iajs-687	20	18	,	,	PUNCT
iajs-687	20	19	x3	x3	PROPN
iajs-687	20	20	,	,	PUNCT
iajs-687	20	21	x4	x4	PROPN
iajs-687	20	22	]	]	X
iajs-687	20	23	,	,	PUNCT
iajs-687	20	24	where	where	SCONJ
iajs-687	20	25	x1	x1	ADJ
iajs-687	20	26	,	,	PUNCT
iajs-687	20	27	x2	x2	PROPN
iajs-687	20	28	,	,	PUNCT
iajs-687	20	29	x3	x3	ADJ
iajs-687	20	30	,	,	PUNCT
iajs-687	20	31	x4	x4	PROPN
iajs-687	20	32	are	be	AUX
iajs-687	20	33	distinct	distinct	ADJ
iajs-687	20	34	elements	element	NOUN
iajs-687	20	35	in	in	ADP
iajs-687	20	36	gf(q	gf(q	NOUN
iajs-687	20	37	)	)	PUNCT
iajs-687	20	38	with	with	ADP
iajs-687	20	39	the	the	DET
iajs-687	20	40	exception	exception	NOUN
iajs-687	20	41	of	of	ADP
iajs-687	20	42	the	the	DET
iajs-687	20	43	quadrable	quadrable	ADJ
iajs-687	20	44	consisting	consisting	NOUN
iajs-687	20	45	of	of	ADP
iajs-687	20	46	four	four	NUM
iajs-687	20	47	zero	zero	NUM
iajs-687	20	48	elements	element	NOUN
iajs-687	20	49	.	.	PUNCT
iajs-687	21	1	مجلة	مجلة	VERB
iajs-687	21	2	إبن	إبن	VERB
iajs-687	21	3	الھیثم	الھیثم	NOUN
iajs-687	21	4	للعلوم	للعلوم	NOUN
iajs-687	21	5	الصرفة	الصرفة	NOUN
iajs-687	21	6	و	و	PRON
iajs-687	21	7	التطبیقیة	التطبیقیة	PROPN
iajs-687	21	8	2012	2012	NUM
iajs-687	21	9	السنة	السنة	NOUN
iajs-687	21	10	25	25	NUM
iajs-687	21	11	المجلد	المجلد	NOUN
iajs-687	21	12	1	1	NUM
iajs-687	21	13	العدد	العدد	PROPN
iajs-687	21	14	ibn	ibn	PROPN
iajs-687	21	15	al	al	PROPN
iajs-687	21	16	-	-	PUNCT
iajs-687	21	17	haitham	haitham	PROPN
iajs-687	21	18	journal	journal	PROPN
iajs-687	21	19	for	for	ADP
iajs-687	21	20	pure	pure	ADJ
iajs-687	21	21	and	and	CCONJ
iajs-687	21	22	applied	apply	VERB
iajs-687	21	23	science	science	NOUN
iajs-687	21	24	no	no	NOUN
iajs-687	21	25	.	.	NOUN
iajs-687	21	26	1	1	NUM
iajs-687	21	27	vol	vol	NOUN
iajs-687	21	28	.	.	PUNCT
iajs-687	22	1	25	25	NUM
iajs-687	22	2	year	year	NOUN
iajs-687	22	3	2012	2012	NUM
iajs-687	22	4	two	two	NUM
iajs-687	22	5	quadrables	quadrable	NOUN
iajs-687	23	1	[	[	X
iajs-687	23	2	x1	x1	ADJ
iajs-687	23	3	,	,	PUNCT
iajs-687	23	4	x2	x2	PROPN
iajs-687	23	5	,	,	PUNCT
iajs-687	23	6	x3	x3	PROPN
iajs-687	23	7	,	,	PUNCT
iajs-687	23	8	x4	x4	PROPN
iajs-687	23	9	]	]	PUNCT
iajs-687	23	10	and	and	CCONJ
iajs-687	23	11	[	[	X
iajs-687	23	12	y1	y1	INTJ
iajs-687	23	13	,	,	PUNCT
iajs-687	23	14	y2	y2	PROPN
iajs-687	23	15	,	,	PUNCT
iajs-687	23	16	y3	y3	PROPN
iajs-687	23	17	,	,	PUNCT
iajs-687	23	18	y4	y4	PROPN
iajs-687	23	19	]	]	PUNCT
iajs-687	23	20	represent	represent	VERB
iajs-687	23	21	the	the	DET
iajs-687	23	22	same	same	ADJ
iajs-687	23	23	plane	plane	NOUN
iajs-687	23	24	if	if	SCONJ
iajs-687	23	25	there	there	PRON
iajs-687	23	26	exists	exist	VERB
iajs-687	23	27			ADJ
iajs-687	23	28	in	in	ADP
iajs-687	23	29	gf(q	gf(q	NOUN
iajs-687	23	30	)	)	PUNCT
iajs-687	23	31	\	\	PUNCT
iajs-687	24	1	{	{	PUNCT
iajs-687	24	2	0	0	NUM
iajs-687	24	3	}	}	PUNCT
iajs-687	24	4	such	such	ADJ
iajs-687	24	5	that	that	SCONJ
iajs-687	24	6	[	[	X
iajs-687	24	7	x1	x1	ADJ
iajs-687	24	8	,	,	PUNCT
iajs-687	24	9	x2	x2	PROPN
iajs-687	24	10	,	,	PUNCT
iajs-687	24	11	x3	x3	PROPN
iajs-687	24	12	,	,	PUNCT
iajs-687	24	13	x4	x4	PROPN
iajs-687	24	14	]	]	X
iajs-687	24	15	=	=	SYM
iajs-687	24	16			X
iajs-687	25	1	[	[	X
iajs-687	25	2	y1	y1	NOUN
iajs-687	25	3	,	,	PUNCT
iajs-687	25	4	y2	y2	PROPN
iajs-687	25	5	,	,	PUNCT
iajs-687	25	6	y3	y3	PROPN
iajs-687	25	7	,	,	PUNCT
iajs-687	25	8	y4	y4	PROPN
iajs-687	25	9	]	]	PUNCT
iajs-687	25	10	,	,	PUNCT
iajs-687	25	11	this	this	PRON
iajs-687	25	12	is	be	AUX
iajs-687	25	13	denoted	denote	VERB
iajs-687	25	14	by	by	ADP
iajs-687	25	15	[	[	X
iajs-687	25	16	x1	x1	PROPN
iajs-687	25	17	,	,	PUNCT
iajs-687	25	18	x2	x2	PROPN
iajs-687	25	19	,	,	PUNCT
iajs-687	25	20	x3	x3	PROPN
iajs-687	25	21	,	,	PUNCT
iajs-687	25	22	x4	x4	PROPN
iajs-687	25	23	]	]	X
iajs-687	25	24			PROPN
iajs-687	25	25	[	[	X
iajs-687	25	26	y1	y1	INTJ
iajs-687	25	27	,	,	PUNCT
iajs-687	25	28	y2	y2	PROPN
iajs-687	25	29	,	,	PUNCT
iajs-687	25	30	y3	y3	PROPN
iajs-687	25	31	,	,	PUNCT
iajs-687	25	32	y4	y4	PROPN
iajs-687	25	33	]	]	X
iajs-687	25	34	..	..	PUNCT
iajs-687	26	1	also	also	ADV
iajs-687	26	2	a	a	DET
iajs-687	26	3	point	point	NOUN
iajs-687	26	4	p(x1	p(x1	NOUN
iajs-687	26	5	,	,	PUNCT
iajs-687	26	6	x2	x2	PROPN
iajs-687	26	7	,	,	PUNCT
iajs-687	26	8	x3	x3	PROPN
iajs-687	26	9	,	,	PUNCT
iajs-687	26	10	x4	x4	PROPN
iajs-687	26	11	)	)	PUNCT
iajs-687	26	12	is	be	AUX
iajs-687	26	13	incident	incident	NOUN
iajs-687	26	14	with	with	ADP
iajs-687	26	15	the	the	DET
iajs-687	26	16	plane	plane	NOUN
iajs-687	26	17			PROPN
iajs-687	27	1	[	[	X
iajs-687	27	2	a1	a1	NOUN
iajs-687	27	3	,	,	PUNCT
iajs-687	27	4	a2	a2	PROPN
iajs-687	27	5	,	,	PUNCT
iajs-687	27	6	a3	a3	NOUN
iajs-687	27	7	,	,	PUNCT
iajs-687	27	8	a4	a4	PROPN
iajs-687	27	9	]	]	PUNCT
iajs-687	27	10	iff	iff	PROPN
iajs-687	27	11	a1	a1	PROPN
iajs-687	27	12	x1	x1	PROPN
iajs-687	28	1	+	+	PROPN
iajs-687	28	2	a2	a2	PROPN
iajs-687	28	3	x2	x2	PROPN
iajs-687	29	1	+	+	NUM
iajs-687	29	2	a3	a3	NOUN
iajs-687	29	3	x3	x3	NOUN
iajs-687	29	4	+	+	CCONJ
iajs-687	29	5	a4	a4	NOUN
iajs-687	29	6	x4	x4	NOUN
iajs-687	29	7	=	=	NOUN
iajs-687	29	8	0	0	X
iajs-687	29	9	.	.	PUNCT
iajs-687	30	1	definition	definition	NOUN
iajs-687	30	2	1.1	1.1	NUM
iajs-687	30	3	:	:	PUNCT
iajs-687	31	1	[	[	X
iajs-687	31	2	2	2	X
iajs-687	31	3	]	]	PUNCT
iajs-687	31	4	a	a	DET
iajs-687	31	5	plane	plane	NOUN
iajs-687	31	6			NOUN
iajs-687	31	7	in	in	ADP
iajs-687	31	8	pg(3,q	pg(3,q	NOUN
iajs-687	31	9	)	)	PUNCT
iajs-687	31	10	is	be	AUX
iajs-687	31	11	the	the	DET
iajs-687	31	12	set	set	NOUN
iajs-687	31	13	of	of	ADP
iajs-687	31	14	all	all	DET
iajs-687	31	15	points	point	NOUN
iajs-687	31	16	p(x1	p(x1	ADJ
iajs-687	31	17	,	,	PUNCT
iajs-687	31	18	x2	x2	PROPN
iajs-687	31	19	,	,	PUNCT
iajs-687	31	20	x3	x3	ADJ
iajs-687	31	21	,	,	PUNCT
iajs-687	31	22	x4	x4	PROPN
iajs-687	31	23	)	)	PUNCT
iajs-687	31	24	satisfying	satisfy	VERB
iajs-687	31	25	a	a	DET
iajs-687	31	26	linear	linear	ADJ
iajs-687	31	27	equation	equation	NOUN
iajs-687	31	28	u1	u1	NOUN
iajs-687	31	29	x1	x1	PROPN
iajs-687	32	1	+	+	CCONJ
iajs-687	32	2	u2	u2	PROPN
iajs-687	32	3	x2	x2	PROPN
iajs-687	32	4	+	+	CCONJ
iajs-687	32	5	u3	u3	NOUN
iajs-687	32	6	x3	x3	VERB
iajs-687	32	7	+	+	CCONJ
iajs-687	32	8	u4	u4	PROPN
iajs-687	32	9	x4	x4	PROPN
iajs-687	33	1	=	=	PROPN
iajs-687	33	2	0	0	PROPN
iajs-687	33	3	.	.	PUNCT
iajs-687	34	1	this	this	DET
iajs-687	34	2	plane	plane	NOUN
iajs-687	34	3	is	be	AUX
iajs-687	34	4	denoted	denote	VERB
iajs-687	34	5	by	by	ADP
iajs-687	34	6			PROPN
iajs-687	34	7	[	[	X
iajs-687	34	8	u1	u1	NOUN
iajs-687	34	9	,	,	PUNCT
iajs-687	34	10	u2	u2	NOUN
iajs-687	34	11	,	,	PUNCT
iajs-687	34	12	u3	u3	PROPN
iajs-687	34	13	,	,	PUNCT
iajs-687	34	14	u4	u4	PROPN
iajs-687	34	15	]	]	X
iajs-687	34	16	.	.	PUNCT
iajs-687	35	1	it	it	PRON
iajs-687	35	2	should	should	AUX
iajs-687	35	3	be	be	AUX
iajs-687	35	4	noted	note	VERB
iajs-687	35	5	that	that	SCONJ
iajs-687	35	6	if	if	SCONJ
iajs-687	35	7	one	one	PRON
iajs-687	35	8	takes	take	VERB
iajs-687	35	9	another	another	DET
iajs-687	35	10	representation	representation	NOUN
iajs-687	35	11	of	of	ADP
iajs-687	35	12	p	p	PRON
iajs-687	35	13	,	,	PUNCT
iajs-687	35	14	say	say	INTJ
iajs-687	35	15	(	(	PUNCT
iajs-687	35	16			X
iajs-687	35	17	x1	x1	PROPN
iajs-687	35	18	,	,	PUNCT
iajs-687	35	19			ADJ
iajs-687	35	20	x2	x2	PROPN
iajs-687	35	21	,	,	PUNCT
iajs-687	35	22			ADJ
iajs-687	35	23	x3	x3	ADJ
iajs-687	35	24	,	,	PUNCT
iajs-687	35	25			ADJ
iajs-687	35	26	x4	x4	PROPN
iajs-687	35	27	)	)	PUNCT
iajs-687	35	28	,	,	PUNCT
iajs-687	35	29	then	then	ADV
iajs-687	35	30	since	since	SCONJ
iajs-687	35	31	u1	u1	PROPN
iajs-687	35	32			ADJ
iajs-687	35	33	x1	x1	PROPN
iajs-687	35	34	+	+	PROPN
iajs-687	35	35	u2	u2	PROPN
iajs-687	35	36			ADJ
iajs-687	35	37	x2	x2	PROPN
iajs-687	35	38	+	+	CCONJ
iajs-687	35	39	u3	u3	PROPN
iajs-687	35	40			ADJ
iajs-687	35	41	x3	x3	PROPN
iajs-687	35	42	+	+	CCONJ
iajs-687	35	43	u4	u4	PROPN
iajs-687	35	44			ADJ
iajs-687	35	45	x4	x4	PROPN
iajs-687	35	46	=	=	PROPN
iajs-687	35	47			X
iajs-687	35	48	(	(	PUNCT
iajs-687	35	49	u1	u1	PROPN
iajs-687	35	50	x1	x1	PROPN
iajs-687	35	51	+	+	CCONJ
iajs-687	35	52	u2	u2	PROPN
iajs-687	35	53	x2	x2	PROPN
iajs-687	35	54	+	+	CCONJ
iajs-687	35	55	u3	u3	NOUN
iajs-687	35	56	x3	x3	VERB
iajs-687	35	57	+	+	CCONJ
iajs-687	35	58	u4	u4	PROPN
iajs-687	35	59	x4	x4	PROPN
iajs-687	35	60	)	)	PUNCT
iajs-687	35	61	,	,	PUNCT
iajs-687	35	62	the	the	DET
iajs-687	35	63	definition	definition	NOUN
iajs-687	35	64	of	of	ADP
iajs-687	35	65	a	a	DET
iajs-687	35	66	plane	plane	NOUN
iajs-687	35	67	is	be	AUX
iajs-687	35	68	independent	independent	ADJ
iajs-687	35	69	of	of	ADP
iajs-687	35	70	the	the	DET
iajs-687	35	71	choice	choice	NOUN
iajs-687	35	72	of	of	ADP
iajs-687	35	73	representations	representation	NOUN
iajs-687	35	74	of	of	ADP
iajs-687	35	75	points	point	NOUN
iajs-687	35	76	on	on	ADP
iajs-687	35	77	it	it	PRON
iajs-687	35	78	.	.	PUNCT
iajs-687	36	1	2principle	2principle	NUM
iajs-687	36	2	of	of	ADP
iajs-687	36	3	duality	duality	NOUN
iajs-687	36	4	definition	definition	NOUN
iajs-687	36	5	2.1	2.1	NUM
iajs-687	36	6	:	:	PUNCT
iajs-687	37	1	[	[	X
iajs-687	37	2	3	3	X
iajs-687	37	3	]	]	PUNCT
iajs-687	37	4	for	for	ADP
iajs-687	37	5	any	any	DET
iajs-687	37	6	s	s	NOUN
iajs-687	37	7	=	=	NOUN
iajs-687	37	8	pg(n	pg(n	NOUN
iajs-687	37	9	,	,	PUNCT
iajs-687	37	10	k	k	NOUN
iajs-687	37	11	)	)	PUNCT
iajs-687	37	12	,	,	PUNCT
iajs-687	37	13	there	there	PRON
iajs-687	37	14	is	be	VERB
iajs-687	37	15	a	a	DET
iajs-687	37	16	dual	dual	ADJ
iajs-687	37	17	space	space	NOUN
iajs-687	37	18	s	s	NOUN
iajs-687	37	19	*	*	NOUN
iajs-687	37	20	,	,	PUNCT
iajs-687	37	21	whose	whose	DET
iajs-687	37	22	points	point	NOUN
iajs-687	37	23	and	and	CCONJ
iajs-687	37	24	primes	prime	NOUN
iajs-687	37	25	(	(	PUNCT
iajs-687	37	26	subspaces	subspace	NOUN
iajs-687	37	27	of	of	ADP
iajs-687	37	28	dimensions	dimension	NOUN
iajs-687	37	29	(	(	PUNCT
iajs-687	37	30	n	n	CCONJ
iajs-687	37	31	–	–	PUNCT
iajs-687	37	32	1	1	NUM
iajs-687	37	33	)	)	PUNCT
iajs-687	37	34	)	)	PUNCT
iajs-687	37	35	are	be	AUX
iajs-687	37	36	respectively	respectively	ADV
iajs-687	37	37	the	the	DET
iajs-687	37	38	primes	prime	NOUN
iajs-687	37	39	and	and	CCONJ
iajs-687	37	40	points	point	NOUN
iajs-687	37	41	of	of	ADP
iajs-687	37	42	s.	s.	PROPN
iajs-687	37	43	for	for	ADP
iajs-687	37	44	any	any	DET
iajs-687	37	45	theorem	theorem	NOUN
iajs-687	37	46	true	true	ADJ
iajs-687	37	47	in	in	ADP
iajs-687	37	48	s	s	PROPN
iajs-687	37	49	,	,	PUNCT
iajs-687	37	50	there	there	PRON
iajs-687	37	51	is	be	VERB
iajs-687	37	52	an	an	DET
iajs-687	37	53	equivalent	equivalent	ADJ
iajs-687	37	54	theorem	theorem	NOUN
iajs-687	37	55	true	true	ADJ
iajs-687	37	56	in	in	ADP
iajs-687	37	57	s	s	PROPN
iajs-687	37	58	*	*	NOUN
iajs-687	37	59	.	.	PUNCT
iajs-687	38	1	in	in	ADP
iajs-687	38	2	particular	particular	ADJ
iajs-687	38	3	,	,	PUNCT
iajs-687	38	4	if	if	SCONJ
iajs-687	38	5	t	t	PROPN
iajs-687	38	6	is	be	AUX
iajs-687	38	7	a	a	DET
iajs-687	38	8	theorem	theorem	NOUN
iajs-687	38	9	in	in	ADP
iajs-687	38	10	s	s	AUX
iajs-687	38	11	stated	state	VERB
iajs-687	38	12	in	in	ADP
iajs-687	38	13	terms	term	NOUN
iajs-687	38	14	of	of	ADP
iajs-687	38	15	points	point	NOUN
iajs-687	38	16	,	,	PUNCT
iajs-687	38	17	primes	prime	NOUN
iajs-687	38	18	and	and	CCONJ
iajs-687	38	19	incidence	incidence	NOUN
iajs-687	38	20	,	,	PUNCT
iajs-687	38	21	the	the	DET
iajs-687	38	22	same	same	ADJ
iajs-687	38	23	theorem	theorem	NOUN
iajs-687	38	24	is	be	AUX
iajs-687	38	25	true	true	ADJ
iajs-687	38	26	in	in	ADP
iajs-687	38	27	s	s	PROPN
iajs-687	38	28	*	*	PUNCT
iajs-687	38	29	and	and	CCONJ
iajs-687	38	30	gives	give	VERB
iajs-687	38	31	a	a	DET
iajs-687	38	32	dual	dual	ADJ
iajs-687	38	33	theorem	theorem	ADJ
iajs-687	38	34	t	t	PROPN
iajs-687	38	35	*	*	PUNCT
iajs-687	38	36	in	in	ADP
iajs-687	38	37	s	s	PRON
iajs-687	38	38	by	by	ADP
iajs-687	38	39	interchanging	interchange	VERB
iajs-687	38	40	"	"	PUNCT
iajs-687	38	41	point	point	NOUN
iajs-687	38	42	"	"	PUNCT
iajs-687	38	43	and	and	CCONJ
iajs-687	38	44	"	"	PUNCT
iajs-687	38	45	prime	prime	ADJ
iajs-687	38	46	"	"	PUNCT
iajs-687	38	47	whenever	whenever	SCONJ
iajs-687	38	48	they	they	PRON
iajs-687	38	49	occur	occur	VERB
iajs-687	38	50	.	.	PUNCT
iajs-687	39	1	in	in	ADP
iajs-687	39	2	pg(3,k	pg(3,k	NOUN
iajs-687	39	3	)	)	PUNCT
iajs-687	39	4	point	point	NOUN
iajs-687	39	5	and	and	CCONJ
iajs-687	39	6	plane	plane	NOUN
iajs-687	39	7	are	be	AUX
iajs-687	39	8	dual	dual	ADJ
iajs-687	39	9	,	,	PUNCT
iajs-687	39	10	where	where	SCONJ
iajs-687	39	11	as	as	ADP
iajs-687	39	12	the	the	DET
iajs-687	39	13	dual	dual	ADJ
iajs-687	39	14	of	of	ADP
iajs-687	39	15	a	a	DET
iajs-687	39	16	line	line	NOUN
iajs-687	39	17	is	be	AUX
iajs-687	39	18	a	a	DET
iajs-687	39	19	line	line	NOUN
iajs-687	39	20	.	.	PUNCT
iajs-687	40	1	theorem	theorem	VERB
iajs-687	40	2	2.2	2.2	NUM
iajs-687	40	3	:	:	PUNCT
iajs-687	40	4	the	the	DET
iajs-687	40	5	points	point	NOUN
iajs-687	40	6	of	of	ADP
iajs-687	40	7	pg(3,q	pg(3,q	NOUN
iajs-687	40	8	)	)	PUNCT
iajs-687	40	9	have	have	VERB
iajs-687	40	10	unique	unique	ADJ
iajs-687	40	11	forms	form	NOUN
iajs-687	40	12	which	which	PRON
iajs-687	40	13	are	be	AUX
iajs-687	40	14	(	(	PUNCT
iajs-687	40	15	1,0,0,0	1,0,0,0	NUM
iajs-687	40	16	)	)	PUNCT
iajs-687	40	17	,	,	PUNCT
iajs-687	40	18	(	(	PUNCT
iajs-687	40	19	x,1,0,0	x,1,0,0	NOUN
iajs-687	40	20	)	)	PUNCT
iajs-687	40	21	,	,	PUNCT
iajs-687	40	22	(	(	PUNCT
iajs-687	40	23	x	x	NOUN
iajs-687	40	24	,	,	PUNCT
iajs-687	40	25	y,1,0	y,1,0	PROPN
iajs-687	40	26	)	)	PUNCT
iajs-687	40	27	,	,	PUNCT
iajs-687	40	28	(	(	PUNCT
iajs-687	40	29	x	x	X
iajs-687	40	30	,	,	PUNCT
iajs-687	40	31	y	y	PROPN
iajs-687	40	32	,	,	PUNCT
iajs-687	40	33	z,1	z,1	NUM
iajs-687	40	34	)	)	PUNCT
iajs-687	40	35	for	for	ADP
iajs-687	40	36	all	all	DET
iajs-687	40	37	x	x	NOUN
iajs-687	40	38	,	,	PUNCT
iajs-687	40	39	y	y	PROPN
iajs-687	40	40	,	,	PUNCT
iajs-687	40	41	z	z	NOUN
iajs-687	40	42	in	in	ADP
iajs-687	40	43	gf(q	gf(q	NOUN
iajs-687	40	44	)	)	PUNCT
iajs-687	40	45	.	.	PUNCT
iajs-687	41	1	proof	proof	NOUN
iajs-687	41	2	:	:	PUNCT
iajs-687	41	3	let	let	VERB
iajs-687	41	4	p(x1	p(x1	ADJ
iajs-687	41	5	,	,	PUNCT
iajs-687	41	6	x2	x2	PROPN
iajs-687	41	7	,	,	PUNCT
iajs-687	41	8	x3	x3	PROPN
iajs-687	41	9	,	,	PUNCT
iajs-687	41	10	x4	x4	PROPN
iajs-687	41	11	)	)	PUNCT
iajs-687	41	12	;	;	PUNCT
iajs-687	41	13	x1	x1	PROPN
iajs-687	41	14	;	;	PUNCT
iajs-687	41	15	x2	x2	PROPN
iajs-687	41	16	,	,	PUNCT
iajs-687	41	17	x3	x3	ADJ
iajs-687	41	18	,	,	PUNCT
iajs-687	41	19	x4gf(q	x4gf(q	PROPN
iajs-687	41	20	)	)	PUNCT
iajs-687	41	21	be	be	VERB
iajs-687	41	22	any	any	DET
iajs-687	41	23	point	point	NOUN
iajs-687	41	24	in	in	ADP
iajs-687	41	25	pg(3,q	pg(3,q	NOUN
iajs-687	41	26	)	)	PUNCT
iajs-687	41	27	,	,	PUNCT
iajs-687	41	28	then	then	ADV
iajs-687	41	29	either	either	CCONJ
iajs-687	41	30	x40	x40	PROPN
iajs-687	41	31	or	or	CCONJ
iajs-687	41	32	x4=0	x4=0	PROPN
iajs-687	41	33	.	.	PUNCT
iajs-687	42	1	if	if	SCONJ
iajs-687	42	2	x4	x4	PROPN
