id	sid	tid	token	lemma	pos
20165	1	1	CLXIII	CLXIII	NNP
20165	1	2	.	.	.
20165	2	1	Some	some	DT
20165	2	2	Observations	observation	NNS
20165	2	3	on	on	IN
20165	2	4	Real	Real	NNP
20165	2	5	Light	Light	NNP
20165	2	6	and	and	CC
20165	2	7	Shade	Shade	NNP
20165	2	8	253	253	CD
20165	2	9	CLXIV	CLXIV	NNS
20165	2	10	.	.	.
20165	3	1	Reflection	reflection	NN
20165	3	2	257	257	CD
20165	3	3	CLXV	CLXV	NNP
20165	3	4	.	.	.
20165	4	1	Angles	angle	NNS
20165	4	2	of	of	IN
20165	4	3	Reflection	Reflection	NNP
20165	4	4	259	259	CD
20165	4	5	CLXVI	CLXVI	NNS
20165	4	6	.	.	.
20165	5	1	Reflections	reflection	NNS
20165	5	2	of	of	IN
20165	5	3	Objects	object	NNS
20165	5	4	at	at	IN
20165	5	5	Different	different	JJ
20165	5	6	Distances	distance	NNS
20165	5	7	260	260	CD
20165	5	8	CLXVII	clxvii	NN
20165	5	9	.	.	.
20165	6	1	Reflection	reflection	NN
20165	6	2	in	in	IN
20165	6	3	a	a	DT
20165	6	4	Looking	look	VBG
20165	6	5	-	-	HYPH
20165	6	6	glass	glass	NN
20165	6	7	262	262	CD
20165	6	8	CLXVIII	CLXVIII	NNS
20165	6	9	.	.	.
20165	7	1	The	the	DT
20165	7	2	Mirror	Mirror	NNP
20165	7	3	at	at	IN
20165	7	4	an	an	DT
20165	7	5	Angle	Angle	NNP
20165	7	6	264	264	CD
20165	7	7	CLXIX	clxix	NN
20165	7	8	.	.	.
20165	8	1	The	the	DT
20165	8	2	Upright	Upright	NNP
20165	8	3	Mirror	Mirror	NNP
20165	8	4	at	at	IN
20165	8	5	an	an	DT
20165	8	6	Angle	angle	NN
20165	8	7	of	of	IN
20165	8	8	45	45	CD
20165	8	9	°	°	NNS
20165	8	10	to	to	IN
20165	8	11	the	the	DT
20165	8	12	Wall	Wall	NNP
20165	8	13	266	266	CD
20165	8	14	CLXX	CLXX	NNPS
20165	8	15	.	.	.
20165	9	1	Mental	Mental	NNP
20165	9	2	Perspective	Perspective	NNP
20165	9	3	269	269	CD
20165	9	4	BOOK	BOOK	NNS
20165	9	5	FIRST	first	RB
20165	9	6	THE	the	DT
20165	9	7	NECESSITY	NECESSITY	NNP
20165	9	8	OF	of	IN
20165	9	9	THE	the	DT
20165	9	10	STUDY	STUDY	NNP
20165	9	11	OF	of	IN
20165	9	12	PERSPECTIVE	perspective	NN
20165	9	13	TO	to	IN
20165	9	14	PAINTERS	painter	NNS
20165	9	15	,	,	,
20165	9	16	SCULPTORS	sculptors	NN
20165	9	17	,	,	,
20165	9	18	AND	and	CC
20165	9	19	ARCHITECTS	ARCHITECTS	NNP
20165	9	20	Leonardo	Leonardo	NNP
20165	9	21	da	da	NNP
20165	9	22	Vinci	Vinci	NNP
20165	9	23	tells	tell	VBZ
20165	9	24	us	-PRON-	PRP
20165	9	25	in	in	IN
20165	9	26	his	-PRON-	PRP$
20165	9	27	celebrated	celebrate	VBN
20165	9	28	_	_	NNP
20165	9	29	Treatise	Treatise	NNP
20165	9	30	on	on	IN
20165	9	31	Painting	Painting	NNP
20165	9	32	_	_	NNP
20165	9	33	that	that	IN
20165	9	34	the	the	DT
20165	9	35	young	young	JJ
20165	9	36	artist	artist	NN
20165	9	37	should	should	MD
20165	9	38	first	first	RB
20165	9	39	of	of	IN
20165	9	40	all	all	DT
20165	9	41	learn	learn	VB
20165	9	42	perspective	perspective	NN
20165	9	43	,	,	,
20165	9	44	that	that	DT
20165	9	45	is	be	VBZ
20165	9	46	to	to	TO
20165	9	47	say	say	VB
20165	9	48	,	,	,
20165	9	49	he	-PRON-	PRP
20165	9	50	should	should	MD
20165	9	51	first	first	RB
20165	9	52	of	of	IN
20165	9	53	all	all	DT
20165	9	54	learn	learn	VB
20165	9	55	that	that	IN
20165	9	56	he	-PRON-	PRP
20165	9	57	has	have	VBZ
20165	9	58	to	to	TO
20165	9	59	depict	depict	VB
20165	9	60	on	on	IN
20165	9	61	a	a	DT
20165	9	62	flat	flat	JJ
20165	9	63	surface	surface	NN
20165	9	64	objects	object	NNS
20165	9	65	which	which	WDT
20165	9	66	are	be	VBP
20165	9	67	in	in	IN
20165	9	68	relief	relief	NN
20165	9	69	or	or	CC
20165	9	70	distant	distant	VB
20165	9	71	one	one	NN
20165	9	72	from	from	IN
20165	9	73	the	the	DT
20165	9	74	other	other	JJ
20165	9	75	;	;	:
20165	9	76	for	for	IN
20165	9	77	this	this	DT
20165	9	78	is	be	VBZ
20165	9	79	the	the	DT
20165	9	80	simple	simple	JJ
20165	9	81	art	art	NN
20165	9	82	of	of	IN
20165	9	83	painting	painting	NN
20165	9	84	.	.	.
20165	10	1	Objects	object	NNS
20165	10	2	appear	appear	VBP
20165	10	3	smaller	small	JJR
20165	10	4	at	at	IN
20165	10	5	a	a	DT
20165	10	6	distance	distance	NN
20165	10	7	than	than	IN
20165	10	8	near	near	RB
20165	10	9	to	to	IN
20165	10	10	us	-PRON-	PRP
20165	10	11	,	,	,
20165	10	12	so	so	RB
20165	10	13	by	by	IN
20165	10	14	drawing	draw	VBG
20165	10	15	them	-PRON-	PRP
20165	10	16	thus	thus	RB
20165	10	17	we	-PRON-	PRP
20165	10	18	give	give	VBP
20165	10	19	depth	depth	NN
20165	10	20	to	to	IN
20165	10	21	our	-PRON-	PRP$
20165	10	22	canvas	canvas	NN
20165	10	23	.	.	.
20165	11	1	The	the	DT
20165	11	2	outline	outline	NN
20165	11	3	of	of	IN
20165	11	4	a	a	DT
20165	11	5	ball	ball	NN
20165	11	6	is	be	VBZ
20165	11	7	a	a	DT
20165	11	8	mere	mere	JJ
20165	11	9	flat	flat	JJ
20165	11	10	circle	circle	NN
20165	11	11	,	,	,
20165	11	12	but	but	CC
20165	11	13	with	with	IN
20165	11	14	proper	proper	JJ
20165	11	15	shading	shading	NN
20165	11	16	we	-PRON-	PRP
20165	11	17	make	make	VBP
20165	11	18	it	-PRON-	PRP
20165	11	19	appear	appear	VB
20165	11	20	round	round	JJ
20165	11	21	,	,	,
20165	11	22	and	and	CC
20165	11	23	this	this	DT
20165	11	24	is	be	VBZ
20165	11	25	the	the	DT
20165	11	26	perspective	perspective	NN
20165	11	27	of	of	IN
20165	11	28	light	light	NN
20165	11	29	and	and	CC
20165	11	30	shade	shade	NN
20165	11	31	.	.	.
20165	12	1	'	'	``
20165	12	2	The	the	DT
20165	12	3	next	next	JJ
20165	12	4	thing	thing	NN
20165	12	5	to	to	TO
20165	12	6	be	be	VB
20165	12	7	considered	consider	VBN
20165	12	8	is	be	VBZ
20165	12	9	the	the	DT
20165	12	10	effect	effect	NN
20165	12	11	of	of	IN
20165	12	12	the	the	DT
20165	12	13	atmosphere	atmosphere	NN
20165	12	14	and	and	CC
20165	12	15	light	light	NN
20165	12	16	.	.	.
20165	13	1	If	if	IN
20165	13	2	two	two	CD
20165	13	3	figures	figure	NNS
20165	13	4	are	be	VBP
20165	13	5	in	in	IN
20165	13	6	the	the	DT
20165	13	7	same	same	JJ
20165	13	8	coloured	coloured	JJ
20165	13	9	dress	dress	NN
20165	13	10	,	,	,
20165	13	11	and	and	CC
20165	13	12	are	be	VBP
20165	13	13	standing	stand	VBG
20165	13	14	one	one	CD
20165	13	15	behind	behind	IN
20165	13	16	the	the	DT
20165	13	17	other	other	JJ
20165	13	18	,	,	,
20165	13	19	then	then	RB
20165	13	20	they	-PRON-	PRP
20165	13	21	should	should	MD
20165	13	22	be	be	VB
20165	13	23	of	of	IN
20165	13	24	slightly	slightly	RB
20165	13	25	different	different	JJ
20165	13	26	tone	tone	NN
20165	13	27	,	,	,
20165	13	28	so	so	IN
20165	13	29	as	as	IN
20165	13	30	to	to	TO
20165	13	31	separate	separate	VB
20165	13	32	them	-PRON-	PRP
20165	13	33	.	.	.
20165	14	1	And	and	CC
20165	14	2	in	in	IN
20165	14	3	like	like	JJ
20165	14	4	manner	manner	NN
20165	14	5	,	,	,
20165	14	6	according	accord	VBG
20165	14	7	to	to	IN
20165	14	8	the	the	DT
20165	14	9	distance	distance	NN
20165	14	10	of	of	IN
20165	14	11	the	the	DT
20165	14	12	mountains	mountain	NNS
20165	14	13	in	in	IN
20165	14	14	a	a	DT
20165	14	15	landscape	landscape	NN
20165	14	16	and	and	CC
20165	14	17	the	the	DT
20165	14	18	greater	great	JJR
20165	14	19	or	or	CC
20165	14	20	less	less	JJR
20165	14	21	density	density	NN
20165	14	22	of	of	IN
20165	14	23	the	the	DT
20165	14	24	air	air	NN
20165	14	25	,	,	,
20165	14	26	so	so	RB
20165	14	27	do	do	VBP
20165	14	28	we	-PRON-	PRP
20165	14	29	depict	depict	VB
20165	14	30	space	space	NN
20165	14	31	between	between	IN
20165	14	32	them	-PRON-	PRP
20165	14	33	,	,	,
20165	14	34	not	not	RB
20165	14	35	only	only	RB
20165	14	36	making	make	VBG
20165	14	37	them	-PRON-	PRP
20165	14	38	smaller	small	JJR
20165	14	39	in	in	IN
20165	14	40	outline	outline	NN
20165	14	41	,	,	,
20165	14	42	but	but	CC
20165	14	43	less	less	RBR
20165	14	44	distinct	distinct	JJ
20165	14	45	.	.	.
20165	15	1	'	'	``
20165	15	2	[	[	-LRB-
20165	15	3	1	1	CD
20165	15	4	]	]	-RRB-
20165	15	5	[	[	-LRB-
20165	15	6	Footnote	footnote	NN
20165	15	7	1	1	CD
20165	15	8	:	:	:
20165	15	9	Leonardo	Leonardo	NNP
20165	15	10	da	da	NNP
20165	15	11	Vinci	Vinci	NNP
20165	15	12	's	's	POS
20165	15	13	_	_	NNP
20165	15	14	Treatise	Treatise	NNP
20165	15	15	on	on	IN
20165	15	16	Painting	Painting	NNP
20165	15	17	_	_	NNP
20165	15	18	.	.	.
20165	15	19	]	]	-RRB-
20165	16	1	Sir	Sir	NNP
20165	16	2	Edwin	Edwin	NNP
20165	16	3	Landseer	Landseer	NNP
20165	16	4	used	use	VBD
20165	16	5	to	to	TO
20165	16	6	say	say	VB
20165	16	7	that	that	IN
20165	16	8	in	in	IN
20165	16	9	looking	look	VBG
20165	16	10	at	at	IN
20165	16	11	a	a	DT
20165	16	12	figure	figure	NN
20165	16	13	in	in	IN
20165	16	14	a	a	DT
20165	16	15	picture	picture	NN
20165	16	16	he	-PRON-	PRP
20165	16	17	liked	like	VBD
20165	16	18	to	to	TO
20165	16	19	feel	feel	VB
20165	16	20	that	that	IN
20165	16	21	he	-PRON-	PRP
20165	16	22	could	could	MD
20165	16	23	walk	walk	VB
20165	16	24	round	round	IN
20165	16	25	it	-PRON-	PRP
20165	16	26	,	,	,
20165	16	27	and	and	CC
20165	16	28	this	this	DT
20165	16	29	exactly	exactly	RB
20165	16	30	expresses	express	VBZ
20165	16	31	the	the	DT
20165	16	32	impression	impression	NN
20165	16	33	that	that	IN
20165	16	34	the	the	DT
20165	16	35	true	true	JJ
20165	16	36	art	art	NN
20165	16	37	of	of	IN
20165	16	38	painting	painting	NN
20165	16	39	should	should	MD
20165	16	40	make	make	VB
20165	16	41	upon	upon	IN
20165	16	42	the	the	DT
20165	16	43	spectator	spectator	NN
20165	16	44	.	.	.
20165	17	1	There	there	EX
20165	17	2	is	be	VBZ
20165	17	3	another	another	DT
20165	17	4	observation	observation	NN
20165	17	5	of	of	IN
20165	17	6	Leonardo	Leonardo	NNP
20165	17	7	's	's	POS
20165	17	8	that	that	IN
20165	17	9	it	-PRON-	PRP
20165	17	10	is	be	VBZ
20165	17	11	well	well	UH
20165	17	12	I	-PRON-	PRP
20165	17	13	should	should	MD
20165	17	14	here	here	RB
20165	17	15	transcribe	transcribe	VB
20165	17	16	;	;	:
20165	17	17	he	-PRON-	PRP
20165	17	18	says	say	VBZ
20165	17	19	:	:	:
20165	17	20	'	'	``
20165	17	21	Many	many	JJ
20165	17	22	are	be	VBP
20165	17	23	desirous	desirous	JJ
20165	17	24	of	of	IN
20165	17	25	learning	learn	VBG
20165	17	26	to	to	TO
20165	17	27	draw	draw	VB
20165	17	28	,	,	,
20165	17	29	and	and	CC
20165	17	30	are	be	VBP
20165	17	31	very	very	RB
20165	17	32	fond	fond	JJ
20165	17	33	of	of	IN
20165	17	34	it	-PRON-	PRP
20165	17	35	,	,	,
20165	17	36	who	who	WP
20165	17	37	are	be	VBP
20165	17	38	notwithstanding	notwithstanding	RB
20165	17	39	void	void	JJ
20165	17	40	of	of	IN
20165	17	41	a	a	DT
20165	17	42	proper	proper	JJ
20165	17	43	disposition	disposition	NN
20165	17	44	for	for	IN
20165	17	45	it	-PRON-	PRP
20165	17	46	.	.	.
20165	18	1	This	this	DT
20165	18	2	may	may	MD
20165	18	3	be	be	VB
20165	18	4	known	know	VBN
20165	18	5	by	by	IN
20165	18	6	their	-PRON-	PRP$
20165	18	7	want	want	NN
20165	18	8	of	of	IN
20165	18	9	perseverance	perseverance	NN
20165	18	10	;	;	:
20165	18	11	like	like	IN
20165	18	12	boys	boy	NNS
20165	18	13	who	who	WP
20165	18	14	draw	draw	VBP
20165	18	15	everything	everything	NN
20165	18	16	in	in	IN
20165	18	17	a	a	DT
20165	18	18	hurry	hurry	NN
20165	18	19	,	,	,
20165	18	20	never	never	RB
20165	18	21	finishing	finish	VBG
20165	18	22	or	or	CC
20165	18	23	shadowing	shadow	VBG
20165	18	24	.	.	.
20165	18	25	'	'	''
20165	19	1	This	this	DT
20165	19	2	shows	show	VBZ
20165	19	3	they	-PRON-	PRP
20165	19	4	do	do	VBP
20165	19	5	not	not	RB
20165	19	6	care	care	VB
20165	19	7	for	for	IN
20165	19	8	their	-PRON-	PRP$
20165	19	9	work	work	NN
20165	19	10	,	,	,
20165	19	11	and	and	CC
20165	19	12	all	all	DT
20165	19	13	instruction	instruction	NN
20165	19	14	is	be	VBZ
20165	19	15	thrown	throw	VBN
20165	19	16	away	away	RP
20165	19	17	upon	upon	IN
20165	19	18	them	-PRON-	PRP
20165	19	19	.	.	.
20165	20	1	At	at	IN
20165	20	2	the	the	DT
20165	20	3	present	present	JJ
20165	20	4	time	time	NN
20165	20	5	there	there	EX
20165	20	6	is	be	VBZ
20165	20	7	too	too	RB
20165	20	8	much	much	JJ
20165	20	9	of	of	IN
20165	20	10	this	this	DT
20165	20	11	'	'	``
20165	20	12	everything	everything	NN
20165	20	13	in	in	IN
20165	20	14	a	a	DT
20165	20	15	hurry	hurry	NN
20165	20	16	'	'	''
20165	20	17	,	,	,
20165	20	18	and	and	CC
20165	20	19	beginning	begin	VBG
20165	20	20	in	in	IN
20165	20	21	this	this	DT
20165	20	22	way	way	NN
20165	20	23	leads	lead	VBZ
20165	20	24	only	only	RB
20165	20	25	to	to	IN
20165	20	26	failure	failure	NN
20165	20	27	and	and	CC
20165	20	28	disappointment	disappointment	NN
20165	20	29	.	.	.
20165	21	1	These	these	DT
20165	21	2	observations	observation	NNS
20165	21	3	apply	apply	VBP
20165	21	4	equally	equally	RB
20165	21	5	to	to	TO
20165	21	6	perspective	perspective	VB
20165	21	7	as	as	IN
20165	21	8	to	to	IN
20165	21	9	drawing	drawing	NN
20165	21	10	and	and	CC
20165	21	11	painting	painting	NN
20165	21	12	.	.	.
20165	22	1	Unfortunately	unfortunately	RB
20165	22	2	,	,	,
20165	22	3	this	this	DT
20165	22	4	study	study	NN
20165	22	5	is	be	VBZ
20165	22	6	too	too	RB
20165	22	7	often	often	RB
20165	22	8	neglected	neglect	VBN
20165	22	9	by	by	IN
20165	22	10	our	-PRON-	PRP$
20165	22	11	painters	painter	NNS
20165	22	12	,	,	,
20165	22	13	some	some	DT
20165	22	14	of	of	IN
20165	22	15	them	-PRON-	PRP
20165	22	16	even	even	RB
20165	22	17	complacently	complacently	RB
20165	22	18	confessing	confess	VBG
20165	22	19	their	-PRON-	PRP$
20165	22	20	ignorance	ignorance	NN
20165	22	21	of	of	IN
20165	22	22	it	-PRON-	PRP
20165	22	23	;	;	:
20165	22	24	while	while	IN
20165	22	25	the	the	DT
20165	22	26	ordinary	ordinary	JJ
20165	22	27	student	student	NN
20165	22	28	either	either	CC
20165	22	29	turns	turn	VBZ
20165	22	30	from	from	IN
20165	22	31	it	-PRON-	PRP
20165	22	32	with	with	IN
20165	22	33	distaste	distaste	NN
20165	22	34	,	,	,
20165	22	35	or	or	CC
20165	22	36	only	only	RB
20165	22	37	endures	endure	NNS
20165	22	38	going	go	VBG
20165	22	39	through	through	IN
20165	22	40	it	-PRON-	PRP
20165	22	41	with	with	IN
20165	22	42	a	a	DT
20165	22	43	view	view	NN
20165	22	44	to	to	IN
20165	22	45	passing	pass	VBG
20165	22	46	an	an	DT
20165	22	47	examination	examination	NN
20165	22	48	,	,	,
20165	22	49	little	little	JJ
20165	22	50	thinking	thinking	NN
20165	22	51	of	of	IN
20165	22	52	what	what	WDT
20165	22	53	value	value	NN
20165	22	54	it	-PRON-	PRP
20165	22	55	will	will	MD
20165	22	56	be	be	VB
20165	22	57	to	to	IN
20165	22	58	him	-PRON-	PRP
20165	22	59	in	in	IN
20165	22	60	working	work	VBG
20165	22	61	out	out	RP
20165	22	62	his	-PRON-	PRP$
20165	22	63	pictures	picture	NNS
20165	22	64	.	.	.
20165	23	1	Whether	whether	IN
20165	23	2	the	the	DT
20165	23	3	manner	manner	NN
20165	23	4	of	of	IN
20165	23	5	teaching	teach	VBG
20165	23	6	perspective	perspective	NN
20165	23	7	is	be	VBZ
20165	23	8	the	the	DT
20165	23	9	cause	cause	NN
20165	23	10	of	of	IN
20165	23	11	this	this	DT
20165	23	12	dislike	dislike	NN
20165	23	13	for	for	IN
20165	23	14	it	-PRON-	PRP
20165	23	15	,	,	,
20165	23	16	I	-PRON-	PRP
20165	23	17	can	can	MD
20165	23	18	not	not	RB
20165	23	19	say	say	VB
20165	23	20	;	;	:
20165	23	21	but	but	CC
20165	23	22	certainly	certainly	RB
20165	23	23	most	most	JJS
20165	23	24	of	of	IN
20165	23	25	our	-PRON-	PRP$
20165	23	26	English	english	JJ
20165	23	27	books	book	NNS
20165	23	28	on	on	IN
20165	23	29	the	the	DT
20165	23	30	subject	subject	NN
20165	23	31	are	be	VBP
20165	23	32	anything	anything	NN
20165	23	33	but	but	CC
20165	23	34	attractive	attractive	JJ
20165	23	35	.	.	.
20165	24	1	All	all	PDT
20165	24	2	the	the	DT
20165	24	3	great	great	JJ
20165	24	4	masters	master	NNS
20165	24	5	of	of	IN
20165	24	6	painting	painting	NN
20165	24	7	have	have	VBP
20165	24	8	also	also	RB
20165	24	9	been	be	VBN
20165	24	10	masters	master	NNS
20165	24	11	of	of	IN
20165	24	12	perspective	perspective	NN
20165	24	13	,	,	,
20165	24	14	for	for	IN
20165	24	15	they	-PRON-	PRP
20165	24	16	knew	know	VBD
20165	24	17	that	that	IN
20165	24	18	without	without	IN
20165	24	19	it	-PRON-	PRP
20165	24	20	,	,	,
20165	24	21	it	-PRON-	PRP
20165	24	22	would	would	MD
20165	24	23	be	be	VB
20165	24	24	impossible	impossible	JJ
20165	24	25	to	to	TO
20165	24	26	carry	carry	VB
20165	24	27	out	out	RP
20165	24	28	their	-PRON-	PRP$
20165	24	29	grand	grand	JJ
20165	24	30	compositions	composition	NNS
20165	24	31	.	.	.
20165	25	1	In	in	IN
20165	25	2	many	many	JJ
20165	25	3	cases	case	NNS
20165	25	4	they	-PRON-	PRP
20165	25	5	were	be	VBD
20165	25	6	even	even	RB
20165	25	7	inspired	inspire	VBN
20165	25	8	by	by	IN
20165	25	9	it	-PRON-	PRP
20165	25	10	in	in	IN
20165	25	11	choosing	choose	VBG
20165	25	12	their	-PRON-	PRP$
20165	25	13	subjects	subject	NNS
20165	25	14	.	.	.
20165	26	1	When	when	WRB
20165	26	2	one	one	CD
20165	26	3	looks	look	VBZ
20165	26	4	at	at	IN
20165	26	5	those	those	DT
20165	26	6	sunny	sunny	JJ
20165	26	7	interiors	interior	NNS
20165	26	8	,	,	,
20165	26	9	those	those	DT
20165	26	10	corridors	corridor	NNS
20165	26	11	and	and	CC
20165	26	12	courtyards	courtyard	NNS
20165	26	13	by	by	IN
20165	26	14	De	De	NNP
20165	26	15	Hooghe	Hooghe	NNP
20165	26	16	,	,	,
20165	26	17	with	with	IN
20165	26	18	their	-PRON-	PRP$
20165	26	19	figures	figure	NNS
20165	26	20	far	far	RB
20165	26	21	off	off	RB
20165	26	22	and	and	CC
20165	26	23	near	near	RB
20165	26	24	,	,	,
20165	26	25	one	one	PRP
20165	26	26	feels	feel	VBZ
20165	26	27	that	that	IN
20165	26	28	their	-PRON-	PRP$
20165	26	29	charm	charm	NN
20165	26	30	consists	consist	VBZ
20165	26	31	greatly	greatly	RB
20165	26	32	in	in	IN
20165	26	33	their	-PRON-	PRP$
20165	26	34	perspective	perspective	NN
20165	26	35	,	,	,
20165	26	36	as	as	RB
20165	26	37	well	well	RB
20165	26	38	as	as	IN
20165	26	39	in	in	IN
20165	26	40	their	-PRON-	PRP$
20165	26	41	light	light	NN
20165	26	42	and	and	CC
20165	26	43	tone	tone	NN
20165	26	44	and	and	CC
20165	26	45	colour	colour	NN
20165	26	46	.	.	.
20165	27	1	Or	or	CC
20165	27	2	if	if	IN
20165	27	3	we	-PRON-	PRP
20165	27	4	study	study	VBP
20165	27	5	those	those	DT
20165	27	6	Venetian	venetian	JJ
20165	27	7	masterpieces	masterpiece	NNS
20165	27	8	by	by	IN
20165	27	9	Paul	Paul	NNP
20165	27	10	Veronese	Veronese	NNP
20165	27	11	,	,	,
20165	27	12	Titian	Titian	NNP
20165	27	13	,	,	,
20165	27	14	Tintoretto	Tintoretto	NNP
20165	27	15	,	,	,
20165	27	16	and	and	CC
20165	27	17	others	other	NNS
20165	27	18	,	,	,
20165	27	19	we	-PRON-	PRP
20165	27	20	become	become	VBP
20165	27	21	convinced	convinced	JJ
20165	27	22	that	that	IN
20165	27	23	it	-PRON-	PRP
20165	27	24	was	be	VBD
20165	27	25	through	through	IN
20165	27	26	their	-PRON-	PRP$
20165	27	27	knowledge	knowledge	NN
20165	27	28	of	of	IN
20165	27	29	perspective	perspective	NN
20165	27	30	that	that	WDT
20165	27	31	they	-PRON-	PRP
20165	27	32	gave	give	VBD
20165	27	33	such	such	JJ
20165	27	34	space	space	NN
20165	27	35	and	and	CC
20165	27	36	grandeur	grandeur	NN
20165	27	37	to	to	IN
20165	27	38	their	-PRON-	PRP$
20165	27	39	canvases	canvas	NNS
20165	27	40	.	.	.
20165	28	1	I	-PRON-	PRP
20165	28	2	need	need	VBP
20165	28	3	not	not	RB
20165	28	4	name	name	VB
20165	28	5	all	all	PDT
20165	28	6	the	the	DT
20165	28	7	great	great	JJ
20165	28	8	artists	artist	NNS
20165	28	9	who	who	WP
20165	28	10	have	have	VBP
20165	28	11	shown	show	VBN
20165	28	12	their	-PRON-	PRP$
20165	28	13	interest	interest	NN
20165	28	14	and	and	CC
20165	28	15	delight	delight	NN
20165	28	16	in	in	IN
20165	28	17	this	this	DT
20165	28	18	study	study	NN
20165	28	19	,	,	,
20165	28	20	both	both	CC
20165	28	21	by	by	IN
20165	28	22	writing	write	VBG
20165	28	23	about	about	IN
20165	28	24	it	-PRON-	PRP
20165	28	25	and	and	CC
20165	28	26	practising	practise	VBG
20165	28	27	it	-PRON-	PRP
20165	28	28	,	,	,
20165	28	29	such	such	JJ
20165	28	30	as	as	IN
20165	28	31	Albert	Albert	NNP
20165	28	32	Dürer	Dürer	NNP
20165	28	33	and	and	CC
20165	28	34	others	other	NNS
20165	28	35	,	,	,
20165	28	36	but	but	CC
20165	28	37	I	-PRON-	PRP
20165	28	38	can	can	MD
20165	28	39	not	not	RB
20165	28	40	leave	leave	VB
20165	28	41	out	out	RP
20165	28	42	our	-PRON-	PRP$
20165	28	43	own	own	JJ
20165	28	44	Turner	Turner	NNP
20165	28	45	,	,	,
20165	28	46	who	who	WP
20165	28	47	was	be	VBD
20165	28	48	one	one	CD
20165	28	49	of	of	IN
20165	28	50	the	the	DT
20165	28	51	greatest	great	JJS
20165	28	52	masters	master	NNS
20165	28	53	in	in	IN
20165	28	54	this	this	DT
20165	28	55	respect	respect	NN
20165	28	56	that	that	WDT
20165	28	57	ever	ever	RB
20165	28	58	lived	live	VBD
20165	28	59	;	;	:
20165	28	60	though	though	IN
20165	28	61	in	in	IN
20165	28	62	his	-PRON-	PRP$
20165	28	63	case	case	NN
20165	28	64	we	-PRON-	PRP
20165	28	65	can	can	MD
20165	28	66	only	only	RB
20165	28	67	judge	judge	VB
20165	28	68	of	of	IN
20165	28	69	the	the	DT
20165	28	70	results	result	NNS
20165	28	71	of	of	IN
20165	28	72	his	-PRON-	PRP$
20165	28	73	knowledge	knowledge	NN
20165	28	74	as	as	IN
20165	28	75	shown	show	VBN
20165	28	76	in	in	IN
20165	28	77	his	-PRON-	PRP$
20165	28	78	pictures	picture	NNS
20165	28	79	,	,	,
20165	28	80	for	for	IN
20165	28	81	although	although	IN
20165	28	82	he	-PRON-	PRP
20165	28	83	was	be	VBD
20165	28	84	Professor	Professor	NNP
20165	28	85	of	of	IN
20165	28	86	Perspective	Perspective	NNP
20165	28	87	at	at	IN
20165	28	88	the	the	DT
20165	28	89	Royal	Royal	NNP
20165	28	90	Academy	Academy	NNP
20165	28	91	in	in	IN
20165	28	92	1807	1807	CD
20165	28	93	-	-	HYPH
20165	28	94	-over	-over	NN
20165	28	95	a	a	DT
20165	28	96	hundred	hundred	CD
20165	28	97	years	year	NNS
20165	28	98	ago	ago	RB
20165	28	99	--	--	:
20165	28	100	and	and	CC
20165	28	101	took	take	VBD
20165	28	102	great	great	JJ
20165	28	103	pains	pain	NNS
20165	28	104	with	with	IN
20165	28	105	the	the	DT
20165	28	106	diagrams	diagram	NNS
20165	28	107	he	-PRON-	PRP
20165	28	108	prepared	prepare	VBD
20165	28	109	to	to	TO
20165	28	110	illustrate	illustrate	VB
20165	28	111	his	-PRON-	PRP$
20165	28	112	lectures	lecture	NNS
20165	28	113	,	,	,
20165	28	114	they	-PRON-	PRP
20165	28	115	seemed	seem	VBD
20165	28	116	to	to	IN
20165	28	117	the	the	DT
20165	28	118	students	student	NNS
20165	28	119	to	to	TO
20165	28	120	be	be	VB
20165	28	121	full	full	JJ
20165	28	122	of	of	IN
20165	28	123	confusion	confusion	NN
20165	28	124	and	and	CC
20165	28	125	obscurity	obscurity	NN
20165	28	126	;	;	:
20165	28	127	nor	nor	CC
20165	28	128	am	be	VBP
20165	28	129	I	-PRON-	PRP
20165	28	130	aware	aware	JJ
20165	28	131	that	that	IN
20165	28	132	any	any	DT
20165	28	133	record	record	NN
20165	28	134	of	of	IN
20165	28	135	them	-PRON-	PRP
20165	28	136	remains	remain	VBZ
20165	28	137	,	,	,
20165	28	138	although	although	IN
20165	28	139	they	-PRON-	PRP
20165	28	140	must	must	MD
20165	28	141	have	have	VB
20165	28	142	contained	contain	VBN
20165	28	143	some	some	DT
20165	28	144	valuable	valuable	JJ
20165	28	145	teaching	teaching	NN
20165	28	146	,	,	,
20165	28	147	had	have	VBD
20165	28	148	their	-PRON-	PRP$
20165	28	149	author	author	NN
20165	28	150	possessed	possess	VBD
20165	28	151	the	the	DT
20165	28	152	art	art	NN
20165	28	153	of	of	IN
20165	28	154	conveying	convey	VBG
20165	28	155	it	-PRON-	PRP
20165	28	156	.	.	.
20165	29	1	However	however	RB
20165	29	2	,	,	,
20165	29	3	we	-PRON-	PRP
20165	29	4	are	be	VBP
20165	29	5	here	here	RB
20165	29	6	chiefly	chiefly	RB
20165	29	7	concerned	concerned	JJ
20165	29	8	with	with	IN
20165	29	9	the	the	DT
20165	29	10	necessity	necessity	NN
20165	29	11	of	of	IN
20165	29	12	this	this	DT
20165	29	13	study	study	NN
20165	29	14	,	,	,
20165	29	15	and	and	CC
20165	29	16	of	of	IN
20165	29	17	the	the	DT
20165	29	18	necessity	necessity	NN
20165	29	19	of	of	IN
20165	29	20	starting	start	VBG
20165	29	21	our	-PRON-	PRP$
20165	29	22	work	work	NN
20165	29	23	with	with	IN
20165	29	24	it	-PRON-	PRP
20165	29	25	.	.	.
20165	30	1	Before	before	IN
20165	30	2	undertaking	undertake	VBG
20165	30	3	a	a	DT
20165	30	4	large	large	JJ
20165	30	5	composition	composition	NN
20165	30	6	of	of	IN
20165	30	7	figures	figure	NNS
20165	30	8	,	,	,
20165	30	9	such	such	JJ
20165	30	10	as	as	IN
20165	30	11	the	the	DT
20165	30	12	'	'	``
20165	30	13	Wedding	wedding	NN
20165	30	14	-	-	HYPH
20165	30	15	feast	feast	NN
20165	30	16	at	at	IN
20165	30	17	Cana	Cana	NNP
20165	30	18	'	'	''
20165	30	19	,	,	,
20165	30	20	by	by	IN
20165	30	21	Paul	Paul	NNP
20165	30	22	Veronese	Veronese	NNP
20165	30	23	,	,	,
20165	30	24	or	or	CC
20165	30	25	'	'	''
20165	30	26	The	the	DT
20165	30	27	School	School	NNP
20165	30	28	of	of	IN
20165	30	29	Athens	Athens	NNP
20165	30	30	'	'	''
20165	30	31	,	,	,
20165	30	32	by	by	IN
20165	30	33	Raphael	Raphael	NNP
20165	30	34	,	,	,
20165	30	35	the	the	DT
20165	30	36	artist	artist	NN
20165	30	37	should	should	MD
20165	30	38	set	set	VB
20165	30	39	out	out	RP
20165	30	40	his	-PRON-	PRP$
20165	30	41	floors	floor	NNS
20165	30	42	,	,	,
20165	30	43	his	-PRON-	PRP$
20165	30	44	walls	wall	NNS
20165	30	45	,	,	,
20165	30	46	his	-PRON-	PRP$
20165	30	47	colonnades	colonnade	NNS
20165	30	48	,	,	,
20165	30	49	his	-PRON-	PRP$
20165	30	50	balconies	balcony	NNS
20165	30	51	,	,	,
20165	30	52	his	-PRON-	PRP$
20165	30	53	steps	step	NNS
20165	30	54	,	,	,
20165	30	55	&	&	CC
20165	30	56	c.	c.	NNP
20165	30	57	,	,	,
20165	30	58	so	so	IN
20165	30	59	that	that	IN
20165	30	60	he	-PRON-	PRP
20165	30	61	may	may	MD
20165	30	62	know	know	VB
20165	30	63	where	where	WRB
20165	30	64	to	to	TO
20165	30	65	place	place	VB
20165	30	66	his	-PRON-	PRP$
20165	30	67	personages	personage	NNS
20165	30	68	,	,	,
20165	30	69	and	and	CC
20165	30	70	to	to	TO
20165	30	71	measure	measure	VB
20165	30	72	their	-PRON-	PRP$
20165	30	73	different	different	JJ
20165	30	74	sizes	size	NNS
20165	30	75	according	accord	VBG
20165	30	76	to	to	IN
20165	30	77	their	-PRON-	PRP$
20165	30	78	distances	distance	NNS
20165	30	79	;	;	:
20165	30	80	indeed	indeed	RB
20165	30	81	,	,	,
20165	30	82	he	-PRON-	PRP
20165	30	83	must	must	MD
20165	30	84	make	make	VB
20165	30	85	his	-PRON-	PRP$
20165	30	86	stage	stage	NN
20165	30	87	and	and	CC
20165	30	88	his	-PRON-	PRP$
20165	30	89	scenery	scenery	NN
20165	30	90	before	before	IN
20165	30	91	he	-PRON-	PRP
20165	30	92	introduces	introduce	VBZ
20165	30	93	his	-PRON-	PRP$
20165	30	94	actors	actor	NNS
20165	30	95	.	.	.
20165	31	1	He	-PRON-	PRP
20165	31	2	can	can	MD
20165	31	3	then	then	RB
20165	31	4	proceed	proceed	VB
20165	31	5	with	with	IN
20165	31	6	his	-PRON-	PRP$
20165	31	7	composition	composition	NN
20165	31	8	,	,	,
20165	31	9	arrange	arrange	VB
20165	31	10	his	-PRON-	PRP$
20165	31	11	groups	group	NNS
20165	31	12	and	and	CC
20165	31	13	the	the	DT
20165	31	14	accessories	accessory	NNS
20165	31	15	with	with	IN
20165	31	16	ease	ease	NN
20165	31	17	,	,	,
20165	31	18	and	and	CC
20165	31	19	above	above	IN
20165	31	20	all	all	DT
20165	31	21	with	with	IN
20165	31	22	correctness	correctness	NN
20165	31	23	.	.	.
20165	32	1	But	but	CC
20165	32	2	I	-PRON-	PRP
20165	32	3	have	have	VBP
20165	32	4	noticed	notice	VBN
20165	32	5	that	that	IN
20165	32	6	some	some	DT
20165	32	7	of	of	IN
20165	32	8	our	-PRON-	PRP$
20165	32	9	cleverest	clever	JJS
20165	32	10	painters	painter	NNS
20165	32	11	will	will	MD
20165	32	12	arrange	arrange	VB
20165	32	13	their	-PRON-	PRP$
20165	32	14	figures	figure	NNS
20165	32	15	to	to	TO
20165	32	16	please	please	VB
20165	32	17	the	the	DT
20165	32	18	eye	eye	NN
20165	32	19	,	,	,
20165	32	20	and	and	CC
20165	32	21	when	when	WRB
20165	32	22	fairly	fairly	RB
20165	32	23	advanced	advanced	JJ
20165	32	24	with	with	IN
20165	32	25	their	-PRON-	PRP$
20165	32	26	work	work	NN
20165	32	27	will	will	MD
20165	32	28	call	call	VB
20165	32	29	in	in	IN
20165	32	30	an	an	DT
20165	32	31	expert	expert	NN
20165	32	32	,	,	,
20165	32	33	to	to	IN
20165	32	34	(	(	-LRB-
20165	32	35	as	as	IN
20165	32	36	they	-PRON-	PRP
20165	32	37	call	call	VBP
20165	32	38	it	-PRON-	PRP
20165	32	39	)	)	-RRB-
20165	32	40	put	put	VBD
20165	32	41	in	in	IN
20165	32	42	their	-PRON-	PRP$
20165	32	43	perspective	perspective	NN
20165	32	44	for	for	IN
20165	32	45	them	-PRON-	PRP
20165	32	46	,	,	,
20165	32	47	but	but	CC
20165	32	48	as	as	IN
20165	32	49	it	-PRON-	PRP
20165	32	50	does	do	VBZ
20165	32	51	not	not	RB
20165	32	52	form	form	VB
20165	32	53	part	part	NN
20165	32	54	of	of	IN
20165	32	55	their	-PRON-	PRP$
20165	32	56	original	original	JJ
20165	32	57	composition	composition	NN
20165	32	58	,	,	,
20165	32	59	it	-PRON-	PRP
20165	32	60	involves	involve	VBZ
20165	32	61	all	all	DT
20165	32	62	sorts	sort	NNS
20165	32	63	of	of	IN
20165	32	64	difficulties	difficulty	NNS
20165	32	65	and	and	CC
20165	32	66	vexatious	vexatious	JJ
20165	32	67	alterings	altering	NNS
20165	32	68	and	and	CC
20165	32	69	rubbings	rubbing	NNS
20165	32	70	out	out	RP
20165	32	71	,	,	,
20165	32	72	and	and	CC
20165	32	73	even	even	RB
20165	32	74	then	then	RB
20165	32	75	is	be	VBZ
20165	32	76	not	not	RB
20165	32	77	always	always	RB
20165	32	78	satisfactory	satisfactory	JJ
20165	32	79	.	.	.
20165	33	1	For	for	IN
20165	33	2	the	the	DT
20165	33	3	expert	expert	NN
20165	33	4	may	may	MD
20165	33	5	not	not	RB
20165	33	6	be	be	VB
20165	33	7	an	an	DT
20165	33	8	artist	artist	NN
20165	33	9	,	,	,
20165	33	10	nor	nor	CC
20165	33	11	in	in	IN
20165	33	12	sympathy	sympathy	NN
20165	33	13	with	with	IN
20165	33	14	the	the	DT
20165	33	15	picture	picture	NN
20165	33	16	,	,	,
20165	33	17	hence	hence	RB
20165	33	18	there	there	EX
20165	33	19	will	will	MD
20165	33	20	be	be	VB
20165	33	21	a	a	DT
20165	33	22	want	want	NN
20165	33	23	of	of	IN
20165	33	24	unity	unity	NN
20165	33	25	in	in	IN
20165	33	26	it	-PRON-	PRP
20165	33	27	;	;	:
20165	33	28	whereas	whereas	IN
20165	33	29	the	the	DT
20165	33	30	whole	whole	JJ
20165	33	31	thing	thing	NN
20165	33	32	,	,	,
20165	33	33	to	to	TO
20165	33	34	be	be	VB
20165	33	35	in	in	IN
20165	33	36	harmony	harmony	NN
20165	33	37	,	,	,
20165	33	38	should	should	MD
20165	33	39	be	be	VB
20165	33	40	the	the	DT
20165	33	41	conception	conception	NN
20165	33	42	of	of	IN
20165	33	43	one	one	CD
20165	33	44	mind	mind	NN
20165	33	45	,	,	,
20165	33	46	and	and	CC
20165	33	47	the	the	DT
20165	33	48	perspective	perspective	NN
20165	33	49	as	as	RB
20165	33	50	much	much	JJ
20165	33	51	a	a	DT
20165	33	52	part	part	NN
20165	33	53	of	of	IN
20165	33	54	the	the	DT
20165	33	55	composition	composition	NN
20165	33	56	as	as	IN
20165	33	57	the	the	DT
20165	33	58	figures	figure	NNS
20165	33	59	.	.	.
20165	34	1	If	if	IN
20165	34	2	a	a	DT
20165	34	3	ceiling	ceiling	NN
20165	34	4	has	have	VBZ
20165	34	5	to	to	TO
20165	34	6	be	be	VB
20165	34	7	painted	paint	VBN
20165	34	8	with	with	IN
20165	34	9	figures	figure	NNS
20165	34	10	floating	float	VBG
20165	34	11	or	or	CC
20165	34	12	flying	fly	VBG
20165	34	13	in	in	IN
20165	34	14	the	the	DT
20165	34	15	air	air	NN
20165	34	16	,	,	,
20165	34	17	or	or	CC
20165	34	18	sitting	sit	VBG
20165	34	19	high	high	RB
20165	34	20	above	above	IN
20165	34	21	us	-PRON-	PRP
20165	34	22	,	,	,
20165	34	23	then	then	RB
20165	34	24	our	-PRON-	PRP$
20165	34	25	perspective	perspective	NN
20165	34	26	must	must	MD
20165	34	27	take	take	VB
20165	34	28	a	a	DT
20165	34	29	different	different	JJ
20165	34	30	form	form	NN
20165	34	31	,	,	,
20165	34	32	and	and	CC
20165	34	33	the	the	DT
20165	34	34	point	point	NN
20165	34	35	of	of	IN
20165	34	36	sight	sight	NN
20165	34	37	will	will	MD
20165	34	38	be	be	VB
20165	34	39	above	above	IN
20165	34	40	our	-PRON-	PRP$
20165	34	41	heads	head	NNS
20165	34	42	instead	instead	RB
20165	34	43	of	of	IN
20165	34	44	on	on	IN
20165	34	45	the	the	DT
20165	34	46	horizon	horizon	NN
20165	34	47	;	;	:
20165	34	48	nor	nor	CC
20165	34	49	can	can	MD
20165	34	50	these	these	DT
20165	34	51	difficulties	difficulty	NNS
20165	34	52	be	be	VB
20165	34	53	overcome	overcome	VBN
20165	34	54	without	without	IN
20165	34	55	an	an	DT
20165	34	56	adequate	adequate	JJ
20165	34	57	knowledge	knowledge	NN
20165	34	58	of	of	IN
20165	34	59	the	the	DT
20165	34	60	science	science	NN
20165	34	61	,	,	,
20165	34	62	which	which	WDT
20165	34	63	will	will	MD
20165	34	64	enable	enable	VB
20165	34	65	us	-PRON-	PRP
20165	34	66	to	to	TO
20165	34	67	work	work	VB
20165	34	68	out	out	RP
20165	34	69	for	for	IN
20165	34	70	ourselves	-PRON-	PRP
20165	34	71	any	any	DT
20165	34	72	new	new	JJ
20165	34	73	problems	problem	NNS
20165	34	74	of	of	IN
20165	34	75	this	this	DT
20165	34	76	kind	kind	NN
20165	34	77	that	that	WDT
20165	34	78	we	-PRON-	PRP
20165	34	79	may	may	MD
20165	34	80	have	have	VB
20165	34	81	to	to	TO
20165	34	82	solve	solve	VB
20165	34	83	.	.	.
20165	35	1	Then	then	RB
20165	35	2	again	again	RB
20165	35	3	,	,	,
20165	35	4	with	with	IN
20165	35	5	a	a	DT
20165	35	6	view	view	NN
20165	35	7	to	to	IN
20165	35	8	giving	give	VBG
20165	35	9	different	different	JJ
20165	35	10	effects	effect	NNS
20165	35	11	or	or	CC
20165	35	12	impressions	impression	NNS
20165	35	13	in	in	IN
20165	35	14	this	this	DT
20165	35	15	decorative	decorative	JJ
20165	35	16	work	work	NN
20165	35	17	,	,	,
20165	35	18	we	-PRON-	PRP
20165	35	19	must	must	MD
20165	35	20	know	know	VB
20165	35	21	where	where	WRB
20165	35	22	to	to	TO
20165	35	23	place	place	VB
20165	35	24	the	the	DT
20165	35	25	horizon	horizon	NN
20165	35	26	and	and	CC
20165	35	27	the	the	DT
20165	35	28	points	point	NNS
20165	35	29	of	of	IN
20165	35	30	sight	sight	NN
20165	35	31	,	,	,
20165	35	32	for	for	IN
20165	35	33	several	several	JJ
20165	35	34	of	of	IN
20165	35	35	the	the	DT
20165	35	36	latter	latter	JJ
20165	35	37	are	be	VBP
20165	35	38	sometimes	sometimes	RB
20165	35	39	required	require	VBN
20165	35	40	when	when	WRB
20165	35	41	dealing	deal	VBG
20165	35	42	with	with	IN
20165	35	43	large	large	JJ
20165	35	44	surfaces	surface	NNS
20165	35	45	such	such	JJ
20165	35	46	as	as	IN
20165	35	47	the	the	DT
20165	35	48	painting	painting	NN
20165	35	49	of	of	IN
20165	35	50	walls	wall	NNS
20165	35	51	,	,	,
20165	35	52	or	or	CC
20165	35	53	stage	stage	NN
20165	35	54	scenery	scenery	NN
20165	35	55	,	,	,
20165	35	56	or	or	CC
20165	35	57	panoramas	panorama	NNS
20165	35	58	depicted	depict	VBN
20165	35	59	on	on	IN
20165	35	60	a	a	DT
20165	35	61	cylindrical	cylindrical	JJ
20165	35	62	canvas	canvas	NN
20165	35	63	and	and	CC
20165	35	64	viewed	view	VBD
20165	35	65	from	from	IN
20165	35	66	the	the	DT
20165	35	67	centre	centre	NN
20165	35	68	thereof	thereof	RB
20165	35	69	,	,	,
20165	35	70	where	where	WRB
20165	35	71	a	a	DT
20165	35	72	fresh	fresh	JJ
20165	35	73	point	point	NN
20165	35	74	of	of	IN
20165	35	75	sight	sight	NN
20165	35	76	is	be	VBZ
20165	35	77	required	require	VBN
20165	35	78	at	at	IN
20165	35	79	every	every	DT
20165	35	80	twelve	twelve	CD
20165	35	81	or	or	CC
20165	35	82	sixteen	sixteen	CD
20165	35	83	feet	foot	NNS
20165	35	84	.	.	.
20165	36	1	Without	without	IN
20165	36	2	a	a	DT
20165	36	3	true	true	JJ
20165	36	4	knowledge	knowledge	NN
20165	36	5	of	of	IN
20165	36	6	perspective	perspective	NN
20165	36	7	,	,	,
20165	36	8	none	none	NN
20165	36	9	of	of	IN
20165	36	10	these	these	DT
20165	36	11	things	thing	NNS
20165	36	12	can	can	MD
20165	36	13	be	be	VB
20165	36	14	done	do	VBN
20165	36	15	.	.	.
20165	37	1	The	the	DT
20165	37	2	artist	artist	NN
20165	37	3	should	should	MD
20165	37	4	study	study	VB
20165	37	5	them	-PRON-	PRP
20165	37	6	in	in	IN
20165	37	7	the	the	DT
20165	37	8	great	great	JJ
20165	37	9	compositions	composition	NNS
20165	37	10	of	of	IN
20165	37	11	the	the	DT
20165	37	12	masters	master	NNS
20165	37	13	,	,	,
20165	37	14	by	by	IN
20165	37	15	analysing	analyse	VBG
20165	37	16	their	-PRON-	PRP$
20165	37	17	pictures	picture	NNS
20165	37	18	and	and	CC
20165	37	19	seeing	see	VBG
20165	37	20	how	how	WRB
20165	37	21	and	and	CC
20165	37	22	for	for	IN
20165	37	23	what	what	WP
20165	37	24	reasons	reason	NNS
20165	37	25	they	-PRON-	PRP
20165	37	26	applied	apply	VBD
20165	37	27	their	-PRON-	PRP$
20165	37	28	knowledge	knowledge	NN
20165	37	29	.	.	.
20165	38	1	Rubens	ruben	NNS
20165	38	2	put	put	VBD
20165	38	3	low	low	JJ
20165	38	4	horizons	horizon	NNS
20165	38	5	to	to	IN
20165	38	6	most	most	JJS
20165	38	7	of	of	IN
20165	38	8	his	-PRON-	PRP$
20165	38	9	large	large	JJ
20165	38	10	figure	figure	NN
20165	38	11	-	-	HYPH
20165	38	12	subjects	subject	NNS
20165	38	13	,	,	,
20165	38	14	as	as	IN
20165	38	15	in	in	IN
20165	38	16	'	'	``
20165	38	17	The	the	DT
20165	38	18	Descent	Descent	NNP
20165	38	19	from	from	IN
20165	38	20	the	the	DT
20165	38	21	Cross	Cross	NNP
20165	38	22	'	'	''
20165	38	23	,	,	,
20165	38	24	which	which	WDT
20165	38	25	not	not	RB
20165	38	26	only	only	RB
20165	38	27	gave	give	VBD
20165	38	28	grandeur	grandeur	NN
20165	38	29	to	to	IN
20165	38	30	his	-PRON-	PRP$
20165	38	31	designs	design	NNS
20165	38	32	,	,	,
20165	38	33	but	but	CC
20165	38	34	,	,	,
20165	38	35	seeing	see	VBG
20165	38	36	they	-PRON-	PRP
20165	38	37	were	be	VBD
20165	38	38	to	to	TO
20165	38	39	be	be	VB
20165	38	40	placed	place	VBN
20165	38	41	above	above	IN
20165	38	42	the	the	DT
20165	38	43	eye	eye	NN
20165	38	44	,	,	,
20165	38	45	gave	give	VBD
20165	38	46	a	a	DT
20165	38	47	more	more	RBR
20165	38	48	natural	natural	JJ
20165	38	49	appearance	appearance	NN
20165	38	50	to	to	IN
20165	38	51	his	-PRON-	PRP$
20165	38	52	figures	figure	NNS
20165	38	53	.	.	.
20165	39	1	The	the	DT
20165	39	2	Venetians	Venetians	NNPS
20165	39	3	often	often	RB
20165	39	4	put	put	VBP
20165	39	5	the	the	DT
20165	39	6	horizon	horizon	NN
20165	39	7	almost	almost	RB
20165	39	8	on	on	IN
20165	39	9	a	a	DT
20165	39	10	level	level	NN
20165	39	11	with	with	IN
20165	39	12	the	the	DT
20165	39	13	base	base	NN
20165	39	14	of	of	IN
20165	39	15	the	the	DT
20165	39	16	picture	picture	NN
20165	39	17	or	or	CC
20165	39	18	edge	edge	NN
20165	39	19	of	of	IN
20165	39	20	the	the	DT
20165	39	21	frame	frame	NN
20165	39	22	,	,	,
20165	39	23	and	and	CC
20165	39	24	sometimes	sometimes	RB
20165	39	25	even	even	RB
20165	39	26	below	below	IN
20165	39	27	it	-PRON-	PRP
20165	39	28	;	;	:
20165	39	29	as	as	IN
20165	39	30	in	in	IN
20165	39	31	'	'	''
20165	39	32	The	the	DT
20165	39	33	Family	Family	NNP
20165	39	34	of	of	IN
20165	39	35	Darius	Darius	NNP
20165	39	36	at	at	IN
20165	39	37	the	the	DT
20165	39	38	Feet	Feet	NNPS
20165	39	39	of	of	IN
20165	39	40	Alexander	Alexander	NNP
20165	39	41	'	'	POS
20165	39	42	,	,	,
20165	39	43	by	by	IN
20165	39	44	Paul	Paul	NNP
20165	39	45	Veronese	Veronese	NNP
20165	39	46	,	,	,
20165	39	47	and	and	CC
20165	39	48	'	'	''
20165	39	49	The	the	DT
20165	39	50	Origin	Origin	NNP
20165	39	51	of	of	IN
20165	39	52	the	the	DT
20165	39	53	"	"	``
20165	39	54	Via	Via	NNP
20165	39	55	Lactea	Lactea	NNP
20165	39	56	"	"	''
20165	39	57	'	'	''
20165	39	58	,	,	,
20165	39	59	by	by	IN
20165	39	60	Tintoretto	Tintoretto	NNP
20165	39	61	,	,	,
20165	39	62	both	both	CC
20165	39	63	in	in	IN
20165	39	64	our	-PRON-	PRP$
20165	39	65	National	National	NNP
20165	39	66	Gallery	Gallery	NNP
20165	39	67	.	.	.
20165	40	1	But	but	CC
20165	40	2	in	in	IN
20165	40	3	order	order	NN
20165	40	4	to	to	TO
20165	40	5	do	do	VB
20165	40	6	all	all	PDT
20165	40	7	these	these	DT
20165	40	8	things	thing	NNS
20165	40	9	,	,	,
20165	40	10	the	the	DT
20165	40	11	artist	artist	NN
20165	40	12	in	in	IN
20165	40	13	designing	design	VBG
20165	40	14	his	-PRON-	PRP$
20165	40	15	work	work	NN
20165	40	16	must	must	MD
20165	40	17	have	have	VB
20165	40	18	the	the	DT
20165	40	19	knowledge	knowledge	NN
20165	40	20	of	of	IN
20165	40	21	perspective	perspective	NN
20165	40	22	at	at	IN
20165	40	23	his	-PRON-	PRP$
20165	40	24	fingers	finger	NNS
20165	40	25	'	'	POS
20165	40	26	ends	end	NNS
20165	40	27	,	,	,
20165	40	28	and	and	CC
20165	40	29	only	only	RB
20165	40	30	the	the	DT
20165	40	31	details	detail	NNS
20165	40	32	,	,	,
20165	40	33	which	which	WDT
20165	40	34	are	be	VBP
20165	40	35	often	often	RB
20165	40	36	tedious	tedious	JJ
20165	40	37	,	,	,
20165	40	38	should	should	MD
20165	40	39	he	-PRON-	PRP
20165	40	40	leave	leave	VB
20165	40	41	to	to	IN
20165	40	42	an	an	DT
20165	40	43	assistant	assistant	NN
20165	40	44	to	to	TO
20165	40	45	work	work	VB
20165	40	46	out	out	RP
20165	40	47	for	for	IN
20165	40	48	him	-PRON-	PRP
20165	40	49	.	.	.
20165	41	1	We	-PRON-	PRP
20165	41	2	must	must	MD
20165	41	3	remember	remember	VB
20165	41	4	that	that	IN
20165	41	5	the	the	DT
20165	41	6	line	line	NN
20165	41	7	of	of	IN
20165	41	8	the	the	DT
20165	41	9	horizon	horizon	NN
20165	41	10	should	should	MD
20165	41	11	be	be	VB
20165	41	12	as	as	RB
20165	41	13	nearly	nearly	RB
20165	41	14	as	as	IN
20165	41	15	possible	possible	JJ
20165	41	16	on	on	IN
20165	41	17	a	a	DT
20165	41	18	level	level	NN
20165	41	19	with	with	IN
20165	41	20	the	the	DT
20165	41	21	eye	eye	NN
20165	41	22	,	,	,
20165	41	23	as	as	IN
20165	41	24	it	-PRON-	PRP
20165	41	25	is	be	VBZ
20165	41	26	in	in	IN
20165	41	27	nature	nature	NN
20165	41	28	;	;	:
20165	41	29	and	and	CC
20165	41	30	yet	yet	RB
20165	41	31	one	one	CD
20165	41	32	of	of	IN
20165	41	33	the	the	DT
20165	41	34	commonest	common	JJS
20165	41	35	mistakes	mistake	NNS
20165	41	36	in	in	IN
20165	41	37	our	-PRON-	PRP$
20165	41	38	exhibitions	exhibition	NNS
20165	41	39	is	be	VBZ
20165	41	40	the	the	DT
20165	41	41	bad	bad	JJ
20165	41	42	placing	placing	NN
20165	41	43	of	of	IN
20165	41	44	this	this	DT
20165	41	45	line	line	NN
20165	41	46	.	.	.
20165	42	1	We	-PRON-	PRP
20165	42	2	see	see	VBP
20165	42	3	dozens	dozen	NNS
20165	42	4	of	of	IN
20165	42	5	examples	example	NNS
20165	42	6	of	of	IN
20165	42	7	it	-PRON-	PRP
20165	42	8	,	,	,
20165	42	9	where	where	WRB
20165	42	10	in	in	IN
20165	42	11	full	full	JJ
20165	42	12	-	-	HYPH
20165	42	13	length	length	NN
20165	42	14	portraits	portrait	NNS
20165	42	15	and	and	CC
20165	42	16	other	other	JJ
20165	42	17	large	large	JJ
20165	42	18	pictures	picture	NNS
20165	42	19	intended	intend	VBN
20165	42	20	to	to	TO
20165	42	21	be	be	VB
20165	42	22	seen	see	VBN
20165	42	23	from	from	IN
20165	42	24	below	below	RB
20165	42	25	,	,	,
20165	42	26	the	the	DT
20165	42	27	horizon	horizon	NN
20165	42	28	is	be	VBZ
20165	42	29	placed	place	VBN
20165	42	30	high	high	RB
20165	42	31	up	up	RB
20165	42	32	in	in	IN
20165	42	33	the	the	DT
20165	42	34	canvas	canvas	NN
20165	42	35	instead	instead	RB
20165	42	36	of	of	IN
20165	42	37	low	low	JJ
20165	42	38	down	down	RB
20165	42	39	;	;	:
20165	42	40	the	the	DT
20165	42	41	consequence	consequence	NN
20165	42	42	is	be	VBZ
20165	42	43	that	that	IN
20165	42	44	compositions	composition	NNS
20165	42	45	so	so	RB
20165	42	46	treated	treat	VBD
20165	42	47	not	not	RB
20165	42	48	only	only	RB
20165	42	49	lose	lose	VBP
20165	42	50	in	in	IN
20165	42	51	grandeur	grandeur	NN
20165	42	52	and	and	CC
20165	42	53	truth	truth	NN
20165	42	54	,	,	,
20165	42	55	but	but	CC
20165	42	56	appear	appear	VBP
20165	42	57	to	to	TO
20165	42	58	be	be	VB
20165	42	59	toppling	topple	VBG
20165	42	60	over	over	RP
20165	42	61	,	,	,
20165	42	62	or	or	CC
20165	42	63	give	give	VB
20165	42	64	the	the	DT
20165	42	65	impression	impression	NN
20165	42	66	of	of	IN
20165	42	67	smallness	smallness	NN
20165	42	68	rather	rather	RB
20165	42	69	than	than	IN
20165	42	70	bigness	bigness	NN
20165	42	71	.	.	.