iajs-687	42	3			NOUN
iajs-687	42	4	0	0	NUM
iajs-687	42	5	,	,	PUNCT
iajs-687	42	6	then	then	ADV
iajs-687	42	7	p(x1	p(x1	ADJ
iajs-687	42	8	,	,	PUNCT
iajs-687	42	9	x2	x2	PROPN
iajs-687	42	10	,	,	PUNCT
iajs-687	42	11	x3	x3	PROPN
iajs-687	42	12	,	,	PUNCT
iajs-687	42	13	x4	x4	PROPN
iajs-687	42	14	)	)	PUNCT
iajs-687	42	15			NOUN
iajs-687	42	16	31	31	NUM
iajs-687	42	17	2	2	NUM
iajs-687	42	18	4	4	NUM
iajs-687	42	19	4	4	NUM
iajs-687	42	20	4	4	NUM
iajs-687	42	21	(	(	PUNCT
iajs-687	42	22	,	,	PUNCT
iajs-687	42	23	,	,	PUNCT
iajs-687	42	24	,	,	PUNCT
iajs-687	42	25	1)	1)	NUM
iajs-687	42	26	xx	xx	NUM
iajs-687	42	27	x	x	SYM
iajs-687	42	28	x	x	PUNCT
iajs-687	42	29	x	x	PUNCT
iajs-687	42	30	x	x	X
iajs-687	42	31	,	,	PUNCT
iajs-687	42	32	where	where	SCONJ
iajs-687	42	33	1	1	NUM
iajs-687	42	34	4	4	NUM
iajs-687	42	35			NOUN
iajs-687	42	36	x	x	SYM
iajs-687	43	1	x	x	SYM
iajs-687	43	2	x	x	X
iajs-687	43	3	,	,	PUNCT
iajs-687	43	4	2	2	NUM
iajs-687	43	5	4	4	NUM
iajs-687	43	6			NOUN
iajs-687	43	7	x	x	SYM
iajs-687	43	8	y	y	PROPN
iajs-687	43	9	x	x	X
iajs-687	43	10	,	,	PUNCT
iajs-687	43	11	3	3	NUM
iajs-687	43	12	4	4	NUM
iajs-687	43	13			NOUN
iajs-687	43	14	x	x	NOUN
iajs-687	43	15	z	z	NOUN
iajs-687	43	16	x	x	X
iajs-687	43	17	.	.	PUNCT
iajs-687	44	1	if	if	SCONJ
iajs-687	44	2	x4	x4	PROPN
iajs-687	44	3	=	=	SYM
iajs-687	44	4	0	0	PROPN
iajs-687	44	5	,	,	PUNCT
iajs-687	44	6	then	then	ADV
iajs-687	44	7	either	either	CCONJ
iajs-687	44	8	x3	x3	PROPN
iajs-687	44	9			NOUN
iajs-687	44	10	0	0	NUM
iajs-687	44	11	or	or	CCONJ
iajs-687	44	12	x3	x3	ADJ
iajs-687	44	13	=	=	SYM
iajs-687	44	14	0	0	X
iajs-687	44	15	.	.	PUNCT
iajs-687	45	1	if	if	SCONJ
iajs-687	45	2	x3	x3	PROPN
iajs-687	45	3			NOUN
iajs-687	45	4	0	0	NUM
iajs-687	45	5	,	,	PUNCT
iajs-687	45	6	then	then	ADV
iajs-687	45	7	p(x1	p(x1	ADJ
iajs-687	45	8	,	,	PUNCT
iajs-687	45	9	x2	x2	PROPN
iajs-687	45	10	,	,	PUNCT
iajs-687	45	11	x3	x3	ADJ
iajs-687	45	12	,	,	PUNCT
iajs-687	45	13	0	0	NUM
iajs-687	45	14	)	)	PUNCT
iajs-687	45	15			NOUN
iajs-687	45	16	1	1	NUM
iajs-687	45	17	2	2	NUM
iajs-687	45	18	3	3	NUM
iajs-687	45	19	3	3	NUM
iajs-687	45	20	(	(	PUNCT
iajs-687	45	21	,	,	PUNCT
iajs-687	45	22	,	,	PUNCT
iajs-687	45	23	1,0)	1,0)	NUM
iajs-687	45	24	x	x	SYM
iajs-687	45	25	x	x	PUNCT
iajs-687	45	26	x	x	PUNCT
iajs-687	45	27	x	x	X
iajs-687	45	28	,	,	PUNCT
iajs-687	45	29	where	where	SCONJ
iajs-687	45	30	1	1	NUM
iajs-687	45	31	3	3	NUM
iajs-687	45	32			NOUN
iajs-687	45	33	x	x	SYM
iajs-687	45	34	x	x	SYM
iajs-687	45	35	x	x	X
iajs-687	45	36	,	,	PUNCT
iajs-687	45	37	2	2	NUM
iajs-687	45	38	3	3	NUM
iajs-687	45	39			NOUN
iajs-687	45	40	x	x	SYM
iajs-687	45	41	y	y	NOUN
iajs-687	45	42	x	x	INTJ
iajs-687	45	43	.	.	PUNCT
iajs-687	46	1	if	if	SCONJ
iajs-687	46	2	x3	x3	VERB
iajs-687	46	3	=	=	SYM
iajs-687	46	4	0	0	NUM
iajs-687	46	5	,	,	PUNCT
iajs-687	46	6	then	then	ADV
iajs-687	46	7	either	either	CCONJ
iajs-687	46	8	x2	x2	PROPN
iajs-687	46	9			PROPN
iajs-687	46	10	0	0	NUM
iajs-687	46	11	or	or	CCONJ
iajs-687	46	12	x2	x2	NOUN
iajs-687	46	13	=	=	NOUN
iajs-687	46	14	0	0	X
iajs-687	46	15	.	.	PUNCT
iajs-687	47	1	if	if	SCONJ
iajs-687	47	2	x2	x2	PROPN
iajs-687	47	3			NOUN
iajs-687	47	4	0	0	NUM
iajs-687	47	5	,	,	PUNCT
iajs-687	47	6	then	then	ADV
iajs-687	47	7	p(x1	p(x1	ADJ
iajs-687	47	8	,	,	PUNCT
iajs-687	47	9	x2	x2	PROPN
iajs-687	47	10	,	,	PUNCT
iajs-687	47	11	0	0	NUM
iajs-687	47	12	,	,	PUNCT
iajs-687	47	13	0	0	NUM
iajs-687	47	14	)	)	PUNCT
iajs-687	47	15			NOUN
iajs-687	47	16	1	1	NUM
iajs-687	47	17	2	2	NUM
iajs-687	47	18	(	(	PUNCT
iajs-687	47	19	,	,	PUNCT
iajs-687	47	20	1,0,0)	1,0,0)	NUM
iajs-687	47	21	x	x	SYM
iajs-687	47	22	x	x	SYM
iajs-687	47	23	=	=	SYM
iajs-687	47	24	p(x	p(x	PROPN
iajs-687	47	25	,	,	PUNCT
iajs-687	47	26	1	1	NUM
iajs-687	47	27	,	,	PUNCT
iajs-687	47	28	0	0	NUM
iajs-687	47	29	,	,	PUNCT
iajs-687	47	30	0	0	NUM
iajs-687	47	31	)	)	PUNCT
iajs-687	47	32	,	,	PUNCT
iajs-687	47	33	where	where	SCONJ
iajs-687	47	34	1	1	NUM
iajs-687	47	35	2	2	NUM
iajs-687	47	36			NOUN
iajs-687	47	37	x	x	NOUN
iajs-687	47	38	x	x	SYM
iajs-687	47	39	x	x	X
iajs-687	47	40	.	.	PUNCT
iajs-687	48	1	مجلة	مجلة	PROPN
iajs-687	48	2	إبن	إبن	VERB
iajs-687	48	3	الھیثم	الھیثم	NOUN
iajs-687	48	4	للعلوم	للعلوم	NOUN
iajs-687	48	5	الصرفة	الصرفة	NOUN
iajs-687	48	6	و	و	PRON
iajs-687	48	7	التطبیقیة	التطبیقیة	PROPN
iajs-687	48	8	2012	2012	NUM
iajs-687	48	9	السنة	السنة	NOUN
iajs-687	49	1	25	25	NUM
iajs-687	49	2	المجلد	المجلد	NOUN
iajs-687	49	3	1	1	NUM
iajs-687	49	4	العدد	العدد	PROPN
iajs-687	49	5	ibn	ibn	PROPN
iajs-687	49	6	al	al	PROPN
iajs-687	49	7	-	-	PUNCT
iajs-687	49	8	haitham	haitham	PROPN
iajs-687	49	9	journal	journal	PROPN
iajs-687	49	10	for	for	ADP
iajs-687	49	11	pure	pure	ADJ
iajs-687	49	12	and	and	CCONJ
iajs-687	49	13	applied	apply	VERB
iajs-687	49	14	science	science	NOUN
iajs-687	49	15	no	no	NOUN
iajs-687	49	16	.	.	NOUN
iajs-687	49	17	1	1	NUM
iajs-687	49	18	vol	vol	NOUN
iajs-687	49	19	.	.	PUNCT
iajs-687	50	1	25	25	NUM
iajs-687	50	2	year	year	NOUN
iajs-687	50	3	2012	2012	NUM
iajs-687	50	4	if	if	SCONJ
iajs-687	50	5	x2	x2	PROPN
iajs-687	50	6	=	=	SYM
iajs-687	50	7	0	0	NUM
iajs-687	50	8	,	,	PUNCT
iajs-687	50	9	then	then	ADV
iajs-687	50	10	x1	x1	PROPN
iajs-687	50	11			NOUN
iajs-687	50	12	0	0	NUM
iajs-687	50	13	and	and	CCONJ
iajs-687	50	14	p(x1	p(x1	ADJ
iajs-687	50	15	,	,	PUNCT
iajs-687	50	16	0	0	NUM
iajs-687	50	17	,	,	PUNCT
iajs-687	50	18	0	0	NUM
iajs-687	50	19	,	,	PUNCT
iajs-687	50	20	0	0	NUM
iajs-687	50	21	)	)	PUNCT
iajs-687	50	22			NOUN
iajs-687	50	23	1	1	NUM
iajs-687	50	24	1	1	NUM
iajs-687	50	25	(	(	PUNCT
iajs-687	50	26	,	,	PUNCT
iajs-687	50	27	0,0	0,0	NOUN
iajs-687	50	28	,	,	PUNCT
iajs-687	50	29	0)	0)	NUM
iajs-687	50	30	x	x	SYM
iajs-687	50	31	x	x	X
iajs-687	50	32	=	=	SYM
iajs-687	50	33	p(1	p(1	PROPN
iajs-687	50	34	,	,	PUNCT
iajs-687	50	35	0	0	NUM
iajs-687	50	36	,	,	PUNCT
iajs-687	50	37	0	0	NUM
iajs-687	50	38	,	,	PUNCT
iajs-687	50	39	0	0	NUM
iajs-687	50	40	)	)	PUNCT
iajs-687	50	41	.	.	PUNCT
iajs-687	51	1	similarly	similarly	ADV
iajs-687	51	2	,	,	PUNCT
iajs-687	51	3	one	one	PRON
iajs-687	51	4	can	can	AUX
iajs-687	51	5	prove	prove	VERB
iajs-687	51	6	the	the	DET
iajs-687	51	7	dual	dual	ADJ
iajs-687	51	8	of	of	ADP
iajs-687	51	9	theorem	theorem	ADJ
iajs-687	51	10	1	1	NUM
iajs-687	51	11	.	.	PUNCT
iajs-687	51	12	theorem	theorem	VERB
iajs-687	51	13	2.3	2.3	NUM
iajs-687	51	14	:	:	PUNCT
iajs-687	51	15	the	the	DET
iajs-687	51	16	planes	plane	NOUN
iajs-687	51	17	of	of	ADP
iajs-687	51	18	pg(3,q	pg(3,q	NOUN
iajs-687	51	19	)	)	PUNCT
iajs-687	51	20	have	have	VERB
iajs-687	51	21	unique	unique	ADJ
iajs-687	51	22	forms	form	NOUN
iajs-687	51	23	which	which	PRON
iajs-687	51	24	are	be	AUX
iajs-687	51	25	[	[	X
iajs-687	51	26	1,0,0,0	1,0,0,0	NUM
iajs-687	51	27	]	]	PUNCT
iajs-687	51	28	,	,	PUNCT
iajs-687	51	29	[	[	X
iajs-687	51	30	x,1,0,0	x,1,0,0	NOUN
iajs-687	51	31	]	]	X
iajs-687	51	32	,	,	PUNCT
iajs-687	51	33	[	[	X
iajs-687	51	34	x	x	X
iajs-687	51	35	,	,	PUNCT
iajs-687	51	36	y,1,0	y,1,0	PROPN
iajs-687	51	37	]	]	PUNCT
iajs-687	51	38	,	,	PUNCT
iajs-687	51	39	[	[	X
iajs-687	51	40	x	x	X
iajs-687	51	41	,	,	PUNCT
iajs-687	51	42	y	y	PROPN
iajs-687	51	43	,	,	PUNCT
iajs-687	51	44	z,1	z,1	NUM
iajs-687	51	45	]	]	PUNCT
iajs-687	51	46	for	for	ADP
iajs-687	51	47	all	all	DET
iajs-687	51	48	x	x	PROPN
iajs-687	51	49	,	,	PUNCT
iajs-687	51	50	y	y	PROPN
iajs-687	51	51	,	,	PUNCT
iajs-687	51	52	z	z	NOUN
iajs-687	51	53	in	in	ADP
iajs-687	51	54	gf(q	gf(q	NOUN
iajs-687	51	55	)	)	PUNCT
iajs-687	51	56	.	.	PUNCT
iajs-687	52	1	theorem	theorem	VERB
iajs-687	52	2	2.4	2.4	NUM
iajs-687	52	3	:	:	PUNCT
iajs-687	53	1	[	[	X
iajs-687	53	2	1	1	X
iajs-687	53	3	]	]	PUNCT
iajs-687	53	4	every	every	DET
iajs-687	53	5	line	line	NOUN
iajs-687	53	6	in	in	ADP
iajs-687	53	7	pg(3,q	pg(3,q	NOUN
iajs-687	53	8	)	)	PUNCT
iajs-687	53	9	contains	contain	VERB
iajs-687	53	10	exactly	exactly	ADV
iajs-687	53	11	q	q	PUNCT
iajs-687	53	12	+	+	CCONJ
iajs-687	53	13	1	1	NUM
iajs-687	53	14	points	point	NOUN
iajs-687	53	15	.	.	PUNCT
iajs-687	54	1	theorem	theorem	VERB
iajs-687	54	2	2.5	2.5	NUM
iajs-687	54	3	:	:	PUNCT
iajs-687	55	1	[	[	X
iajs-687	55	2	1	1	X
iajs-687	55	3	]	]	PUNCT
iajs-687	55	4	every	every	DET
iajs-687	55	5	point	point	NOUN
iajs-687	55	6	in	in	ADP
iajs-687	55	7	pg(3,q	pg(3,q	NOUN
iajs-687	55	8	)	)	PUNCT
iajs-687	55	9	is	be	AUX
iajs-687	55	10	on	on	ADP
iajs-687	55	11	exactly	exactly	ADV
iajs-687	55	12	q	q	ADJ
iajs-687	55	13	+	+	CCONJ
iajs-687	55	14	1	1	NUM
iajs-687	55	15	lines	line	NOUN
iajs-687	55	16	.	.	PUNCT
iajs-687	56	1	theorem	theorem	VERB
iajs-687	56	2	2.6	2.6	NUM
iajs-687	56	3	:	:	PUNCT
iajs-687	57	1	[	[	X
iajs-687	57	2	1	1	X
iajs-687	57	3	]	]	PUNCT
iajs-687	57	4	every	every	DET
iajs-687	57	5	plane	plane	NOUN
iajs-687	57	6	in	in	ADP
iajs-687	57	7	pg(3,q	pg(3,q	NOUN
iajs-687	57	8	)	)	PUNCT
iajs-687	57	9	contains	contain	VERB
iajs-687	57	10	exactly	exactly	ADV
iajs-687	57	11	q	q	ADJ
iajs-687	57	12	2	2	NUM
iajs-687	57	13	+	+	CCONJ
iajs-687	57	14	q	q	NOUN
iajs-687	58	1	+	+	CCONJ
iajs-687	58	2	1	1	NUM
iajs-687	58	3	points	point	NOUN
iajs-687	58	4	(	(	PUNCT
iajs-687	58	5	lines	line	NOUN
iajs-687	58	6	)	)	PUNCT
iajs-687	58	7	.	.	PUNCT
iajs-687	59	1	theorem	theorem	VERB
iajs-687	59	2	2.7	2.7	NUM
iajs-687	59	3	:	:	PUNCT
iajs-687	60	1	[	[	X
iajs-687	60	2	1	1	X
iajs-687	60	3	]	]	PUNCT
iajs-687	60	4	every	every	DET
iajs-687	60	5	point	point	NOUN
iajs-687	60	6	in	in	ADP
iajs-687	60	7	pg(3,q	pg(3,q	NOUN
iajs-687	60	8	)	)	PUNCT
iajs-687	60	9	is	be	AUX
iajs-687	60	10	on	on	ADP
iajs-687	60	11	exactly	exactly	ADV
iajs-687	60	12	q	q	ADJ
iajs-687	60	13	2	2	NUM
iajs-687	60	14	+	+	NOUN
iajs-687	60	15	q	q	NOUN
iajs-687	60	16	+	+	NUM
iajs-687	60	17	1	1	NUM
iajs-687	60	18	p	p	NOUN
iajs-687	60	19	lanes	lane	NOUN
iajs-687	60	20	.	.	PUNCT
iajs-687	61	1	theorem	theorem	VERB
iajs-687	61	2	2.8	2.8	NUM
iajs-687	61	3	:	:	PUNCT
iajs-687	61	4	there	there	PRON
iajs-687	61	5	exist	exist	VERB
iajs-687	61	6	q	q	PROPN
iajs-687	61	7	3	3	NUM
iajs-687	61	8	+	+	CCONJ
iajs-687	61	9	q	q	PROPN
iajs-687	61	10	2	2	NUM
iajs-687	61	11	+	+	CCONJ
iajs-687	61	12	q	q	NOUN
iajs-687	62	1	+	+	CCONJ
iajs-687	62	2	1	1	NUM
iajs-687	62	3	points	point	NOUN
iajs-687	62	4	in	in	ADP
iajs-687	62	5	pg(3,q	pg(3,q	NOUN
iajs-687	62	6	)	)	PUNCT
iajs-687	62	7	.	.	PUNCT
iajs-687	63	1	proof	proof	NOUN
iajs-687	63	2	:	:	PUNCT
iajs-687	63	3	from	from	ADP
iajs-687	63	4	theorem	theorem	NOUN
iajs-687	63	5	1	1	NUM
iajs-687	63	6	,	,	PUNCT
iajs-687	63	7	the	the	DET
iajs-687	63	8	points	point	NOUN
iajs-687	63	9	of	of	ADP
iajs-687	63	10	pg(3,9	pg(3,9	NOUN
iajs-687	63	11	)	)	PUNCT
iajs-687	63	12	have	have	VERB
iajs-687	63	13	unique	unique	ADJ
iajs-687	63	14	forms	form	NOUN
iajs-687	63	15	which	which	PRON
iajs-687	63	16	are	be	AUX
iajs-687	63	17	(	(	PUNCT
iajs-687	63	18	1,0,0,0	1,0,0,0	NUM
iajs-687	63	19	)	)	PUNCT
iajs-687	63	20	,	,	PUNCT
iajs-687	63	21	(	(	PUNCT
iajs-687	63	22	x,1,0,0	x,1,0,0	NOUN
iajs-687	63	23	)	)	PUNCT
iajs-687	63	24	,	,	PUNCT
iajs-687	63	25	(	(	PUNCT
iajs-687	63	26	x	x	NOUN
iajs-687	63	27	,	,	PUNCT
iajs-687	63	28	y,1,0	y,1,0	PROPN
iajs-687	63	29	)	)	PUNCT
iajs-687	63	30	,	,	PUNCT
iajs-687	63	31	(	(	PUNCT
iajs-687	63	32	x	x	X
iajs-687	63	33	,	,	PUNCT
iajs-687	63	34	y	y	PROPN
iajs-687	63	35	,	,	PUNCT
iajs-687	63	36	z,1	z,1	NUM
iajs-687	63	37	)	)	PUNCT
iajs-687	63	38	for	for	ADP
iajs-687	63	39	all	all	DET
iajs-687	63	40	x	x	NOUN
iajs-687	63	41	,	,	PUNCT
iajs-687	63	42	y	y	PROPN
iajs-687	63	43	,	,	PUNCT
iajs-687	63	44	z	z	NOUN
iajs-687	63	45	in	in	ADP
iajs-687	63	46	gf(q	gf(q	NOUN
iajs-687	63	47	)	)	PUNCT
iajs-687	63	48	.	.	PUNCT
iajs-687	64	1	it	it	PRON
iajs-687	64	2	is	be	AUX
iajs-687	64	3	clear	clear	ADJ
iajs-687	64	4	that	that	SCONJ
iajs-687	64	5	there	there	PRON
iajs-687	64	6	exists	exist	VERB
iajs-687	64	7	one	one	NUM
iajs-687	64	8	point	point	NOUN
iajs-687	64	9	of	of	ADP
iajs-687	64	10	the	the	DET
iajs-687	64	11	form	form	NOUN
iajs-687	64	12	(	(	PUNCT
iajs-687	64	13	1,0,0,0	1,0,0,0	NUM
iajs-687	64	14	)	)	PUNCT
iajs-687	64	15	.	.	PUNCT
iajs-687	65	1	there	there	PRON
iajs-687	65	2	exist	exist	VERB
iajs-687	65	3	q	q	ADJ
iajs-687	65	4	points	point	NOUN
iajs-687	65	5	of	of	ADP
iajs-687	65	6	the	the	DET
iajs-687	65	7	form	form	NOUN
iajs-687	65	8	(	(	PUNCT
iajs-687	65	9	x,1,0,0	x,1,0,0	NOUN
iajs-687	65	10	)	)	PUNCT
iajs-687	65	11	.	.	PUNCT
iajs-687	66	1	there	there	PRON
iajs-687	66	2	exist	exist	VERB
iajs-687	66	3	q	q	ADJ
iajs-687	66	4	2	2	NUM
iajs-687	66	5	points	point	NOUN
iajs-687	66	6	of	of	ADP
iajs-687	66	7	the	the	DET
iajs-687	66	8	form	form	NOUN
iajs-687	66	9	(	(	PUNCT
iajs-687	66	10	x	x	X
iajs-687	66	11	,	,	PUNCT
iajs-687	66	12	y,1,0	y,1,0	PROPN
iajs-687	66	13	)	)	PUNCT
iajs-687	66	14	.	.	PUNCT
iajs-687	67	1	there	there	PRON
iajs-687	67	2	exist	exist	VERB
iajs-687	67	3	q	q	NUM
iajs-687	67	4	3	3	NUM
iajs-687	67	5	points	point	NOUN
iajs-687	67	6	of	of	ADP
iajs-687	67	7	the	the	DET
iajs-687	67	8	form	form	NOUN
iajs-687	67	9	(	(	PUNCT
iajs-687	67	10	x	x	X
iajs-687	67	11	,	,	PUNCT
iajs-687	67	12	y	y	PROPN
iajs-687	67	13	,	,	PUNCT
iajs-687	67	14	z,1	z,1	NUM
iajs-687	67	15	)	)	PUNCT
iajs-687	67	16	.	.	PUNCT
iajs-687	68	1	similarly	similarly	ADV
iajs-687	68	2	,	,	PUNCT
iajs-687	68	3	one	one	PRON
iajs-687	68	4	can	can	AUX
iajs-687	68	5	prove	prove	VERB
iajs-687	68	6	the	the	DET
iajs-687	68	7	dual	dual	ADJ
iajs-687	68	8	of	of	ADP
iajs-687	68	9	theorem	theorem	ADJ
iajs-687	68	10	2.8	2.8	NUM
iajs-687	68	11	.	.	PUNCT
iajs-687	68	12	theorem	theorem	VERB
iajs-687	68	13	2.9	2.9	NUM
iajs-687	68	14	:	:	PUNCT
iajs-687	68	15	there	there	PRON
iajs-687	68	16	exist	exist	VERB
iajs-687	68	17	q	q	PROPN
iajs-687	68	18	3	3	NUM
iajs-687	68	19	+	+	CCONJ
iajs-687	68	20	q	q	PROPN
iajs-687	68	21	2	2	NUM
iajs-687	68	22	+	+	NOUN
iajs-687	68	23	q	q	NOUN
iajs-687	69	1	+	+	NUM
iajs-687	69	2	1	1	NUM
iajs-687	69	3	p	p	NOUN
iajs-687	69	4	lanes	lane	NOUN
iajs-687	69	5	in	in	ADP
iajs-687	69	6	pg(3,q	pg(3,q	NOUN
iajs-687	69	7	)	)	PUNCT
iajs-687	69	8	.	.	PUNCT
iajs-687	70	1	theorem	theorem	VERB
iajs-687	70	2	2.10	2.10	NUM
iajs-687	70	3	:	:	PUNCT
iajs-687	70	4	any	any	DET
iajs-687	70	5	two	two	NUM
iajs-687	70	6	p	p	NOUN
iajs-687	70	7	lanes	lane	NOUN
iajs-687	70	8	in	in	ADP
iajs-687	70	9	pg(3,q	pg(3,q	NOUN
iajs-687	70	10	)	)	PUNCT
iajs-687	70	11	intersect	intersect	NOUN
iajs-687	70	12	in	in	ADP
iajs-687	70	13	exactly	exactly	ADV
iajs-687	70	14	q	q	ADJ
iajs-687	70	15	+	+	CCONJ
iajs-687	70	16	1	1	NUM
iajs-687	70	17	points	point	NOUN
iajs-687	70	18	.	.	PUNCT
iajs-687	71	1	proof	proof	NOUN
iajs-687	71	2	:	:	PUNCT
iajs-687	71	3	by	by	ADP
iajs-687	71	4	axiom	axiom	NOUN
iajs-687	71	5	e	e	NOUN
iajs-687	71	6	,	,	PUNCT
iajs-687	71	7	since	since	SCONJ
iajs-687	71	8	any	any	DET
iajs-687	71	9	two	two	NUM
iajs-687	71	10	planes	plane	NOUN
iajs-687	71	11	intersect	intersect	ADJ
iajs-687	71	12	in	in	ADP
iajs-687	71	13	a	a	DET
iajs-687	71	14	unique	unique	ADJ
iajs-687	71	15	line	line	NOUN
iajs-687	71	16	and	and	CCONJ