20165	43	1	Indeed	indeed	RB
20165	43	2	,	,	,
20165	43	3	they	-PRON-	PRP
20165	43	4	look	look	VBP
20165	43	5	like	like	IN
20165	43	6	small	small	JJ
20165	43	7	pictures	picture	NNS
20165	43	8	enlarged	enlarge	VBN
20165	43	9	,	,	,
20165	43	10	which	which	WDT
20165	43	11	is	be	VBZ
20165	43	12	a	a	DT
20165	43	13	very	very	RB
20165	43	14	different	different	JJ
20165	43	15	thing	thing	NN
20165	43	16	from	from	IN
20165	43	17	a	a	DT
20165	43	18	large	large	JJ
20165	43	19	design	design	NN
20165	43	20	.	.	.
20165	44	1	So	so	RB
20165	44	2	that	that	IN
20165	44	3	,	,	,
20165	44	4	in	in	IN
20165	44	5	order	order	NN
20165	44	6	to	to	TO
20165	44	7	see	see	VB
20165	44	8	them	-PRON-	PRP
20165	44	9	properly	properly	RB
20165	44	10	,	,	,
20165	44	11	we	-PRON-	PRP
20165	44	12	should	should	MD
20165	44	13	mount	mount	VB
20165	44	14	a	a	DT
20165	44	15	ladder	ladder	NN
20165	44	16	to	to	TO
20165	44	17	get	get	VB
20165	44	18	upon	upon	IN
20165	44	19	a	a	DT
20165	44	20	level	level	NN
20165	44	21	with	with	IN
20165	44	22	their	-PRON-	PRP$
20165	44	23	horizon	horizon	NN
20165	44	24	line	line	NN
20165	44	25	(	(	-LRB-
20165	44	26	see	see	VB
20165	44	27	Fig	Fig	NNP
20165	44	28	.	.	.
20165	45	1	66	66	CD
20165	45	2	,	,	,
20165	45	3	double	double	JJ
20165	45	4	-	-	HYPH
20165	45	5	page	page	NN
20165	45	6	illustration	illustration	NN
20165	45	7	)	)	-RRB-
20165	45	8	.	.	.
20165	46	1	We	-PRON-	PRP
20165	46	2	have	have	VBP
20165	46	3	here	here	RB
20165	46	4	spoken	speak	VBN
20165	46	5	in	in	IN
20165	46	6	a	a	DT
20165	46	7	general	general	JJ
20165	46	8	way	way	NN
20165	46	9	of	of	IN
20165	46	10	the	the	DT
20165	46	11	importance	importance	NN
20165	46	12	of	of	IN
20165	46	13	this	this	DT
20165	46	14	study	study	NN
20165	46	15	to	to	IN
20165	46	16	painters	painter	NNS
20165	46	17	,	,	,
20165	46	18	but	but	CC
20165	46	19	we	-PRON-	PRP
20165	46	20	shall	shall	MD
20165	46	21	see	see	VB
20165	46	22	that	that	IN
20165	46	23	it	-PRON-	PRP
20165	46	24	is	be	VBZ
20165	46	25	of	of	IN
20165	46	26	almost	almost	RB
20165	46	27	equal	equal	JJ
20165	46	28	importance	importance	NN
20165	46	29	to	to	IN
20165	46	30	the	the	DT
20165	46	31	sculptor	sculptor	NN
20165	46	32	and	and	CC
20165	46	33	the	the	DT
20165	46	34	architect	architect	NN
20165	46	35	.	.	.
20165	47	1	A	a	DT
20165	47	2	sculptor	sculptor	NN
20165	47	3	student	student	NN
20165	47	4	at	at	IN
20165	47	5	the	the	DT
20165	47	6	Academy	Academy	NNP
20165	47	7	,	,	,
20165	47	8	who	who	WP
20165	47	9	was	be	VBD
20165	47	10	making	make	VBG
20165	47	11	his	-PRON-	PRP$
20165	47	12	drawings	drawing	NNS
20165	47	13	rather	rather	RB
20165	47	14	carelessly	carelessly	RB
20165	47	15	,	,	,
20165	47	16	asked	ask	VBD
20165	47	17	me	-PRON-	PRP
20165	47	18	of	of	IN
20165	47	19	what	what	WP
20165	47	20	use	use	NN
20165	47	21	perspective	perspective	NN
20165	47	22	was	be	VBD
20165	47	23	to	to	IN
20165	47	24	a	a	DT
20165	47	25	sculptor	sculptor	NN
20165	47	26	.	.	.
20165	48	1	'	'	``
20165	48	2	In	in	IN
20165	48	3	the	the	DT
20165	48	4	first	first	JJ
20165	48	5	place	place	NN
20165	48	6	,	,	,
20165	48	7	'	'	''
20165	48	8	I	-PRON-	PRP
20165	48	9	said	say	VBD
20165	48	10	,	,	,
20165	48	11	'	'	''
20165	48	12	to	to	TO
20165	48	13	reason	reason	VB
20165	48	14	out	out	RP
20165	48	15	apparently	apparently	RB
20165	48	16	difficult	difficult	JJ
20165	48	17	problems	problem	NNS
20165	48	18	,	,	,
20165	48	19	and	and	CC
20165	48	20	to	to	TO
20165	48	21	find	find	VB
20165	48	22	how	how	WRB
20165	48	23	easy	easy	JJ
20165	48	24	they	-PRON-	PRP
20165	48	25	become	become	VBP
20165	48	26	,	,	,
20165	48	27	will	will	MD
20165	48	28	improve	improve	VB
20165	48	29	your	-PRON-	PRP$
20165	48	30	mind	mind	NN
20165	48	31	;	;	,
20165	48	32	and	and	CC
20165	48	33	in	in	IN
20165	48	34	the	the	DT
20165	48	35	second	second	JJ
20165	48	36	,	,	,
20165	48	37	if	if	IN
20165	48	38	you	-PRON-	PRP
20165	48	39	have	have	VBP
20165	48	40	to	to	TO
20165	48	41	do	do	VB
20165	48	42	monumental	monumental	JJ
20165	48	43	work	work	NN
20165	48	44	,	,	,
20165	48	45	it	-PRON-	PRP
20165	48	46	will	will	MD
20165	48	47	teach	teach	VB
20165	48	48	you	-PRON-	PRP
20165	48	49	the	the	DT
20165	48	50	exact	exact	JJ
20165	48	51	size	size	NN
20165	48	52	to	to	TO
20165	48	53	make	make	VB
20165	48	54	your	-PRON-	PRP$
20165	48	55	figures	figure	NNS
20165	48	56	according	accord	VBG
20165	48	57	to	to	IN
20165	48	58	the	the	DT
20165	48	59	height	height	NN
20165	48	60	they	-PRON-	PRP
20165	48	61	are	be	VBP
20165	48	62	to	to	TO
20165	48	63	be	be	VB
20165	48	64	placed	place	VBN
20165	48	65	,	,	,
20165	48	66	and	and	CC
20165	48	67	also	also	RB
20165	48	68	the	the	DT
20165	48	69	boldness	boldness	NN
20165	48	70	with	with	IN
20165	48	71	which	which	WDT
20165	48	72	they	-PRON-	PRP
20165	48	73	should	should	MD
20165	48	74	be	be	VB
20165	48	75	treated	treat	VBN
20165	48	76	to	to	TO
20165	48	77	give	give	VB
20165	48	78	them	-PRON-	PRP
20165	48	79	their	-PRON-	PRP$
20165	48	80	full	full	JJ
20165	48	81	effect	effect	NN
20165	48	82	.	.	.
20165	48	83	'	'	''
20165	49	1	He	-PRON-	PRP
20165	49	2	at	at	IN
20165	49	3	once	once	RB
20165	49	4	acknowledged	acknowledge	VBD
20165	49	5	that	that	IN
20165	49	6	I	-PRON-	PRP
20165	49	7	was	be	VBD
20165	49	8	right	right	JJ
20165	49	9	,	,	,
20165	49	10	proved	prove	VBD
20165	49	11	himself	-PRON-	PRP
20165	49	12	an	an	DT
20165	49	13	efficient	efficient	JJ
20165	49	14	pupil	pupil	NN
20165	49	15	,	,	,
20165	49	16	and	and	CC
20165	49	17	took	take	VBD
20165	49	18	much	much	JJ
20165	49	19	interest	interest	NN
20165	49	20	in	in	IN
20165	49	21	his	-PRON-	PRP$
20165	49	22	work	work	NN
20165	49	23	.	.	.
20165	50	1	I	-PRON-	PRP
20165	50	2	can	can	MD
20165	50	3	not	not	RB
20165	50	4	help	help	VB
20165	50	5	thinking	think	VBG
20165	50	6	that	that	IN
20165	50	7	the	the	DT
20165	50	8	reason	reason	NN
20165	50	9	our	-PRON-	PRP$
20165	50	10	public	public	JJ
20165	50	11	monuments	monument	NNS
20165	50	12	so	so	RB
20165	50	13	often	often	RB
20165	50	14	fail	fail	VBP
20165	50	15	to	to	TO
20165	50	16	impress	impress	VB
20165	50	17	us	-PRON-	PRP
20165	50	18	with	with	IN
20165	50	19	any	any	DT
20165	50	20	sense	sense	NN
20165	50	21	of	of	IN
20165	50	22	grandeur	grandeur	NN
20165	50	23	is	be	VBZ
20165	50	24	in	in	IN
20165	50	25	a	a	DT
20165	50	26	great	great	JJ
20165	50	27	measure	measure	NN
20165	50	28	owing	owe	VBG
20165	50	29	to	to	IN
20165	50	30	the	the	DT
20165	50	31	neglect	neglect	NN
20165	50	32	of	of	IN
20165	50	33	the	the	DT
20165	50	34	scientific	scientific	JJ
20165	50	35	study	study	NN
20165	50	36	of	of	IN
20165	50	37	perspective	perspective	NN
20165	50	38	.	.	.
20165	51	1	As	as	IN
20165	51	2	an	an	DT
20165	51	3	illustration	illustration	NN
20165	51	4	of	of	IN
20165	51	5	what	what	WP
20165	51	6	I	-PRON-	PRP
20165	51	7	mean	mean	VBP
20165	51	8	,	,	,
20165	51	9	let	let	VB
20165	51	10	the	the	DT
20165	51	11	student	student	NN
20165	51	12	look	look	VB
20165	51	13	at	at	IN
20165	51	14	a	a	DT
20165	51	15	good	good	JJ
20165	51	16	engraving	engraving	NN
20165	51	17	or	or	CC
20165	51	18	photograph	photograph	NN
20165	51	19	of	of	IN
20165	51	20	the	the	DT
20165	51	21	Arch	Arch	NNP
20165	51	22	of	of	IN
20165	51	23	Constantine	Constantine	NNP
20165	51	24	at	at	IN
20165	51	25	Rome	Rome	NNP
20165	51	26	,	,	,
20165	51	27	or	or	CC
20165	51	28	the	the	DT
20165	51	29	Tombs	Tombs	NNPS
20165	51	30	of	of	IN
20165	51	31	the	the	DT
20165	51	32	Medici	Medici	NNP
20165	51	33	,	,	,
20165	51	34	by	by	IN
20165	51	35	Michelangelo	Michelangelo	NNP
20165	51	36	,	,	,
20165	51	37	in	in	IN
20165	51	38	the	the	DT
20165	51	39	sacristy	sacristy	NN
20165	51	40	of	of	IN
20165	51	41	San	San	NNP
20165	51	42	Lorenzo	Lorenzo	NNP
20165	51	43	at	at	IN
20165	51	44	Florence	Florence	NNP
20165	51	45	.	.	.
20165	52	1	And	and	CC
20165	52	2	then	then	RB
20165	52	3	,	,	,
20165	52	4	for	for	IN
20165	52	5	an	an	DT
20165	52	6	example	example	NN
20165	52	7	of	of	IN
20165	52	8	a	a	DT
20165	52	9	mistake	mistake	NN
20165	52	10	in	in	IN
20165	52	11	the	the	DT
20165	52	12	placing	placing	NN
20165	52	13	of	of	IN
20165	52	14	a	a	DT
20165	52	15	colossal	colossal	JJ
20165	52	16	figure	figure	NN
20165	52	17	,	,	,
20165	52	18	let	let	VB
20165	52	19	him	-PRON-	PRP
20165	52	20	turn	turn	VB
20165	52	21	to	to	IN
20165	52	22	the	the	DT
20165	52	23	Tomb	Tomb	NNP
20165	52	24	of	of	IN
20165	52	25	Julius	Julius	NNP
20165	52	26	II	II	NNP
20165	52	27	in	in	IN
20165	52	28	San	San	NNP
20165	52	29	Pietro	Pietro	NNP
20165	52	30	in	in	IN
20165	52	31	Vinculis	Vinculis	NNP
20165	52	32	,	,	,
20165	52	33	Rome	Rome	NNP
20165	52	34	,	,	,
20165	52	35	and	and	CC
20165	52	36	he	-PRON-	PRP
20165	52	37	will	will	MD
20165	52	38	see	see	VB
20165	52	39	that	that	IN
20165	52	40	the	the	DT
20165	52	41	figure	figure	NN
20165	52	42	of	of	IN
20165	52	43	Moses	Moses	NNP
20165	52	44	,	,	,
20165	52	45	so	so	RB
20165	52	46	grand	grand	JJ
20165	52	47	in	in	IN
20165	52	48	itself	-PRON-	PRP
20165	52	49	,	,	,
20165	52	50	not	not	RB
20165	52	51	only	only	RB
20165	52	52	loses	lose	VBZ
20165	52	53	much	much	JJ
20165	52	54	of	of	IN
20165	52	55	its	-PRON-	PRP$
20165	52	56	dignity	dignity	NN
20165	52	57	by	by	IN
20165	52	58	being	be	VBG
20165	52	59	placed	place	VBN
20165	52	60	on	on	IN
20165	52	61	the	the	DT
20165	52	62	ground	ground	NN
20165	52	63	instead	instead	RB
20165	52	64	of	of	IN
20165	52	65	in	in	IN
20165	52	66	the	the	DT
20165	52	67	niche	niche	NN
20165	52	68	above	above	IN
20165	52	69	it	-PRON-	PRP
20165	52	70	,	,	,
20165	52	71	but	but	CC
20165	52	72	throws	throw	VBZ
20165	52	73	all	all	PDT
20165	52	74	the	the	DT
20165	52	75	other	other	JJ
20165	52	76	figures	figure	NNS
20165	52	77	out	out	IN
20165	52	78	of	of	IN
20165	52	79	proportion	proportion	NN
20165	52	80	or	or	CC
20165	52	81	harmony	harmony	NN
20165	52	82	,	,	,
20165	52	83	and	and	CC
20165	52	84	was	be	VBD
20165	52	85	quite	quite	RB
20165	52	86	contrary	contrary	JJ
20165	52	87	to	to	IN
20165	52	88	Michelangelo	Michelangelo	NNP
20165	52	89	's	's	POS
20165	52	90	intention	intention	NN
20165	52	91	.	.	.
20165	53	1	Indeed	indeed	RB
20165	53	2	,	,	,
20165	53	3	this	this	DT
20165	53	4	tomb	tomb	NN
20165	53	5	,	,	,
20165	53	6	which	which	WDT
20165	53	7	was	be	VBD
20165	53	8	to	to	TO
20165	53	9	have	have	VB
20165	53	10	been	be	VBN
20165	53	11	the	the	DT
20165	53	12	finest	fine	JJS
20165	53	13	thing	thing	NN
20165	53	14	of	of	IN
20165	53	15	its	-PRON-	PRP$
20165	53	16	kind	kind	NN
20165	53	17	ever	ever	RB
20165	53	18	done	do	VBN
20165	53	19	,	,	,
20165	53	20	was	be	VBD
20165	53	21	really	really	RB
20165	53	22	the	the	DT
20165	53	23	tragedy	tragedy	NN
20165	53	24	of	of	IN
20165	53	25	the	the	DT
20165	53	26	great	great	JJ
20165	53	27	sculptor	sculptor	NN
20165	53	28	's	's	POS
20165	53	29	life	life	NN
20165	53	30	.	.	.
20165	54	1	The	the	DT
20165	54	2	same	same	JJ
20165	54	3	remarks	remark	NNS
20165	54	4	apply	apply	VBP
20165	54	5	in	in	IN
20165	54	6	a	a	DT
20165	54	7	great	great	JJ
20165	54	8	measure	measure	NN
20165	54	9	to	to	IN
20165	54	10	the	the	DT
20165	54	11	architect	architect	NN
20165	54	12	as	as	IN
20165	54	13	to	to	IN
20165	54	14	the	the	DT
20165	54	15	sculptor	sculptor	NN
20165	54	16	.	.	.
20165	55	1	The	the	DT
20165	55	2	old	old	JJ
20165	55	3	builders	builder	NNS
20165	55	4	knew	know	VBD
20165	55	5	the	the	DT
20165	55	6	value	value	NN
20165	55	7	of	of	IN
20165	55	8	a	a	DT
20165	55	9	knowledge	knowledge	NN
20165	55	10	of	of	IN
20165	55	11	perspective	perspective	NN
20165	55	12	,	,	,
20165	55	13	and	and	CC
20165	55	14	,	,	,
20165	55	15	as	as	IN
20165	55	16	in	in	IN
20165	55	17	the	the	DT
20165	55	18	case	case	NN
20165	55	19	of	of	IN
20165	55	20	Serlio	Serlio	NNP
20165	55	21	,	,	,
20165	55	22	Vignola	Vignola	NNP
20165	55	23	,	,	,
20165	55	24	and	and	CC
20165	55	25	others	other	NNS
20165	55	26	,	,	,
20165	55	27	prefaced	preface	VBD
20165	55	28	their	-PRON-	PRP$
20165	55	29	treatises	treatise	NNS
20165	55	30	on	on	IN
20165	55	31	architecture	architecture	NN
20165	55	32	with	with	IN
20165	55	33	chapters	chapter	NNS
20165	55	34	on	on	IN
20165	55	35	geometry	geometry	NN
20165	55	36	and	and	CC
20165	55	37	perspective	perspective	NN
20165	55	38	.	.	.
20165	56	1	For	for	IN
20165	56	2	it	-PRON-	PRP
20165	56	3	showed	show	VBD
20165	56	4	them	-PRON-	PRP
20165	56	5	how	how	WRB
20165	56	6	to	to	TO
20165	56	7	give	give	VB
20165	56	8	proper	proper	JJ
20165	56	9	proportions	proportion	NNS
20165	56	10	to	to	IN
20165	56	11	their	-PRON-	PRP$
20165	56	12	buildings	building	NNS
20165	56	13	and	and	CC
20165	56	14	the	the	DT
20165	56	15	details	detail	NNS
20165	56	16	thereof	thereof	RB
20165	56	17	;	;	:
20165	56	18	how	how	WRB
20165	56	19	to	to	TO
20165	56	20	give	give	VB
20165	56	21	height	height	NN
20165	56	22	and	and	CC
20165	56	23	importance	importance	VB
20165	56	24	both	both	DT
20165	56	25	to	to	IN
20165	56	26	the	the	DT
20165	56	27	interior	interior	NNP
20165	56	28	and	and	CC
20165	56	29	exterior	exterior	NN
20165	56	30	;	;	:
20165	56	31	also	also	RB
20165	56	32	to	to	TO
20165	56	33	give	give	VB
20165	56	34	the	the	DT
20165	56	35	right	right	JJ
20165	56	36	sizes	size	NNS
20165	56	37	of	of	IN
20165	56	38	windows	window	NNS
20165	56	39	,	,	,
20165	56	40	doorways	doorway	NNS
20165	56	41	,	,	,
20165	56	42	columns	column	NNS
20165	56	43	,	,	,
20165	56	44	vaults	vault	NNS
20165	56	45	,	,	,
20165	56	46	and	and	CC
20165	56	47	other	other	JJ
20165	56	48	parts	part	NNS
20165	56	49	,	,	,
20165	56	50	and	and	CC
20165	56	51	the	the	DT
20165	56	52	various	various	JJ
20165	56	53	heights	height	NNS
20165	56	54	they	-PRON-	PRP
20165	56	55	should	should	MD
20165	56	56	make	make	VB
20165	56	57	their	-PRON-	PRP$
20165	56	58	towers	tower	NNS
20165	56	59	,	,	,
20165	56	60	walls	wall	NNS
20165	56	61	,	,	,
20165	56	62	arches	arch	NNS
20165	56	63	,	,	,
20165	56	64	roofs	roof	NNS
20165	56	65	,	,	,
20165	56	66	and	and	CC
20165	56	67	so	so	RB
20165	56	68	forth	forth	RB
20165	56	69	.	.	.
20165	57	1	One	one	CD
20165	57	2	of	of	IN
20165	57	3	the	the	DT
20165	57	4	most	most	RBS
20165	57	5	beautiful	beautiful	JJ
20165	57	6	examples	example	NNS
20165	57	7	of	of	IN
20165	57	8	the	the	DT
20165	57	9	application	application	NN
20165	57	10	of	of	IN
20165	57	11	this	this	DT
20165	57	12	knowledge	knowledge	NN
20165	57	13	to	to	IN
20165	57	14	architecture	architecture	NN
20165	57	15	is	be	VBZ
20165	57	16	the	the	DT
20165	57	17	Campanile	Campanile	NNP
20165	57	18	of	of	IN
20165	57	19	the	the	DT
20165	57	20	Cathedral	Cathedral	NNP
20165	57	21	,	,	,
20165	57	22	at	at	IN
20165	57	23	Florence	Florence	NNP
20165	57	24	,	,	,
20165	57	25	built	build	VBN
20165	57	26	by	by	IN
20165	57	27	Giotto	Giotto	NNP
20165	57	28	and	and	CC
20165	57	29	Taddeo	Taddeo	NNP
20165	57	30	Gaddi	Gaddi	NNP
20165	57	31	,	,	,
20165	57	32	who	who	WP
20165	57	33	were	be	VBD
20165	57	34	painters	painter	NNS
20165	57	35	as	as	RB
20165	57	36	well	well	RB
20165	57	37	as	as	IN
20165	57	38	architects	architect	NNS
20165	57	39	.	.	.
20165	58	1	Here	here	RB
20165	58	2	it	-PRON-	PRP
20165	58	3	will	will	MD
20165	58	4	be	be	VB
20165	58	5	seen	see	VBN
20165	58	6	that	that	IN
20165	58	7	the	the	DT
20165	58	8	height	height	NN
20165	58	9	of	of	IN
20165	58	10	the	the	DT
20165	58	11	windows	window	NNS
20165	58	12	is	be	VBZ
20165	58	13	increased	increase	VBN
20165	58	14	as	as	IN
20165	58	15	they	-PRON-	PRP
20165	58	16	are	be	VBP
20165	58	17	placed	place	VBN
20165	58	18	higher	higher	RBR
20165	58	19	up	up	RP
20165	58	20	in	in	IN
20165	58	21	the	the	DT
20165	58	22	building	building	NN
20165	58	23	,	,	,
20165	58	24	and	and	CC
20165	58	25	the	the	DT
20165	58	26	top	top	JJ
20165	58	27	windows	window	NNS
20165	58	28	or	or	CC
20165	58	29	openings	opening	NNS
20165	58	30	into	into	IN
20165	58	31	the	the	DT
20165	58	32	belfry	belfry	NN
20165	58	33	are	be	VBP
20165	58	34	about	about	RB
20165	58	35	six	six	CD
20165	58	36	times	time	NNS
20165	58	37	the	the	DT
20165	58	38	size	size	NN
20165	58	39	of	of	IN
20165	58	40	those	those	DT
20165	58	41	in	in	IN
20165	58	42	the	the	DT
20165	58	43	lower	low	JJR
20165	58	44	story	story	NN
20165	58	45	.	.	.
20165	59	1	WHAT	what	WP
20165	59	2	IS	be	VBZ
20165	59	3	PERSPECTIVE	perspective	NN
20165	59	4	?	?	.
20165	60	1	[	[	-LRB-
20165	60	2	Illustration	illustration	NN
20165	60	3	:	:	:
20165	60	4	Fig	Fig	NNP
20165	60	5	.	.	.
20165	61	1	1	1	LS
20165	61	2	.	.	.
20165	61	3	]	]	-RRB-
20165	62	1	Perspective	perspective	NN
20165	62	2	is	be	VBZ
20165	62	3	a	a	DT
20165	62	4	subtle	subtle	JJ
20165	62	5	form	form	NN
20165	62	6	of	of	IN
20165	62	7	geometry	geometry	NN
20165	62	8	;	;	:
20165	62	9	it	-PRON-	PRP
20165	62	10	represents	represent	VBZ
20165	62	11	figures	figure	NNS
20165	62	12	and	and	CC
20165	62	13	objects	object	VBZ
20165	62	14	not	not	RB
20165	62	15	as	as	IN
20165	62	16	they	-PRON-	PRP
20165	62	17	are	be	VBP
20165	62	18	but	but	CC
20165	62	19	as	as	IN
20165	62	20	we	-PRON-	PRP
20165	62	21	see	see	VBP
20165	62	22	them	-PRON-	PRP
20165	62	23	in	in	IN
20165	62	24	space	space	NN
20165	62	25	,	,	,
20165	62	26	whereas	whereas	IN
20165	62	27	geometry	geometry	NN
20165	62	28	represents	represent	VBZ
20165	62	29	figures	figure	NNS
20165	62	30	not	not	RB
20165	62	31	as	as	IN
20165	62	32	we	-PRON-	PRP
20165	62	33	see	see	VBP
20165	62	34	them	-PRON-	PRP
20165	62	35	but	but	CC
20165	62	36	as	as	IN
20165	62	37	they	-PRON-	PRP
20165	62	38	are	be	VBP
20165	62	39	.	.	.
20165	63	1	When	when	WRB
20165	63	2	we	-PRON-	PRP
20165	63	3	have	have	VBP
20165	63	4	a	a	DT
20165	63	5	front	front	JJ
20165	63	6	view	view	NN
20165	63	7	of	of	IN
20165	63	8	a	a	DT
20165	63	9	figure	figure	NN
20165	63	10	such	such	JJ
20165	63	11	as	as	IN
20165	63	12	a	a	DT
20165	63	13	square	square	NN
20165	63	14	,	,	,
20165	63	15	its	-PRON-	PRP$
20165	63	16	perspective	perspective	NN
20165	63	17	and	and	CC
20165	63	18	geometrical	geometrical	JJ
20165	63	19	appearance	appearance	NN
20165	63	20	is	be	VBZ
20165	63	21	the	the	DT
20165	63	22	same	same	JJ
20165	63	23	,	,	,
20165	63	24	and	and	CC
20165	63	25	we	-PRON-	PRP
20165	63	26	see	see	VBP
20165	63	27	it	-PRON-	PRP
20165	63	28	as	as	IN
20165	63	29	it	-PRON-	PRP
20165	63	30	really	really	RB
20165	63	31	is	be	VBZ
20165	63	32	,	,	,
20165	63	33	that	that	RB
20165	63	34	is	is	RB
20165	63	35	,	,	,
20165	63	36	with	with	IN
20165	63	37	all	all	DT
20165	63	38	its	-PRON-	PRP$
20165	63	39	sides	side	NNS
20165	63	40	equal	equal	JJ
20165	63	41	and	and	CC
20165	63	42	all	all	PDT
20165	63	43	its	-PRON-	PRP$
20165	63	44	angles	angle	NNS
20165	63	45	right	right	JJ
20165	63	46	angles	angle	NNS
20165	63	47	,	,	,
20165	63	48	the	the	DT
20165	63	49	perspective	perspective	NN
20165	63	50	only	only	RB
20165	63	51	varying	varying	NN
20165	63	52	in	in	IN
20165	63	53	size	size	NN
20165	63	54	according	accord	VBG
20165	63	55	to	to	IN
20165	63	56	the	the	DT
20165	63	57	distance	distance	NN
20165	63	58	we	-PRON-	PRP
20165	63	59	are	be	VBP
20165	63	60	from	from	IN
20165	63	61	it	-PRON-	PRP
20165	63	62	;	;	:
20165	63	63	but	but	CC
20165	63	64	if	if	IN
20165	63	65	we	-PRON-	PRP
20165	63	66	place	place	VBP
20165	63	67	that	that	DT
20165	63	68	square	square	JJ
20165	63	69	flat	flat	RB
20165	63	70	on	on	IN
20165	63	71	the	the	DT
20165	63	72	table	table	NN
20165	63	73	and	and	CC
20165	63	74	look	look	VB
20165	63	75	at	at	IN
20165	63	76	it	-PRON-	PRP
20165	63	77	sideways	sideways	RB
20165	63	78	or	or	CC
20165	63	79	at	at	IN
20165	63	80	an	an	DT
20165	63	81	angle	angle	NN
20165	63	82	,	,	,
20165	63	83	then	then	RB
20165	63	84	we	-PRON-	PRP
20165	63	85	become	become	VBP
20165	63	86	conscious	conscious	JJ
20165	63	87	of	of	IN
20165	63	88	certain	certain	JJ
20165	63	89	changes	change	NNS
20165	63	90	in	in	IN
20165	63	91	its	-PRON-	PRP$
20165	63	92	form	form	NN
20165	63	93	--	--	:
20165	63	94	the	the	DT
20165	63	95	side	side	NN
20165	63	96	farthest	farthest	VBP
20165	63	97	from	from	IN
20165	63	98	us	-PRON-	PRP
20165	63	99	appears	appear	VBZ
20165	63	100	shorter	short	JJR
20165	63	101	than	than	IN
20165	63	102	that	that	DT
20165	63	103	near	near	RB
20165	63	104	to	to	IN
20165	63	105	us	-PRON-	PRP
20165	63	106	,	,	,
20165	63	107	and	and	CC
20165	63	108	all	all	PDT
20165	63	109	the	the	DT
20165	63	110	angles	angle	NNS
20165	63	111	are	be	VBP
20165	63	112	different	different	JJ
20165	63	113	.	.	.
20165	64	1	Thus	thus	RB
20165	64	2	A	a	DT
20165	64	3	(	(	-LRB-
20165	64	4	Fig	fig	NN
20165	64	5	.	.	.
20165	65	1	2	2	LS
20165	65	2	)	)	-RRB-
20165	65	3	is	be	VBZ
20165	65	4	a	a	DT
20165	65	5	geometrical	geometrical	JJ
20165	65	6	square	square	NN
20165	65	7	and	and	CC
20165	65	8	B	b	NN
20165	65	9	is	be	VBZ
20165	65	10	the	the	DT
20165	65	11	same	same	JJ
20165	65	12	square	square	NN
20165	65	13	seen	see	VBN
20165	65	14	in	in	IN
20165	65	15	perspective	perspective	NN
20165	65	16	.	.	.
20165	66	1	[	[	-LRB-
20165	66	2	Illustration	illustration	NN
20165	66	3	:	:	:
20165	66	4	Fig	Fig	NNP
20165	66	5	.	.	.
20165	67	1	2	2	LS
20165	67	2	.	.	.
20165	67	3	]	]	-RRB-
20165	68	1	[	[	-LRB-
20165	68	2	Illustration	illustration	NN
20165	68	3	:	:	:
20165	68	4	Fig	Fig	NNP
20165	68	5	.	.	.
20165	69	1	3	3	LS
20165	69	2	.	.	.
20165	69	3	]	]	-RRB-
20165	70	1	The	the	DT
20165	70	2	science	science	NN
20165	70	3	of	of	IN
20165	70	4	perspective	perspective	NN
20165	70	5	gives	give	VBZ
20165	70	6	the	the	DT
20165	70	7	dimensions	dimension	NNS
20165	70	8	of	of	IN
20165	70	9	objects	object	NNS
20165	70	10	seen	see	VBN
20165	70	11	in	in	IN
20165	70	12	space	space	NN
20165	70	13	as	as	IN
20165	70	14	they	-PRON-	PRP
20165	70	15	appear	appear	VBP
20165	70	16	to	to	IN
20165	70	17	the	the	DT
20165	70	18	eye	eye	NN
20165	70	19	of	of	IN
20165	70	20	the	the	DT
20165	70	21	spectator	spectator	NN
20165	70	22	,	,	,
20165	70	23	just	just	RB
20165	70	24	as	as	IN
20165	70	25	a	a	DT
20165	70	26	perfect	perfect	JJ
20165	70	27	tracing	tracing	NN
20165	70	28	of	of	IN
20165	70	29	those	those	DT
20165	70	30	objects	object	NNS
20165	70	31	on	on	IN
20165	70	32	a	a	DT
20165	70	33	sheet	sheet	NN
20165	70	34	of	of	IN
20165	70	35	glass	glass	NN
20165	70	36	placed	place	VBN
20165	70	37	vertically	vertically	RB
20165	70	38	between	between	IN
20165	70	39	him	-PRON-	PRP
20165	70	40	and	and	CC
20165	70	41	them	-PRON-	PRP
20165	70	42	would	would	MD
20165	70	43	do	do	VB
20165	70	44	;	;	:
20165	70	45	indeed	indeed	RB
20165	70	46	its	-PRON-	PRP$
20165	70	47	very	very	JJ
20165	70	48	name	name	NN
20165	70	49	is	be	VBZ
20165	70	50	derived	derive	VBN
20165	70	51	from	from	IN
20165	70	52	_	_	NNP
20165	70	53	perspicere	perspicere	RB
20165	70	54	_	_	NNP
20165	70	55	,	,	,
20165	70	56	to	to	TO
20165	70	57	see	see	VB
20165	70	58	through	through	RP
20165	70	59	.	.	.
20165	71	1	But	but	CC
20165	71	2	as	as	IN
20165	71	3	no	no	DT
20165	71	4	tracing	tracing	NN
20165	71	5	done	do	VBN
20165	71	6	by	by	IN
20165	71	7	hand	hand	NN
20165	71	8	could	could	MD
20165	71	9	possibly	possibly	RB
20165	71	10	be	be	VB
20165	71	11	mathematically	mathematically	RB
20165	71	12	correct	correct	JJ
20165	71	13	,	,	,
20165	71	14	the	the	DT
20165	71	15	mathematician	mathematician	NN
20165	71	16	teaches	teach	VBZ
20165	71	17	us	-PRON-	PRP
20165	71	18	how	how	WRB
20165	71	19	by	by	IN
20165	71	20	certain	certain	JJ
20165	71	21	points	point	NNS
20165	71	22	and	and	CC
20165	71	23	measurements	measurement	NNS
20165	71	24	we	-PRON-	PRP
20165	71	25	may	may	MD
20165	71	26	yet	yet	RB
20165	71	27	give	give	VB
20165	71	28	a	a	DT
20165	71	29	perfect	perfect	JJ
20165	71	30	image	image	NN
20165	71	31	of	of	IN
20165	71	32	them	-PRON-	PRP
20165	71	33	.	.	.
20165	72	1	These	these	DT
20165	72	2	images	image	NNS
20165	72	3	are	be	VBP
20165	72	4	called	call	VBN
20165	72	5	projections	projection	NNS
20165	72	6	,	,	,
20165	72	7	but	but	CC
20165	72	8	the	the	DT
20165	72	9	artist	artist	NN
20165	72	10	calls	call	VBZ
20165	72	11	them	-PRON-	PRP
20165	72	12	pictures	picture	NNS
20165	72	13	.	.	.
20165	73	1	In	in	IN
20165	73	2	this	this	DT
20165	73	3	sketch	sketch	NN
20165	73	4	_	_	NNP
20165	73	5	K	K	NNP
20165	73	6	_	_	NNP
20165	73	7	is	be	VBZ
20165	73	8	the	the	DT
20165	73	9	vertical	vertical	JJ
20165	73	10	transparent	transparent	JJ
20165	73	11	plane	plane	NN
20165	73	12	or	or	CC
20165	73	13	picture	picture	NN
20165	73	14	,	,	,
20165	73	15	_	_	NNP
20165	73	16	O	O	NNP
20165	73	17	_	_	NNP
20165	73	18	is	be	VBZ
20165	73	19	a	a	DT
20165	73	20	cube	cube	NN
20165	73	21	placed	place	VBN
20165	73	22	on	on	IN
20165	73	23	one	one	CD
20165	73	24	side	side	NN
20165	73	25	of	of	IN
20165	73	26	it	-PRON-	PRP
20165	73	27	.	.	.
20165	74	1	The	the	DT
20165	74	2	young	young	JJ
20165	74	3	student	student	NN
20165	74	4	is	be	VBZ
20165	74	5	the	the	DT
20165	74	6	spectator	spectator	NN
20165	74	7	on	on	IN
20165	74	8	the	the	DT
20165	74	9	other	other	JJ
20165	74	10	side	side	NN
20165	74	11	of	of	IN
20165	74	12	it	-PRON-	PRP
20165	74	13	,	,	,
20165	74	14	the	the	DT
20165	74	15	dotted	dotted	JJ
20165	74	16	lines	line	NNS
20165	74	17	drawn	draw	VBN
20165	74	18	from	from	IN
20165	74	19	the	the	DT
20165	74	20	corners	corner	NNS
20165	74	21	of	of	IN
20165	74	22	the	the	DT
20165	74	23	cube	cube	NN
20165	74	24	to	to	IN
20165	74	25	the	the	DT
20165	74	26	eye	eye	NN
20165	74	27	of	of	IN
20165	74	28	the	the	DT
20165	74	29	spectator	spectator	NN
20165	74	30	are	be	VBP
20165	74	31	the	the	DT
20165	74	32	visual	visual	JJ
20165	74	33	rays	ray	NNS
20165	74	34	,	,	,
20165	74	35	and	and	CC
20165	74	36	the	the	DT
20165	74	37	points	point	NNS
20165	74	38	on	on	IN
20165	74	39	the	the	DT
20165	74	40	transparent	transparent	JJ
20165	74	41	picture	picture	NN
20165	74	42	plane	plane	NN
20165	74	43	where	where	WRB
20165	74	44	these	these	DT
20165	74	45	visual	visual	JJ
20165	74	46	rays	ray	NNS
20165	74	47	pass	pass	VBP
20165	74	48	through	through	IN
20165	74	49	it	-PRON-	PRP
20165	74	50	indicate	indicate	VBP
20165	74	51	the	the	DT
20165	74	52	perspective	perspective	JJ
20165	74	53	position	position	NN
20165	74	54	of	of	IN
20165	74	55	those	those	DT
20165	74	56	points	point	NNS
20165	74	57	on	on	IN
20165	74	58	the	the	DT
20165	74	59	picture	picture	NN
20165	74	60	.	.	.
20165	75	1	To	to	TO
20165	75	2	find	find	VB
20165	75	3	these	these	DT
20165	75	4	points	point	NNS
20165	75	5	is	be	VBZ
20165	75	6	the	the	DT
20165	75	7	main	main	JJ
20165	75	8	object	object	NN
20165	75	9	or	or	CC
20165	75	10	duty	duty	NN
20165	75	11	of	of	IN
20165	75	12	linear	linear	JJ
20165	75	13	perspective	perspective	NN
20165	75	14	.	.	.
20165	76	1	Perspective	perspective	VB
20165	76	2	up	up	IN
20165	76	3	to	to	IN
20165	76	4	a	a	DT
20165	76	5	certain	certain	JJ
20165	76	6	point	point	NN
20165	76	7	is	be	VBZ
20165	76	8	a	a	DT
20165	76	9	pure	pure	JJ
20165	76	10	science	science	NN
20165	76	11	,	,	,
20165	76	12	not	not	RB
20165	76	13	depending	depend	VBG
20165	76	14	upon	upon	IN
20165	76	15	the	the	DT
20165	76	16	accidents	accident	NNS
20165	76	17	of	of	IN
20165	76	18	vision	vision	NN
20165	76	19	,	,	,
20165	76	20	but	but	CC
20165	76	21	upon	upon	IN
20165	76	22	the	the	DT
20165	76	23	exact	exact	JJ
20165	76	24	laws	law	NNS
20165	76	25	of	of	IN
20165	76	26	reasoning	reasoning	NN
20165	76	27	.	.	.
20165	77	1	Nor	nor	CC
20165	77	2	is	be	VBZ
20165	77	3	it	-PRON-	PRP
20165	77	4	to	to	TO
20165	77	5	be	be	VB
20165	77	6	considered	consider	VBN
20165	77	7	as	as	RB
20165	77	8	only	only	RB
20165	77	9	pertaining	pertain	VBG
20165	77	10	to	to	IN
20165	77	11	the	the	DT
20165	77	12	craft	craft	NN
20165	77	13	of	of	IN
20165	77	14	the	the	DT
20165	77	15	painter	painter	NN
20165	77	16	and	and	CC
20165	77	17	draughtsman	draughtsman	NNP
20165	77	18	.	.	.
20165	78	1	It	-PRON-	PRP
20165	78	2	has	have	VBZ
20165	78	3	an	an	DT
20165	78	4	intimate	intimate	JJ
20165	78	5	connexion	connexion	NN
20165	78	6	with	with	IN
20165	78	7	our	-PRON-	PRP$
20165	78	8	mental	mental	JJ
20165	78	9	perceptions	perception	NNS
20165	78	10	and	and	CC
20165	78	11	with	with	IN
20165	78	12	the	the	DT
20165	78	13	ideas	idea	NNS
20165	78	14	that	that	WDT
20165	78	15	are	be	VBP
20165	78	16	impressed	impressed	JJ
20165	78	17	upon	upon	IN
20165	78	18	the	the	DT
20165	78	19	brain	brain	NN
20165	78	20	by	by	IN
20165	78	21	the	the	DT
20165	78	22	appearance	appearance	NN
20165	78	23	of	of	IN
20165	78	24	all	all	DT
20165	78	25	that	that	WDT
20165	78	26	surrounds	surround	VBZ
20165	78	27	us	-PRON-	PRP
20165	78	28	.	.	.
20165	79	1	If	if	IN
20165	79	2	we	-PRON-	PRP
20165	79	3	saw	see	VBD
20165	79	4	everything	everything	NN
20165	79	5	as	as	IN
20165	79	6	depicted	depict	VBN
20165	79	7	by	by	IN
20165	79	8	plane	plane	NN
20165	79	9	geometry	geometry	NN
20165	79	10	,	,	,
20165	79	11	that	that	RB
20165	79	12	is	is	RB
20165	79	13	,	,	,
20165	79	14	as	as	IN
20165	79	15	a	a	DT
20165	79	16	map	map	NN
20165	79	17	,	,	,
20165	79	18	we	-PRON-	PRP
20165	79	19	should	should	MD
20165	79	20	have	have	VB
20165	79	21	no	no	DT
20165	79	22	difference	difference	NN
20165	79	23	of	of	IN
20165	79	24	view	view	NN
20165	79	25	,	,	,
20165	79	26	no	no	DT
20165	79	27	variety	variety	NN
20165	79	28	of	of	IN
20165	79	29	ideas	idea	NNS
20165	79	30	,	,	,
20165	79	31	and	and	CC
20165	79	32	we	-PRON-	PRP
20165	79	33	should	should	MD
20165	79	34	live	live	VB
20165	79	35	in	in	IN
20165	79	36	a	a	DT
20165	79	37	world	world	NN
20165	79	38	of	of	IN
20165	79	39	unbearable	unbearable	JJ
20165	79	40	monotony	monotony	NN
20165	79	41	;	;	:
20165	79	42	but	but	CC
20165	79	43	as	as	IN
20165	79	44	we	-PRON-	PRP
20165	79	45	see	see	VBP
20165	79	46	everything	everything	NN
20165	79	47	in	in	IN
20165	79	48	perspective	perspective	NN
20165	79	49	,	,	,
20165	79	50	which	which	WDT
20165	79	51	is	be	VBZ
20165	79	52	infinite	infinite	JJ
20165	79	53	in	in	IN
20165	79	54	its	-PRON-	PRP$
20165	79	55	variety	variety	NN
20165	79	56	of	of	IN
20165	79	57	aspect	aspect	NN
20165	79	58	,	,	,
20165	79	59	our	-PRON-	PRP$
20165	79	60	minds	mind	NNS
20165	79	61	are	be	VBP
20165	79	62	subjected	subject	VBN
20165	79	63	to	to	IN
20165	79	64	countless	countless	JJ
20165	79	65	phases	phase	NNS
20165	79	66	of	of	IN
20165	79	67	thought	thought	NN
20165	79	68	,	,	,
20165	79	69	making	make	VBG
20165	79	70	the	the	DT
20165	79	71	world	world	NN
20165	79	72	around	around	IN
20165	79	73	us	-PRON-	PRP
20165	79	74	constantly	constantly	RB
20165	79	75	interesting	interesting	JJ
20165	79	76	,	,	,
20165	79	77	so	so	CC
20165	79	78	it	-PRON-	PRP
20165	79	79	is	be	VBZ
20165	79	80	devised	devise	VBN
20165	79	81	that	that	IN
20165	79	82	we	-PRON-	PRP
20165	79	83	shall	shall	MD
20165	79	84	see	see	VB
20165	79	85	the	the	DT
20165	79	86	infinite	infinite	NN
20165	79	87	wherever	wherever	WRB
20165	79	88	we	-PRON-	PRP
20165	79	89	turn	turn	VBP
20165	79	90	,	,	,
20165	79	91	and	and	CC
20165	79	92	marvel	marvel	VB
20165	79	93	at	at	IN
20165	79	94	it	-PRON-	PRP
20165	79	95	,	,	,
20165	79	96	and	and	CC
20165	79	97	delight	delight	NN
20165	79	98	in	in	IN
20165	79	99	it	-PRON-	PRP
20165	79	100	,	,	,
20165	79	101	although	although	IN
20165	79	102	perhaps	perhaps	RB
20165	79	103	in	in	IN
20165	79	104	many	many	JJ
20165	79	105	cases	case	NNS
20165	79	106	unconsciously	unconsciously	RB
20165	79	107	.	.	.
20165	80	1	[	[	-LRB-
20165	80	2	Illustration	illustration	NN
20165	80	3	:	:	:
20165	80	4	Fig	Fig	NNP
20165	80	5	.	.	.
20165	81	1	4	4	LS
20165	81	2	.	.	.
20165	81	3	]	]	-RRB-
20165	82	1	[	[	-LRB-
20165	82	2	Illustration	illustration	NN
20165	82	3	:	:	:
20165	82	4	Fig	Fig	NNP
20165	82	5	.	.	.
20165	83	1	5	5	CD
20165	83	2	.	.	.
20165	83	3	]	]	-RRB-
20165	84	1	In	in	IN
20165	84	2	perspective	perspective	NN
20165	84	3	,	,	,
20165	84	4	as	as	IN
20165	84	5	in	in	IN
20165	84	6	geometry	geometry	NN
20165	84	7	,	,	,
20165	84	8	we	-PRON-	PRP
20165	84	9	deal	deal	VBP
20165	84	10	with	with	IN
20165	84	11	parallels	parallel	NNS
20165	84	12	,	,	,
20165	84	13	squares	square	NNS
20165	84	14	,	,	,
20165	84	15	triangles	triangle	NNS
20165	84	16	,	,	,
20165	84	17	cubes	cube	NNS
20165	84	18	,	,	,
20165	84	19	circles	circle	NNS
20165	84	20	,	,	,
20165	84	21	&	&	CC
20165	84	22	c.	c.	NNP
20165	84	23	;	;	:
20165	84	24	but	but	CC
20165	84	25	in	in	IN
20165	84	26	perspective	perspective	NN
20165	84	27	the	the	DT
20165	84	28	same	same	JJ
20165	84	29	figure	figure	NN
20165	84	30	takes	take	VBZ
20165	84	31	an	an	DT
20165	84	32	endless	endless	JJ
20165	84	33	variety	variety	NN
20165	84	34	of	of	IN
20165	84	35	forms	form	NNS
20165	84	36	,	,	,
20165	84	37	whereas	whereas	IN
20165	84	38	in	in	IN
20165	84	39	geometry	geometry	NN
20165	84	40	it	-PRON-	PRP
20165	84	41	has	have	VBZ
20165	84	42	but	but	CC
20165	84	43	one	one	CD
20165	84	44	.	.	.
20165	85	1	Here	here	RB
20165	85	2	are	be	VBP
20165	85	3	three	three	CD
20165	85	4	equal	equal	JJ
20165	85	5	geometrical	geometrical	JJ
20165	85	6	squares	square	NNS
20165	85	7	:	:	:
20165	85	8	they	-PRON-	PRP
20165	85	9	are	be	VBP
20165	85	10	all	all	RB
20165	85	11	alike	alike	JJ
20165	85	12	.	.	.
20165	86	1	Here	here	RB
20165	86	2	are	be	VBP
20165	86	3	three	three	CD
20165	86	4	equal	equal	JJ
20165	86	5	perspective	perspective	NN
20165	86	6	squares	square	NNS
20165	86	7	,	,	,
20165	86	8	but	but	CC
20165	86	9	all	all	DT
20165	86	10	varied	vary	VBN
20165	86	11	in	in	IN
20165	86	12	form	form	NN
20165	86	13	;	;	:
20165	86	14	and	and	CC
20165	86	15	the	the	DT
20165	86	16	same	same	JJ
20165	86	17	figure	figure	NN
20165	86	18	changes	change	NNS
20165	86	19	in	in	IN
20165	86	20	aspect	aspect	NN
20165	86	21	as	as	RB
20165	86	22	often	often	RB
20165	86	23	as	as	IN
20165	86	24	we	-PRON-	PRP
20165	86	25	view	view	VBP
20165	86	26	it	-PRON-	PRP
20165	86	27	from	from	IN
20165	86	28	a	a	DT
20165	86	29	different	different	JJ
20165	86	30	position	position	NN
20165	86	31	.	.	.
20165	87	1	A	a	DT
20165	87	2	walk	walk	NN
20165	87	3	round	round	IN
20165	87	4	the	the	DT
20165	87	5	dining	dining	NN
20165	87	6	-	-	HYPH
20165	87	7	room	room	NN
20165	87	8	table	table	NN
20165	87	9	will	will	MD
20165	87	10	exemplify	exemplify	VB
20165	87	11	this	this	DT
20165	87	12	.	.	.
20165	88	1	It	-PRON-	PRP
20165	88	2	is	be	VBZ
20165	88	3	in	in	IN
20165	88	4	proving	prove	VBG
20165	88	5	that	that	IN
20165	88	6	,	,	,
20165	88	7	notwithstanding	notwithstanding	IN
20165	88	8	this	this	DT
20165	88	9	difference	difference	NN
20165	88	10	of	of	IN
20165	88	11	appearance	appearance	NN
20165	88	12	,	,	,
20165	88	13	the	the	DT
20165	88	14	figures	figure	NNS
20165	88	15	do	do	VBP
20165	88	16	represent	represent	VB
20165	88	17	the	the	DT
20165	88	18	same	same	JJ
20165	88	19	form	form	NN
20165	88	20	,	,	,
20165	88	21	that	that	IN
20165	88	22	much	much	JJ
20165	88	23	of	of	IN
20165	88	24	our	-PRON-	PRP$
20165	88	25	work	work	NN
20165	88	26	consists	consist	VBZ
20165	88	27	;	;	:
20165	88	28	and	and	CC
20165	88	29	for	for	IN
20165	88	30	those	those	DT
20165	88	31	who	who	WP
20165	88	32	care	care	VBP
20165	88	33	to	to	TO
20165	88	34	exercise	exercise	VB
20165	88	35	their	-PRON-	PRP$
20165	88	36	reasoning	reasoning	NN
20165	88	37	powers	power	NNS
20165	88	38	it	-PRON-	PRP
20165	88	39	becomes	become	VBZ
20165	88	40	not	not	RB
20165	88	41	only	only	RB
20165	88	42	a	a	DT
20165	88	43	sure	sure	JJ
20165	88	44	means	means	NN
20165	88	45	of	of	IN
20165	88	46	knowledge	knowledge	NN
20165	88	47	,	,	,
20165	88	48	but	but	CC
20165	88	49	a	a	DT
20165	88	50	study	study	NN
20165	88	51	of	of	IN
20165	88	52	the	the	DT
20165	88	53	greatest	great	JJS
20165	88	54	interest	interest	NN
20165	88	55	.	.	.
20165	89	1	Perspective	perspective	NN
20165	89	2	is	be	VBZ
20165	89	3	said	say	VBN
20165	89	4	to	to	TO
20165	89	5	have	have	VB
20165	89	6	been	be	VBN
20165	89	7	formed	form	VBN
20165	89	8	into	into	IN
20165	89	9	a	a	DT
20165	89	10	science	science	NN
20165	89	11	about	about	IN
20165	89	12	the	the	DT
20165	89	13	fifteenth	fifteenth	JJ
20165	89	14	century	century	NN
20165	89	15	.	.	.
20165	90	1	Among	among	IN
20165	90	2	the	the	DT
20165	90	3	names	name	NNS
20165	90	4	mentioned	mention	VBN
20165	90	5	by	by	IN
20165	90	6	the	the	DT
20165	90	7	unknown	unknown	JJ
20165	90	8	but	but	CC
20165	90	9	pleasant	pleasant	JJ
20165	90	10	author	author	NN
20165	90	11	of	of	IN
20165	90	12	_	_	NNP
20165	90	13	The	the	DT
20165	90	14	Practice	Practice	NNP
20165	90	15	of	of	IN
20165	90	16	Perspective	Perspective	NNP
20165	90	17	_	_	NNP
20165	90	18	,	,	,
20165	90	19	written	write	VBN
20165	90	20	by	by	IN
20165	90	21	a	a	DT
20165	90	22	Jesuit	Jesuit	NNP
20165	90	23	of	of	IN
20165	90	24	Paris	Paris	NNP
20165	90	25	in	in	IN
20165	90	26	the	the	DT
20165	90	27	eighteenth	eighteenth	JJ
20165	90	28	century	century	NN
20165	90	29	,	,	,
20165	90	30	we	-PRON-	PRP
20165	90	31	find	find	VBP
20165	90	32	Albert	Albert	NNP
20165	90	33	Dürer	Dürer	NNP
20165	90	34	,	,	,
20165	90	35	who	who	WP
20165	90	36	has	have	VBZ
20165	90	37	left	leave	VBN
20165	90	38	us	-PRON-	PRP
20165	90	39	some	some	DT
20165	90	40	rules	rule	NNS
20165	90	41	and	and	CC
20165	90	42	principles	principle	NNS
20165	90	43	in	in	IN
20165	90	44	the	the	DT
20165	90	45	fourth	fourth	JJ
20165	90	46	book	book	NN
20165	90	47	of	of	IN
20165	90	48	his	-PRON-	PRP$
20165	90	49	_	_	NNP
20165	90	50	Geometry	Geometry	NNP
20165	90	51	_	_	NNP
20165	90	52	;	;	:
20165	90	53	Jean	Jean	NNP
20165	90	54	Cousin	Cousin	NNP
20165	90	55	,	,	,
20165	90	56	who	who	WP
20165	90	57	has	have	VBZ
20165	90	58	an	an	DT
20165	90	59	express	express	JJ
20165	90	60	treatise	treatise	NN
20165	90	61	on	on	IN
20165	90	62	the	the	DT
20165	90	63	art	art	NN
20165	90	64	wherein	wherein	WRB
20165	90	65	are	be	VBP
20165	90	66	many	many	JJ
20165	90	67	valuable	valuable	JJ
20165	90	68	things	thing	NNS
20165	90	69	;	;	:
20165	90	70	also	also	RB
20165	90	71	Vignola	Vignola	NNP
20165	90	72	,	,	,
20165	90	73	who	who	WP
20165	90	74	altered	alter	VBD
20165	90	75	the	the	DT
20165	90	76	plans	plan	NNS
20165	90	77	of	of	IN
20165	90	78	St.	St.	NNP
20165	90	79	Peter	Peter	NNP
20165	90	80	's	's	POS
20165	90	81	left	leave	VBN
20165	90	82	by	by	IN
20165	90	83	Michelangelo	Michelangelo	NNP
20165	90	84	;	;	:
20165	90	85	Serlio	Serlio	NNP
20165	90	86	,	,	,
20165	90	87	whose	whose	WP$
20165	90	88	treatise	treatise	NN
20165	90	89	is	be	VBZ
20165	90	90	one	one	CD
20165	90	91	of	of	IN
20165	90	92	the	the	DT
20165	90	93	best	good	JJS
20165	90	94	I	-PRON-	PRP
20165	90	95	have	have	VBP
20165	90	96	seen	see	VBN
20165	90	97	of	of	IN
20165	90	98	these	these	DT
20165	90	99	early	early	JJ
20165	90	100	writers	writer	NNS
20165	90	101	;	;	:
20165	90	102	Du	Du	NNP
20165	90	103	Cerceau	Cerceau	NNP
20165	90	104	,	,	,
20165	90	105	Serigati	Serigati	NNP
20165	90	106	,	,	,
20165	90	107	Solomon	Solomon	NNP
20165	90	108	de	de	NNP
20165	90	109	Cause	Cause	NNP
20165	90	110	,	,	,
20165	90	111	Marolois	Marolois	NNP
20165	90	112	,	,	,
20165	90	113	Vredemont	Vredemont	NNP
20165	90	114	;	;	:
20165	90	115	Guidus	Guidus	NNP
20165	90	116	Ubaldus	Ubaldus	NNP
20165	90	117	,	,	,
20165	90	118	who	who	WP
20165	90	119	first	first	RB
20165	90	120	introduced	introduce	VBD
20165	90	121	foreshortening	foreshorten	VBG
20165	90	122	;	;	:
20165	90	123	the	the	DT
20165	90	124	Sieur	Sieur	NNP
20165	90	125	de	de	NNP
20165	90	126	Vaulizard	Vaulizard	NNP
20165	90	127	,	,	,
20165	90	128	the	the	DT
20165	90	129	Sieur	Sieur	NNP
20165	90	130	Dufarges	Dufarges	NNPS
20165	90	131	,	,	,
20165	90	132	Joshua	Joshua	NNP
20165	90	133	Kirby	Kirby	NNP
20165	90	134	,	,	,
20165	90	135	for	for	IN
20165	90	136	whose	whose	WP$
20165	90	137	_	_	NNP
20165	90	138	Method	Method	NNP
20165	90	139	of	of	IN
20165	90	140	Perspective	Perspective	NNP
20165	90	141	made	make	VBD
20165	90	142	Easy	Easy	NNP
20165	90	143	_	_	NNP
20165	90	144	(	(	-LRB-
20165	90	145	?	?	.
20165	90	146	)	)	-RRB-
20165	91	1	Hogarth	Hogarth	NNP
20165	91	2	drew	draw	VBD
20165	91	3	the	the	DT
20165	91	4	well	well	RB
20165	91	5	-	-	HYPH
20165	91	6	known	know	VBN
20165	91	7	frontispiece	frontispiece	NN
20165	91	8	;	;	:
20165	91	9	and	and	CC
20165	91	10	lastly	lastly	RB
20165	91	11	,	,	,
20165	91	12	the	the	DT
20165	91	13	above	above	RB
20165	91	14	-	-	HYPH
20165	91	15	named	name	VBN
20165	91	16	_	_	NNP
20165	91	17	Practice	Practice	NNP
20165	91	18	of	of	IN
20165	91	19	Perspective	Perspective	NNP
20165	91	20	_	_	NNP
20165	91	21	by	by	IN
20165	91	22	a	a	DT
20165	91	23	Jesuit	Jesuit	NNP
20165	91	24	of	of	IN
20165	91	25	Paris	Paris	NNP
20165	91	26	,	,	,
20165	91	27	which	which	WDT
20165	91	28	is	be	VBZ
20165	91	29	very	very	RB
20165	91	30	clear	clear	JJ
20165	91	31	and	and	CC
20165	91	32	excellent	excellent	JJ
20165	91	33	as	as	RB
20165	91	34	far	far	RB
20165	91	35	as	as	IN
20165	91	36	it	-PRON-	PRP
20165	91	37	goes	go	VBZ
20165	91	38	,	,	,
20165	91	39	and	and	CC
20165	91	40	was	be	VBD
20165	91	41	the	the	DT
20165	91	42	book	book	NN
20165	91	43	used	use	VBN
20165	91	44	by	by	IN
20165	91	45	Sir	Sir	NNP
20165	91	46	Joshua	Joshua	NNP
20165	91	47	Reynolds	Reynolds	NNP
20165	91	48	.	.	.
20165	92	1	[	[	-LRB-
20165	92	2	2	2	CD
20165	92	3	]	]	-RRB-
20165	92	4	But	but	CC
20165	92	5	nearly	nearly	RB
20165	92	6	all	all	PDT
20165	92	7	these	these	DT
20165	92	8	authors	author	NNS
20165	92	9	treat	treat	VBP
20165	92	10	chiefly	chiefly	RB
20165	92	11	of	of	IN
20165	92	12	parallel	parallel	JJ
20165	92	13	perspective	perspective	NN
20165	92	14	,	,	,
20165	92	15	which	which	WDT
20165	92	16	they	-PRON-	PRP
20165	92	17	do	do	VBP
20165	92	18	with	with	IN
20165	92	19	clearness	clearness	NN
20165	92	20	and	and	CC
20165	92	21	simplicity	simplicity	NN
20165	92	22	,	,	,
20165	92	23	and	and	CC
20165	92	24	also	also	RB
20165	92	25	mathematically	mathematically	RB
20165	92	26	,	,	,
20165	92	27	as	as	IN
20165	92	28	shown	show	VBN
20165	92	29	in	in	IN
20165	92	30	the	the	DT
20165	92	31	short	short	JJ
20165	92	32	treatise	treatise	NN
20165	92	33	in	in	IN
20165	92	34	Latin	Latin	NNP
20165	92	35	by	by	IN
20165	92	36	Christian	Christian	NNP
20165	92	37	Wolff	Wolff	NNP
20165	92	38	,	,	,
20165	92	39	but	but	CC
20165	92	40	they	-PRON-	PRP
20165	92	41	scarcely	scarcely	RB
20165	92	42	touch	touch	VBP
20165	92	43	upon	upon	IN
20165	92	44	the	the	DT
20165	92	45	more	more	RBR
20165	92	46	difficult	difficult	JJ
20165	92	47	problems	problem	NNS
20165	92	48	of	of	IN
20165	92	49	angular	angular	JJ
20165	92	50	and	and	CC
20165	92	51	oblique	oblique	JJ
20165	92	52	perspective	perspective	NN
20165	92	53	.	.	.