iajs-687	71	17	each	each	DET
iajs-687	71	18	line	line	NOUN
iajs-687	71	19	in	in	ADP
iajs-687	71	20	pg(3,q	pg(3,q	NOUN
iajs-687	71	21	)	)	PUNCT
iajs-687	71	22	contains	contain	VERB
iajs-687	71	23	exactly	exactly	ADV
iajs-687	71	24	q	q	PUNCT
iajs-687	71	25	+	+	CCONJ
iajs-687	71	26	1	1	NUM
iajs-687	71	27	points	point	NOUN
iajs-687	71	28	,	,	PUNCT
iajs-687	71	29	then	then	ADV
iajs-687	71	30	any	any	DET
iajs-687	71	31	two	two	NUM
iajs-687	71	32	p	p	NOUN
iajs-687	71	33	lanes	lane	NOUN
iajs-687	71	34	intersect	intersect	ADJ
iajs-687	71	35	in	in	ADP
iajs-687	71	36	exactly	exactly	ADV
iajs-687	71	37	q	q	ADJ
iajs-687	71	38	+	+	CCONJ
iajs-687	71	39	1	1	NUM
iajs-687	71	40	points	point	NOUN
iajs-687	71	41	.	.	PUNCT
iajs-687	72	1	theorem	theorem	VERB
iajs-687	72	2	2.11	2.11	NUM
iajs-687	72	3	:	:	PUNCT
iajs-687	72	4	مجلة	مجلة	NOUN
iajs-687	72	5	إبن	إبن	VERB
iajs-687	72	6	الھیثم	الھیثم	NOUN
iajs-687	72	7	للعلوم	للعلوم	NOUN
iajs-687	72	8	الصرفة	الصرفة	NOUN
iajs-687	72	9	و	و	PRON
iajs-687	72	10	التطبیقیة	التطبیقیة	PROPN
iajs-687	72	11	2012	2012	NUM
iajs-687	72	12	السنة	السنة	NOUN
iajs-687	72	13	25	25	NUM
iajs-687	72	14	المجلد	المجلد	NOUN
iajs-687	72	15	1	1	NUM
iajs-687	72	16	العدد	العدد	PROPN
iajs-687	72	17	ibn	ibn	PROPN
iajs-687	72	18	al	al	PROPN
iajs-687	72	19	-	-	PUNCT
iajs-687	72	20	haitham	haitham	PROPN
iajs-687	72	21	journal	journal	PROPN
iajs-687	72	22	for	for	ADP
iajs-687	72	23	pure	pure	ADJ
iajs-687	72	24	and	and	CCONJ
iajs-687	72	25	applied	apply	VERB
iajs-687	72	26	science	science	NOUN
iajs-687	72	27	no	no	NOUN
iajs-687	72	28	.	.	NOUN
iajs-687	72	29	1	1	NUM
iajs-687	72	30	vol	vol	NOUN
iajs-687	72	31	.	.	PUNCT
iajs-687	73	1	25	25	NUM
iajs-687	73	2	year	year	NOUN
iajs-687	73	3	2012	2012	NUM
iajs-687	73	4	any	any	DET
iajs-687	73	5	line	line	NOUN
iajs-687	73	6	in	in	ADP
iajs-687	73	7	pg(3,q	pg(3,q	NOUN
iajs-687	73	8	)	)	PUNCT
iajs-687	73	9	is	be	AUX
iajs-687	73	10	on	on	ADP
iajs-687	73	11	exactly	exactly	ADV
iajs-687	73	12	q	q	ADJ
iajs-687	73	13	+1	+1	ADJ
iajs-687	73	14	planes	plane	NOUN
iajs-687	73	15	.	.	PUNCT
iajs-687	74	1	proof	proof	NOUN
iajs-687	74	2	:	:	PUNCT
iajs-687	74	3	let	let	VERB
iajs-687	74	4	l	l	NOUN
iajs-687	74	5	be	be	AUX
iajs-687	74	6	any	any	DET
iajs-687	74	7	line	line	NOUN
iajs-687	74	8	in	in	ADP
iajs-687	74	9	pg(3,q	pg(3,q	NOUN
iajs-687	74	10	)	)	PUNCT
iajs-687	74	11	and	and	CCONJ
iajs-687	74	12	m	m	AUX
iajs-687	74	13	be	be	AUX
iajs-687	74	14	another	another	DET
iajs-687	74	15	line	line	NOUN
iajs-687	74	16	in	in	ADP
iajs-687	74	17	pg(3,q	pg(3,q	NOUN
iajs-687	74	18	)	)	PUNCT
iajs-687	74	19	not	not	PART
iajs-687	74	20	coplanar	coplanar	ADJ
iajs-687	74	21	with	with	ADP
iajs-687	74	22	l	l	NOUN
iajs-687	74	23	.	.	PUNCT
iajs-687	75	1	m	m	PROPN
iajs-687	75	2	contains	contain	VERB
iajs-687	75	3	exactly	exactly	ADV
iajs-687	75	4	q	q	PUNCT
iajs-687	75	5	+	+	CCONJ
iajs-687	75	6	1	1	NUM
iajs-687	75	7	points	point	NOUN
iajs-687	75	8	.	.	PUNCT
iajs-687	76	1	by	by	ADP
iajs-687	76	2	axiom	axiom	NOUN
iajs-687	76	3	b	b	PROPN
iajs-687	76	4	,	,	PUNCT
iajs-687	76	5	l	l	NOUN
iajs-687	76	6	determines	determine	VERB
iajs-687	76	7	a	a	DET
iajs-687	76	8	unique	unique	ADJ
iajs-687	76	9	plane	plane	NOUN
iajs-687	76	10	with	with	ADP
iajs-687	76	11	any	any	DET
iajs-687	76	12	point	point	NOUN
iajs-687	76	13	of	of	ADP
iajs-687	76	14	m.	m.	NOUN
iajs-687	76	15	hence	hence	ADV
iajs-687	76	16	there	there	ADV
iajs-687	76	17	exist	exist	VERB
iajs-687	76	18	q	q	ADJ
iajs-687	77	1	+	+	CCONJ
iajs-687	77	2	1	1	NUM
iajs-687	77	3	planes	plane	NOUN
iajs-687	77	4	through	through	ADP
iajs-687	77	5	l	l	NOUN
iajs-687	77	6	.	.	PUNCT
iajs-687	78	1	if	if	SCONJ
iajs-687	78	2	there	there	PRON
iajs-687	78	3	exists	exist	VERB
iajs-687	78	4	another	another	DET
iajs-687	78	5	plane	plane	NOUN
iajs-687	78	6	through	through	ADP
iajs-687	78	7	l	l	NOUN
iajs-687	78	8	,	,	PUNCT
iajs-687	78	9	then	then	ADV
iajs-687	78	10	this	this	DET
iajs-687	78	11	plane	plane	NOUN
iajs-687	78	12	intersects	intersect	VERB
iajs-687	78	13	m	m	VERB
iajs-687	78	14	in	in	ADP
iajs-687	78	15	another	another	DET
iajs-687	78	16	point	point	NOUN
iajs-687	78	17	which	which	PRON
iajs-687	78	18	is	be	AUX
iajs-687	78	19	a	a	DET
iajs-687	78	20	contradiction	contradiction	NOUN
iajs-687	78	21	.	.	PUNCT
iajs-687	79	1	hence	hence	ADV
iajs-687	79	2	l	l	NOUN
iajs-687	79	3	is	be	AUX
iajs-687	79	4	on	on	ADP
iajs-687	79	5	exactly	exactly	ADV
iajs-687	79	6	q	q	ADJ
iajs-687	79	7	+	+	CCONJ
iajs-687	79	8	1	1	NUM
iajs-687	79	9	planes	plane	NOUN
iajs-687	79	10	.	.	PUNCT
iajs-687	80	1	theorem	theorem	VERB
iajs-687	80	2	2.12	2.12	NUM
iajs-687	80	3	:	:	PUNCT
iajs-687	80	4	any	any	DET
iajs-687	80	5	two	two	NUM
iajs-687	80	6	points	point	NOUN
iajs-687	80	7	in	in	ADP
iajs-687	80	8	pg(3,q	pg(3,q	NOUN
iajs-687	80	9	)	)	PUNCT
iajs-687	80	10	are	be	AUX
iajs-687	80	11	on	on	ADP
iajs-687	80	12	exactly	exactly	ADV
iajs-687	80	13	q	q	ADJ
iajs-687	80	14	+	+	CCONJ
iajs-687	80	15	1	1	NUM
iajs-687	80	16	planes	plane	NOUN
iajs-687	80	17	.	.	PUNCT
iajs-687	81	1	proof	proof	NOUN
iajs-687	81	2	:	:	PUNCT
iajs-687	81	3	since	since	SCONJ
iajs-687	81	4	any	any	DET
iajs-687	81	5	two	two	NUM
iajs-687	81	6	points	point	NOUN
iajs-687	81	7	determine	determine	VERB
iajs-687	81	8	a	a	DET
iajs-687	81	9	unique	unique	ADJ
iajs-687	81	10	line	line	NOUN
iajs-687	81	11	and	and	CCONJ
iajs-687	81	12	by	by	ADP
iajs-687	81	13	theorem	theorem	NOUN
iajs-687	81	14	10	10	NUM
iajs-687	81	15	,	,	PUNCT
iajs-687	81	16	then	then	ADV
iajs-687	81	17	every	every	DET
iajs-687	81	18	line	line	NOUN
iajs-687	81	19	is	be	AUX
iajs-687	81	20	on	on	ADP
iajs-687	81	21	exactly	exactly	ADV
iajs-687	81	22	q	q	ADJ
iajs-687	81	23	+	+	CCONJ
iajs-687	81	24	1	1	NUM
iajs-687	81	25	planes	plane	NOUN
iajs-687	81	26	.	.	PUNCT
iajs-687	82	1	theorem	theorem	NOUN
iajs-687	82	2	2.13	2.13	NUM
iajs-687	82	3	:	:	PUNCT
iajs-687	82	4	there	there	PRON
iajs-687	82	5	exist	exist	VERB
iajs-687	82	6	(	(	PUNCT
iajs-687	82	7	q	q	NOUN
iajs-687	82	8	2	2	NUM
iajs-687	82	9	+	+	NUM
iajs-687	82	10	1	1	NUM
iajs-687	82	11	)	)	PUNCT
iajs-687	82	12	(	(	PUNCT
iajs-687	82	13	q	q	NOUN
iajs-687	82	14	2	2	NUM
iajs-687	82	15	+	+	NOUN
iajs-687	82	16	q	q	NOUN
iajs-687	82	17	+	+	NUM
iajs-687	82	18	1	1	X
iajs-687	82	19	)	)	PUNCT
iajs-687	82	20	lines	line	NOUN
iajs-687	82	21	in	in	ADP
iajs-687	82	22	pg(3,q	pg(3,q	NOUN
iajs-687	82	23	)	)	PUNCT
iajs-687	82	24	.	.	PUNCT
iajs-687	83	1	proof	proof	NOUN
iajs-687	83	2	:	:	PUNCT
iajs-687	83	3	in	in	ADP
iajs-687	83	4	pg(3,q	pg(3,q	NOUN
iajs-687	83	5	)	)	PUNCT
iajs-687	83	6	,	,	PUNCT
iajs-687	83	7	there	there	PRON
iajs-687	83	8	exist	exist	VERB
iajs-687	83	9	q	q	PROPN
iajs-687	83	10	3	3	NUM
iajs-687	83	11	+	+	CCONJ
iajs-687	83	12	q	q	PROPN
iajs-687	83	13	2	2	NUM
iajs-687	83	14	+	+	CCONJ
iajs-687	83	15	q	q	ADJ
iajs-687	83	16	+	+	CCONJ
iajs-687	83	17	1	1	NUM
iajs-687	83	18	planes	plane	NOUN
iajs-687	83	19	,	,	PUNCT
iajs-687	83	20	and	and	CCONJ
iajs-687	83	21	each	each	DET
iajs-687	83	22	plane	plane	NOUN
iajs-687	83	23	contains	contain	VERB
iajs-687	83	24	exactly	exactly	ADV
iajs-687	83	25	q	q	ADJ
iajs-687	83	26	2	2	NUM
iajs-687	84	1	+	+	CCONJ
iajs-687	84	2	q	q	NOUN
iajs-687	85	1	+	+	CCONJ
iajs-687	85	2	1	1	NUM
iajs-687	85	3	lines	line	NOUN
iajs-687	85	4	,	,	PUNCT
iajs-687	85	5	then	then	ADV
iajs-687	85	6	the	the	DET
iajs-687	85	7	numbers	number	NOUN
iajs-687	85	8	of	of	ADP
iajs-687	85	9	lines	line	NOUN
iajs-687	85	10	is	be	AUX
iajs-687	85	11	equal	equal	ADJ
iajs-687	85	12	to	to	ADP
iajs-687	85	13	(	(	PUNCT
iajs-687	85	14	q	q	PROPN
iajs-687	85	15	3	3	NUM
iajs-687	85	16	+	+	NUM
iajs-687	85	17	q2	q2	NOUN
iajs-687	85	18	+	+	CCONJ
iajs-687	85	19	q	q	X
iajs-687	86	1	+	+	NUM
iajs-687	86	2	1	1	NUM
iajs-687	86	3	)	)	PUNCT
iajs-687	86	4	(	(	PUNCT
iajs-687	86	5	q2	q2	NOUN
iajs-687	86	6	+	+	CCONJ
iajs-687	86	7	q	q	X
iajs-687	87	1	+	+	NUM
iajs-687	87	2	1	1	NUM
iajs-687	87	3	)	)	PUNCT
iajs-687	87	4	,	,	PUNCT
iajs-687	87	5	but	but	CCONJ
iajs-687	87	6	each	each	DET
iajs-687	87	7	line	line	NOUN
iajs-687	87	8	is	be	AUX
iajs-687	87	9	on	on	ADP
iajs-687	87	10	q	q	PROPN
iajs-687	87	11	+	+	CCONJ
iajs-687	87	12	1	1	NUM
iajs-687	87	13	planes	plane	NOUN
iajs-687	87	14	,	,	PUNCT
iajs-687	87	15	then	then	ADV
iajs-687	87	16	there	there	PRON
iajs-687	87	17	exist	exist	VERB
iajs-687	87	18	exactly	exactly	ADV
iajs-687	87	19	3	3	NUM
iajs-687	87	20	2	2	NUM
iajs-687	87	21	2	2	NUM
iajs-687	87	22	2	2	NUM
iajs-687	87	23	2	2	NUM
iajs-687	87	24	(	(	PUNCT
iajs-687	87	25	1	1	NUM
iajs-687	87	26	)	)	PUNCT
iajs-687	87	27	(	(	PUNCT
iajs-687	87	28	1	1	NUM
iajs-687	87	29	)	)	PUNCT
iajs-687	87	30	(	(	PUNCT
iajs-687	87	31	1	1	X
iajs-687	87	32	)	)	PUNCT
iajs-687	87	33	(	(	PUNCT
iajs-687	87	34	1	1	X
iajs-687	87	35	)	)	PUNCT
iajs-687	87	36	(	(	PUNCT
iajs-687	87	37	1	1	X
iajs-687	87	38	)	)	PUNCT
iajs-687	87	39			ADV
iajs-687	87	40			PROPN
iajs-687	87	41			PROPN
iajs-687	87	42			VERB
iajs-687	87	43			PROPN
iajs-687	87	44			PROPN
iajs-687	87	45			PROPN
iajs-687	87	46			PUNCT
iajs-687	87	47			PUNCT
iajs-687	87	48			PUNCT
iajs-687	87	49	q	q	X
iajs-687	87	50	q	q	X
iajs-687	87	51	q	q	X
iajs-687	87	52	q	q	X
iajs-687	87	53	q	q	X
iajs-687	87	54	q	q	X
iajs-687	87	55	q	q	X
iajs-687	88	1	q	q	X
iajs-687	88	2	q	q	NOUN
iajs-687	88	3	lines	line	NOUN
iajs-687	88	4	in	in	ADP
iajs-687	88	5	pg(3,q	pg(3,q	NOUN
iajs-687	88	6	)	)	PUNCT
iajs-687	88	7	.	.	PUNCT
iajs-687	89	1	now	now	ADV
iajs-687	89	2	,	,	PUNCT
iajs-687	89	3	some	some	DET
iajs-687	89	4	theorems	theorem	NOUN
iajs-687	89	5	on	on	ADP
iajs-687	89	6	projective	projective	ADJ
iajs-687	89	7	3	3	NUM
iajs-687	89	8	-	-	PUNCT
iajs-687	89	9	space	space	NOUN
iajs-687	89	10	pg(3,q	pg(3,q	NOUN
iajs-687	89	11	)	)	PUNCT
iajs-687	89	12	can	can	AUX
iajs-687	89	13	be	be	AUX
iajs-687	89	14	proved	prove	VERB
iajs-687	89	15	.	.	PUNCT
iajs-687	90	1	theorem	theorem	VERB
iajs-687	90	2	2.14	2.14	NUM
iajs-687	90	3	:	:	SYM
iajs-687	90	4	four	four	NUM
iajs-687	90	5	distinct	distinct	ADJ
iajs-687	90	6	points	point	NOUN
iajs-687	90	7	a(x1	a(x1	ADJ
iajs-687	90	8	,	,	PUNCT
iajs-687	90	9	x2	x2	PROPN
iajs-687	90	10	,	,	PUNCT
iajs-687	90	11	x3	x3	PROPN
iajs-687	90	12	,	,	PUNCT
iajs-687	90	13	x4	x4	PROPN
iajs-687	90	14	)	)	PUNCT
iajs-687	90	15	,	,	PUNCT
iajs-687	90	16	b(y1	b(y1	NOUN
iajs-687	90	17	,	,	PUNCT
iajs-687	90	18	y2	y2	PROPN
iajs-687	90	19	,	,	PUNCT
iajs-687	90	20	y3	y3	PROPN
iajs-687	90	21	,	,	PUNCT
iajs-687	90	22	y4	y4	NUM
iajs-687	90	23	)	)	PUNCT
iajs-687	90	24	,	,	PUNCT
iajs-687	90	25	c(z1	c(z1	NOUN
iajs-687	90	26	,	,	PUNCT
iajs-687	90	27	z2	z2	PROPN
iajs-687	90	28	,	,	PUNCT
iajs-687	90	29	z3	z3	PROPN
iajs-687	90	30	,	,	PUNCT
iajs-687	90	31	z4	z4	PROPN
iajs-687	90	32	)	)	PUNCT
iajs-687	90	33	,	,	PUNCT
iajs-687	90	34	and	and	CCONJ
iajs-687	90	35	d(w1	d(w1	NOUN
iajs-687	90	36	,	,	PUNCT
iajs-687	90	37	w2	w2	NOUN
iajs-687	90	38	,	,	PUNCT
iajs-687	90	39	w3	w3	PROPN
iajs-687	90	40	,	,	PUNCT
iajs-687	90	41	w4	w4	NOUN
iajs-687	90	42	)	)	PUNCT
iajs-687	91	1	are	be	AUX
iajs-687	91	2	coplanar	coplanar	ADJ
iajs-687	91	3	iff	iff	PROPN
iajs-687	92	1	1	1	NUM
iajs-687	92	2	2	2	NUM
iajs-687	92	3	3	3	NUM
iajs-687	92	4	4	4	NUM
iajs-687	92	5	1	1	NUM
iajs-687	92	6	2	2	NUM
iajs-687	92	7	3	3	NUM
iajs-687	92	8	4	4	NUM
iajs-687	92	9	1	1	NUM
iajs-687	92	10	2	2	NUM
iajs-687	92	11	3	3	NUM
iajs-687	92	12	4	4	NUM
iajs-687	92	13	1	1	NUM
iajs-687	92	14	2	2	NUM
iajs-687	92	15	3	3	NUM
iajs-687	92	16	4	4	NUM
iajs-687	92	17	0	0	NOUN
iajs-687	92	18			NUM
iajs-687	92	19			NOUN
iajs-687	92	20	x	x	PUNCT
iajs-687	93	1	x	x	PUNCT
iajs-687	93	2	x	x	PUNCT
iajs-687	93	3	x	x	PUNCT
iajs-687	93	4	y	y	VERB
iajs-687	93	5	y	y	PROPN
iajs-687	93	6	y	y	PROPN
iajs-687	93	7	y	y	PROPN
iajs-687	93	8	z	z	PROPN
iajs-687	93	9	z	z	PROPN
iajs-687	93	10	z	z	NOUN
iajs-687	93	11	z	z	PROPN
iajs-687	93	12	w	w	PROPN
iajs-687	93	13	w	w	PROPN
iajs-687	93	14	w	w	PROPN
iajs-687	93	15	w	w	NOUN
iajs-687	93	16	proof	proof	NOUN
iajs-687	93	17	:	:	PUNCT
iajs-687	93	18	let	let	VERB
iajs-687	93	19			PROPN
iajs-687	93	20	[	[	X
iajs-687	93	21	u1	u1	NOUN
iajs-687	93	22	,	,	PUNCT
iajs-687	93	23	u2	u2	NOUN
iajs-687	93	24	,	,	PUNCT
iajs-687	93	25	u3	u3	PROPN
iajs-687	93	26	,	,	PUNCT
iajs-687	93	27	u4	u4	PROPN
iajs-687	93	28	]	]	PUNCT
iajs-687	93	29	be	be	VERB
iajs-687	93	30	a	a	DET
iajs-687	93	31	plane	plane	NOUN
iajs-687	93	32	containing	contain	VERB
iajs-687	93	33	the	the	DET
iajs-687	93	34	points	point	NOUN
iajs-687	93	35	a	a	DET
iajs-687	93	36	,	,	PUNCT
iajs-687	93	37	b	b	NOUN
iajs-687	93	38	,	,	PUNCT
iajs-687	93	39	c	c	NOUN
iajs-687	93	40	,	,	PUNCT
iajs-687	93	41	d	d	NOUN
iajs-687	93	42	,	,	PUNCT
iajs-687	93	43	then	then	ADV
iajs-687	93	44	x1	x1	ADJ
iajs-687	93	45	u1	u1	NOUN
iajs-687	93	46	+	+	CCONJ
iajs-687	94	1	x2	x2	PROPN
iajs-687	94	2	u2	u2	PROPN
iajs-687	94	3	+	+	CCONJ
iajs-687	94	4	x3	x3	ADJ
iajs-687	94	5	u3	u3	NOUN
iajs-687	94	6	+	+	CCONJ
iajs-687	94	7	x4	x4	PROPN
iajs-687	94	8	u4	u4	PROPN
iajs-687	94	9	=	=	NOUN
iajs-687	94	10	0	0	NUM
iajs-687	94	11	y1	y1	NOUN
iajs-687	94	12	u1	u1	NOUN
iajs-687	94	13	+	+	CCONJ
iajs-687	94	14	y2	y2	PROPN
iajs-687	94	15	u2	u2	NOUN
iajs-687	94	16	+	+	CCONJ
iajs-687	94	17	y3	y3	NOUN
iajs-687	94	18	u3	u3	NOUN
iajs-687	94	19	+	+	CCONJ
iajs-687	94	20	y4	y4	PROPN
iajs-687	94	21	u4	u4	PROPN
iajs-687	94	22	=	=	SYM
iajs-687	94	23	0	0	NUM
iajs-687	94	24	z1	z1	ADJ
iajs-687	94	25	u1	u1	NOUN
iajs-687	94	26	+	+	CCONJ
iajs-687	94	27	z2	z2	PROPN
iajs-687	94	28	u2	u2	PROPN
iajs-687	94	29	+	+	CCONJ
iajs-687	94	30	z3	z3	PROPN
iajs-687	94	31	u3	u3	NOUN
iajs-687	94	32	+	+	CCONJ
iajs-687	94	33	z4	z4	PROPN
iajs-687	94	34	u4	u4	PROPN
iajs-687	94	35	=	=	PROPN
iajs-687	94	36	0	0	PROPN
iajs-687	94	37	w1	w1	NOUN
iajs-687	94	38	u1	u1	NOUN
iajs-687	94	39	+	+	CCONJ
iajs-687	94	40	w2	w2	NOUN
iajs-687	94	41	u2	u2	PROPN
iajs-687	94	42	+	+	CCONJ
iajs-687	94	43	w3	w3	PROPN
iajs-687	94	44	u3	u3	NOUN
iajs-687	94	45	+	+	CCONJ
iajs-687	94	46	w4	w4	PROPN
iajs-687	94	47	u4	u4	PROPN
iajs-687	94	48	=	=	PROPN
iajs-687	94	49	0	0	NUM
iajs-687	95	1	it	it	PRON
iajs-687	95	2	is	be	AUX
iajs-687	95	3	known	know	VERB
iajs-687	95	4	from	from	ADP
iajs-687	95	5	the	the	DET
iajs-687	95	6	linear	linear	ADJ
iajs-687	95	7	algebra	algebra	NOUN
iajs-687	95	8	that	that	SCONJ
iajs-687	95	9	this	this	DET
iajs-687	95	10	system	system	NOUN
iajs-687	95	11	of	of	ADP
iajs-687	95	12	equations	equation	NOUN
iajs-687	95	13	have	have	VERB
iajs-687	95	14	non	non	ADJ
iajs-687	95	15	zero	zero	NUM
iajs-687	95	16	solutions	solution	NOUN
iajs-687	95	17	for	for	ADP
iajs-687	95	18	u1,u2	u1,u2	PROPN
iajs-687	95	19	,	,	PUNCT
iajs-687	95	20	u3,u4	u3,u4	PROPN
iajs-687	95	21	iff	iff	PROPN
iajs-687	95	22			NOUN
iajs-687	95	23	=	=	NOUN
iajs-687	95	24	0	0	NUM
iajs-687	95	25	.	.	PUNCT
iajs-687	96	1	thus	thus	ADV
iajs-687	96	2	the	the	DET
iajs-687	96	3	necessary	necessary	ADJ
iajs-687	96	4	and	and	CCONJ
iajs-687	96	5	sufficient	sufficient	ADJ
iajs-687	96	6	conditions	condition	NOUN
iajs-687	96	7	for	for	ADP
iajs-687	96	8	four	four	NUM
iajs-687	96	9	points	point	NOUN
iajs-687	96	10	to	to	PART
iajs-687	96	11	be	be	AUX
iajs-687	96	12	coplanar	coplanar	ADJ
iajs-687	96	13	that	that	PRON
iajs-687	96	14			PUNCT
iajs-687	97	1	=	=	NOUN
iajs-687	97	2	0	0	X
iajs-687	97	3	.	.	X
iajs-687	97	4	مجلة	مجلة	VERB
iajs-687	97	5	إبن	إبن	VERB
iajs-687	97	6	الھیثم	الھیثم	NOUN
iajs-687	97	7	للعلوم	للعلوم	NOUN
iajs-687	97	8	الصرفة	الصرفة	NOUN
iajs-687	97	9	و	و	PRON
iajs-687	97	10	التطبیقیة	التطبیقیة	PROPN
iajs-687	97	11	2012	2012	NUM
iajs-687	97	12	السنة	السنة	NOUN
iajs-687	97	13	25	25	NUM
iajs-687	97	14	المجلد	المجلد	NOUN
iajs-687	97	15	1	1	NUM
iajs-687	97	16	العدد	العدد	PROPN
iajs-687	97	17	ibn	ibn	PROPN
iajs-687	97	18	al	al	PROPN
iajs-687	97	19	-	-	PUNCT
iajs-687	97	20	haitham	haitham	PROPN
iajs-687	97	21	journal	journal	PROPN
iajs-687	97	22	for	for	ADP
iajs-687	97	23	pure	pure	ADJ
iajs-687	97	24	and	and	CCONJ
iajs-687	97	25	applied	apply	VERB
iajs-687	97	26	science	science	NOUN
iajs-687	97	27	no	no	NOUN
iajs-687	97	28	.	.	NOUN
iajs-687	97	29	1	1	NUM
iajs-687	97	30	vol	vol	NOUN
iajs-687	97	31	.	.	PUNCT
iajs-687	98	1	25	25	NUM
iajs-687	98	2	year	year	NOUN
iajs-687	98	3	2012	2012	NUM
iajs-687	98	4	corollary	corollary	NOUN
iajs-687	98	5	2.15	2.15	NUM
iajs-687	98	6	:	:	PUNCT
iajs-687	98	7	if	if	SCONJ
iajs-687	98	8	four	four	NUM
iajs-687	98	9	distinct	distinct	ADJ
iajs-687	98	10	points	point	NOUN
iajs-687	98	11	in	in	ADP
iajs-687	98	12	pg(3,q	pg(3,q	NOUN
iajs-687	98	13	)	)	PUNCT
iajs-687	98	14	a(x1	a(x1	ADJ
iajs-687	98	15	,	,	PUNCT
iajs-687	98	16	x2	x2	PROPN
iajs-687	98	17	,	,	PUNCT
iajs-687	98	18	x3	x3	PROPN
iajs-687	98	19	,	,	PUNCT
iajs-687	98	20	x4	x4	PROPN
iajs-687	98	21	)	)	PUNCT
iajs-687	98	22	,	,	PUNCT
iajs-687	98	23	b(y1	b(y1	NOUN
iajs-687	98	24	,	,	PUNCT
iajs-687	98	25	y2	y2	PROPN
iajs-687	98	26	,	,	PUNCT
iajs-687	98	27	y3	y3	PROPN
iajs-687	98	28	,	,	PUNCT
iajs-687	98	29	y4	y4	NUM
iajs-687	98	30	)	)	PUNCT
iajs-687	98	31	,	,	PUNCT
iajs-687	98	32	c(z1	c(z1	NOUN
iajs-687	98	33	,	,	PUNCT
iajs-687	98	34	z2	z2	PROPN
iajs-687	98	35	,	,	PUNCT
iajs-687	98	36	z3	z3	PROPN
iajs-687	98	37	,	,	PUNCT
iajs-687	98	38	z4	z4	PROPN
iajs-687	98	39	)	)	PUNCT
iajs-687	98	40	,	,	PUNCT
iajs-687	98	41	and	and	CCONJ
iajs-687	98	42	d(w1	d(w1	NOUN
iajs-687	98	43	,	,	PUNCT
iajs-687	98	44	w2	w2	NOUN
iajs-687	98	45	,	,	PUNCT
iajs-687	98	46	w3	w3	PROPN
iajs-687	98	47	,	,	PUNCT
iajs-687	98	48	w4	w4	NOUN
iajs-687	98	49	)	)	PUNCT
iajs-687	98	50	are	be	AUX
iajs-687	98	51	collinear	collinear	VERB
iajs-687	98	52	,	,	PUNCT
iajs-687	98	53	then	then	ADV
iajs-687	98	54			PUNCT
iajs-687	98	55	=	=	NOUN
iajs-687	98	56	0	0	X
iajs-687	98	57	.	.	PUNCT
iajs-687	99	1	this	this	PRON
iajs-687	99	2	follows	follow	VERB
iajs-687	99	3	from	from	ADP
iajs-687	99	4	theorem	theorem	ADJ
iajs-687	99	5	2.14	2.14	NUM
iajs-687	99	6	and	and	CCONJ
iajs-687	99	7	the	the	DET
iajs-687	99	8	incidence	incidence	NOUN
iajs-687	99	9	of	of	ADP
iajs-687	99	10	these	these	DET
iajs-687	99	11	points	point	NOUN
iajs-687	99	12	on	on	ADP
iajs-687	99	13	a	a	DET
iajs-687	99	14	line	line	NOUN
iajs-687	99	15	of	of	ADP
iajs-687	99	16	some	some	DET
iajs-687	99	17	plane	plane	NOUN
iajs-687	99	18	.	.	PUNCT
iajs-687	100	1	from	from	ADP
iajs-687	100	2	the	the	DET
iajs-687	100	3	principle	principle	NOUN
iajs-687	100	4	of	of	ADP
iajs-687	100	5	duality	duality	NOUN
iajs-687	100	6	,	,	PUNCT
iajs-687	100	7	one	one	PRON
iajs-687	100	8	can	can	AUX
iajs-687	100	9	prove	prove	VERB
iajs-687	100	10	:	:	PUNCT
iajs-687	100	11	theorem	theorem	VERB
iajs-687	100	12	2.16	2.16	NUM
iajs-687	100	13	:	:	PUNCT
iajs-687	100	14	four	four	NUM
iajs-687	100	15	distinct	distinct	ADJ
iajs-687	100	16	planes	plane	NOUN
iajs-687	100	17	in	in	ADP
iajs-687	100	18	pg(3,q	pg(3,q	ADJ
iajs-687	100	19	)	)	PUNCT
iajs-687	100	20	a[x1	a[x1	ADV
iajs-687	100	21	,	,	PUNCT
iajs-687	100	22	x2	x2	PROPN
iajs-687	100	23	,	,	PUNCT
iajs-687	100	24	x3	x3	PROPN
iajs-687	100	25	,	,	PUNCT
iajs-687	100	26	x4	x4	PROPN
iajs-687	100	27	]	]	X
iajs-687	100	28	,	,	PUNCT
iajs-687	100	29	b[y1	b[y1	PROPN
iajs-687	100	30	,	,	PUNCT
iajs-687	100	31	y2	y2	PROPN
iajs-687	100	32	,	,	PUNCT
iajs-687	100	33	y3	y3	PROPN
iajs-687	100	34	,	,	PUNCT
iajs-687	100	35	y4	y4	PROPN
iajs-687	100	36	]	]	PUNCT
iajs-687	100	37	,	,	PUNCT
iajs-687	100	38	c[z1	c[z1	INTJ
iajs-687	100	39	,	,	PUNCT
iajs-687	100	40	z2	z2	PROPN
iajs-687	100	41	,	,	PUNCT
iajs-687	100	42	z3	z3	PROPN
iajs-687	100	43	,	,	PUNCT
iajs-687	100	44	z4	z4	PROPN
iajs-687	100	45	]	]	PUNCT
iajs-687	100	46	,	,	PUNCT
iajs-687	100	47	and	and	CCONJ
iajs-687	100	48	d[w1	d[w1	NOUN
iajs-687	100	49	,	,	PUNCT
iajs-687	100	50	w2	w2	NOUN
iajs-687	100	51	,	,	PUNCT
iajs-687	100	52	w3	w3	PROPN
iajs-687	100	53	,	,	PUNCT
iajs-687	100	54	w4	w4	NOUN
iajs-687	100	55	]	]	PUNCT
iajs-687	100	56	are	be	AUX
iajs-687	100	57	concurrent	concurrent	ADJ
iajs-687	100	58	(	(	PUNCT
iajs-687	100	59	intersecting	intersect	VERB
iajs-687	100	60	in	in	ADP
iajs-687	100	61	one	one	NUM
iajs-687	100	62	point	point	NOUN
iajs-687	100	63	)	)	PUNCT
iajs-687	100	64	iff	iff	NOUN
iajs-687	100	65	1	1	NUM
iajs-687	100	66	2	2	NUM
iajs-687	100	67	3	3	NUM
iajs-687	100	68	4	4	NUM
iajs-687	100	69	1	1	NUM
iajs-687	100	70	2	2	NUM
iajs-687	100	71	3	3	NUM
iajs-687	100	72	4	4	NUM
iajs-687	100	73	1	1	NUM
iajs-687	100	74	2	2	NUM
iajs-687	100	75	3	3	NUM
iajs-687	100	76	4	4	NUM
iajs-687	100	77	1	1	NUM
iajs-687	100	78	2	2	NUM
iajs-687	100	79	3	3	NUM
iajs-687	100	80	4	4	NUM
iajs-687	100	81	0	0	NOUN
iajs-687	101	1			NUM
iajs-687	102	1			NOUN
iajs-687	102	2	x	x	PUNCT
iajs-687	103	1	x	x	PUNCT
iajs-687	103	2	x	x	PUNCT
iajs-687	103	3	x	x	PUNCT
iajs-687	103	4	y	y	VERB
iajs-687	103	5	y	y	PROPN
iajs-687	103	6	y	y	PROPN
iajs-687	103	7	y	y	PROPN
iajs-687	103	8	z	z	PROPN
iajs-687	103	9	z	z	PROPN
iajs-687	103	10	z	z	NOUN
iajs-687	103	11	z	z	PROPN
iajs-687	103	12	w	w	PROPN
iajs-687	103	13	w	w	PROPN
iajs-687	103	14	w	w	PROPN
iajs-687	103	15	w	w	PROPN
iajs-687	103	16	theorem	theorem	NOUN
iajs-687	103	17	2.17	2.17	NUM
iajs-687	103	18	:	:	PUNCT
iajs-687	103	19	the	the	DET
iajs-687	103	20	equation	equation	NOUN
iajs-687	103	21	of	of	ADP
iajs-687	103	22	the	the	DET
iajs-687	103	23	plane	plane	NOUN
iajs-687	103	24	determined	determine	VERB
iajs-687	103	25	by	by	ADP
iajs-687	103	26	three	three	NUM
iajs-687	103	27	distinct	distinct	ADJ
iajs-687	103	28	points	point	NOUN
iajs-687	103	29	a(y	a(y	PROPN
iajs-687	103	30	1	1	NUM
iajs-687	103	31	,	,	PUNCT
iajs-687	103	32	y2	y2	PROPN
iajs-687	103	33	,	,	PUNCT
iajs-687	103	34	y3	y3	PROPN
iajs-687	103	35	,	,	PUNCT
iajs-687	103	36	y4	y4	NUM
iajs-687	103	37	)	)	PUNCT
iajs-687	103	38	,	,	PUNCT
iajs-687	103	39	b(z1	b(z1	NOUN
iajs-687	103	40	,	,	PUNCT
iajs-687	103	41	z2	z2	PROPN
iajs-687	103	42	,	,	PUNCT
iajs-687	103	43	z3	z3	PROPN
iajs-687	103	44	,	,	PUNCT
iajs-687	103	45	z4	z4	PROPN
iajs-687	103	46	)	)	PUNCT
iajs-687	103	47	,	,	PUNCT
iajs-687	103	48	and	and	CCONJ
iajs-687	103	49	c(w1	c(w1	NOUN
iajs-687	103	50	,	,	PUNCT
iajs-687	103	51	w2	w2	NOUN
iajs-687	103	52	,	,	PUNCT
iajs-687	103	53	w3	w3	PROPN
iajs-687	103	54	,	,	PUNCT
iajs-687	103	55	w4	w4	NOUN
iajs-687	103	56	)	)	PUNCT
iajs-687	103	57	is	be	AUX
iajs-687	103	58	1	1	NUM
iajs-687	103	59	2	2	NUM
iajs-687	103	60	3	3	NUM
iajs-687	103	61	4	4	NUM
iajs-687	103	62	1	1	NUM
iajs-687	103	63	2	2	NUM
iajs-687	103	64	3	3	NUM
iajs-687	103	65	4	4	NUM
iajs-687	103	66	1	1	NUM
iajs-687	103	67	2	2	NUM
iajs-687	103	68	3	3	NUM
iajs-687	103	69	4	4	NUM
iajs-687	103	70	1	1	NUM
iajs-687	103	71	2	2	NUM
iajs-687	103	72	3	3	NUM
iajs-687	103	73	4	4	NUM
iajs-687	103	74	2	2	NUM
iajs-687	103	75	3	3	NUM
iajs-687	103	76	4	4	NUM
iajs-687	103	77	3	3	NUM
iajs-687	103	78	1	1	NUM
iajs-687	103	79	4	4	NUM
iajs-687	103	80	1	1	NUM
iajs-687	103	81	2	2	NUM
iajs-687	103	82	4	4	NUM
iajs-687	103	83	3	3	NUM
iajs-687	103	84	2	2	NUM
iajs-687	103	85	1	1	NUM
iajs-687	103	86	2	2	NUM
iajs-687	103	87	3	3	NUM
iajs-687	103	88	4	4	NUM
iajs-687	103	89	1	1	NUM
iajs-687	103	90	3	3	NUM
iajs-687	103	91	1	1	NUM
iajs-687	103	92	4	4	NUM
iajs-687	103	93	2	2	NUM
iajs-687	103	94	1	1	NUM
iajs-687	103	95	2	2	NUM
iajs-687	103	96	4	4	NUM
iajs-687	103	97	3	3	NUM
iajs-687	103	98	3	3	NUM
iajs-687	103	99	2	2	NUM
iajs-687	103	100	1	1	NUM
iajs-687	103	101	4	4	NUM
iajs-687	103	102	2	2	NUM
iajs-687	103	103	3	3	NUM
iajs-687	103	104	4	4	NUM
iajs-687	103	105	3	3	NUM
iajs-687	103	106	1	1	NUM
iajs-687	103	107	4	4	NUM
iajs-687	103	108	1	1	NUM
iajs-687	103	109	2	2	NUM
iajs-687	103	110	4	4	NUM
iajs-687	103	111	3	3	NUM
iajs-687	103	112	2	2	NUM
iajs-687	103	113	1	1	NUM
iajs-687	103	114	0	0	NUM
iajs-687	103	115			PROPN
iajs-687	103	116			ADV
iajs-687	103	117			PUNCT
iajs-687	103	118			PUNCT
iajs-687	104	1			PROPN
iajs-687	104	2	x	x	PUNCT
iajs-687	105	1	x	x	PUNCT
iajs-687	105	2	x	x	PUNCT
iajs-687	105	3	x	x	PUNCT
iajs-687	105	4	y	y	VERB
iajs-687	105	5	y	y	PROPN
iajs-687	105	6	y	y	PROPN
iajs-687	105	7	y	y	PROPN
iajs-687	105	8	z	z	PROPN
iajs-687	105	9	z	z	PROPN
iajs-687	105	10	z	z	NOUN
iajs-687	105	11	z	z	PROPN
iajs-687	105	12	w	w	PROPN
iajs-687	105	13	w	w	PROPN
iajs-687	105	14	w	w	PROPN
iajs-687	105	15	w	w	PROPN
iajs-687	105	16	y	y	PROPN
iajs-687	105	17	y	y	PROPN
iajs-687	105	18	y	y	PROPN
iajs-687	105	19	y	y	PROPN
iajs-687	105	20	y	y	PROPN
iajs-687	105	21	y	y	PROPN
iajs-687	105	22	y	y	PROPN
iajs-687	105	23	y	y	PROPN
iajs-687	105	24	y	y	PROPN
iajs-687	105	25	y	y	PROPN
iajs-687	105	26	y	y	PROPN
iajs-687	105	27	y	y	PROPN
iajs-687	105	28	z	z	PROPN
iajs-687	105	29	z	z	NOUN
iajs-687	105	30	z	z	NOUN
iajs-687	105	31	x	x	PUNCT
iajs-687	105	32	z	z	NOUN
iajs-687	105	33	z	z	NOUN
iajs-687	105	34	z	z	NOUN
iajs-687	105	35	x	x	PUNCT
iajs-687	105	36	z	z	NOUN
iajs-687	105	37	z	z	NOUN
iajs-687	105	38	z	z	NOUN
iajs-687	105	39	x	x	PUNCT
iajs-687	105	40	z	z	NOUN
iajs-687	105	41	z	z	NOUN
iajs-687	105	42	z	z	NOUN
iajs-687	105	43	x	x	PUNCT
iajs-687	105	44	w	w	PROPN
iajs-687	105	45	w	w	PROPN
iajs-687	105	46	w	w	PROPN
iajs-687	105	47	w	w	PROPN
iajs-687	105	48	w	w	PROPN
iajs-687	105	49	w	w	PROPN
iajs-687	105	50	w	w	PROPN
iajs-687	105	51	w	w	PROPN
iajs-687	105	52	w	w	PROPN
iajs-687	105	53	w	w	PROPN
iajs-687	105	54	w	w	PROPN
iajs-687	105	55	w	w	PROPN
iajs-687	105	56	where	where	SCONJ
iajs-687	105	57	(	(	PUNCT
iajs-687	105	58	x1	x1	ADJ
iajs-687	105	59	,	,	PUNCT
iajs-687	105	60	x2	x2	PROPN
iajs-687	105	61	,	,	PUNCT
iajs-687	105	62	x3	x3	PROPN
iajs-687	105	63	,	,	PUNCT
iajs-687	105	64	x4	x4	PROPN
iajs-687	105	65	)	)	PUNCT
iajs-687	105	66	be	be	VERB
iajs-687	105	67	any	any	DET
iajs-687	105	68	variable	variable	ADJ
iajs-687	105	69	point	point	NOUN
iajs-687	105	70	on	on	ADP
iajs-687	105	71	the	the	DET
iajs-687	105	72	plane	plane	NOUN
iajs-687	105	73	,	,	PUNCT
iajs-687	105	74	and	and	CCONJ
iajs-687	105	75	it	it	PRON
iajs-687	105	76	’s	’	VERB
iajs-687	105	77	coordinates	coordinate	NOUN
iajs-687	105	78	are	be	AUX
iajs-687	105	79	:	:	PUNCT
iajs-687	105	80	2	2	NUM
iajs-687	105	81	3	3	NUM
iajs-687	105	82	4	4	NUM
iajs-687	105	83	3	3	NUM
iajs-687	105	84	1	1	NUM
iajs-687	105	85	4	4	NUM
iajs-687	105	86	1	1	NUM
iajs-687	105	87	2	2	NUM
iajs-687	105	88	4	4	NUM
iajs-687	105	89	3	3	NUM
iajs-687	105	90	2	2	NUM
iajs-687	105	91	1	1	NUM
iajs-687	105	92	2	2	NUM
iajs-687	105	93	3	3	NUM
iajs-687	105	94	4	4	NUM
iajs-687	105	95	3	3	NUM
iajs-687	105	96	1	1	NUM
iajs-687	105	97	4	4	NUM
iajs-687	105	98	1	1	NUM
iajs-687	105	99	2	2	NUM
iajs-687	105	100	4	4	NUM
iajs-687	105	101	3	3	NUM
iajs-687	105	102	2	2	NUM
iajs-687	105	103	1	1	NUM
iajs-687	105	104	2	2	NUM
iajs-687	105	105	3	3	NUM
iajs-687	105	106	4	4	NUM
iajs-687	105	107	3	3	NUM
iajs-687	105	108	1	1	NUM
iajs-687	105	109	4	4	NUM
iajs-687	105	110	1	1	NUM
iajs-687	105	111	2	2	NUM
iajs-687	105	112	4	4	NUM
iajs-687	105	113	3	3	NUM
iajs-687	105	114	2	2	NUM
iajs-687	105	115	1	1	NUM
iajs-687	105	116	,	,	PUNCT
iajs-687	105	117	,	,	PUNCT
iajs-687	105	118	,	,	PUNCT
iajs-687	105	119			PROPN
iajs-687	105	120			ADJ
iajs-687	105	121			NOUN
iajs-687	105	122			PROPN
iajs-687	105	123			NOUN
iajs-687	105	124			NOUN
iajs-687	105	125			NOUN
iajs-687	105	126			PROPN
iajs-687	105	127			PROPN
iajs-687	105	128	y	y	PROPN
iajs-687	105	129	y	y	PROPN
iajs-687	105	130	y	y	PROPN
iajs-687	105	131	y	y	PROPN
iajs-687	105	132	y	y	PROPN
iajs-687	105	133	y	y	PROPN
iajs-687	105	134	y	y	PROPN
iajs-687	105	135	y	y	PROPN
iajs-687	105	136	y	y	PROPN
iajs-687	105	137	y	y	PROPN
iajs-687	105	138	y	y	PROPN
iajs-687	105	139	y	y	PROPN
iajs-687	105	140	z	z	PROPN
iajs-687	105	141	z	z	PROPN
iajs-687	105	142	z	z	NOUN
iajs-687	105	143	z	z	NOUN
iajs-687	105	144	z	z	NOUN
iajs-687	105	145	z	z	NOUN
iajs-687	105	146	z	z	NOUN
iajs-687	105	147	z	z	NOUN
iajs-687	105	148	z	z	NOUN
iajs-687	105	149	z	z	NOUN
iajs-687	105	150	z	z	NOUN
iajs-687	105	151	z	z	PROPN
iajs-687	105	152	w	w	PROPN
iajs-687	105	153	w	w	PROPN
iajs-687	105	154	w	w	PROPN
iajs-687	105	155	w	w	PROPN
iajs-687	105	156	w	w	PROPN
iajs-687	105	157	w	w	PROPN
iajs-687	105	158	w	w	PROPN
iajs-687	105	159	w	w	PROPN
iajs-687	105	160	w	w	PROPN
iajs-687	105	161	w	w	PROPN
iajs-687	105	162	w	w	PROPN
iajs-687	105	163	w	w	PROPN
iajs-687	105	164	similarly	similarly	ADV
iajs-687	105	165	,	,	PUNCT
iajs-687	105	166	one	one	PRON
iajs-687	105	167	can	can	AUX
iajs-687	105	168	prove	prove	VERB
iajs-687	105	169	the	the	DET
iajs-687	105	170	dual	dual	ADJ
iajs-687	105	171	of	of	ADP
iajs-687	105	172	this	this	DET
iajs-687	105	173	theorem	theorem	VERB
iajs-687	105	174	.	.	PUNCT
iajs-687	105	175	theorem	theorem	VERB
iajs-687	105	176	2.18	2.18	NUM
iajs-687	105	177	:	:	PUNCT
iajs-687	105	178	the	the	DET
iajs-687	105	179	equation	equation	NOUN
iajs-687	105	180	of	of	ADP
iajs-687	105	181	the	the	DET
iajs-687	105	182	point	point	NOUN
iajs-687	105	183	determined	determine	VERB
iajs-687	105	184	by	by	ADP
iajs-687	105	185	three	three	NUM
iajs-687	105	186	distinct	distinct	ADJ
iajs-687	105	187	planes	plane	NOUN
iajs-687	105	188	(	(	PUNCT
iajs-687	105	189	non	non	ADJ
iajs-687	105	190	-	-	ADJ
iajs-687	105	191	collinear	collinear	ADJ
iajs-687	105	192	)	)	PUNCT
iajs-687	105	193	in	in	ADP
iajs-687	105	194	pg(3,q	pg(3,q	ADJ
iajs-687	105	195	)	)	PUNCT
iajs-687	105	196	a[y1	a[y1	ADJ
iajs-687	105	197	,	,	PUNCT
iajs-687	105	198	y2	y2	PROPN
iajs-687	105	199	,	,	PUNCT
iajs-687	105	200	y3	y3	PROPN
iajs-687	105	201	,	,	PUNCT
iajs-687	105	202	y4	y4	PROPN
iajs-687	105	203	]	]	PUNCT
iajs-687	105	204	,	,	PUNCT
iajs-687	105	205	b[z1	b[z1	INTJ
iajs-687	105	206	,	,	PUNCT
iajs-687	105	207	z2	z2	PROPN
iajs-687	105	208	,	,	PUNCT
iajs-687	105	209	z3	z3	PROPN
iajs-687	105	210	,	,	PUNCT
iajs-687	105	211	z4	z4	PROPN
iajs-687	105	212	]	]	PUNCT
iajs-687	105	213	,	,	PUNCT
iajs-687	105	214	and	and	CCONJ
iajs-687	105	215	c[w1	c[w1	NOUN
iajs-687	105	216	,	,	PUNCT
iajs-687	105	217	w2	w2	NOUN
iajs-687	105	218	,	,	PUNCT
iajs-687	105	219	w3	w3	PROPN
iajs-687	105	220	,	,	PUNCT
iajs-687	105	221	w4	w4	NOUN
iajs-687	105	222	]	]	PUNCT