20165	93	1	Of	of	IN
20165	93	2	modern	modern	JJ
20165	93	3	books	book	NNS
20165	93	4	,	,	,
20165	93	5	those	those	DT
20165	93	6	to	to	TO
20165	93	7	which	which	WDT
20165	93	8	I	-PRON-	PRP
20165	93	9	am	be	VBP
20165	93	10	most	most	RBS
20165	93	11	indebted	indebted	JJ
20165	93	12	are	be	VBP
20165	93	13	the	the	DT
20165	93	14	_	_	NNP
20165	93	15	Traité	Traité	NNP
20165	93	16	Pratique	Pratique	NNP
20165	93	17	de	de	NNP
20165	93	18	Perspective	Perspective	NNP
20165	93	19	_	_	NNP
20165	93	20	of	of	IN
20165	93	21	M.	M.	NNP
20165	93	22	A.	A.	NNP
20165	93	23	Cassagne	Cassagne	NNP
20165	93	24	(	(	-LRB-
20165	93	25	Paris	Paris	NNP
20165	93	26	,	,	,
20165	93	27	1873	1873	CD
20165	93	28	)	)	-RRB-
20165	93	29	,	,	,
20165	93	30	which	which	WDT
20165	93	31	is	be	VBZ
20165	93	32	thoroughly	thoroughly	RB
20165	93	33	artistic	artistic	JJ
20165	93	34	,	,	,
20165	93	35	and	and	CC
20165	93	36	full	full	JJ
20165	93	37	of	of	IN
20165	93	38	pictorial	pictorial	JJ
20165	93	39	examples	example	NNS
20165	93	40	admirably	admirably	RB
20165	93	41	done	do	VBN
20165	93	42	;	;	:
20165	93	43	and	and	CC
20165	93	44	to	to	IN
20165	93	45	M.	M.	NNP
20165	93	46	Henriet	Henriet	NNP
20165	93	47	's	's	POS
20165	93	48	_	_	NNP
20165	93	49	Cours	Cours	NNP
20165	93	50	Rational	Rational	NNP
20165	93	51	de	de	NNP
20165	93	52	Dessin	Dessin	NNP
20165	93	53	_	_	NNP
20165	93	54	.	.	.
20165	94	1	There	there	EX
20165	94	2	are	be	VBP
20165	94	3	many	many	JJ
20165	94	4	other	other	JJ
20165	94	5	foreign	foreign	JJ
20165	94	6	books	book	NNS
20165	94	7	of	of	IN
20165	94	8	excellence	excellence	NN
20165	94	9	,	,	,
20165	94	10	notably	notably	RB
20165	94	11	M.	M.	NNP
20165	94	12	Thibault	Thibault	NNP
20165	94	13	's	's	POS
20165	94	14	_	_	NNP
20165	94	15	Perspective	Perspective	NNP
20165	94	16	_	_	NNP
20165	94	17	,	,	,
20165	94	18	and	and	CC
20165	94	19	some	some	DT
20165	94	20	German	german	JJ
20165	94	21	and	and	CC
20165	94	22	Swiss	swiss	JJ
20165	94	23	books	book	NNS
20165	94	24	,	,	,
20165	94	25	and	and	CC
20165	94	26	yet	yet	RB
20165	94	27	,	,	,
20165	94	28	notwithstanding	notwithstanding	IN
20165	94	29	this	this	DT
20165	94	30	imposing	impose	VBG
20165	94	31	array	array	NN
20165	94	32	of	of	IN
20165	94	33	authors	author	NNS
20165	94	34	,	,	,
20165	94	35	I	-PRON-	PRP
20165	94	36	venture	venture	VBP
20165	94	37	to	to	TO
20165	94	38	say	say	VB
20165	94	39	that	that	IN
20165	94	40	many	many	JJ
20165	94	41	new	new	JJ
20165	94	42	features	feature	NNS
20165	94	43	and	and	CC
20165	94	44	original	original	JJ
20165	94	45	problems	problem	NNS
20165	94	46	are	be	VBP
20165	94	47	presented	present	VBN
20165	94	48	in	in	IN
20165	94	49	this	this	DT
20165	94	50	book	book	NN
20165	94	51	,	,	,
20165	94	52	whilst	whilst	IN
20165	94	53	the	the	DT
20165	94	54	old	old	JJ
20165	94	55	ones	one	NNS
20165	94	56	are	be	VBP
20165	94	57	not	not	RB
20165	94	58	neglected	neglect	VBN
20165	94	59	.	.	.
20165	95	1	As	as	IN
20165	95	2	,	,	,
20165	95	3	for	for	IN
20165	95	4	instance	instance	NN
20165	95	5	,	,	,
20165	95	6	How	how	WRB
20165	95	7	to	to	TO
20165	95	8	draw	draw	VB
20165	95	9	figures	figure	NNS
20165	95	10	at	at	IN
20165	95	11	an	an	DT
20165	95	12	angle	angle	NN
20165	95	13	without	without	IN
20165	95	14	vanishing	vanish	VBG
20165	95	15	points	point	NNS
20165	95	16	(	(	-LRB-
20165	95	17	see	see	VB
20165	95	18	p.	p.	NN
20165	95	19	141	141	CD
20165	95	20	,	,	,
20165	95	21	Fig	Fig	NNP
20165	95	22	.	.	.
20165	96	1	162	162	CD
20165	96	2	,	,	,
20165	96	3	&	&	CC
20165	96	4	c.	c.	NNP
20165	96	5	)	)	-RRB-
20165	96	6	,	,	,
20165	96	7	a	a	DT
20165	96	8	new	new	JJ
20165	96	9	method	method	NN
20165	96	10	of	of	IN
20165	96	11	angular	angular	JJ
20165	96	12	perspective	perspective	NN
20165	96	13	which	which	WDT
20165	96	14	dispenses	dispense	VBZ
20165	96	15	with	with	IN
20165	96	16	the	the	DT
20165	96	17	cumbersome	cumbersome	JJ
20165	96	18	setting	setting	NN
20165	96	19	out	out	RP
20165	96	20	usually	usually	RB
20165	96	21	adopted	adopt	VBN
20165	96	22	,	,	,
20165	96	23	and	and	CC
20165	96	24	enables	enable	VBZ
20165	96	25	us	-PRON-	PRP
20165	96	26	to	to	TO
20165	96	27	draw	draw	VB
20165	96	28	figures	figure	NNS
20165	96	29	at	at	IN
20165	96	30	any	any	DT
20165	96	31	angle	angle	NN
20165	96	32	without	without	IN
20165	96	33	vanishing	vanish	VBG
20165	96	34	lines	line	NNS
20165	96	35	,	,	,
20165	96	36	&	&	CC
20165	96	37	c.	c.	NNP
20165	96	38	,	,	,
20165	96	39	and	and	CC
20165	96	40	is	be	VBZ
20165	96	41	almost	almost	RB
20165	96	42	,	,	,
20165	96	43	if	if	IN
20165	96	44	not	not	RB
20165	96	45	quite	quite	RB
20165	96	46	,	,	,
20165	96	47	as	as	RB
20165	96	48	simple	simple	JJ
20165	96	49	as	as	IN
20165	96	50	parallel	parallel	JJ
20165	96	51	perspective	perspective	NN
20165	96	52	(	(	-LRB-
20165	96	53	see	see	VB
20165	96	54	p.	p.	NN
20165	96	55	133	133	CD
20165	96	56	,	,	,
20165	96	57	Fig	Fig	NNP
20165	96	58	.	.	.
20165	97	1	150	150	CD
20165	97	2	,	,	,
20165	97	3	&	&	CC
20165	97	4	c.	c.	NNP
20165	97	5	)	)	-RRB-
20165	97	6	.	.	.
20165	98	1	How	how	WRB
20165	98	2	to	to	TO
20165	98	3	measure	measure	VB
20165	98	4	distances	distance	NNS
20165	98	5	by	by	IN
20165	98	6	the	the	DT
20165	98	7	square	square	JJ
20165	98	8	and	and	CC
20165	98	9	diagonal	diagonal	JJ
20165	98	10	,	,	,
20165	98	11	and	and	CC
20165	98	12	to	to	TO
20165	98	13	draw	draw	VB
20165	98	14	interiors	interior	NNS
20165	98	15	thereby	thereby	RB
20165	98	16	(	(	-LRB-
20165	98	17	p.	p.	NN
20165	98	18	128	128	CD
20165	98	19	,	,	,
20165	98	20	Fig	Fig	NNP
20165	98	21	.	.	.
20165	99	1	144	144	LS
20165	99	2	)	)	-RRB-
20165	99	3	.	.	.
20165	100	1	How	how	WRB
20165	100	2	to	to	TO
20165	100	3	explain	explain	VB
20165	100	4	the	the	DT
20165	100	5	theory	theory	NN
20165	100	6	of	of	IN
20165	100	7	perspective	perspective	NN
20165	100	8	by	by	IN
20165	100	9	ocular	ocular	JJ
20165	100	10	demonstration	demonstration	NN
20165	100	11	,	,	,
20165	100	12	using	use	VBG
20165	100	13	a	a	DT
20165	100	14	vertical	vertical	JJ
20165	100	15	sheet	sheet	NN
20165	100	16	of	of	IN
20165	100	17	glass	glass	NN
20165	100	18	with	with	IN
20165	100	19	strings	string	NNS
20165	100	20	,	,	,
20165	100	21	placed	place	VBN
20165	100	22	on	on	IN
20165	100	23	a	a	DT
20165	100	24	drawing	drawing	NN
20165	100	25	-	-	HYPH
20165	100	26	board	board	NN
20165	100	27	,	,	,
20165	100	28	which	which	WDT
20165	100	29	I	-PRON-	PRP
20165	100	30	have	have	VBP
20165	100	31	found	find	VBN
20165	100	32	of	of	IN
20165	100	33	the	the	DT
20165	100	34	greatest	great	JJS
20165	100	35	use	use	NN
20165	100	36	(	(	-LRB-
20165	100	37	see	see	VB
20165	100	38	p.	p.	NN
20165	100	39	29	29	CD
20165	100	40	,	,	,
20165	100	41	Fig	Fig	NNP
20165	100	42	.	.	.
20165	101	1	29	29	CD
20165	101	2	)	)	-RRB-
20165	101	3	.	.	.
20165	102	1	Then	then	RB
20165	102	2	again	again	RB
20165	102	3	,	,	,
20165	102	4	I	-PRON-	PRP
20165	102	5	show	show	VBP
20165	102	6	how	how	WRB
20165	102	7	all	all	PDT
20165	102	8	our	-PRON-	PRP$
20165	102	9	perspective	perspective	NN
20165	102	10	can	can	MD
20165	102	11	be	be	VB
20165	102	12	done	do	VBN
20165	102	13	inside	inside	IN
20165	102	14	the	the	DT
20165	102	15	picture	picture	NN
20165	102	16	;	;	:
20165	102	17	that	that	IN
20165	102	18	we	-PRON-	PRP
20165	102	19	can	can	MD
20165	102	20	measure	measure	VB
20165	102	21	any	any	DT
20165	102	22	distance	distance	NN
20165	102	23	into	into	IN
20165	102	24	the	the	DT
20165	102	25	picture	picture	NN
20165	102	26	from	from	IN
20165	102	27	a	a	DT
20165	102	28	foot	foot	NN
20165	102	29	to	to	IN
20165	102	30	a	a	DT
20165	102	31	mile	mile	NN
20165	102	32	or	or	CC
20165	102	33	twenty	twenty	CD
20165	102	34	miles	mile	NNS
20165	102	35	(	(	-LRB-
20165	102	36	see	see	VB
20165	102	37	p.	p.	NN
20165	102	38	86	86	CD
20165	102	39	,	,	,
20165	102	40	Fig	Fig	NNP
20165	102	41	.	.	.
20165	103	1	94	94	CD
20165	103	2	)	)	-RRB-
20165	103	3	;	;	:
20165	103	4	how	how	WRB
20165	103	5	we	-PRON-	PRP
20165	103	6	can	can	MD
20165	103	7	draw	draw	VB
20165	103	8	the	the	DT
20165	103	9	Great	Great	NNP
20165	103	10	Pyramid	Pyramid	NNP
20165	103	11	,	,	,
20165	103	12	which	which	WDT
20165	103	13	stands	stand	VBZ
20165	103	14	on	on	IN
20165	103	15	thirteen	thirteen	CD
20165	103	16	acres	acre	NNS
20165	103	17	of	of	IN
20165	103	18	ground	ground	NN
20165	103	19	,	,	,
20165	103	20	by	by	IN
20165	103	21	putting	put	VBG
20165	103	22	it	-PRON-	PRP
20165	103	23	1,600	1,600	CD
20165	103	24	feet	foot	NNS
20165	103	25	off	off	RP
20165	103	26	(	(	-LRB-
20165	103	27	Fig	fig	NN
20165	103	28	.	.	.
20165	104	1	224	224	CD
20165	104	2	)	)	-RRB-
20165	104	3	,	,	,
20165	104	4	&	&	CC
20165	104	5	c.	c.	NNP
20165	104	6	,	,	,
20165	104	7	&	&	CC
20165	104	8	c.	c.	NNP
20165	104	9	And	and	CC
20165	104	10	while	while	IN
20165	104	11	preserving	preserve	VBG
20165	104	12	the	the	DT
20165	104	13	mathematical	mathematical	JJ
20165	104	14	science	science	NN
20165	104	15	,	,	,
20165	104	16	so	so	IN
20165	104	17	that	that	IN
20165	104	18	all	all	PDT
20165	104	19	our	-PRON-	PRP$
20165	104	20	operations	operation	NNS
20165	104	21	can	can	MD
20165	104	22	be	be	VB
20165	104	23	proved	prove	VBN
20165	104	24	to	to	TO
20165	104	25	be	be	VB
20165	104	26	correct	correct	JJ
20165	104	27	,	,	,
20165	104	28	my	-PRON-	PRP$
20165	104	29	chief	chief	JJ
20165	104	30	aim	aim	NN
20165	104	31	has	have	VBZ
20165	104	32	been	be	VBN
20165	104	33	to	to	TO
20165	104	34	make	make	VB
20165	104	35	it	-PRON-	PRP
20165	104	36	easy	easy	JJ
20165	104	37	of	of	IN
20165	104	38	application	application	NN
20165	104	39	to	to	IN
20165	104	40	our	-PRON-	PRP$
20165	104	41	work	work	NN
20165	104	42	and	and	CC
20165	104	43	consequently	consequently	RB
20165	104	44	useful	useful	JJ
20165	104	45	to	to	IN
20165	104	46	the	the	DT
20165	104	47	artist	artist	NN
20165	104	48	.	.	.
20165	105	1	[	[	-LRB-
20165	105	2	Footnote	footnote	NN
20165	105	3	2	2	CD
20165	105	4	:	:	:
20165	105	5	There	there	EX
20165	105	6	is	be	VBZ
20165	105	7	another	another	DT
20165	105	8	book	book	NN
20165	105	9	called	call	VBN
20165	105	10	_	_	NNP
20165	105	11	The	the	DT
20165	105	12	Jesuit	Jesuit	NNP
20165	105	13	's	's	POS
20165	105	14	Perspective	Perspective	NNP
20165	105	15	_	_	NNP
20165	105	16	which	which	WDT
20165	105	17	I	-PRON-	PRP
20165	105	18	have	have	VBP
20165	105	19	not	not	RB
20165	105	20	yet	yet	RB
20165	105	21	seen	see	VBN
20165	105	22	,	,	,
20165	105	23	but	but	CC
20165	105	24	which	which	WDT
20165	105	25	I	-PRON-	PRP
20165	105	26	hear	hear	VBP
20165	105	27	is	be	VBZ
20165	105	28	a	a	DT
20165	105	29	fine	fine	JJ
20165	105	30	work	work	NN
20165	105	31	.	.	.
20165	105	32	]	]	-RRB-
20165	106	1	The	the	DT
20165	106	2	Egyptians	Egyptians	NNPS
20165	106	3	do	do	VBP
20165	106	4	not	not	RB
20165	106	5	appear	appear	VB
20165	106	6	to	to	TO
20165	106	7	have	have	VB
20165	106	8	made	make	VBN
20165	106	9	any	any	DT
20165	106	10	use	use	NN
20165	106	11	of	of	IN
20165	106	12	linear	linear	JJ
20165	106	13	perspective	perspective	NN
20165	106	14	.	.	.
20165	107	1	Perhaps	perhaps	RB
20165	107	2	it	-PRON-	PRP
20165	107	3	was	be	VBD
20165	107	4	considered	consider	VBN
20165	107	5	out	out	IN
20165	107	6	of	of	IN
20165	107	7	character	character	NN
20165	107	8	with	with	IN
20165	107	9	their	-PRON-	PRP$
20165	107	10	particular	particular	JJ
20165	107	11	kind	kind	NN
20165	107	12	of	of	IN
20165	107	13	decoration	decoration	NN
20165	107	14	,	,	,
20165	107	15	which	which	WDT
20165	107	16	is	be	VBZ
20165	107	17	to	to	TO
20165	107	18	be	be	VB
20165	107	19	looked	look	VBN
20165	107	20	upon	upon	IN
20165	107	21	as	as	IN
20165	107	22	picture	picture	NN
20165	107	23	writing	writing	NN
20165	107	24	rather	rather	RB
20165	107	25	than	than	IN
20165	107	26	pictorial	pictorial	JJ
20165	107	27	art	art	NN
20165	107	28	;	;	:
20165	107	29	a	a	DT
20165	107	30	table	table	NN
20165	107	31	,	,	,
20165	107	32	for	for	IN
20165	107	33	instance	instance	NN
20165	107	34	,	,	,
20165	107	35	would	would	MD
20165	107	36	be	be	VB
20165	107	37	represented	represent	VBN
20165	107	38	like	like	IN
20165	107	39	a	a	DT
20165	107	40	ground	ground	NN
20165	107	41	-	-	HYPH
20165	107	42	plan	plan	NN
20165	107	43	and	and	CC
20165	107	44	the	the	DT
20165	107	45	objects	object	NNS
20165	107	46	upon	upon	IN
20165	107	47	it	-PRON-	PRP
20165	107	48	in	in	IN
20165	107	49	elevation	elevation	NN
20165	107	50	or	or	CC
20165	107	51	standing	stand	VBG
20165	107	52	up	up	RP
20165	107	53	.	.	.
20165	108	1	A	a	DT
20165	108	2	row	row	NN
20165	108	3	of	of	IN
20165	108	4	chariots	chariot	NNS
20165	108	5	with	with	IN
20165	108	6	their	-PRON-	PRP$
20165	108	7	horses	horse	NNS
20165	108	8	and	and	CC
20165	108	9	drivers	driver	NNS
20165	108	10	side	side	VBP
20165	108	11	by	by	IN
20165	108	12	side	side	NN
20165	108	13	were	be	VBD
20165	108	14	placed	place	VBN
20165	108	15	one	one	CD
20165	108	16	over	over	IN
20165	108	17	the	the	DT
20165	108	18	other	other	JJ
20165	108	19	,	,	,
20165	108	20	and	and	CC
20165	108	21	although	although	IN
20165	108	22	the	the	DT
20165	108	23	Egyptians	Egyptians	NNPS
20165	108	24	had	have	VBD
20165	108	25	no	no	DT
20165	108	26	doubt	doubt	NN
20165	108	27	a	a	DT
20165	108	28	reason	reason	NN
20165	108	29	for	for	IN
20165	108	30	this	this	DT
20165	108	31	kind	kind	NN
20165	108	32	of	of	IN
20165	108	33	representation	representation	NN
20165	108	34	,	,	,
20165	108	35	for	for	IN
20165	108	36	they	-PRON-	PRP
20165	108	37	were	be	VBD
20165	108	38	grand	grand	JJ
20165	108	39	artists	artist	NNS
20165	108	40	,	,	,
20165	108	41	it	-PRON-	PRP
20165	108	42	seems	seem	VBZ
20165	108	43	to	to	IN
20165	108	44	us	-PRON-	PRP
20165	108	45	very	very	RB
20165	108	46	primitive	primitive	JJ
20165	108	47	;	;	:
20165	108	48	and	and	CC
20165	108	49	indeed	indeed	RB
20165	108	50	quite	quite	RB
20165	108	51	young	young	JJ
20165	108	52	beginners	beginner	NNS
20165	108	53	who	who	WP
20165	108	54	have	have	VBP
20165	108	55	never	never	RB
20165	108	56	drawn	draw	VBN
20165	108	57	from	from	IN
20165	108	58	real	real	JJ
20165	108	59	objects	object	NNS
20165	108	60	have	have	VBP
20165	108	61	a	a	DT
20165	108	62	tendency	tendency	NN
20165	108	63	to	to	TO
20165	108	64	do	do	VB
20165	108	65	very	very	RB
20165	108	66	much	much	RB
20165	108	67	the	the	DT
20165	108	68	same	same	JJ
20165	108	69	thing	thing	NN
20165	108	70	as	as	IN
20165	108	71	this	this	DT
20165	108	72	ancient	ancient	JJ
20165	108	73	people	people	NNS
20165	108	74	did	do	VBD
20165	108	75	,	,	,
20165	108	76	or	or	CC
20165	108	77	even	even	RB
20165	108	78	to	to	TO
20165	108	79	emulate	emulate	VB
20165	108	80	the	the	DT
20165	108	81	mathematician	mathematician	NN
20165	108	82	and	and	CC
20165	108	83	represent	represent	VB
20165	108	84	things	thing	NNS
20165	108	85	not	not	RB
20165	108	86	as	as	IN
20165	108	87	they	-PRON-	PRP
20165	108	88	appear	appear	VBP
20165	108	89	but	but	CC
20165	108	90	as	as	IN
20165	108	91	they	-PRON-	PRP
20165	108	92	are	be	VBP
20165	108	93	,	,	,
20165	108	94	and	and	CC
20165	108	95	will	will	MD
20165	108	96	make	make	VB
20165	108	97	the	the	DT
20165	108	98	top	top	NN
20165	108	99	of	of	IN
20165	108	100	a	a	DT
20165	108	101	table	table	NN
20165	108	102	an	an	DT
20165	108	103	almost	almost	RB
20165	108	104	upright	upright	JJ
20165	108	105	square	square	NN
20165	108	106	and	and	CC
20165	108	107	the	the	DT
20165	108	108	objects	object	NNS
20165	108	109	upon	upon	IN
20165	108	110	it	-PRON-	PRP
20165	108	111	as	as	IN
20165	108	112	if	if	IN
20165	108	113	they	-PRON-	PRP
20165	108	114	would	would	MD
20165	108	115	fall	fall	VB
20165	108	116	off	off	RP
20165	108	117	.	.	.
20165	109	1	No	no	RB
20165	109	2	doubt	doubt	RB
20165	109	3	the	the	DT
20165	109	4	Greeks	Greeks	NNPS
20165	109	5	had	have	VBD
20165	109	6	correct	correct	JJ
20165	109	7	notions	notion	NNS
20165	109	8	of	of	IN
20165	109	9	perspective	perspective	NN
20165	109	10	,	,	,
20165	109	11	for	for	IN
20165	109	12	the	the	DT
20165	109	13	paintings	painting	NNS
20165	109	14	on	on	IN
20165	109	15	vases	vase	NNS
20165	109	16	,	,	,
20165	109	17	and	and	CC
20165	109	18	at	at	IN
20165	109	19	Pompeii	Pompeii	NNP
20165	109	20	and	and	CC
20165	109	21	Herculaneum	Herculaneum	NNP
20165	109	22	,	,	,
20165	109	23	which	which	WDT
20165	109	24	were	be	VBD
20165	109	25	either	either	CC
20165	109	26	by	by	IN
20165	109	27	Greek	greek	JJ
20165	109	28	artists	artist	NNS
20165	109	29	or	or	CC
20165	109	30	copied	copy	VBN
20165	109	31	from	from	IN
20165	109	32	Greek	greek	JJ
20165	109	33	pictures	picture	NNS
20165	109	34	,	,	,
20165	109	35	show	show	VBP
20165	109	36	some	some	DT
20165	109	37	knowledge	knowledge	NN
20165	109	38	,	,	,
20165	109	39	though	though	IN
20165	109	40	not	not	RB
20165	109	41	complete	complete	JJ
20165	109	42	knowledge	knowledge	NN
20165	109	43	,	,	,
20165	109	44	of	of	IN
20165	109	45	this	this	DT
20165	109	46	science	science	NN
20165	109	47	.	.	.
20165	110	1	Indeed	indeed	RB
20165	110	2	,	,	,
20165	110	3	it	-PRON-	PRP
20165	110	4	is	be	VBZ
20165	110	5	difficult	difficult	JJ
20165	110	6	to	to	TO
20165	110	7	conceive	conceive	VB
20165	110	8	of	of	IN
20165	110	9	any	any	DT
20165	110	10	great	great	JJ
20165	110	11	artist	artist	NN
20165	110	12	making	make	VBG
20165	110	13	his	-PRON-	PRP$
20165	110	14	perspective	perspective	NN
20165	110	15	very	very	RB
20165	110	16	wrong	wrong	JJ
20165	110	17	,	,	,
20165	110	18	for	for	IN
20165	110	19	if	if	IN
20165	110	20	he	-PRON-	PRP
20165	110	21	can	can	MD
20165	110	22	draw	draw	VB
20165	110	23	the	the	DT
20165	110	24	human	human	JJ
20165	110	25	figure	figure	NN
20165	110	26	as	as	IN
20165	110	27	the	the	DT
20165	110	28	Greeks	Greeks	NNPS
20165	110	29	did	do	VBD
20165	110	30	,	,	,
20165	110	31	surely	surely	RB
20165	110	32	he	-PRON-	PRP
20165	110	33	can	can	MD
20165	110	34	draw	draw	VB
20165	110	35	an	an	DT
20165	110	36	angle	angle	NN
20165	110	37	.	.	.
20165	111	1	The	the	DT
20165	111	2	Japanese	Japanese	NNPS
20165	111	3	,	,	,
20165	111	4	who	who	WP
20165	111	5	are	be	VBP
20165	111	6	great	great	JJ
20165	111	7	observers	observer	NNS
20165	111	8	of	of	IN
20165	111	9	nature	nature	NN
20165	111	10	,	,	,
20165	111	11	seem	seem	VBP
20165	111	12	to	to	TO
20165	111	13	have	have	VB
20165	111	14	got	get	VBN
20165	111	15	at	at	IN
20165	111	16	their	-PRON-	PRP$
20165	111	17	perspective	perspective	NN
20165	111	18	by	by	IN
20165	111	19	copying	copy	VBG
20165	111	20	what	what	WP
20165	111	21	they	-PRON-	PRP
20165	111	22	saw	see	VBD
20165	111	23	,	,	,
20165	111	24	and	and	CC
20165	111	25	,	,	,
20165	111	26	although	although	IN
20165	111	27	they	-PRON-	PRP
20165	111	28	are	be	VBP
20165	111	29	not	not	RB
20165	111	30	quite	quite	RB
20165	111	31	correct	correct	JJ
20165	111	32	in	in	IN
20165	111	33	a	a	DT
20165	111	34	few	few	JJ
20165	111	35	things	thing	NNS
20165	111	36	,	,	,
20165	111	37	they	-PRON-	PRP
20165	111	38	convey	convey	VBP
20165	111	39	the	the	DT
20165	111	40	idea	idea	NN
20165	111	41	of	of	IN
20165	111	42	distance	distance	NN
20165	111	43	and	and	CC
20165	111	44	make	make	VB
20165	111	45	their	-PRON-	PRP$
20165	111	46	horizontal	horizontal	JJ
20165	111	47	planes	plane	NNS
20165	111	48	look	look	VBP
20165	111	49	level	level	NN
20165	111	50	,	,	,
20165	111	51	which	which	WDT
20165	111	52	are	be	VBP
20165	111	53	two	two	CD
20165	111	54	important	important	JJ
20165	111	55	things	thing	NNS
20165	111	56	in	in	IN
20165	111	57	perspective	perspective	NN
20165	111	58	.	.	.
20165	112	1	Some	some	DT
20165	112	2	of	of	IN
20165	112	3	their	-PRON-	PRP$
20165	112	4	landscapes	landscape	NNS
20165	112	5	are	be	VBP
20165	112	6	beautiful	beautiful	JJ
20165	112	7	;	;	:
20165	112	8	their	-PRON-	PRP$
20165	112	9	trees	tree	NNS
20165	112	10	,	,	,
20165	112	11	flowers	flower	NNS
20165	112	12	,	,	,
20165	112	13	and	and	CC
20165	112	14	foliage	foliage	VB
20165	112	15	exquisitely	exquisitely	RB
20165	112	16	drawn	draw	VBN
20165	112	17	and	and	CC
20165	112	18	arranged	arrange	VBN
20165	112	19	with	with	IN
20165	112	20	the	the	DT
20165	112	21	greatest	great	JJS
20165	112	22	taste	taste	NN
20165	112	23	;	;	:
20165	112	24	whilst	whilst	IN
20165	112	25	there	there	EX
20165	112	26	is	be	VBZ
20165	112	27	a	a	DT
20165	112	28	character	character	NN
20165	112	29	and	and	CC
20165	112	30	go	go	VB
20165	112	31	about	about	IN
20165	112	32	their	-PRON-	PRP$
20165	112	33	figures	figure	NNS
20165	112	34	and	and	CC
20165	112	35	birds	bird	NNS
20165	112	36	,	,	,
20165	112	37	&	&	CC
20165	112	38	c.	c.	NNP
20165	112	39	,	,	,
20165	112	40	that	that	WDT
20165	112	41	can	can	MD
20165	112	42	hardly	hardly	RB
20165	112	43	be	be	VB
20165	112	44	surpassed	surpass	VBN
20165	112	45	.	.	.
20165	113	1	All	all	DT
20165	113	2	their	-PRON-	PRP$
20165	113	3	pictures	picture	NNS
20165	113	4	are	be	VBP
20165	113	5	lively	lively	JJ
20165	113	6	and	and	CC
20165	113	7	intelligent	intelligent	JJ
20165	113	8	and	and	CC
20165	113	9	appear	appear	VB
20165	113	10	to	to	TO
20165	113	11	be	be	VB
20165	113	12	executed	execute	VBN
20165	113	13	with	with	IN
20165	113	14	ease	ease	NN
20165	113	15	,	,	,
20165	113	16	which	which	WDT
20165	113	17	shows	show	VBZ
20165	113	18	their	-PRON-	PRP$
20165	113	19	authors	author	NNS
20165	113	20	to	to	TO
20165	113	21	be	be	VB
20165	113	22	complete	complete	JJ
20165	113	23	masters	master	NNS
20165	113	24	of	of	IN
20165	113	25	their	-PRON-	PRP$
20165	113	26	craft	craft	NN
20165	113	27	.	.	.
20165	114	1	The	the	DT
20165	114	2	same	same	JJ
20165	114	3	may	may	MD
20165	114	4	be	be	VB
20165	114	5	said	say	VBN
20165	114	6	of	of	IN
20165	114	7	the	the	DT
20165	114	8	Chinese	Chinese	NNPS
20165	114	9	,	,	,
20165	114	10	although	although	IN
20165	114	11	their	-PRON-	PRP$
20165	114	12	perspective	perspective	NN
20165	114	13	is	be	VBZ
20165	114	14	more	more	RBR
20165	114	15	decorative	decorative	JJ
20165	114	16	than	than	IN
20165	114	17	true	true	JJ
20165	114	18	,	,	,
20165	114	19	and	and	CC
20165	114	20	whilst	whilst	IN
20165	114	21	their	-PRON-	PRP$
20165	114	22	taste	taste	NN
20165	114	23	is	be	VBZ
20165	114	24	exquisite	exquisite	JJ
20165	114	25	their	-PRON-	PRP$
20165	114	26	whole	whole	JJ
20165	114	27	art	art	NN
20165	114	28	is	be	VBZ
20165	114	29	much	much	RB
20165	114	30	more	more	RBR
20165	114	31	conventional	conventional	JJ
20165	114	32	and	and	CC
20165	114	33	traditional	traditional	JJ
20165	114	34	,	,	,
20165	114	35	and	and	CC
20165	114	36	does	do	VBZ
20165	114	37	not	not	RB
20165	114	38	remind	remind	VB
20165	114	39	us	-PRON-	PRP
20165	114	40	of	of	IN
20165	114	41	nature	nature	NN
20165	114	42	like	like	IN
20165	114	43	that	that	DT
20165	114	44	of	of	IN
20165	114	45	the	the	DT
20165	114	46	Japanese	Japanese	NNPS
20165	114	47	.	.	.
20165	115	1	We	-PRON-	PRP
20165	115	2	may	may	MD
20165	115	3	see	see	VB
20165	115	4	defects	defect	NNS
20165	115	5	in	in	IN
20165	115	6	the	the	DT
20165	115	7	perspective	perspective	NN
20165	115	8	of	of	IN
20165	115	9	the	the	DT
20165	115	10	ancients	ancient	NNS
20165	115	11	,	,	,
20165	115	12	in	in	IN
20165	115	13	the	the	DT
20165	115	14	mediaeval	mediaeval	JJ
20165	115	15	painters	painter	NNS
20165	115	16	,	,	,
20165	115	17	in	in	IN
20165	115	18	the	the	DT
20165	115	19	Japanese	japanese	JJ
20165	115	20	and	and	CC
20165	115	21	Chinese	Chinese	NNPS
20165	115	22	,	,	,
20165	115	23	but	but	CC
20165	115	24	are	be	VBP
20165	115	25	we	-PRON-	PRP
20165	115	26	always	always	RB
20165	115	27	right	right	VBP
20165	115	28	ourselves	-PRON-	PRP
20165	115	29	?	?	.
20165	116	1	Even	even	RB
20165	116	2	in	in	IN
20165	116	3	celebrated	celebrated	JJ
20165	116	4	pictures	picture	NNS
20165	116	5	by	by	IN
20165	116	6	old	old	JJ
20165	116	7	and	and	CC
20165	116	8	modern	modern	JJ
20165	116	9	masters	master	NNS
20165	116	10	there	there	EX
20165	116	11	are	be	VBP
20165	116	12	occasionally	occasionally	RB
20165	116	13	errors	error	NNS
20165	116	14	that	that	WDT
20165	116	15	might	may	MD
20165	116	16	easily	easily	RB
20165	116	17	have	have	VB
20165	116	18	been	be	VBN
20165	116	19	avoided	avoid	VBN
20165	116	20	,	,	,
20165	116	21	if	if	IN
20165	116	22	a	a	DT
20165	116	23	ready	ready	JJ
20165	116	24	means	mean	NNS
20165	116	25	of	of	IN
20165	116	26	settling	settle	VBG
20165	116	27	the	the	DT
20165	116	28	difficulty	difficulty	NN
20165	116	29	were	be	VBD
20165	116	30	at	at	IN
20165	116	31	hand	hand	NN
20165	116	32	.	.	.
20165	117	1	We	-PRON-	PRP
20165	117	2	should	should	MD
20165	117	3	endeavour	endeavour	VB
20165	117	4	then	then	RB
20165	117	5	to	to	TO
20165	117	6	make	make	VB
20165	117	7	this	this	DT
20165	117	8	study	study	NN
20165	117	9	as	as	IN
20165	117	10	simple	simple	JJ
20165	117	11	,	,	,
20165	117	12	as	as	IN
20165	117	13	easy	easy	JJ
20165	117	14	,	,	,
20165	117	15	and	and	CC
20165	117	16	as	as	RB
20165	117	17	complete	complete	JJ
20165	117	18	as	as	IN
20165	117	19	possible	possible	JJ
20165	117	20	,	,	,
20165	117	21	to	to	TO
20165	117	22	show	show	VB
20165	117	23	clear	clear	JJ
20165	117	24	evidence	evidence	NN
20165	117	25	of	of	IN
20165	117	26	its	-PRON-	PRP$
20165	117	27	correctness	correctness	NN
20165	117	28	(	(	-LRB-
20165	117	29	according	accord	VBG
20165	117	30	to	to	IN
20165	117	31	its	-PRON-	PRP$
20165	117	32	conditions	condition	NNS
20165	117	33	)	)	-RRB-
20165	117	34	,	,	,
20165	117	35	and	and	CC
20165	117	36	at	at	IN
20165	117	37	the	the	DT
20165	117	38	same	same	JJ
20165	117	39	time	time	NN
20165	117	40	to	to	TO
20165	117	41	serve	serve	VB
20165	117	42	as	as	IN
20165	117	43	a	a	DT
20165	117	44	guide	guide	NN
20165	117	45	on	on	IN
20165	117	46	any	any	DT
20165	117	47	and	and	CC
20165	117	48	all	all	DT
20165	117	49	occasions	occasion	NNS
20165	117	50	that	that	IN
20165	117	51	we	-PRON-	PRP
20165	117	52	may	may	MD
20165	117	53	require	require	VB
20165	117	54	it	-PRON-	PRP
20165	117	55	.	.	.
20165	118	1	To	to	TO
20165	118	2	illustrate	illustrate	VB
20165	118	3	what	what	WP
20165	118	4	is	be	VBZ
20165	118	5	perspective	perspective	NN
20165	118	6	,	,	,
20165	118	7	and	and	CC
20165	118	8	as	as	IN
20165	118	9	an	an	DT
20165	118	10	experiment	experiment	NN
20165	118	11	that	that	IN
20165	118	12	any	any	DT
20165	118	13	one	one	NN
20165	118	14	can	can	MD
20165	118	15	make	make	VB
20165	118	16	,	,	,
20165	118	17	whether	whether	IN
20165	118	18	artist	artist	NN
20165	118	19	or	or	CC
20165	118	20	not	not	RB
20165	118	21	,	,	,
20165	118	22	let	let	VB
20165	118	23	us	-PRON-	PRP
20165	118	24	stand	stand	VB
20165	118	25	at	at	IN
20165	118	26	a	a	DT
20165	118	27	window	window	NN
20165	118	28	that	that	WDT
20165	118	29	looks	look	VBZ
20165	118	30	out	out	RP
20165	118	31	on	on	IN
20165	118	32	to	to	IN
20165	118	33	a	a	DT
20165	118	34	courtyard	courtyard	NN
20165	118	35	or	or	CC
20165	118	36	a	a	DT
20165	118	37	street	street	NN
20165	118	38	or	or	CC
20165	118	39	a	a	DT
20165	118	40	garden	garden	NN
20165	118	41	,	,	,
20165	118	42	&	&	CC
20165	118	43	c.	c.	NNP
20165	118	44	,	,	,
20165	118	45	and	and	CC
20165	118	46	trace	trace	NN
20165	118	47	with	with	IN
20165	118	48	a	a	DT
20165	118	49	paint	paint	NN
20165	118	50	-	-	HYPH
20165	118	51	brush	brush	NN
20165	118	52	charged	charge	VBN
20165	118	53	with	with	IN
20165	118	54	Indian	indian	JJ
20165	118	55	ink	ink	NN
20165	118	56	or	or	CC
20165	118	57	water	water	NN
20165	118	58	-	-	HYPH
20165	118	59	colour	colour	VB
20165	118	60	the	the	DT
20165	118	61	outline	outline	NN
20165	118	62	of	of	IN
20165	118	63	whatever	whatever	WDT
20165	118	64	view	view	NN
20165	118	65	there	there	EX
20165	118	66	happens	happen	VBZ
20165	118	67	to	to	TO
20165	118	68	be	be	VB
20165	118	69	outside	outside	RB
20165	118	70	,	,	,
20165	118	71	being	be	VBG
20165	118	72	careful	careful	JJ
20165	118	73	to	to	TO
20165	118	74	keep	keep	VB
20165	118	75	the	the	DT
20165	118	76	eye	eye	NN
20165	118	77	always	always	RB
20165	118	78	in	in	IN
20165	118	79	the	the	DT
20165	118	80	same	same	JJ
20165	118	81	place	place	NN
20165	118	82	by	by	IN
20165	118	83	means	mean	NNS
20165	118	84	of	of	IN
20165	118	85	a	a	DT
20165	118	86	rest	rest	NN
20165	118	87	;	;	:
20165	118	88	when	when	WRB
20165	118	89	this	this	DT
20165	118	90	is	be	VBZ
20165	118	91	dry	dry	JJ
20165	118	92	,	,	,
20165	118	93	place	place	VB
20165	118	94	a	a	DT
20165	118	95	piece	piece	NN
20165	118	96	of	of	IN
20165	118	97	drawing	draw	VBG
20165	118	98	-	-	HYPH
20165	118	99	paper	paper	NN
20165	118	100	over	over	IN
20165	118	101	it	-PRON-	PRP
20165	118	102	and	and	CC
20165	118	103	trace	trace	NN
20165	118	104	through	through	IN
20165	118	105	with	with	IN
20165	118	106	a	a	DT
20165	118	107	pencil	pencil	NN
20165	118	108	.	.	.
20165	119	1	Now	now	RB
20165	119	2	we	-PRON-	PRP
20165	119	3	will	will	MD
20165	119	4	rub	rub	VB
20165	119	5	out	out	RP
20165	119	6	the	the	DT
20165	119	7	tracing	tracing	NN
20165	119	8	on	on	IN
20165	119	9	the	the	DT
20165	119	10	glass	glass	NN
20165	119	11	,	,	,
20165	119	12	which	which	WDT
20165	119	13	is	be	VBZ
20165	119	14	sure	sure	JJ
20165	119	15	to	to	TO
20165	119	16	be	be	VB
20165	119	17	rather	rather	RB
20165	119	18	clumsy	clumsy	JJ
20165	119	19	,	,	,
20165	119	20	and	and	CC
20165	119	21	,	,	,
20165	119	22	fixing	fix	VBG
20165	119	23	our	-PRON-	PRP$
20165	119	24	paper	paper	NN
20165	119	25	down	down	RP
20165	119	26	on	on	IN
20165	119	27	a	a	DT
20165	119	28	board	board	NN
20165	119	29	,	,	,
20165	119	30	proceed	proceed	VB
20165	119	31	to	to	TO
20165	119	32	draw	draw	VB
20165	119	33	the	the	DT
20165	119	34	scene	scene	NN
20165	119	35	before	before	IN
20165	119	36	us	-PRON-	PRP
20165	119	37	,	,	,
20165	119	38	using	use	VBG
20165	119	39	the	the	DT
20165	119	40	main	main	JJ
20165	119	41	lines	line	NNS
20165	119	42	of	of	IN
20165	119	43	our	-PRON-	PRP$
20165	119	44	tracing	tracing	NN
20165	119	45	as	as	IN
20165	119	46	our	-PRON-	PRP$
20165	119	47	guiding	guide	VBG
20165	119	48	lines	line	NNS
20165	119	49	.	.	.
20165	120	1	If	if	IN
20165	120	2	we	-PRON-	PRP
20165	120	3	take	take	VBP
20165	120	4	pains	pain	NNS
20165	120	5	over	over	IN
20165	120	6	our	-PRON-	PRP$
20165	120	7	work	work	NN
20165	120	8	,	,	,
20165	120	9	we	-PRON-	PRP
20165	120	10	shall	shall	MD
20165	120	11	find	find	VB
20165	120	12	that	that	IN
20165	120	13	,	,	,
20165	120	14	without	without	IN
20165	120	15	troubling	trouble	VBG
20165	120	16	ourselves	-PRON-	PRP
20165	120	17	much	much	JJ
20165	120	18	about	about	IN
20165	120	19	rules	rule	NNS
20165	120	20	,	,	,
20165	120	21	we	-PRON-	PRP
20165	120	22	have	have	VBP
20165	120	23	produced	produce	VBN
20165	120	24	a	a	DT
20165	120	25	perfect	perfect	JJ
20165	120	26	perspective	perspective	NN
20165	120	27	of	of	IN
20165	120	28	perhaps	perhaps	RB
20165	120	29	a	a	DT
20165	120	30	very	very	RB
20165	120	31	difficult	difficult	JJ
20165	120	32	subject	subject	NN
20165	120	33	.	.	.
20165	121	1	After	after	IN
20165	121	2	practising	practise	VBG
20165	121	3	for	for	IN
20165	121	4	some	some	DT
20165	121	5	little	little	JJ
20165	121	6	time	time	NN
20165	121	7	in	in	IN
20165	121	8	this	this	DT
20165	121	9	way	way	NN
20165	121	10	we	-PRON-	PRP
20165	121	11	shall	shall	MD
20165	121	12	get	get	VB
20165	121	13	accustomed	accustomed	JJ
20165	121	14	to	to	IN
20165	121	15	what	what	WP
20165	121	16	are	be	VBP
20165	121	17	called	call	VBN
20165	121	18	perspective	perspective	NN
20165	121	19	deformations	deformation	NNS
20165	121	20	,	,	,
20165	121	21	and	and	CC
20165	121	22	soon	soon	RB
20165	121	23	be	be	VB
20165	121	24	able	able	JJ
20165	121	25	to	to	TO
20165	121	26	dispense	dispense	VB
20165	121	27	with	with	IN
20165	121	28	the	the	DT
20165	121	29	glass	glass	NN
20165	121	30	and	and	CC
20165	121	31	the	the	DT
20165	121	32	tracing	tracing	NN
20165	121	33	altogether	altogether	RB
20165	121	34	and	and	CC
20165	121	35	to	to	TO
20165	121	36	sketch	sketch	VB
20165	121	37	straight	straight	RB
20165	121	38	from	from	IN
20165	121	39	nature	nature	NN
20165	121	40	,	,	,
20165	121	41	taking	take	VBG
20165	121	42	little	little	JJ
20165	121	43	note	note	NN
20165	121	44	of	of	IN
20165	121	45	perspective	perspective	NN
20165	121	46	beyond	beyond	IN
20165	121	47	fixing	fix	VBG
20165	121	48	the	the	DT
20165	121	49	point	point	NN
20165	121	50	of	of	IN
20165	121	51	sight	sight	NN
20165	121	52	and	and	CC
20165	121	53	the	the	DT
20165	121	54	horizontal	horizontal	JJ
20165	121	55	-	-	HYPH
20165	121	56	line	line	NN
20165	121	57	;	;	:
20165	121	58	in	in	IN
20165	121	59	fact	fact	NN
20165	121	60	,	,	,
20165	121	61	doing	do	VBG
20165	121	62	what	what	WP
20165	121	63	every	every	DT
20165	121	64	artist	artist	NN
20165	121	65	does	do	VBZ
20165	121	66	when	when	WRB
20165	121	67	he	-PRON-	PRP
20165	121	68	goes	go	VBZ
20165	121	69	out	out	RP
20165	121	70	sketching	sketch	VBG
20165	121	71	.	.	.
20165	122	1	[	[	-LRB-
20165	122	2	Illustration	illustration	NN
20165	122	3	:	:	:
20165	122	4	Fig	Fig	NNP
20165	122	5	.	.	.
20165	123	1	6	6	CD
20165	123	2	.	.	.
20165	124	1	This	this	DT
20165	124	2	is	be	VBZ
20165	124	3	a	a	DT
20165	124	4	much	much	RB
20165	124	5	reduced	reduce	VBN
20165	124	6	reproduction	reproduction	NN
20165	124	7	of	of	IN
20165	124	8	a	a	DT
20165	124	9	drawing	drawing	NN
20165	124	10	made	make	VBN
20165	124	11	on	on	IN
20165	124	12	my	-PRON-	PRP$
20165	124	13	studio	studio	NN
20165	124	14	window	window	NN
20165	124	15	in	in	IN
20165	124	16	this	this	DT
20165	124	17	way	way	NN
20165	124	18	some	some	DT
20165	124	19	twenty	twenty	CD
20165	124	20	years	year	NNS
20165	124	21	ago	ago	RB
20165	124	22	,	,	,
20165	124	23	when	when	WRB
20165	124	24	the	the	DT
20165	124	25	builder	builder	NN
20165	124	26	started	start	VBD
20165	124	27	covering	cover	VBG
20165	124	28	the	the	DT
20165	124	29	fields	field	NNS
20165	124	30	at	at	IN
20165	124	31	the	the	DT
20165	124	32	back	back	NN
20165	124	33	with	with	IN
20165	124	34	rows	row	NNS
20165	124	35	and	and	CC
20165	124	36	rows	row	NNS
20165	124	37	of	of	IN
20165	124	38	houses	house	NNS
20165	124	39	.	.	.
20165	124	40	]	]	-RRB-
20165	125	1	THE	the	DT
20165	125	2	THEORY	theory	NN
20165	125	3	OF	of	IN
20165	125	4	PERSPECTIVE	perspective	JJ
20165	125	5	DEFINITIONS	definition	NNS
20165	125	6	I	-PRON-	PRP
20165	125	7	Fig	fig	NN
20165	125	8	.	.	.
20165	126	1	7	7	LS
20165	126	2	.	.	.
20165	127	1	In	in	IN
20165	127	2	this	this	DT
20165	127	3	figure	figure	NN
20165	127	4	,	,	,
20165	127	5	_	_	NNP
20165	127	6	AKB	AKB	NNP
20165	127	7	_	_	NNP
20165	127	8	represents	represent	VBZ
20165	127	9	the	the	DT
20165	127	10	picture	picture	NN
20165	127	11	or	or	CC
20165	127	12	transparent	transparent	JJ
20165	127	13	vertical	vertical	JJ
20165	127	14	plane	plane	NN
20165	127	15	through	through	IN
20165	127	16	which	which	WDT
20165	127	17	the	the	DT
20165	127	18	objects	object	NNS
20165	127	19	to	to	TO
20165	127	20	be	be	VB
20165	127	21	represented	represent	VBN
20165	127	22	can	can	MD
20165	127	23	be	be	VB
20165	127	24	seen	see	VBN
20165	127	25	,	,	,
20165	127	26	or	or	CC
20165	127	27	on	on	IN
20165	127	28	which	which	WDT
20165	127	29	they	-PRON-	PRP
20165	127	30	can	can	MD
20165	127	31	be	be	VB
20165	127	32	traced	trace	VBN
20165	127	33	,	,	,
20165	127	34	such	such	JJ
20165	127	35	as	as	IN
20165	127	36	the	the	DT
20165	127	37	cube	cube	NN
20165	127	38	_	_	NNP
20165	127	39	C	C	NNP
20165	127	40	_	_	NNP
20165	127	41	.	.	.
20165	128	1	[	[	-LRB-
20165	128	2	Illustration	illustration	NN
20165	128	3	:	:	:
20165	128	4	Fig	Fig	NNP
20165	128	5	.	.	.
20165	129	1	7	7	LS
20165	129	2	.	.	.
20165	129	3	]	]	-RRB-
20165	130	1	The	the	DT
20165	130	2	line	line	NN
20165	130	3	_	_	NNP
20165	130	4	HD	HD	NNP
20165	130	5	_	_	NNP
20165	130	6	is	be	VBZ
20165	130	7	the	the	DT
20165	130	8	+	+	SYM
20165	130	9	Horizontal	Horizontal	NNP
20165	130	10	-	-	HYPH
20165	130	11	line+	line+	NN
20165	130	12	or	or	CC
20165	130	13	+	+	CC
20165	130	14	Horizon+	Horizon+	NNP
20165	130	15	,	,	,
20165	130	16	the	the	DT
20165	130	17	chief	chief	JJ
20165	130	18	line	line	NN
20165	130	19	in	in	IN
20165	130	20	perspective	perspective	NN
20165	130	21	,	,	,
20165	130	22	as	as	IN
20165	130	23	upon	upon	IN
20165	130	24	it	-PRON-	PRP
20165	130	25	are	be	VBP
20165	130	26	placed	place	VBN
20165	130	27	the	the	DT
20165	130	28	principal	principal	JJ
20165	130	29	points	point	NNS
20165	130	30	to	to	TO
20165	130	31	which	which	WDT
20165	130	32	our	-PRON-	PRP$
20165	130	33	perspective	perspective	NN
20165	130	34	lines	line	NNS
20165	130	35	are	be	VBP
20165	130	36	drawn	draw	VBN
20165	130	37	.	.	.
20165	131	1	First	first	RB
20165	131	2	,	,	,
20165	131	3	the	the	DT
20165	131	4	+	+	SYM
20165	131	5	Point	Point	NNP
20165	131	6	of	of	IN
20165	131	7	Sight+	Sight+	NNP
20165	131	8	and	and	CC
20165	131	9	next	next	JJ
20165	131	10	_	_	NNP
20165	131	11	D	D	NNP
20165	131	12	_	_	NNP
20165	131	13	,	,	,
20165	131	14	the	the	DT
20165	131	15	+	+	SYM
20165	131	16	Point	Point	NNP
20165	131	17	of	of	IN
20165	131	18	Distance+	Distance+	NNP
20165	131	19	.	.	.
20165	132	1	The	the	DT
20165	132	2	chief	chief	JJ
20165	132	3	vanishing	vanish	VBG
20165	132	4	points	point	NNS
20165	132	5	and	and	CC
20165	132	6	measuring	measure	VBG
20165	132	7	points	point	NNS
20165	132	8	are	be	VBP
20165	132	9	also	also	RB
20165	132	10	placed	place	VBN
20165	132	11	on	on	IN
20165	132	12	this	this	DT
20165	132	13	line	line	NN
20165	132	14	.	.	.
20165	133	1	Another	another	DT
20165	133	2	important	important	JJ
20165	133	3	line	line	NN
20165	133	4	is	be	VBZ
20165	133	5	_	_	NNP
20165	133	6	AB	AB	NNP
20165	133	7	_	_	NNP
20165	133	8	,	,	,
20165	133	9	the	the	DT
20165	133	10	+	+	SYM
20165	133	11	Base+	base+	NN
20165	133	12	or	or	CC
20165	133	13	+	+	SYM
20165	133	14	Ground	Ground	NNP
20165	133	15	line+	line+	NN
20165	133	16	,	,	,
20165	133	17	as	as	IN
20165	133	18	it	-PRON-	PRP
20165	133	19	is	be	VBZ
20165	133	20	on	on	IN
20165	133	21	this	this	DT
20165	133	22	that	that	WDT
20165	133	23	we	-PRON-	PRP
20165	133	24	measure	measure	VBP
20165	133	25	the	the	DT
20165	133	26	width	width	NN
20165	133	27	of	of	IN
20165	133	28	any	any	DT
20165	133	29	object	object	NN
20165	133	30	to	to	TO
20165	133	31	be	be	VB
20165	133	32	represented	represent	VBN
20165	133	33	,	,	,
20165	133	34	such	such	JJ
20165	133	35	as	as	IN
20165	133	36	_	_	NNP
20165	133	37	ef	ef	NNP
20165	133	38	_	_	NNP
20165	133	39	,	,	,
20165	133	40	the	the	DT
20165	133	41	base	base	NN
20165	133	42	of	of	IN
20165	133	43	the	the	DT
20165	133	44	square	square	NN
20165	133	45	_	_	NNP
20165	133	46	efgh	efgh	NNS
20165	133	47	_	_	NNP
20165	133	48	,	,	,
20165	133	49	on	on	IN
20165	133	50	which	which	WDT
20165	133	51	the	the	DT
20165	133	52	cube	cube	NN
20165	133	53	_	_	NNP
20165	133	54	C	C	NNP
20165	133	55	_	_	NNP
20165	133	56	is	be	VBZ
20165	133	57	raised	raise	VBN
20165	133	58	.	.	.
20165	134	1	_	_	NNP
20165	134	2	E	E	NNP
20165	134	3	_	_	NNP
20165	134	4	is	be	VBZ
20165	134	5	the	the	DT
20165	134	6	position	position	NN
20165	134	7	of	of	IN
20165	134	8	the	the	DT
20165	134	9	eye	eye	NN
20165	134	10	of	of	IN
20165	134	11	the	the	DT
20165	134	12	spectator	spectator	NN
20165	134	13	,	,	,
20165	134	14	being	be	VBG
20165	134	15	drawn	draw	VBN
20165	134	16	in	in	IN
20165	134	17	perspective	perspective	NN
20165	134	18	,	,	,
20165	134	19	and	and	CC
20165	134	20	is	be	VBZ
20165	134	21	called	call	VBN
20165	134	22	the	the	DT
20165	134	23	+	+	NNP
20165	134	24	Station	Station	NNP
20165	134	25	-	-	HYPH
20165	134	26	point+	point+	NNP
20165	134	27	.	.	.
20165	135	1	Note	note	VB
20165	135	2	that	that	IN
20165	135	3	the	the	DT
20165	135	4	perspective	perspective	NN
20165	135	5	of	of	IN
20165	135	6	the	the	DT
20165	135	7	board	board	NN
20165	135	8	,	,	,
20165	135	9	and	and	CC
20165	135	10	the	the	DT
20165	135	11	line	line	NN
20165	135	12	_	_	NNP
20165	135	13	SE	SE	NNP
20165	135	14	_	_	NNP
20165	135	15	,	,	,
20165	135	16	is	be	VBZ
20165	135	17	not	not	RB
20165	135	18	the	the	DT
20165	135	19	same	same	JJ
20165	135	20	as	as	IN
20165	135	21	that	that	DT
20165	135	22	of	of	IN
20165	135	23	the	the	DT
20165	135	24	cube	cube	NN
20165	135	25	in	in	IN
20165	135	26	the	the	DT
20165	135	27	picture	picture	NN
20165	135	28	_	_	NNP
20165	135	29	AKB	AKB	NNP
20165	135	30	_	_	NNP
20165	135	31	,	,	,
20165	135	32	and	and	CC
20165	135	33	also	also	RB
20165	135	34	that	that	DT
20165	135	35	so	so	RB
20165	135	36	much	much	JJ
20165	135	37	of	of	IN
20165	135	38	the	the	DT
20165	135	39	board	board	NN
20165	135	40	which	which	WDT
20165	135	41	is	be	VBZ
20165	135	42	behind	behind	IN
20165	135	43	the	the	DT
20165	135	44	picture	picture	NN
20165	135	45	plane	plane	NN
20165	135	46	partially	partially	RB
20165	135	47	represents	represent	VBZ
20165	135	48	the	the	DT
20165	135	49	+	+	NNP
20165	135	50	Perspective	Perspective	NNP
20165	135	51	-	-	HYPH
20165	135	52	plane+	plane+	NNP
20165	135	53	,	,	,
20165	135	54	supposed	suppose	VBN
20165	135	55	to	to	TO
20165	135	56	be	be	VB
20165	135	57	perfectly	perfectly	RB
20165	135	58	level	level	NN
20165	135	59	and	and	CC
20165	135	60	to	to	TO
20165	135	61	extend	extend	VB
20165	135	62	from	from	IN
20165	135	63	the	the	DT
20165	135	64	base	base	NN
20165	135	65	line	line	NN
20165	135	66	to	to	IN
20165	135	67	the	the	DT
20165	135	68	horizon	horizon	NN
20165	135	69	.	.	.
20165	136	1	Of	of	IN
20165	136	2	this	this	DT
20165	136	3	we	-PRON-	PRP
20165	136	4	shall	shall	MD
20165	136	5	speak	speak	VB
20165	136	6	further	further	RB
20165	136	7	on	on	RB
20165	136	8	.	.	.
20165	137	1	In	in	IN
20165	137	2	nature	nature	NN
20165	137	3	it	-PRON-	PRP
20165	137	4	is	be	VBZ
20165	137	5	not	not	RB
20165	137	6	really	really	RB
20165	137	7	level	level	NN
20165	137	8	,	,	,
20165	137	9	but	but	CC
20165	137	10	partakes	partake	VBZ
20165	137	11	in	in	IN
20165	137	12	extended	extended	JJ
20165	137	13	views	view	NNS
20165	137	14	of	of	IN
20165	137	15	the	the	DT
20165	137	16	rotundity	rotundity	NN
20165	137	17	of	of	IN
20165	137	18	the	the	DT
20165	137	19	earth	earth	NN
20165	137	20	,	,	,
20165	137	21	though	though	IN
20165	137	22	in	in	IN
20165	137	23	small	small	JJ
20165	137	24	areas	area	NNS
20165	137	25	such	such	JJ
20165	137	26	as	as	IN
20165	137	27	ponds	pond	NNS
20165	137	28	the	the	DT
20165	137	29	roundness	roundness	NN
20165	137	30	is	be	VBZ
20165	137	31	infinitesimal	infinitesimal	JJ
20165	137	32	.	.	.
20165	138	1	[	[	-LRB-
20165	138	2	Illustration	illustration	NN
20165	138	3	:	:	:
20165	138	4	Fig	Fig	NNP
20165	138	5	.	.	.
20165	139	1	8	8	LS
20165	139	2	.	.	.
20165	139	3	]	]	-RRB-
20165	140	1	Fig	fig	NN
20165	140	2	.	.	.
20165	141	1	8	8	LS
20165	141	2	.	.	.
20165	142	1	This	this	DT
20165	142	2	is	be	VBZ
20165	142	3	a	a	DT
20165	142	4	side	side	JJ
20165	142	5	view	view	NN
20165	142	6	of	of	IN
20165	142	7	the	the	DT
20165	142	8	previous	previous	JJ
20165	142	9	figure	figure	NN
20165	142	10	,	,	,
20165	142	11	the	the	DT
20165	142	12	picture	picture	NN
20165	142	13	plane	plane	NN
20165	142	14	_	_	NNP
20165	142	15	K	K	NNP
20165	142	16	_	_	NNP
20165	142	17	being	be	VBG
20165	142	18	represented	represent	VBN
20165	142	19	edgeways	edgeway	NNS
20165	142	20	,	,	,
20165	142	21	and	and	CC
20165	142	22	the	the	DT
20165	142	23	line	line	NN
20165	142	24	_	_	NNP
20165	142	25	SE	SE	NNP
20165	142	26	_	_	NNP
20165	142	27	its	-PRON-	PRP$
20165	142	28	full	full	JJ
20165	142	29	length	length	NN
20165	142	30	.	.	.
20165	143	1	It	-PRON-	PRP
20165	143	2	also	also	RB
20165	143	3	shows	show	VBZ
20165	143	4	the	the	DT
20165	143	5	position	position	NN
20165	143	6	of	of	IN
20165	143	7	the	the	DT
20165	143	8	eye	eye	NN
20165	143	9	in	in	IN
20165	143	10	front	front	NN
20165	143	11	of	of	IN
20165	143	12	the	the	DT
20165	143	13	point	point	NN
20165	143	14	of	of	IN
20165	143	15	sight	sight	NN
20165	143	16	_	_	NNP
20165	143	17	S	S	NNP
20165	143	18	_	_	NNP
20165	143	19	.	.	.