iajs-687	105	223	is	be	AUX
iajs-687	105	224	1	1	NUM
iajs-687	105	225	2	2	NUM
iajs-687	105	226	3	3	NUM
iajs-687	105	227	4	4	NUM
iajs-687	105	228	1	1	NUM
iajs-687	105	229	2	2	NUM
iajs-687	105	230	3	3	NUM
iajs-687	105	231	4	4	NUM
iajs-687	105	232	1	1	NUM
iajs-687	105	233	2	2	NUM
iajs-687	105	234	3	3	NUM
iajs-687	105	235	4	4	NUM
iajs-687	105	236	1	1	NUM
iajs-687	105	237	2	2	NUM
iajs-687	105	238	3	3	NUM
iajs-687	105	239	4	4	NUM
iajs-687	105	240			NOUN
iajs-687	105	241	x	x	SYM
iajs-687	106	1	x	x	PUNCT
iajs-687	106	2	x	x	PUNCT
iajs-687	106	3	x	x	PUNCT
iajs-687	106	4	y	y	VERB
iajs-687	106	5	y	y	PROPN
iajs-687	106	6	y	y	PROPN
iajs-687	106	7	y	y	PROPN
iajs-687	106	8	z	z	PROPN
iajs-687	106	9	z	z	PROPN
iajs-687	106	10	z	z	NOUN
iajs-687	106	11	z	z	PROPN
iajs-687	106	12	w	w	PROPN
iajs-687	106	13	w	w	PROPN
iajs-687	106	14	w	w	PROPN
iajs-687	106	15	w	w	PROPN
iajs-687	106	16	مجلة	مجلة	NOUN
iajs-687	106	17	إبن	إبن	VERB
iajs-687	106	18	الھیثم	الھیثم	NOUN
iajs-687	106	19	للعلوم	للعلوم	NOUN
iajs-687	106	20	الصرفة	الصرفة	NOUN
iajs-687	106	21	و	و	PRON
iajs-687	106	22	التطبیقیة	التطبیقیة	PROPN
iajs-687	106	23	2012	2012	NUM
iajs-687	106	24	السنة	السنة	NOUN
iajs-687	107	1	25	25	NUM
iajs-687	107	2	المجلد	المجلد	NOUN
iajs-687	107	3	1	1	NUM
iajs-687	107	4	العدد	العدد	PROPN
iajs-687	107	5	ibn	ibn	PROPN
iajs-687	107	6	al	al	PROPN
iajs-687	107	7	-	-	PUNCT
iajs-687	107	8	haitham	haitham	PROPN
iajs-687	107	9	journal	journal	PROPN
iajs-687	107	10	for	for	ADP
iajs-687	107	11	pure	pure	ADJ
iajs-687	107	12	and	and	CCONJ
iajs-687	107	13	applied	apply	VERB
iajs-687	107	14	science	science	NOUN
iajs-687	107	15	no	no	NOUN
iajs-687	107	16	.	.	NOUN
iajs-687	107	17	1	1	NUM
iajs-687	107	18	vol	vol	NOUN
iajs-687	107	19	.	.	PUNCT
iajs-687	108	1	25	25	NUM
iajs-687	108	2	year	year	NOUN
iajs-687	108	3	2012	2012	NUM
iajs-687	108	4	2	2	NUM
iajs-687	108	5	3	3	NUM
iajs-687	108	6	4	4	NUM
iajs-687	108	7	3	3	NUM
iajs-687	108	8	1	1	NUM
iajs-687	108	9	4	4	NUM
iajs-687	108	10	1	1	NUM
iajs-687	108	11	2	2	NUM
iajs-687	108	12	4	4	NUM
iajs-687	108	13	3	3	NUM
iajs-687	108	14	2	2	NUM
iajs-687	108	15	1	1	NUM
iajs-687	108	16	2	2	NUM
iajs-687	108	17	3	3	NUM
iajs-687	108	18	4	4	NUM
iajs-687	108	19	1	1	NUM
iajs-687	108	20	3	3	NUM
iajs-687	108	21	1	1	NUM
iajs-687	108	22	4	4	NUM
iajs-687	108	23	2	2	NUM
iajs-687	108	24	1	1	NUM
iajs-687	108	25	2	2	NUM
iajs-687	108	26	4	4	NUM
iajs-687	108	27	3	3	NUM
iajs-687	108	28	3	3	NUM
iajs-687	108	29	2	2	NUM
iajs-687	108	30	1	1	NUM
iajs-687	108	31	4	4	NUM
iajs-687	108	32	2	2	NUM
iajs-687	108	33	3	3	NUM
iajs-687	108	34	4	4	NUM
iajs-687	108	35	3	3	NUM
iajs-687	108	36	1	1	NUM
iajs-687	108	37	4	4	NUM
iajs-687	108	38	1	1	NUM
iajs-687	108	39	2	2	NUM
iajs-687	108	40	4	4	NUM
iajs-687	108	41	3	3	NUM
iajs-687	108	42	2	2	NUM
iajs-687	108	43	1	1	NUM
iajs-687	108	44	0	0	NOUN
iajs-687	108	45			ADV
iajs-687	108	46			PUNCT
iajs-687	109	1			PROPN
iajs-687	109	2	y	y	PROPN
iajs-687	109	3	y	y	PROPN
iajs-687	109	4	y	y	PROPN
iajs-687	109	5	y	y	PROPN
iajs-687	109	6	y	y	PROPN
iajs-687	109	7	y	y	PROPN
iajs-687	109	8	y	y	PROPN
iajs-687	110	1	y	y	PROPN
iajs-687	110	2	y	y	PROPN
iajs-687	110	3	y	y	PROPN
iajs-687	110	4	y	y	PROPN
iajs-687	110	5	y	y	PROPN
iajs-687	110	6	z	z	PROPN
iajs-687	110	7	z	z	NOUN
iajs-687	110	8	z	z	NOUN
iajs-687	111	1	x	x	PUNCT
iajs-687	111	2	z	z	NOUN
iajs-687	111	3	z	z	NOUN
iajs-687	111	4	z	z	NOUN
iajs-687	111	5	x	x	PUNCT
iajs-687	112	1	z	z	NOUN
iajs-687	112	2	z	z	NOUN
iajs-687	112	3	z	z	NOUN
iajs-687	112	4	x	x	PUNCT
iajs-687	113	1	z	z	NOUN
iajs-687	113	2	z	z	NOUN
iajs-687	113	3	z	z	NOUN
iajs-687	113	4	x	x	PUNCT
iajs-687	113	5	w	w	PROPN
iajs-687	113	6	w	w	PROPN
iajs-687	113	7	w	w	PROPN
iajs-687	113	8	w	w	PROPN
iajs-687	113	9	w	w	PROPN
iajs-687	113	10	w	w	PROPN
iajs-687	113	11	w	w	PROPN
iajs-687	113	12	w	w	PROPN
iajs-687	113	13	w	w	PROPN
iajs-687	113	14	w	w	PROPN
iajs-687	113	15	w	w	PROPN
iajs-687	113	16	w	w	ADP
iajs-687	113	17	where	where	SCONJ
iajs-687	113	18	[	[	X
iajs-687	113	19	x1	x1	ADJ
iajs-687	113	20	,	,	PUNCT
iajs-687	113	21	x2	x2	PROPN
iajs-687	113	22	,	,	PUNCT
iajs-687	113	23	x3	x3	PROPN
iajs-687	113	24	,	,	PUNCT
iajs-687	113	25	x4	x4	PROPN
iajs-687	113	26	]	]	PUNCT
iajs-687	113	27	be	be	VERB
iajs-687	113	28	any	any	DET
iajs-687	113	29	variable	variable	ADJ
iajs-687	113	30	plane	plane	NOUN
iajs-687	113	31	passing	pass	VERB
iajs-687	113	32	through	through	ADP
iajs-687	113	33	the	the	DET
iajs-687	113	34	point	point	NOUN
iajs-687	113	35	,	,	PUNCT
iajs-687	113	36	and	and	CCONJ
iajs-687	113	37	it	it	PRON
iajs-687	113	38	’s	’	VERB
iajs-687	113	39	coordinates	coordinate	NOUN
iajs-687	113	40	are	be	AUX
iajs-687	113	41	:	:	PUNCT
iajs-687	113	42	2	2	NUM
iajs-687	113	43	3	3	NUM
iajs-687	113	44	4	4	NUM
iajs-687	113	45	3	3	NUM
iajs-687	113	46	1	1	NUM
iajs-687	113	47	4	4	NUM
iajs-687	113	48	1	1	NUM
iajs-687	113	49	2	2	NUM
iajs-687	113	50	4	4	NUM
iajs-687	113	51	3	3	NUM
iajs-687	113	52	2	2	NUM
iajs-687	113	53	1	1	NUM
iajs-687	113	54	2	2	NUM
iajs-687	113	55	3	3	NUM
iajs-687	113	56	4	4	NUM
iajs-687	113	57	3	3	NUM
iajs-687	113	58	1	1	NUM
iajs-687	113	59	4	4	NUM
iajs-687	113	60	1	1	NUM
iajs-687	113	61	2	2	NUM
iajs-687	113	62	4	4	NUM
iajs-687	113	63	3	3	NUM
iajs-687	113	64	2	2	NUM
iajs-687	113	65	1	1	NUM
iajs-687	113	66	2	2	NUM
iajs-687	113	67	3	3	NUM
iajs-687	113	68	4	4	NUM
iajs-687	113	69	3	3	NUM
iajs-687	113	70	1	1	NUM
iajs-687	113	71	4	4	NUM
iajs-687	113	72	1	1	NUM
iajs-687	113	73	2	2	NUM
iajs-687	113	74	4	4	NUM
iajs-687	113	75	3	3	NUM
iajs-687	113	76	2	2	NUM
iajs-687	113	77	1	1	NUM
iajs-687	113	78	,	,	PUNCT
iajs-687	113	79	,	,	PUNCT
iajs-687	113	80	,	,	PUNCT
iajs-687	114	1			NOUN
iajs-687	114	2			PROPN
iajs-687	114	3			PROPN
iajs-687	115	1			PROPN
iajs-687	116	1			PROPN
iajs-687	117	1			INTJ
iajs-687	118	1			PROPN
iajs-687	118	2			PROPN
iajs-687	119	1			PROPN
iajs-687	119	2			NOUN
iajs-687	120	1	y	y	VERB
iajs-687	120	2	y	y	VERB
iajs-687	120	3	y	y	PROPN
iajs-687	120	4	y	y	PROPN
iajs-687	120	5	y	y	PROPN
iajs-687	120	6	y	y	PROPN
iajs-687	120	7	y	y	PROPN
iajs-687	120	8	y	y	PROPN
iajs-687	120	9	y	y	PROPN
iajs-687	120	10	y	y	PROPN
iajs-687	120	11	y	y	PROPN
iajs-687	120	12	y	y	PROPN
iajs-687	120	13	z	z	PROPN
iajs-687	120	14	z	z	PROPN
iajs-687	120	15	z	z	NOUN
iajs-687	120	16	z	z	NOUN
iajs-687	120	17	z	z	NOUN
iajs-687	120	18	z	z	NOUN
iajs-687	120	19	z	z	NOUN
iajs-687	120	20	z	z	NOUN
iajs-687	120	21	z	z	NOUN
iajs-687	120	22	z	z	NOUN
iajs-687	120	23	z	z	NOUN
iajs-687	120	24	z	z	PROPN
iajs-687	120	25	w	w	PROPN
iajs-687	120	26	w	w	PROPN
iajs-687	120	27	w	w	PROPN
iajs-687	120	28	w	w	PROPN
iajs-687	120	29	w	w	PROPN
iajs-687	120	30	w	w	PROPN
iajs-687	120	31	w	w	PROPN
iajs-687	120	32	w	w	PROPN
iajs-687	120	33	w	w	PROPN
iajs-687	120	34	w	w	PROPN
iajs-687	120	35	w	w	PROPN
iajs-687	120	36	w	w	PROPN
iajs-687	120	37	notation	notation	NOUN
iajs-687	120	38	2.19	2.19	NUM
iajs-687	120	39	:	:	PUNCT
iajs-687	120	40	if	if	SCONJ
iajs-687	120	41	v	v	NOUN
iajs-687	120	42	is	be	AUX
iajs-687	120	43	the	the	DET
iajs-687	120	44	vector	vector	NOUN
iajs-687	120	45	with	with	ADP
iajs-687	120	46	components	component	NOUN
iajs-687	120	47	(	(	PUNCT
iajs-687	120	48	a1	a1	PROPN
iajs-687	120	49	,	,	PUNCT
iajs-687	120	50	a2	a2	PROPN
iajs-687	120	51	,	,	PUNCT
iajs-687	120	52	a3	a3	NOUN
iajs-687	120	53	,	,	PUNCT
iajs-687	120	54	a4	a4	PROPN
iajs-687	120	55	)	)	PUNCT
iajs-687	120	56	,	,	PUNCT
iajs-687	120	57	then	then	ADV
iajs-687	120	58	the	the	DET
iajs-687	120	59	symbol	symbol	NOUN
iajs-687	120	60	p(v	p(v	NOUN
iajs-687	120	61	)	)	PUNCT
iajs-687	120	62	means	mean	VERB
iajs-687	120	63	that	that	SCONJ
iajs-687	120	64	the	the	DET
iajs-687	120	65	coordinates	coordinate	NOUN
iajs-687	120	66	of	of	ADP
iajs-687	120	67	the	the	DET
iajs-687	120	68	point	point	NOUN
iajs-687	120	69	p	p	NOUN
iajs-687	120	70	are	be	AUX
iajs-687	120	71	(	(	PUNCT
iajs-687	120	72	a1	a1	PROPN
iajs-687	120	73	,	,	PUNCT
iajs-687	120	74	a2	a2	PROPN
iajs-687	120	75	,	,	PUNCT
iajs-687	120	76	a3	a3	NOUN
iajs-687	120	77	,	,	PUNCT
iajs-687	120	78	a4	a4	NOUN
iajs-687	120	79	)	)	PUNCT
iajs-687	120	80	in	in	ADP
iajs-687	120	81	a	a	DET
iajs-687	120	82	projective	projective	ADJ
iajs-687	120	83	3	3	NUM
iajs-687	120	84	–	–	PUNCT
iajs-687	120	85	space	space	NOUN
iajs-687	120	86	s	s	NOUN
iajs-687	120	87	=	=	NOUN
iajs-687	120	88	pg(3,k	pg(3,k	NOUN
iajs-687	120	89	)	)	PUNCT
iajs-687	120	90	.	.	PUNCT
iajs-687	121	1	definition	definition	NOUN
iajs-687	121	2	2.20:[3	2.20:[3	NUM
iajs-687	121	3	]	]	X
iajs-687	121	4	the	the	DET
iajs-687	121	5	points	point	NOUN
iajs-687	121	6	pi(vi	pi(vi	NOUN
iajs-687	121	7	)	)	PUNCT
iajs-687	121	8	,	,	PUNCT
iajs-687	121	9	with	with	ADP
iajs-687	121	10	i	i	PROPN
iajs-687	121	11	=	=	SYM
iajs-687	121	12	1	1	NUM
iajs-687	121	13	,	,	PUNCT
iajs-687	121	14	…	…	PUNCT
iajs-687	121	15	,	,	PUNCT
iajs-687	121	16	m	m	VERB
iajs-687	121	17	are	be	AUX
iajs-687	121	18	linearly	linearly	ADV
iajs-687	121	19	dependent	dependent	ADJ
iajs-687	121	20	or	or	CCONJ
iajs-687	121	21	independent	independent	ADJ
iajs-687	121	22	according	accord	VERB
iajs-687	121	23	as	as	SCONJ
iajs-687	121	24	the	the	DET
iajs-687	121	25	vectors	vector	NOUN
iajs-687	121	26	vi	vi	X
iajs-687	121	27	are	be	AUX
iajs-687	121	28	linearly	linearly	ADV
iajs-687	121	29	dependent	dependent	ADJ
iajs-687	121	30	or	or	CCONJ
iajs-687	121	31	independent	independent	ADJ
iajs-687	121	32	.	.	PUNCT
iajs-687	122	1	definition	definition	NOUN
iajs-687	122	2	2.21:[3	2.21:[3	NUM
iajs-687	122	3	]	]	X
iajs-687	122	4	if	if	SCONJ
iajs-687	122	5	the	the	DET
iajs-687	122	6	points	point	NOUN
iajs-687	122	7	p1	p1	NOUN
iajs-687	122	8	,	,	PUNCT
iajs-687	122	9	p2	p2	NOUN
iajs-687	122	10	,	,	PUNCT
iajs-687	122	11			PROPN
iajs-687	122	12	,	,	PUNCT
iajs-687	122	13	pm	pm	NOUN
iajs-687	122	14	are	be	AUX
iajs-687	122	15	linearly	linearly	ADV
iajs-687	122	16	dependent	dependent	ADJ
iajs-687	122	17	,	,	PUNCT
iajs-687	122	18	then	then	ADV
iajs-687	122	19	at	at	ADP
iajs-687	122	20	least	least	ADJ
iajs-687	122	21	one	one	NUM
iajs-687	122	22	of	of	ADP
iajs-687	122	23	the	the	DET
iajs-687	122	24	ci	ci	NOUN
iajs-687	122	25	’s	’s	NOUN
iajs-687	122	26	of	of	ADP
iajs-687	122	27	the	the	DET
iajs-687	122	28	equation	equation	NOUN
iajs-687	122	29	1	1	NUM
iajs-687	122	30	(	(	PUNCT
iajs-687	122	31	)	)	PUNCT
iajs-687	122	32	0	0	NUM
iajs-687	123	1			ADJ
iajs-687	123	2			PROPN
iajs-687	123	3			PROPN
iajs-687	123	4	m	m	VERB
iajs-687	124	1	i	i	INTJ
iajs-687	124	2	i	i	PRON
iajs-687	125	1	i	i	PRON
iajs-687	126	1	i	i	PRON
iajs-687	126	2	c	c	VERB
iajs-687	126	3	v	v	NOUN
iajs-687	126	4	is	be	AUX
iajs-687	126	5	not	not	PART
iajs-687	126	6	equal	equal	ADJ
iajs-687	126	7	to	to	ADP
iajs-687	126	8	zero	zero	NUM
iajs-687	126	9	,	,	PUNCT
iajs-687	126	10	say	say	VERB
iajs-687	126	11	c1	c1	PROPN
iajs-687	126	12	,	,	PUNCT
iajs-687	126	13	then	then	ADV
iajs-687	126	14	p1	p1	NOUN
iajs-687	126	15	=	=	NOUN
iajs-687	126	16	1	1	NUM
iajs-687	126	17	1	1	NUM
iajs-687	126	18	c	c	X
iajs-687	126	19	(	(	PUNCT
iajs-687	126	20	c2	c2	PROPN
iajs-687	126	21	p2	p2	PROPN
iajs-687	126	22	+	+	CCONJ
iajs-687	126	23	c3	c3	PROPN
iajs-687	126	24	p3	p3	PROPN
iajs-687	126	25	+	+	CCONJ
iajs-687	126	26			PUNCT
iajs-687	126	27	+	+	NUM
iajs-687	126	28	cm	cm	NOUN
iajs-687	126	29	pm	pm	NOUN
iajs-687	126	30	)	)	PUNCT
iajs-687	126	31	.	.	PUNCT
iajs-687	127	1	the	the	DET
iajs-687	127	2	point	point	NOUN
iajs-687	127	3	p1	p1	NOUN
iajs-687	127	4	is	be	AUX
iajs-687	127	5	then	then	ADV
iajs-687	127	6	said	say	VERB
iajs-687	127	7	to	to	PART
iajs-687	127	8	be	be	AUX
iajs-687	127	9	a	a	DET
iajs-687	127	10	linear	linear	ADJ
iajs-687	127	11	combination	combination	NOUN
iajs-687	127	12	of	of	ADP
iajs-687	127	13	the	the	DET
iajs-687	127	14	points	point	NOUN
iajs-687	127	15	p2	p2	NOUN
iajs-687	127	16	,	,	PUNCT
iajs-687	127	17	p3	p3	PROPN
iajs-687	127	18	,	,	PUNCT
iajs-687	127	19			PROPN
iajs-687	127	20	,	,	PUNCT
iajs-687	127	21	pm	pm	NOUN
iajs-687	127	22	.	.	PUNCT
iajs-687	128	1	this	this	DET
iajs-687	128	2	definition	definition	NOUN
iajs-687	128	3	may	may	AUX
iajs-687	128	4	be	be	AUX
iajs-687	128	5	dualized	dualize	VERB
iajs-687	128	6	by	by	ADP
iajs-687	128	7	replacing	replace	VERB
iajs-687	128	8	the	the	DET
iajs-687	128	9	word	word	NOUN
iajs-687	128	10	"	"	PUNCT
iajs-687	128	11	point	point	NOUN
iajs-687	128	12	"	"	PUNCT
iajs-687	128	13	by	by	ADP
iajs-687	128	14	the	the	DET
iajs-687	128	15	word	word	NOUN
iajs-687	128	16	"	"	PUNCT
iajs-687	128	17	plane	plane	NOUN
iajs-687	128	18	"	"	PUNCT
iajs-687	128	19	,	,	PUNCT
iajs-687	128	20	and	and	CCONJ
iajs-687	128	21	the	the	DET
iajs-687	128	22	geometric	geometric	ADJ
iajs-687	128	23	meaning	meaning	NOUN
iajs-687	128	24	of	of	ADP
iajs-687	128	25	linear	linear	ADJ
iajs-687	128	26	dependence	dependence	NOUN
iajs-687	128	27	of	of	ADP
iajs-687	128	28	points	point	NOUN
iajs-687	128	29	or	or	CCONJ
iajs-687	128	30	planes	plane	NOUN
iajs-687	128	31	may	may	AUX
iajs-687	128	32	now	now	ADV
iajs-687	128	33	be	be	AUX
iajs-687	128	34	given	give	VERB
iajs-687	128	35	.	.	PUNCT
iajs-687	129	1	theorem	theorem	VERB
iajs-687	129	2	2.22	2.22	NUM
iajs-687	129	3	:	:	SYM
iajs-687	129	4	two	two	NUM
iajs-687	129	5	points	point	NOUN
iajs-687	129	6	(	(	PUNCT
iajs-687	129	7	planes	plane	NOUN
iajs-687	129	8	)	)	PUNCT
iajs-687	129	9	in	in	ADP
iajs-687	129	10	pg(3,q	pg(3,q	NOUN
iajs-687	129	11	)	)	PUNCT
iajs-687	129	12	are	be	AUX
iajs-687	129	13	linearly	linearly	ADV
iajs-687	129	14	dependent	dependent	ADJ
iajs-687	129	15	iff	iff	PROPN
iajs-687	129	16	they	they	PRON
iajs-687	129	17	coincide	coincide	VERB
iajs-687	129	18	.	.	PUNCT
iajs-687	130	1	proof	proof	NOUN
iajs-687	130	2	:	:	PUNCT
iajs-687	130	3	let	let	VERB
iajs-687	130	4	p	p	NOUN
iajs-687	130	5	and	and	CCONJ
iajs-687	130	6	q	q	NOUN
iajs-687	130	7	be	be	AUX
iajs-687	130	8	any	any	DET
iajs-687	130	9	two	two	NUM
iajs-687	130	10	points	point	NOUN
iajs-687	130	11	.	.	PUNCT
iajs-687	131	1	if	if	SCONJ
iajs-687	131	2	p	p	PROPN
iajs-687	131	3	and	and	CCONJ
iajs-687	131	4	q	q	NOUN
iajs-687	131	5	are	be	AUX
iajs-687	131	6	linearly	linearly	ADV
iajs-687	131	7	dependent	dependent	ADJ
iajs-687	131	8	,	,	PUNCT
iajs-687	131	9	then	then	ADV
iajs-687	131	10	there	there	PRON
iajs-687	131	11	exist	exist	VERB
iajs-687	131	12	c1	c1	PROPN
iajs-687	131	13	and	and	CCONJ
iajs-687	131	14	c2	c2	PROPN
iajs-687	131	15	such	such	ADJ
iajs-687	131	16	that	that	PRON
iajs-687	131	17	(	(	PUNCT
iajs-687	131	18	c1	c1	PROPN
iajs-687	131	19	,	,	PUNCT
iajs-687	131	20	c2	c2	PROPN
iajs-687	131	21	)	)	PUNCT
iajs-687	131	22			PROPN
iajs-687	131	23	(	(	PUNCT
iajs-687	131	24	0,0	0,0	NOUN
iajs-687	131	25	)	)	PUNCT
iajs-687	131	26	,	,	PUNCT
iajs-687	131	27	c1	c1	PROPN
iajs-687	131	28	p	p	PROPN
iajs-687	132	1	+	+	PROPN
iajs-687	132	2	c2	c2	PROPN
iajs-687	132	3	q	q	PROPN
iajs-687	133	1	=	=	PUNCT
iajs-687	133	2	.	.	PROPN
iajs-687	133	3	if	if	SCONJ
iajs-687	133	4	c1	c1	PROPN
iajs-687	133	5	=	=	PROPN
iajs-687	133	6	0	0	PROPN
iajs-687	133	7	,	,	PUNCT