20165	144	1	The	the	DT
20165	144	2	horizontal	horizontal	JJ
20165	144	3	-	-	HYPH
20165	144	4	line	line	NN
20165	144	5	_	_	NNP
20165	144	6	HD	HD	NNP
20165	144	7	_	_	NNP
20165	144	8	and	and	CC
20165	144	9	the	the	DT
20165	144	10	base	base	NN
20165	144	11	or	or	CC
20165	144	12	ground	ground	NN
20165	144	13	-	-	HYPH
20165	144	14	line	line	NN
20165	144	15	_	_	NNP
20165	144	16	AB	AB	NNP
20165	144	17	_	_	NNP
20165	144	18	are	be	VBP
20165	144	19	represented	represent	VBN
20165	144	20	as	as	IN
20165	144	21	receding	recede	VBG
20165	144	22	from	from	IN
20165	144	23	us	-PRON-	PRP
20165	144	24	,	,	,
20165	144	25	and	and	CC
20165	144	26	in	in	IN
20165	144	27	that	that	DT
20165	144	28	case	case	NN
20165	144	29	are	be	VBP
20165	144	30	called	call	VBN
20165	144	31	vanishing	vanish	VBG
20165	144	32	lines	line	NNS
20165	144	33	,	,	,
20165	144	34	a	a	DT
20165	144	35	not	not	RB
20165	144	36	quite	quite	RB
20165	144	37	satisfactory	satisfactory	JJ
20165	144	38	term	term	NN
20165	144	39	.	.	.
20165	145	1	It	-PRON-	PRP
20165	145	2	is	be	VBZ
20165	145	3	to	to	TO
20165	145	4	be	be	VB
20165	145	5	noted	note	VBN
20165	145	6	that	that	IN
20165	145	7	the	the	DT
20165	145	8	cube	cube	NN
20165	145	9	_	_	NNP
20165	145	10	C	C	NNP
20165	145	11	_	_	NNP
20165	145	12	is	be	VBZ
20165	145	13	placed	place	VBN
20165	145	14	close	close	RB
20165	145	15	to	to	IN
20165	145	16	the	the	DT
20165	145	17	transparent	transparent	JJ
20165	145	18	picture	picture	NN
20165	145	19	plane	plane	NN
20165	145	20	,	,	,
20165	145	21	indeed	indeed	RB
20165	145	22	touches	touch	VBZ
20165	145	23	it	-PRON-	PRP
20165	145	24	,	,	,
20165	145	25	and	and	CC
20165	145	26	that	that	IN
20165	145	27	the	the	DT
20165	145	28	square	square	NN
20165	145	29	_	_	NNP
20165	145	30	fj	fj	NNP
20165	145	31	_	_	NNP
20165	145	32	faces	face	VBZ
20165	145	33	the	the	DT
20165	145	34	spectator	spectator	NN
20165	145	35	_	_	NNP
20165	145	36	E	E	NNP
20165	145	37	_	_	NNP
20165	145	38	,	,	,
20165	145	39	and	and	CC
20165	145	40	although	although	IN
20165	145	41	here	here	RB
20165	145	42	drawn	draw	VBN
20165	145	43	in	in	IN
20165	145	44	perspective	perspective	NN
20165	145	45	it	-PRON-	PRP
20165	145	46	appears	appear	VBZ
20165	145	47	to	to	IN
20165	145	48	him	-PRON-	PRP
20165	145	49	as	as	IN
20165	145	50	in	in	IN
20165	145	51	the	the	DT
20165	145	52	other	other	JJ
20165	145	53	figure	figure	NN
20165	145	54	.	.	.
20165	146	1	Also	also	RB
20165	146	2	,	,	,
20165	146	3	it	-PRON-	PRP
20165	146	4	is	be	VBZ
20165	146	5	at	at	IN
20165	146	6	the	the	DT
20165	146	7	same	same	JJ
20165	146	8	time	time	NN
20165	146	9	a	a	DT
20165	146	10	perspective	perspective	NN
20165	146	11	and	and	CC
20165	146	12	a	a	DT
20165	146	13	geometrical	geometrical	JJ
20165	146	14	figure	figure	NN
20165	146	15	,	,	,
20165	146	16	and	and	CC
20165	146	17	can	can	MD
20165	146	18	therefore	therefore	RB
20165	146	19	be	be	VB
20165	146	20	measured	measure	VBN
20165	146	21	with	with	IN
20165	146	22	the	the	DT
20165	146	23	compasses	compass	NNS
20165	146	24	.	.	.
20165	147	1	Or	or	CC
20165	147	2	in	in	IN
20165	147	3	other	other	JJ
20165	147	4	words	word	NNS
20165	147	5	,	,	,
20165	147	6	we	-PRON-	PRP
20165	147	7	can	can	MD
20165	147	8	touch	touch	VB
20165	147	9	the	the	DT
20165	147	10	square	square	NN
20165	147	11	_	_	NNP
20165	147	12	fj	fj	NNP
20165	147	13	_	_	NNP
20165	147	14	,	,	,
20165	147	15	because	because	IN
20165	147	16	it	-PRON-	PRP
20165	147	17	is	be	VBZ
20165	147	18	on	on	IN
20165	147	19	the	the	DT
20165	147	20	surface	surface	NN
20165	147	21	of	of	IN
20165	147	22	the	the	DT
20165	147	23	picture	picture	NN
20165	147	24	,	,	,
20165	147	25	but	but	CC
20165	147	26	we	-PRON-	PRP
20165	147	27	can	can	MD
20165	147	28	not	not	RB
20165	147	29	touch	touch	VB
20165	147	30	the	the	DT
20165	147	31	square	square	JJ
20165	147	32	_	_	NNP
20165	147	33	ghmb	ghmb	NNP
20165	147	34	_	_	NNP
20165	147	35	at	at	IN
20165	147	36	the	the	DT
20165	147	37	other	other	JJ
20165	147	38	end	end	NN
20165	147	39	of	of	IN
20165	147	40	the	the	DT
20165	147	41	cube	cube	NN
20165	147	42	and	and	CC
20165	147	43	can	can	MD
20165	147	44	only	only	RB
20165	147	45	measure	measure	VB
20165	147	46	it	-PRON-	PRP
20165	147	47	by	by	IN
20165	147	48	the	the	DT
20165	147	49	rules	rule	NNS
20165	147	50	of	of	IN
20165	147	51	perspective	perspective	NN
20165	147	52	.	.	.
20165	148	1	II	II	NNP
20165	148	2	THE	the	DT
20165	148	3	POINT	POINT	NNS
20165	148	4	OF	of	IN
20165	148	5	SIGHT	SIGHT	NNP
20165	148	6	,	,	,
20165	148	7	THE	the	DT
20165	148	8	HORIZON	horizon	RB
20165	148	9	,	,	,
20165	148	10	AND	and	CC
20165	148	11	THE	the	DT
20165	148	12	POINT	POINT	NNS
20165	148	13	OF	of	IN
20165	148	14	DISTANCE	DISTANCE	NNP
20165	148	15	There	there	EX
20165	148	16	are	be	VBP
20165	148	17	three	three	CD
20165	148	18	things	thing	NNS
20165	148	19	to	to	TO
20165	148	20	be	be	VB
20165	148	21	considered	consider	VBN
20165	148	22	and	and	CC
20165	148	23	understood	understand	VBN
20165	148	24	before	before	IN
20165	148	25	we	-PRON-	PRP
20165	148	26	can	can	MD
20165	148	27	begin	begin	VB
20165	148	28	a	a	DT
20165	148	29	perspective	perspective	NN
20165	148	30	drawing	drawing	NN
20165	148	31	.	.	.
20165	149	1	First	first	RB
20165	149	2	,	,	,
20165	149	3	the	the	DT
20165	149	4	position	position	NN
20165	149	5	of	of	IN
20165	149	6	the	the	DT
20165	149	7	eye	eye	NN
20165	149	8	in	in	IN
20165	149	9	front	front	NN
20165	149	10	of	of	IN
20165	149	11	the	the	DT
20165	149	12	picture	picture	NN
20165	149	13	,	,	,
20165	149	14	which	which	WDT
20165	149	15	is	be	VBZ
20165	149	16	called	call	VBN
20165	149	17	the	the	DT
20165	149	18	+	+	NNP
20165	149	19	Station	Station	NNP
20165	149	20	-	-	HYPH
20165	149	21	point+	point+	NNP
20165	149	22	,	,	,
20165	149	23	and	and	CC
20165	149	24	of	of	IN
20165	149	25	course	course	NN
20165	149	26	is	be	VBZ
20165	149	27	not	not	RB
20165	149	28	in	in	IN
20165	149	29	the	the	DT
20165	149	30	picture	picture	NN
20165	149	31	itself	-PRON-	PRP
20165	149	32	,	,	,
20165	149	33	but	but	CC
20165	149	34	its	-PRON-	PRP$
20165	149	35	position	position	NN
20165	149	36	is	be	VBZ
20165	149	37	indicated	indicate	VBN
20165	149	38	by	by	IN
20165	149	39	a	a	DT
20165	149	40	point	point	NN
20165	149	41	on	on	IN
20165	149	42	the	the	DT
20165	149	43	picture	picture	NN
20165	149	44	which	which	WDT
20165	149	45	is	be	VBZ
20165	149	46	exactly	exactly	RB
20165	149	47	opposite	opposite	JJ
20165	149	48	the	the	DT
20165	149	49	eye	eye	NN
20165	149	50	of	of	IN
20165	149	51	the	the	DT
20165	149	52	spectator	spectator	NN
20165	149	53	,	,	,
20165	149	54	and	and	CC
20165	149	55	is	be	VBZ
20165	149	56	called	call	VBN
20165	149	57	the	the	DT
20165	149	58	+	+	SYM
20165	149	59	Point	Point	NNP
20165	149	60	of	of	IN
20165	149	61	Sight+	Sight+	NNP
20165	149	62	,	,	,
20165	149	63	or	or	CC
20165	149	64	+	+	NNP
20165	149	65	Principal	Principal	NNP
20165	149	66	Point+	Point+	NNP
20165	149	67	,	,	,
20165	149	68	or	or	CC
20165	149	69	+	+	DT
20165	149	70	Centre	Centre	NNP
20165	149	71	of	of	IN
20165	149	72	Vision+	Vision+	NNP
20165	149	73	,	,	,
20165	149	74	but	but	CC
20165	149	75	we	-PRON-	PRP
20165	149	76	will	will	MD
20165	149	77	keep	keep	VB
20165	149	78	to	to	IN
20165	149	79	the	the	DT
20165	149	80	first	first	JJ
20165	149	81	of	of	IN
20165	149	82	these	these	DT
20165	149	83	.	.	.
20165	150	1	[	[	-LRB-
20165	150	2	Illustration	illustration	NN
20165	150	3	:	:	:
20165	150	4	Fig	Fig	NNP
20165	150	5	.	.	.
20165	151	1	9	9	CD
20165	151	2	.	.	.
20165	151	3	]	]	-RRB-
20165	152	1	[	[	-LRB-
20165	152	2	Illustration	illustration	NN
20165	152	3	:	:	:
20165	152	4	Fig	Fig	NNP
20165	152	5	.	.	.
20165	153	1	10	10	CD
20165	153	2	.	.	.
20165	153	3	]	]	-RRB-
20165	154	1	If	if	IN
20165	154	2	our	-PRON-	PRP$
20165	154	3	picture	picture	NN
20165	154	4	plane	plane	NN
20165	154	5	is	be	VBZ
20165	154	6	a	a	DT
20165	154	7	sheet	sheet	NN
20165	154	8	of	of	IN
20165	154	9	glass	glass	NN
20165	154	10	,	,	,
20165	154	11	and	and	CC
20165	154	12	is	be	VBZ
20165	154	13	so	so	RB
20165	154	14	placed	place	VBN
20165	154	15	that	that	IN
20165	154	16	we	-PRON-	PRP
20165	154	17	can	can	MD
20165	154	18	see	see	VB
20165	154	19	the	the	DT
20165	154	20	landscape	landscape	NN
20165	154	21	behind	behind	IN
20165	154	22	it	-PRON-	PRP
20165	154	23	or	or	CC
20165	154	24	a	a	DT
20165	154	25	sea	sea	NN
20165	154	26	-	-	HYPH
20165	154	27	view	view	NN
20165	154	28	,	,	,
20165	154	29	we	-PRON-	PRP
20165	154	30	shall	shall	MD
20165	154	31	find	find	VB
20165	154	32	that	that	IN
20165	154	33	the	the	DT
20165	154	34	distant	distant	JJ
20165	154	35	line	line	NN
20165	154	36	of	of	IN
20165	154	37	the	the	DT
20165	154	38	horizon	horizon	NN
20165	154	39	passes	pass	VBZ
20165	154	40	through	through	IN
20165	154	41	that	that	DT
20165	154	42	point	point	NN
20165	154	43	of	of	IN
20165	154	44	sight	sight	NN
20165	154	45	,	,	,
20165	154	46	and	and	CC
20165	154	47	we	-PRON-	PRP
20165	154	48	therefore	therefore	RB
20165	154	49	draw	draw	VBP
20165	154	50	a	a	DT
20165	154	51	line	line	NN
20165	154	52	on	on	IN
20165	154	53	our	-PRON-	PRP$
20165	154	54	picture	picture	NN
20165	154	55	which	which	WDT
20165	154	56	exactly	exactly	RB
20165	154	57	corresponds	correspond	VBZ
20165	154	58	with	with	IN
20165	154	59	it	-PRON-	PRP
20165	154	60	,	,	,
20165	154	61	and	and	CC
20165	154	62	which	which	WDT
20165	154	63	we	-PRON-	PRP
20165	154	64	call	call	VBP
20165	154	65	the	the	DT
20165	154	66	+	+	SYM
20165	154	67	Horizontal	Horizontal	NNP
20165	154	68	-	-	HYPH
20165	154	69	line+	line+	NN
20165	154	70	or	or	CC
20165	154	71	+	+	CC
20165	154	72	Horizon+	horizon+	ADD
20165	154	73	.	.	.
20165	155	1	[	[	-LRB-
20165	155	2	3	3	LS
20165	155	3	]	]	-RRB-
20165	155	4	The	the	DT
20165	155	5	height	height	NN
20165	155	6	of	of	IN
20165	155	7	the	the	DT
20165	155	8	horizon	horizon	NN
20165	155	9	then	then	RB
20165	155	10	depends	depend	VBZ
20165	155	11	entirely	entirely	RB
20165	155	12	upon	upon	IN
20165	155	13	the	the	DT
20165	155	14	position	position	NN
20165	155	15	of	of	IN
20165	155	16	the	the	DT
20165	155	17	eye	eye	NN
20165	155	18	of	of	IN
20165	155	19	the	the	DT
20165	155	20	spectator	spectator	NN
20165	155	21	:	:	:
20165	155	22	if	if	IN
20165	155	23	he	-PRON-	PRP
20165	155	24	rises	rise	VBZ
20165	155	25	,	,	,
20165	155	26	so	so	RB
20165	155	27	does	do	VBZ
20165	155	28	the	the	DT
20165	155	29	horizon	horizon	NN
20165	155	30	;	;	:
20165	155	31	if	if	IN
20165	155	32	he	-PRON-	PRP
20165	155	33	stoops	stoop	VBZ
20165	155	34	or	or	CC
20165	155	35	descends	descend	VBZ
20165	155	36	to	to	IN
20165	155	37	lower	low	JJR
20165	155	38	ground	ground	NN
20165	155	39	,	,	,
20165	155	40	so	so	RB
20165	155	41	does	do	VBZ
20165	155	42	the	the	DT
20165	155	43	horizon	horizon	NN
20165	155	44	follow	follow	VB
20165	155	45	his	-PRON-	PRP$
20165	155	46	movements	movement	NNS
20165	155	47	.	.	.
20165	156	1	You	-PRON-	PRP
20165	156	2	may	may	MD
20165	156	3	sit	sit	VB
20165	156	4	in	in	IN
20165	156	5	a	a	DT
20165	156	6	boat	boat	NN
20165	156	7	on	on	IN
20165	156	8	a	a	DT
20165	156	9	calm	calm	JJ
20165	156	10	sea	sea	NN
20165	156	11	,	,	,
20165	156	12	and	and	CC
20165	156	13	the	the	DT
20165	156	14	horizon	horizon	NN
20165	156	15	will	will	MD
20165	156	16	be	be	VB
20165	156	17	as	as	RB
20165	156	18	low	low	JJ
20165	156	19	down	down	RB
20165	156	20	as	as	IN
20165	156	21	you	-PRON-	PRP
20165	156	22	are	be	VBP
20165	156	23	,	,	,
20165	156	24	or	or	CC
20165	156	25	you	-PRON-	PRP
20165	156	26	may	may	MD
20165	156	27	go	go	VB
20165	156	28	to	to	IN
20165	156	29	the	the	DT
20165	156	30	top	top	NN
20165	156	31	of	of	IN
20165	156	32	a	a	DT
20165	156	33	high	high	JJ
20165	156	34	cliff	cliff	NN
20165	156	35	,	,	,
20165	156	36	and	and	CC
20165	156	37	still	still	RB
20165	156	38	the	the	DT
20165	156	39	horizon	horizon	NN
20165	156	40	will	will	MD
20165	156	41	be	be	VB
20165	156	42	on	on	IN
20165	156	43	the	the	DT
20165	156	44	same	same	JJ
20165	156	45	level	level	NN
20165	156	46	as	as	IN
20165	156	47	your	-PRON-	PRP$
20165	156	48	eye	eye	NN
20165	156	49	.	.	.
20165	157	1	[	[	-LRB-
20165	157	2	Footnote	footnote	NN
20165	157	3	3	3	CD
20165	157	4	:	:	:
20165	157	5	In	in	IN
20165	157	6	a	a	DT
20165	157	7	sea	sea	NN
20165	157	8	-	-	HYPH
20165	157	9	view	view	NN
20165	157	10	,	,	,
20165	157	11	owing	owe	VBG
20165	157	12	to	to	IN
20165	157	13	the	the	DT
20165	157	14	rotundity	rotundity	NN
20165	157	15	of	of	IN
20165	157	16	the	the	DT
20165	157	17	earth	earth	NN
20165	157	18	,	,	,
20165	157	19	the	the	DT
20165	157	20	real	real	JJ
20165	157	21	horizontal	horizontal	JJ
20165	157	22	line	line	NN
20165	157	23	is	be	VBZ
20165	157	24	slightly	slightly	RB
20165	157	25	below	below	IN
20165	157	26	the	the	DT
20165	157	27	sea	sea	NN
20165	157	28	line	line	NN
20165	157	29	,	,	,
20165	157	30	which	which	WDT
20165	157	31	is	be	VBZ
20165	157	32	noted	note	VBN
20165	157	33	in	in	IN
20165	157	34	Chapter	Chapter	NNP
20165	157	35	I.	I.	NNP
20165	157	36	]	]	-RRB-
20165	158	1	This	this	DT
20165	158	2	is	be	VBZ
20165	158	3	an	an	DT
20165	158	4	important	important	JJ
20165	158	5	line	line	NN
20165	158	6	for	for	IN
20165	158	7	the	the	DT
20165	158	8	draughtsman	draughtsman	NN
20165	158	9	to	to	TO
20165	158	10	consider	consider	VB
20165	158	11	,	,	,
20165	158	12	for	for	IN
20165	158	13	the	the	DT
20165	158	14	effect	effect	NN
20165	158	15	of	of	IN
20165	158	16	his	-PRON-	PRP$
20165	158	17	picture	picture	NN
20165	158	18	greatly	greatly	RB
20165	158	19	depends	depend	VBZ
20165	158	20	upon	upon	IN
20165	158	21	the	the	DT
20165	158	22	position	position	NN
20165	158	23	of	of	IN
20165	158	24	the	the	DT
20165	158	25	horizon	horizon	NN
20165	158	26	.	.	.
20165	159	1	If	if	IN
20165	159	2	you	-PRON-	PRP
20165	159	3	wish	wish	VBP
20165	159	4	to	to	TO
20165	159	5	give	give	VB
20165	159	6	height	height	NN
20165	159	7	and	and	CC
20165	159	8	dignity	dignity	NN
20165	159	9	to	to	IN
20165	159	10	a	a	DT
20165	159	11	mountain	mountain	NN
20165	159	12	or	or	CC
20165	159	13	a	a	DT
20165	159	14	building	building	NN
20165	159	15	,	,	,
20165	159	16	the	the	DT
20165	159	17	horizon	horizon	NN
20165	159	18	should	should	MD
20165	159	19	be	be	VB
20165	159	20	low	low	JJ
20165	159	21	down	down	RB
20165	159	22	,	,	,
20165	159	23	so	so	IN
20165	159	24	that	that	IN
20165	159	25	these	these	DT
20165	159	26	things	thing	NNS
20165	159	27	may	may	MD
20165	159	28	appear	appear	VB
20165	159	29	to	to	TO
20165	159	30	tower	tower	VB
20165	159	31	above	above	IN
20165	159	32	you	-PRON-	PRP
20165	159	33	.	.	.
20165	160	1	If	if	IN
20165	160	2	you	-PRON-	PRP
20165	160	3	wish	wish	VBP
20165	160	4	to	to	TO
20165	160	5	show	show	VB
20165	160	6	a	a	DT
20165	160	7	wide	wide	JJ
20165	160	8	expanse	expanse	NN
20165	160	9	of	of	IN
20165	160	10	landscape	landscape	NN
20165	160	11	,	,	,
20165	160	12	then	then	RB
20165	160	13	you	-PRON-	PRP
20165	160	14	must	must	MD
20165	160	15	survey	survey	VB
20165	160	16	it	-PRON-	PRP
20165	160	17	from	from	IN
20165	160	18	a	a	DT
20165	160	19	height	height	NN
20165	160	20	.	.	.
20165	161	1	In	in	IN
20165	161	2	a	a	DT
20165	161	3	composition	composition	NN
20165	161	4	of	of	IN
20165	161	5	figures	figure	NNS
20165	161	6	,	,	,
20165	161	7	you	-PRON-	PRP
20165	161	8	select	select	VBP
20165	161	9	your	-PRON-	PRP$
20165	161	10	horizon	horizon	NN
20165	161	11	according	accord	VBG
20165	161	12	to	to	IN
20165	161	13	the	the	DT
20165	161	14	subject	subject	NN
20165	161	15	,	,	,
20165	161	16	and	and	CC
20165	161	17	with	with	IN
20165	161	18	a	a	DT
20165	161	19	view	view	NN
20165	161	20	to	to	TO
20165	161	21	help	help	VB
20165	161	22	the	the	DT
20165	161	23	grouping	grouping	NN
20165	161	24	.	.	.
20165	162	1	Again	again	RB
20165	162	2	,	,	,
20165	162	3	in	in	IN
20165	162	4	portraits	portrait	NNS
20165	162	5	and	and	CC
20165	162	6	decorative	decorative	JJ
20165	162	7	work	work	NN
20165	162	8	to	to	TO
20165	162	9	be	be	VB
20165	162	10	placed	place	VBN
20165	162	11	high	high	RB
20165	162	12	up	up	RB
20165	162	13	,	,	,
20165	162	14	a	a	DT
20165	162	15	low	low	JJ
20165	162	16	horizon	horizon	NN
20165	162	17	is	be	VBZ
20165	162	18	desirable	desirable	JJ
20165	162	19	,	,	,
20165	162	20	but	but	CC
20165	162	21	I	-PRON-	PRP
20165	162	22	have	have	VBP
20165	162	23	already	already	RB
20165	162	24	spoken	speak	VBN
20165	162	25	of	of	IN
20165	162	26	this	this	DT
20165	162	27	subject	subject	NN
20165	162	28	in	in	IN
20165	162	29	the	the	DT
20165	162	30	chapter	chapter	NN
20165	162	31	on	on	IN
20165	162	32	the	the	DT
20165	162	33	necessity	necessity	NN
20165	162	34	of	of	IN
20165	162	35	the	the	DT
20165	162	36	study	study	NN
20165	162	37	of	of	IN
20165	162	38	perspective	perspective	NN
20165	162	39	.	.	.
20165	163	1	III	iii	CD
20165	163	2	POINT	POINT	NNS
20165	163	3	OF	of	IN
20165	163	4	DISTANCE	DISTANCE	NNP
20165	163	5	Fig	Fig	NNP
20165	163	6	.	.	.
20165	164	1	11	11	CD
20165	164	2	.	.	.
20165	165	1	The	the	DT
20165	165	2	distance	distance	NN
20165	165	3	of	of	IN
20165	165	4	the	the	DT
20165	165	5	spectator	spectator	NN
20165	165	6	from	from	IN
20165	165	7	the	the	DT
20165	165	8	picture	picture	NN
20165	165	9	is	be	VBZ
20165	165	10	of	of	IN
20165	165	11	great	great	JJ
20165	165	12	importance	importance	NN
20165	165	13	;	;	:
20165	165	14	as	as	IN
20165	165	15	the	the	DT
20165	165	16	distortions	distortion	NNS
20165	165	17	and	and	CC
20165	165	18	disproportions	disproportion	NNS
20165	165	19	arising	arise	VBG
20165	165	20	from	from	IN
20165	165	21	too	too	RB
20165	165	22	near	near	IN
20165	165	23	a	a	DT
20165	165	24	view	view	NN
20165	165	25	are	be	VBP
20165	165	26	to	to	TO
20165	165	27	be	be	VB
20165	165	28	avoided	avoid	VBN
20165	165	29	,	,	,
20165	165	30	the	the	DT
20165	165	31	object	object	NN
20165	165	32	of	of	IN
20165	165	33	drawing	draw	VBG
20165	165	34	being	be	VBG
20165	165	35	to	to	TO
20165	165	36	make	make	VB
20165	165	37	things	thing	NNS
20165	165	38	look	look	VB
20165	165	39	natural	natural	JJ
20165	165	40	;	;	:
20165	165	41	thus	thus	RB
20165	165	42	,	,	,
20165	165	43	the	the	DT
20165	165	44	floor	floor	NN
20165	165	45	should	should	MD
20165	165	46	look	look	VB
20165	165	47	level	level	NN
20165	165	48	,	,	,
20165	165	49	and	and	CC
20165	165	50	not	not	RB
20165	165	51	as	as	IN
20165	165	52	if	if	IN
20165	165	53	it	-PRON-	PRP
20165	165	54	were	be	VBD
20165	165	55	running	run	VBG
20165	165	56	up	up	RP
20165	165	57	hill	hill	NN
20165	165	58	--	--	:
20165	165	59	the	the	DT
20165	165	60	top	top	NN
20165	165	61	of	of	IN
20165	165	62	a	a	DT
20165	165	63	table	table	NN
20165	165	64	flat	flat	JJ
20165	165	65	,	,	,
20165	165	66	and	and	CC
20165	165	67	not	not	RB
20165	165	68	on	on	IN
20165	165	69	a	a	DT
20165	165	70	slant	slant	NN
20165	165	71	,	,	,
20165	165	72	as	as	IN
20165	165	73	if	if	IN
20165	165	74	cups	cup	NNS
20165	165	75	and	and	CC
20165	165	76	what	what	WP
20165	165	77	not	not	RB
20165	165	78	,	,	,
20165	165	79	placed	place	VBN
20165	165	80	upon	upon	IN
20165	165	81	it	-PRON-	PRP
20165	165	82	,	,	,
20165	165	83	would	would	MD
20165	165	84	fall	fall	VB
20165	165	85	off	off	RP
20165	165	86	.	.	.
20165	166	1	In	in	IN
20165	166	2	this	this	DT
20165	166	3	figure	figure	NN
20165	166	4	we	-PRON-	PRP
20165	166	5	have	have	VBP
20165	166	6	a	a	DT
20165	166	7	geometrical	geometrical	JJ
20165	166	8	or	or	CC
20165	166	9	ground	ground	NN
20165	166	10	plan	plan	NN
20165	166	11	of	of	IN
20165	166	12	two	two	CD
20165	166	13	squares	square	NNS
20165	166	14	at	at	IN
20165	166	15	different	different	JJ
20165	166	16	distances	distance	NNS
20165	166	17	from	from	IN
20165	166	18	the	the	DT
20165	166	19	picture	picture	NN
20165	166	20	,	,	,
20165	166	21	which	which	WDT
20165	166	22	is	be	VBZ
20165	166	23	represented	represent	VBN
20165	166	24	by	by	IN
20165	166	25	the	the	DT
20165	166	26	line	line	NN
20165	166	27	_	_	NNP
20165	166	28	KK	KK	NNP
20165	166	29	_	_	NNP
20165	166	30	.	.	.
20165	167	1	The	the	DT
20165	167	2	spectator	spectator	NN
20165	167	3	is	be	VBZ
20165	167	4	first	first	RB
20165	167	5	at	at	IN
20165	167	6	_	_	NNP
20165	167	7	A	A	NNP
20165	167	8	_	_	NNP
20165	167	9	,	,	,
20165	167	10	the	the	DT
20165	167	11	corner	corner	NN
20165	167	12	of	of	IN
20165	167	13	the	the	DT
20165	167	14	near	near	JJ
20165	167	15	square	square	NN
20165	167	16	_	_	NNP
20165	167	17	Acd	Acd	NNP
20165	167	18	_	_	NNP
20165	167	19	.	.	.
20165	168	1	If	if	IN
20165	168	2	from	from	IN
20165	168	3	_	_	NNP
20165	168	4	A	A	NNP
20165	168	5	_	_	NNP
20165	168	6	we	-PRON-	PRP
20165	168	7	draw	draw	VBP
20165	168	8	a	a	DT
20165	168	9	diagonal	diagonal	NN
20165	168	10	of	of	IN
20165	168	11	that	that	DT
20165	168	12	square	square	NN
20165	168	13	and	and	CC
20165	168	14	produce	produce	VB
20165	168	15	it	-PRON-	PRP
20165	168	16	to	to	IN
20165	168	17	the	the	DT
20165	168	18	line	line	NN
20165	168	19	_	_	NNP
20165	168	20	KK	KK	NNP
20165	168	21	_	_	NNP
20165	168	22	(	(	-LRB-
20165	168	23	which	which	WDT
20165	168	24	may	may	MD
20165	168	25	represent	represent	VB
20165	168	26	the	the	DT
20165	168	27	horizontal	horizontal	JJ
20165	168	28	-	-	HYPH
20165	168	29	line	line	NN
20165	168	30	in	in	IN
20165	168	31	the	the	DT
20165	168	32	picture	picture	NN
20165	168	33	)	)	-RRB-
20165	168	34	,	,	,
20165	168	35	where	where	WRB
20165	168	36	it	-PRON-	PRP
20165	168	37	intersects	intersect	VBZ
20165	168	38	that	that	DT
20165	168	39	line	line	NN
20165	168	40	at	at	IN
20165	168	41	_	_	NNP
20165	168	42	A	A	NNP
20165	168	43	·	·	NFP
20165	168	44	_	_	NNP
20165	168	45	marks	mark	VBZ
20165	168	46	the	the	DT
20165	168	47	distance	distance	NN
20165	168	48	that	that	IN
20165	168	49	the	the	DT
20165	168	50	spectator	spectator	NN
20165	168	51	is	be	VBZ
20165	168	52	from	from	IN
20165	168	53	the	the	DT
20165	168	54	point	point	NN
20165	168	55	of	of	IN
20165	168	56	sight	sight	NN
20165	168	57	_	_	NNP
20165	168	58	S	S	NNP
20165	168	59	_	_	NNP
20165	168	60	.	.	.
20165	169	1	For	for	IN
20165	169	2	it	-PRON-	PRP
20165	169	3	will	will	MD
20165	169	4	be	be	VB
20165	169	5	seen	see	VBN
20165	169	6	that	that	DT
20165	169	7	line	line	NN
20165	169	8	_	_	NNP
20165	169	9	SA	SA	NNP
20165	169	10	_	_	NNP
20165	169	11	equals	equal	VBZ
20165	169	12	line	line	NN
20165	169	13	_	_	NNP
20165	169	14	SA	SA	NNP
20165	169	15	·	·	NFP
20165	169	16	_	_	NNP
20165	169	17	.	.	.
20165	170	1	In	in	IN
20165	170	2	like	like	JJ
20165	170	3	manner	manner	NN
20165	170	4	,	,	,
20165	170	5	if	if	IN
20165	170	6	the	the	DT
20165	170	7	spectator	spectator	NN
20165	170	8	is	be	VBZ
20165	170	9	at	at	IN
20165	170	10	_	_	NNP
20165	170	11	B	B	NNP
20165	170	12	_	_	NNP
20165	170	13	,	,	,
20165	170	14	his	-PRON-	PRP$
20165	170	15	distance	distance	NN
20165	170	16	from	from	IN
20165	170	17	the	the	DT
20165	170	18	point	point	NN
20165	170	19	_	_	NNP
20165	170	20	S	S	NNP
20165	170	21	_	_	NNP
20165	170	22	is	be	VBZ
20165	170	23	also	also	RB
20165	170	24	found	find	VBN
20165	170	25	on	on	IN
20165	170	26	the	the	DT
20165	170	27	horizon	horizon	NN
20165	170	28	by	by	IN
20165	170	29	means	mean	NNS
20165	170	30	of	of	IN
20165	170	31	the	the	DT
20165	170	32	diagonal	diagonal	JJ
20165	170	33	_	_	NNP
20165	170	34	BB	BB	NNP
20165	170	35	´	´	NNP
20165	170	36	_	_	NNP
20165	170	37	,	,	,
20165	170	38	so	so	IN
20165	170	39	that	that	IN
20165	170	40	all	all	DT
20165	170	41	lines	line	NNS
20165	170	42	or	or	CC
20165	170	43	diagonals	diagonal	NNS
20165	170	44	at	at	IN
20165	170	45	45	45	CD
20165	170	46	°	°	NNS
20165	170	47	are	be	VBP
20165	170	48	drawn	draw	VBN
20165	170	49	to	to	IN
20165	170	50	the	the	DT
20165	170	51	point	point	NN
20165	170	52	of	of	IN
20165	170	53	distance	distance	NN
20165	170	54	(	(	-LRB-
20165	170	55	see	see	VB
20165	170	56	Rule	Rule	NNP
20165	170	57	6	6	CD
20165	170	58	)	)	-RRB-
20165	170	59	.	.	.
20165	171	1	Figs	fig	NNS
20165	171	2	.	.	.
20165	172	1	12	12	CD
20165	172	2	and	and	CC
20165	172	3	13	13	CD
20165	172	4	.	.	.
20165	173	1	In	in	IN
20165	173	2	these	these	DT
20165	173	3	two	two	CD
20165	173	4	figures	figure	NNS
20165	173	5	the	the	DT
20165	173	6	difference	difference	NN
20165	173	7	is	be	VBZ
20165	173	8	shown	show	VBN
20165	173	9	between	between	IN
20165	173	10	the	the	DT
20165	173	11	effect	effect	NN
20165	173	12	of	of	IN
20165	173	13	the	the	DT
20165	173	14	short	short	JJ
20165	173	15	-	-	HYPH
20165	173	16	distance	distance	NN
20165	173	17	point	point	NN
20165	173	18	_	_	NNP
20165	173	19	A	A	NNP
20165	173	20	·	·	NFP
20165	173	21	_	_	NNP
20165	173	22	and	and	CC
20165	173	23	the	the	DT
20165	173	24	long	long	JJ
20165	173	25	-	-	HYPH
20165	173	26	distance	distance	NN
20165	173	27	point	point	NN
20165	173	28	_	_	NNP
20165	173	29	B	B	NNP
20165	173	30	·	·	:
20165	173	31	_	_	NNP
20165	173	32	;	;	:
20165	173	33	the	the	DT
20165	173	34	first	first	JJ
20165	173	35	,	,	,
20165	173	36	_	_	NNP
20165	173	37	Acd	Acd	NNP
20165	173	38	_	_	NNP
20165	173	39	,	,	,
20165	173	40	does	do	VBZ
20165	173	41	not	not	RB
20165	173	42	appear	appear	VB
20165	173	43	to	to	TO
20165	173	44	lie	lie	VB
20165	173	45	so	so	RB
20165	173	46	flat	flat	RB
20165	173	47	on	on	IN
20165	173	48	the	the	DT
20165	173	49	ground	ground	NN
20165	173	50	as	as	IN
20165	173	51	the	the	DT
20165	173	52	second	second	JJ
20165	173	53	square	square	NN
20165	173	54	,	,	,
20165	173	55	_	_	NNP
20165	173	56	Bef	Bef	NNP
20165	173	57	_	_	NNP
20165	173	58	.	.	.
20165	174	1	From	from	IN
20165	174	2	this	this	DT
20165	174	3	it	-PRON-	PRP
20165	174	4	will	will	MD
20165	174	5	be	be	VB
20165	174	6	seen	see	VBN
20165	174	7	how	how	WRB
20165	174	8	important	important	JJ
20165	174	9	it	-PRON-	PRP
20165	174	10	is	be	VBZ
20165	174	11	to	to	TO
20165	174	12	choose	choose	VB
20165	174	13	the	the	DT
20165	174	14	right	right	JJ
20165	174	15	point	point	NN
20165	174	16	of	of	IN
20165	174	17	distance	distance	NN
20165	174	18	:	:	:
20165	174	19	if	if	IN
20165	174	20	we	-PRON-	PRP
20165	174	21	take	take	VBP
20165	174	22	it	-PRON-	PRP
20165	174	23	too	too	RB
20165	174	24	near	near	IN
20165	174	25	the	the	DT
20165	174	26	point	point	NN
20165	174	27	of	of	IN
20165	174	28	sight	sight	NN
20165	174	29	,	,	,
20165	174	30	as	as	IN
20165	174	31	in	in	IN
20165	174	32	Fig	Fig	NNP
20165	174	33	.	.	.
20165	175	1	12	12	CD
20165	175	2	,	,	,
20165	175	3	the	the	DT
20165	175	4	square	square	NN
20165	175	5	looks	look	VBZ
20165	175	6	unnatural	unnatural	JJ
20165	175	7	and	and	CC
20165	175	8	distorted	distorted	JJ
20165	175	9	.	.	.
20165	176	1	This	this	DT
20165	176	2	,	,	,
20165	176	3	I	-PRON-	PRP
20165	176	4	may	may	MD
20165	176	5	note	note	VB
20165	176	6	,	,	,
20165	176	7	is	be	VBZ
20165	176	8	a	a	DT
20165	176	9	common	common	JJ
20165	176	10	fault	fault	NN
20165	176	11	with	with	IN
20165	176	12	photographs	photograph	NNS
20165	176	13	taken	take	VBN
20165	176	14	with	with	IN
20165	176	15	a	a	DT
20165	176	16	wide	wide	JJ
20165	176	17	-	-	HYPH
20165	176	18	angle	angle	NN
20165	176	19	lens	lens	NN
20165	176	20	,	,	,
20165	176	21	which	which	WDT
20165	176	22	throws	throw	VBZ
20165	176	23	everything	everything	NN
20165	176	24	out	out	IN
20165	176	25	of	of	IN
20165	176	26	proportion	proportion	NN
20165	176	27	,	,	,
20165	176	28	and	and	CC
20165	176	29	will	will	MD
20165	176	30	make	make	VB
20165	176	31	the	the	DT
20165	176	32	east	east	JJ
20165	176	33	end	end	NN
20165	176	34	of	of	IN
20165	176	35	a	a	DT
20165	176	36	church	church	NN
20165	176	37	or	or	CC
20165	176	38	a	a	DT
20165	176	39	cathedral	cathedral	JJ
20165	176	40	appear	appear	NN
20165	176	41	higher	high	JJR
20165	176	42	than	than	IN
20165	176	43	the	the	DT
20165	176	44	steeple	steeple	NN
20165	176	45	or	or	CC
20165	176	46	tower	tower	NN
20165	176	47	;	;	:
20165	176	48	but	but	CC
20165	176	49	as	as	RB
20165	176	50	soon	soon	RB
20165	176	51	as	as	IN
20165	176	52	we	-PRON-	PRP
20165	176	53	make	make	VBP
20165	176	54	our	-PRON-	PRP$
20165	176	55	line	line	NN
20165	176	56	of	of	IN
20165	176	57	distance	distance	NN
20165	176	58	sufficiently	sufficiently	RB
20165	176	59	long	long	RB
20165	176	60	,	,	,
20165	176	61	as	as	IN
20165	176	62	at	at	IN
20165	176	63	Fig	Fig	NNP
20165	176	64	.	.	.
20165	177	1	13	13	CD
20165	177	2	,	,	,
20165	177	3	objects	object	NNS
20165	177	4	take	take	VBP
20165	177	5	their	-PRON-	PRP$
20165	177	6	right	right	JJ
20165	177	7	proportions	proportion	NNS
20165	177	8	and	and	CC
20165	177	9	no	no	DT
20165	177	10	distortion	distortion	NN
20165	177	11	is	be	VBZ
20165	177	12	noticeable	noticeable	JJ
20165	177	13	.	.	.
20165	178	1	[	[	-LRB-
20165	178	2	Illustration	illustration	NN
20165	178	3	:	:	:
20165	178	4	Fig	Fig	NNP
20165	178	5	.	.	.
20165	179	1	11	11	CD
20165	179	2	.	.	.
20165	179	3	]	]	-RRB-
20165	180	1	[	[	-LRB-
20165	180	2	Illustration	illustration	NN
20165	180	3	:	:	:
20165	180	4	Fig	Fig	NNP
20165	180	5	.	.	.
20165	181	1	12	12	CD
20165	181	2	.	.	.
20165	181	3	]	]	-RRB-
20165	182	1	[	[	-LRB-
20165	182	2	Illustration	illustration	NN
20165	182	3	:	:	:
20165	182	4	Fig	Fig	NNP
20165	182	5	.	.	.
20165	183	1	13	13	CD
20165	183	2	.	.	.
20165	183	3	]	]	-RRB-
20165	184	1	In	in	IN
20165	184	2	some	some	DT
20165	184	3	books	book	NNS
20165	184	4	on	on	IN
20165	184	5	perspective	perspective	NN
20165	184	6	we	-PRON-	PRP
20165	184	7	are	be	VBP
20165	184	8	told	tell	VBN
20165	184	9	to	to	TO
20165	184	10	make	make	VB
20165	184	11	the	the	DT
20165	184	12	angle	angle	NN
20165	184	13	of	of	IN
20165	184	14	vision	vision	NN
20165	184	15	60	60	CD
20165	184	16	°	°	NNS
20165	184	17	,	,	,
20165	184	18	so	so	IN
20165	184	19	that	that	IN
20165	184	20	the	the	DT
20165	184	21	distance	distance	NN
20165	184	22	_	_	NNP
20165	184	23	SD	SD	NNP
20165	184	24	_	_	NNP
20165	184	25	(	(	-LRB-
20165	184	26	Fig	Fig	NNP
20165	184	27	.	.	.
20165	185	1	14	14	CD
20165	185	2	)	)	-RRB-
20165	185	3	is	be	VBZ
20165	185	4	to	to	TO
20165	185	5	be	be	VB
20165	185	6	rather	rather	RB
20165	185	7	less	less	JJR
20165	185	8	than	than	IN
20165	185	9	the	the	DT
20165	185	10	length	length	NN
20165	185	11	or	or	CC
20165	185	12	height	height	NN
20165	185	13	of	of	IN
20165	185	14	the	the	DT
20165	185	15	picture	picture	NN
20165	185	16	,	,	,
20165	185	17	as	as	IN
20165	185	18	at	at	IN
20165	185	19	_	_	NNP
20165	185	20	A	A	NNP
20165	185	21	_	_	NNP
20165	185	22	.	.	.
20165	186	1	The	the	DT
20165	186	2	French	french	JJ
20165	186	3	recommend	recommend	VBP
20165	186	4	an	an	DT
20165	186	5	angle	angle	NN
20165	186	6	of	of	IN
20165	186	7	28	28	CD
20165	186	8	°	°	NNS
20165	186	9	,	,	,
20165	186	10	and	and	CC
20165	186	11	to	to	TO
20165	186	12	make	make	VB
20165	186	13	the	the	DT
20165	186	14	distance	distance	NN
20165	186	15	about	about	IN
20165	186	16	double	double	PDT
20165	186	17	the	the	DT
20165	186	18	length	length	NN
20165	186	19	of	of	IN
20165	186	20	the	the	DT
20165	186	21	picture	picture	NN
20165	186	22	,	,	,
20165	186	23	as	as	IN
20165	186	24	at	at	IN
20165	186	25	_	_	NNP
20165	186	26	B	B	NNP
20165	186	27	_	_	NNP
20165	186	28	(	(	-LRB-
20165	186	29	Fig	Fig	NNP
20165	186	30	.	.	.
20165	187	1	15	15	CD
20165	187	2	)	)	-RRB-
20165	187	3	,	,	,
20165	187	4	which	which	WDT
20165	187	5	is	be	VBZ
20165	187	6	far	far	RB
20165	187	7	more	more	RBR
20165	187	8	agreeable	agreeable	JJ
20165	187	9	.	.	.
20165	188	1	For	for	IN
20165	188	2	we	-PRON-	PRP
20165	188	3	must	must	MD
20165	188	4	remember	remember	VB
20165	188	5	that	that	IN
20165	188	6	the	the	DT
20165	188	7	distance	distance	NN
20165	188	8	-	-	HYPH
20165	188	9	point	point	NN
20165	188	10	is	be	VBZ
20165	188	11	not	not	RB
20165	188	12	only	only	RB
20165	188	13	the	the	DT
20165	188	14	point	point	NN
20165	188	15	from	from	IN
20165	188	16	which	which	WDT
20165	188	17	we	-PRON-	PRP
20165	188	18	are	be	VBP
20165	188	19	supposed	suppose	VBN
20165	188	20	to	to	TO
20165	188	21	make	make	VB
20165	188	22	our	-PRON-	PRP$
20165	188	23	tracing	tracing	NN
20165	188	24	on	on	IN
20165	188	25	the	the	DT
20165	188	26	vertical	vertical	JJ
20165	188	27	transparent	transparent	JJ
20165	188	28	plane	plane	NN
20165	188	29	,	,	,
20165	188	30	or	or	CC
20165	188	31	a	a	DT
20165	188	32	point	point	NN
20165	188	33	transferred	transfer	VBN
20165	188	34	to	to	IN
20165	188	35	the	the	DT
20165	188	36	horizon	horizon	NN
20165	188	37	to	to	TO
20165	188	38	make	make	VB
20165	188	39	our	-PRON-	PRP$
20165	188	40	measurements	measurement	NNS
20165	188	41	by	by	RB
20165	188	42	,	,	,
20165	188	43	but	but	CC
20165	188	44	it	-PRON-	PRP
20165	188	45	is	be	VBZ
20165	188	46	also	also	RB
20165	188	47	the	the	DT
20165	188	48	point	point	NN
20165	188	49	in	in	IN
20165	188	50	front	front	NN
20165	188	51	of	of	IN
20165	188	52	the	the	DT
20165	188	53	canvas	canvas	NN
20165	188	54	that	that	WDT
20165	188	55	we	-PRON-	PRP
20165	188	56	view	view	VBP
20165	188	57	the	the	DT
20165	188	58	picture	picture	NN
20165	188	59	from	from	IN
20165	188	60	,	,	,
20165	188	61	called	call	VBN
20165	188	62	the	the	DT
20165	188	63	station	station	NN
20165	188	64	-	-	HYPH
20165	188	65	point	point	NN
20165	188	66	.	.	.
20165	189	1	It	-PRON-	PRP
20165	189	2	is	be	VBZ
20165	189	3	ridiculous	ridiculous	JJ
20165	189	4	,	,	,
20165	189	5	then	then	RB
20165	189	6	,	,	,
20165	189	7	to	to	TO
20165	189	8	have	have	VB
20165	189	9	it	-PRON-	PRP
20165	189	10	so	so	RB
20165	189	11	close	close	RB
20165	189	12	that	that	IN
20165	189	13	we	-PRON-	PRP
20165	189	14	must	must	MD
20165	189	15	almost	almost	RB
20165	189	16	touch	touch	VB
20165	189	17	the	the	DT
20165	189	18	canvas	canvas	NN
20165	189	19	with	with	IN
20165	189	20	our	-PRON-	PRP$
20165	189	21	noses	nose	NNS
20165	189	22	before	before	IN
20165	189	23	we	-PRON-	PRP
20165	189	24	can	can	MD
20165	189	25	see	see	VB
20165	189	26	its	-PRON-	PRP$
20165	189	27	perspective	perspective	NN
20165	189	28	properly	properly	RB
20165	189	29	.	.	.
20165	190	1	[	[	-LRB-
20165	190	2	Illustration	illustration	NN
20165	190	3	:	:	:
20165	190	4	Fig	Fig	NNP
20165	190	5	.	.	.
20165	191	1	14	14	CD
20165	191	2	.	.	.
20165	191	3	]	]	-RRB-
20165	192	1	Now	now	RB
20165	192	2	a	a	DT
20165	192	3	picture	picture	NN
20165	192	4	should	should	MD
20165	192	5	look	look	VB
20165	192	6	right	right	RB
20165	192	7	from	from	IN
20165	192	8	whatever	whatever	WDT
20165	192	9	distance	distance	NN
20165	192	10	we	-PRON-	PRP
20165	192	11	view	view	VBP
20165	192	12	it	-PRON-	PRP
20165	192	13	,	,	,
20165	192	14	even	even	RB
20165	192	15	across	across	IN
20165	192	16	the	the	DT
20165	192	17	room	room	NN
20165	192	18	or	or	CC
20165	192	19	gallery	gallery	NN
20165	192	20	,	,	,
20165	192	21	and	and	CC
20165	192	22	of	of	IN
20165	192	23	course	course	NN
20165	192	24	in	in	IN
20165	192	25	decorative	decorative	JJ
20165	192	26	work	work	NN
20165	192	27	and	and	CC
20165	192	28	in	in	IN
20165	192	29	scene	scene	NN
20165	192	30	-	-	HYPH
20165	192	31	painting	paint	VBG
20165	192	32	a	a	DT
20165	192	33	long	long	JJ
20165	192	34	distance	distance	NN
20165	192	35	is	be	VBZ
20165	192	36	necessary	necessary	JJ
20165	192	37	.	.	.
20165	193	1	[	[	-LRB-
20165	193	2	Illustration	illustration	NN
20165	193	3	:	:	:
20165	193	4	Fig	Fig	NNP
20165	193	5	.	.	.
20165	194	1	15	15	CD
20165	194	2	.	.	.
20165	194	3	]	]	-RRB-
20165	195	1	We	-PRON-	PRP
20165	195	2	need	need	VBP
20165	195	3	not	not	RB
20165	195	4	,	,	,
20165	195	5	however	however	RB
20165	195	6	,	,	,
20165	195	7	tie	tie	VB
20165	195	8	ourselves	-PRON-	PRP
20165	195	9	down	down	RP
20165	195	10	to	to	IN
20165	195	11	any	any	DT
20165	195	12	hard	hard	JJ
20165	195	13	and	and	CC
20165	195	14	fast	fast	JJ
20165	195	15	rule	rule	NN
20165	195	16	,	,	,
20165	195	17	but	but	CC
20165	195	18	should	should	MD
20165	195	19	choose	choose	VB
20165	195	20	our	-PRON-	PRP$
20165	195	21	distance	distance	NN
20165	195	22	according	accord	VBG
20165	195	23	to	to	IN
20165	195	24	the	the	DT
20165	195	25	impression	impression	NN
20165	195	26	of	of	IN
20165	195	27	space	space	NN
20165	195	28	we	-PRON-	PRP
20165	195	29	wish	wish	VBP
20165	195	30	to	to	TO
20165	195	31	convey	convey	VB
20165	195	32	:	:	:
20165	195	33	if	if	IN
20165	195	34	we	-PRON-	PRP
20165	195	35	have	have	VBP
20165	195	36	to	to	TO
20165	195	37	represent	represent	VB
20165	195	38	a	a	DT
20165	195	39	domestic	domestic	JJ
20165	195	40	scene	scene	NN
20165	195	41	in	in	IN
20165	195	42	a	a	DT
20165	195	43	small	small	JJ
20165	195	44	room	room	NN
20165	195	45	,	,	,
20165	195	46	as	as	IN
20165	195	47	in	in	IN
20165	195	48	many	many	JJ
20165	195	49	Dutch	dutch	JJ
20165	195	50	pictures	picture	NNS
20165	195	51	,	,	,
20165	195	52	we	-PRON-	PRP
20165	195	53	must	must	MD
20165	195	54	not	not	RB
20165	195	55	make	make	VB
20165	195	56	our	-PRON-	PRP$
20165	195	57	distance	distance	NN
20165	195	58	-	-	HYPH
20165	195	59	point	point	NN
20165	195	60	too	too	RB
20165	195	61	far	far	RB
20165	195	62	off	off	RB
20165	195	63	,	,	,
20165	195	64	as	as	IN
20165	195	65	it	-PRON-	PRP
20165	195	66	would	would	MD
20165	195	67	exaggerate	exaggerate	VB
20165	195	68	the	the	DT
20165	195	69	size	size	NN
20165	195	70	of	of	IN
20165	195	71	the	the	DT
20165	195	72	room	room	NN
20165	195	73	.	.	.
20165	196	1	[	[	-LRB-
20165	196	2	Illustration	illustration	NN
20165	196	3	:	:	:
20165	196	4	Fig	Fig	NNP
20165	196	5	.	.	.
20165	197	1	16	16	CD
20165	197	2	.	.	.
20165	198	1	Cattle	Cattle	NNS
20165	198	2	.	.	.
20165	199	1	By	by	IN
20165	199	2	Paul	Paul	NNP
20165	199	3	Potter	Potter	NNP
20165	199	4	.	.	.
20165	199	5	]	]	-RRB-
20165	200	1	The	the	DT
20165	200	2	height	height	NN
20165	200	3	of	of	IN
20165	200	4	the	the	DT
20165	200	5	horizon	horizon	NN
20165	200	6	is	be	VBZ
20165	200	7	also	also	RB
20165	200	8	an	an	DT
20165	200	9	important	important	JJ
20165	200	10	consideration	consideration	NN
20165	200	11	in	in	IN
20165	200	12	the	the	DT
20165	200	13	composition	composition	NN
20165	200	14	of	of	IN
20165	200	15	a	a	DT
20165	200	16	picture	picture	NN
20165	200	17	,	,	,
20165	200	18	and	and	CC
20165	200	19	so	so	RB
20165	200	20	also	also	RB
20165	200	21	is	be	VBZ
20165	200	22	the	the	DT
20165	200	23	position	position	NN
20165	200	24	of	of	IN
20165	200	25	the	the	DT
20165	200	26	point	point	NN
20165	200	27	of	of	IN
20165	200	28	sight	sight	NN
20165	200	29	,	,	,
20165	200	30	as	as	IN
20165	200	31	we	-PRON-	PRP
20165	200	32	shall	shall	MD
20165	200	33	see	see	VB
20165	200	34	farther	farther	RB
20165	200	35	on	on	RB
20165	200	36	.	.	.
20165	201	1	In	in	IN
20165	201	2	landscape	landscape	NN
20165	201	3	and	and	CC
20165	201	4	cattle	cattle	NNS
20165	201	5	pictures	picture	VBZ
20165	201	6	a	a	DT
20165	201	7	low	low	JJ
20165	201	8	horizon	horizon	NN
20165	201	9	often	often	RB
20165	201	10	gives	give	VBZ
20165	201	11	space	space	NN
20165	201	12	and	and	CC
20165	201	13	air	air	NN
20165	201	14	,	,	,
20165	201	15	as	as	IN
20165	201	16	in	in	IN
20165	201	17	this	this	DT
20165	201	18	sketch	sketch	NN
20165	201	19	from	from	IN
20165	201	20	a	a	DT
20165	201	21	picture	picture	NN
20165	201	22	by	by	IN
20165	201	23	Paul	Paul	NNP
20165	201	24	Potter	Potter	NNP
20165	201	25	--	--	:
20165	201	26	where	where	WRB
20165	201	27	the	the	DT
20165	201	28	horizontal	horizontal	JJ
20165	201	29	-	-	HYPH
20165	201	30	line	line	NN
20165	201	31	is	be	VBZ
20165	201	32	placed	place	VBN
20165	201	33	at	at	IN
20165	201	34	one	one	CD
20165	201	35	quarter	quarter	NN
20165	201	36	the	the	DT
20165	201	37	height	height	NN
20165	201	38	of	of	IN
20165	201	39	the	the	DT
20165	201	40	canvas	canvas	NN
20165	201	41	.	.	.
20165	202	1	Indeed	indeed	RB
20165	202	2	,	,	,
20165	202	3	a	a	DT
20165	202	4	judicious	judicious	JJ
20165	202	5	use	use	NN
20165	202	6	of	of	IN
20165	202	7	the	the	DT
20165	202	8	laws	law	NNS
20165	202	9	of	of	IN
20165	202	10	perspective	perspective	NN
20165	202	11	is	be	VBZ
20165	202	12	a	a	DT
20165	202	13	great	great	JJ
20165	202	14	aid	aid	NN
20165	202	15	to	to	IN
20165	202	16	composition	composition	NN
20165	202	17	,	,	,
20165	202	18	and	and	CC
20165	202	19	no	no	DT
20165	202	20	picture	picture	NN
20165	202	21	ever	ever	RB
20165	202	22	looks	look	VBZ
20165	202	23	right	right	JJ
20165	202	24	unless	unless	IN
20165	202	25	these	these	DT
20165	202	26	laws	law	NNS
20165	202	27	are	be	VBP
20165	202	28	attended	attend	VBN
20165	202	29	to	to	TO
20165	202	30	.	.	.
20165	203	1	At	at	IN
20165	203	2	the	the	DT
20165	203	3	present	present	JJ
20165	203	4	time	time	NN
20165	203	5	too	too	RB
20165	203	6	little	little	JJ
20165	203	7	attention	attention	NN
20165	203	8	is	be	VBZ
20165	203	9	paid	pay	VBN
20165	203	10	to	to	IN
20165	203	11	them	-PRON-	PRP
20165	203	12	;	;	:
20165	203	13	the	the	DT
20165	203	14	consequence	consequence	NN
20165	203	15	is	be	VBZ
20165	203	16	that	that	IN
20165	203	17	much	much	JJ
20165	203	18	of	of	IN
20165	203	19	the	the	DT
20165	203	20	art	art	NN
20165	203	21	of	of	IN
20165	203	22	the	the	DT
20165	203	23	day	day	NN
20165	203	24	reflects	reflect	VBZ
20165	203	25	in	in	IN
20165	203	26	a	a	DT
20165	203	27	great	great	JJ
20165	203	28	measure	measure	NN
20165	203	29	the	the	DT
20165	203	30	monotony	monotony	NN
20165	203	31	of	of	IN
20165	203	32	the	the	DT
20165	203	33	snap	snap	VB
20165	203	34	-	-	HYPH
20165	203	35	shot	shot	NN
20165	203	36	camera	camera	NN
20165	203	37	,	,	,
20165	203	38	with	with	IN
20165	203	39	its	-PRON-	PRP$
20165	203	40	everyday	everyday	NN
20165	203	41	and	and	CC
20165	203	42	wearisome	wearisome	VBD
20165	203	43	commonplace	commonplace	JJ
20165	203	44	.	.	.
20165	204	1	IV	IV	NNP
20165	204	2	PERSPECTIVE	perspective	NN
20165	204	3	OF	of	IN
20165	204	4	A	a	DT
20165	204	5	POINT	POINT	NNS
20165	204	6	,	,	,
20165	204	7	VISUAL	visual	NN
20165	204	8	RAYS	ray	NNS
20165	204	9	,	,	,
20165	204	10	&	&	CC
20165	204	11	C.	C.	NNP
20165	204	12	We	-PRON-	PRP
20165	204	13	perceive	perceive	VBP
20165	204	14	objects	object	NNS
20165	204	15	by	by	IN
20165	204	16	means	mean	NNS
20165	204	17	of	of	IN
20165	204	18	the	the	DT
20165	204	19	visual	visual	JJ
20165	204	20	rays	ray	NNS
20165	204	21	,	,	,
20165	204	22	which	which	WDT
20165	204	23	are	be	VBP
20165	204	24	imaginary	imaginary	JJ
20165	204	25	straight	straight	JJ
20165	204	26	lines	line	NNS
20165	204	27	drawn	draw	VBN
20165	204	28	from	from	IN
20165	204	29	the	the	DT
20165	204	30	eye	eye	NN
20165	204	31	to	to	IN
20165	204	32	the	the	DT
20165	204	33	various	various	JJ
20165	204	34	points	point	NNS
20165	204	35	of	of	IN
20165	204	36	the	the	DT
20165	204	37	thing	thing	NN
20165	204	38	we	-PRON-	PRP
20165	204	39	are	be	VBP
20165	204	40	looking	look	VBG
20165	204	41	at	at	IN
20165	204	42	.	.	.
20165	205	1	As	as	IN
20165	205	2	those	those	DT
20165	205	3	rays	ray	NNS
20165	205	4	proceed	proceed	VBP
20165	205	5	from	from	IN
20165	205	6	the	the	DT
20165	205	7	pupil	pupil	NN
20165	205	8	of	of	IN
20165	205	9	the	the	DT
20165	205	10	eye	eye	NN
20165	205	11	,	,	,
20165	205	12	which	which	WDT
20165	205	13	is	be	VBZ
20165	205	14	a	a	DT
20165	205	15	circular	circular	JJ
20165	205	16	opening	opening	NN
20165	205	17	,	,	,
20165	205	18	they	-PRON-	PRP
20165	205	19	form	form	VBP
20165	205	20	themselves	-PRON-	PRP
20165	205	21	into	into	IN
20165	205	22	a	a	DT
20165	205	23	cone	cone	NN
20165	205	24	called	call	VBN
20165	205	25	the	the	DT
20165	205	26	+	+	NNP
20165	205	27	Optic	Optic	NNP
20165	205	28	Cone+	Cone+	NNP
20165	205	29	,	,	,
20165	205	30	the	the	DT
20165	205	31	base	base	NN
20165	205	32	of	of	IN
20165	205	33	which	which	WDT
20165	205	34	increases	increase	VBZ
20165	205	35	in	in	IN
20165	205	36	proportion	proportion	NN
20165	205	37	to	to	IN
20165	205	38	its	-PRON-	PRP$
20165	205	39	distance	distance	NN
20165	205	40	from	from	IN
20165	205	41	the	the	DT
20165	205	42	eye	eye	NN
20165	205	43	,	,	,
20165	205	44	so	so	IN
20165	205	45	that	that	IN
20165	205	46	the	the	DT
20165	205	47	larger	large	JJR
20165	205	48	the	the	DT
20165	205	49	view	view	NN
20165	205	50	which	which	WDT
20165	205	51	we	-PRON-	PRP
20165	205	52	wish	wish	VBP
20165	205	53	to	to	TO
20165	205	54	take	take	VB
20165	205	55	in	in	RP
20165	205	56	,	,	,
20165	205	57	the	the	DT
20165	205	58	farther	farther	RB
20165	205	59	must	must	MD
20165	205	60	we	-PRON-	PRP
20165	205	61	be	be	VB
20165	205	62	removed	remove	VBN
20165	205	63	from	from	IN
20165	205	64	it	-PRON-	PRP
20165	205	65	.	.	.
20165	206	1	The	the	DT
20165	206	2	diameter	diameter	NN
20165	206	3	of	of	IN
20165	206	4	the	the	DT
20165	206	5	base	base	NN
20165	206	6	of	of	IN
20165	206	7	this	this	DT
20165	206	8	cone	cone	NN
20165	206	9	,	,	,
20165	206	10	with	with	IN
20165	206	11	the	the	DT
20165	206	12	visual	visual	JJ
20165	206	13	rays	ray	NNS
20165	206	14	drawn	draw	VBN
20165	206	15	from	from	IN
20165	206	16	each	each	DT
20165	206	17	of	of	IN
20165	206	18	its	-PRON-	PRP$
20165	206	19	extremities	extremity	NNS
20165	206	20	to	to	IN
20165	206	21	the	the	DT
20165	206	22	eye	eye	NN
20165	206	23	,	,	,
20165	206	24	form	form	VB
20165	206	25	the	the	DT
20165	206	26	angle	angle	NN
20165	206	27	of	of	IN
20165	206	28	vision	vision	NN
20165	206	29	,	,	,
20165	206	30	which	which	WDT
20165	206	31	is	be	VBZ
20165	206	32	wider	wide	JJR
20165	206	33	or	or	CC
20165	206	34	narrower	narrower	RBR
20165	206	35	according	accord	VBG
20165	206	36	to	to	IN
20165	206	37	the	the	DT
20165	206	38	distance	distance	NN
20165	206	39	of	of	IN
20165	206	40	this	this	DT
20165	206	41	diameter	diameter	NN
20165	206	42	.	.	.
20165	207	1	Now	now	RB
20165	207	2	let	let	VB
20165	207	3	us	-PRON-	PRP
20165	207	4	suppose	suppose	VB
20165	207	5	a	a	DT
20165	207	6	visual	visual	JJ
20165	207	7	ray	ray	NN
20165	207	8	_	_	NNP
20165	207	9	EA	EA	NNP
20165	207	10	_	_	NNP
20165	207	11	to	to	TO
20165	207	12	be	be	VB
20165	207	13	directed	direct	VBN
20165	207	14	to	to	IN
20165	207	15	some	some	DT
20165	207	16	small	small	JJ
20165	207	17	object	object	NN
20165	207	18	on	on	IN
20165	207	19	the	the	DT
20165	207	20	floor	floor	NN
20165	207	21	,	,	,
20165	207	22	say	say	VBP
20165	207	23	the	the	DT
20165	207	24	head	head	NN
20165	207	25	of	of	IN
20165	207	26	a	a	DT
20165	207	27	nail	nail	NN
20165	207	28	,	,	,
20165	207	29	_	_	NNP
20165	207	30	A	A	NNP
20165	207	31	_	_	NNP
20165	207	32	(	(	-LRB-
20165	207	33	Fig	fig	NN
20165	207	34	.	.	.
20165	208	1	17	17	CD
20165	208	2	)	)	-RRB-
20165	208	3	.	.	.
20165	209	1	If	if	IN
20165	209	2	we	-PRON-	PRP
20165	209	3	interpose	interpose	VBP
20165	209	4	between	between	IN
20165	209	5	this	this	DT
20165	209	6	nail	nail	NN
20165	209	7	and	and	CC
20165	209	8	our	-PRON-	PRP$
20165	209	9	eye	eye	NN
20165	209	10	a	a	DT
20165	209	11	sheet	sheet	NN
20165	209	12	of	of	IN
20165	209	13	glass	glass	NN
20165	209	14	,	,	,
20165	209	15	_	_	NNP
20165	209	16	K	K	NNP
20165	209	17	_	_	NNP
20165	209	18	,	,	,
20165	209	19	placed	place	VBN
20165	209	20	vertically	vertically	RB
20165	209	21	on	on	IN
20165	209	22	the	the	DT
20165	209	23	floor	floor	NN
20165	209	24	,	,	,
20165	209	25	we	-PRON-	PRP
20165	209	26	continue	continue	VBP
20165	209	27	to	to	TO
20165	209	28	see	see	VB
20165	209	29	the	the	DT
20165	209	30	nail	nail	NN
20165	209	31	through	through	IN
20165	209	32	the	the	DT
20165	209	33	glass	glass	NN
20165	209	34	,	,	,
20165	209	35	and	and	CC
20165	209	36	it	-PRON-	PRP
20165	209	37	is	be	VBZ
20165	209	38	easily	easily	RB
20165	209	39	understood	understand	VBN
20165	209	40	that	that	IN
20165	209	41	its	-PRON-	PRP$
20165	209	42	perspective	perspective	JJ
20165	209	43	appearance	appearance	NN
20165	209	44	thereon	thereon	NN
20165	209	45	is	be	VBZ
20165	209	46	the	the	DT
20165	209	47	point	point	NN
20165	209	48	_	_	NNP
20165	209	49	a	a	DT
20165	209	50	_	_	NNP
20165	209	51	,	,	,
20165	209	52	where	where	WRB
20165	209	53	the	the	DT
20165	209	54	visual	visual	JJ
20165	209	55	ray	ray	NN
20165	209	56	passes	pass	VBZ
20165	209	57	through	through	IN
20165	209	58	it	-PRON-	PRP
20165	209	59	.	.	.
20165	210	1	If	if	IN
20165	210	2	now	now	RB
20165	210	3	we	-PRON-	PRP
20165	210	4	trace	trace	VBP
20165	210	5	on	on	IN
20165	210	6	the	the	DT
20165	210	7	floor	floor	NN
20165	210	8	a	a	DT
20165	210	9	line	line	NN
20165	210	10	_	_	NNP
20165	210	11	AB	AB	NNP
20165	210	12	_	_	NNP
20165	210	13	from	from	IN
20165	210	14	the	the	DT
20165	210	15	nail	nail	NN
20165	210	16	to	to	IN
20165	210	17	the	the	DT
20165	210	18	spot	spot	NN
20165	210	19	_	_	NNP
20165	210	20	B	B	NNP
20165	210	21	_	_	NNP
20165	210	22	,	,	,
20165	210	23	just	just	RB
20165	210	24	under	under	IN
20165	210	25	the	the	DT
20165	210	26	eye	eye	NN
20165	210	27	,	,	,
20165	210	28	and	and	CC
20165	210	29	from	from	IN
20165	210	30	the	the	DT
20165	210	31	point	point	NN
20165	210	32	_	_	NNP
20165	210	33	o	o	XX
20165	210	34	_	_	NNP
20165	210	35	,	,	,
20165	210	36	where	where	WRB
20165	210	37	this	this	DT
20165	210	38	line	line	NN
20165	210	39	passes	pass	VBZ
20165	210	40	through	through	RP
20165	210	41	or	or	CC
20165	210	42	under	under	IN
20165	210	43	the	the	DT
20165	210	44	glass	glass	NN
20165	210	45	,	,	,
20165	210	46	we	-PRON-	PRP
20165	210	47	raise	raise	VBP
20165	210	48	a	a	DT
20165	210	49	perpendicular	perpendicular	JJ
20165	210	50	_	_	NNP
20165	210	51	oS	oS	NNP
20165	210	52	_	_	NNP
20165	210	53	,	,	,
20165	210	54	that	that	DT
20165	210	55	perpendicular	perpendicular	NN
20165	210	56	passes	pass	VBZ
20165	210	57	through	through	IN
20165	210	58	the	the	DT
20165	210	59	precise	precise	JJ
20165	210	60	point	point	NN
20165	210	61	that	that	IN
20165	210	62	the	the	DT
20165	210	63	visual	visual	JJ
20165	210	64	ray	ray	NN
20165	210	65	passes	pass	VBZ
20165	210	66	through	through	RP
20165	210	67	.	.	.
20165	211	1	The	the	DT
20165	211	2	line	line	NN
20165	211	3	_	_	NNP
20165	211	4	AB	AB	NNP
20165	211	5	_	_	NNP
20165	211	6	traced	trace	VBD
20165	211	7	on	on	IN
20165	211	8	the	the	DT
20165	211	9	floor	floor	NN
20165	211	10	is	be	VBZ
20165	211	11	the	the	DT
20165	211	12	horizontal	horizontal	JJ
20165	211	13	trace	trace	NN
20165	211	14	of	of	IN
20165	211	15	the	the	DT
20165	211	16	visual	visual	JJ
20165	211	17	ray	ray	NN
20165	211	18	,	,	,
20165	211	19	and	and	CC
20165	211	20	it	-PRON-	PRP
20165	211	21	will	will	MD
20165	211	22	be	be	VB
20165	211	23	seen	see	VBN
20165	211	24	that	that	IN
20165	211	25	the	the	DT
20165	211	26	point	point	NN
20165	211	27	_	_	NNP
20165	211	28	a	a	DT
20165	211	29	_	_	NNP
20165	211	30	is	be	VBZ
20165	211	31	situated	situate	VBN
20165	211	32	on	on	IN
20165	211	33	the	the	DT
20165	211	34	vertical	vertical	NN
20165	211	35	raised	raise	VBN
20165	211	36	from	from	IN
20165	211	37	this	this	DT
20165	211	38	horizontal	horizontal	JJ
20165	211	39	trace	trace	NN
20165	211	40	.	.	.
20165	212	1	[	[	-LRB-
20165	212	2	Illustration	illustration	NN
20165	212	3	:	:	:
20165	212	4	Fig	Fig	NNP
20165	212	5	.	.	.
20165	213	1	17	17	CD
20165	213	2	.	.	.
20165	213	3	]	]	-RRB-
20165	214	1	V	v	NN
20165	214	2	TRACE	trace	NN
20165	214	3	AND	and	CC
20165	214	4	PROJECTION	projection	NN
20165	214	5	If	if	IN
20165	214	6	from	from	IN
20165	214	7	any	any	DT
20165	214	8	line	line	NN
20165	214	9	_	_	NNP
20165	214	10	A	A	NNP
20165	214	11	_	_	NNP
20165	214	12	or	or	CC
20165	214	13	_	_	NNP
20165	214	14	B	B	NNP
20165	214	15	_	_	NNP
20165	214	16	or	or	CC
20165	214	17	_	_	NNP
20165	214	18	C	C	NNP
20165	214	19	_	_	NNP
20165	214	20	(	(	-LRB-
20165	214	21	Fig	Fig	NNP
20165	214	22	.	.	.
20165	215	1	18	18	CD
20165	215	2	)	)	-RRB-
20165	215	3	,	,	,
20165	215	4	&	&	CC
20165	215	5	c.	c.	NNP
20165	215	6	,	,	,
20165	215	7	we	-PRON-	PRP
20165	215	8	drop	drop	VBP
20165	215	9	perpendiculars	perpendicular	NNS
20165	215	10	from	from	IN
20165	215	11	different	different	JJ
20165	215	12	points	point	NNS
20165	215	13	of	of	IN
20165	215	14	those	those	DT
20165	215	15	lines	line	NNS
20165	215	16	on	on	IN
20165	215	17	to	to	IN
20165	215	18	a	a	DT
20165	215	19	horizontal	horizontal	JJ
20165	215	20	plane	plane	NN
20165	215	21	,	,	,
20165	215	22	the	the	DT
20165	215	23	intersections	intersection	NNS
20165	215	24	of	of	IN
20165	215	25	those	those	DT
20165	215	26	verticals	vertical	NNS
20165	215	27	with	with	IN
20165	215	28	the	the	DT
20165	215	29	plane	plane	NN
20165	215	30	will	will	MD
20165	215	31	be	be	VB
20165	215	32	on	on	IN
20165	215	33	a	a	DT
20165	215	34	line	line	NN
20165	215	35	called	call	VBN
20165	215	36	the	the	DT
20165	215	37	horizontal	horizontal	JJ
20165	215	38	trace	trace	NN
20165	215	39	or	or	CC
20165	215	40	projection	projection	NN
20165	215	41	of	of	IN
20165	215	42	the	the	DT
20165	215	43	original	original	JJ
20165	215	44	line	line	NN
20165	215	45	.	.	.
20165	216	1	We	-PRON-	PRP
20165	216	2	may	may	MD
20165	216	3	liken	liken	VB
20165	216	4	these	these	DT
20165	216	5	projections	projection	NNS
20165	216	6	to	to	IN
20165	216	7	sun	sun	NN
20165	216	8	-	-	HYPH
20165	216	9	shadows	shadow	NNS
20165	216	10	when	when	WRB
20165	216	11	the	the	DT
20165	216	12	sun	sun	NN
20165	216	13	is	be	VBZ
20165	216	14	in	in	IN
20165	216	15	the	the	DT
20165	216	16	meridian	meridian	NN
20165	216	17	,	,	,
20165	216	18	for	for	IN
20165	216	19	it	-PRON-	PRP
20165	216	20	will	will	MD
20165	216	21	be	be	VB
20165	216	22	remarked	remark	VBN
20165	216	23	that	that	IN
20165	216	24	the	the	DT
20165	216	25	trace	trace	NN
20165	216	26	does	do	VBZ
20165	216	27	not	not	RB
20165	216	28	represent	represent	VB
20165	216	29	the	the	DT
20165	216	30	length	length	NN
20165	216	31	of	of	IN
20165	216	32	the	the	DT
20165	216	33	original	original	JJ
20165	216	34	line	line	NN
20165	216	35	,	,	,
20165	216	36	but	but	CC
20165	216	37	only	only	RB
20165	216	38	so	so	RB
20165	216	39	much	much	JJ
20165	216	40	of	of	IN
20165	216	41	it	-PRON-	PRP
20165	216	42	as	as	IN
20165	216	43	would	would	MD
20165	216	44	be	be	VB
20165	216	45	embraced	embrace	VBN
20165	216	46	by	by	IN
20165	216	47	the	the	DT
20165	216	48	verticals	vertical	NNS
20165	216	49	dropped	drop	VBD
20165	216	50	from	from	IN
20165	216	51	each	each	DT
20165	216	52	end	end	NN
20165	216	53	of	of	IN
20165	216	54	it	-PRON-	PRP
20165	216	55	,	,	,
20165	216	56	and	and	CC
20165	216	57	although	although	IN
20165	216	58	line	line	NN
20165	216	59	_	_	NNP
20165	216	60	A	A	NNP
20165	216	61	_	_	NNP
20165	216	62	is	be	VBZ
20165	216	63	the	the	DT
20165	216	64	same	same	JJ
20165	216	65	length	length	NN
20165	216	66	as	as	IN
20165	216	67	line	line	NN
20165	216	68	_	_	NNP
20165	216	69	B	B	NNP
20165	216	70	_	_	NNP
20165	216	71	its	-PRON-	PRP$
20165	216	72	horizontal	horizontal	JJ
20165	216	73	trace	trace	NN
20165	216	74	is	be	VBZ
20165	216	75	longer	long	JJR
20165	216	76	than	than	IN
20165	216	77	that	that	DT
20165	216	78	of	of	IN
20165	216	79	the	the	DT
20165	216	80	other	other	JJ
20165	216	81	;	;	:
20165	216	82	that	that	IN
20165	216	83	the	the	DT
20165	216	84	projection	projection	NN
20165	216	85	of	of	IN
20165	216	86	a	a	DT
20165	216	87	curve	curve	NN
20165	216	88	(	(	-LRB-
20165	216	89	_	_	NNP
20165	216	90	C	C	NNP
20165	216	91	_	_	NNP
20165	216	92	)	)	-RRB-
20165	216	93	in	in	IN
20165	216	94	this	this	DT
20165	216	95	upright	upright	JJ
20165	216	96	position	position	NN
20165	216	97	is	be	VBZ
20165	216	98	a	a	DT
20165	216	99	straight	straight	JJ
20165	216	100	line	line	NN
20165	216	101	,	,	,
20165	216	102	that	that	DT
20165	216	103	of	of	IN
20165	216	104	a	a	DT
20165	216	105	horizontal	horizontal	JJ
20165	216	106	line	line	NN
20165	216	107	(	(	-LRB-
20165	216	108	_	_	NNP
20165	216	109	D	D	NNP
20165	216	110	_	_	NNP
20165	216	111	)	)	-RRB-
20165	216	112	is	be	VBZ
20165	216	113	equal	equal	JJ
20165	216	114	to	to	IN
20165	216	115	it	-PRON-	PRP
20165	216	116	,	,	,
20165	216	117	and	and	CC
20165	216	118	the	the	DT
20165	216	119	projection	projection	NN
20165	216	120	of	of	IN
20165	216	121	a	a	DT
20165	216	122	perpendicular	perpendicular	JJ
20165	216	123	or	or	CC
20165	216	124	vertical	vertical	JJ
20165	216	125	(	(	-LRB-
20165	216	126	_	_	NNP
20165	216	127	E	E	NNP
20165	216	128	_	_	NNP
20165	216	129	)	)	-RRB-
20165	216	130	is	be	VBZ
20165	216	131	a	a	DT
20165	216	132	point	point	NN
20165	216	133	only	only	RB
20165	216	134	.	.	.
20165	217	1	The	the	DT
20165	217	2	projections	projection	NNS
20165	217	3	of	of	IN
20165	217	4	lines	line	NNS
20165	217	5	or	or	CC
20165	217	6	points	point	NNS
20165	217	7	can	can	MD
20165	217	8	likewise	likewise	RB
20165	217	9	be	be	VB
20165	217	10	shown	show	VBN
20165	217	11	on	on	IN
20165	217	12	a	a	DT
20165	217	13	vertical	vertical	JJ
20165	217	14	plane	plane	NN
20165	217	15	,	,	,
20165	217	16	but	but	CC
20165	217	17	in	in	IN
20165	217	18	that	that	DT
20165	217	19	case	case	NN
20165	217	20	we	-PRON-	PRP
20165	217	21	draw	draw	VBP
20165	217	22	lines	line	NNS
20165	217	23	parallel	parallel	JJ
20165	217	24	to	to	IN
20165	217	25	the	the	DT
20165	217	26	horizontal	horizontal	JJ
20165	217	27	plane	plane	NN
20165	217	28	,	,	,
20165	217	29	and	and	CC
20165	217	30	by	by	IN
20165	217	31	this	this	DT
20165	217	32	means	mean	VBZ
20165	217	33	we	-PRON-	PRP
20165	217	34	can	can	MD
20165	217	35	get	get	VB
20165	217	36	the	the	DT
20165	217	37	position	position	NN
20165	217	38	of	of	IN
20165	217	39	a	a	DT
20165	217	40	point	point	NN
20165	217	41	in	in	IN
20165	217	42	space	space	NN
20165	217	43	;	;	:
20165	217	44	and	and	CC
20165	217	45	by	by	IN
20165	217	46	the	the	DT
20165	217	47	assistance	assistance	NN
20165	217	48	of	of	IN
20165	217	49	perspective	perspective	NN
20165	217	50	,	,	,
20165	217	51	as	as	IN
20165	217	52	will	will	MD
20165	217	53	be	be	VB
20165	217	54	shown	show	VBN
20165	217	55	farther	farther	RB
20165	217	56	on	on	RB
20165	217	57	,	,	,
20165	217	58	we	-PRON-	PRP
20165	217	59	can	can	MD
20165	217	60	carry	carry	VB
20165	217	61	out	out	RP
20165	217	62	the	the	DT
20165	217	63	most	most	RBS
20165	217	64	difficult	difficult	JJ
20165	217	65	propositions	proposition	NNS
20165	217	66	of	of	IN
20165	217	67	descriptive	descriptive	JJ
20165	217	68	geometry	geometry	NN
20165	217	69	and	and	CC
20165	217	70	of	of	IN
20165	217	71	the	the	DT
20165	217	72	geometry	geometry	NN
20165	217	73	of	of	IN
20165	217	74	planes	plane	NNS
20165	217	75	and	and	CC
20165	217	76	solids	solid	NNS
20165	217	77	.	.	.
20165	218	1	[	[	-LRB-
20165	218	2	Illustration	illustration	NN
20165	218	3	:	:	:
20165	218	4	Fig	Fig	NNP
20165	218	5	.	.	.
20165	219	1	18	18	CD
20165	219	2	.	.	.
20165	219	3	]	]	-RRB-
20165	220	1	The	the	DT
20165	220	2	position	position	NN
20165	220	3	of	of	IN
20165	220	4	a	a	DT
20165	220	5	point	point	NN
20165	220	6	in	in	IN
20165	220	7	space	space	NN
20165	220	8	is	be	VBZ
20165	220	9	given	give	VBN
20165	220	10	by	by	IN
20165	220	11	its	-PRON-	PRP$
20165	220	12	projection	projection	NN
20165	220	13	on	on	IN
20165	220	14	a	a	DT
20165	220	15	vertical	vertical	JJ
20165	220	16	and	and	CC
20165	220	17	a	a	DT
20165	220	18	horizontal	horizontal	JJ
20165	220	19	plane--	plane--	NN
20165	220	20	[	[	-LRB-
20165	220	21	Illustration	illustration	NN
20165	220	22	:	:	:
20165	220	23	Fig	Fig	NNP
20165	220	24	.	.	.
20165	221	1	19	19	CD
20165	221	2	.	.	.
20165	221	3	]	]	-RRB-
20165	222	1	Thus	thus	RB
20165	222	2	_	_	NNP
20165	222	3	e	e	NNP
20165	222	4	·	·	NFP
20165	222	5	_	_	NNP
20165	222	6	is	be	VBZ
20165	222	7	the	the	DT
20165	222	8	projection	projection	NN
20165	222	9	of	of	IN
20165	222	10	_	_	NNP
20165	222	11	E	E	NNP
20165	222	12	_	_	NNP
20165	222	13	on	on	IN
20165	222	14	the	the	DT
20165	222	15	vertical	vertical	JJ
20165	222	16	plane	plane	NN
20165	222	17	_	_	NNP
20165	222	18	K	K	NNP
20165	222	19	_	_	NNP
20165	222	20	,	,	,
20165	222	21	and	and	CC
20165	222	22	_	_	NNP
20165	222	23	e	e	NNP
20165	222	24	·	·	NFP
20165	222	25	·	·	NFP
20165	222	26	_	_	NNP
20165	222	27	is	be	VBZ
20165	222	28	the	the	DT
20165	222	29	projection	projection	NN
20165	222	30	of	of	IN
20165	222	31	_	_	NNP
20165	222	32	E	E	NNP
20165	222	33	_	_	NNP
20165	222	34	on	on	IN
20165	222	35	the	the	DT
20165	222	36	horizontal	horizontal	JJ
20165	222	37	plane	plane	NN
20165	222	38	;	;	:
20165	222	39	_	_	NNP
20165	222	40	fe	fe	FW
20165	222	41	·	·	NFP
20165	222	42	·	·	NFP
20165	222	43	_	_	NNP
20165	222	44	is	be	VBZ
20165	222	45	the	the	DT
20165	222	46	horizontal	horizontal	JJ
20165	222	47	trace	trace	NN
20165	222	48	of	of	IN
20165	222	49	the	the	DT
20165	222	50	plane	plane	NN
20165	222	51	_	_	NNP
20165	222	52	fE	fE	NNP
20165	222	53	_	_	NNP
20165	222	54	,	,	,
20165	222	55	and	and	CC
20165	222	56	_	_	NNP
20165	222	57	e·f	e·f	NNP
20165	222	58	_	_	NNP
20165	222	59	is	be	VBZ
20165	222	60	the	the	DT
20165	222	61	trace	trace	NN
20165	222	62	of	of	IN
20165	222	63	the	the	DT
20165	222	64	same	same	JJ
20165	222	65	plane	plane	NN
20165	222	66	on	on	IN
20165	222	67	the	the	DT
20165	222	68	vertical	vertical	JJ
20165	222	69	plane	plane	NN
20165	222	70	_	_	NNP
20165	222	71	K	K	NNP
20165	222	72	_	_	NNP
20165	222	73	.	.	.
20165	223	1	VI	VI	NNP
20165	223	2	SCIENTIFIC	SCIENTIFIC	NNP
20165	223	3	DEFINITION	DEFINITION	VBN
20165	223	4	OF	of	IN
20165	223	5	PERSPECTIVE	perspective	NN
20165	223	6	The	the	DT
20165	223	7	projections	projection	NNS
20165	223	8	of	of	IN
20165	223	9	the	the	DT
20165	223	10	extremities	extremity	NNS
20165	223	11	of	of	IN
20165	223	12	a	a	DT
20165	223	13	right	right	JJ
20165	223	14	line	line	NN
20165	223	15	which	which	WDT
20165	223	16	passes	pass	VBZ
20165	223	17	through	through	IN
20165	223	18	a	a	DT
20165	223	19	vertical	vertical	JJ
20165	223	20	plane	plane	NN
20165	223	21	being	be	VBG
20165	223	22	given	give	VBN
20165	223	23	,	,	,
20165	223	24	one	one	CD
20165	223	25	on	on	IN
20165	223	26	either	either	DT
20165	223	27	side	side	NN
20165	223	28	of	of	IN
20165	223	29	it	-PRON-	PRP
20165	223	30	,	,	,
20165	223	31	to	to	TO
20165	223	32	find	find	VB
20165	223	33	the	the	DT
20165	223	34	intersection	intersection	NN
20165	223	35	of	of	IN
20165	223	36	that	that	DT
20165	223	37	line	line	NN
20165	223	38	with	with	IN
20165	223	39	the	the	DT
20165	223	40	vertical	vertical	JJ
20165	223	41	plane	plane	NN
20165	223	42	.	.	.
20165	224	1	_	_	NNP
20165	224	2	AE	AE	NNP
20165	224	3	_	_	NNP
20165	224	4	(	(	-LRB-
20165	224	5	Fig	fig	NN
20165	224	6	.	.	.
20165	225	1	20	20	CD
20165	225	2	)	)	-RRB-
20165	225	3	is	be	VBZ
20165	225	4	the	the	DT
20165	225	5	right	right	JJ
20165	225	6	line	line	NN
20165	225	7	.	.	.
20165	226	1	The	the	DT
20165	226	2	projection	projection	NN
20165	226	3	of	of	IN
20165	226	4	its	-PRON-	PRP$
20165	226	5	extremity	extremity	NN
20165	226	6	_	_	NNP
20165	226	7	A	A	NNP
20165	226	8	_	_	NNP
20165	226	9	on	on	IN
20165	226	10	the	the	DT
20165	226	11	vertical	vertical	JJ
20165	226	12	plane	plane	NN
20165	226	13	is	be	VBZ
20165	226	14	_	_	NNP
20165	226	15	a	a	DT
20165	226	16	·	·	NFP
20165	226	17	_	_	NNP
20165	226	18	,	,	,
20165	226	19	the	the	DT
20165	226	20	projection	projection	NN
20165	226	21	of	of	IN
20165	226	22	_	_	NNP
20165	226	23	E	E	NNP
20165	226	24	_	_	NNP
20165	226	25	,	,	,
20165	226	26	the	the	DT
20165	226	27	other	other	JJ
20165	226	28	extremity	extremity	NN
20165	226	29	,	,	,
20165	226	30	is	be	VBZ
20165	226	31	_	_	NNP
20165	226	32	e	e	NNP
20165	226	33	·	·	NFP
20165	226	34	_	_	XX
20165	226	35	.	.	.
20165	227	1	_	_	NNP
20165	227	2	AS	AS	NNP
20165	227	3	_	_	NNP
20165	227	4	is	be	VBZ
20165	227	5	the	the	DT
20165	227	6	horizontal	horizontal	JJ
20165	227	7	trace	trace	NN
20165	227	8	of	of	IN
20165	227	9	_	_	NNP
20165	227	10	AE	AE	NNP
20165	227	11	_	_	NNP
20165	227	12	,	,	,
20165	227	13	and	and	CC
20165	227	14	_	_	NNP
20165	227	15	a·e	a·e	NNP
20165	227	16	·	·	NFP
20165	227	17	_	_	NNP
20165	227	18	is	be	VBZ
20165	227	19	its	-PRON-	PRP$
20165	227	20	trace	trace	NN
20165	227	21	on	on	IN
20165	227	22	the	the	DT
20165	227	23	vertical	vertical	JJ
20165	227	24	plane	plane	NN
20165	227	25	.	.	.
20165	228	1	At	at	IN
20165	228	2	point	point	NN
20165	228	3	_	_	NNP
20165	228	4	f	f	NNP
20165	228	5	_	_	NNP
20165	228	6	,	,	,
20165	228	7	where	where	WRB
20165	228	8	the	the	DT
20165	228	9	horizontal	horizontal	JJ
20165	228	10	trace	trace	NN
20165	228	11	intersects	intersect	VBZ
20165	228	12	the	the	DT
20165	228	13	base	base	NN
20165	228	14	_	_	NNP
20165	228	15	Bc	Bc	NNP
20165	228	16	_	_	NNP
20165	228	17	of	of	IN
20165	228	18	the	the	DT
20165	228	19	vertical	vertical	JJ
20165	228	20	plane	plane	NN
20165	228	21	,	,	,
20165	228	22	raise	raise	VB
20165	228	23	perpendicular	perpendicular	JJ
20165	228	24	_	_	NNP
20165	228	25	fP	fP	NNP
20165	228	26	_	_	NNP
20165	228	27	till	till	IN
20165	228	28	it	-PRON-	PRP
20165	228	29	cuts	cut	VBZ
20165	228	30	_	_	NNP
20165	228	31	a·e	a·e	NNP
20165	228	32	·	·	NFP
20165	228	33	_	_	XX
20165	228	34	at	at	IN
20165	228	35	point	point	NN
20165	228	36	_	_	NNP
20165	228	37	P	P	NNP
20165	228	38	_	_	NNP
20165	228	39	,	,	,
20165	228	40	which	which	WDT
20165	228	41	is	be	VBZ
20165	228	42	the	the	DT
20165	228	43	point	point	NN
20165	228	44	required	require	VBN
20165	228	45	.	.	.
20165	229	1	For	for	IN
20165	229	2	it	-PRON-	PRP
20165	229	3	is	be	VBZ
20165	229	4	at	at	IN
20165	229	5	the	the	DT
20165	229	6	same	same	JJ
20165	229	7	time	time	NN
20165	229	8	on	on	IN
20165	229	9	the	the	DT
20165	229	10	given	give	VBN
20165	229	11	line	line	NN
20165	229	12	_	_	NNP
20165	229	13	AE	AE	NNP
20165	229	14	_	_	NNP
20165	229	15	and	and	CC
20165	229	16	the	the	DT
20165	229	17	vertical	vertical	JJ
20165	229	18	plane	plane	NN
20165	229	19	_	_	NNP
20165	229	20	K	K	NNP
20165	229	21	_	_	NNP
20165	229	22	.	.	.
20165	230	1	[	[	-LRB-
20165	230	2	Illustration	illustration	NN
20165	230	3	:	:	:
20165	230	4	Fig	Fig	NNP
20165	230	5	.	.	.
20165	231	1	20	20	CD
20165	231	2	.	.	.
20165	231	3	]	]	-RRB-
20165	232	1	This	this	DT
20165	232	2	figure	figure	NN
20165	232	3	is	be	VBZ
20165	232	4	similar	similar	JJ
20165	232	5	to	to	IN
20165	232	6	the	the	DT
20165	232	7	previous	previous	JJ
20165	232	8	one	one	NN
20165	232	9	,	,	,
20165	232	10	except	except	IN
20165	232	11	that	that	IN
20165	232	12	the	the	DT
20165	232	13	extremity	extremity	NN
20165	232	14	_	_	NNP
20165	232	15	A	A	NNP
20165	232	16	_	_	NNP
20165	232	17	of	of	IN
20165	232	18	the	the	DT
20165	232	19	given	give	VBN
20165	232	20	line	line	NN
20165	232	21	is	be	VBZ
20165	232	22	raised	raise	VBN
20165	232	23	from	from	IN
20165	232	24	the	the	DT
20165	232	25	ground	ground	NN
20165	232	26	,	,	,
20165	232	27	but	but	CC
20165	232	28	the	the	DT
20165	232	29	same	same	JJ
20165	232	30	demonstration	demonstration	NN
20165	232	31	applies	apply	VBZ
20165	232	32	to	to	IN
20165	232	33	it	-PRON-	PRP
20165	232	34	.	.	.
20165	233	1	[	[	-LRB-
20165	233	2	Illustration	illustration	NN
20165	233	3	:	:	:
20165	233	4	Fig	Fig	NNP
20165	233	5	.	.	.
20165	234	1	21	21	CD
20165	234	2	.	.	.
20165	234	3	]	]	-RRB-
20165	235	1	And	and	CC
20165	235	2	now	now	RB
20165	235	3	let	let	VB
20165	235	4	us	-PRON-	PRP
20165	235	5	suppose	suppose	VB
20165	235	6	the	the	DT
20165	235	7	vertical	vertical	JJ
20165	235	8	plane	plane	NN
20165	235	9	_	_	NNP
20165	235	10	K	K	NNP
20165	235	11	_	_	NNP
20165	235	12	to	to	TO
20165	235	13	be	be	VB
20165	235	14	a	a	DT
20165	235	15	sheet	sheet	NN
20165	235	16	of	of	IN
20165	235	17	glass	glass	NN
20165	235	18	,	,	,
20165	235	19	and	and	CC
20165	235	20	the	the	DT
20165	235	21	given	give	VBN
20165	235	22	line	line	NN
20165	235	23	_	_	NNP
20165	235	24	AE	AE	NNP
20165	235	25	_	_	NNP
20165	235	26	to	to	TO
20165	235	27	be	be	VB
20165	235	28	the	the	DT
20165	235	29	visual	visual	JJ
20165	235	30	ray	ray	NN
20165	235	31	passing	pass	VBG
20165	235	32	from	from	IN
20165	235	33	the	the	DT
20165	235	34	eye	eye	NN
20165	235	35	to	to	IN
20165	235	36	the	the	DT
20165	235	37	object	object	NN
20165	235	38	_	_	NNP
20165	235	39	A	A	NNP
20165	235	40	_	_	NNP
20165	235	41	on	on	IN
20165	235	42	the	the	DT
20165	235	43	other	other	JJ
20165	235	44	side	side	NN
20165	235	45	of	of	IN
20165	235	46	the	the	DT
20165	235	47	glass	glass	NN
20165	235	48	.	.	.
20165	236	1	Then	then	RB
20165	236	2	if	if	IN
20165	236	3	_	_	NNP
20165	236	4	E	E	NNP
20165	236	5	_	_	NNP
20165	236	6	is	be	VBZ
20165	236	7	the	the	DT
20165	236	8	eye	eye	NN
20165	236	9	of	of	IN
20165	236	10	the	the	DT
20165	236	11	spectator	spectator	NN
20165	236	12	,	,	,
20165	236	13	its	-PRON-	PRP$
20165	236	14	projection	projection	NN
20165	236	15	on	on	IN
20165	236	16	the	the	DT
20165	236	17	picture	picture	NN
20165	236	18	is	be	VBZ
20165	236	19	_	_	NNP
20165	236	20	S	S	NNP
20165	236	21	_	_	NNP
20165	236	22	,	,	,
20165	236	23	the	the	DT
20165	236	24	point	point	NN
20165	236	25	of	of	IN
20165	236	26	sight	sight	NN
20165	236	27	.	.	.
20165	237	1	If	if	IN
20165	237	2	I	-PRON-	PRP
20165	237	3	draw	draw	VBP
20165	237	4	a	a	DT
20165	237	5	dotted	dotted	JJ
20165	237	6	line	line	NN
20165	237	7	from	from	IN
20165	237	8	_	_	NNP
20165	237	9	E	E	NNP
20165	237	10	_	_	NNP
20165	237	11	to	to	IN
20165	237	12	little	little	JJ
20165	237	13	_	_	NNP
20165	237	14	a	a	DT
20165	237	15	_	_	NNP
20165	237	16	,	,	,
20165	237	17	this	this	DT
20165	237	18	represents	represent	VBZ
20165	237	19	another	another	DT
20165	237	20	visual	visual	JJ
20165	237	21	ray	ray	NN
20165	237	22	,	,	,
20165	237	23	and	and	CC
20165	237	24	_	_	NNP
20165	237	25	o	o	XX
20165	237	26	_	_	NNP
20165	237	27	,	,	,
20165	237	28	the	the	DT
20165	237	29	point	point	NN
20165	237	30	where	where	WRB
20165	237	31	it	-PRON-	PRP
20165	237	32	passes	pass	VBZ
20165	237	33	through	through	IN
20165	237	34	the	the	DT
20165	237	35	picture	picture	NN
20165	237	36	,	,	,
20165	237	37	is	be	VBZ
20165	237	38	the	the	DT
20165	237	39	perspective	perspective	NN
20165	237	40	of	of	IN
20165	237	41	little	little	JJ
20165	237	42	_	_	NNP
20165	237	43	a	a	DT
20165	237	44	_	_	NNP
20165	237	45	.	.	.
20165	238	1	I	-PRON-	PRP
20165	238	2	now	now	RB
20165	238	3	draw	draw	VBP
20165	238	4	another	another	DT
20165	238	5	line	line	NN
20165	238	6	from	from	IN
20165	238	7	_	_	NNP
20165	238	8	g	g	NNP
20165	238	9	_	_	NNP
20165	238	10	to	to	IN
20165	238	11	_	_	NNP
20165	238	12	S	S	NNP
20165	238	13	_	_	NNP
20165	238	14	,	,	,
20165	238	15	and	and	CC
20165	238	16	thus	thus	RB
20165	238	17	form	form	VB
20165	238	18	the	the	DT
20165	238	19	shaded	shaded	JJ
20165	238	20	figure	figure	NN
20165	238	21	_	_	NNP
20165	238	22	ga·Po	ga·Po	NNP
20165	238	23	_	_	NNP
20165	238	24	,	,	,
20165	238	25	which	which	WDT
20165	238	26	is	be	VBZ
20165	238	27	the	the	DT
20165	238	28	perspective	perspective	NN
20165	238	29	of	of	IN
20165	238	30	_	_	NNP
20165	238	31	aAa·g	aAa·g	NNP
20165	238	32	_	_	NNP
20165	238	33	.	.	.
20165	239	1	Let	let	VB
20165	239	2	it	-PRON-	PRP
20165	239	3	be	be	VB
20165	239	4	remarked	remark	VBN
20165	239	5	that	that	IN
20165	239	6	in	in	IN
20165	239	7	the	the	DT
20165	239	8	shaded	shaded	JJ
20165	239	9	perspective	perspective	NN
20165	239	10	figure	figure	NN
20165	239	11	the	the	DT
20165	239	12	lines	line	NNS
20165	239	13	_	_	NNP
20165	239	14	a·P	a·P	NNP
20165	239	15	_	_	NNP
20165	239	16	and	and	CC
20165	239	17	_	_	NNP
20165	239	18	go	go	VB
20165	239	19	_	_	NNP
20165	239	20	are	be	VBP
20165	239	21	both	both	DT
20165	239	22	drawn	draw	VBN
20165	239	23	towards	towards	IN
20165	239	24	_	_	NNP
20165	239	25	S	S	NNP
20165	239	26	_	_	NNP
20165	239	27	,	,	,
20165	239	28	the	the	DT
20165	239	29	point	point	NN
20165	239	30	of	of	IN
20165	239	31	sight	sight	NN
20165	239	32	,	,	,
20165	239	33	and	and	CC
20165	239	34	that	that	IN
20165	239	35	they	-PRON-	PRP
20165	239	36	represent	represent	VBP
20165	239	37	parallel	parallel	JJ
20165	239	38	lines	line	NNS
20165	239	39	_	_	NNP
20165	239	40	Aa	Aa	NNP
20165	239	41	·	·	NFP
20165	239	42	_	_	NNP
20165	239	43	and	and	CC
20165	239	44	_	_	NNP
20165	239	45	ag	ag	NNP
20165	239	46	_	_	NNP
20165	239	47	,	,	,
20165	239	48	which	which	WDT
20165	239	49	are	be	VBP
20165	239	50	at	at	IN
20165	239	51	right	right	JJ
20165	239	52	angles	angle	NNS
20165	239	53	to	to	IN
20165	239	54	the	the	DT
20165	239	55	picture	picture	NN
20165	239	56	plane	plane	NN
20165	239	57	.	.	.
20165	240	1	This	this	DT
20165	240	2	is	be	VBZ
20165	240	3	the	the	DT
20165	240	4	most	most	RBS
20165	240	5	important	important	JJ
20165	240	6	fact	fact	NN
20165	240	7	in	in	IN
20165	240	8	perspective	perspective	NN
20165	240	9	,	,	,
20165	240	10	and	and	CC
20165	240	11	will	will	MD
20165	240	12	be	be	VB
20165	240	13	more	more	RBR
20165	240	14	fully	fully	RB
20165	240	15	explained	explain	VBN
20165	240	16	farther	farther	RB
20165	240	17	on	on	RB
20165	240	18	,	,	,
20165	240	19	when	when	WRB
20165	240	20	we	-PRON-	PRP
20165	240	21	speak	speak	VBP
20165	240	22	of	of	IN
20165	240	23	retreating	retreat	VBG
20165	240	24	or	or	CC
20165	240	25	so	so	RB
20165	240	26	-	-	HYPH
20165	240	27	called	call	VBN
20165	240	28	vanishing	vanish	VBG
20165	240	29	lines	line	NNS
20165	240	30	.	.	.
20165	241	1	RULES	rule	NNS
20165	241	2	VII	vii	VBP
20165	241	3	THE	the	DT
20165	241	4	RULES	rule	NNS
20165	241	5	AND	and	CC
20165	241	6	CONDITIONS	conditions	NN
20165	241	7	OF	of	IN
20165	241	8	PERSPECTIVE	perspective	NN
20165	241	9	The	the	DT
20165	241	10	conditions	condition	NNS
20165	241	11	of	of	IN
20165	241	12	linear	linear	JJ
20165	241	13	perspective	perspective	NN
20165	241	14	are	be	VBP
20165	241	15	somewhat	somewhat	RB
20165	241	16	rigid	rigid	JJ
20165	241	17	.	.	.
20165	242	1	In	in	IN
20165	242	2	the	the	DT
20165	242	3	first	first	JJ
20165	242	4	place	place	NN
20165	242	5	,	,	,
20165	242	6	we	-PRON-	PRP
20165	242	7	are	be	VBP
20165	242	8	supposed	suppose	VBN
20165	242	9	to	to	TO
20165	242	10	look	look	VB
20165	242	11	at	at	IN
20165	242	12	objects	object	NNS
20165	242	13	with	with	IN
20165	242	14	one	one	CD
20165	242	15	eye	eye	NN
20165	242	16	only	only	RB
20165	242	17	;	;	:
20165	242	18	that	that	RB
20165	242	19	is	is	RB
20165	242	20	,	,	,
20165	242	21	the	the	DT
20165	242	22	visual	visual	JJ
20165	242	23	rays	ray	NNS
20165	242	24	are	be	VBP
20165	242	25	drawn	draw	VBN
20165	242	26	from	from	IN
20165	242	27	a	a	DT
20165	242	28	single	single	JJ
20165	242	29	point	point	NN
20165	242	30	,	,	,
20165	242	31	and	and	CC
20165	242	32	not	not	RB
20165	242	33	from	from	IN
20165	242	34	two	two	CD
20165	242	35	.	.	.
20165	243	1	Of	of	IN
20165	243	2	this	this	DT
20165	243	3	we	-PRON-	PRP
20165	243	4	shall	shall	MD
20165	243	5	speak	speak	VB
20165	243	6	later	later	RB
20165	243	7	on	on	RB
20165	243	8	.	.	.
20165	244	1	Then	then	RB
20165	244	2	again	again	RB
20165	244	3	,	,	,
20165	244	4	the	the	DT
20165	244	5	eye	eye	NN
20165	244	6	must	must	MD
20165	244	7	be	be	VB
20165	244	8	placed	place	VBN
20165	244	9	in	in	IN
20165	244	10	a	a	DT
20165	244	11	certain	certain	JJ
20165	244	12	position	position	NN
20165	244	13	,	,	,
20165	244	14	as	as	IN
20165	244	15	at	at	IN
20165	244	16	_	_	NNP
20165	244	17	E	E	NNP
20165	244	18	_	_	NNP
20165	244	19	(	(	-LRB-
20165	244	20	Fig	fig	NN
20165	244	21	.	.	.
20165	245	1	22	22	CD
20165	245	2	)	)	-RRB-
20165	245	3	,	,	,
20165	245	4	at	at	IN
20165	245	5	a	a	DT
20165	245	6	given	give	VBN
20165	245	7	height	height	NN
20165	245	8	from	from	IN
20165	245	9	the	the	DT
20165	245	10	ground	ground	NN
20165	245	11	,	,	,
20165	245	12	_	_	NNP
20165	245	13	S·E	S·E	NNP
20165	245	14	_	_	NNP
20165	245	15	,	,	,
20165	245	16	and	and	CC
20165	245	17	at	at	IN
20165	245	18	a	a	DT
20165	245	19	given	give	VBN
20165	245	20	distance	distance	NN
20165	245	21	from	from	IN
20165	245	22	the	the	DT
20165	245	23	picture	picture	NN
20165	245	24	,	,	,
20165	245	25	as	as	IN
20165	245	26	_	_	NNP
20165	245	27	SE	SE	NNP
20165	245	28	_	_	NNP
20165	245	29	.	.	.
20165	246	1	In	in	IN
20165	246	2	the	the	DT
20165	246	3	next	next	JJ
20165	246	4	place	place	NN
20165	246	5	,	,	,
20165	246	6	the	the	DT
20165	246	7	picture	picture	NN
20165	246	8	or	or	CC
20165	246	9	picture	picture	NN
20165	246	10	plane	plane	NN
20165	246	11	itself	-PRON-	PRP
20165	246	12	must	must	MD
20165	246	13	be	be	VB
20165	246	14	vertical	vertical	JJ
20165	246	15	and	and	CC
20165	246	16	perpendicular	perpendicular	JJ
20165	246	17	to	to	IN
20165	246	18	the	the	DT
20165	246	19	ground	ground	NN
20165	246	20	or	or	CC
20165	246	21	horizontal	horizontal	JJ
20165	246	22	plane	plane	NN
20165	246	23	,	,	,
20165	246	24	which	which	WDT
20165	246	25	plane	plane	NN
20165	246	26	is	be	VBZ
20165	246	27	supposed	suppose	VBN
20165	246	28	to	to	TO
20165	246	29	be	be	VB
20165	246	30	as	as	RB
20165	246	31	level	level	NN
20165	246	32	as	as	IN
20165	246	33	a	a	DT
20165	246	34	billiard	billiard	NN
20165	246	35	-	-	HYPH
20165	246	36	table	table	NN
20165	246	37	,	,	,
20165	246	38	and	and	CC
20165	246	39	to	to	TO
20165	246	40	extend	extend	VB
20165	246	41	from	from	IN
20165	246	42	the	the	DT
20165	246	43	base	base	NN
20165	246	44	line	line	NN
20165	246	45	,	,	,
20165	246	46	_	_	NNP
20165	246	47	ef	ef	NNP
20165	246	48	_	_	NNP
20165	246	49	,	,	,
20165	246	50	of	of	IN
20165	246	51	the	the	DT
20165	246	52	picture	picture	NN
20165	246	53	to	to	IN
20165	246	54	the	the	DT
20165	246	55	horizon	horizon	NN
20165	246	56	,	,	,
20165	246	57	that	that	RB
20165	246	58	is	is	RB
20165	246	59	,	,	,
20165	246	60	to	to	IN
20165	246	61	infinity	infinity	NN
20165	246	62	,	,	,
20165	246	63	for	for	IN
20165	246	64	it	-PRON-	PRP
20165	246	65	does	do	VBZ
20165	246	66	not	not	RB
20165	246	67	partake	partake	VB
20165	246	68	of	of	IN
20165	246	69	the	the	DT
20165	246	70	rotundity	rotundity	NN
20165	246	71	of	of	IN
20165	246	72	the	the	DT
20165	246	73	earth	earth	NN
20165	246	74	.	.	.
20165	247	1	We	-PRON-	PRP
20165	247	2	can	can	MD
20165	247	3	only	only	RB
20165	247	4	work	work	VB
20165	247	5	out	out	RP
20165	247	6	our	-PRON-	PRP$
20165	247	7	propositions	proposition	NNS
20165	247	8	and	and	CC
20165	247	9	figures	figure	NNS
20165	247	10	in	in	IN
20165	247	11	space	space	NN
20165	247	12	with	with	IN
20165	247	13	mathematical	mathematical	JJ
20165	247	14	precision	precision	NN
20165	247	15	by	by	IN
20165	247	16	adopting	adopt	VBG
20165	247	17	such	such	JJ
20165	247	18	conditions	condition	NNS
20165	247	19	as	as	IN
20165	247	20	the	the	DT
20165	247	21	above	above	JJ
20165	247	22	.	.	.
20165	248	1	But	but	CC
20165	248	2	afterwards	afterwards	RB
20165	248	3	the	the	DT
20165	248	4	artist	artist	NN
20165	248	5	or	or	CC
20165	248	6	draughtsman	draughtsman	NNP
20165	248	7	may	may	MD
20165	248	8	modify	modify	VB
20165	248	9	and	and	CC
20165	248	10	suit	suit	VB
20165	248	11	them	-PRON-	PRP
20165	248	12	to	to	IN
20165	248	13	a	a	DT
20165	248	14	more	more	RBR
20165	248	15	elastic	elastic	JJ
20165	248	16	view	view	NN
20165	248	17	of	of	IN
20165	248	18	things	thing	NNS
20165	248	19	;	;	:
20165	248	20	that	that	RB
20165	248	21	is	is	RB
20165	248	22	,	,	,
20165	248	23	he	-PRON-	PRP
20165	248	24	can	can	MD
20165	248	25	make	make	VB
20165	248	26	his	-PRON-	PRP$
20165	248	27	figures	figure	NNS
20165	248	28	separate	separate	JJ
20165	248	29	from	from	IN
20165	248	30	one	one	CD
20165	248	31	another	another	DT
20165	248	32	,	,	,
20165	248	33	instead	instead	RB
20165	248	34	of	of	IN
20165	248	35	their	-PRON-	PRP$
20165	248	36	outlines	outline	NNS
20165	248	37	coming	come	VBG
20165	248	38	close	close	RB
20165	248	39	together	together	RB
20165	248	40	as	as	IN
20165	248	41	they	-PRON-	PRP
20165	248	42	do	do	VBP
20165	248	43	when	when	WRB
20165	248	44	we	-PRON-	PRP
20165	248	45	look	look	VBP
20165	248	46	at	at	IN
20165	248	47	them	-PRON-	PRP
20165	248	48	with	with	IN
20165	248	49	only	only	RB
20165	248	50	one	one	CD
20165	248	51	eye	eye	NN
20165	248	52	.	.	.
20165	249	1	Also	also	RB
20165	249	2	he	-PRON-	PRP
20165	249	3	will	will	MD
20165	249	4	allow	allow	VB
20165	249	5	for	for	IN
20165	249	6	the	the	DT
20165	249	7	unevenness	unevenness	NN
20165	249	8	of	of	IN
20165	249	9	the	the	DT
20165	249	10	ground	ground	NN
20165	249	11	and	and	CC
20165	249	12	the	the	DT
20165	249	13	roundness	roundness	NN
20165	249	14	of	of	IN
20165	249	15	our	-PRON-	PRP$
20165	249	16	globe	globe	NN
20165	249	17	;	;	:
20165	249	18	he	-PRON-	PRP
20165	249	19	may	may	MD
20165	249	20	even	even	RB
20165	249	21	move	move	VB
20165	249	22	his	-PRON-	PRP$
20165	249	23	head	head	NN
20165	249	24	and	and	CC
20165	249	25	his	-PRON-	PRP$
20165	249	26	eyes	eye	NNS
20165	249	27	,	,	,
20165	249	28	and	and	CC
20165	249	29	use	use	VBP
20165	249	30	both	both	DT
20165	249	31	of	of	IN
20165	249	32	them	-PRON-	PRP
20165	249	33	,	,	,
20165	249	34	and	and	CC
20165	249	35	in	in	IN
20165	249	36	fact	fact	NN
20165	249	37	make	make	VB
20165	249	38	himself	-PRON-	PRP
20165	249	39	quite	quite	RB
20165	249	40	at	at	IN
20165	249	41	his	-PRON-	PRP$
20165	249	42	ease	ease	NN
20165	249	43	when	when	WRB
20165	249	44	he	-PRON-	PRP
20165	249	45	is	be	VBZ
20165	249	46	out	out	RB
20165	249	47	sketching	sketch	VBG
20165	249	48	,	,	,
20165	249	49	for	for	IN
20165	249	50	Nature	nature	NN
20165	249	51	does	do	VBZ
20165	249	52	all	all	PDT
20165	249	53	his	-PRON-	PRP$
20165	249	54	perspective	perspective	NN
20165	249	55	for	for	IN
20165	249	56	him	-PRON-	PRP
20165	249	57	.	.	.
20165	250	1	At	at	IN
20165	250	2	the	the	DT
20165	250	3	same	same	JJ
20165	250	4	time	time	NN
20165	250	5	,	,	,
20165	250	6	a	a	DT
20165	250	7	knowledge	knowledge	NN
20165	250	8	of	of	IN
20165	250	9	this	this	DT
20165	250	10	rigid	rigid	JJ
20165	250	11	perspective	perspective	NN
20165	250	12	is	be	VBZ
20165	250	13	the	the	DT
20165	250	14	sure	sure	JJ
20165	250	15	and	and	CC
20165	250	16	unerring	unerring	JJ
20165	250	17	basis	basis	NN
20165	250	18	of	of	IN
20165	250	19	his	-PRON-	PRP$
20165	250	20	freehand	freehand	NN
20165	250	21	drawing	drawing	NN
20165	250	22	.	.	.
20165	251	1	[	[	-LRB-
20165	251	2	Illustration	illustration	NN
20165	251	3	:	:	:
20165	251	4	Fig	Fig	NNP
20165	251	5	.	.	.
20165	252	1	22	22	CD
20165	252	2	.	.	.
20165	252	3	]	]	-RRB-
20165	253	1	[	[	-LRB-
20165	253	2	Illustration	illustration	NN
20165	253	3	:	:	:
20165	253	4	Fig	Fig	NNP
20165	253	5	.	.	.
20165	254	1	23	23	CD
20165	254	2	.	.	.
20165	255	1	Front	front	JJ
20165	255	2	view	view	NN
20165	255	3	of	of	IN
20165	255	4	above	above	JJ
20165	255	5	figure	figure	NN
20165	255	6	.	.	.
20165	255	7	]	]	-RRB-
20165	256	1	RULE	RULE	NNP
20165	256	2	1	1	CD
20165	256	3	All	all	DT
20165	256	4	straight	straight	JJ
20165	256	5	lines	line	NNS
20165	256	6	remain	remain	VBP
20165	256	7	straight	straight	JJ
20165	256	8	in	in	IN
20165	256	9	their	-PRON-	PRP$
20165	256	10	perspective	perspective	JJ
20165	256	11	appearance	appearance	NN
20165	256	12	.	.	.
20165	257	1	[	[	-LRB-
20165	257	2	4	4	CD
20165	257	3	]	]	-RRB-
20165	257	4	[	[	-LRB-
20165	257	5	Footnote	footnote	NN
20165	257	6	4	4	CD
20165	257	7	:	:	:
20165	257	8	Some	some	DT
20165	257	9	will	will	MD
20165	257	10	tell	tell	VB
20165	257	11	us	-PRON-	PRP
20165	257	12	that	that	IN
20165	257	13	Nature	Nature	NNP
20165	257	14	abhors	abhor	VBZ
20165	257	15	a	a	DT
20165	257	16	straight	straight	JJ
20165	257	17	line	line	NN
20165	257	18	,	,	,
20165	257	19	that	that	IN
20165	257	20	all	all	DT
20165	257	21	long	long	JJ
20165	257	22	straight	straight	JJ
20165	257	23	lines	line	NNS
20165	257	24	in	in	IN
20165	257	25	space	space	NN
20165	257	26	appear	appear	VBP
20165	257	27	curved	curved	NNP
20165	257	28	,	,	,
20165	257	29	&	&	CC
20165	257	30	c.	c.	NNP
20165	257	31	,	,	,
20165	257	32	owing	owe	VBG
20165	257	33	to	to	IN
20165	257	34	certain	certain	JJ
20165	257	35	optical	optical	JJ
20165	257	36	conditions	condition	NNS
20165	257	37	;	;	:
20165	257	38	but	but	CC
20165	257	39	this	this	DT
20165	257	40	is	be	VBZ
20165	257	41	not	not	RB
20165	257	42	apparent	apparent	JJ
20165	257	43	in	in	IN
20165	257	44	short	short	JJ
20165	257	45	straight	straight	JJ
20165	257	46	lines	line	NNS
20165	257	47	,	,	,
20165	257	48	so	so	CC
20165	257	49	if	if	IN
20165	257	50	our	-PRON-	PRP$
20165	257	51	drawing	drawing	NN
20165	257	52	is	be	VBZ
20165	257	53	small	small	JJ
20165	257	54	it	-PRON-	PRP
20165	257	55	would	would	MD
20165	257	56	be	be	VB
20165	257	57	wrong	wrong	JJ
20165	257	58	to	to	TO
20165	257	59	curve	curve	VB
20165	257	60	them	-PRON-	PRP
20165	257	61	;	;	:
20165	257	62	if	if	IN
20165	257	63	it	-PRON-	PRP
20165	257	64	is	be	VBZ
20165	257	65	large	large	JJ
20165	257	66	,	,	,
20165	257	67	like	like	IN
20165	257	68	a	a	DT
20165	257	69	scene	scene	NN
20165	257	70	or	or	CC
20165	257	71	diorama	diorama	NN
20165	257	72	,	,	,
20165	257	73	the	the	DT
20165	257	74	same	same	JJ
20165	257	75	optical	optical	JJ
20165	257	76	condition	condition	NN
20165	257	77	which	which	WDT
20165	257	78	applies	apply	VBZ
20165	257	79	to	to	IN
20165	257	80	the	the	DT
20165	257	81	line	line	NN
20165	257	82	in	in	IN
20165	257	83	space	space	NN
20165	257	84	would	would	MD
20165	257	85	also	also	RB
20165	257	86	apply	apply	VB
20165	257	87	to	to	IN
20165	257	88	the	the	DT
20165	257	89	line	line	NN
20165	257	90	in	in	IN
20165	257	91	the	the	DT
20165	257	92	picture	picture	NN
20165	257	93	.	.	.
20165	257	94	]	]	-RRB-
20165	258	1	RULE	RULE	NNP
20165	258	2	2	2	CD
20165	258	3	Vertical	vertical	JJ
20165	258	4	lines	line	NNS
20165	258	5	remain	remain	VBP
20165	258	6	vertical	vertical	JJ
20165	258	7	in	in	IN
20165	258	8	perspective	perspective	NN
20165	258	9	,	,	,
20165	258	10	and	and	CC
20165	258	11	are	be	VBP
20165	258	12	divided	divide	VBN
20165	258	13	in	in	IN
20165	258	14	the	the	DT
20165	258	15	same	same	JJ
20165	258	16	proportion	proportion	NN
20165	258	17	as	as	IN
20165	258	18	_	_	NNP
20165	258	19	AB	AB	NNP
20165	258	20	_	_	NNP
20165	258	21	(	(	-LRB-
20165	258	22	Fig	Fig	NNP
20165	258	23	.	.	.
20165	259	1	24	24	CD
20165	259	2	)	)	-RRB-
20165	259	3	,	,	,
20165	259	4	the	the	DT
20165	259	5	original	original	JJ
20165	259	6	line	line	NN
20165	259	7	,	,	,
20165	259	8	and	and	CC
20165	259	9	_	_	NNP
20165	259	10	a·b	a·b	NNP
20165	259	11	·	·	NFP
20165	259	12	_	_	NNP
20165	259	13	,	,	,
20165	259	14	the	the	DT
20165	259	15	perspective	perspective	NN
20165	259	16	line	line	NN
20165	259	17	,	,	,
20165	259	18	and	and	CC
20165	259	19	if	if	IN
20165	259	20	the	the	DT
20165	259	21	one	one	NN
20165	259	22	is	be	VBZ
20165	259	23	divided	divide	VBN
20165	259	24	at	at	IN
20165	259	25	_	_	NNP
20165	259	26	O	O	NNP
20165	259	27	_	_	NNP
20165	259	28	the	the	DT
20165	259	29	other	other	JJ
20165	259	30	is	be	VBZ
20165	259	31	divided	divide	VBN
20165	259	32	at	at	IN
20165	259	33	_	_	NNP
20165	259	34	o	o	NNP
20165	259	35	·	·	NFP
20165	259	36	_	_	XX
20165	259	37	in	in	IN
20165	259	38	the	the	DT
20165	259	39	same	same	JJ
20165	259	40	way	way	NN
20165	259	41	.	.	.
20165	260	1	[	[	-LRB-
20165	260	2	Illustration	illustration	NN
20165	260	3	:	:	:
20165	260	4	Fig	Fig	NNP
20165	260	5	.	.	.
20165	261	1	24	24	CD
20165	261	2	.	.	.