iajs-687	133	8	then	then	ADV
iajs-687	133	9	c2	c2	PROPN
iajs-687	133	10	q	q	PROPN
iajs-687	134	1	=	=	PUNCT
iajs-687	134	2	.	.	PROPN
iajs-687	134	3	this	this	PRON
iajs-687	134	4	implies	imply	VERB
iajs-687	134	5	c2	c2	PROPN
iajs-687	134	6	=	=	SYM
iajs-687	134	7	0	0	PROPN
iajs-687	134	8	,	,	PUNCT
iajs-687	134	9	since	since	SCONJ
iajs-687	134	10	q	q	PROPN
iajs-687	134	11			NOUN
iajs-687	134	12	(	(	PUNCT
iajs-687	134	13	0,0,0	0,0,0	NOUN
iajs-687	134	14	)	)	PUNCT
iajs-687	134	15	.	.	PUNCT
iajs-687	135	1	then	then	ADV
iajs-687	135	2	c1	c1	PROPN
iajs-687	135	3			PROPN
iajs-687	135	4	0	0	PUNCT
iajs-687	135	5	and	and	CCONJ
iajs-687	135	6	similarly	similarly	ADV
iajs-687	135	7	c2	c2	PROPN
iajs-687	135	8			PROPN
iajs-687	135	9	0	0	NUM
iajs-687	135	10	,	,	PUNCT
iajs-687	135	11	2	2	NUM
iajs-687	136	1	1	1	NUM
iajs-687	136	2	c	c	NOUN
iajs-687	136	3	q	q	PROPN
iajs-687	136	4	c	c	NOUN
iajs-687	136	5			PROPN
iajs-687	136	6			PROPN
iajs-687	136	7			NUM
iajs-687	136	8	.	.	PUNCT
iajs-687	137	1	this	this	PRON
iajs-687	137	2	means	mean	VERB
iajs-687	137	3	that	that	SCONJ
iajs-687	137	4	p	p	PROPN
iajs-687	137	5	and	and	CCONJ
iajs-687	137	6	q	q	NOUN
iajs-687	137	7	coincide	coincide	NOUN
iajs-687	137	8	.	.	PUNCT
iajs-687	138	1	if	if	SCONJ
iajs-687	138	2	p	p	PROPN
iajs-687	138	3	and	and	CCONJ
iajs-687	138	4	q	q	NOUN
iajs-687	138	5	are	be	AUX
iajs-687	138	6	coincide	coincide	ADJ
iajs-687	138	7	,	,	PUNCT
iajs-687	138	8	then	then	ADV
iajs-687	138	9	there	there	PRON
iajs-687	138	10	exist	exist	VERB
iajs-687	138	11	c1	c1	ADJ
iajs-687	138	12	0	0	NUM
iajs-687	138	13	,	,	PUNCT
iajs-687	138	14	c2	c2	PROPN
iajs-687	138	15			PROPN
iajs-687	138	16	0	0	NUM
iajs-687	139	1	s.t	s.t	PROPN
iajs-687	139	2	.	.	PUNCT
iajs-687	140	1	c1	c1	PROPN
iajs-687	140	2	p	p	PROPN
iajs-687	141	1	=	=	PROPN
iajs-687	141	2	c2	c2	PROPN
iajs-687	141	3	q.	q.	PROPN
iajs-687	141	4	hence	hence	ADV
iajs-687	141	5	,	,	PUNCT
iajs-687	141	6	c1	c1	PROPN
iajs-687	141	7	p	p	PROPN
iajs-687	141	8			PROPN
iajs-687	141	9	c2	c2	PROPN
iajs-687	141	10	q	q	PROPN
iajs-687	142	1	=	=	PUNCT
iajs-687	142	2			NOUN
iajs-687	142	3	and	and	CCONJ
iajs-687	142	4	thus	thus	ADV
iajs-687	142	5	p	p	NOUN
iajs-687	142	6	and	and	CCONJ
iajs-687	142	7	q	q	NOUN
iajs-687	142	8	are	be	AUX
iajs-687	142	9	linearly	linearly	ADV
iajs-687	142	10	dependent	dependent	ADJ
iajs-687	142	11	.	.	PUNCT
iajs-687	143	1	theorem	theorem	VERB
iajs-687	143	2	2.23	2.23	NUM
iajs-687	143	3	:	:	SYM
iajs-687	143	4	four	four	NUM
iajs-687	143	5	points	point	NOUN
iajs-687	143	6	in	in	ADP
iajs-687	143	7	pg(3,q	pg(3,q	NOUN
iajs-687	143	8	)	)	PUNCT
iajs-687	143	9	are	be	AUX
iajs-687	143	10	linearly	linearly	ADV
iajs-687	143	11	dependent	dependent	ADJ
iajs-687	143	12	iff	iff	NOUN
iajs-687	143	13	they	they	PRON
iajs-687	143	14	are	be	AUX
iajs-687	143	15	coplanar	coplanar	ADJ
iajs-687	143	16	.	.	PUNCT
iajs-687	144	1	proof	proof	NOUN
iajs-687	144	2	:	:	PUNCT
iajs-687	144	3	مجلة	مجلة	ADJ
iajs-687	144	4	إبن	إبن	VERB
iajs-687	144	5	الھیثم	الھیثم	NOUN
iajs-687	144	6	للعلوم	للعلوم	NOUN
iajs-687	144	7	الصرفة	الصرفة	NOUN
iajs-687	144	8	و	و	PRON
iajs-687	144	9	التطبیقیة	التطبیقیة	PROPN
iajs-687	144	10	2012	2012	NUM
iajs-687	144	11	السنة	السنة	NOUN
iajs-687	145	1	25	25	NUM
iajs-687	145	2	المجلد	المجلد	NOUN
iajs-687	145	3	1	1	NUM
iajs-687	145	4	العدد	العدد	PROPN
iajs-687	145	5	ibn	ibn	PROPN
iajs-687	145	6	al	al	PROPN
iajs-687	145	7	-	-	PUNCT
iajs-687	145	8	haitham	haitham	PROPN
iajs-687	145	9	journal	journal	PROPN
iajs-687	145	10	for	for	ADP
iajs-687	145	11	pure	pure	ADJ
iajs-687	145	12	and	and	CCONJ
iajs-687	145	13	applied	apply	VERB
iajs-687	145	14	science	science	NOUN
iajs-687	145	15	no	no	NOUN
iajs-687	145	16	.	.	NOUN
iajs-687	145	17	1	1	NUM
iajs-687	145	18	vol	vol	NOUN
iajs-687	145	19	.	.	PUNCT
iajs-687	146	1	25	25	NUM
iajs-687	146	2	year	year	NOUN
iajs-687	146	3	2012	2012	NUM
iajs-687	146	4	let	let	VERB
iajs-687	146	5	a(x1	a(x1	ADJ
iajs-687	146	6	,	,	PUNCT
iajs-687	146	7	x2	x2	PROPN
iajs-687	146	8	,	,	PUNCT
iajs-687	146	9	x3	x3	PROPN
iajs-687	146	10	,	,	PUNCT
iajs-687	146	11	x4	x4	PROPN
iajs-687	146	12	)	)	PUNCT
iajs-687	146	13	,	,	PUNCT
iajs-687	146	14	b(y1	b(y1	NOUN
iajs-687	146	15	,	,	PUNCT
iajs-687	146	16	y2	y2	PROPN
iajs-687	146	17	,	,	PUNCT
iajs-687	146	18	y3	y3	PROPN
iajs-687	146	19	,	,	PUNCT
iajs-687	146	20	y4	y4	NUM
iajs-687	146	21	)	)	PUNCT
iajs-687	146	22	,	,	PUNCT
iajs-687	146	23	c(z1	c(z1	NOUN
iajs-687	146	24	,	,	PUNCT
iajs-687	146	25	z2	z2	PROPN
iajs-687	146	26	,	,	PUNCT
iajs-687	146	27	z3	z3	PROPN
iajs-687	146	28	,	,	PUNCT
iajs-687	146	29	z4	z4	PROPN
iajs-687	146	30	)	)	PUNCT
iajs-687	146	31	,	,	PUNCT
iajs-687	146	32	and	and	CCONJ
iajs-687	146	33	d(w1	d(w1	NOUN
iajs-687	146	34	,	,	PUNCT
iajs-687	146	35	w2	w2	NOUN
iajs-687	146	36	,	,	PUNCT
iajs-687	146	37	w3	w3	PROPN
iajs-687	146	38	,	,	PUNCT
iajs-687	146	39	w4	w4	NOUN
iajs-687	146	40	)	)	PUNCT
iajs-687	146	41	be	be	VERB
iajs-687	146	42	any	any	DET
iajs-687	146	43	four	four	NUM
iajs-687	146	44	points	point	NOUN
iajs-687	146	45	in	in	ADP
iajs-687	146	46	s.	s.	PROPN
iajs-687	146	47	if	if	SCONJ
iajs-687	146	48	a	a	DET
iajs-687	146	49	,	,	PUNCT
iajs-687	146	50	b	b	NOUN
iajs-687	146	51	,	,	PUNCT
iajs-687	146	52	c	c	NOUN
iajs-687	146	53	,	,	PUNCT
iajs-687	146	54	d	d	X
iajs-687	146	55	are	be	AUX
iajs-687	146	56	linearly	linearly	ADV
iajs-687	146	57	dependent	dependent	ADJ
iajs-687	146	58	,	,	PUNCT
iajs-687	146	59	then	then	ADV
iajs-687	146	60	there	there	PRON
iajs-687	146	61	exist	exist	VERB
iajs-687	146	62	c1	c1	PROPN
iajs-687	146	63	,	,	PUNCT
iajs-687	146	64	c2	c2	PROPN
iajs-687	146	65	,	,	PUNCT
iajs-687	146	66	c3	c3	PROPN
iajs-687	146	67	and	and	CCONJ
iajs-687	146	68	c4	c4	NOUN
iajs-687	146	69	in	in	ADP
iajs-687	146	70	k	k	PROPN
iajs-687	146	71	such	such	ADJ
iajs-687	146	72	that	that	PRON
iajs-687	146	73	(	(	PUNCT
iajs-687	146	74	c1	c1	PROPN
iajs-687	146	75	,	,	PUNCT
iajs-687	146	76	c2	c2	PROPN
iajs-687	146	77	,	,	PUNCT
iajs-687	146	78	c3	c3	PROPN
iajs-687	146	79	,	,	PUNCT
iajs-687	146	80	c4	c4	NOUN
iajs-687	146	81	)	)	PUNCT
iajs-687	146	82			PROPN
iajs-687	146	83	(	(	PUNCT
iajs-687	146	84	0,0,0,0	0,0,0,0	NOUN
iajs-687	146	85	)	)	PUNCT
iajs-687	146	86	and	and	CCONJ
iajs-687	146	87	c1	c1	PROPN
iajs-687	146	88	a+	a+	PUNCT
iajs-687	146	89	c2	c2	PROPN
iajs-687	146	90	b+	b+	ADP
iajs-687	147	1	c3	c3	PROPN
iajs-687	147	2	c	c	PROPN
iajs-687	148	1	+	+	PUNCT
iajs-687	149	1	c4	c4	NOUN
iajs-687	149	2	d	d	NOUN
iajs-687	149	3	=	=	PUNCT
iajs-687	149	4			PROPN
iajs-687	149	5	c1	c1	PROPN
iajs-687	149	6	a	a	PROPN
iajs-687	150	1	+	+	X
iajs-687	150	2	c2	c2	PROPN
iajs-687	150	3	b	b	PROPN
iajs-687	151	1	+	+	CCONJ
iajs-687	151	2	c3	c3	PROPN
iajs-687	151	3	c	c	PROPN
iajs-687	152	1	+	+	PUNCT
iajs-687	152	2	c4	c4	NOUN
iajs-687	152	3	d	d	PROPN
iajs-687	152	4	=	=	PROPN
iajs-687	152	5	c1	c1	PROPN
iajs-687	152	6	(	(	PUNCT
iajs-687	152	7	x1	x1	PROPN
iajs-687	152	8	,	,	PUNCT
iajs-687	152	9	x2	x2	PROPN
iajs-687	152	10	,	,	PUNCT
iajs-687	152	11	x3	x3	ADJ
iajs-687	152	12	,	,	PUNCT
iajs-687	152	13	x4	x4	PROPN
iajs-687	152	14	)	)	PUNCT
iajs-687	152	15	+	+	CCONJ
iajs-687	152	16	c2	c2	PROPN
iajs-687	152	17	(	(	PUNCT
iajs-687	152	18	y1	y1	PROPN
iajs-687	152	19	,	,	PUNCT
iajs-687	152	20	y2	y2	PROPN
iajs-687	152	21	,	,	PUNCT
iajs-687	152	22	y3	y3	PROPN
iajs-687	152	23	,	,	PUNCT
iajs-687	152	24	y4	y4	NUM
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iajs-687	153	1	+	+	CCONJ
iajs-687	153	2	c3	c3	PROPN
iajs-687	153	3	(	(	PUNCT
iajs-687	153	4	z1	z1	PROPN
iajs-687	153	5	,	,	PUNCT
iajs-687	153	6	z2	z2	PROPN
iajs-687	153	7	,	,	PUNCT
iajs-687	153	8	z3	z3	PROPN
iajs-687	153	9	,	,	PUNCT
iajs-687	153	10	z4	z4	PROPN
iajs-687	153	11	)	)	PUNCT
iajs-687	153	12	+	+	NUM
iajs-687	153	13	c4	c4	NOUN
iajs-687	153	14	(	(	PUNCT
iajs-687	153	15	w1	w1	NOUN
iajs-687	153	16	,	,	PUNCT
iajs-687	153	17	w2	w2	NOUN
iajs-687	153	18	,	,	PUNCT
iajs-687	153	19	w3	w3	PROPN
iajs-687	153	20	,	,	PUNCT
iajs-687	153	21	w4	w4	NOUN
iajs-687	153	22	)	)	PUNCT
iajs-687	153	23	=	=	PUNCT
iajs-687	153	24	(	(	PUNCT
iajs-687	153	25	0,0,0,0	0,0,0,0	NOUN
iajs-687	153	26	)	)	PUNCT
iajs-687	153	27	c1	c1	NOUN
iajs-687	153	28	x1	x1	PROPN
iajs-687	154	1	+	+	CCONJ
iajs-687	154	2	c2	c2	PROPN
iajs-687	154	3	y1	y1	PROPN
iajs-687	154	4	+	+	CCONJ
iajs-687	154	5	c3	c3	X
iajs-687	154	6	z1	z1	PROPN
iajs-687	154	7	+	+	CCONJ
iajs-687	154	8	c4	c4	NOUN
iajs-687	154	9	w1	w1	NOUN
iajs-687	154	10	=	=	SYM
iajs-687	154	11	0	0	NUM
iajs-687	155	1	c1	c1	PROPN
iajs-687	155	2	x2	x2	PROPN
iajs-687	156	1	+	+	CCONJ
iajs-687	156	2	c2	c2	PROPN
iajs-687	156	3	y2	y2	PROPN
iajs-687	156	4	+	+	CCONJ
iajs-687	156	5	c3	c3	PROPN
iajs-687	156	6	z2	z2	PROPN
iajs-687	156	7	+	+	CCONJ
iajs-687	156	8	c4	c4	NOUN
iajs-687	156	9	w2	w2	NOUN
iajs-687	156	10	=	=	SYM
iajs-687	156	11	0	0	NUM
iajs-687	156	12	c1	c1	NOUN
iajs-687	156	13	x3	x3	PROPN
iajs-687	156	14	+	+	CCONJ
iajs-687	156	15	c2	c2	PROPN
iajs-687	156	16	y3	y3	NOUN
iajs-687	156	17	+	+	CCONJ
iajs-687	156	18	c3	c3	PROPN
iajs-687	156	19	z3	z3	PROPN
iajs-687	156	20	+	+	CCONJ
iajs-687	156	21	c4	c4	PROPN
iajs-687	156	22	w3	w3	PROPN
iajs-687	156	23	=	=	SYM
iajs-687	156	24	0	0	NUM
iajs-687	157	1	c1	c1	PROPN
iajs-687	157	2	x4	x4	PROPN
iajs-687	157	3	+	+	CCONJ
iajs-687	157	4	c2	c2	PROPN
iajs-687	157	5	y4	y4	PROPN
iajs-687	157	6	+	+	CCONJ
iajs-687	157	7	c3	c3	PROPN
iajs-687	157	8	z4	z4	PROPN
iajs-687	157	9	+	+	CCONJ
iajs-687	157	10	c4	c4	NOUN
iajs-687	157	11	w4	w4	NOUN
iajs-687	157	12	=	=	NOUN
iajs-687	157	13	0	0	NUM
iajs-687	157	14	(1	(1	X
iajs-687	157	15	)	)	PUNCT
iajs-687	157	16	this	this	DET
iajs-687	157	17	system	system	NOUN
iajs-687	157	18	has	have	VERB
iajs-687	157	19	non	non	ADJ
iajs-687	157	20	zero	zero	NUM
iajs-687	157	21	solutions	solution	NOUN
iajs-687	157	22	for	for	ADP
iajs-687	157	23	c1	c1	PROPN
iajs-687	157	24	,	,	PUNCT
iajs-687	157	25	c2	c2	PROPN
iajs-687	157	26	,	,	PUNCT
iajs-687	157	27	c3	c3	PROPN
iajs-687	157	28	,	,	PUNCT
iajs-687	157	29	c4	c4	PROPN
iajs-687	157	30	iff	iff	PROPN
iajs-687	157	31	1	1	NUM
iajs-687	157	32	2	2	NUM
iajs-687	157	33	3	3	NUM
iajs-687	157	34	41	41	NUM
iajs-687	157	35	1	1	NUM
iajs-687	157	36	1	1	NUM
iajs-687	157	37	1	1	NUM
iajs-687	157	38	1	1	NUM
iajs-687	157	39	2	2	NUM
iajs-687	157	40	3	3	NUM
iajs-687	157	41	42	42	NUM
iajs-687	157	42	2	2	NUM
iajs-687	157	43	2	2	NUM
iajs-687	157	44	2	2	NUM
iajs-687	157	45	1	1	NUM
iajs-687	157	46	2	2	NUM
iajs-687	157	47	3	3	NUM
iajs-687	157	48	43	43	NUM
iajs-687	157	49	3	3	NUM
iajs-687	157	50	3	3	NUM
iajs-687	157	51	3	3	NUM
iajs-687	157	52	1	1	NUM
iajs-687	157	53	2	2	NUM
iajs-687	157	54	3	3	NUM
iajs-687	157	55	44	44	NUM
iajs-687	157	56	4	4	NUM
iajs-687	157	57	4	4	NUM
iajs-687	157	58	4	4	NUM
iajs-687	157	59	0	0	NOUN
iajs-687	157	60			NUM
iajs-687	158	1			ADJ
iajs-687	158	2			NOUN
iajs-687	158	3	x	x	PUNCT
iajs-687	158	4	x	x	PUNCT
iajs-687	158	5	x	x	X
iajs-687	159	1	xx	xx	NUM
iajs-687	160	1	y	y	PROPN
iajs-687	160	2	z	z	PROPN
iajs-687	160	3	w	w	PROPN
iajs-687	160	4	y	y	PROPN
iajs-687	160	5	y	y	PROPN
iajs-687	160	6	y	y	PROPN
iajs-687	160	7	yx	yx	PROPN
iajs-687	160	8	y	y	PROPN
iajs-687	160	9	z	z	PROPN
iajs-687	160	10	w	w	PROPN
iajs-687	160	11	z	z	PROPN
iajs-687	160	12	z	z	NOUN
iajs-687	160	13	z	z	NOUN
iajs-687	160	14	zx	zx	NUM
iajs-687	161	1	y	y	PROPN
iajs-687	161	2	z	z	PROPN
iajs-687	161	3	w	w	PROPN
iajs-687	161	4	w	w	PROPN
iajs-687	161	5	w	w	PROPN
iajs-687	161	6	w	w	PROPN
iajs-687	161	7	wx	wx	PROPN
iajs-687	161	8	y	y	PROPN
iajs-687	161	9	z	z	PROPN
iajs-687	161	10	w	w	VERB
iajs-687	161	11	by	by	ADP
iajs-687	161	12	theorem	theorem	NOUN
iajs-687	161	13	2.14	2.14	NUM
iajs-687	161	14	the	the	DET
iajs-687	161	15	points	point	NOUN
iajs-687	161	16	a	a	DET
iajs-687	161	17	,	,	PUNCT
iajs-687	161	18	b	b	NOUN
iajs-687	161	19	,	,	PUNCT
iajs-687	161	20	c	c	NOUN
iajs-687	161	21	,	,	PUNCT
iajs-687	161	22	d	d	X
iajs-687	161	23	are	be	AUX
iajs-687	161	24	coplanar	coplanar	ADJ
iajs-687	161	25	.	.	PUNCT
iajs-687	162	1	conversely	conversely	ADV
iajs-687	162	2	,	,	PUNCT
iajs-687	162	3	if	if	SCONJ
iajs-687	162	4	the	the	DET
iajs-687	162	5	points	point	NOUN
iajs-687	162	6	a	a	DET
iajs-687	162	7	,	,	PUNCT
iajs-687	162	8	b	b	NOUN
iajs-687	162	9	,	,	PUNCT
iajs-687	162	10	c	c	NOUN
iajs-687	162	11	,	,	PUNCT
iajs-687	162	12	d	d	X
iajs-687	162	13	are	be	AUX
iajs-687	162	14	coplanar	coplanar	ADJ
iajs-687	162	15	,	,	PUNCT
iajs-687	162	16	then	then	ADV
iajs-687	162	17	1	1	NUM
iajs-687	162	18	2	2	NUM
iajs-687	162	19	3	3	NUM
iajs-687	162	20	4	4	NUM
iajs-687	162	21	1	1	NUM
iajs-687	162	22	2	2	NUM
iajs-687	162	23	3	3	NUM
iajs-687	162	24	4	4	NUM
iajs-687	162	25	1	1	NUM
iajs-687	162	26	2	2	NUM
iajs-687	162	27	3	3	NUM
iajs-687	162	28	4	4	NUM
iajs-687	162	29	1	1	NUM
iajs-687	162	30	2	2	NUM
iajs-687	162	31	3	3	NUM
iajs-687	162	32	4	4	NUM
iajs-687	162	33	0	0	NOUN
iajs-687	162	34			NUM
iajs-687	162	35			NOUN
iajs-687	162	36	x	x	PUNCT
iajs-687	162	37	x	x	PUNCT
iajs-687	162	38	x	x	PUNCT
iajs-687	162	39	x	x	PUNCT
iajs-687	162	40	y	y	VERB
iajs-687	162	41	y	y	PROPN
iajs-687	162	42	y	y	PROPN
iajs-687	162	43	y	y	PROPN
iajs-687	162	44	z	z	PROPN
iajs-687	162	45	z	z	PROPN
iajs-687	162	46	z	z	NOUN
iajs-687	162	47	z	z	PROPN
iajs-687	162	48	w	w	PROPN
iajs-687	162	49	w	w	PROPN
iajs-687	162	50	w	w	PROPN
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iajs-687	162	55	1	1	NUM
iajs-687	162	56	1	1	NUM
iajs-687	162	57	1	1	NUM
iajs-687	162	58	2	2	NUM
iajs-687	162	59	2	2	NUM
iajs-687	162	60	2	2	NUM
iajs-687	162	61	2	2	NUM
iajs-687	162	62	3	3	NUM
iajs-687	162	63	3	3	NUM
iajs-687	162	64	3	3	NUM
iajs-687	162	65	3	3	NUM
iajs-687	162	66	4	4	NUM
iajs-687	162	67	4	4	NUM
iajs-687	162	68	4	4	NUM
iajs-687	162	69	4	4	NUM
iajs-687	162	70	0	0	NUM
iajs-687	162	71	x	x	PUNCT
iajs-687	163	1	y	y	PROPN
iajs-687	163	2	z	z	PROPN
iajs-687	163	3	w	w	PROPN
iajs-687	163	4	x	x	PUNCT
iajs-687	163	5	y	y	PROPN
iajs-687	163	6	z	z	PROPN
iajs-687	163	7	w	w	PROPN
iajs-687	163	8	x	x	PUNCT
iajs-687	163	9	y	y	PROPN
iajs-687	163	10	z	z	PROPN
iajs-687	163	11	w	w	PROPN
iajs-687	163	12	x	x	PUNCT
iajs-687	163	13	y	y	PROPN
iajs-687	163	14	z	z	PROPN
iajs-687	163	15	w	w	PROPN
iajs-687	163	16	.	.	PUNCT
iajs-687	164	1	so	so	ADV
iajs-687	164	2	the	the	DET
iajs-687	164	3	system	system	NOUN
iajs-687	164	4	(	(	PUNCT
iajs-687	164	5	1	1	X
iajs-687	164	6	)	)	PUNCT
iajs-687	164	7	of	of	ADP
iajs-687	164	8	equations	equation	NOUN
iajs-687	164	9	has	have	VERB
iajs-687	164	10	non	non	ADJ
iajs-687	164	11	zero	zero	NUM
iajs-687	164	12	solutions	solution	NOUN
iajs-687	164	13	for	for	ADP
iajs-687	164	14	c1	c1	PROPN
iajs-687	164	15	,	,	PUNCT
iajs-687	164	16	c2	c2	PROPN
iajs-687	164	17	,	,	PUNCT
iajs-687	164	18	c3	c3	PROPN
iajs-687	164	19	,	,	PUNCT
iajs-687	164	20	c4	c4	NOUN
iajs-687	164	21	.	.	PUNCT
iajs-687	165	1	thus	thus	ADV
iajs-687	165	2	a	a	DET
iajs-687	165	3	,	,	PUNCT
iajs-687	165	4	b	b	NOUN
iajs-687	165	5	,	,	PUNCT
iajs-687	165	6	c	c	NOUN
iajs-687	165	7	,	,	PUNCT