20165	261	3	]	]	-RRB-
20165	262	1	It	-PRON-	PRP
20165	262	2	is	be	VBZ
20165	262	3	not	not	RB
20165	262	4	an	an	DT
20165	262	5	uncommon	uncommon	JJ
20165	262	6	error	error	NN
20165	262	7	to	to	TO
20165	262	8	suppose	suppose	VB
20165	262	9	that	that	IN
20165	262	10	the	the	DT
20165	262	11	vertical	vertical	JJ
20165	262	12	lines	line	NNS
20165	262	13	of	of	IN
20165	262	14	a	a	DT
20165	262	15	high	high	JJ
20165	262	16	building	building	NN
20165	262	17	should	should	MD
20165	262	18	converge	converge	VB
20165	262	19	towards	towards	IN
20165	262	20	the	the	DT
20165	262	21	top	top	NN
20165	262	22	;	;	:
20165	262	23	so	so	CC
20165	262	24	they	-PRON-	PRP
20165	262	25	would	would	MD
20165	262	26	if	if	IN
20165	262	27	we	-PRON-	PRP
20165	262	28	stood	stand	VBD
20165	262	29	at	at	IN
20165	262	30	the	the	DT
20165	262	31	foot	foot	NN
20165	262	32	of	of	IN
20165	262	33	that	that	DT
20165	262	34	building	building	NN
20165	262	35	and	and	CC
20165	262	36	looked	look	VBD
20165	262	37	up	up	RP
20165	262	38	,	,	,
20165	262	39	for	for	IN
20165	262	40	then	then	RB
20165	262	41	we	-PRON-	PRP
20165	262	42	should	should	MD
20165	262	43	alter	alter	VB
20165	262	44	the	the	DT
20165	262	45	conditions	condition	NNS
20165	262	46	of	of	IN
20165	262	47	our	-PRON-	PRP$
20165	262	48	perspective	perspective	NN
20165	262	49	,	,	,
20165	262	50	and	and	CC
20165	262	51	our	-PRON-	PRP$
20165	262	52	point	point	NN
20165	262	53	of	of	IN
20165	262	54	sight	sight	NN
20165	262	55	,	,	,
20165	262	56	instead	instead	RB
20165	262	57	of	of	IN
20165	262	58	being	be	VBG
20165	262	59	on	on	IN
20165	262	60	the	the	DT
20165	262	61	horizon	horizon	NN
20165	262	62	,	,	,
20165	262	63	would	would	MD
20165	262	64	be	be	VB
20165	262	65	up	up	RB
20165	262	66	in	in	IN
20165	262	67	the	the	DT
20165	262	68	sky	sky	NN
20165	262	69	.	.	.
20165	263	1	But	but	CC
20165	263	2	if	if	IN
20165	263	3	we	-PRON-	PRP
20165	263	4	stood	stand	VBD
20165	263	5	sufficiently	sufficiently	RB
20165	263	6	far	far	RB
20165	263	7	away	away	RB
20165	263	8	,	,	,
20165	263	9	so	so	IN
20165	263	10	as	as	IN
20165	263	11	to	to	TO
20165	263	12	bring	bring	VB
20165	263	13	the	the	DT
20165	263	14	whole	whole	NN
20165	263	15	of	of	IN
20165	263	16	the	the	DT
20165	263	17	building	building	NN
20165	263	18	within	within	IN
20165	263	19	our	-PRON-	PRP$
20165	263	20	angle	angle	NN
20165	263	21	of	of	IN
20165	263	22	vision	vision	NN
20165	263	23	,	,	,
20165	263	24	and	and	CC
20165	263	25	the	the	DT
20165	263	26	point	point	NN
20165	263	27	of	of	IN
20165	263	28	sight	sight	NN
20165	263	29	down	down	RB
20165	263	30	to	to	IN
20165	263	31	the	the	DT
20165	263	32	horizon	horizon	NN
20165	263	33	,	,	,
20165	263	34	then	then	RB
20165	263	35	these	these	DT
20165	263	36	same	same	JJ
20165	263	37	lines	line	NNS
20165	263	38	would	would	MD
20165	263	39	appear	appear	VB
20165	263	40	perfectly	perfectly	RB
20165	263	41	parallel	parallel	JJ
20165	263	42	,	,	,
20165	263	43	and	and	CC
20165	263	44	the	the	DT
20165	263	45	different	different	JJ
20165	263	46	stories	story	NNS
20165	263	47	in	in	IN
20165	263	48	their	-PRON-	PRP$
20165	263	49	true	true	JJ
20165	263	50	proportion	proportion	NN
20165	263	51	.	.	.
20165	264	1	RULE	RULE	NNP
20165	264	2	3	3	CD
20165	264	3	Horizontals	Horizontals	NNPS
20165	264	4	parallel	parallel	JJ
20165	264	5	to	to	IN
20165	264	6	the	the	DT
20165	264	7	base	base	NN
20165	264	8	of	of	IN
20165	264	9	the	the	DT
20165	264	10	picture	picture	NN
20165	264	11	are	be	VBP
20165	264	12	also	also	RB
20165	264	13	parallel	parallel	JJ
20165	264	14	to	to	IN
20165	264	15	that	that	DT
20165	264	16	base	base	NN
20165	264	17	in	in	IN
20165	264	18	the	the	DT
20165	264	19	picture	picture	NN
20165	264	20	.	.	.
20165	265	1	Thus	thus	RB
20165	265	2	_	_	NNP
20165	265	3	a·b	a·b	NNP
20165	265	4	·	·	NFP
20165	265	5	_	_	NNP
20165	265	6	(	(	-LRB-
20165	265	7	Fig	Fig	NNP
20165	265	8	.	.	.
20165	266	1	25	25	CD
20165	266	2	)	)	-RRB-
20165	266	3	is	be	VBZ
20165	266	4	parallel	parallel	JJ
20165	266	5	to	to	IN
20165	266	6	_	_	NNP
20165	266	7	AB	AB	NNP
20165	266	8	_	_	NNP
20165	266	9	,	,	,
20165	266	10	and	and	CC
20165	266	11	to	to	IN
20165	266	12	_	_	NNP
20165	266	13	GL	GL	NNP
20165	266	14	_	_	NNP
20165	266	15	,	,	,
20165	266	16	the	the	DT
20165	266	17	base	base	NN
20165	266	18	of	of	IN
20165	266	19	the	the	DT
20165	266	20	picture	picture	NN
20165	266	21	.	.	.
20165	267	1	Indeed	indeed	RB
20165	267	2	,	,	,
20165	267	3	the	the	DT
20165	267	4	same	same	JJ
20165	267	5	argument	argument	NN
20165	267	6	may	may	MD
20165	267	7	be	be	VB
20165	267	8	used	use	VBN
20165	267	9	with	with	IN
20165	267	10	regard	regard	NN
20165	267	11	to	to	IN
20165	267	12	horizontal	horizontal	JJ
20165	267	13	lines	line	NNS
20165	267	14	as	as	IN
20165	267	15	with	with	IN
20165	267	16	verticals	vertical	NNS
20165	267	17	.	.	.
20165	268	1	If	if	IN
20165	268	2	we	-PRON-	PRP
20165	268	3	look	look	VBP
20165	268	4	at	at	IN
20165	268	5	a	a	DT
20165	268	6	straight	straight	JJ
20165	268	7	wall	wall	NN
20165	268	8	in	in	IN
20165	268	9	front	front	NN
20165	268	10	of	of	IN
20165	268	11	us	-PRON-	PRP
20165	268	12	,	,	,
20165	268	13	its	-PRON-	PRP$
20165	268	14	top	top	NN
20165	268	15	and	and	CC
20165	268	16	its	-PRON-	PRP$
20165	268	17	rows	row	NNS
20165	268	18	of	of	IN
20165	268	19	bricks	brick	NNS
20165	268	20	,	,	,
20165	268	21	&	&	CC
20165	268	22	c.	c.	NNP
20165	268	23	,	,	,
20165	268	24	are	be	VBP
20165	268	25	parallel	parallel	JJ
20165	268	26	and	and	CC
20165	268	27	horizontal	horizontal	JJ
20165	268	28	;	;	:
20165	268	29	but	but	CC
20165	268	30	if	if	IN
20165	268	31	we	-PRON-	PRP
20165	268	32	look	look	VBP
20165	268	33	along	along	IN
20165	268	34	it	-PRON-	PRP
20165	268	35	sideways	sideways	RB
20165	268	36	,	,	,
20165	268	37	then	then	RB
20165	268	38	we	-PRON-	PRP
20165	268	39	alter	alter	VBP
20165	268	40	the	the	DT
20165	268	41	conditions	condition	NNS
20165	268	42	,	,	,
20165	268	43	and	and	CC
20165	268	44	the	the	DT
20165	268	45	parallel	parallel	JJ
20165	268	46	lines	line	NNS
20165	268	47	converge	converge	VBP
20165	268	48	to	to	IN
20165	268	49	whichever	whichever	WDT
20165	268	50	point	point	NN
20165	268	51	we	-PRON-	PRP
20165	268	52	direct	direct	VBP
20165	268	53	the	the	DT
20165	268	54	eye	eye	NN
20165	268	55	.	.	.
20165	269	1	[	[	-LRB-
20165	269	2	Illustration	illustration	NN
20165	269	3	:	:	:
20165	269	4	Fig	Fig	NNP
20165	269	5	.	.	.
20165	270	1	25	25	CD
20165	270	2	.	.	.
20165	270	3	]	]	-RRB-
20165	271	1	[	[	-LRB-
20165	271	2	Illustration	illustration	NN
20165	271	3	:	:	:
20165	271	4	Fig	Fig	NNP
20165	271	5	.	.	.
20165	272	1	26	26	CD
20165	272	2	.	.	.
20165	272	3	]	]	-RRB-
20165	273	1	This	this	DT
20165	273	2	rule	rule	NN
20165	273	3	is	be	VBZ
20165	273	4	important	important	JJ
20165	273	5	,	,	,
20165	273	6	as	as	IN
20165	273	7	we	-PRON-	PRP
20165	273	8	shall	shall	MD
20165	273	9	see	see	VB
20165	273	10	when	when	WRB
20165	273	11	we	-PRON-	PRP
20165	273	12	come	come	VBP
20165	273	13	to	to	IN
20165	273	14	the	the	DT
20165	273	15	consideration	consideration	NN
20165	273	16	of	of	IN
20165	273	17	the	the	DT
20165	273	18	perspective	perspective	NN
20165	273	19	vanishing	vanish	VBG
20165	273	20	scale	scale	NN
20165	273	21	.	.	.
20165	274	1	Its	-PRON-	PRP$
20165	274	2	use	use	NN
20165	274	3	may	may	MD
20165	274	4	be	be	VB
20165	274	5	illustrated	illustrate	VBN
20165	274	6	by	by	IN
20165	274	7	this	this	DT
20165	274	8	sketch	sketch	NN
20165	274	9	,	,	,
20165	274	10	where	where	WRB
20165	274	11	the	the	DT
20165	274	12	houses	house	NNS
20165	274	13	,	,	,
20165	274	14	walls	wall	NNS
20165	274	15	,	,	,
20165	274	16	&	&	CC
20165	274	17	c.	c.	NNP
20165	274	18	,	,	,
20165	274	19	are	be	VBP
20165	274	20	parallel	parallel	JJ
20165	274	21	to	to	IN
20165	274	22	the	the	DT
20165	274	23	base	base	NN
20165	274	24	of	of	IN
20165	274	25	the	the	DT
20165	274	26	picture	picture	NN
20165	274	27	.	.	.
20165	275	1	When	when	WRB
20165	275	2	that	that	DT
20165	275	3	is	be	VBZ
20165	275	4	the	the	DT
20165	275	5	case	case	NN
20165	275	6	,	,	,
20165	275	7	then	then	RB
20165	275	8	objects	object	VBZ
20165	275	9	exactly	exactly	RB
20165	275	10	facing	face	VBG
20165	275	11	us	-PRON-	PRP
20165	275	12	,	,	,
20165	275	13	such	such	JJ
20165	275	14	as	as	IN
20165	275	15	windows	window	NNS
20165	275	16	,	,	,
20165	275	17	doors	door	NNS
20165	275	18	,	,	,
20165	275	19	rows	row	NNS
20165	275	20	of	of	IN
20165	275	21	boards	board	NNS
20165	275	22	,	,	,
20165	275	23	or	or	CC
20165	275	24	of	of	IN
20165	275	25	bricks	brick	NNS
20165	275	26	or	or	CC
20165	275	27	palings	paling	NNS
20165	275	28	,	,	,
20165	275	29	&	&	CC
20165	275	30	c.	c.	NNP
20165	275	31	,	,	,
20165	275	32	are	be	VBP
20165	275	33	drawn	draw	VBN
20165	275	34	with	with	IN
20165	275	35	their	-PRON-	PRP$
20165	275	36	horizontal	horizontal	JJ
20165	275	37	lines	line	NNS
20165	275	38	parallel	parallel	JJ
20165	275	39	to	to	IN
20165	275	40	the	the	DT
20165	275	41	base	base	NN
20165	275	42	;	;	:
20165	275	43	hence	hence	RB
20165	275	44	it	-PRON-	PRP
20165	275	45	is	be	VBZ
20165	275	46	called	call	VBN
20165	275	47	parallel	parallel	JJ
20165	275	48	perspective	perspective	NN
20165	275	49	.	.	.
20165	276	1	RULE	RULE	NNP
20165	276	2	4	4	CD
20165	276	3	All	all	DT
20165	276	4	lines	line	NNS
20165	276	5	situated	situate	VBN
20165	276	6	in	in	IN
20165	276	7	a	a	DT
20165	276	8	plane	plane	NN
20165	276	9	that	that	WDT
20165	276	10	is	be	VBZ
20165	276	11	parallel	parallel	JJ
20165	276	12	to	to	IN
20165	276	13	the	the	DT
20165	276	14	picture	picture	NN
20165	276	15	plane	plane	NN
20165	276	16	diminish	diminish	NN
20165	276	17	in	in	IN
20165	276	18	proportion	proportion	NN
20165	276	19	as	as	IN
20165	276	20	they	-PRON-	PRP
20165	276	21	become	become	VBP
20165	276	22	more	more	RBR
20165	276	23	distant	distant	JJ
20165	276	24	,	,	,
20165	276	25	but	but	CC
20165	276	26	do	do	VBP
20165	276	27	not	not	RB
20165	276	28	undergo	undergo	VB
20165	276	29	any	any	DT
20165	276	30	perspective	perspective	JJ
20165	276	31	deformation	deformation	NN
20165	276	32	;	;	:
20165	276	33	and	and	CC
20165	276	34	remain	remain	VBP
20165	276	35	in	in	IN
20165	276	36	the	the	DT
20165	276	37	same	same	JJ
20165	276	38	relation	relation	NN
20165	276	39	and	and	CC
20165	276	40	proportion	proportion	NN
20165	276	41	each	each	DT
20165	276	42	to	to	IN
20165	276	43	each	each	DT
20165	276	44	as	as	IN
20165	276	45	the	the	DT
20165	276	46	original	original	JJ
20165	276	47	lines	line	NNS
20165	276	48	.	.	.
20165	277	1	This	this	DT
20165	277	2	is	be	VBZ
20165	277	3	called	call	VBN
20165	277	4	the	the	DT
20165	277	5	front	front	JJ
20165	277	6	view	view	NN
20165	277	7	.	.	.
20165	278	1	[	[	-LRB-
20165	278	2	Illustration	illustration	NN
20165	278	3	:	:	:
20165	278	4	Fig	Fig	NNP
20165	278	5	.	.	.
20165	279	1	27	27	CD
20165	279	2	.	.	.
20165	279	3	]	]	-RRB-
20165	280	1	RULE	RULE	NNP
20165	280	2	5	5	CD
20165	280	3	All	all	DT
20165	280	4	horizontals	horizontal	NNS
20165	280	5	which	which	WDT
20165	280	6	are	be	VBP
20165	280	7	at	at	IN
20165	280	8	right	right	JJ
20165	280	9	angles	angle	NNS
20165	280	10	to	to	IN
20165	280	11	the	the	DT
20165	280	12	picture	picture	NN
20165	280	13	plane	plane	NN
20165	280	14	are	be	VBP
20165	280	15	drawn	draw	VBN
20165	280	16	to	to	IN
20165	280	17	the	the	DT
20165	280	18	point	point	NN
20165	280	19	of	of	IN
20165	280	20	sight	sight	NN
20165	280	21	.	.	.
20165	281	1	Thus	thus	RB
20165	281	2	the	the	DT
20165	281	3	lines	line	NNS
20165	281	4	_	_	NNP
20165	281	5	AB	AB	NNP
20165	281	6	_	_	NNP
20165	281	7	and	and	CC
20165	281	8	_	_	NNP
20165	281	9	CD	CD	NNP
20165	281	10	_	_	NNP
20165	281	11	(	(	-LRB-
20165	281	12	Fig	fig	NN
20165	281	13	.	.	.
20165	282	1	28	28	CD
20165	282	2	)	)	-RRB-
20165	282	3	are	be	VBP
20165	282	4	horizontal	horizontal	JJ
20165	282	5	or	or	CC
20165	282	6	parallel	parallel	JJ
20165	282	7	to	to	IN
20165	282	8	the	the	DT
20165	282	9	ground	ground	NN
20165	282	10	plane	plane	NN
20165	282	11	,	,	,
20165	282	12	and	and	CC
20165	282	13	are	be	VBP
20165	282	14	also	also	RB
20165	282	15	at	at	IN
20165	282	16	right	right	JJ
20165	282	17	angles	angle	NNS
20165	282	18	to	to	IN
20165	282	19	the	the	DT
20165	282	20	picture	picture	NN
20165	282	21	plane	plane	NN
20165	282	22	_	_	NNP
20165	282	23	K	K	NNP
20165	282	24	_	_	NNP
20165	282	25	.	.	.
20165	283	1	It	-PRON-	PRP
20165	283	2	will	will	MD
20165	283	3	be	be	VB
20165	283	4	seen	see	VBN
20165	283	5	that	that	IN
20165	283	6	the	the	DT
20165	283	7	perspective	perspective	NN
20165	283	8	lines	line	NNS
20165	283	9	_	_	NNP
20165	283	10	Ba	Ba	NNP
20165	283	11	·	·	NFP
20165	283	12	_	_	NNP
20165	283	13	,	,	,
20165	283	14	_	_	NNP
20165	283	15	Dc	Dc	NNP
20165	283	16	·	·	NFP
20165	283	17	_	_	NNP
20165	283	18	,	,	,
20165	283	19	must	must	MD
20165	283	20	,	,	,
20165	283	21	according	accord	VBG
20165	283	22	to	to	IN
20165	283	23	the	the	DT
20165	283	24	laws	law	NNS
20165	283	25	of	of	IN
20165	283	26	projection	projection	NN
20165	283	27	,	,	,
20165	283	28	be	be	VB
20165	283	29	drawn	draw	VBN
20165	283	30	to	to	IN
20165	283	31	the	the	DT
20165	283	32	point	point	NN
20165	283	33	of	of	IN
20165	283	34	sight	sight	NN
20165	283	35	.	.	.
20165	284	1	This	this	DT
20165	284	2	is	be	VBZ
20165	284	3	the	the	DT
20165	284	4	most	most	RBS
20165	284	5	important	important	JJ
20165	284	6	rule	rule	NN
20165	284	7	in	in	IN
20165	284	8	perspective	perspective	NN
20165	284	9	(	(	-LRB-
20165	284	10	see	see	VB
20165	284	11	Fig	Fig	NNP
20165	284	12	.	.	.
20165	285	1	7	7	CD
20165	285	2	at	at	IN
20165	285	3	beginning	beginning	NN
20165	285	4	of	of	IN
20165	285	5	Definitions	definition	NNS
20165	285	6	)	)	-RRB-
20165	285	7	.	.	.
20165	286	1	An	an	DT
20165	286	2	arrangement	arrangement	NN
20165	286	3	such	such	JJ
20165	286	4	as	as	IN
20165	286	5	there	there	RB
20165	286	6	indicated	indicate	VBN
20165	286	7	is	be	VBZ
20165	286	8	the	the	DT
20165	286	9	best	good	JJS
20165	286	10	means	mean	NNS
20165	286	11	of	of	IN
20165	286	12	illustrating	illustrate	VBG
20165	286	13	this	this	DT
20165	286	14	rule	rule	NN
20165	286	15	.	.	.
20165	287	1	But	but	CC
20165	287	2	instead	instead	RB
20165	287	3	of	of	IN
20165	287	4	tracing	trace	VBG
20165	287	5	the	the	DT
20165	287	6	outline	outline	NN
20165	287	7	of	of	IN
20165	287	8	the	the	DT
20165	287	9	square	square	NN
20165	287	10	or	or	CC
20165	287	11	cube	cube	NN
20165	287	12	on	on	IN
20165	287	13	the	the	DT
20165	287	14	glass	glass	NN
20165	287	15	,	,	,
20165	287	16	as	as	IN
20165	287	17	there	there	EX
20165	287	18	shown	show	VBN
20165	287	19	,	,	,
20165	287	20	I	-PRON-	PRP
20165	287	21	have	have	VBP
20165	287	22	a	a	DT
20165	287	23	hole	hole	NN
20165	287	24	drilled	drill	VBD
20165	287	25	through	through	RB
20165	287	26	at	at	IN
20165	287	27	the	the	DT
20165	287	28	point	point	NN
20165	287	29	_	_	NNP
20165	287	30	S	S	NNP
20165	287	31	_	_	NNP
20165	287	32	(	(	-LRB-
20165	287	33	Fig	Fig	NNP
20165	287	34	.	.	.
20165	288	1	29	29	CD
20165	288	2	)	)	-RRB-
20165	288	3	,	,	,
20165	288	4	which	which	WDT
20165	288	5	I	-PRON-	PRP
20165	288	6	select	select	VBP
20165	288	7	for	for	IN
20165	288	8	the	the	DT
20165	288	9	point	point	NN
20165	288	10	of	of	IN
20165	288	11	sight	sight	NN
20165	288	12	,	,	,
20165	288	13	and	and	CC
20165	288	14	through	through	IN
20165	288	15	which	which	WDT
20165	288	16	I	-PRON-	PRP
20165	288	17	pass	pass	VBP
20165	288	18	two	two	CD
20165	288	19	loose	loose	JJ
20165	288	20	strings	string	NNS
20165	288	21	_	_	NNP
20165	288	22	A	A	NNP
20165	288	23	_	_	NNP
20165	288	24	and	and	CC
20165	288	25	_	_	NNP
20165	288	26	B	B	NNP
20165	288	27	_	_	NNP
20165	288	28	,	,	,
20165	288	29	fixing	fix	VBG
20165	288	30	their	-PRON-	PRP$
20165	288	31	ends	end	NNS
20165	288	32	at	at	IN
20165	288	33	_	_	NNP
20165	288	34	S	S	NNP
20165	288	35	_	_	NNP
20165	288	36	.	.	.
20165	289	1	[	[	-LRB-
20165	289	2	Illustration	illustration	NN
20165	289	3	:	:	:
20165	289	4	Fig	Fig	NNP
20165	289	5	.	.	.
20165	290	1	28	28	CD
20165	290	2	.	.	.
20165	290	3	]	]	-RRB-
20165	291	1	[	[	-LRB-
20165	291	2	Illustration	illustration	NN
20165	291	3	:	:	:
20165	291	4	Fig	Fig	NNP
20165	291	5	.	.	.
20165	292	1	29	29	CD
20165	292	2	.	.	.
20165	292	3	]	]	-RRB-
20165	293	1	As	as	IN
20165	293	2	_	_	NNP
20165	293	3	SD	SD	NNP
20165	293	4	_	_	NNP
20165	293	5	represents	represent	VBZ
20165	293	6	the	the	DT
20165	293	7	distance	distance	NN
20165	293	8	the	the	DT
20165	293	9	spectator	spectator	NN
20165	293	10	is	be	VBZ
20165	293	11	from	from	IN
20165	293	12	the	the	DT
20165	293	13	glass	glass	NN
20165	293	14	or	or	CC
20165	293	15	picture	picture	NN
20165	293	16	,	,	,
20165	293	17	I	-PRON-	PRP
20165	293	18	make	make	VBP
20165	293	19	string	string	NN
20165	293	20	_	_	NNP
20165	293	21	SA	SA	NNP
20165	293	22	_	_	NNP
20165	293	23	equal	equal	JJ
20165	293	24	in	in	IN
20165	293	25	length	length	NN
20165	293	26	to	to	IN
20165	293	27	_	_	NNP
20165	293	28	SD	SD	NNP
20165	293	29	_	_	NNP
20165	293	30	.	.	.
20165	294	1	Now	now	RB
20165	294	2	if	if	IN
20165	294	3	the	the	DT
20165	294	4	pupil	pupil	NN
20165	294	5	takes	take	VBZ
20165	294	6	this	this	DT
20165	294	7	string	string	NN
20165	294	8	in	in	IN
20165	294	9	one	one	CD
20165	294	10	hand	hand	NN
20165	294	11	and	and	CC
20165	294	12	holds	hold	VBZ
20165	294	13	it	-PRON-	PRP
20165	294	14	at	at	IN
20165	294	15	right	right	JJ
20165	294	16	angles	angle	NNS
20165	294	17	to	to	IN
20165	294	18	the	the	DT
20165	294	19	glass	glass	NN
20165	294	20	,	,	,
20165	294	21	that	that	RB
20165	294	22	is	is	RB
20165	294	23	,	,	,
20165	294	24	exactly	exactly	RB
20165	294	25	in	in	IN
20165	294	26	front	front	NN
20165	294	27	of	of	IN
20165	294	28	_	_	NNP
20165	294	29	S	S	NNP
20165	294	30	_	_	NNP
20165	294	31	,	,	,
20165	294	32	and	and	CC
20165	294	33	then	then	RB
20165	294	34	places	place	VBZ
20165	294	35	one	one	CD
20165	294	36	eye	eye	NN
20165	294	37	at	at	IN
20165	294	38	the	the	DT
20165	294	39	end	end	NN
20165	294	40	_	_	NNP
20165	294	41	A	A	NNP
20165	294	42	_	_	NNP
20165	294	43	(	(	-LRB-
20165	294	44	of	of	RB
20165	294	45	course	course	NN
20165	294	46	with	with	IN
20165	294	47	the	the	DT
20165	294	48	string	string	NN
20165	294	49	extended	extend	VBN
20165	294	50	)	)	-RRB-
20165	294	51	,	,	,
20165	294	52	he	-PRON-	PRP
20165	294	53	will	will	MD
20165	294	54	be	be	VB
20165	294	55	at	at	IN
20165	294	56	the	the	DT
20165	294	57	proper	proper	JJ
20165	294	58	distance	distance	NN
20165	294	59	from	from	IN
20165	294	60	the	the	DT
20165	294	61	picture	picture	NN
20165	294	62	.	.	.
20165	295	1	Let	let	VB
20165	295	2	him	-PRON-	PRP
20165	295	3	then	then	RB
20165	295	4	take	take	VB
20165	295	5	the	the	DT
20165	295	6	other	other	JJ
20165	295	7	string	string	NN
20165	295	8	,	,	,
20165	295	9	_	_	NNP
20165	295	10	SB	SB	NNP
20165	295	11	_	_	NNP
20165	295	12	,	,	,
20165	295	13	in	in	IN
20165	295	14	the	the	DT
20165	295	15	other	other	JJ
20165	295	16	hand	hand	NN
20165	295	17	,	,	,
20165	295	18	and	and	CC
20165	295	19	apply	apply	VB
20165	295	20	it	-PRON-	PRP
20165	295	21	to	to	TO
20165	295	22	point	point	VB
20165	295	23	_	_	NNP
20165	295	24	b	b	NNP
20165	295	25	´	´	CD
20165	295	26	_	_	NNP
20165	295	27	where	where	WRB
20165	295	28	the	the	DT
20165	295	29	square	square	NN
20165	295	30	touches	touch	VBZ
20165	295	31	the	the	DT
20165	295	32	glass	glass	NN
20165	295	33	,	,	,
20165	295	34	and	and	CC
20165	295	35	he	-PRON-	PRP
20165	295	36	will	will	MD
20165	295	37	find	find	VB
20165	295	38	that	that	IN
20165	295	39	it	-PRON-	PRP
20165	295	40	exactly	exactly	RB
20165	295	41	tallies	tally	VBZ
20165	295	42	with	with	IN
20165	295	43	the	the	DT
20165	295	44	side	side	NN
20165	295	45	_	_	NNP
20165	295	46	b´f	b´f	NNP
20165	295	47	_	_	NNP
20165	295	48	of	of	IN
20165	295	49	the	the	DT
20165	295	50	square	square	NN
20165	295	51	_	_	NNP
20165	295	52	a·b´fe	a·b´fe	NNP
20165	295	53	_	_	NNP
20165	295	54	.	.	.
20165	296	1	If	if	IN
20165	296	2	he	-PRON-	PRP
20165	296	3	applies	apply	VBZ
20165	296	4	the	the	DT
20165	296	5	same	same	JJ
20165	296	6	string	string	NN
20165	296	7	to	to	TO
20165	296	8	_	_	NNP
20165	296	9	a	a	DT
20165	296	10	·	·	NFP
20165	296	11	_	_	NNP
20165	296	12	,	,	,
20165	296	13	the	the	DT
20165	296	14	other	other	JJ
20165	296	15	corner	corner	NN
20165	296	16	of	of	IN
20165	296	17	the	the	DT
20165	296	18	square	square	NN
20165	296	19	,	,	,
20165	296	20	his	-PRON-	PRP$
20165	296	21	string	string	NN
20165	296	22	will	will	MD
20165	296	23	exactly	exactly	RB
20165	296	24	tally	tally	VB
20165	296	25	or	or	CC
20165	296	26	cover	cover	VB
20165	296	27	the	the	DT
20165	296	28	side	side	NN
20165	296	29	_	_	NNP
20165	296	30	a·e	a·e	NNP
20165	296	31	_	_	NNP
20165	296	32	,	,	,
20165	296	33	and	and	CC
20165	296	34	he	-PRON-	PRP
20165	296	35	will	will	MD
20165	296	36	thus	thus	RB
20165	296	37	have	have	VB
20165	296	38	ocular	ocular	JJ
20165	296	39	demonstration	demonstration	NN
20165	296	40	of	of	IN
20165	296	41	this	this	DT
20165	296	42	important	important	JJ
20165	296	43	rule	rule	NN
20165	296	44	.	.	.
20165	297	1	In	in	IN
20165	297	2	this	this	DT
20165	297	3	little	little	JJ
20165	297	4	picture	picture	NN
20165	297	5	(	(	-LRB-
20165	297	6	Fig	fig	NN
20165	297	7	.	.	.
20165	298	1	30	30	CD
20165	298	2	)	)	-RRB-
20165	298	3	in	in	IN
20165	298	4	parallel	parallel	JJ
20165	298	5	perspective	perspective	NN
20165	298	6	it	-PRON-	PRP
20165	298	7	will	will	MD
20165	298	8	be	be	VB
20165	298	9	seen	see	VBN
20165	298	10	that	that	IN
20165	298	11	the	the	DT
20165	298	12	lines	line	NNS
20165	298	13	which	which	WDT
20165	298	14	retreat	retreat	VBP
20165	298	15	from	from	IN
20165	298	16	us	-PRON-	PRP
20165	298	17	at	at	IN
20165	298	18	right	right	JJ
20165	298	19	angles	angle	NNS
20165	298	20	to	to	IN
20165	298	21	the	the	DT
20165	298	22	picture	picture	NN
20165	298	23	plane	plane	NN
20165	298	24	are	be	VBP
20165	298	25	directed	direct	VBN
20165	298	26	to	to	IN
20165	298	27	the	the	DT
20165	298	28	point	point	NN
20165	298	29	of	of	IN
20165	298	30	sight	sight	NN
20165	298	31	_	_	NNP
20165	298	32	S	S	NNP
20165	298	33	_	_	NNP
20165	298	34	.	.	.
20165	299	1	[	[	-LRB-
20165	299	2	Illustration	illustration	NN
20165	299	3	:	:	:
20165	299	4	Fig	Fig	NNP
20165	299	5	.	.	.
20165	300	1	30	30	CD
20165	300	2	.	.	.
20165	300	3	]	]	-RRB-
20165	301	1	RULE	RULE	NNP
20165	301	2	6	6	CD
20165	301	3	All	all	DT
20165	301	4	horizontals	horizontal	NNS
20165	301	5	which	which	WDT
20165	301	6	are	be	VBP
20165	301	7	at	at	IN
20165	301	8	45	45	CD
20165	301	9	°	°	NNS
20165	301	10	,	,	,
20165	301	11	or	or	CC
20165	301	12	half	half	PDT
20165	301	13	a	a	DT
20165	301	14	right	right	JJ
20165	301	15	angle	angle	NN
20165	301	16	to	to	IN
20165	301	17	the	the	DT
20165	301	18	picture	picture	NN
20165	301	19	plane	plane	NN
20165	301	20	,	,	,
20165	301	21	are	be	VBP
20165	301	22	drawn	draw	VBN
20165	301	23	to	to	IN
20165	301	24	the	the	DT
20165	301	25	point	point	NN
20165	301	26	of	of	IN
20165	301	27	distance	distance	NN
20165	301	28	.	.	.
20165	302	1	We	-PRON-	PRP
20165	302	2	have	have	VBP
20165	302	3	already	already	RB
20165	302	4	seen	see	VBN
20165	302	5	that	that	IN
20165	302	6	the	the	DT
20165	302	7	diagonal	diagonal	JJ
20165	302	8	of	of	IN
20165	302	9	the	the	DT
20165	302	10	perspective	perspective	NN
20165	302	11	square	square	NN
20165	302	12	,	,	,
20165	302	13	if	if	IN
20165	302	14	produced	produce	VBN
20165	302	15	to	to	TO
20165	302	16	meet	meet	VB
20165	302	17	the	the	DT
20165	302	18	horizon	horizon	NN
20165	302	19	on	on	IN
20165	302	20	the	the	DT
20165	302	21	picture	picture	NN
20165	302	22	,	,	,
20165	302	23	will	will	MD
20165	302	24	mark	mark	VB
20165	302	25	on	on	IN
20165	302	26	that	that	DT
20165	302	27	horizon	horizon	NN
20165	302	28	the	the	DT
20165	302	29	distance	distance	NN
20165	302	30	that	that	IN
20165	302	31	the	the	DT
20165	302	32	spectator	spectator	NN
20165	302	33	is	be	VBZ
20165	302	34	from	from	IN
20165	302	35	the	the	DT
20165	302	36	point	point	NN
20165	302	37	of	of	IN
20165	302	38	sight	sight	NN
20165	302	39	(	(	-LRB-
20165	302	40	see	see	VB
20165	302	41	definition	definition	NN
20165	302	42	,	,	,
20165	302	43	p.	p.	NN
20165	302	44	16	16	CD
20165	302	45	)	)	-RRB-
20165	302	46	.	.	.
20165	303	1	This	this	DT
20165	303	2	point	point	NN
20165	303	3	of	of	IN
20165	303	4	distance	distance	NN
20165	303	5	becomes	become	VBZ
20165	303	6	then	then	RB
20165	303	7	the	the	DT
20165	303	8	measuring	measuring	NN
20165	303	9	point	point	NN
20165	303	10	for	for	IN
20165	303	11	all	all	DT
20165	303	12	horizontals	horizontal	NNS
20165	303	13	at	at	IN
20165	303	14	right	right	JJ
20165	303	15	angles	angle	NNS
20165	303	16	to	to	IN
20165	303	17	the	the	DT
20165	303	18	picture	picture	NN
20165	303	19	plane	plane	NN
20165	303	20	.	.	.
20165	304	1	Thus	thus	RB
20165	304	2	in	in	IN
20165	304	3	Fig	Fig	NNP
20165	304	4	.	.	.
20165	305	1	31	31	CD
20165	305	2	lines	line	NNS
20165	305	3	_	_	NNP
20165	305	4	AS	AS	NNP
20165	305	5	_	_	NNP
20165	305	6	and	and	CC
20165	305	7	_	_	NNP
20165	305	8	BS	BS	NNP
20165	305	9	_	_	NNP
20165	305	10	are	be	VBP
20165	305	11	drawn	draw	VBN
20165	305	12	to	to	IN
20165	305	13	the	the	DT
20165	305	14	point	point	NN
20165	305	15	of	of	IN
20165	305	16	sight	sight	NN
20165	305	17	_	_	NNP
20165	305	18	S	S	NNP
20165	305	19	_	_	NNP
20165	305	20	,	,	,
20165	305	21	and	and	CC
20165	305	22	are	be	VBP
20165	305	23	therefore	therefore	RB
20165	305	24	at	at	IN
20165	305	25	right	right	JJ
20165	305	26	angles	angle	NNS
20165	305	27	to	to	IN
20165	305	28	the	the	DT
20165	305	29	base	base	NN
20165	305	30	_	_	NNP
20165	305	31	AB	AB	NNP
20165	305	32	_	_	NNP
20165	305	33	.	.	.
20165	306	1	_	_	NNP
20165	306	2	AD	AD	NNP
20165	306	3	_	_	NNP
20165	306	4	being	be	VBG
20165	306	5	drawn	draw	VBN
20165	306	6	to	to	IN
20165	306	7	_	_	NNP
20165	306	8	D	D	NNP
20165	306	9	_	_	NNP
20165	306	10	(	(	-LRB-
20165	306	11	the	the	DT
20165	306	12	distance	distance	NN
20165	306	13	-	-	HYPH
20165	306	14	point	point	NN
20165	306	15	)	)	-RRB-
20165	306	16	,	,	,
20165	306	17	is	be	VBZ
20165	306	18	at	at	IN
20165	306	19	an	an	DT
20165	306	20	angle	angle	NN
20165	306	21	of	of	IN
20165	306	22	45	45	CD
20165	306	23	°	°	NNS
20165	306	24	to	to	IN
20165	306	25	the	the	DT
20165	306	26	base	base	NN
20165	306	27	_	_	NNP
20165	306	28	AB	AB	NNP
20165	306	29	_	_	NNP
20165	306	30	,	,	,
20165	306	31	and	and	CC
20165	306	32	_	_	NNP
20165	306	33	AC	AC	NNP
20165	306	34	_	_	NNP
20165	306	35	is	be	VBZ
20165	306	36	therefore	therefore	RB
20165	306	37	the	the	DT
20165	306	38	diagonal	diagonal	NN
20165	306	39	of	of	IN
20165	306	40	a	a	DT
20165	306	41	square	square	NN
20165	306	42	.	.	.
20165	307	1	The	the	DT
20165	307	2	line	line	NN
20165	307	3	1C	1c	NN
20165	307	4	is	be	VBZ
20165	307	5	made	make	VBN
20165	307	6	parallel	parallel	JJ
20165	307	7	to	to	IN
20165	307	8	_	_	NNP
20165	307	9	AB	AB	NNP
20165	307	10	_	_	NNP
20165	307	11	,	,	,
20165	307	12	consequently	consequently	RB
20165	307	13	A1CB	a1cb	NN
20165	307	14	is	be	VBZ
20165	307	15	a	a	DT
20165	307	16	square	square	NN
20165	307	17	in	in	IN
20165	307	18	perspective	perspective	NN
20165	307	19	.	.	.
20165	308	1	The	the	DT
20165	308	2	line	line	NN
20165	308	3	_	_	NNP
20165	308	4	BC	BC	NNP
20165	308	5	_	_	NNP
20165	308	6	,	,	,
20165	308	7	therefore	therefore	RB
20165	308	8	,	,	,
20165	308	9	being	be	VBG
20165	308	10	one	one	CD
20165	308	11	side	side	NN
20165	308	12	of	of	IN
20165	308	13	that	that	DT
20165	308	14	square	square	NN
20165	308	15	,	,	,
20165	308	16	is	be	VBZ
20165	308	17	equal	equal	JJ
20165	308	18	to	to	IN
20165	308	19	_	_	NNP
20165	308	20	AB	AB	NNP
20165	308	21	_	_	NNP
20165	308	22	,	,	,
20165	308	23	another	another	DT
20165	308	24	side	side	NN
20165	308	25	of	of	IN
20165	308	26	it	-PRON-	PRP
20165	308	27	.	.	.
20165	309	1	So	so	IN
20165	309	2	that	that	DT
20165	309	3	to	to	TO
20165	309	4	measure	measure	VB
20165	309	5	a	a	DT
20165	309	6	length	length	NN
20165	309	7	on	on	IN
20165	309	8	a	a	DT
20165	309	9	line	line	NN
20165	309	10	drawn	draw	VBN
20165	309	11	to	to	IN
20165	309	12	the	the	DT
20165	309	13	point	point	NN
20165	309	14	of	of	IN
20165	309	15	sight	sight	NN
20165	309	16	,	,	,
20165	309	17	such	such	JJ
20165	309	18	as	as	IN
20165	309	19	_	_	NNP
20165	309	20	BS	BS	NNP
20165	309	21	_	_	NNP
20165	309	22	,	,	,
20165	309	23	we	-PRON-	PRP
20165	309	24	set	set	VBD
20165	309	25	out	out	RP
20165	309	26	the	the	DT
20165	309	27	length	length	NN
20165	309	28	required	require	VBN
20165	309	29	,	,	,
20165	309	30	say	say	VBP
20165	309	31	_	_	NNP
20165	309	32	BA	BA	NNP
20165	309	33	_	_	NNP
20165	309	34	,	,	,
20165	309	35	on	on	IN
20165	309	36	the	the	DT
20165	309	37	base	base	NN
20165	309	38	-	-	HYPH
20165	309	39	line	line	NN
20165	309	40	,	,	,
20165	309	41	then	then	RB
20165	309	42	from	from	IN
20165	309	43	_	_	NNP
20165	309	44	A	A	NNP
20165	309	45	_	_	NNP
20165	309	46	draw	draw	VBP
20165	309	47	a	a	DT
20165	309	48	line	line	NN
20165	309	49	to	to	IN
20165	309	50	the	the	DT
20165	309	51	point	point	NN
20165	309	52	of	of	IN
20165	309	53	distance	distance	NN
20165	309	54	,	,	,
20165	309	55	and	and	CC
20165	309	56	where	where	WRB
20165	309	57	it	-PRON-	PRP
20165	309	58	cuts	cut	VBZ
20165	309	59	_	_	NNP
20165	309	60	BS	BS	NNP
20165	309	61	_	_	NNP
20165	309	62	at	at	IN
20165	309	63	_	_	NNP
20165	309	64	C	C	NNP
20165	309	65	_	_	NNP
20165	309	66	is	be	VBZ
20165	309	67	the	the	DT
20165	309	68	length	length	NN
20165	309	69	required	require	VBN
20165	309	70	.	.	.
20165	310	1	This	this	DT
20165	310	2	can	can	MD
20165	310	3	be	be	VB
20165	310	4	repeated	repeat	VBN
20165	310	5	any	any	DT
20165	310	6	number	number	NN
20165	310	7	of	of	IN
20165	310	8	times	time	NNS
20165	310	9	,	,	,
20165	310	10	say	say	VB
20165	310	11	five	five	CD
20165	310	12	,	,	,
20165	310	13	so	so	IN
20165	310	14	that	that	IN
20165	310	15	in	in	IN
20165	310	16	this	this	DT
20165	310	17	figure	figure	NN
20165	310	18	_	_	NNP
20165	310	19	BE	BE	NNP
20165	310	20	_	_	NNP
20165	310	21	is	be	VBZ
20165	310	22	five	five	CD
20165	310	23	times	time	NNS
20165	310	24	the	the	DT
20165	310	25	length	length	NN
20165	310	26	of	of	IN
20165	310	27	_	_	NNP
20165	310	28	AB	AB	NNP
20165	310	29	_	_	NNP
20165	310	30	.	.	.
20165	311	1	[	[	-LRB-
20165	311	2	Illustration	illustration	NN
20165	311	3	:	:	:
20165	311	4	Fig	Fig	NNP
20165	311	5	.	.	.
20165	312	1	31	31	CD
20165	312	2	.	.	.
20165	312	3	]	]	-RRB-
20165	313	1	RULE	RULE	NNP
20165	313	2	7	7	CD
20165	313	3	All	all	DT
20165	313	4	horizontals	horizontal	NNS
20165	313	5	forming	form	VBG
20165	313	6	any	any	DT
20165	313	7	other	other	JJ
20165	313	8	angles	angle	NNS
20165	313	9	but	but	CC
20165	313	10	the	the	DT
20165	313	11	above	above	JJ
20165	313	12	are	be	VBP
20165	313	13	drawn	draw	VBN
20165	313	14	to	to	IN
20165	313	15	some	some	DT
20165	313	16	other	other	JJ
20165	313	17	points	point	NNS
20165	313	18	on	on	IN
20165	313	19	the	the	DT
20165	313	20	horizontal	horizontal	JJ
20165	313	21	line	line	NN
20165	313	22	.	.	.
20165	314	1	If	if	IN
20165	314	2	the	the	DT
20165	314	3	angle	angle	NN
20165	314	4	is	be	VBZ
20165	314	5	greater	great	JJR
20165	314	6	than	than	IN
20165	314	7	half	half	PDT
20165	314	8	a	a	DT
20165	314	9	right	right	JJ
20165	314	10	angle	angle	NN
20165	314	11	(	(	-LRB-
20165	314	12	Fig	fig	NN
20165	314	13	.	.	.
20165	315	1	32	32	CD
20165	315	2	)	)	-RRB-
20165	315	3	,	,	,
20165	315	4	as	as	IN
20165	315	5	_	_	NNP
20165	315	6	EBG	EBG	NNP
20165	315	7	_	_	NNP
20165	315	8	,	,	,
20165	315	9	the	the	DT
20165	315	10	point	point	NN
20165	315	11	is	be	VBZ
20165	315	12	within	within	IN
20165	315	13	the	the	DT
20165	315	14	point	point	NN
20165	315	15	of	of	IN
20165	315	16	distance	distance	NN
20165	315	17	,	,	,
20165	315	18	as	as	IN
20165	315	19	at	at	IN
20165	315	20	_	_	NNP
20165	315	21	V	V	NNP
20165	315	22	´	´	NNP
20165	315	23	_	_	NNP
20165	315	24	.	.	.
20165	316	1	If	if	IN
20165	316	2	it	-PRON-	PRP
20165	316	3	is	be	VBZ
20165	316	4	less	less	JJR
20165	316	5	,	,	,
20165	316	6	as	as	IN
20165	316	7	_	_	NNP
20165	316	8	ABV	ABV	NNP
20165	316	9	´	´	CD
20165	316	10	´	´	CD
20165	316	11	_	_	NNP
20165	316	12	,	,	,
20165	316	13	then	then	RB
20165	316	14	it	-PRON-	PRP
20165	316	15	is	be	VBZ
20165	316	16	beyond	beyond	IN
20165	316	17	the	the	DT
20165	316	18	point	point	NN
20165	316	19	of	of	IN
20165	316	20	distance	distance	NN
20165	316	21	,	,	,
20165	316	22	and	and	CC
20165	316	23	consequently	consequently	RB
20165	316	24	farther	farther	RB
20165	316	25	from	from	IN
20165	316	26	the	the	DT
20165	316	27	point	point	NN
20165	316	28	of	of	IN
20165	316	29	sight	sight	NN
20165	316	30	.	.	.
20165	317	1	[	[	-LRB-
20165	317	2	Illustration	illustration	NN
20165	317	3	:	:	:
20165	317	4	Fig	Fig	NNP
20165	317	5	.	.	.
20165	318	1	32	32	CD
20165	318	2	.	.	.
20165	318	3	]	]	-RRB-
20165	319	1	In	in	IN
20165	319	2	Fig	Fig	NNP
20165	319	3	.	.	.
20165	320	1	32	32	CD
20165	320	2	,	,	,
20165	320	3	the	the	DT
20165	320	4	dotted	dotted	JJ
20165	320	5	line	line	NN
20165	320	6	_	_	NNP
20165	320	7	BD	BD	NNP
20165	320	8	_	_	NNP
20165	320	9	,	,	,
20165	320	10	drawn	draw	VBN
20165	320	11	to	to	IN
20165	320	12	the	the	DT
20165	320	13	point	point	NN
20165	320	14	of	of	IN
20165	320	15	distance	distance	NN
20165	320	16	_	_	NNP
20165	320	17	D	D	NNP
20165	320	18	_	_	NNP
20165	320	19	,	,	,
20165	320	20	is	be	VBZ
20165	320	21	at	at	IN
20165	320	22	an	an	DT
20165	320	23	angle	angle	NN
20165	320	24	of	of	IN
20165	320	25	45	45	CD
20165	320	26	°	°	NNS
20165	320	27	to	to	IN
20165	320	28	the	the	DT
20165	320	29	base	base	NN
20165	320	30	_	_	NNP
20165	320	31	AG	AG	NNP
20165	320	32	_	_	NNP
20165	320	33	.	.	.
20165	321	1	It	-PRON-	PRP
20165	321	2	will	will	MD
20165	321	3	be	be	VB
20165	321	4	seen	see	VBN
20165	321	5	that	that	IN
20165	321	6	the	the	DT
20165	321	7	line	line	NN
20165	321	8	_	_	NNP
20165	321	9	BV	BV	NNP
20165	321	10	´	´	NNP
20165	321	11	_	_	NNP
20165	321	12	is	be	VBZ
20165	321	13	at	at	IN
20165	321	14	a	a	DT
20165	321	15	greater	great	JJR
20165	321	16	angle	angle	NN
20165	321	17	to	to	IN
20165	321	18	the	the	DT
20165	321	19	base	base	NN
20165	321	20	than	than	IN
20165	321	21	_	_	NNP
20165	321	22	BD	BD	NNP
20165	321	23	_	_	NNP
20165	321	24	;	;	:
20165	321	25	it	-PRON-	PRP
20165	321	26	is	be	VBZ
20165	321	27	therefore	therefore	RB
20165	321	28	drawn	draw	VBN
20165	321	29	to	to	IN
20165	321	30	a	a	DT
20165	321	31	point	point	NN
20165	321	32	_	_	NNP
20165	321	33	V	V	NNP
20165	321	34	´	´	NNP
20165	321	35	_	_	NNP
20165	321	36	,	,	,
20165	321	37	within	within	IN
20165	321	38	the	the	DT
20165	321	39	point	point	NN
20165	321	40	of	of	IN
20165	321	41	distance	distance	NN
20165	321	42	and	and	CC
20165	321	43	nearer	nearer	NN
20165	321	44	to	to	IN
20165	321	45	the	the	DT
20165	321	46	point	point	NN
20165	321	47	of	of	IN
20165	321	48	sight	sight	NN
20165	321	49	_	_	NNP
20165	321	50	S	S	NNP
20165	321	51	_	_	NNP
20165	321	52	.	.	.
20165	322	1	On	on	IN
20165	322	2	the	the	DT
20165	322	3	other	other	JJ
20165	322	4	hand	hand	NN
20165	322	5	,	,	,
20165	322	6	the	the	DT
20165	322	7	line	line	NN
20165	322	8	_	_	NNP
20165	322	9	BV	BV	NNP
20165	322	10	´	´	NNP
20165	322	11	´	´	CD
20165	322	12	_	_	NNP
20165	322	13	is	be	VBZ
20165	322	14	at	at	IN
20165	322	15	a	a	DT
20165	322	16	more	more	RBR
20165	322	17	acute	acute	JJ
20165	322	18	angle	angle	NN
20165	322	19	,	,	,
20165	322	20	and	and	CC
20165	322	21	is	be	VBZ
20165	322	22	therefore	therefore	RB
20165	322	23	drawn	draw	VBN
20165	322	24	to	to	IN
20165	322	25	a	a	DT
20165	322	26	point	point	NN
20165	322	27	some	some	DT
20165	322	28	way	way	NN
20165	322	29	beyond	beyond	IN
20165	322	30	the	the	DT
20165	322	31	other	other	JJ
20165	322	32	distance	distance	NN
20165	322	33	point	point	NN
20165	322	34	.	.	.
20165	323	1	_	_	NNP
20165	323	2	Note._--When	Note._--When	NNP
20165	323	3	this	this	DT
20165	323	4	vanishing	vanish	VBG
20165	323	5	point	point	NN
20165	323	6	is	be	VBZ
20165	323	7	a	a	DT
20165	323	8	long	long	JJ
20165	323	9	way	way	NN
20165	323	10	outside	outside	IN
20165	323	11	the	the	DT
20165	323	12	picture	picture	NN
20165	323	13	,	,	,
20165	323	14	the	the	DT
20165	323	15	architects	architect	NNS
20165	323	16	make	make	VBP
20165	323	17	use	use	NN
20165	323	18	of	of	IN
20165	323	19	a	a	DT
20165	323	20	centrolinead	centrolinead	NN
20165	323	21	,	,	,
20165	323	22	and	and	CC
20165	323	23	the	the	DT
20165	323	24	painters	painter	NNS
20165	323	25	fix	fix	VBP
20165	323	26	a	a	DT
20165	323	27	long	long	JJ
20165	323	28	string	string	NN
20165	323	29	at	at	IN
20165	323	30	the	the	DT
20165	323	31	required	require	VBN
20165	323	32	point	point	NN
20165	323	33	,	,	,
20165	323	34	and	and	CC
20165	323	35	get	get	VB
20165	323	36	their	-PRON-	PRP$
20165	323	37	perspective	perspective	JJ
20165	323	38	lines	line	NNS
20165	323	39	by	by	IN
20165	323	40	that	that	DT
20165	323	41	means	mean	VBZ
20165	323	42	,	,	,
20165	323	43	which	which	WDT
20165	323	44	is	be	VBZ
20165	323	45	very	very	RB
20165	323	46	inconvenient	inconvenient	JJ
20165	323	47	.	.	.
20165	324	1	But	but	CC
20165	324	2	I	-PRON-	PRP
20165	324	3	will	will	MD
20165	324	4	show	show	VB
20165	324	5	you	-PRON-	PRP
20165	324	6	later	later	RB
20165	324	7	on	on	IN
20165	324	8	how	how	WRB
20165	324	9	you	-PRON-	PRP
20165	324	10	can	can	MD
20165	324	11	dispense	dispense	VB
20165	324	12	with	with	IN
20165	324	13	this	this	DT
20165	324	14	trouble	trouble	NN
20165	324	15	by	by	IN
20165	324	16	a	a	DT
20165	324	17	very	very	RB
20165	324	18	simple	simple	JJ
20165	324	19	means	means	NN
20165	324	20	,	,	,
20165	324	21	with	with	IN
20165	324	22	equally	equally	RB
20165	324	23	correct	correct	JJ
20165	324	24	results	result	NNS
20165	324	25	.	.	.
20165	325	1	RULE	RULE	NNP
20165	325	2	8	8	CD
20165	325	3	Lines	line	NNS
20165	325	4	which	which	WDT
20165	325	5	incline	incline	VBP
20165	325	6	upwards	upward	NNS
20165	325	7	have	have	VBP
20165	325	8	their	-PRON-	PRP$
20165	325	9	vanishing	vanish	VBG
20165	325	10	points	point	NNS
20165	325	11	above	above	IN
20165	325	12	the	the	DT
20165	325	13	horizontal	horizontal	JJ
20165	325	14	line	line	NN
20165	325	15	,	,	,
20165	325	16	and	and	CC
20165	325	17	those	those	DT
20165	325	18	which	which	WDT
20165	325	19	incline	incline	VBP
20165	325	20	downwards	downward	NNS
20165	325	21	,	,	,
20165	325	22	below	below	IN
20165	325	23	it	-PRON-	PRP
20165	325	24	.	.	.
20165	326	1	In	in	IN
20165	326	2	both	both	DT
20165	326	3	cases	case	NNS
20165	326	4	they	-PRON-	PRP
20165	326	5	are	be	VBP
20165	326	6	on	on	IN
20165	326	7	the	the	DT
20165	326	8	vertical	vertical	JJ
20165	326	9	which	which	WDT
20165	326	10	passes	pass	VBZ
20165	326	11	through	through	IN
20165	326	12	the	the	DT
20165	326	13	vanishing	vanishing	JJ
20165	326	14	point	point	NN
20165	326	15	(	(	-LRB-
20165	326	16	_	_	NNP
20165	326	17	S	S	NNP
20165	326	18	_	_	NNP
20165	326	19	)	)	-RRB-
20165	326	20	of	of	IN
20165	326	21	their	-PRON-	PRP$
20165	326	22	horizontal	horizontal	JJ
20165	326	23	projections	projection	NNS
20165	326	24	.	.	.
20165	327	1	[	[	-LRB-
20165	327	2	Illustration	illustration	NN
20165	327	3	:	:	:
20165	327	4	Fig	Fig	NNP
20165	327	5	.	.	.
20165	328	1	33	33	CD
20165	328	2	.	.	.
20165	328	3	]	]	-RRB-
20165	329	1	This	this	DT
20165	329	2	rule	rule	NN
20165	329	3	is	be	VBZ
20165	329	4	useful	useful	JJ
20165	329	5	in	in	IN
20165	329	6	drawing	draw	VBG
20165	329	7	steps	step	NNS
20165	329	8	,	,	,
20165	329	9	or	or	CC
20165	329	10	roads	road	NNS
20165	329	11	going	go	VBG
20165	329	12	uphill	uphill	RB
20165	329	13	and	and	CC
20165	329	14	downhill	downhill	RB
20165	329	15	.	.	.
20165	330	1	[	[	-LRB-
20165	330	2	Illustration	illustration	NN
20165	330	3	:	:	:
20165	330	4	Fig	Fig	NNP
20165	330	5	.	.	.
20165	331	1	34	34	CD
20165	331	2	.	.	.
20165	331	3	]	]	-RRB-
20165	332	1	RULE	RULE	NNP
20165	332	2	9	9	CD
20165	332	3	The	the	DT
20165	332	4	farther	far	RBR
20165	332	5	a	a	DT
20165	332	6	point	point	NN
20165	332	7	is	be	VBZ
20165	332	8	removed	remove	VBN
20165	332	9	from	from	IN
20165	332	10	the	the	DT
20165	332	11	picture	picture	NN
20165	332	12	plane	plane	NN
20165	332	13	the	the	DT
20165	332	14	nearer	nearer	NN
20165	332	15	does	do	VBZ
20165	332	16	its	-PRON-	PRP$
20165	332	17	perspective	perspective	JJ
20165	332	18	appearance	appearance	NN
20165	332	19	approach	approach	VB
20165	332	20	the	the	DT
20165	332	21	horizontal	horizontal	JJ
20165	332	22	line	line	NN
20165	332	23	so	so	RB
20165	332	24	long	long	RB
20165	332	25	as	as	IN
20165	332	26	it	-PRON-	PRP
20165	332	27	is	be	VBZ
20165	332	28	viewed	view	VBN
20165	332	29	from	from	IN
20165	332	30	the	the	DT
20165	332	31	same	same	JJ
20165	332	32	position	position	NN
20165	332	33	.	.	.
20165	333	1	On	on	IN
20165	333	2	the	the	DT
20165	333	3	contrary	contrary	NN
20165	333	4	,	,	,
20165	333	5	if	if	IN
20165	333	6	the	the	DT
20165	333	7	spectator	spectator	NN
20165	333	8	retreats	retreat	NNS
20165	333	9	from	from	IN
20165	333	10	the	the	DT
20165	333	11	picture	picture	NN
20165	333	12	plane	plane	NN
20165	333	13	_	_	NNP
20165	333	14	K	K	NNP
20165	333	15	_	_	NNP
20165	333	16	(	(	-LRB-
20165	333	17	which	which	WDT
20165	333	18	we	-PRON-	PRP
20165	333	19	suppose	suppose	VBP
20165	333	20	to	to	TO
20165	333	21	be	be	VB
20165	333	22	transparent	transparent	JJ
20165	333	23	)	)	-RRB-
20165	333	24	,	,	,
20165	333	25	the	the	DT
20165	333	26	point	point	NN
20165	333	27	remaining	remain	VBG
20165	333	28	at	at	IN
20165	333	29	the	the	DT
20165	333	30	same	same	JJ
20165	333	31	place	place	NN
20165	333	32	,	,	,
20165	333	33	the	the	DT
20165	333	34	perspective	perspective	JJ
20165	333	35	appearance	appearance	NN
20165	333	36	of	of	IN
20165	333	37	this	this	DT
20165	333	38	point	point	NN
20165	333	39	will	will	MD
20165	333	40	approach	approach	VB
20165	333	41	the	the	DT
20165	333	42	ground	ground	NN
20165	333	43	-	-	HYPH
20165	333	44	line	line	NN
20165	333	45	in	in	IN
20165	333	46	proportion	proportion	NN
20165	333	47	to	to	IN
20165	333	48	the	the	DT
20165	333	49	distance	distance	NN
20165	333	50	of	of	IN
20165	333	51	the	the	DT
20165	333	52	spectator	spectator	NN
20165	333	53	.	.	.
20165	334	1	[	[	-LRB-
20165	334	2	Illustrations	illustration	NNS
20165	334	3	:	:	:
20165	334	4	Fig	fig	VB
20165	334	5	.	.	.
20165	335	1	35	35	CD
20165	335	2	.	.	.
20165	336	1	Fig	fig	NN
20165	336	2	.	.	.
20165	337	1	36	36	CD
20165	337	2	.	.	.
20165	338	1	The	the	DT
20165	338	2	spectator	spectator	NN
20165	338	3	at	at	IN
20165	338	4	two	two	CD
20165	338	5	different	different	JJ
20165	338	6	distances	distance	NNS
20165	338	7	from	from	IN
20165	338	8	the	the	DT
20165	338	9	picture	picture	NN
20165	338	10	.	.	.
20165	338	11	]	]	-RRB-
20165	339	1	Therefore	therefore	RB
20165	339	2	the	the	DT
20165	339	3	position	position	NN
20165	339	4	of	of	IN
20165	339	5	a	a	DT
20165	339	6	given	give	VBN
20165	339	7	point	point	NN
20165	339	8	in	in	IN
20165	339	9	perspective	perspective	NN
20165	339	10	above	above	IN
20165	339	11	the	the	DT
20165	339	12	ground	ground	NN
20165	339	13	-	-	HYPH
20165	339	14	line	line	NN
20165	339	15	or	or	CC
20165	339	16	below	below	IN
20165	339	17	the	the	DT
20165	339	18	horizon	horizon	NN
20165	339	19	is	be	VBZ
20165	339	20	in	in	IN
20165	339	21	proportion	proportion	NN
20165	339	22	to	to	IN
20165	339	23	the	the	DT
20165	339	24	distance	distance	NN
20165	339	25	of	of	IN
20165	339	26	the	the	DT
20165	339	27	spectator	spectator	NN
20165	339	28	from	from	IN
20165	339	29	the	the	DT
20165	339	30	picture	picture	NN
20165	339	31	,	,	,
20165	339	32	or	or	CC
20165	339	33	the	the	DT
20165	339	34	picture	picture	NN
20165	339	35	from	from	IN
20165	339	36	the	the	DT
20165	339	37	point	point	NN
20165	339	38	.	.	.
20165	340	1	[	[	-LRB-
20165	340	2	Illustration	illustration	NN
20165	340	3	:	:	:
20165	340	4	Fig	Fig	NNP
20165	340	5	.	.	.
20165	341	1	37	37	CD
20165	341	2	.	.	.
20165	341	3	]	]	-RRB-
20165	342	1	[	[	-LRB-
20165	342	2	Illustrations	illustration	NNS
20165	342	3	:	:	:
20165	342	4	The	the	DT
20165	342	5	picture	picture	NN
20165	342	6	at	at	IN
20165	342	7	two	two	CD
20165	342	8	different	different	JJ
20165	342	9	distances	distance	NNS
20165	342	10	from	from	IN
20165	342	11	the	the	DT
20165	342	12	point	point	NN
20165	342	13	.	.	.
20165	343	1	Fig	fig	NN
20165	343	2	.	.	.
20165	344	1	38	38	CD
20165	344	2	.	.	.
20165	345	1	Fig	fig	NN
20165	345	2	.	.	.
20165	346	1	39	39	CD
20165	346	2	.	.	.
20165	346	3	]	]	-RRB-
20165	347	1	Figures	figure	NNS
20165	347	2	38	38	CD
20165	347	3	and	and	CC
20165	347	4	39	39	CD
20165	347	5	are	be	VBP
20165	347	6	two	two	CD
20165	347	7	views	view	NNS
20165	347	8	of	of	IN
20165	347	9	the	the	DT
20165	347	10	same	same	JJ
20165	347	11	gallery	gallery	NN
20165	347	12	from	from	IN
20165	347	13	different	different	JJ
20165	347	14	distances	distance	NNS
20165	347	15	.	.	.
20165	348	1	In	in	IN
20165	348	2	Fig	Fig	NNP
20165	348	3	.	.	.
20165	349	1	38	38	CD
20165	349	2	,	,	,
20165	349	3	where	where	WRB
20165	349	4	the	the	DT
20165	349	5	distance	distance	NN
20165	349	6	is	be	VBZ
20165	349	7	too	too	RB
20165	349	8	short	short	JJ
20165	349	9	,	,	,
20165	349	10	there	there	EX
20165	349	11	is	be	VBZ
20165	349	12	a	a	DT
20165	349	13	want	want	NN
20165	349	14	of	of	IN
20165	349	15	proportion	proportion	NN
20165	349	16	between	between	IN
20165	349	17	the	the	DT
20165	349	18	near	near	JJ
20165	349	19	and	and	CC
20165	349	20	far	far	JJ
20165	349	21	objects	object	NNS
20165	349	22	,	,	,
20165	349	23	which	which	WDT
20165	349	24	is	be	VBZ
20165	349	25	corrected	correct	VBN
20165	349	26	in	in	IN
20165	349	27	Fig	Fig	NNP
20165	349	28	.	.	.
20165	350	1	39	39	CD
20165	350	2	by	by	IN
20165	350	3	taking	take	VBG
20165	350	4	a	a	DT
20165	350	5	much	much	RB
20165	350	6	longer	long	JJR
20165	350	7	distance	distance	NN
20165	350	8	.	.	.
20165	351	1	RULE	RULE	NNP
20165	351	2	10	10	CD
20165	351	3	Horizontals	horizontal	NNS
20165	351	4	in	in	IN
20165	351	5	the	the	DT
20165	351	6	same	same	JJ
20165	351	7	plane	plane	NN
20165	351	8	which	which	WDT
20165	351	9	are	be	VBP
20165	351	10	drawn	draw	VBN
20165	351	11	to	to	IN
20165	351	12	the	the	DT
20165	351	13	same	same	JJ
20165	351	14	point	point	NN
20165	351	15	on	on	IN
20165	351	16	the	the	DT
20165	351	17	horizon	horizon	NN
20165	351	18	are	be	VBP
20165	351	19	parallel	parallel	JJ
20165	351	20	to	to	IN
20165	351	21	each	each	DT
20165	351	22	other	other	JJ
20165	351	23	.	.	.
20165	352	1	[	[	-LRB-
20165	352	2	Illustration	illustration	NN
20165	352	3	:	:	:
20165	352	4	Fig	Fig	NNP
20165	352	5	.	.	.
20165	353	1	40	40	CD
20165	353	2	.	.	.
20165	353	3	]	]	-RRB-
20165	354	1	This	this	DT
20165	354	2	is	be	VBZ
20165	354	3	a	a	DT
20165	354	4	very	very	RB
20165	354	5	important	important	JJ
20165	354	6	rule	rule	NN
20165	354	7	,	,	,
20165	354	8	for	for	IN
20165	354	9	all	all	PDT
20165	354	10	our	-PRON-	PRP$
20165	354	11	perspective	perspective	NN
20165	354	12	drawing	drawing	NN
20165	354	13	depends	depend	VBZ
20165	354	14	upon	upon	IN
20165	354	15	it	-PRON-	PRP
20165	354	16	.	.	.
20165	355	1	When	when	WRB
20165	355	2	we	-PRON-	PRP
20165	355	3	say	say	VBP
20165	355	4	that	that	IN
20165	355	5	parallels	parallel	NNS
20165	355	6	are	be	VBP
20165	355	7	drawn	draw	VBN
20165	355	8	to	to	IN
20165	355	9	the	the	DT
20165	355	10	same	same	JJ
20165	355	11	point	point	NN
20165	355	12	on	on	IN
20165	355	13	the	the	DT
20165	355	14	horizon	horizon	NN
20165	355	15	it	-PRON-	PRP
20165	355	16	does	do	VBZ
20165	355	17	not	not	RB
20165	355	18	imply	imply	VB
20165	355	19	that	that	IN
20165	355	20	they	-PRON-	PRP
20165	355	21	meet	meet	VBP
20165	355	22	at	at	IN
20165	355	23	that	that	DT
20165	355	24	point	point	NN
20165	355	25	,	,	,
20165	355	26	which	which	WDT
20165	355	27	would	would	MD
20165	355	28	be	be	VB
20165	355	29	a	a	DT
20165	355	30	contradiction	contradiction	NN
20165	355	31	;	;	:
20165	355	32	perspective	perspective	NN
20165	355	33	parallels	parallel	NNS
20165	355	34	never	never	RB
20165	355	35	reach	reach	VBP
20165	355	36	that	that	DT
20165	355	37	point	point	NN
20165	355	38	,	,	,
20165	355	39	although	although	IN
20165	355	40	they	-PRON-	PRP
20165	355	41	appear	appear	VBP
20165	355	42	to	to	TO
20165	355	43	do	do	VB
20165	355	44	so	so	RB
20165	355	45	.	.	.
20165	356	1	Fig	fig	NN
20165	356	2	.	.	.
20165	357	1	40	40	CD
20165	357	2	will	will	MD
20165	357	3	explain	explain	VB
20165	357	4	this	this	DT
20165	357	5	.	.	.
20165	358	1	Suppose	suppose	VB
20165	358	2	_	_	NNP
20165	358	3	S	S	NNP
20165	358	4	_	_	NNP
20165	358	5	to	to	TO
20165	358	6	be	be	VB
20165	358	7	the	the	DT
20165	358	8	spectator	spectator	NN
20165	358	9	,	,	,
20165	358	10	_	_	NNP
20165	358	11	AB	AB	NNP
20165	358	12	_	_	NNP
20165	358	13	a	a	DT
20165	358	14	transparent	transparent	JJ
20165	358	15	vertical	vertical	JJ
20165	358	16	plane	plane	NN
20165	358	17	which	which	WDT
20165	358	18	represents	represent	VBZ
20165	358	19	the	the	DT
20165	358	20	picture	picture	NN
20165	358	21	seen	see	VBN
20165	358	22	edgeways	edgeway	NNS
20165	358	23	,	,	,
20165	358	24	and	and	CC
20165	358	25	_	_	NNP
20165	358	26	HS	HS	NNP
20165	358	27	_	_	NNP
20165	358	28	and	and	CC
20165	358	29	_	_	NNP
20165	358	30	DC	DC	NNP
20165	358	31	_	_	NNP
20165	358	32	two	two	CD
20165	358	33	parallel	parallel	JJ
20165	358	34	lines	line	NNS
20165	358	35	,	,	,
20165	358	36	mark	mark	VB
20165	358	37	off	off	RP
20165	358	38	spaces	space	NNS
20165	358	39	between	between	IN
20165	358	40	these	these	DT
20165	358	41	parallels	parallel	NNS
20165	358	42	equal	equal	JJ
20165	358	43	to	to	IN
20165	358	44	_	_	NNP
20165	358	45	SC	SC	NNP
20165	358	46	_	_	NNP
20165	358	47	,	,	,
20165	358	48	the	the	DT
20165	358	49	height	height	NN
20165	358	50	of	of	IN
20165	358	51	the	the	DT
20165	358	52	eye	eye	NN
20165	358	53	of	of	IN
20165	358	54	the	the	DT
20165	358	55	spectator	spectator	NN
20165	358	56	,	,	,
20165	358	57	and	and	CC
20165	358	58	raise	raise	VB
20165	358	59	verticals	vertical	NNS
20165	358	60	2	2	CD
20165	358	61	,	,	,
20165	358	62	3	3	CD
20165	358	63	,	,	,
20165	358	64	4	4	CD
20165	358	65	,	,	,
20165	358	66	5	5	CD
20165	358	67	,	,	,
20165	358	68	&	&	CC
20165	358	69	c.	c.	NNP
20165	358	70	,	,	,
20165	358	71	forming	form	VBG
20165	358	72	so	so	RB
20165	358	73	many	many	JJ
20165	358	74	squares	square	NNS
20165	358	75	.	.	.
20165	359	1	Vertical	vertical	JJ
20165	359	2	line	line	NN
20165	359	3	2	2	CD
20165	359	4	viewed	view	VBD
20165	359	5	from	from	IN
20165	359	6	_	_	NNP
20165	359	7	S	S	NNP
20165	359	8	_	_	NNP
20165	359	9	will	will	MD
20165	359	10	appear	appear	VB
20165	359	11	on	on	IN
20165	359	12	_	_	NNP
20165	359	13	AB	AB	NNP
20165	359	14	_	_	NNP
20165	359	15	but	but	CC
20165	359	16	half	half	PDT
20165	359	17	its	-PRON-	PRP$
20165	359	18	length	length	NN
20165	359	19	,	,	,
20165	359	20	vertical	vertical	JJ
20165	359	21	3	3	CD
20165	359	22	will	will	MD
20165	359	23	be	be	VB
20165	359	24	only	only	RB
20165	359	25	a	a	DT
20165	359	26	third	third	JJ
20165	359	27	,	,	,
20165	359	28	vertical	vertical	JJ
20165	359	29	4	4	CD
20165	359	30	a	a	DT
20165	359	31	fourth	fourth	JJ
20165	359	32	,	,	,
20165	359	33	and	and	CC
20165	359	34	so	so	RB
20165	359	35	on	on	RB
20165	359	36	,	,	,
20165	359	37	and	and	CC
20165	359	38	if	if	IN
20165	359	39	we	-PRON-	PRP
20165	359	40	multiplied	multiply	VBD
20165	359	41	these	these	DT
20165	359	42	spaces	space	NNS
20165	359	43	_	_	NNP
20165	359	44	ad	ad	NN
20165	359	45	infinitum	infinitum	IN
20165	359	46	_	_	NNP
20165	359	47	we	-PRON-	PRP
20165	359	48	must	must	MD
20165	359	49	keep	keep	VB
20165	359	50	on	on	RP
20165	359	51	dividing	divide	VBG
20165	359	52	the	the	DT
20165	359	53	line	line	NN
20165	359	54	_	_	NNP
20165	359	55	AB	AB	NNP
20165	359	56	_	_	NNP
20165	359	57	by	by	IN
20165	359	58	the	the	DT
20165	359	59	same	same	JJ
20165	359	60	number	number	NN
20165	359	61	.	.	.
20165	360	1	So	so	CC
20165	360	2	if	if	IN
20165	360	3	we	-PRON-	PRP
20165	360	4	suppose	suppose	VBP
20165	360	5	_	_	NNP
20165	360	6	AB	AB	NNP
20165	360	7	_	_	NNP
20165	360	8	to	to	TO
20165	360	9	be	be	VB
20165	360	10	a	a	DT
20165	360	11	yard	yard	NN
20165	360	12	high	high	JJ
20165	360	13	and	and	CC
20165	360	14	the	the	DT
20165	360	15	distance	distance	NN
20165	360	16	from	from	IN
20165	360	17	one	one	CD
20165	360	18	vertical	vertical	NN
20165	360	19	to	to	IN
20165	360	20	another	another	DT
20165	360	21	to	to	TO
20165	360	22	be	be	VB
20165	360	23	also	also	RB
20165	360	24	a	a	DT
20165	360	25	yard	yard	NN
20165	360	26	,	,	,
20165	360	27	then	then	RB
20165	360	28	if	if	IN
20165	360	29	one	one	CD
20165	360	30	of	of	IN
20165	360	31	these	these	DT
20165	360	32	were	be	VBD
20165	360	33	a	a	DT
20165	360	34	thousand	thousand	CD
20165	360	35	yards	yard	NNS
20165	360	36	away	away	RB
20165	360	37	its	-PRON-	PRP$
20165	360	38	representation	representation	NN
20165	360	39	at	at	IN
20165	360	40	_	_	NNP
20165	360	41	AB	AB	NNP
20165	360	42	_	_	NNP
20165	360	43	would	would	MD
20165	360	44	be	be	VB
20165	360	45	the	the	DT
20165	360	46	thousandth	thousandth	JJ
20165	360	47	part	part	NN
20165	360	48	of	of	IN
20165	360	49	a	a	DT
20165	360	50	yard	yard	NN
20165	360	51	,	,	,
20165	360	52	or	or	CC
20165	360	53	ten	ten	CD
20165	360	54	thousand	thousand	CD
20165	360	55	yards	yard	NNS
20165	360	56	away	away	RB
20165	360	57	,	,	,
20165	360	58	its	-PRON-	PRP$
20165	360	59	representation	representation	NN
20165	360	60	at	at	IN
20165	360	61	_	_	NNP
20165	360	62	AB	AB	NNP
20165	360	63	_	_	NNP
20165	360	64	would	would	MD
20165	360	65	be	be	VB
20165	360	66	the	the	DT
20165	360	67	ten	ten	CD
20165	360	68	-	-	HYPH
20165	360	69	thousandth	thousandth	NN
20165	360	70	part	part	NN
20165	360	71	,	,	,
20165	360	72	and	and	CC
20165	360	73	whatever	whatever	WDT
20165	360	74	the	the	DT
20165	360	75	distance	distance	NN
20165	360	76	it	-PRON-	PRP
20165	360	77	must	must	MD
20165	360	78	always	always	RB
20165	360	79	be	be	VB
20165	360	80	something	something	NN
20165	360	81	;	;	:
20165	360	82	and	and	CC
20165	360	83	therefore	therefore	RB
20165	360	84	_	_	NNP
20165	360	85	HS	HS	NNP
20165	360	86	_	_	NNP
20165	360	87	and	and	CC
20165	360	88	_	_	NNP
20165	360	89	DC	DC	NNP
20165	360	90	_	_	NNP
20165	360	91	,	,	,
20165	360	92	however	however	RB
20165	360	93	far	far	RB
20165	360	94	they	-PRON-	PRP
20165	360	95	may	may	MD
20165	360	96	be	be	VB
20165	360	97	produced	produce	VBN
20165	360	98	and	and	CC
20165	360	99	however	however	RB
20165	360	100	close	close	RB
20165	360	101	they	-PRON-	PRP
20165	360	102	may	may	MD
20165	360	103	appear	appear	VB
20165	360	104	to	to	TO
20165	360	105	get	get	VB
20165	360	106	,	,	,
20165	360	107	can	can	MD
20165	360	108	never	never	RB
20165	360	109	meet	meet	VB
20165	360	110	.	.	.
20165	361	1	[	[	-LRB-
20165	361	2	Illustration	illustration	NN
20165	361	3	:	:	:
20165	361	4	Fig	Fig	NNP
20165	361	5	.	.	.
20165	362	1	41	41	CD
20165	362	2	.	.	.
20165	362	3	]	]	-RRB-
20165	363	1	Fig	fig	NN
20165	363	2	.	.	.
20165	364	1	41	41	CD
20165	364	2	is	be	VBZ
20165	364	3	a	a	DT
20165	364	4	perspective	perspective	JJ
20165	364	5	view	view	NN
20165	364	6	of	of	IN
20165	364	7	the	the	DT
20165	364	8	same	same	JJ
20165	364	9	figure	figure	NN
20165	364	10	--	--	:
20165	364	11	but	but	CC
20165	364	12	more	more	RBR
20165	364	13	extended	extended	JJ
20165	364	14	.	.	.
20165	365	1	It	-PRON-	PRP
20165	365	2	will	will	MD
20165	365	3	be	be	VB
20165	365	4	seen	see	VBN
20165	365	5	that	that	IN
20165	365	6	a	a	DT
20165	365	7	line	line	NN
20165	365	8	drawn	draw	VBN
20165	365	9	from	from	IN
20165	365	10	the	the	DT
20165	365	11	tenth	tenth	JJ
20165	365	12	upright	upright	JJ
20165	365	13	_	_	NNP
20165	365	14	K	K	NNP
20165	365	15	_	_	NNP
20165	365	16	to	to	IN
20165	365	17	_	_	NNP
20165	365	18	S	S	NNP
20165	365	19	_	_	NNP
20165	365	20	cuts	cut	VBZ
20165	365	21	off	off	RP
20165	365	22	a	a	DT
20165	365	23	tenth	tenth	NN
20165	365	24	of	of	IN
20165	365	25	_	_	NNP
20165	365	26	AB	AB	NNP
20165	365	27	_	_	NNP
20165	365	28	.	.	.
20165	366	1	We	-PRON-	PRP
20165	366	2	look	look	VBP
20165	366	3	then	then	RB
20165	366	4	upon	upon	IN
20165	366	5	these	these	DT
20165	366	6	two	two	CD
20165	366	7	lines	line	NNS
20165	366	8	_	_	NNP
20165	366	9	SP	SP	NNP
20165	366	10	_	_	NNP
20165	366	11	,	,	,
20165	366	12	_	_	NNP
20165	366	13	OP	OP	NNP
20165	366	14	_	_	NNP
20165	366	15	,	,	,
20165	366	16	as	as	IN
20165	366	17	the	the	DT
20165	366	18	sides	side	NNS
20165	366	19	of	of	IN
20165	366	20	a	a	DT
20165	366	21	long	long	JJ
20165	366	22	parallelogram	parallelogram	NN
20165	366	23	of	of	IN
20165	366	24	which	which	WDT
20165	366	25	_	_	NNP
20165	366	26	SK	SK	NNP
20165	366	27	_	_	NNP
20165	366	28	is	be	VBZ
20165	366	29	the	the	DT
20165	366	30	diagonal	diagonal	JJ
20165	366	31	,	,	,
20165	366	32	as	as	IN
20165	366	33	_	_	NNP
20165	366	34	cefd	cefd	NNP
20165	366	35	_	_	NNP
20165	366	36	,	,	,
20165	366	37	the	the	DT
20165	366	38	figure	figure	NN
20165	366	39	on	on	IN
20165	366	40	the	the	DT
20165	366	41	ground	ground	NN
20165	366	42	,	,	,
20165	366	43	is	be	VBZ
20165	366	44	also	also	RB
20165	366	45	a	a	DT
20165	366	46	parallelogram	parallelogram	NN
20165	366	47	.	.	.
20165	367	1	The	the	DT
20165	367	2	student	student	NN
20165	367	3	can	can	MD
20165	367	4	obtain	obtain	VB
20165	367	5	for	for	IN
20165	367	6	himself	-PRON-	PRP
20165	367	7	a	a	DT
20165	367	8	further	further	JJ
20165	367	9	illustration	illustration	NN
20165	367	10	of	of	IN
20165	367	11	this	this	DT
20165	367	12	rule	rule	NN
20165	367	13	by	by	IN
20165	367	14	placing	place	VBG
20165	367	15	a	a	DT
20165	367	16	looking	look	VBG
20165	367	17	-	-	HYPH
20165	367	18	glass	glass	NN
20165	367	19	on	on	IN
20165	367	20	one	one	CD
20165	367	21	of	of	IN
20165	367	22	the	the	DT
20165	367	23	walls	wall	NNS
20165	367	24	of	of	IN
20165	367	25	his	-PRON-	PRP$
20165	367	26	studio	studio	NN
20165	367	27	and	and	CC
20165	367	28	then	then	RB
20165	367	29	sketching	sketch	VBG
20165	367	30	himself	-PRON-	PRP
20165	367	31	and	and	CC
20165	367	32	his	-PRON-	PRP$
20165	367	33	surroundings	surrounding	NNS
20165	367	34	as	as	IN
20165	367	35	seen	see	VBN
20165	367	36	therein	therein	RB
20165	367	37	.	.	.
20165	368	1	He	-PRON-	PRP
20165	368	2	will	will	MD
20165	368	3	find	find	VB
20165	368	4	that	that	IN
20165	368	5	all	all	PDT
20165	368	6	the	the	DT
20165	368	7	horizontals	horizontal	NNS
20165	368	8	at	at	IN
20165	368	9	right	right	JJ
20165	368	10	angles	angle	NNS
20165	368	11	to	to	IN
20165	368	12	the	the	DT
20165	368	13	glass	glass	NN
20165	368	14	will	will	MD
20165	368	15	converge	converge	VB
20165	368	16	to	to	IN
20165	368	17	his	-PRON-	PRP$
20165	368	18	own	own	JJ
20165	368	19	eye	eye	NN
20165	368	20	.	.	.
20165	369	1	This	this	DT
20165	369	2	rule	rule	NN
20165	369	3	applies	apply	VBZ
20165	369	4	equally	equally	RB
20165	369	5	to	to	IN
20165	369	6	lines	line	NNS
20165	369	7	which	which	WDT
20165	369	8	are	be	VBP
20165	369	9	at	at	IN
20165	369	10	an	an	DT
20165	369	11	angle	angle	NN
20165	369	12	to	to	IN
20165	369	13	the	the	DT
20165	369	14	picture	picture	NN
20165	369	15	plane	plane	NN
20165	369	16	as	as	IN
20165	369	17	to	to	IN
20165	369	18	those	those	DT
20165	369	19	that	that	WDT
20165	369	20	are	be	VBP
20165	369	21	at	at	IN
20165	369	22	right	right	JJ
20165	369	23	angles	angle	NNS
20165	369	24	or	or	CC
20165	369	25	perpendicular	perpendicular	JJ
20165	369	26	to	to	IN
20165	369	27	it	-PRON-	PRP
20165	369	28	,	,	,
20165	369	29	as	as	IN
20165	369	30	in	in	IN
20165	369	31	Rule	Rule	NNP
20165	369	32	7	7	CD
20165	369	33	.	.	.
20165	370	1	It	-PRON-	PRP
20165	370	2	also	also	RB
20165	370	3	applies	apply	VBZ
20165	370	4	to	to	IN
20165	370	5	those	those	DT
20165	370	6	on	on	IN
20165	370	7	an	an	DT
20165	370	8	inclined	incline	VBN
20165	370	9	plane	plane	NN
20165	370	10	,	,	,
20165	370	11	as	as	IN
20165	370	12	in	in	IN
20165	370	13	Rule	Rule	NNP
20165	370	14	8	8	CD
20165	370	15	.	.	.
20165	371	1	[	[	-LRB-
20165	371	2	Illustration	illustration	NN
20165	371	3	:	:	:
20165	371	4	Fig	Fig	NNP
20165	371	5	.	.	.
20165	372	1	42	42	CD
20165	372	2	.	.	.
20165	373	1	Sketch	Sketch	NNP
20165	373	2	of	of	IN
20165	373	3	artist	artist	NN
20165	373	4	in	in	IN
20165	373	5	studio	studio	NN
20165	373	6	.	.	.
20165	373	7	]	]	-RRB-
20165	374	1	With	with	IN
20165	374	2	the	the	DT
20165	374	3	above	above	JJ
20165	374	4	rules	rule	NNS
20165	374	5	and	and	CC
20165	374	6	a	a	DT
20165	374	7	clear	clear	JJ
20165	374	8	notion	notion	NN
20165	374	9	of	of	IN
20165	374	10	the	the	DT
20165	374	11	definitions	definition	NNS
20165	374	12	and	and	CC
20165	374	13	conditions	condition	NNS
20165	374	14	of	of	IN
20165	374	15	perspective	perspective	NN
20165	374	16	,	,	,
20165	374	17	we	-PRON-	PRP
20165	374	18	should	should	MD
20165	374	19	be	be	VB
20165	374	20	able	able	JJ
20165	374	21	to	to	TO
20165	374	22	work	work	VB
20165	374	23	out	out	RP
20165	374	24	any	any	DT
20165	374	25	proposition	proposition	NN
20165	374	26	or	or	CC
20165	374	27	any	any	DT
20165	374	28	new	new	JJ
20165	374	29	figure	figure	NN
20165	374	30	that	that	WDT
20165	374	31	may	may	MD
20165	374	32	present	present	VB
20165	374	33	itself	-PRON-	PRP
20165	374	34	.	.	.
20165	375	1	At	at	IN
20165	375	2	any	any	DT
20165	375	3	rate	rate	NN
20165	375	4	,	,	,
20165	375	5	a	a	DT
20165	375	6	thorough	thorough	JJ
20165	375	7	understanding	understanding	NN
20165	375	8	of	of	IN
20165	375	9	these	these	DT
20165	375	10	few	few	JJ
20165	375	11	pages	page	NNS
20165	375	12	will	will	MD
20165	375	13	make	make	VB
20165	375	14	the	the	DT
20165	375	15	labour	labour	NN
20165	375	16	now	now	RB
20165	375	17	before	before	IN
20165	375	18	us	-PRON-	PRP
20165	375	19	simple	simple	JJ
20165	375	20	and	and	CC
20165	375	21	easy	easy	JJ
20165	375	22	.	.	.
20165	376	1	I	-PRON-	PRP
20165	376	2	hope	hope	VBP
20165	376	3	,	,	,
20165	376	4	too	too	RB
20165	376	5	,	,	,
20165	376	6	it	-PRON-	PRP
20165	376	7	may	may	MD
20165	376	8	be	be	VB
20165	376	9	found	find	VBN
20165	376	10	interesting	interesting	JJ
20165	376	11	.	.	.
20165	377	1	There	there	EX
20165	377	2	is	be	VBZ
20165	377	3	always	always	RB
20165	377	4	a	a	DT
20165	377	5	certain	certain	JJ
20165	377	6	pleasure	pleasure	NN
20165	377	7	in	in	IN
20165	377	8	deceiving	deceive	VBG
20165	377	9	and	and	CC
20165	377	10	being	be	VBG
20165	377	11	deceived	deceive	VBN
20165	377	12	by	by	IN
20165	377	13	the	the	DT
20165	377	14	senses	sense	NNS
20165	377	15	,	,	,
20165	377	16	and	and	CC
20165	377	17	in	in	IN
20165	377	18	optical	optical	JJ
20165	377	19	and	and	CC
20165	377	20	other	other	JJ
20165	377	21	illusions	illusion	NNS
20165	377	22	,	,	,
20165	377	23	such	such	JJ
20165	377	24	as	as	IN
20165	377	25	making	make	VBG
20165	377	26	things	thing	NNS
20165	377	27	appear	appear	VB
20165	377	28	far	far	RB
20165	377	29	off	off	RB
20165	377	30	that	that	WDT
20165	377	31	are	be	VBP
20165	377	32	quite	quite	RB
20165	377	33	near	near	JJ
20165	377	34	,	,	,
20165	377	35	in	in	IN
20165	377	36	making	make	VBG
20165	377	37	a	a	DT
20165	377	38	picture	picture	NN
20165	377	39	of	of	IN
20165	377	40	an	an	DT
20165	377	41	object	object	NN
20165	377	42	on	on	IN
20165	377	43	a	a	DT
20165	377	44	flat	flat	JJ
20165	377	45	surface	surface	NN
20165	377	46	to	to	TO
20165	377	47	look	look	VB
20165	377	48	as	as	IN
20165	377	49	if	if	IN
20165	377	50	it	-PRON-	PRP
20165	377	51	stood	stand	VBD
20165	377	52	out	out	RP
20165	377	53	and	and	CC
20165	377	54	in	in	IN
20165	377	55	relief	relief	NN
20165	377	56	by	by	IN
20165	377	57	a	a	DT
20165	377	58	kind	kind	NN
20165	377	59	of	of	IN
20165	377	60	magic	magic	NN
20165	377	61	.	.	.
20165	378	1	But	but	CC
20165	378	2	there	there	EX
20165	378	3	is	be	VBZ
20165	378	4	,	,	,
20165	378	5	I	-PRON-	PRP
20165	378	6	think	think	VBP
20165	378	7	,	,	,
20165	378	8	a	a	DT
20165	378	9	still	still	RB
20165	378	10	greater	great	JJR
20165	378	11	pleasure	pleasure	NN
20165	378	12	than	than	IN
20165	378	13	this	this	DT
20165	378	14	,	,	,
20165	378	15	namely	namely	RB
20165	378	16	,	,	,
20165	378	17	in	in	IN
20165	378	18	invention	invention	NN
20165	378	19	and	and	CC
20165	378	20	in	in	IN
20165	378	21	overcoming	overcome	VBG
20165	378	22	difficulties	difficulty	NNS
20165	378	23	--	--	:
20165	378	24	in	in	IN
20165	378	25	finding	find	VBG
20165	378	26	out	out	RP
20165	378	27	how	how	WRB
20165	378	28	to	to	TO
20165	378	29	do	do	VB
20165	378	30	things	thing	NNS
20165	378	31	for	for	IN
20165	378	32	ourselves	-PRON-	PRP
20165	378	33	by	by	IN
20165	378	34	our	-PRON-	PRP$
20165	378	35	reasoning	reasoning	NN
20165	378	36	faculties	faculty	NNS
20165	378	37	,	,	,
20165	378	38	in	in	IN
20165	378	39	originating	originate	VBG
20165	378	40	or	or	CC
20165	378	41	being	be	VBG
20165	378	42	original	original	JJ
20165	378	43	,	,	,
20165	378	44	as	as	IN
20165	378	45	it	-PRON-	PRP
20165	378	46	were	be	VBD
20165	378	47	.	.	.
20165	379	1	Let	let	VB
20165	379	2	us	-PRON-	PRP
20165	379	3	now	now	RB
20165	379	4	see	see	VB
20165	379	5	how	how	WRB
20165	379	6	far	far	RB
20165	379	7	we	-PRON-	PRP
20165	379	8	can	can	MD
20165	379	9	go	go	VB
20165	379	10	in	in	IN
20165	379	11	this	this	DT
20165	379	12	respect	respect	NN
20165	379	13	.	.	.
20165	380	1	VIII	viii	VB
20165	380	2	A	a	DT
20165	380	3	TABLE	table	NN
20165	380	4	OR	or	CC
20165	380	5	INDEX	index	NN
20165	380	6	OF	of	IN
20165	380	7	THE	the	DT
20165	380	8	RULES	rule	NNS
20165	380	9	OF	of	IN
20165	380	10	PERSPECTIVE	perspective	NN
20165	380	11	The	the	DT
20165	380	12	rules	rule	NNS
20165	380	13	here	here	RB
20165	380	14	set	set	VBD
20165	380	15	down	down	RP
20165	380	16	have	have	VBP
20165	380	17	been	be	VBN
20165	380	18	fully	fully	RB
20165	380	19	explained	explain	VBN
20165	380	20	in	in	IN
20165	380	21	the	the	DT
20165	380	22	previous	previous	JJ
20165	380	23	pages	page	NNS
20165	380	24	,	,	,
20165	380	25	and	and	CC
20165	380	26	this	this	DT
20165	380	27	table	table	NN
20165	380	28	is	be	VBZ
20165	380	29	simply	simply	RB
20165	380	30	for	for	IN
20165	380	31	the	the	DT
20165	380	32	student	student	NN
20165	380	33	's	's	POS
20165	380	34	ready	ready	JJ
20165	380	35	reference	reference	NN
20165	380	36	.	.	.
20165	381	1	RULE	RULE	NNP
20165	381	2	1	1	CD
20165	381	3	All	all	DT
20165	381	4	straight	straight	JJ
20165	381	5	lines	line	NNS
20165	381	6	remain	remain	VBP
20165	381	7	straight	straight	JJ
20165	381	8	in	in	IN
20165	381	9	their	-PRON-	PRP$
20165	381	10	perspective	perspective	JJ
20165	381	11	appearance	appearance	NN
20165	381	12	.	.	.
20165	382	1	RULE	RULE	NNP
20165	382	2	2	2	CD
20165	382	3	Vertical	vertical	JJ
20165	382	4	lines	line	NNS
20165	382	5	remain	remain	VBP
20165	382	6	vertical	vertical	JJ
20165	382	7	in	in	IN
20165	382	8	perspective	perspective	NN
20165	382	9	.	.	.
20165	383	1	RULE	RULE	NNP
20165	383	2	3	3	CD
20165	383	3	Horizontals	Horizontals	NNPS
20165	383	4	parallel	parallel	JJ
20165	383	5	to	to	IN
20165	383	6	the	the	DT
20165	383	7	base	base	NN
20165	383	8	of	of	IN
20165	383	9	the	the	DT
20165	383	10	picture	picture	NN
20165	383	11	are	be	VBP
20165	383	12	also	also	RB
20165	383	13	parallel	parallel	JJ
20165	383	14	to	to	IN
20165	383	15	that	that	DT
20165	383	16	base	base	NN
20165	383	17	in	in	IN
20165	383	18	the	the	DT
20165	383	19	picture	picture	NN
20165	383	20	.	.	.
20165	384	1	RULE	RULE	NNP
20165	384	2	4	4	CD
20165	384	3	All	all	DT
20165	384	4	lines	line	NNS
20165	384	5	situated	situate	VBN
20165	384	6	in	in	IN
20165	384	7	a	a	DT
20165	384	8	plane	plane	NN
20165	384	9	that	that	WDT
20165	384	10	is	be	VBZ
20165	384	11	parallel	parallel	JJ
20165	384	12	to	to	IN
20165	384	13	the	the	DT
20165	384	14	picture	picture	NN
20165	384	15	plane	plane	NN
20165	384	16	diminish	diminish	NN
20165	384	17	in	in	IN
20165	384	18	proportion	proportion	NN
20165	384	19	as	as	IN
20165	384	20	they	-PRON-	PRP
20165	384	21	become	become	VBP
20165	384	22	more	more	RBR
20165	384	23	distant	distant	JJ
20165	384	24	,	,	,
20165	384	25	but	but	CC
20165	384	26	do	do	VBP
20165	384	27	not	not	RB
20165	384	28	undergo	undergo	VB
20165	384	29	any	any	DT
20165	384	30	perspective	perspective	JJ
20165	384	31	deformation	deformation	NN
20165	384	32	.	.	.
20165	385	1	This	this	DT
20165	385	2	is	be	VBZ
20165	385	3	called	call	VBN
20165	385	4	the	the	DT
20165	385	5	front	front	JJ
20165	385	6	view	view	NN
20165	385	7	.	.	.
20165	386	1	RULE	RULE	NNP
20165	386	2	5	5	CD
20165	386	3	All	all	DT
20165	386	4	horizontal	horizontal	JJ
20165	386	5	lines	line	NNS
20165	386	6	which	which	WDT
20165	386	7	are	be	VBP
20165	386	8	at	at	IN
20165	386	9	right	right	JJ
20165	386	10	angles	angle	NNS
20165	386	11	to	to	IN
20165	386	12	the	the	DT
20165	386	13	picture	picture	NN
20165	386	14	plane	plane	NN
20165	386	15	are	be	VBP
20165	386	16	drawn	draw	VBN
20165	386	17	to	to	IN
20165	386	18	the	the	DT
20165	386	19	point	point	NN
20165	386	20	of	of	IN
20165	386	21	sight	sight	NN
20165	386	22	.	.	.
20165	387	1	RULE	RULE	NNP
20165	387	2	6	6	CD
20165	387	3	All	all	DT
20165	387	4	horizontals	horizontal	NNS
20165	387	5	which	which	WDT
20165	387	6	are	be	VBP
20165	387	7	at	at	IN
20165	387	8	45	45	CD
20165	387	9	°	°	NNS
20165	387	10	to	to	IN
20165	387	11	the	the	DT
20165	387	12	picture	picture	NN
20165	387	13	plane	plane	NN
20165	387	14	are	be	VBP
20165	387	15	drawn	draw	VBN
20165	387	16	to	to	IN
20165	387	17	the	the	DT
20165	387	18	point	point	NN
20165	387	19	of	of	IN
20165	387	20	distance	distance	NN
20165	387	21	.	.	.
20165	388	1	RULE	RULE	NNP
20165	388	2	7	7	CD
20165	388	3	All	all	DT
20165	388	4	horizontals	horizontal	NNS
20165	388	5	forming	form	VBG
20165	388	6	any	any	DT
20165	388	7	other	other	JJ
20165	388	8	angles	angle	NNS
20165	388	9	but	but	CC
20165	388	10	the	the	DT
20165	388	11	above	above	JJ
20165	388	12	are	be	VBP
20165	388	13	drawn	draw	VBN
20165	388	14	to	to	IN
20165	388	15	some	some	DT
20165	388	16	other	other	JJ
20165	388	17	points	point	NNS
20165	388	18	on	on	IN
20165	388	19	the	the	DT
20165	388	20	horizontal	horizontal	JJ
20165	388	21	line	line	NN
20165	388	22	.	.	.
20165	389	1	RULE	RULE	NNP
20165	389	2	8	8	CD
20165	389	3	Lines	line	NNS
20165	389	4	which	which	WDT
20165	389	5	incline	incline	VBP
20165	389	6	upwards	upward	NNS
20165	389	7	have	have	VBP
20165	389	8	their	-PRON-	PRP$
20165	389	9	vanishing	vanish	VBG
20165	389	10	points	point	NNS
20165	389	11	above	above	IN
20165	389	12	the	the	DT
20165	389	13	horizon	horizon	NN
20165	389	14	,	,	,
20165	389	15	and	and	CC
20165	389	16	those	those	DT
20165	389	17	which	which	WDT
20165	389	18	incline	incline	VBP
20165	389	19	downwards	downward	NNS
20165	389	20	,	,	,
20165	389	21	below	below	IN
20165	389	22	it	-PRON-	PRP
20165	389	23	.	.	.
20165	390	1	In	in	IN
20165	390	2	both	both	DT
20165	390	3	cases	case	NNS
20165	390	4	they	-PRON-	PRP
20165	390	5	are	be	VBP
20165	390	6	on	on	IN
20165	390	7	the	the	DT
20165	390	8	vertical	vertical	JJ
20165	390	9	which	which	WDT
20165	390	10	passes	pass	VBZ
20165	390	11	through	through	IN
20165	390	12	the	the	DT
20165	390	13	vanishing	vanishing	JJ
20165	390	14	point	point	NN
20165	390	15	of	of	IN
20165	390	16	their	-PRON-	PRP$
20165	390	17	ground	ground	NN
20165	390	18	-	-	HYPH
20165	390	19	plan	plan	NN
20165	390	20	or	or	CC
20165	390	21	horizontal	horizontal	JJ
20165	390	22	projections	projection	NNS
20165	390	23	.	.	.
20165	391	1	RULE	RULE	NNP
20165	391	2	9	9	CD
20165	391	3	The	the	DT
20165	391	4	farther	far	RBR
20165	391	5	a	a	DT
20165	391	6	point	point	NN
20165	391	7	is	be	VBZ
20165	391	8	removed	remove	VBN
20165	391	9	from	from	IN
20165	391	10	the	the	DT
20165	391	11	picture	picture	NN
20165	391	12	plane	plane	NN
20165	391	13	the	the	DT
20165	391	14	nearer	nearer	NN
20165	391	15	does	do	VBZ
20165	391	16	it	-PRON-	PRP
20165	391	17	appear	appear	VB
20165	391	18	to	to	TO
20165	391	19	approach	approach	VB
20165	391	20	the	the	DT
20165	391	21	horizon	horizon	NN
20165	391	22	,	,	,
20165	391	23	so	so	RB
20165	391	24	long	long	RB
20165	391	25	as	as	IN
20165	391	26	it	-PRON-	PRP
20165	391	27	is	be	VBZ
20165	391	28	viewed	view	VBN
20165	391	29	from	from	IN
20165	391	30	the	the	DT
20165	391	31	same	same	JJ
20165	391	32	position	position	NN
20165	391	33	.	.	.
20165	392	1	RULE	RULE	NNP
20165	392	2	10	10	CD
20165	392	3	Horizontals	horizontal	NNS
20165	392	4	in	in	IN
20165	392	5	the	the	DT
20165	392	6	same	same	JJ
20165	392	7	plane	plane	NN
20165	392	8	which	which	WDT
20165	392	9	are	be	VBP
20165	392	10	drawn	draw	VBN
20165	392	11	to	to	IN
20165	392	12	the	the	DT
20165	392	13	same	same	JJ
20165	392	14	point	point	NN
20165	392	15	on	on	IN
20165	392	16	the	the	DT
20165	392	17	horizon	horizon	NN
20165	392	18	are	be	VBP
20165	392	19	perspectively	perspectively	RB
20165	392	20	parallel	parallel	JJ
20165	392	21	to	to	IN
20165	392	22	each	each	DT
20165	392	23	other	other	JJ
20165	392	24	.	.	.
20165	393	1	BOOK	BOOK	NNS
20165	393	2	SECOND	second	JJ
20165	393	3	THE	the	DT
20165	393	4	PRACTICE	practice	NN
20165	393	5	OF	of	IN
20165	393	6	PERSPECTIVE	perspective	NN
20165	393	7	In	in	IN
20165	393	8	the	the	DT
20165	393	9	foregoing	foregoing	NN
20165	393	10	book	book	NN
20165	393	11	we	-PRON-	PRP
20165	393	12	have	have	VBP
20165	393	13	explained	explain	VBN
20165	393	14	the	the	DT
20165	393	15	theory	theory	NN
20165	393	16	or	or	CC
20165	393	17	science	science	NN
20165	393	18	of	of	IN
20165	393	19	perspective	perspective	NN
20165	393	20	;	;	:
20165	393	21	we	-PRON-	PRP
20165	393	22	now	now	RB
20165	393	23	have	have	VBP
20165	393	24	to	to	TO
20165	393	25	make	make	VB
20165	393	26	use	use	NN
20165	393	27	of	of	IN
20165	393	28	our	-PRON-	PRP$
20165	393	29	knowledge	knowledge	NN
20165	393	30	and	and	CC
20165	393	31	to	to	TO
20165	393	32	apply	apply	VB
20165	393	33	it	-PRON-	PRP
20165	393	34	to	to	IN
20165	393	35	the	the	DT
20165	393	36	drawing	drawing	NN
20165	393	37	of	of	IN
20165	393	38	figures	figure	NNS
20165	393	39	and	and	CC
20165	393	40	the	the	DT
20165	393	41	various	various	JJ
20165	393	42	objects	object	NNS
20165	393	43	that	that	WDT
20165	393	44	we	-PRON-	PRP
20165	393	45	wish	wish	VBP
20165	393	46	to	to	TO
20165	393	47	depict	depict	VB
20165	393	48	.	.	.
20165	394	1	The	the	DT
20165	394	2	first	first	JJ
20165	394	3	of	of	IN
20165	394	4	these	these	DT
20165	394	5	will	will	MD
20165	394	6	be	be	VB
20165	394	7	a	a	DT
20165	394	8	square	square	NN
20165	394	9	with	with	IN
20165	394	10	two	two	CD
20165	394	11	of	of	IN
20165	394	12	its	-PRON-	PRP$
20165	394	13	sides	side	NNS
20165	394	14	parallel	parallel	JJ
20165	394	15	to	to	IN
20165	394	16	the	the	DT
20165	394	17	picture	picture	NN
20165	394	18	plane	plane	NN
20165	394	19	and	and	CC
20165	394	20	the	the	DT
20165	394	21	other	other	JJ
20165	394	22	two	two	CD
20165	394	23	at	at	IN
20165	394	24	right	right	JJ
20165	394	25	angles	angle	NNS
20165	394	26	to	to	IN
20165	394	27	it	-PRON-	PRP
20165	394	28	,	,	,
20165	394	29	and	and	CC
20165	394	30	which	which	WDT
20165	394	31	we	-PRON-	PRP
20165	394	32	call	call	VBP
20165	394	33	IX	IX	NNP
20165	394	34	THE	the	DT
20165	394	35	SQUARE	SQUARE	NNP
20165	394	36	IN	in	IN
20165	394	37	PARALLEL	PARALLEL	NNP
20165	394	38	PERSPECTIVE	perspective	NN
20165	394	39	From	from	IN
20165	394	40	a	a	DT
20165	394	41	given	give	VBN
20165	394	42	point	point	NN
20165	394	43	on	on	IN
20165	394	44	the	the	DT
20165	394	45	base	base	NN
20165	394	46	line	line	NN
20165	394	47	of	of	IN
20165	394	48	the	the	DT
20165	394	49	picture	picture	NN
20165	394	50	draw	draw	VBP
20165	394	51	a	a	DT
20165	394	52	line	line	NN
20165	394	53	at	at	IN
20165	394	54	right	right	JJ
20165	394	55	angles	angle	NNS
20165	394	56	to	to	IN
20165	394	57	that	that	DT
20165	394	58	base	base	NN
20165	394	59	.	.	.
20165	395	1	Let	let	VB
20165	395	2	_	_	NNP
20165	395	3	P	P	NNP
20165	395	4	_	_	NNP
20165	395	5	be	be	VB
20165	395	6	the	the	DT
20165	395	7	given	give	VBN
20165	395	8	point	point	NN
20165	395	9	on	on	IN
20165	395	10	the	the	DT
20165	395	11	base	base	NN
20165	395	12	line	line	NN
20165	395	13	_	_	NNP
20165	395	14	AB	AB	NNP
20165	395	15	_	_	NNP
20165	395	16	,	,	,
20165	395	17	and	and	CC
20165	395	18	_	_	NNP
20165	395	19	S	S	NNP
20165	395	20	_	_	IN
20165	395	21	the	the	DT
20165	395	22	point	point	NN
20165	395	23	of	of	IN
20165	395	24	sight	sight	NN
20165	395	25	.	.	.
20165	396	1	We	-PRON-	PRP
20165	396	2	simply	simply	RB
20165	396	3	draw	draw	VBP
20165	396	4	a	a	DT
20165	396	5	line	line	NN
20165	396	6	along	along	IN
20165	396	7	the	the	DT
20165	396	8	ground	ground	NN
20165	396	9	to	to	IN
20165	396	10	the	the	DT
20165	396	11	point	point	NN
20165	396	12	of	of	IN
20165	396	13	sight	sight	NN
20165	396	14	_	_	NNP
20165	396	15	S	S	NNP
20165	396	16	_	_	NNP
20165	396	17	,	,	,
20165	396	18	and	and	CC
20165	396	19	this	this	DT
20165	396	20	line	line	NN
20165	396	21	will	will	MD
20165	396	22	be	be	VB
20165	396	23	at	at	IN
20165	396	24	right	right	JJ
20165	396	25	angles	angle	NNS
20165	396	26	to	to	IN
20165	396	27	the	the	DT
20165	396	28	base	base	NN
20165	396	29	,	,	,
20165	396	30	as	as	IN
20165	396	31	explained	explain	VBN
20165	396	32	in	in	IN
20165	396	33	Rule	Rule	NNP
20165	396	34	5	5	CD
20165	396	35	,	,	,
20165	396	36	and	and	CC
20165	396	37	consequently	consequently	RB
20165	396	38	angle	angle	VB
20165	396	39	_	_	NNP
20165	396	40	APS	APS	NNP
20165	396	41	_	_	NNP
20165	396	42	will	will	MD
20165	396	43	be	be	VB
20165	396	44	equal	equal	JJ
20165	396	45	to	to	TO
20165	396	46	angle	angle	VB
20165	396	47	_	_	NNP
20165	396	48	SPB	SPB	NNP
20165	396	49	_	_	NNP
20165	396	50	,	,	,
20165	396	51	although	although	IN
20165	396	52	it	-PRON-	PRP
20165	396	53	does	do	VBZ
20165	396	54	not	not	RB
20165	396	55	look	look	VB
20165	396	56	so	so	RB
20165	396	57	here	here	RB
20165	396	58	.	.	.
20165	397	1	This	this	DT
20165	397	2	is	be	VBZ
20165	397	3	our	-PRON-	PRP$
20165	397	4	first	first	JJ
20165	397	5	difficulty	difficulty	NN
20165	397	6	,	,	,
20165	397	7	but	but	CC
20165	397	8	one	one	CD
20165	397	9	that	that	WDT
20165	397	10	we	-PRON-	PRP
20165	397	11	shall	shall	MD
20165	397	12	soon	soon	RB
20165	397	13	get	get	VB
20165	397	14	over	over	RP
20165	397	15	.	.	.
20165	398	1	[	[	-LRB-
20165	398	2	Illustration	illustration	NN
20165	398	3	:	:	:
20165	398	4	Fig	Fig	NNP
20165	398	5	.	.	.
20165	399	1	43	43	CD
20165	399	2	.	.	.
20165	399	3	]	]	-RRB-
20165	400	1	In	in	IN
20165	400	2	like	like	JJ
20165	400	3	manner	manner	NN
20165	400	4	we	-PRON-	PRP
20165	400	5	can	can	MD
20165	400	6	draw	draw	VB
20165	400	7	any	any	DT
20165	400	8	number	number	NN
20165	400	9	of	of	IN
20165	400	10	lines	line	NNS
20165	400	11	at	at	IN
20165	400	12	right	right	JJ
20165	400	13	angles	angle	NNS
20165	400	14	to	to	IN
20165	400	15	the	the	DT
20165	400	16	base	base	NN
20165	400	17	,	,	,
20165	400	18	or	or	CC
20165	400	19	we	-PRON-	PRP
20165	400	20	may	may	MD
20165	400	21	suppose	suppose	VB
20165	400	22	the	the	DT
20165	400	23	point	point	NN
20165	400	24	_	_	NNP
20165	400	25	P	P	NNP
20165	400	26	_	_	NNP
20165	400	27	to	to	TO
20165	400	28	be	be	VB
20165	400	29	placed	place	VBN
20165	400	30	at	at	IN
20165	400	31	so	so	RB
20165	400	32	many	many	JJ
20165	400	33	different	different	JJ
20165	400	34	positions	position	NNS
20165	400	35	,	,	,
20165	400	36	our	-PRON-	PRP$
20165	400	37	only	only	JJ
20165	400	38	difficulty	difficulty	NN
20165	400	39	being	be	VBG
20165	400	40	to	to	TO
20165	400	41	conceive	conceive	VB
20165	400	42	these	these	DT
20165	400	43	lines	line	NNS
20165	400	44	to	to	TO
20165	400	45	be	be	VB
20165	400	46	parallel	parallel	JJ
20165	400	47	to	to	IN
20165	400	48	each	each	DT
20165	400	49	other	other	JJ
20165	400	50	.	.	.
20165	401	1	See	see	VB
20165	401	2	Rule	rule	NN
20165	401	3	10	10	CD
20165	401	4	.	.	.
20165	402	1	[	[	-LRB-
20165	402	2	Illustration	illustration	NN
20165	402	3	:	:	:
20165	402	4	Fig	Fig	NNP
20165	402	5	.	.	.
20165	403	1	44	44	CD
20165	403	2	.	.	.
20165	403	3	]	]	-RRB-
20165	404	1	X	x	VB
20165	404	2	THE	the	DT
20165	404	3	DIAGONAL	diagonal	NN
20165	404	4	From	from	IN
20165	404	5	a	a	DT
20165	404	6	given	give	VBN
20165	404	7	point	point	NN
20165	404	8	on	on	IN
20165	404	9	the	the	DT
20165	404	10	base	base	NN
20165	404	11	line	line	NN
20165	404	12	draw	draw	VB
20165	404	13	a	a	DT
20165	404	14	line	line	NN
20165	404	15	at	at	IN
20165	404	16	45	45	CD
20165	404	17	°	°	NNS
20165	404	18	,	,	,
20165	404	19	or	or	CC
20165	404	20	half	half	PDT
20165	404	21	a	a	DT
20165	404	22	right	right	JJ
20165	404	23	angle	angle	NN
20165	404	24	,	,	,
20165	404	25	to	to	IN
20165	404	26	that	that	DT
20165	404	27	base	base	NN
20165	404	28	.	.	.
20165	405	1	Let	let	VB
20165	405	2	_	_	NNP
20165	405	3	P	P	NNP
20165	405	4	_	_	NNP
20165	405	5	be	be	VB
20165	405	6	the	the	DT
20165	405	7	given	give	VBN
20165	405	8	point	point	NN
20165	405	9	.	.	.
20165	406	1	Draw	draw	VB
20165	406	2	a	a	DT
20165	406	3	line	line	NN
20165	406	4	from	from	IN
20165	406	5	_	_	NNP
20165	406	6	P	P	NNP
20165	406	7	_	_	NNP
20165	406	8	to	to	IN
20165	406	9	the	the	DT
20165	406	10	point	point	NN
20165	406	11	of	of	IN
20165	406	12	distance	distance	NN
20165	406	13	_	_	NNP
20165	406	14	D	D	NNP
20165	406	15	_	_	NNP
20165	406	16	and	and	CC
20165	406	17	this	this	DT
20165	406	18	line	line	NN
20165	406	19	_	_	NNP
20165	406	20	PD	PD	NNP
20165	406	21	_	_	NNP
20165	406	22	will	will	MD
20165	406	23	be	be	VB
20165	406	24	at	at	IN
20165	406	25	an	an	DT
20165	406	26	angle	angle	NN
20165	406	27	of	of	IN
20165	406	28	45	45	CD
20165	406	29	°	°	NNS
20165	406	30	,	,	,
20165	406	31	or	or	CC
20165	406	32	at	at	IN
20165	406	33	the	the	DT
20165	406	34	same	same	JJ
20165	406	35	angle	angle	NN
20165	406	36	as	as	IN
20165	406	37	the	the	DT
20165	406	38	diagonal	diagonal	JJ
20165	406	39	of	of	IN
20165	406	40	a	a	DT
20165	406	41	square	square	NN
20165	406	42	.	.	.
20165	407	1	See	see	VB
20165	407	2	definitions	definition	NNS
20165	407	3	.	.	.
20165	408	1	[	[	-LRB-
20165	408	2	Illustration	illustration	NN
20165	408	3	:	:	:
20165	408	4	Fig	Fig	NNP
20165	408	5	.	.	.
20165	409	1	45	45	CD
20165	409	2	.	.	.
20165	409	3	]	]	-RRB-
20165	410	1	XI	XI	NNP
20165	410	2	THE	the	DT
20165	410	3	SQUARE	SQUARE	NNP
20165	410	4	Draw	draw	VB
20165	410	5	a	a	DT
20165	410	6	square	square	NN
20165	410	7	in	in	IN
20165	410	8	parallel	parallel	JJ
20165	410	9	perspective	perspective	NN
20165	410	10	on	on	IN
20165	410	11	a	a	DT
20165	410	12	given	give	VBN
20165	410	13	length	length	NN
20165	410	14	on	on	IN
20165	410	15	the	the	DT
20165	410	16	base	base	NN
20165	410	17	line	line	NN
20165	410	18	.	.	.
20165	411	1	Let	let	VB
20165	411	2	_	_	NNP
20165	411	3	ab	ab	NNP
20165	411	4	_	_	NNP
20165	411	5	be	be	VB
20165	411	6	the	the	DT
20165	411	7	given	give	VBN
20165	411	8	length	length	NN
20165	411	9	.	.	.
20165	412	1	From	from	IN
20165	412	2	its	-PRON-	PRP$
20165	412	3	two	two	CD
20165	412	4	extremities	extremity	NNS
20165	412	5	_	_	NNP
20165	412	6	a	a	DT
20165	412	7	_	_	NNP
20165	412	8	and	and	CC
20165	412	9	_	_	NNP
20165	412	10	b	b	NNP
20165	412	11	_	_	NNP
20165	412	12	draw	draw	NN
20165	412	13	_	_	NNP
20165	412	14	aS	aS	NNP
20165	412	15	_	_	NNP
20165	412	16	and	and	CC
20165	412	17	_	_	NNP
20165	412	18	bS	bS	NNP
20165	412	19	_	_	NNP
20165	412	20	to	to	IN
20165	412	21	the	the	DT
20165	412	22	point	point	NN
20165	412	23	of	of	IN
20165	412	24	sight	sight	NN
20165	412	25	_	_	NNP
20165	412	26	S	S	NNP
20165	412	27	_	_	NNP
20165	412	28	.	.	.
20165	413	1	These	these	DT
20165	413	2	two	two	CD
20165	413	3	lines	line	NNS
20165	413	4	will	will	MD
20165	413	5	be	be	VB
20165	413	6	at	at	IN
20165	413	7	right	right	JJ
20165	413	8	angles	angle	NNS
20165	413	9	to	to	IN
20165	413	10	the	the	DT
20165	413	11	base	base	NN
20165	413	12	(	(	-LRB-
20165	413	13	see	see	VB
20165	413	14	Fig	Fig	NNP
20165	413	15	.	.	.
20165	414	1	43	43	LS
20165	414	2	)	)	-RRB-
20165	414	3	.	.	.
20165	415	1	From	from	IN
20165	415	2	_	_	NNP
20165	415	3	a	a	DT
20165	415	4	_	_	NNP
20165	415	5	draw	draw	NN
20165	415	6	diagonal	diagonal	JJ
20165	415	7	_	_	NNP
20165	415	8	aD	aD	NNP
20165	415	9	_	_	NNP
20165	415	10	to	to	TO
20165	415	11	point	point	NN
20165	415	12	of	of	IN
20165	415	13	distance	distance	NN
20165	415	14	_	_	NNP
20165	415	15	D	D	NNP
20165	415	16	_	_	NNP
20165	415	17	;	;	:
20165	415	18	this	this	DT
20165	415	19	line	line	NN
20165	415	20	will	will	MD
20165	415	21	be	be	VB
20165	415	22	45	45	CD
20165	415	23	°	°	NNS
20165	415	24	to	to	TO
20165	415	25	base	base	VB
20165	415	26	.	.	.
20165	416	1	At	at	IN
20165	416	2	point	point	NN
20165	416	3	_	_	NNP
20165	416	4	c	c	NNP
20165	416	5	_	_	NNP
20165	416	6	,	,	,
20165	416	7	where	where	WRB
20165	416	8	it	-PRON-	PRP
20165	416	9	cuts	cut	VBZ
20165	416	10	_	_	NNP
20165	416	11	bS	bS	NNP
20165	416	12	_	_	NNP
20165	416	13	,	,	,
20165	416	14	draw	draw	VB
20165	416	15	_	_	NNP
20165	416	16	dc	dc	NNP
20165	416	17	_	_	NNP
20165	416	18	parallel	parallel	NN
20165	416	19	to	to	IN
20165	416	20	_	_	NNP
20165	416	21	ab	ab	NNP
20165	416	22	_	_	NNP
20165	416	23	and	and	CC
20165	416	24	_	_	NNP
20165	416	25	abcd	abcd	NNP
20165	416	26	_	_	NNP
20165	416	27	is	be	VBZ
20165	416	28	the	the	DT
20165	416	29	square	square	NN
20165	416	30	required	require	VBN
20165	416	31	.	.	.
20165	417	1	[	[	-LRB-
20165	417	2	Illustration	illustration	NN
20165	417	3	:	:	:
20165	417	4	Fig	Fig	NNP
20165	417	5	.	.	.
20165	418	1	46	46	CD
20165	418	2	.	.	.
20165	418	3	]	]	-RRB-
20165	419	1	We	-PRON-	PRP
20165	419	2	have	have	VBP
20165	419	3	here	here	RB
20165	419	4	proceeded	proceed	VBN
20165	419	5	in	in	IN
20165	419	6	much	much	RB
20165	419	7	the	the	DT
20165	419	8	same	same	JJ
20165	419	9	way	way	NN
20165	419	10	as	as	IN
20165	419	11	in	in	IN
20165	419	12	drawing	draw	VBG
20165	419	13	a	a	DT
20165	419	14	geometrical	geometrical	JJ
20165	419	15	square	square	NN
20165	419	16	(	(	-LRB-
20165	419	17	Fig	fig	NN
20165	419	18	.	.	.
20165	420	1	47	47	CD
20165	420	2	)	)	-RRB-
20165	420	3	,	,	,
20165	420	4	by	by	IN
20165	420	5	drawing	draw	VBG
20165	420	6	two	two	CD
20165	420	7	lines	line	NNS
20165	420	8	_	_	NNP
20165	420	9	AE	AE	NNP
20165	420	10	_	_	NNP
20165	420	11	and	and	CC
20165	420	12	_	_	NNP
20165	420	13	BC	BC	NNP
20165	420	14	_	_	NNP
20165	420	15	at	at	IN
20165	420	16	right	right	JJ
20165	420	17	angles	angle	NNS
20165	420	18	to	to	IN
20165	420	19	a	a	DT
20165	420	20	given	give	VBN
20165	420	21	line	line	NN
20165	420	22	,	,	,
20165	420	23	_	_	NNP
20165	420	24	AB	AB	NNP
20165	420	25	_	_	NNP
20165	420	26	,	,	,
20165	420	27	and	and	CC
20165	420	28	from	from	IN
20165	420	29	_	_	NNP
20165	420	30	A	A	NNP
20165	420	31	_	_	NNP
20165	420	32	,	,	,
20165	420	33	drawing	draw	VBG
20165	420	34	the	the	DT
20165	420	35	diagonal	diagonal	JJ
20165	420	36	_	_	NNP
20165	420	37	AC	AC	NNP
20165	420	38	_	_	NNP
20165	420	39	at	at	IN
20165	420	40	45	45	CD
20165	420	41	°	°	NNS
20165	420	42	till	till	IN
20165	420	43	it	-PRON-	PRP
20165	420	44	cuts	cut	VBZ
20165	420	45	_	_	NNP
20165	420	46	BC	BC	NNP
20165	420	47	_	_	NNP
20165	420	48	at	at	IN
20165	420	49	_	_	NNP
20165	420	50	C	C	NNP
20165	420	51	_	_	NNP
20165	420	52	,	,	,
20165	420	53	and	and	CC
20165	420	54	then	then	RB
20165	420	55	through	through	IN
20165	420	56	_	_	NNP
20165	420	57	C	C	NNP
20165	420	58	_	_	NNP
20165	420	59	drawing	draw	VBG
20165	420	60	_	_	NNP
20165	420	61	EC	EC	NNP
20165	420	62	_	_	NNP
20165	420	63	parallel	parallel	NN
20165	420	64	to	to	IN
20165	420	65	_	_	NNP
20165	420	66	AB	AB	NNP
20165	420	67	_	_	NNP
20165	420	68	.	.	.