iajs-687	165	8	d	d	X
iajs-687	165	9	are	be	AUX
iajs-687	165	10	linearly	linearly	ADV
iajs-687	165	11	dependent	dependent	ADJ
iajs-687	165	12	.	.	PUNCT
iajs-687	166	1	theorem	theorem	VERB
iajs-687	166	2	2.24	2.24	NUM
iajs-687	166	3	:	:	PUNCT
iajs-687	166	4	any	any	DET
iajs-687	166	5	five	five	NUM
iajs-687	166	6	points	point	NOUN
iajs-687	166	7	(	(	PUNCT
iajs-687	166	8	planes	plane	NOUN
iajs-687	166	9	)	)	PUNCT
iajs-687	166	10	in	in	ADP
iajs-687	166	11	pg(3,q	pg(3,q	NOUN
iajs-687	166	12	)	)	PUNCT
iajs-687	166	13	in	in	ADP
iajs-687	166	14	s	s	NOUN
iajs-687	166	15	are	be	AUX
iajs-687	166	16	linearly	linearly	ADV
iajs-687	166	17	dependent	dependent	ADJ
iajs-687	166	18	.	.	PUNCT
iajs-687	167	1	proof	proof	NOUN
iajs-687	167	2	:	:	PUNCT
iajs-687	167	3	let	let	VERB
iajs-687	167	4	a(a1	a(a1	NOUN
iajs-687	167	5	,	,	PUNCT
iajs-687	167	6	a2	a2	PROPN
iajs-687	167	7	,	,	PUNCT
iajs-687	167	8	a3	a3	NOUN
iajs-687	167	9	,	,	PUNCT
iajs-687	167	10	a4	a4	PROPN
iajs-687	167	11	)	)	PUNCT
iajs-687	167	12	,	,	PUNCT
iajs-687	167	13	b(b1	b(b1	NOUN
iajs-687	167	14	,	,	PUNCT
iajs-687	167	15	b2	b2	NOUN
iajs-687	167	16	,	,	PUNCT
iajs-687	167	17	b3	b3	NOUN
iajs-687	167	18	,	,	PUNCT
iajs-687	167	19	b4	b4	NOUN
iajs-687	167	20	)	)	PUNCT
iajs-687	167	21	,	,	PUNCT
iajs-687	167	22	c(c1	c(c1	NOUN
iajs-687	167	23	,	,	PUNCT
iajs-687	167	24	c2	c2	PROPN
iajs-687	167	25	,	,	PUNCT
iajs-687	167	26	c3	c3	PROPN
iajs-687	167	27	,	,	PUNCT
iajs-687	167	28	c4	c4	NOUN
iajs-687	167	29	)	)	PUNCT
iajs-687	167	30	,	,	PUNCT
iajs-687	167	31	d(d1	d(d1	NOUN
iajs-687	167	32	,	,	PUNCT
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iajs-687	167	41	,	,	PUNCT
iajs-687	167	42	e2	e2	PROPN
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iajs-687	167	44	e3	e3	NOUN
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iajs-687	167	46	e4	e4	PROPN
iajs-687	167	47	)	)	PUNCT
iajs-687	167	48	be	be	VERB
iajs-687	167	49	any	any	DET
iajs-687	167	50	five	five	NUM
iajs-687	167	51	points	point	NOUN
iajs-687	167	52	in	in	ADP
iajs-687	167	53	s.	s.	PROPN
iajs-687	167	54	let	let	VERB
iajs-687	167	55	a	a	DET
iajs-687	167	56	a	a	DET
iajs-687	167	57	+	+	NOUN
iajs-687	167	58	b	b	PROPN
iajs-687	167	59	b	b	PROPN
iajs-687	168	1	+	+	CCONJ
iajs-687	168	2	c	c	NOUN
iajs-687	168	3	c	c	NOUN
iajs-687	169	1	+	+	CCONJ
iajs-687	169	2	d	d	PROPN
iajs-687	169	3	d	d	PROPN
iajs-687	169	4	+	+	CCONJ
iajs-687	169	5	e	e	NOUN
iajs-687	169	6	e	e	NOUN
iajs-687	169	7	=	=	PUNCT
iajs-687	169	8			X
iajs-687	169	9	a	a	PRON
iajs-687	169	10	(	(	PUNCT
iajs-687	169	11	a1,a2,a3,a4	a1,a2,a3,a4	PROPN
iajs-687	169	12	)	)	PUNCT
iajs-687	169	13	+	+	NUM
iajs-687	169	14	b	b	X
iajs-687	169	15	(	(	PUNCT
iajs-687	169	16	b1,b2,b3,b4	b1,b2,b3,b4	NOUN
iajs-687	169	17	)	)	PUNCT
iajs-687	169	18	+	+	NUM
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iajs-687	169	20	(	(	PUNCT
iajs-687	169	21	c1,c2,c3,c4	c1,c2,c3,c4	PROPN
iajs-687	169	22	)	)	PUNCT
iajs-687	170	1	+	+	CCONJ
iajs-687	170	2	d	d	X
iajs-687	170	3	(	(	PUNCT
iajs-687	170	4	d1,d2,d3,d4	d1,d2,d3,d4	PROPN
iajs-687	170	5	)	)	PUNCT
iajs-687	170	6	+	+	NUM
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iajs-687	170	8	(	(	PUNCT
iajs-687	170	9	e1,e2,e3,e4	e1,e2,e3,e4	PROPN
iajs-687	170	10	)	)	PUNCT
iajs-687	170	11	=	=	NOUN
iajs-687	171	1			X
iajs-687	171	2	a	a	DET
iajs-687	171	3	a1	a1	NOUN
iajs-687	171	4	+	+	CCONJ
iajs-687	171	5	b	b	NOUN
iajs-687	171	6	b1	b1	NOUN
iajs-687	171	7	+	+	CCONJ
iajs-687	171	8	c	c	PROPN
iajs-687	171	9	c1	c1	NOUN
iajs-687	171	10	+	+	CCONJ
iajs-687	171	11	d	d	PROPN
iajs-687	171	12	d1	d1	PROPN
iajs-687	171	13	+	+	CCONJ
iajs-687	171	14	e	e	NOUN
iajs-687	171	15	e1	e1	NOUN
iajs-687	171	16	=	=	NOUN
iajs-687	171	17	0	0	PUNCT
iajs-687	171	18	a	a	DET
iajs-687	171	19	a2	a2	PROPN
iajs-687	171	20	+	+	CCONJ
iajs-687	171	21	b	b	PROPN
iajs-687	171	22	b2	b2	NOUN
iajs-687	171	23	+	+	CCONJ
iajs-687	171	24	c	c	PROPN
iajs-687	171	25	c2	c2	PROPN
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iajs-687	171	27	d	d	PROPN
iajs-687	171	28	d2	d2	PROPN
iajs-687	171	29	+	+	CCONJ
iajs-687	171	30	e	e	PROPN
iajs-687	171	31	e2	e2	NOUN
iajs-687	171	32	=	=	SYM
iajs-687	171	33	0	0	PUNCT
iajs-687	172	1	a	a	DET
iajs-687	172	2	a3	a3	NOUN
iajs-687	172	3	+	+	CCONJ
iajs-687	172	4	b	b	PROPN
iajs-687	172	5	b3	b3	PROPN
iajs-687	172	6	+	+	CCONJ
iajs-687	172	7	c	c	NOUN
iajs-687	172	8	c3	c3	NOUN
iajs-687	172	9	+	+	CCONJ
iajs-687	172	10	d	d	X
iajs-687	172	11	d3	d3	PROPN
iajs-687	172	12	+	+	CCONJ
iajs-687	172	13	e	e	NOUN
iajs-687	172	14	e3	e3	NOUN
iajs-687	172	15	=	=	SYM
iajs-687	172	16	0	0	NUM
iajs-687	172	17	a	a	DET
iajs-687	172	18	a4	a4	NOUN
iajs-687	172	19	+	+	CCONJ
iajs-687	172	20	b	b	NOUN
iajs-687	172	21	b4	b4	NOUN
iajs-687	172	22	+	+	CCONJ
iajs-687	172	23	c	c	NOUN
iajs-687	172	24	c4	c4	NOUN
iajs-687	172	25	+	+	CCONJ
iajs-687	172	26	d	d	PROPN
iajs-687	172	27	d4	d4	PROPN
iajs-687	172	28	+	+	CCONJ
iajs-687	172	29	e	e	PROPN
iajs-687	172	30	e4	e4	NOUN
iajs-687	172	31	=	=	SYM
iajs-687	172	32	0	0	PUNCT
iajs-687	173	1	this	this	DET
iajs-687	173	2	system	system	NOUN
iajs-687	173	3	of	of	ADP
iajs-687	173	4	4	4	NUM
iajs-687	173	5	linear	linear	ADJ
iajs-687	173	6	homogeneous	homogeneous	ADJ
iajs-687	173	7	equations	equation	NOUN
iajs-687	173	8	in	in	ADP
iajs-687	173	9	5	5	NUM
iajs-687	173	10	unknowns	unknown	NOUN
iajs-687	173	11	a	a	DET
iajs-687	173	12	,	,	PUNCT
iajs-687	173	13	b	b	NOUN
iajs-687	173	14	,	,	PUNCT
iajs-687	173	15	c	c	NOUN
iajs-687	173	16	,	,	PUNCT
iajs-687	173	17	d	d	NOUN
iajs-687	173	18	,	,	PUNCT
iajs-687	173	19	e	e	NOUN
iajs-687	173	20	has	have	VERB
iajs-687	173	21	non	non	ADJ
iajs-687	173	22	trivial	trivial	ADJ
iajs-687	173	23	solutions	solution	NOUN
iajs-687	173	24	since	since	SCONJ
iajs-687	173	25	4	4	NUM
iajs-687	173	26	<	<	X
iajs-687	173	27	5	5	NUM
iajs-687	173	28	.	.	PUNCT
iajs-687	173	29	then	then	ADV
iajs-687	173	30	a	a	DET
iajs-687	173	31	,	,	PUNCT
iajs-687	173	32	b	b	NOUN
iajs-687	173	33	,	,	PUNCT
iajs-687	173	34	c	c	NOUN
iajs-687	173	35	,	,	PUNCT
iajs-687	173	36	d	d	NOUN
iajs-687	173	37	,	,	PUNCT
iajs-687	173	38	e	e	PRON
iajs-687	173	39	are	be	AUX
iajs-687	173	40	linearly	linearly	ADV
iajs-687	173	41	dependent	dependent	ADJ
iajs-687	173	42	.	.	PUNCT
iajs-687	174	1	theorem	theorem	VERB
iajs-687	174	2	2.25	2.25	NUM
iajs-687	174	3	:	:	PUNCT
iajs-687	174	4	مجلة	مجلة	NOUN
iajs-687	174	5	إبن	إبن	VERB
iajs-687	174	6	الھیثم	الھیثم	NOUN
iajs-687	174	7	للعلوم	للعلوم	NOUN
iajs-687	174	8	الصرفة	الصرفة	NOUN
iajs-687	174	9	و	و	PRON
iajs-687	174	10	التطبیقیة	التطبیقیة	PROPN
iajs-687	174	11	2012	2012	NUM
iajs-687	174	12	السنة	السنة	NOUN
iajs-687	175	1	25	25	NUM
iajs-687	175	2	المجلد	المجلد	NOUN
iajs-687	175	3	1	1	NUM
iajs-687	175	4	العدد	العدد	PROPN
iajs-687	175	5	ibn	ibn	PROPN
iajs-687	175	6	al	al	PROPN
iajs-687	175	7	-	-	PUNCT
iajs-687	175	8	haitham	haitham	PROPN
iajs-687	175	9	journal	journal	PROPN
iajs-687	175	10	for	for	ADP
iajs-687	175	11	pure	pure	ADJ
iajs-687	175	12	and	and	CCONJ
iajs-687	175	13	applied	apply	VERB
iajs-687	175	14	science	science	NOUN
iajs-687	175	15	no	no	NOUN
iajs-687	175	16	.	.	NOUN
iajs-687	175	17	1	1	NUM
iajs-687	175	18	vol	vol	NOUN
iajs-687	175	19	.	.	PUNCT
iajs-687	176	1	25	25	NUM
iajs-687	176	2	year	year	NOUN
iajs-687	176	3	2012	2012	NUM
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iajs-687	176	5	pg(3,q	pg(3,q	NOUN
iajs-687	176	6	)	)	PUNCT
iajs-687	176	7	if	if	SCONJ
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iajs-687	176	9	,	,	PUNCT
iajs-687	176	10	p2	p2	NOUN
iajs-687	176	11	,	,	PUNCT
iajs-687	176	12			PROPN
iajs-687	176	13	,	,	PUNCT
iajs-687	176	14	pm	pm	NOUN
iajs-687	176	15	are	be	AUX
iajs-687	176	16	linearly	linearly	ADV
iajs-687	176	17	independent	independent	ADJ
iajs-687	176	18	points	point	NOUN
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iajs-687	176	21	,	,	PUNCT
iajs-687	176	22	p2	p2	NOUN
iajs-687	176	23	,	,	PUNCT
iajs-687	176	24			PROPN
iajs-687	176	25	,	,	PUNCT
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iajs-687	176	27	+	+	CCONJ
iajs-687	176	28	1	1	NUM
iajs-687	176	29	are	be	AUX
iajs-687	176	30	linearly	linearly	ADV
iajs-687	176	31	dependent	dependent	ADJ
iajs-687	176	32	,	,	PUNCT
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iajs-687	176	34	the	the	DET
iajs-687	176	35	coordinates	coordinate	NOUN
iajs-687	176	36	of	of	ADP
iajs-687	176	37	the	the	DET
iajs-687	176	38	points	point	NOUN
iajs-687	176	39	may	may	AUX
iajs-687	176	40	be	be	AUX
iajs-687	176	41	chosen	choose	VERB
iajs-687	176	42	so	so	SCONJ
iajs-687	176	43	that	that	SCONJ
iajs-687	176	44	p1	p1	NOUN
iajs-687	176	45	+	+	CCONJ
iajs-687	176	46	p2	p2	PROPN
iajs-687	176	47	+	+	CCONJ
iajs-687	176	48			PUNCT
iajs-687	176	49	+	+	CCONJ
iajs-687	176	50	pm	pm	NOUN
iajs-687	176	51	=	=	PUNCT
iajs-687	176	52	pm	pm	NOUN
iajs-687	176	53	+	+	NOUN
iajs-687	177	1	1	1	X
iajs-687	177	2	.	.	X
iajs-687	177	3	proof	proof	NOUN
iajs-687	177	4	:	:	PUNCT
iajs-687	177	5	since	since	SCONJ
iajs-687	177	6	the	the	DET
iajs-687	177	7	points	point	NOUN
iajs-687	177	8	p1	p1	NOUN
iajs-687	177	9	,	,	PUNCT
iajs-687	177	10	p2	p2	NOUN
iajs-687	177	11	,	,	PUNCT
iajs-687	177	12			PROPN
iajs-687	177	13	,	,	PUNCT
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iajs-687	178	1	+	+	CCONJ
iajs-687	178	2	1	1	NUM
iajs-687	178	3	are	be	AUX
iajs-687	178	4	linearly	linearly	ADV
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iajs-687	178	12			PROPN
iajs-687	178	13	,	,	PUNCT
iajs-687	178	14	cm	cm	PROPN
iajs-687	178	15	+	+	CCONJ
iajs-687	178	16	1	1	NUM
iajs-687	178	17			NOUN
iajs-687	178	18	0	0	NUM
iajs-687	178	19	,	,	PUNCT
iajs-687	178	20	0	0	NUM
iajs-687	178	21	,	,	PUNCT
iajs-687	178	22			PROPN
iajs-687	178	23	,	,	PUNCT
iajs-687	178	24	0	0	NUM
iajs-687	178	25	exist	exist	VERB
iajs-687	178	26	such	such	ADJ
iajs-687	178	27	that	that	SCONJ
iajs-687	178	28	c1	c1	PROPN
iajs-687	178	29	p1(v1	p1(v1	NOUN
iajs-687	178	30	)	)	PUNCT
iajs-687	178	31	+	+	CCONJ
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iajs-687	178	33	p2(v2	p2(v2	NOUN
iajs-687	178	34	)	)	PUNCT
iajs-687	178	35	+	+	CCONJ
iajs-687	178	36			PUNCT
iajs-687	178	37	+	+	CCONJ
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iajs-687	178	39	pm(vm	pm(vm	PROPN
iajs-687	178	40	)	)	PUNCT
iajs-687	179	1	+	+	NUM
iajs-687	179	2	cm	cm	NOUN
iajs-687	179	3	+	+	CCONJ
iajs-687	179	4	1	1	NUM
iajs-687	179	5	p	p	NOUN
iajs-687	179	6	m	m	NOUN
iajs-687	179	7	+	+	NOUN
iajs-687	179	8	1(v	1(v	NUM
iajs-687	179	9	m	m	VERB
iajs-687	179	10	+	+	NOUN
iajs-687	179	11	1	1	NUM
iajs-687	179	12	)	)	PUNCT
iajs-687	179	13	=	=	NOUN
iajs-687	179	14	.	.	PROPN
iajs-687	179	15	now	now	ADV
iajs-687	179	16	,	,	PUNCT
iajs-687	179	17	cm	cm	PROPN
iajs-687	179	18	+	+	CCONJ
iajs-687	179	19	1	1	NUM
iajs-687	179	20			NOUN
iajs-687	179	21	0	0	NUM
iajs-687	179	22	,	,	PUNCT
iajs-687	179	23	for	for	ADP
iajs-687	179	24	otherwise	otherwise	ADV
iajs-687	179	25	the	the	DET
iajs-687	179	26	points	point	NOUN
iajs-687	179	27	p1	p1	NOUN
iajs-687	179	28	,	,	PUNCT
iajs-687	179	29	p2	p2	NOUN
iajs-687	179	30	,	,	PUNCT
iajs-687	179	31			PROPN
iajs-687	179	32	,	,	PUNCT
iajs-687	179	33	pm	pm	NOUN
iajs-687	179	34	would	would	AUX
iajs-687	179	35	be	be	AUX
iajs-687	179	36	dependent	dependent	ADJ
iajs-687	179	37	contrary	contrary	ADV
iajs-687	179	38	to	to	ADP
iajs-687	179	39	hypothesis	hypothesis	NOUN
iajs-687	179	40	.	.	PUNCT
iajs-687	180	1	the	the	DET
iajs-687	180	2	equation	equation	NOUN
iajs-687	180	3	may	may	AUX
iajs-687	180	4	,	,	PUNCT
iajs-687	180	5	therefore	therefore	ADV
iajs-687	180	6	,	,	PUNCT
iajs-687	180	7	be	be	AUX
iajs-687	180	8	solved	solve	VERB
iajs-687	180	9	for	for	ADP
iajs-687	180	10	pm	pm	NOUN
iajs-687	180	11	+	+	CCONJ
iajs-687	180	12	1	1	NUM
iajs-687	180	13	giving	give	VERB
iajs-687	180	14	pm	pm	NOUN
iajs-687	180	15	+	+	CCONJ
iajs-687	180	16	1	1	NUM
iajs-687	180	17	=	=	SYM
iajs-687	180	18	m	m	VERB
iajs-687	180	19	1	1	NUM
iajs-687	180	20	1	1	NUM
iajs-687	180	21	c	c	NOUN
iajs-687	180	22			X
iajs-687	180	23			PROPN
iajs-687	180	24	[	[	PUNCT
iajs-687	180	25	c1	c1	NOUN
iajs-687	180	26	p1(v1	p1(v1	PROPN
iajs-687	180	27	)	)	PUNCT
iajs-687	180	28	+	+	NUM
iajs-687	180	29			PUNCT
iajs-687	180	30	+	+	CCONJ
iajs-687	180	31	cm	cm	PROPN
iajs-687	180	32	pm(vm	pm(vm	PROPN
iajs-687	180	33	)	)	PUNCT
iajs-687	180	34	]	]	PUNCT
iajs-687	181	1	=	=	PUNCT
iajs-687	181	2	k1	k1	NOUN
iajs-687	181	3	p1(v1	p1(v1	NOUN
iajs-687	181	4	)	)	PUNCT
iajs-687	181	5	+	+	NUM
iajs-687	181	6			PUNCT
iajs-687	181	7	+	+	CCONJ
iajs-687	181	8	km	km	PROPN
iajs-687	181	9	pm(vm	pm(vm	PROPN
iajs-687	181	10	)	)	PUNCT
iajs-687	181	11	=	=	PUNCT
iajs-687	181	12	p1(k1	p1(k1	NUM
iajs-687	181	13	v1	v1	NOUN
iajs-687	181	14	)	)	PUNCT
iajs-687	181	15	+	+	NUM
iajs-687	181	16			X
iajs-687	181	17	+	+	CCONJ
iajs-687	181	18	pm(km	pm(km	PROPN
iajs-687	181	19	vm	vm	NOUN
iajs-687	181	20	)	)	PUNCT
iajs-687	181	21	where	where	SCONJ
iajs-687	181	22	1	1	NUM
iajs-687	181	23			VERB
iajs-687	182	1			PROPN
iajs-687	183	1	i	i	PRON
iajs-687	183	2	i	i	PRON
iajs-687	183	3	m	m	VERB
iajs-687	183	4	c	c	VERB
iajs-687	183	5	k	k	PROPN
iajs-687	183	6	c	c	PROPN
iajs-687	183	7	,	,	PUNCT
iajs-687	183	8	i	i	PRON
iajs-687	183	9	=	=	NOUN
iajs-687	183	10	1	1	NUM
iajs-687	183	11	,	,	PUNCT
iajs-687	183	12			PROPN
iajs-687	183	13	,	,	PUNCT
iajs-687	183	14	m	m	VERB
iajs-687	183	15	or	or	CCONJ
iajs-687	183	16	dropping	drop	VERB
iajs-687	183	17	the	the	DET
iajs-687	183	18	symbols	symbol	NOUN
iajs-687	183	19	ki	ki	PROPN
iajs-687	183	20	vi	vi	PROPN
iajs-687	183	21	,	,	PUNCT
iajs-687	183	22	pm	pm	NOUN
iajs-687	183	23	+	+	CCONJ
iajs-687	183	24	1	1	NUM
iajs-687	183	25	=	=	NOUN
iajs-687	183	26	p1	p1	NOUN
iajs-687	183	27	+	+	CCONJ
iajs-687	183	28	p2++pm	p2++pm	NOUN
iajs-687	183	29	.	.	NOUN
iajs-687	183	30	theorem	theorem	VERB
iajs-687	183	31	2.26	2.26	NUM
iajs-687	183	32	:	:	PUNCT
iajs-687	183	33	in	in	ADP
iajs-687	183	34	pg(3,q	pg(3,q	NOUN
iajs-687	183	35	)	)	PUNCT
iajs-687	183	36	a	a	DET
iajs-687	183	37	point	point	NOUN
iajs-687	183	38	d	d	NOUN
iajs-687	183	39	is	be	AUX
iajs-687	183	40	on	on	ADP
iajs-687	183	41	the	the	DET
iajs-687	183	42	plane	plane	NOUN
iajs-687	183	43	determined	determine	VERB
iajs-687	183	44	by	by	ADP
iajs-687	183	45	three	three	NUM
iajs-687	183	46	distinct	distinct	ADJ
iajs-687	183	47	points	point	NOUN
iajs-687	183	48	a	a	DET
iajs-687	183	49	,	,	PUNCT
iajs-687	183	50	b	b	NOUN
iajs-687	183	51	,	,	PUNCT
iajs-687	184	1	c	c	PROPN
iajs-687	184	2	iff	iff	PROPN
iajs-687	184	3	d	d	PROPN
iajs-687	184	4	is	be	AUX
iajs-687	184	5	a	a	DET
iajs-687	184	6	linear	linear	ADJ
iajs-687	184	7	combination	combination	NOUN
iajs-687	184	8	of	of	ADP
iajs-687	184	9	a	a	DET
iajs-687	184	10	,	,	PUNCT
iajs-687	184	11	b	b	NOUN
iajs-687	184	12	,	,	PUNCT
iajs-687	184	13	c.	c.	NOUN
iajs-687	184	14	proof	proof	NOUN
iajs-687	184	15	:	:	PUNCT
iajs-687	184	16	if	if	SCONJ
iajs-687	184	17	d	d	NOUN
iajs-687	184	18	is	be	AUX
iajs-687	184	19	on	on	ADP
iajs-687	184	20	the	the	DET
iajs-687	184	21	plane	plane	NOUN
iajs-687	184	22	determined	determine	VERB
iajs-687	184	23	by	by	ADP
iajs-687	184	24	three	three	NUM
iajs-687	184	25	distinct	distinct	ADJ
iajs-687	184	26	points	point	NOUN
iajs-687	184	27	,	,	PUNCT
iajs-687	184	28	then	then	ADV
iajs-687	184	29	a	a	DET
iajs-687	184	30	,	,	PUNCT
iajs-687	184	31	b	b	PROPN
iajs-687	184	32	,	,	PUNCT
iajs-687	184	33	c	c	NOUN
iajs-687	184	34	,	,	PUNCT
iajs-687	184	35	d	d	X
iajs-687	184	36	are	be	AUX
iajs-687	184	37	coplanar	coplanar	ADJ
iajs-687	184	38	.	.	PUNCT
iajs-687	185	1	by	by	ADP
iajs-687	185	2	theorem	theorem	NOUN
iajs-687	185	3	(	(	PUNCT
iajs-687	185	4	5	5	NUM
iajs-687	185	5	)	)	PUNCT
iajs-687	185	6	,	,	PUNCT
iajs-687	185	7	they	they	PRON
iajs-687	185	8	are	be	AUX
iajs-687	185	9	linearly	linearly	ADV
iajs-687	185	10	dependent	dependent	ADJ
iajs-687	185	11	,	,	PUNCT
iajs-687	185	12	there	there	PRON
iajs-687	185	13	exist	exist	VERB
iajs-687	185	14	constants	constant	NOUN
iajs-687	185	15	a	a	DET
iajs-687	185	16	,	,	PUNCT
iajs-687	185	17	b	b	NOUN
iajs-687	185	18	,	,	PUNCT
iajs-687	185	19	c	c	NOUN
iajs-687	185	20	,	,	PUNCT
iajs-687	185	21	d	d	X
iajs-687	185	22	such	such	ADJ
iajs-687	185	23	that	that	SCONJ
iajs-687	185	24	not	not	PART
iajs-687	185	25	all	all	PRON
iajs-687	185	26	of	of	ADP
iajs-687	185	27	them	they	PRON
iajs-687	185	28	are	be	AUX
iajs-687	185	29	zero	zero	NUM
iajs-687	185	30	and	and	CCONJ
iajs-687	185	31	a	a	DET
iajs-687	185	32	a	a	DET
iajs-687	185	33	+	+	NOUN
iajs-687	185	34	b	b	PROPN
iajs-687	185	35	b	b	PROPN
iajs-687	186	1	+	+	CCONJ
iajs-687	186	2	c	c	NOUN
iajs-687	186	3	c	c	NOUN
iajs-687	187	1	+	+	CCONJ
iajs-687	187	2	d	d	X
iajs-687	187	3	d	d	SYM
iajs-687	187	4	=	=	SYM
iajs-687	187	5	.	.	X
iajs-687	187	6	if	if	SCONJ
iajs-687	187	7	d	d	PROPN
iajs-687	187	8	=	=	SYM
iajs-687	187	9	0	0	NUM
iajs-687	187	10	,	,	PUNCT
iajs-687	187	11	then	then	ADV
iajs-687	187	12	a	a	DET
iajs-687	187	13	a	a	DET
iajs-687	187	14	+	+	NOUN
iajs-687	187	15	b	b	PROPN
iajs-687	187	16	b	b	PROPN
iajs-687	188	1	+	+	CCONJ
iajs-687	188	2	c	c	NOUN
iajs-687	188	3	c	c	NOUN
iajs-687	188	4	=	=	PUNCT
iajs-687	188	5			NOUN
iajs-687	188	6	,	,	PUNCT
iajs-687	188	7	which	which	PRON
iajs-687	188	8	implies	imply	VERB
iajs-687	188	9	that	that	SCONJ
iajs-687	188	10	a	a	DET
iajs-687	188	11	=	=	SYM
iajs-687	188	12	b	b	NOUN
iajs-687	188	13	=	=	SYM
iajs-687	188	14	c	c	NOUN
iajs-687	188	15	=	=	SYM
iajs-687	188	16	0	0	PROPN
iajs-687	188	17	,	,	PUNCT
iajs-687	188	18	since	since	SCONJ
iajs-687	188	19	a	a	DET
iajs-687	188	20	,	,	PUNCT
iajs-687	188	21	b	b	NOUN
iajs-687	188	22	,	,	PUNCT
iajs-687	188	23	c	c	PROPN
iajs-687	188	24	are	be	AUX
iajs-687	188	25	linearly	linearly	ADV
iajs-687	188	26	independent	independent	ADJ
iajs-687	188	27	,	,	PUNCT
iajs-687	188	28	which	which	PRON
iajs-687	188	29	is	be	AUX
iajs-687	188	30	a	a	DET
iajs-687	188	31	contradiction	contradiction	NOUN
iajs-687	188	32	.	.	PUNCT
iajs-687	189	1	since	since	SCONJ
iajs-687	189	2	any	any	DET
iajs-687	189	3	three	three	NUM
iajs-687	189	4	noncollinear	noncollinear	ADJ
iajs-687	189	5	points	point	NOUN
iajs-687	189	6	in	in	ADP
iajs-687	189	7	the	the	DET
iajs-687	189	8	plane	plane	NOUN
iajs-687	189	9	are	be	AUX
iajs-687	189	10	linearly	linearly	ADV
iajs-687	189	11	independent	independent	ADJ
iajs-687	189	12	,	,	PUNCT
iajs-687	189	13	[	[	X
iajs-687	189	14	3	3	NUM
iajs-687	189	15	]	]	PUNCT
iajs-687	189	16	.	.	PUNCT
iajs-687	190	1	so	so	ADV
iajs-687	190	2	d	d	PROPN
iajs-687	190	3			NOUN
iajs-687	190	4	0	0	NUM
iajs-687	190	5	,	,	PUNCT
iajs-687	190	6	and	and	CCONJ
iajs-687	190	7	then	then	ADV
iajs-687	190	8	d	d	X
iajs-687	190	9	=	=	PUNCT
iajs-687	190	10	(	(	PUNCT
iajs-687	190	11	)	)	PUNCT
iajs-687	190	12			VERB
iajs-687	190	13	a	a	DET
iajs-687	190	14	d	d	NOUN
iajs-687	190	15	a	a	PRON
iajs-687	190	16	+	+	X
iajs-687	190	17	(	(	PUNCT
iajs-687	190	18	)	)	PUNCT
iajs-687	190	19			NOUN
iajs-687	190	20	b	b	PROPN
iajs-687	190	21	d	d	X
iajs-687	190	22	b	b	PROPN
iajs-687	190	23	+	+	CCONJ
iajs-687	190	24	(	(	PUNCT
iajs-687	190	25	)	)	PUNCT
iajs-687	190	26			NOUN
iajs-687	190	27	c	c	NOUN
iajs-687	191	1	d	d	X
iajs-687	191	2	c	c	NOUN
iajs-687	191	3	thus	thus	ADV
iajs-687	191	4	d	d	PRON
iajs-687	191	5	is	be	AUX
iajs-687	191	6	a	a	DET
iajs-687	191	7	linear	linear	ADJ
iajs-687	191	8	combination	combination	NOUN
iajs-687	191	9	of	of	ADP
iajs-687	191	10	a	a	DET
iajs-687	191	11	,	,	PUNCT
iajs-687	191	12	b	b	NOUN
iajs-687	191	13	,	,	PUNCT
iajs-687	191	14	c.	c.	PROPN
iajs-687	191	15	suppose	suppose	VERB
iajs-687	191	16	d	d	X
iajs-687	191	17	is	be	AUX
iajs-687	191	18	a	a	DET
iajs-687	191	19	linear	linear	ADJ
iajs-687	191	20	combination	combination	NOUN
iajs-687	191	21	of	of	ADP
iajs-687	191	22	a	a	DET
iajs-687	191	23	,	,	PUNCT
iajs-687	191	24	b	b	NOUN
iajs-687	191	25	,	,	PUNCT
iajs-687	191	26	c	c	NOUN
iajs-687	191	27	,	,	PUNCT
iajs-687	191	28	then	then	ADV
iajs-687	191	29	there	there	PRON
iajs-687	191	30	exist	exist	VERB
iajs-687	191	31	constants	constant	NOUN
iajs-687	191	32	c1	c1	PROPN
iajs-687	191	33	,	,	PUNCT
iajs-687	191	34	c2	c2	PROPN
iajs-687	191	35	,	,	PUNCT
iajs-687	191	36	c3	c3	PROPN
iajs-687	191	37	not	not	PART
iajs-687	191	38	all	all	PRON
iajs-687	191	39	of	of	ADP
iajs-687	191	40	them	they	PRON
iajs-687	191	41	are	be	AUX
iajs-687	191	42	zero	zero	NUM
iajs-687	191	43	such	such	ADJ
iajs-687	191	44	that	that	SCONJ
iajs-687	191	45	:	:	PUNCT
iajs-687	191	46	d	d	X
iajs-687	191	47	=	=	SYM
iajs-687	191	48	c1	c1	PROPN
iajs-687	191	49	a	a	PROPN
iajs-687	192	1	+	+	X
iajs-687	192	2	c2	c2	PROPN
iajs-687	192	3	b	b	PROPN
iajs-687	193	1	+	+	CCONJ
iajs-687	193	2	c3	c3	PROPN
iajs-687	193	3	c	c	PROPN
iajs-687	193	4	,	,	PUNCT
iajs-687	193	5	which	which	PRON
iajs-687	193	6	implies	imply	VERB
iajs-687	193	7	c1	c1	PROPN
iajs-687	193	8	a	a	PROPN
iajs-687	194	1	+	+	PROPN
iajs-687	194	2	c2	c2	PROPN
iajs-687	194	3	b	b	PROPN
iajs-687	195	1	+	+	CCONJ
iajs-687	195	2	c3	c3	PROPN
iajs-687	195	3	c	c	PROPN
iajs-687	195	4	+	+	CCONJ
iajs-687	195	5	(	(	PUNCT
iajs-687	195	6	–	–	PUNCT
iajs-687	195	7	1	1	NUM
iajs-687	195	8	)	)	PUNCT
iajs-687	195	9	d	d	NOUN
iajs-687	195	10	=	=	PUNCT
iajs-687	195	11			NOUN
iajs-687	195	12	,	,	PUNCT
iajs-687	195	13	then	then	ADV
iajs-687	195	14	it	it	PRON
iajs-687	195	15	follows	follow	VERB
iajs-687	195	16	that	that	SCONJ
iajs-687	195	17	a	a	DET
iajs-687	195	18	,	,	PUNCT
iajs-687	195	19	b	b	NOUN
iajs-687	195	20	,	,	PUNCT
iajs-687	195	21	c	c	NOUN
iajs-687	195	22	,	,	PUNCT
iajs-687	195	23	d	d	X
iajs-687	195	24	are	be	AUX
iajs-687	195	25	linearly	linearly	ADV
iajs-687	195	26	dependent	dependent	ADJ
iajs-687	195	27	.	.	PUNCT
iajs-687	196	1	by	by	ADP
iajs-687	196	2	theorem	theorem	NOUN
iajs-687	196	3	(	(	PUNCT
iajs-687	196	4	5	5	NUM
iajs-687	196	5	)	)	PUNCT
iajs-687	196	6	,	,	PUNCT
iajs-687	196	7	the	the	DET
iajs-687	196	8	points	point	NOUN
iajs-687	196	9	a	a	DET
iajs-687	196	10	,	,	PUNCT
iajs-687	196	11	b	b	NOUN
iajs-687	196	12	,	,	PUNCT
iajs-687	196	13	c	c	NOUN
iajs-687	196	14	,	,	PUNCT
iajs-687	196	15	d	d	X
iajs-687	196	16	are	be	AUX
iajs-687	196	17	coplanar	coplanar	ADJ
iajs-687	196	18	.	.	PUNCT
iajs-687	197	1	references	reference	NOUN
iajs-687	197	2	1	1	NUM
iajs-687	197	3	.	.	PUNCT
iajs-687	198	1	al	al	PROPN
iajs-687	198	2	-	-	PUNCT
iajs-687	198	3	mukhtar	mukhtar	PROPN
iajs-687	198	4	,	,	PUNCT
iajs-687	198	5	a.sh	a.sh	PROPN
iajs-687	198	6	.	.	PUNCT
iajs-687	198	7	(	(	PUNCT
iajs-687	198	8	2008	2008	NUM
iajs-687	198	9	)	)	PUNCT
iajs-687	198	10	complete	complete	ADJ
iajs-687	198	11	arcs	arc	NOUN
iajs-687	198	12	and	and	CCONJ
iajs-687	198	13	surfaces	surface	NOUN
iajs-687	198	14	in	in	ADP
iajs-687	198	15	three	three	NUM
iajs-687	198	16	dimensional	dimensional	ADJ
iajs-687	198	17	projective	projective	ADJ
iajs-687	198	18	space	space	NOUN
iajs-687	198	19	over	over	ADP
iajs-687	198	20	galois	galois	PROPN
iajs-687	198	21	field	field	NOUN
iajs-687	198	22	,	,	PUNCT
iajs-687	198	23	ph.d	ph.d	PROPN
iajs-687	198	24	.	.	PUNCT
iajs-687	199	1	thesis	thesis	NOUN
iajs-687	199	2	,	,	PUNCT
iajs-687	199	3	university	university	NOUN
iajs-687	199	4	of	of	ADP
iajs-687	199	5	technology	technology	NOUN
iajs-687	199	6	,	,	PUNCT
iajs-687	199	7	iraq	iraq	PROPN
iajs-687	199	8	.	.	PUNCT
iajs-687	200	1	2	2	X
iajs-687	200	2	.	.	X
iajs-687	200	3	kirdar	kirdar	PROPN
iajs-687	200	4	,	,	PUNCT
iajs-687	200	5	m.s	m.s	PROPN
iajs-687	200	6	.	.	PROPN
iajs-687	200	7	and	and	CCONJ
iajs-687	200	8	al	al	PROPN
iajs-687	200	9	-	-	PUNCT
iajs-687	200	10	mukhtar	mukhtar	PROPN
iajs-687	200	11	,	,	PUNCT
iajs-687	200	12	a.sh	a.sh	PROPN
iajs-687	200	13	.	.	PUNCT
iajs-687	200	14	(	(	PUNCT
iajs-687	200	15	2009	2009	NUM
iajs-687	200	16	)	)	PUNCT
iajs-687	200	17	engineering	engineering	NOUN
iajs-687	200	18	and	and	CCONJ
iajs-687	200	19	technology	technology	NOUN
iajs-687	200	20	journal	journal	NOUN
iajs-687	200	21	,	,	PUNCT
iajs-687	200	22	on	on	ADP
iajs-687	200	23	projective	projective	ADJ
iajs-687	200	24	3	3	NUM
iajs-687	200	25	-	-	PUNCT
iajs-687	200	26	space	space	NOUN
iajs-687	200	27	,	,	PUNCT
iajs-687	200	28	vol.27(8	vol.27(8	NUM
iajs-687	200	29	):	):	PUNCT
iajs-687	200	30	مجلة	مجلة	PROPN
iajs-687	200	31	إبن	إبن	VERB
iajs-687	200	32	الھیثم	الھیثم	NOUN
iajs-687	200	33	للعلوم	للعلوم	NOUN
iajs-687	200	34	الصرفة	الصرفة	NOUN
iajs-687	200	35	و	و	PRON
iajs-687	200	36	التطبیقیة	التطبیقیة	PROPN
iajs-687	200	37	2012	2012	NUM
iajs-687	200	38	السنة	السنة	NOUN
iajs-687	201	1	25	25	NUM
iajs-687	201	2	المجلد	المجلد	NOUN
iajs-687	201	3	1	1	NUM
iajs-687	201	4	العدد	العدد	PROPN
iajs-687	201	5	ibn	ibn	PROPN
iajs-687	201	6	al	al	PROPN
iajs-687	201	7	-	-	PUNCT
iajs-687	201	8	haitham	haitham	PROPN
iajs-687	201	9	journal	journal	PROPN
iajs-687	201	10	for	for	ADP
iajs-687	201	11	pure	pure	ADJ
iajs-687	201	12	and	and	CCONJ
iajs-687	201	13	applied	apply	VERB
iajs-687	201	14	science	science	NOUN
iajs-687	201	15	no	no	NOUN
iajs-687	201	16	.	.	NOUN
iajs-687	201	17	1	1	NUM
iajs-687	201	18	vol	vol	NOUN
iajs-687	201	19	.	.	PUNCT
iajs-687	202	1	25	25	NUM
iajs-687	202	2	year	year	NOUN
iajs-687	202	3	2012	2012	NUM
iajs-687	202	4	3	3	NUM
iajs-687	202	5	.	.	PUNCT
iajs-687	203	1	hirschfeld	hirschfeld	PROPN
iajs-687	203	2	,	,	PUNCT
iajs-687	203	3	j.	j.	PROPN
iajs-687	203	4	w.	w.	PROPN
iajs-687	203	5	p.	p.	PROPN
iajs-687	203	6	(	(	PUNCT
iajs-687	203	7	1998	1998	NUM
iajs-687	203	8	)	)	PUNCT
iajs-687	203	9	projective	projective	NOUN
iajs-687	203	10	geometries	geometry	NOUN
iajs-687	203	11	over	over	ADP
iajs-687	203	12	finite	finite	ADJ
iajs-687	203	13	fields	field	NOUN
iajs-687	203	14	,	,	PUNCT
iajs-687	203	15	second	second	ADJ
iajs-687	203	16	edition	edition	NOUN
iajs-687	203	17	,	,	PUNCT
iajs-687	203	18	oxford	oxford	PROPN
iajs-687	203	19	university	university	PROPN
iajs-687	203	20	press	press	NOUN
iajs-687	203	21	.	.	PUNCT
iajs-687	204	1	مجلة	مجلة	PROPN
iajs-687	204	2	إبن	إبن	VERB
iajs-687	204	3	الھیثم	الھیثم	NOUN
iajs-687	204	4	للعلوم	للعلوم	NOUN
iajs-687	204	5	الصرفة	الصرفة	NOUN
iajs-687	204	6	و	و	PRON
iajs-687	204	7	التطبیقیة	التطبیقیة	PROPN
iajs-687	204	8	2012	2012	NUM
iajs-687	204	9	السنة	السنة	NOUN
iajs-687	205	1	25	25	NUM
iajs-687	205	2	المجلد	المجلد	NOUN
iajs-687	205	3	1	1	NUM
iajs-687	205	4	العدد	العدد	PROPN
iajs-687	205	5	ibn	ibn	PROPN
iajs-687	205	6	al	al	PROPN
iajs-687	205	7	-	-	PUNCT
iajs-687	205	8	haitham	haitham	PROPN
iajs-687	205	9	journal	journal	PROPN
iajs-687	205	10	for	for	ADP
iajs-687	205	11	pure	pure	ADJ
iajs-687	205	12	and	and	CCONJ
iajs-687	205	13	applied	apply	VERB
iajs-687	205	14	science	science	NOUN
iajs-687	205	15	no	no	NOUN
iajs-687	205	16	.	.	NOUN
iajs-687	205	17	1	1	NUM
iajs-687	205	18	vol	vol	NOUN
iajs-687	205	19	.	.	PUNCT
iajs-687	206	1	25	25	NUM
iajs-687	206	2	year	year	NOUN
iajs-687	206	3	2012	2012	NUM
iajs-687	206	4	حول	حول	PROPN
iajs-687	206	5	الفضاء	الفضاء	PROPN
iajs-687	206	6	الثالثي	الثالثي	PROPN
iajs-687	206	7	االسقاطي	االسقاطي	PROPN
iajs-687	206	8	حول	حول	PROPN
iajs-687	206	9	حقل	حقل	PROPN
iajs-687	206	10	كالوا	كالوا	PROPN
iajs-687	206	11	آمال	آمال	PROPN
iajs-687	206	12	شهاب	شهاب	PROPN
iajs-687	206	13	المختار	المختار	PROPN
iajs-687	206	14	جامعة	جامعة	PROPN
iajs-687	206	15	بغداد	بغداد	PROPN
iajs-687	206	16	،	،	PROPN
iajs-687	206	17	ابن	ابن	PROPN
iajs-687	206	18	الهیثم	الهیثم	PROPN
iajs-687	206	19	-كلیة	-كلیة	PROPN
iajs-687	206	20	التربیة	التربیة	NOUN
iajs-687	206	21	،	،	NOUN
iajs-687	206	22	قسم	قسم	PROPN
iajs-687	206	23	الریاضیات	الریاضیات	VERB
iajs-687	206	24	2011	2011	NUM
iajs-687	206	25	حزیران	حزیران	PROPN
iajs-687	206	26	16	16	NUM
iajs-687	206	27	:	:	PUNCT
iajs-687	206	28	قبل	قبل	PROPN
iajs-687	206	29	البحث	البحث	NOUN
iajs-687	206	30	في	في	ADP
iajs-687	206	31	2011	2011	NUM
iajs-687	206	32	آیار	آیار	NOUN
iajs-687	206	33	11	11	NUM
iajs-687	206	34	:	:	PUNCT
iajs-687	206	35	استلم	استلم	PROPN
iajs-687	206	36	البحث	البحث	VERB
iajs-687	206	37	في	في	SCONJ
iajs-687	206	38	الخالصة	الخالصة	PROPN
iajs-687	206	39	ــقاطي	ــقاطي	PROPN
iajs-687	206	40	ــاء	ــاء	VERB
iajs-687	206	41	تعریـــف	تعریـــف	PROPN
iajs-687	206	42	الفــــضاء	الفــــضاء	VERB
iajs-687	206	43	الثالثـــي	الثالثـــي	PROPN
iajs-687	207	1	االســ	االســ	NOUN
iajs-687	207	2	ــث	ــث	PROPN
iajs-687	207	3	هـــو	هـــو	NOUN
iajs-687	207	4	إعطــ	إعطــ	PROPN
iajs-687	207	5	ــالوا	ــالوا	PROPN
iajs-687	207	6	pg(3,q)الغـــرض	pg(3,q)الغـــرض	NOUN
iajs-687	208	1	مــــن	مــــن	NOUN
iajs-687	208	2	هـــذا	هـــذا	NOUN
iajs-687	208	3	البحــ	البحــ	NOUN
iajs-687	208	4	ـــل	ـــل	VERB
iajs-687	208	5	كــ	كــ	ADJ
iajs-687	208	6	،	،	NOUN
iajs-687	208	7	gf(q	gf(q	NOUN
iajs-687	208	8	)	)	PUNCT
iajs-687	209	1	فـــي	فـــي	PROPN
iajs-687	209	2	حقـ	حقـ	PROPN
iajs-687	210	1	q	q	NOUN
iajs-687	210	2	=	=	PUNCT
iajs-687	210	3	p	p	X
iajs-687	210	4	m	m	PROPN
iajs-687	210	5	لبعض	لبعض	NOUN
iajs-687	210	6	قیم	قیم	PROPN
iajs-687	210	7	،	،	PROPN
iajs-687	210	8	p	p	PROPN
iajs-687	211	1	و	و	PRON
iajs-687	211	2	m	m	VERB
iajs-687	211	3	اذ	اذ	PROPN
iajs-687	211	4	ان،p	ان،p	PUNCT
iajs-687	211	5	عدد	عدد	PROPN
iajs-687	211	6	أولي	أولي	NOUN
iajs-687	211	7	و	و	PRON
iajs-687	211	8	mكذلك	mكذلك	NOUN
iajs-687	211	9	تقدیم	تقدیم	VERB
iajs-687	211	10	تعریف	تعریف	NOUN
iajs-687	212	1	المستوي	المستوي	PROPN
iajs-687	212	2	في	في	X
iajs-687	212	3	.	.	PUNCT
iajs-687	213	1	عدد	عدد	PROPN
iajs-687	213	2	صحیحpg(3,q	صحیحpg(3,q	PROPN
iajs-687	213	3	)	)	PUNCT
iajs-687	213	4	ونص	ونص	PROPN
iajs-687	214	1	.pg(3,q)مبدأ	.pg(3,q)مبدأ	PROPN
iajs-687	214	2	الثنائیة	الثنائیة	ADJ
iajs-687	214	3	وبرهنت	وبرهنت	NOUN
iajs-687	214	4	بعض	بعض	NOUN
iajs-687	214	5	المبرهنات	المبرهنات	VERB
iajs-687	214	6	في	في	X
iajs-687	214	7	.	.	PUNCT
iajs-687	215	1	مستوي	مستوي	PROPN
iajs-687	215	2	،	،	PROPN
iajs-687	215	3	مبدأ	مبدأ	PROPN
iajs-687	215	4	الثنائیة	الثنائیة	PROPN
iajs-687	215	5	،	،	PROPN
iajs-687	215	6	حقل	حقل	PROPN
iajs-687	215	7	كالوا	كالوا	NOUN
iajs-687	215	8	:	:	PUNCT
iajs-687	215	9	الكلمات	الكلمات	VERB
iajs-687	215	10	المفتاحیة	المفتاحیة	ADV