20165	421	1	Let	let	VB
20165	421	2	it	-PRON-	PRP
20165	421	3	be	be	VB
20165	421	4	remarked	remark	VBN
20165	421	5	that	that	IN
20165	421	6	because	because	IN
20165	421	7	the	the	DT
20165	421	8	two	two	CD
20165	421	9	perspective	perspective	JJ
20165	421	10	lines	line	NNS
20165	421	11	(	(	-LRB-
20165	421	12	Fig	fig	NN
20165	421	13	.	.	.
20165	422	1	48	48	CD
20165	422	2	)	)	-RRB-
20165	422	3	_	_	NNP
20165	422	4	AS	AS	NNP
20165	422	5	_	_	NNP
20165	422	6	and	and	CC
20165	422	7	_	_	NNP
20165	422	8	BS	BS	NNP
20165	422	9	_	_	NNP
20165	422	10	are	be	VBP
20165	422	11	at	at	IN
20165	422	12	right	right	JJ
20165	422	13	angles	angle	NNS
20165	422	14	to	to	IN
20165	422	15	the	the	DT
20165	422	16	base	base	NN
20165	422	17	,	,	,
20165	422	18	they	-PRON-	PRP
20165	422	19	must	must	MD
20165	422	20	consequently	consequently	RB
20165	422	21	be	be	VB
20165	422	22	parallel	parallel	JJ
20165	422	23	to	to	IN
20165	422	24	each	each	DT
20165	422	25	other	other	JJ
20165	422	26	,	,	,
20165	422	27	and	and	CC
20165	422	28	therefore	therefore	RB
20165	422	29	are	be	VBP
20165	422	30	perspectively	perspectively	RB
20165	422	31	equidistant	equidistant	JJ
20165	422	32	,	,	,
20165	422	33	so	so	IN
20165	422	34	that	that	IN
20165	422	35	all	all	DT
20165	422	36	lines	line	NNS
20165	422	37	parallel	parallel	JJ
20165	422	38	to	to	IN
20165	422	39	_	_	NNP
20165	422	40	AB	AB	NNP
20165	422	41	_	_	NNP
20165	422	42	and	and	CC
20165	422	43	lying	lie	VBG
20165	422	44	between	between	IN
20165	422	45	them	-PRON-	PRP
20165	422	46	,	,	,
20165	422	47	such	such	JJ
20165	422	48	as	as	IN
20165	422	49	_	_	NNP
20165	422	50	ad	ad	NN
20165	422	51	_	_	NNP
20165	422	52	,	,	,
20165	422	53	_	_	NNP
20165	422	54	cf	cf	NNP
20165	422	55	_	_	NNP
20165	422	56	,	,	,
20165	422	57	&	&	CC
20165	422	58	c.	c.	NNP
20165	422	59	,	,	,
20165	422	60	must	must	MD
20165	422	61	be	be	VB
20165	422	62	equal	equal	JJ
20165	422	63	.	.	.
20165	423	1	[	[	-LRB-
20165	423	2	Illustration	illustration	NN
20165	423	3	:	:	:
20165	423	4	Fig	Fig	NNP
20165	423	5	.	.	.
20165	424	1	47	47	CD
20165	424	2	.	.	.
20165	424	3	]	]	-RRB-
20165	425	1	So	so	RB
20165	425	2	likewise	likewise	RB
20165	425	3	all	all	DT
20165	425	4	diagonals	diagonal	NNS
20165	425	5	drawn	draw	VBN
20165	425	6	to	to	IN
20165	425	7	the	the	DT
20165	425	8	point	point	NN
20165	425	9	of	of	IN
20165	425	10	distance	distance	NN
20165	425	11	,	,	,
20165	425	12	which	which	WDT
20165	425	13	are	be	VBP
20165	425	14	contained	contain	VBN
20165	425	15	between	between	IN
20165	425	16	these	these	DT
20165	425	17	parallels	parallel	NNS
20165	425	18	,	,	,
20165	425	19	such	such	JJ
20165	425	20	as	as	IN
20165	425	21	_	_	NNP
20165	425	22	Ad	Ad	NNP
20165	425	23	_	_	NNP
20165	425	24	,	,	,
20165	425	25	_	_	NNP
20165	425	26	af	af	NNP
20165	425	27	_	_	NNP
20165	425	28	,	,	,
20165	425	29	&	&	CC
20165	425	30	c.	c.	NNP
20165	425	31	,	,	,
20165	425	32	must	must	MD
20165	425	33	be	be	VB
20165	425	34	equal	equal	JJ
20165	425	35	.	.	.
20165	426	1	For	for	IN
20165	426	2	all	all	DT
20165	426	3	straight	straight	JJ
20165	426	4	lines	line	NNS
20165	426	5	which	which	WDT
20165	426	6	meet	meet	VBP
20165	426	7	at	at	IN
20165	426	8	any	any	DT
20165	426	9	point	point	NN
20165	426	10	on	on	IN
20165	426	11	the	the	DT
20165	426	12	horizon	horizon	NN
20165	426	13	are	be	VBP
20165	426	14	perspectively	perspectively	RB
20165	426	15	parallel	parallel	JJ
20165	426	16	to	to	IN
20165	426	17	each	each	DT
20165	426	18	other	other	JJ
20165	426	19	,	,	,
20165	426	20	just	just	RB
20165	426	21	as	as	IN
20165	426	22	two	two	CD
20165	426	23	geometrical	geometrical	JJ
20165	426	24	parallels	parallel	NNS
20165	426	25	crossing	cross	VBG
20165	426	26	two	two	CD
20165	426	27	others	other	NNS
20165	426	28	at	at	IN
20165	426	29	any	any	DT
20165	426	30	angle	angle	NN
20165	426	31	,	,	,
20165	426	32	as	as	IN
20165	426	33	at	at	IN
20165	426	34	Fig	Fig	NNP
20165	426	35	.	.	.
20165	427	1	49	49	CD
20165	427	2	.	.	.
20165	428	1	Note	note	VB
20165	428	2	also	also	RB
20165	428	3	(	(	-LRB-
20165	428	4	Fig	fig	NN
20165	428	5	.	.	.
20165	429	1	48	48	CD
20165	429	2	)	)	-RRB-
20165	429	3	that	that	IN
20165	429	4	all	all	DT
20165	429	5	squares	square	NNS
20165	429	6	formed	form	VBN
20165	429	7	between	between	IN
20165	429	8	the	the	DT
20165	429	9	two	two	CD
20165	429	10	vanishing	vanish	VBG
20165	429	11	lines	line	NNS
20165	429	12	_	_	NNP
20165	429	13	AS	AS	NNP
20165	429	14	_	_	NNP
20165	429	15	,	,	,
20165	429	16	_	_	NNP
20165	429	17	BS	BS	NNP
20165	429	18	_	_	NNP
20165	429	19	,	,	,
20165	429	20	and	and	CC
20165	429	21	by	by	IN
20165	429	22	the	the	DT
20165	429	23	aid	aid	NN
20165	429	24	of	of	IN
20165	429	25	these	these	DT
20165	429	26	diagonals	diagonal	NNS
20165	429	27	,	,	,
20165	429	28	are	be	VBP
20165	429	29	also	also	RB
20165	429	30	equal	equal	JJ
20165	429	31	,	,	,
20165	429	32	and	and	CC
20165	429	33	further	far	RBR
20165	429	34	,	,	,
20165	429	35	that	that	IN
20165	429	36	any	any	DT
20165	429	37	number	number	NN
20165	429	38	of	of	IN
20165	429	39	squares	square	NNS
20165	429	40	such	such	JJ
20165	429	41	as	as	IN
20165	429	42	are	be	VBP
20165	429	43	shown	show	VBN
20165	429	44	in	in	IN
20165	429	45	this	this	DT
20165	429	46	figure	figure	NN
20165	429	47	(	(	-LRB-
20165	429	48	Fig	fig	NN
20165	429	49	.	.	.
20165	430	1	50	50	CD
20165	430	2	)	)	-RRB-
20165	430	3	,	,	,
20165	430	4	formed	form	VBN
20165	430	5	in	in	IN
20165	430	6	the	the	DT
20165	430	7	same	same	JJ
20165	430	8	way	way	NN
20165	430	9	and	and	CC
20165	430	10	having	have	VBG
20165	430	11	equal	equal	JJ
20165	430	12	bases	basis	NNS
20165	430	13	,	,	,
20165	430	14	are	be	VBP
20165	430	15	also	also	RB
20165	430	16	equal	equal	JJ
20165	430	17	;	;	:
20165	430	18	and	and	CC
20165	430	19	the	the	DT
20165	430	20	nine	nine	CD
20165	430	21	squares	square	NNS
20165	430	22	contained	contain	VBN
20165	430	23	in	in	IN
20165	430	24	the	the	DT
20165	430	25	square	square	NN
20165	430	26	_	_	NNP
20165	430	27	abcd	abcd	JJ
20165	430	28	_	_	NNP
20165	430	29	being	be	VBG
20165	430	30	equal	equal	JJ
20165	430	31	,	,	,
20165	430	32	they	-PRON-	PRP
20165	430	33	divide	divide	VBP
20165	430	34	each	each	DT
20165	430	35	side	side	NN
20165	430	36	of	of	IN
20165	430	37	the	the	DT
20165	430	38	larger	large	JJR
20165	430	39	square	square	NN
20165	430	40	into	into	IN
20165	430	41	three	three	CD
20165	430	42	equal	equal	JJ
20165	430	43	parts	part	NNS
20165	430	44	.	.	.
20165	431	1	[	[	-LRB-
20165	431	2	Illustration	illustration	NN
20165	431	3	:	:	:
20165	431	4	Fig	Fig	NNP
20165	431	5	.	.	.
20165	432	1	48	48	CD
20165	432	2	.	.	.
20165	432	3	]	]	-RRB-
20165	433	1	[	[	-LRB-
20165	433	2	Illustration	illustration	NN
20165	433	3	:	:	:
20165	433	4	Fig	Fig	NNP
20165	433	5	.	.	.
20165	434	1	49	49	CD
20165	434	2	.	.	.
20165	434	3	]	]	-RRB-
20165	435	1	From	from	IN
20165	435	2	this	this	DT
20165	435	3	we	-PRON-	PRP
20165	435	4	learn	learn	VBP
20165	435	5	how	how	WRB
20165	435	6	we	-PRON-	PRP
20165	435	7	can	can	MD
20165	435	8	measure	measure	VB
20165	435	9	any	any	DT
20165	435	10	number	number	NN
20165	435	11	of	of	IN
20165	435	12	given	give	VBN
20165	435	13	lengths	length	NNS
20165	435	14	,	,	,
20165	435	15	either	either	CC
20165	435	16	equal	equal	JJ
20165	435	17	or	or	CC
20165	435	18	unequal	unequal	JJ
20165	435	19	,	,	,
20165	435	20	on	on	IN
20165	435	21	a	a	DT
20165	435	22	vanishing	vanish	VBG
20165	435	23	or	or	CC
20165	435	24	retreating	retreat	VBG
20165	435	25	line	line	NN
20165	435	26	which	which	WDT
20165	435	27	is	be	VBZ
20165	435	28	at	at	IN
20165	435	29	right	right	JJ
20165	435	30	angles	angle	NNS
20165	435	31	to	to	IN
20165	435	32	the	the	DT
20165	435	33	base	base	NN
20165	435	34	;	;	:
20165	435	35	and	and	CC
20165	435	36	also	also	RB
20165	435	37	how	how	WRB
20165	435	38	we	-PRON-	PRP
20165	435	39	can	can	MD
20165	435	40	measure	measure	VB
20165	435	41	any	any	DT
20165	435	42	width	width	NN
20165	435	43	or	or	CC
20165	435	44	number	number	NN
20165	435	45	of	of	IN
20165	435	46	widths	width	NNS
20165	435	47	on	on	IN
20165	435	48	a	a	DT
20165	435	49	line	line	NN
20165	435	50	such	such	JJ
20165	435	51	as	as	IN
20165	435	52	_	_	NNP
20165	435	53	dc	dc	NNP
20165	435	54	_	_	NNP
20165	435	55	,	,	,
20165	435	56	that	that	RB
20165	435	57	is	is	RB
20165	435	58	,	,	,
20165	435	59	parallel	parallel	JJ
20165	435	60	to	to	IN
20165	435	61	the	the	DT
20165	435	62	base	base	NN
20165	435	63	of	of	IN
20165	435	64	the	the	DT
20165	435	65	picture	picture	NN
20165	435	66	,	,	,
20165	435	67	however	however	RB
20165	435	68	remote	remote	JJ
20165	435	69	it	-PRON-	PRP
20165	435	70	may	may	MD
20165	435	71	be	be	VB
20165	435	72	from	from	IN
20165	435	73	that	that	DT
20165	435	74	base	base	NN
20165	435	75	.	.	.
20165	436	1	[	[	-LRB-
20165	436	2	Illustration	illustration	NN
20165	436	3	:	:	:
20165	436	4	Fig	Fig	NNP
20165	436	5	.	.	.
20165	437	1	50	50	CD
20165	437	2	.	.	.
20165	437	3	]	]	-RRB-
20165	438	1	XII	xii	NN
20165	438	2	GEOMETRICAL	geometrical	NN
20165	438	3	AND	and	CC
20165	438	4	PERSPECTIVE	perspective	JJ
20165	438	5	FIGURES	FIGURES	NNP
20165	438	6	CONTRASTED	contrast	VBN
20165	438	7	As	as	IN
20165	438	8	at	at	IN
20165	438	9	first	first	RB
20165	438	10	there	there	EX
20165	438	11	may	may	MD
20165	438	12	be	be	VB
20165	438	13	a	a	DT
20165	438	14	little	little	JJ
20165	438	15	difficulty	difficulty	NN
20165	438	16	in	in	IN
20165	438	17	realizing	realize	VBG
20165	438	18	the	the	DT
20165	438	19	resemblance	resemblance	NN
20165	438	20	between	between	IN
20165	438	21	geometrical	geometrical	JJ
20165	438	22	and	and	CC
20165	438	23	perspective	perspective	JJ
20165	438	24	figures	figure	NNS
20165	438	25	,	,	,
20165	438	26	and	and	CC
20165	438	27	also	also	RB
20165	438	28	about	about	IN
20165	438	29	certain	certain	JJ
20165	438	30	expressions	expression	NNS
20165	438	31	we	-PRON-	PRP
20165	438	32	make	make	VBP
20165	438	33	use	use	NN
20165	438	34	of	of	IN
20165	438	35	,	,	,
20165	438	36	such	such	JJ
20165	438	37	as	as	IN
20165	438	38	horizontals	horizontal	NNS
20165	438	39	,	,	,
20165	438	40	perpendiculars	perpendicular	NNS
20165	438	41	,	,	,
20165	438	42	parallels	parallel	NNS
20165	438	43	,	,	,
20165	438	44	&	&	CC
20165	438	45	c.	c.	NNP
20165	438	46	,	,	,
20165	438	47	which	which	WDT
20165	438	48	look	look	VBP
20165	438	49	quite	quite	RB
20165	438	50	different	different	JJ
20165	438	51	in	in	IN
20165	438	52	perspective	perspective	NN
20165	438	53	,	,	,
20165	438	54	I	-PRON-	PRP
20165	438	55	will	will	MD
20165	438	56	here	here	RB
20165	438	57	make	make	VB
20165	438	58	a	a	DT
20165	438	59	note	note	NN
20165	438	60	of	of	IN
20165	438	61	them	-PRON-	PRP
20165	438	62	and	and	CC
20165	438	63	also	also	RB
20165	438	64	place	place	VBP
20165	438	65	side	side	NN
20165	438	66	by	by	IN
20165	438	67	side	side	NN
20165	438	68	the	the	DT
20165	438	69	two	two	CD
20165	438	70	views	view	NNS
20165	438	71	of	of	IN
20165	438	72	the	the	DT
20165	438	73	same	same	JJ
20165	438	74	figures	figure	NNS
20165	438	75	.	.	.
20165	439	1	[	[	-LRB-
20165	439	2	Illustration	illustration	NN
20165	439	3	:	:	:
20165	439	4	Fig	Fig	NNP
20165	439	5	.	.	.
20165	440	1	51	51	CD
20165	440	2	A.	a.	NN
20165	441	1	The	the	DT
20165	441	2	geometrical	geometrical	JJ
20165	441	3	view	view	NN
20165	441	4	.	.	.
20165	441	5	]	]	-RRB-
20165	442	1	[	[	-LRB-
20165	442	2	Illustration	illustration	NN
20165	442	3	:	:	:
20165	442	4	Fig	Fig	NNP
20165	442	5	.	.	.
20165	443	1	51	51	CD
20165	443	2	B.	B.	NNP
20165	444	1	The	the	DT
20165	444	2	perspective	perspective	JJ
20165	444	3	view	view	NN
20165	444	4	.	.	.
20165	444	5	]	]	-RRB-
20165	445	1	[	[	-LRB-
20165	445	2	Illustration	illustration	NN
20165	445	3	:	:	:
20165	445	4	Fig	Fig	NNP
20165	445	5	.	.	.
20165	446	1	51	51	CD
20165	446	2	C.	C.	NNP
20165	446	3	A	A	NNP
20165	446	4	geometrical	geometrical	JJ
20165	446	5	square	square	NN
20165	446	6	.	.	.
20165	446	7	]	]	-RRB-
20165	447	1	[	[	-LRB-
20165	447	2	Illustration	illustration	NN
20165	447	3	:	:	:
20165	447	4	Fig	Fig	NNP
20165	447	5	.	.	.
20165	448	1	51	51	CD
20165	448	2	D.	D.	NNP
20165	448	3	A	A	NNP
20165	448	4	perspective	perspective	NN
20165	448	5	square	square	NN
20165	448	6	.	.	.
20165	448	7	]	]	-RRB-
20165	449	1	[	[	-LRB-
20165	449	2	Illustration	illustration	NN
20165	449	3	:	:	:
20165	449	4	Fig	Fig	NNP
20165	449	5	.	.	.
20165	450	1	51	51	CD
20165	450	2	E.	E.	NNP
20165	450	3	Geometrical	Geometrical	NNP
20165	450	4	parallels	parallel	NNS
20165	450	5	.	.	.
20165	450	6	]	]	-RRB-
20165	451	1	[	[	-LRB-
20165	451	2	Illustration	illustration	NN
20165	451	3	:	:	:
20165	451	4	Fig	Fig	NNP
20165	451	5	.	.	.
20165	452	1	51	51	CD
20165	452	2	F.	F.	NNP
20165	452	3	Perspective	Perspective	NNP
20165	452	4	parallels	parallel	NNS
20165	452	5	.	.	.
20165	452	6	]	]	-RRB-
20165	453	1	[	[	-LRB-
20165	453	2	Illustration	illustration	NN
20165	453	3	:	:	:
20165	453	4	Fig	Fig	NNP
20165	453	5	.	.	.
20165	454	1	51	51	CD
20165	454	2	G.	G.	NNP
20165	454	3	Geometrical	Geometrical	NNP
20165	454	4	perpendicular	perpendicular	NN
20165	454	5	.	.	.
20165	454	6	]	]	-RRB-
20165	455	1	[	[	-LRB-
20165	455	2	Illustration	illustration	NN
20165	455	3	:	:	:
20165	455	4	Fig	Fig	NNP
20165	455	5	.	.	.
20165	456	1	51	51	CD
20165	456	2	H.	H.	NNP
20165	456	3	Perspective	Perspective	NNP
20165	456	4	perpendicular	perpendicular	NN
20165	456	5	.	.	.
20165	456	6	]	]	-RRB-
20165	457	1	[	[	-LRB-
20165	457	2	Illustration	illustration	NN
20165	457	3	:	:	:
20165	457	4	Fig	Fig	NNP
20165	457	5	.	.	.
20165	458	1	51	51	CD
20165	458	2	I.	i.	NN
20165	458	3	Geometrical	geometrical	JJ
20165	458	4	equal	equal	JJ
20165	458	5	lines	line	NNS
20165	458	6	.	.	.
20165	458	7	]	]	-RRB-
20165	459	1	[	[	-LRB-
20165	459	2	Illustration	illustration	NN
20165	459	3	:	:	:
20165	459	4	Fig	Fig	NNP
20165	459	5	.	.	.
20165	460	1	51	51	CD
20165	460	2	J.	J.	NNP
20165	461	1	Perspective	perspective	JJ
20165	461	2	equal	equal	JJ
20165	461	3	lines	line	NNS
20165	461	4	.	.	.
20165	461	5	]	]	-RRB-
20165	462	1	[	[	-LRB-
20165	462	2	Illustration	illustration	NN
20165	462	3	:	:	:
20165	462	4	Fig	Fig	NNP
20165	462	5	.	.	.
20165	463	1	51	51	CD
20165	463	2	K.	K.	NNP
20165	463	3	A	a	DT
20165	463	4	geometrical	geometrical	JJ
20165	463	5	circle	circle	NN
20165	463	6	.	.	.
20165	463	7	]	]	-RRB-
20165	464	1	[	[	-LRB-
20165	464	2	Illustration	illustration	NN
20165	464	3	:	:	:
20165	464	4	Fig	Fig	NNP
20165	464	5	.	.	.
20165	465	1	51	51	CD
20165	465	2	L.	L.	NNP
20165	465	3	A	A	NNP
20165	465	4	perspective	perspective	NN
20165	465	5	circle	circle	NN
20165	465	6	.	.	.
20165	465	7	]	]	-RRB-
20165	466	1	XIII	xiii	NN
20165	466	2	OF	of	IN
20165	466	3	CERTAIN	certain	JJ
20165	466	4	TERMS	term	NNS
20165	466	5	MADE	make	VBD
20165	466	6	USE	use	NN
20165	466	7	OF	of	IN
20165	466	8	IN	in	IN
20165	466	9	PERSPECTIVE	perspective	NN
20165	466	10	Of	of	RB
20165	466	11	course	course	RB
20165	466	12	when	when	WRB
20165	466	13	we	-PRON-	PRP
20165	466	14	speak	speak	VBP
20165	466	15	of	of	IN
20165	466	16	+	+	UH
20165	466	17	Perpendiculars+	Perpendiculars+	NNP
20165	466	18	we	-PRON-	PRP
20165	466	19	do	do	VBP
20165	466	20	not	not	RB
20165	466	21	mean	mean	VB
20165	466	22	verticals	vertical	NNS
20165	466	23	only	only	RB
20165	466	24	,	,	,
20165	466	25	but	but	CC
20165	466	26	straight	straight	JJ
20165	466	27	lines	line	NNS
20165	466	28	at	at	IN
20165	466	29	right	right	JJ
20165	466	30	angles	angle	NNS
20165	466	31	to	to	IN
20165	466	32	other	other	JJ
20165	466	33	lines	line	NNS
20165	466	34	in	in	IN
20165	466	35	any	any	DT
20165	466	36	position	position	NN
20165	466	37	.	.	.
20165	467	1	Also	also	RB
20165	467	2	in	in	IN
20165	467	3	speaking	speak	VBG
20165	467	4	of	of	IN
20165	467	5	+	+	SYM
20165	467	6	lines+	lines+	VB
20165	467	7	a	a	DT
20165	467	8	right	right	NN
20165	467	9	or	or	CC
20165	467	10	+	+	CC
20165	467	11	straight	straight	JJ
20165	467	12	line+	line+	NN
20165	467	13	is	be	VBZ
20165	467	14	to	to	TO
20165	467	15	be	be	VB
20165	467	16	understood	understand	VBN
20165	467	17	;	;	:
20165	467	18	or	or	CC
20165	467	19	when	when	WRB
20165	467	20	we	-PRON-	PRP
20165	467	21	speak	speak	VBP
20165	467	22	of	of	IN
20165	467	23	+	+	$
20165	467	24	horizontals+	horizontals+	NN
20165	467	25	we	-PRON-	PRP
20165	467	26	mean	mean	VBP
20165	467	27	all	all	DT
20165	467	28	straight	straight	JJ
20165	467	29	lines	line	NNS
20165	467	30	that	that	WDT
20165	467	31	are	be	VBP
20165	467	32	parallel	parallel	JJ
20165	467	33	to	to	IN
20165	467	34	the	the	DT
20165	467	35	perspective	perspective	JJ
20165	467	36	plane	plane	NN
20165	467	37	,	,	,
20165	467	38	such	such	JJ
20165	467	39	as	as	IN
20165	467	40	those	those	DT
20165	467	41	on	on	IN
20165	467	42	Fig	Fig	NNP
20165	467	43	.	.	.
20165	468	1	52	52	CD
20165	468	2	,	,	,
20165	468	3	no	no	RB
20165	468	4	matter	matter	RB
20165	468	5	what	what	WDT
20165	468	6	direction	direction	NN
20165	468	7	they	-PRON-	PRP
20165	468	8	take	take	VBP
20165	468	9	so	so	RB
20165	468	10	long	long	RB
20165	468	11	as	as	IN
20165	468	12	they	-PRON-	PRP
20165	468	13	are	be	VBP
20165	468	14	level	level	JJ
20165	468	15	.	.	.
20165	469	1	They	-PRON-	PRP
20165	469	2	are	be	VBP
20165	469	3	not	not	RB
20165	469	4	to	to	TO
20165	469	5	be	be	VB
20165	469	6	confused	confuse	VBN
20165	469	7	with	with	IN
20165	469	8	the	the	DT
20165	469	9	horizon	horizon	NN
20165	469	10	or	or	CC
20165	469	11	horizontal	horizontal	JJ
20165	469	12	-	-	HYPH
20165	469	13	line	line	NN
20165	469	14	.	.	.
20165	470	1	[	[	-LRB-
20165	470	2	Illustration	illustration	NN
20165	470	3	:	:	:
20165	470	4	Fig	Fig	NNP
20165	470	5	.	.	.
20165	471	1	52	52	CD
20165	471	2	.	.	.
20165	472	1	Horizontals	horizontal	NNS
20165	472	2	.	.	.
20165	472	3	]	]	-RRB-
20165	473	1	There	there	EX
20165	473	2	are	be	VBP
20165	473	3	one	one	CD
20165	473	4	or	or	CC
20165	473	5	two	two	CD
20165	473	6	other	other	JJ
20165	473	7	terms	term	NNS
20165	473	8	used	use	VBN
20165	473	9	in	in	IN
20165	473	10	perspective	perspective	NN
20165	473	11	which	which	WDT
20165	473	12	are	be	VBP
20165	473	13	not	not	RB
20165	473	14	satisfactory	satisfactory	JJ
20165	473	15	because	because	IN
20165	473	16	they	-PRON-	PRP
20165	473	17	are	be	VBP
20165	473	18	confusing	confusing	JJ
20165	473	19	,	,	,
20165	473	20	such	such	JJ
20165	473	21	as	as	IN
20165	473	22	vanishing	vanish	VBG
20165	473	23	lines	line	NNS
20165	473	24	and	and	CC
20165	473	25	vanishing	vanish	VBG
20165	473	26	points	point	NNS
20165	473	27	.	.	.
20165	474	1	The	the	DT
20165	474	2	French	french	JJ
20165	474	3	term	term	NN
20165	474	4	,	,	,
20165	474	5	_	_	NNP
20165	474	6	fuyante	fuyante	JJ
20165	474	7	_	_	NNP
20165	474	8	or	or	CC
20165	474	9	_	_	NNP
20165	474	10	lignes	ligne	NNS
20165	474	11	fuyantes	fuyante	NNS
20165	474	12	_	_	NNP
20165	474	13	,	,	,
20165	474	14	or	or	CC
20165	474	15	going	go	VBG
20165	474	16	-	-	HYPH
20165	474	17	away	away	RP
20165	474	18	lines	line	NNS
20165	474	19	,	,	,
20165	474	20	is	be	VBZ
20165	474	21	more	more	RBR
20165	474	22	expressive	expressive	JJ
20165	474	23	;	;	:
20165	474	24	and	and	CC
20165	474	25	_	_	NNP
20165	474	26	point	point	NN
20165	474	27	de	de	IN
20165	474	28	fuite	fuite	NNP
20165	474	29	_	_	NNP
20165	474	30	,	,	,
20165	474	31	instead	instead	RB
20165	474	32	of	of	IN
20165	474	33	vanishing	vanish	VBG
20165	474	34	point	point	NN
20165	474	35	,	,	,
20165	474	36	is	be	VBZ
20165	474	37	much	much	RB
20165	474	38	better	well	JJR
20165	474	39	.	.	.
20165	475	1	I	-PRON-	PRP
20165	475	2	have	have	VBP
20165	475	3	occasionally	occasionally	RB
20165	475	4	called	call	VBN
20165	475	5	the	the	DT
20165	475	6	former	former	JJ
20165	475	7	retreating	retreat	VBG
20165	475	8	lines	line	NNS
20165	475	9	,	,	,
20165	475	10	but	but	CC
20165	475	11	the	the	DT
20165	475	12	simple	simple	JJ
20165	475	13	meaning	meaning	NN
20165	475	14	is	be	VBZ
20165	475	15	,	,	,
20165	475	16	lines	line	NNS
20165	475	17	that	that	WDT
20165	475	18	are	be	VBP
20165	475	19	not	not	RB
20165	475	20	parallel	parallel	JJ
20165	475	21	to	to	IN
20165	475	22	the	the	DT
20165	475	23	picture	picture	NN
20165	475	24	plane	plane	NN
20165	475	25	;	;	:
20165	475	26	but	but	CC
20165	475	27	a	a	DT
20165	475	28	vanishing	vanish	VBG
20165	475	29	line	line	NN
20165	475	30	implies	imply	VBZ
20165	475	31	a	a	DT
20165	475	32	line	line	NN
20165	475	33	that	that	WDT
20165	475	34	disappears	disappear	VBZ
20165	475	35	,	,	,
20165	475	36	and	and	CC
20165	475	37	a	a	DT
20165	475	38	vanishing	vanish	VBG
20165	475	39	point	point	NN
20165	475	40	implies	imply	VBZ
20165	475	41	a	a	DT
20165	475	42	point	point	NN
20165	475	43	that	that	WDT
20165	475	44	gradually	gradually	RB
20165	475	45	goes	go	VBZ
20165	475	46	out	out	IN
20165	475	47	of	of	IN
20165	475	48	sight	sight	NN
20165	475	49	.	.	.
20165	476	1	Still	still	RB
20165	476	2	,	,	,
20165	476	3	it	-PRON-	PRP
20165	476	4	is	be	VBZ
20165	476	5	difficult	difficult	JJ
20165	476	6	to	to	TO
20165	476	7	alter	alter	VB
20165	476	8	terms	term	NNS
20165	476	9	that	that	IN
20165	476	10	custom	custom	NN
20165	476	11	has	have	VBZ
20165	476	12	endorsed	endorse	VBN
20165	476	13	.	.	.
20165	477	1	All	all	DT
20165	477	2	we	-PRON-	PRP
20165	477	3	can	can	MD
20165	477	4	do	do	VB
20165	477	5	is	be	VBZ
20165	477	6	to	to	TO
20165	477	7	use	use	VB
20165	477	8	as	as	RB
20165	477	9	few	few	JJ
20165	477	10	of	of	IN
20165	477	11	them	-PRON-	PRP
20165	477	12	as	as	IN
20165	477	13	possible	possible	JJ
20165	477	14	.	.	.
20165	478	1	XIV	XIV	NNP
20165	478	2	HOW	how	WRB
20165	478	3	TO	to	TO
20165	478	4	MEASURE	measure	VB
20165	478	5	VANISHING	vanishing	NN
20165	478	6	OR	or	CC
20165	478	7	RECEDING	RECEDING	NNP
20165	478	8	LINES	LINES	NNP
20165	478	9	Divide	Divide	NNP
20165	478	10	a	a	DT
20165	478	11	vanishing	vanish	VBG
20165	478	12	line	line	NN
20165	478	13	which	which	WDT
20165	478	14	is	be	VBZ
20165	478	15	at	at	IN
20165	478	16	right	right	JJ
20165	478	17	angles	angle	NNS
20165	478	18	to	to	IN
20165	478	19	the	the	DT
20165	478	20	picture	picture	NN
20165	478	21	plane	plane	NN
20165	478	22	into	into	IN
20165	478	23	any	any	DT
20165	478	24	number	number	NN
20165	478	25	of	of	IN
20165	478	26	given	give	VBN
20165	478	27	measurements	measurement	NNS
20165	478	28	.	.	.
20165	479	1	Let	let	VB
20165	479	2	_	_	NNP
20165	479	3	SA	SA	NNP
20165	479	4	_	_	NNP
20165	479	5	be	be	VB
20165	479	6	the	the	DT
20165	479	7	given	give	VBN
20165	479	8	line	line	NN
20165	479	9	.	.	.
20165	480	1	From	from	IN
20165	480	2	_	_	NNP
20165	480	3	A	A	NNP
20165	480	4	_	_	NNP
20165	480	5	measure	measure	NN
20165	480	6	off	off	RP
20165	480	7	on	on	IN
20165	480	8	the	the	DT
20165	480	9	base	base	NN
20165	480	10	line	line	NN
20165	480	11	the	the	DT
20165	480	12	divisions	division	NNS
20165	480	13	required	require	VBN
20165	480	14	,	,	,
20165	480	15	say	say	VBP
20165	480	16	five	five	CD
20165	480	17	of	of	IN
20165	480	18	1	1	CD
20165	480	19	foot	foot	NN
20165	480	20	each	each	DT
20165	480	21	;	;	:
20165	480	22	from	from	IN
20165	480	23	each	each	DT
20165	480	24	division	division	NN
20165	480	25	draw	draw	VBP
20165	480	26	diagonals	diagonal	NNS
20165	480	27	to	to	TO
20165	480	28	point	point	VB
20165	480	29	of	of	IN
20165	480	30	distance	distance	NN
20165	480	31	_	_	NNP
20165	480	32	D	D	NNP
20165	480	33	_	_	NNP
20165	480	34	,	,	,
20165	480	35	and	and	CC
20165	480	36	where	where	WRB
20165	480	37	these	these	DT
20165	480	38	intersect	intersect	VBP
20165	480	39	the	the	DT
20165	480	40	line	line	NN
20165	480	41	_	_	NNP
20165	480	42	AC	AC	NNP
20165	480	43	_	_	NNP
20165	480	44	the	the	DT
20165	480	45	corresponding	correspond	VBG
20165	480	46	divisions	division	NNS
20165	480	47	will	will	MD
20165	480	48	be	be	VB
20165	480	49	found	find	VBN
20165	480	50	.	.	.
20165	481	1	Note	note	VB
20165	481	2	that	that	IN
20165	481	3	as	as	IN
20165	481	4	lines	line	NNS
20165	481	5	_	_	NNP
20165	481	6	AB	AB	NNP
20165	481	7	_	_	NNP
20165	481	8	and	and	CC
20165	481	9	_	_	NNP
20165	481	10	AC	AC	NNP
20165	481	11	_	_	NNP
20165	481	12	are	be	VBP
20165	481	13	two	two	CD
20165	481	14	sides	side	NNS
20165	481	15	of	of	IN
20165	481	16	the	the	DT
20165	481	17	same	same	JJ
20165	481	18	square	square	NN
20165	481	19	they	-PRON-	PRP
20165	481	20	are	be	VBP
20165	481	21	necessarily	necessarily	RB
20165	481	22	equal	equal	JJ
20165	481	23	,	,	,
20165	481	24	and	and	CC
20165	481	25	so	so	RB
20165	481	26	also	also	RB
20165	481	27	are	be	VBP
20165	481	28	the	the	DT
20165	481	29	divisions	division	NNS
20165	481	30	on	on	IN
20165	481	31	_	_	NNP
20165	481	32	AC	AC	NNP
20165	481	33	_	_	NNP
20165	481	34	equal	equal	JJ
20165	481	35	to	to	IN
20165	481	36	those	those	DT
20165	481	37	on	on	IN
20165	481	38	_	_	NNP
20165	481	39	AB	AB	NNP
20165	481	40	_	_	NNP
20165	481	41	.	.	.
20165	482	1	[	[	-LRB-
20165	482	2	Illustration	illustration	NN
20165	482	3	:	:	:
20165	482	4	Fig	Fig	NNP
20165	482	5	.	.	.
20165	483	1	53	53	CD
20165	483	2	.	.	.
20165	483	3	]	]	-RRB-
20165	484	1	The	the	DT
20165	484	2	line	line	NN
20165	484	3	_	_	NNP
20165	484	4	AB	AB	NNP
20165	484	5	_	_	NNP
20165	484	6	being	be	VBG
20165	484	7	the	the	DT
20165	484	8	base	base	NN
20165	484	9	of	of	IN
20165	484	10	the	the	DT
20165	484	11	picture	picture	NN
20165	484	12	,	,	,
20165	484	13	it	-PRON-	PRP
20165	484	14	is	be	VBZ
20165	484	15	at	at	IN
20165	484	16	the	the	DT
20165	484	17	same	same	JJ
20165	484	18	time	time	NN
20165	484	19	a	a	DT
20165	484	20	perspective	perspective	NN
20165	484	21	line	line	NN
20165	484	22	and	and	CC
20165	484	23	a	a	DT
20165	484	24	geometrical	geometrical	JJ
20165	484	25	one	one	NN
20165	484	26	,	,	,
20165	484	27	so	so	IN
20165	484	28	that	that	IN
20165	484	29	we	-PRON-	PRP
20165	484	30	can	can	MD
20165	484	31	use	use	VB
20165	484	32	it	-PRON-	PRP
20165	484	33	as	as	IN
20165	484	34	a	a	DT
20165	484	35	scale	scale	NN
20165	484	36	for	for	IN
20165	484	37	measuring	measure	VBG
20165	484	38	given	give	VBN
20165	484	39	lengths	length	NNS
20165	484	40	thereon	thereon	NN
20165	484	41	,	,	,
20165	484	42	but	but	CC
20165	484	43	should	should	MD
20165	484	44	there	there	EX
20165	484	45	not	not	RB
20165	484	46	be	be	VB
20165	484	47	enough	enough	JJ
20165	484	48	room	room	NN
20165	484	49	on	on	IN
20165	484	50	it	-PRON-	PRP
20165	484	51	to	to	TO
20165	484	52	measure	measure	VB
20165	484	53	the	the	DT
20165	484	54	required	required	JJ
20165	484	55	number	number	NN
20165	484	56	we	-PRON-	PRP
20165	484	57	draw	draw	VBP
20165	484	58	a	a	DT
20165	484	59	second	second	JJ
20165	484	60	line	line	NN
20165	484	61	,	,	,
20165	484	62	_	_	NNP
20165	484	63	DC	DC	NNP
20165	484	64	_	_	NNP
20165	484	65	,	,	,
20165	484	66	which	which	WDT
20165	484	67	we	-PRON-	PRP
20165	484	68	divide	divide	VBP
20165	484	69	in	in	IN
20165	484	70	the	the	DT
20165	484	71	same	same	JJ
20165	484	72	proportion	proportion	NN
20165	484	73	and	and	CC
20165	484	74	proceed	proceed	VB
20165	484	75	to	to	TO
20165	484	76	divide	divide	VB
20165	484	77	_	_	NNP
20165	484	78	cf	cf	NNP
20165	484	79	_	_	NNP
20165	484	80	.	.	.
20165	485	1	This	this	DT
20165	485	2	geometrical	geometrical	JJ
20165	485	3	figure	figure	NN
20165	485	4	gives	give	VBZ
20165	485	5	,	,	,
20165	485	6	as	as	IN
20165	485	7	it	-PRON-	PRP
20165	485	8	were	be	VBD
20165	485	9	,	,	,
20165	485	10	a	a	DT
20165	485	11	bird's	bird's	NN
20165	485	12	-	-	HYPH
20165	485	13	eye	eye	NN
20165	485	14	view	view	NN
20165	485	15	or	or	CC
20165	485	16	ground	ground	NN
20165	485	17	-	-	HYPH
20165	485	18	plan	plan	NN
20165	485	19	of	of	IN
20165	485	20	the	the	DT
20165	485	21	above	above	JJ
20165	485	22	.	.	.
20165	486	1	[	[	-LRB-
20165	486	2	Illustration	illustration	NN
20165	486	3	:	:	:
20165	486	4	Fig	Fig	NNP
20165	486	5	.	.	.
20165	487	1	54	54	CD
20165	487	2	.	.	.
20165	487	3	]	]	-RRB-
20165	488	1	XV	XV	NNP
20165	488	2	HOW	how	WRB
20165	488	3	TO	to	TO
20165	488	4	PLACE	place	VB
20165	488	5	SQUARES	square	VBN
20165	488	6	IN	in	IN
20165	488	7	GIVEN	given	NN
20165	488	8	POSITIONS	position	NNS
20165	488	9	Draw	draw	NN
20165	488	10	squares	square	NNS
20165	488	11	of	of	IN
20165	488	12	given	give	VBN
20165	488	13	dimensions	dimension	NNS
20165	488	14	at	at	IN
20165	488	15	given	give	VBN
20165	488	16	distances	distance	NNS
20165	488	17	from	from	IN
20165	488	18	the	the	DT
20165	488	19	base	base	NN
20165	488	20	line	line	NN
20165	488	21	to	to	IN
20165	488	22	the	the	DT
20165	488	23	right	right	NN
20165	488	24	or	or	CC
20165	488	25	left	leave	VBD
20165	488	26	of	of	IN
20165	488	27	the	the	DT
20165	488	28	vertical	vertical	JJ
20165	488	29	line	line	NN
20165	488	30	,	,	,
20165	488	31	which	which	WDT
20165	488	32	passes	pass	VBZ
20165	488	33	through	through	IN
20165	488	34	the	the	DT
20165	488	35	point	point	NN
20165	488	36	of	of	IN
20165	488	37	sight	sight	NN
20165	488	38	.	.	.
20165	489	1	[	[	-LRB-
20165	489	2	Illustration	illustration	NN
20165	489	3	:	:	:
20165	489	4	Fig	Fig	NNP
20165	489	5	.	.	.
20165	490	1	55	55	CD
20165	490	2	.	.	.
20165	490	3	]	]	-RRB-
20165	491	1	Let	let	VB
20165	491	2	_	_	NNP
20165	491	3	ab	ab	NNP
20165	491	4	_	_	NNP
20165	491	5	(	(	-LRB-
20165	491	6	Fig	Fig	NNP
20165	491	7	.	.	.
20165	492	1	55	55	CD
20165	492	2	)	)	-RRB-
20165	492	3	represent	represent	VBP
20165	492	4	the	the	DT
20165	492	5	base	base	NN
20165	492	6	line	line	NN
20165	492	7	of	of	IN
20165	492	8	the	the	DT
20165	492	9	picture	picture	NN
20165	492	10	divided	divide	VBN
20165	492	11	into	into	IN
20165	492	12	a	a	DT
20165	492	13	certain	certain	JJ
20165	492	14	number	number	NN
20165	492	15	of	of	IN
20165	492	16	feet	foot	NNS
20165	492	17	;	;	:
20165	492	18	_	_	NNP
20165	492	19	HD	HD	NNP
20165	492	20	_	_	NNP
20165	492	21	the	the	DT
20165	492	22	horizon	horizon	NN
20165	492	23	,	,	,
20165	492	24	_	_	NNP
20165	492	25	VO	VO	NNP
20165	492	26	_	_	NNP
20165	492	27	the	the	DT
20165	492	28	vertical	vertical	NN
20165	492	29	.	.	.
20165	493	1	It	-PRON-	PRP
20165	493	2	is	be	VBZ
20165	493	3	required	require	VBN
20165	493	4	to	to	TO
20165	493	5	draw	draw	VB
20165	493	6	a	a	DT
20165	493	7	square	square	JJ
20165	493	8	3	3	CD
20165	493	9	feet	foot	NNS
20165	493	10	wide	wide	JJ
20165	493	11	,	,	,
20165	493	12	2	2	CD
20165	493	13	feet	foot	NNS
20165	493	14	to	to	IN
20165	493	15	the	the	DT
20165	493	16	right	right	NN
20165	493	17	of	of	IN
20165	493	18	the	the	DT
20165	493	19	vertical	vertical	JJ
20165	493	20	,	,	,
20165	493	21	and	and	CC
20165	493	22	1	1	CD
20165	493	23	foot	foot	NN
20165	493	24	from	from	IN
20165	493	25	the	the	DT
20165	493	26	base	base	NN
20165	493	27	.	.	.
20165	494	1	First	first	JJ
20165	494	2	measure	measure	NN
20165	494	3	from	from	IN
20165	494	4	_	_	NNP
20165	494	5	V	V	NNP
20165	494	6	_	_	NNP
20165	494	7	,	,	,
20165	494	8	2	2	CD
20165	494	9	feet	foot	NNS
20165	494	10	to	to	IN
20165	494	11	_	_	NNP
20165	494	12	e	e	NNP
20165	494	13	_	_	NNP
20165	494	14	,	,	,
20165	494	15	which	which	WDT
20165	494	16	gives	give	VBZ
20165	494	17	the	the	DT
20165	494	18	distance	distance	NN
20165	494	19	from	from	IN
20165	494	20	the	the	DT
20165	494	21	vertical	vertical	NN
20165	494	22	.	.	.
20165	495	1	Second	second	JJ
20165	495	2	,	,	,
20165	495	3	from	from	IN
20165	495	4	_	_	NNP
20165	495	5	e	e	NNP
20165	495	6	_	_	NNP
20165	495	7	measure	measure	NN
20165	495	8	3	3	CD
20165	495	9	feet	foot	NNS
20165	495	10	to	to	IN
20165	495	11	_	_	NNP
20165	495	12	b	b	NNP
20165	495	13	_	_	NNP
20165	495	14	,	,	,
20165	495	15	which	which	WDT
20165	495	16	gives	give	VBZ
20165	495	17	the	the	DT
20165	495	18	width	width	NN
20165	495	19	of	of	IN
20165	495	20	the	the	DT
20165	495	21	square	square	NN
20165	495	22	;	;	:
20165	495	23	from	from	IN
20165	495	24	_	_	NNP
20165	495	25	e	e	NNP
20165	495	26	_	_	NNP
20165	495	27	and	and	CC
20165	495	28	_	_	NNP
20165	495	29	b	b	NNP
20165	495	30	_	_	NNP
20165	495	31	draw	draw	NN
20165	495	32	_	_	NNP
20165	495	33	eS	eS	NNP
20165	495	34	_	_	NNP
20165	495	35	,	,	,
20165	495	36	_	_	NNP
20165	495	37	bS	bS	NNP
20165	495	38	_	_	NNP
20165	495	39	,	,	,
20165	495	40	to	to	IN
20165	495	41	point	point	NN
20165	495	42	of	of	IN
20165	495	43	sight	sight	NN
20165	495	44	.	.	.
20165	496	1	From	from	IN
20165	496	2	either	either	CC
20165	496	3	_	_	NNP
20165	496	4	e	e	NNP
20165	496	5	_	_	NNP
20165	496	6	or	or	CC
20165	496	7	_	_	NNP
20165	496	8	b	b	NNP
20165	496	9	_	_	NNP
20165	496	10	measure	measure	NN
20165	496	11	1	1	CD
20165	496	12	foot	foot	NN
20165	496	13	to	to	IN
20165	496	14	the	the	DT
20165	496	15	left	left	NN
20165	496	16	,	,	,
20165	496	17	to	to	IN
20165	496	18	_	_	NNP
20165	496	19	f	f	NNP
20165	496	20	_	_	NNP
20165	496	21	or	or	CC
20165	496	22	_	_	NNP
20165	496	23	f	f	NNP
20165	496	24	·	·	NFP
20165	496	25	_	_	NNP
20165	496	26	.	.	.
20165	497	1	Draw	Draw	NNP
20165	497	2	_	_	NNP
20165	497	3	fD	fD	NNP
20165	497	4	_	_	NNP
20165	497	5	to	to	TO
20165	497	6	point	point	NN
20165	497	7	of	of	IN
20165	497	8	distance	distance	NN
20165	497	9	,	,	,
20165	497	10	which	which	WDT
20165	497	11	intersects	intersect	VBZ
20165	497	12	_	_	NNP
20165	497	13	eS	eS	NNP
20165	497	14	_	_	NNP
20165	497	15	at	at	IN
20165	497	16	_	_	NNP
20165	497	17	P	P	NNP
20165	497	18	_	_	NNP
20165	497	19	,	,	,
20165	497	20	and	and	CC
20165	497	21	gives	give	VBZ
20165	497	22	the	the	DT
20165	497	23	required	require	VBN
20165	497	24	distance	distance	NN
20165	497	25	from	from	IN
20165	497	26	base	base	NN
20165	497	27	.	.	.
20165	498	1	Draw	Draw	NNP
20165	498	2	_	_	NNP
20165	498	3	Pg	Pg	NNP
20165	498	4	_	_	NNP
20165	498	5	and	and	CC
20165	498	6	_	_	NNP
20165	498	7	B	B	NNP
20165	498	8	_	_	NNP
20165	498	9	parallel	parallel	NN
20165	498	10	to	to	IN
20165	498	11	the	the	DT
20165	498	12	base	base	NN
20165	498	13	,	,	,
20165	498	14	and	and	CC
20165	498	15	we	-PRON-	PRP
20165	498	16	have	have	VBP
20165	498	17	the	the	DT
20165	498	18	required	require	VBN
20165	498	19	square	square	NN
20165	498	20	.	.	.
20165	499	1	Square	Square	NNP
20165	499	2	_	_	NNP
20165	499	3	A	A	NNP
20165	499	4	_	_	NNP
20165	499	5	to	to	IN
20165	499	6	the	the	DT
20165	499	7	left	left	NN
20165	499	8	of	of	IN
20165	499	9	the	the	DT
20165	499	10	vertical	vertical	JJ
20165	499	11	is	be	VBZ
20165	499	12	2½	2½	CD
20165	499	13	feet	foot	NNS
20165	499	14	wide	wide	JJ
20165	499	15	,	,	,
20165	499	16	1	1	CD
20165	499	17	foot	foot	NN
20165	499	18	from	from	IN
20165	499	19	the	the	DT
20165	499	20	vertical	vertical	JJ
20165	499	21	and	and	CC
20165	499	22	2	2	CD
20165	499	23	feet	foot	NNS
20165	499	24	from	from	IN
20165	499	25	the	the	DT
20165	499	26	base	base	NN
20165	499	27	,	,	,
20165	499	28	and	and	CC
20165	499	29	is	be	VBZ
20165	499	30	worked	work	VBN
20165	499	31	out	out	RP
20165	499	32	in	in	IN
20165	499	33	the	the	DT
20165	499	34	same	same	JJ
20165	499	35	way	way	NN
20165	499	36	.	.	.
20165	500	1	_	_	NNP
20165	500	2	Note._--It	Note._--It	NNP
20165	500	3	is	be	VBZ
20165	500	4	necessary	necessary	JJ
20165	500	5	to	to	TO
20165	500	6	know	know	VB
20165	500	7	how	how	WRB
20165	500	8	to	to	TO
20165	500	9	work	work	VB
20165	500	10	to	to	TO
20165	500	11	scale	scale	VB
20165	500	12	,	,	,
20165	500	13	especially	especially	RB
20165	500	14	in	in	IN
20165	500	15	architectural	architectural	JJ
20165	500	16	drawing	drawing	NN
20165	500	17	,	,	,
20165	500	18	where	where	WRB
20165	500	19	it	-PRON-	PRP
20165	500	20	is	be	VBZ
20165	500	21	indispensable	indispensable	JJ
20165	500	22	,	,	,
20165	500	23	but	but	CC
20165	500	24	in	in	IN
20165	500	25	working	work	VBG
20165	500	26	out	out	RP
20165	500	27	our	-PRON-	PRP$
20165	500	28	propositions	proposition	NNS
20165	500	29	and	and	CC
20165	500	30	figures	figure	NNS
20165	500	31	it	-PRON-	PRP
20165	500	32	is	be	VBZ
20165	500	33	not	not	RB
20165	500	34	always	always	RB
20165	500	35	desirable	desirable	JJ
20165	500	36	.	.	.
20165	501	1	A	a	DT
20165	501	2	given	give	VBN
20165	501	3	length	length	NN
20165	501	4	indicated	indicate	VBN
20165	501	5	by	by	IN
20165	501	6	a	a	DT
20165	501	7	line	line	NN
20165	501	8	is	be	VBZ
20165	501	9	generally	generally	RB
20165	501	10	sufficient	sufficient	JJ
20165	501	11	for	for	IN
20165	501	12	our	-PRON-	PRP$
20165	501	13	requirements	requirement	NNS
20165	501	14	.	.	.
20165	502	1	To	to	TO
20165	502	2	work	work	VB
20165	502	3	out	out	RP
20165	502	4	every	every	DT
20165	502	5	problem	problem	NN
20165	502	6	to	to	TO
20165	502	7	scale	scale	NN
20165	502	8	is	be	VBZ
20165	502	9	not	not	RB
20165	502	10	only	only	RB
20165	502	11	tedious	tedious	JJ
20165	502	12	and	and	CC
20165	502	13	mechanical	mechanical	JJ
20165	502	14	,	,	,
20165	502	15	but	but	CC
20165	502	16	wastes	waste	NNS
20165	502	17	time	time	NN
20165	502	18	,	,	,
20165	502	19	and	and	CC
20165	502	20	also	also	RB
20165	502	21	takes	take	VBZ
20165	502	22	the	the	DT
20165	502	23	mind	mind	NN
20165	502	24	of	of	IN
20165	502	25	the	the	DT
20165	502	26	student	student	NN
20165	502	27	away	away	RB
20165	502	28	from	from	IN
20165	502	29	the	the	DT
20165	502	30	reasoning	reasoning	NN
20165	502	31	out	out	IN
20165	502	32	of	of	IN
20165	502	33	the	the	DT
20165	502	34	subject	subject	NN
20165	502	35	.	.	.
20165	503	1	XVI	xvi	NN
20165	503	2	HOW	HOW	VBD
20165	503	3	TO	to	TO
20165	503	4	DRAW	DRAW	NNP
20165	503	5	PAVEMENTS	PAVEMENTS	NNP
20165	503	6	,	,	,
20165	503	7	&	&	CC
20165	503	8	C.	C.	NNP
20165	503	9	Divide	Divide	NNP
20165	503	10	a	a	DT
20165	503	11	vanishing	vanish	VBG
20165	503	12	line	line	NN
20165	503	13	into	into	IN
20165	503	14	parts	part	NNS
20165	503	15	varying	vary	VBG
20165	503	16	in	in	IN
20165	503	17	length	length	NN
20165	503	18	.	.	.
20165	504	1	Let	let	VB
20165	504	2	_	_	NNP
20165	504	3	BS	BS	NNP
20165	504	4	·	·	NFP
20165	504	5	_	_	NNP
20165	504	6	be	be	VB
20165	504	7	the	the	DT
20165	504	8	vanishing	vanish	VBG
20165	504	9	line	line	NN
20165	504	10	:	:	:
20165	504	11	divide	divide	VB
20165	504	12	it	-PRON-	PRP
20165	504	13	into	into	IN
20165	504	14	4	4	CD
20165	504	15	long	long	JJ
20165	504	16	and	and	CC
20165	504	17	3	3	CD
20165	504	18	short	short	JJ
20165	504	19	spaces	space	NNS
20165	504	20	;	;	:
20165	504	21	then	then	RB
20165	504	22	proceed	proceed	VB
20165	504	23	as	as	IN
20165	504	24	in	in	IN
20165	504	25	the	the	DT
20165	504	26	previous	previous	JJ
20165	504	27	figure	figure	NN
20165	504	28	.	.	.
20165	505	1	If	if	IN
20165	505	2	we	-PRON-	PRP
20165	505	3	draw	draw	VBP
20165	505	4	horizontals	horizontal	NNS
20165	505	5	through	through	IN
20165	505	6	the	the	DT
20165	505	7	points	point	NNS
20165	505	8	thus	thus	RB
20165	505	9	obtained	obtain	VBD
20165	505	10	and	and	CC
20165	505	11	from	from	IN
20165	505	12	these	these	DT
20165	505	13	raise	raise	NN
20165	505	14	verticals	vertical	NNS
20165	505	15	,	,	,
20165	505	16	we	-PRON-	PRP
20165	505	17	form	form	VBP
20165	505	18	,	,	,
20165	505	19	as	as	IN
20165	505	20	it	-PRON-	PRP
20165	505	21	were	be	VBD
20165	505	22	,	,	,
20165	505	23	the	the	DT
20165	505	24	interior	interior	NN
20165	505	25	of	of	IN
20165	505	26	a	a	DT
20165	505	27	building	building	NN
20165	505	28	in	in	IN
20165	505	29	which	which	WDT
20165	505	30	we	-PRON-	PRP
20165	505	31	can	can	MD
20165	505	32	place	place	VB
20165	505	33	pillars	pillar	NNS
20165	505	34	and	and	CC
20165	505	35	other	other	JJ
20165	505	36	objects	object	NNS
20165	505	37	.	.	.
20165	506	1	[	[	-LRB-
20165	506	2	Illustration	illustration	NN
20165	506	3	:	:	:
20165	506	4	Fig	Fig	NNP
20165	506	5	.	.	.
20165	507	1	56	56	CD
20165	507	2	.	.	.
20165	507	3	]	]	-RRB-
20165	508	1	Or	or	CC
20165	508	2	we	-PRON-	PRP
20165	508	3	can	can	MD
20165	508	4	simply	simply	RB
20165	508	5	draw	draw	VB
20165	508	6	the	the	DT
20165	508	7	plan	plan	NN
20165	508	8	of	of	IN
20165	508	9	the	the	DT
20165	508	10	pavement	pavement	NN
20165	508	11	as	as	IN
20165	508	12	in	in	IN
20165	508	13	this	this	DT
20165	508	14	figure	figure	NN
20165	508	15	.	.	.
20165	509	1	[	[	-LRB-
20165	509	2	Illustration	illustration	NN
20165	509	3	:	:	:
20165	509	4	Fig	Fig	NNP
20165	509	5	.	.	.
20165	510	1	57	57	CD
20165	510	2	.	.	.
20165	510	3	]	]	-RRB-
20165	511	1	[	[	-LRB-
20165	511	2	Illustration	illustration	NN
20165	511	3	:	:	:
20165	511	4	Fig	Fig	NNP
20165	511	5	.	.	.
20165	512	1	58	58	CD
20165	512	2	.	.	.
20165	512	3	]	]	-RRB-
20165	513	1	And	and	CC
20165	513	2	then	then	RB
20165	513	3	put	put	VB
20165	513	4	it	-PRON-	PRP
20165	513	5	into	into	IN
20165	513	6	perspective	perspective	NN
20165	513	7	.	.	.
20165	514	1	XVII	XVII	NNP
20165	514	2	OF	of	IN
20165	514	3	SQUARES	SQUARES	NNP
20165	514	4	PLACED	PLACED	NNP
20165	514	5	VERTICALLY	VERTICALLY	NNP
20165	514	6	AND	and	CC
20165	514	7	AT	at	IN
20165	514	8	DIFFERENT	DIFFERENT	NNP
20165	514	9	HEIGHTS	HEIGHTS	NNP
20165	514	10	,	,	,
20165	514	11	OR	or	CC
20165	514	12	THE	the	DT
20165	514	13	CUBE	cube	NN
20165	514	14	IN	in	IN
20165	514	15	PARALLEL	PARALLEL	NNP
20165	514	16	PERSPECTIVE	perspective	NN
20165	514	17	On	on	IN
20165	514	18	a	a	DT
20165	514	19	given	give	VBN
20165	514	20	square	square	NN
20165	514	21	raise	raise	NN
20165	514	22	a	a	DT
20165	514	23	cube	cube	NN
20165	514	24	.	.	.
20165	515	1	[	[	-LRB-
20165	515	2	Illustration	illustration	NN
20165	515	3	:	:	:
20165	515	4	Fig	Fig	NNP
20165	515	5	.	.	.
20165	516	1	59	59	CD
20165	516	2	.	.	.
20165	516	3	]	]	-RRB-
20165	517	1	_	_	NNP
20165	517	2	ABCD	ABCD	NNP
20165	517	3	_	_	NNP
20165	517	4	is	be	VBZ
20165	517	5	the	the	DT
20165	517	6	given	give	VBN
20165	517	7	square	square	NN
20165	517	8	;	;	:
20165	517	9	from	from	IN
20165	517	10	_	_	NNP
20165	517	11	A	A	NNP
20165	517	12	_	_	NNP
20165	517	13	and	and	CC
20165	517	14	_	_	NNP
20165	517	15	B	B	NNP
20165	517	16	_	_	NNP
20165	517	17	raise	raise	NN
20165	517	18	verticals	vertical	NNS
20165	517	19	_	_	NNP
20165	517	20	AE	AE	NNP
20165	517	21	_	_	NNP
20165	517	22	,	,	,
20165	517	23	_	_	NNP
20165	517	24	BF	BF	NNP
20165	517	25	_	_	NNP
20165	517	26	,	,	,
20165	517	27	equal	equal	JJ
20165	517	28	to	to	IN
20165	517	29	_	_	NNP
20165	517	30	AB	AB	NNP
20165	517	31	_	_	NNP
20165	517	32	;	;	:
20165	517	33	join	join	NNP
20165	517	34	_	_	NNP
20165	517	35	EF	EF	NNP
20165	517	36	_	_	NNP
20165	517	37	.	.	.
20165	518	1	Draw	draw	VB
20165	518	2	_	_	NNP
20165	518	3	ES	ES	NNP
20165	518	4	_	_	NNP
20165	518	5	,	,	,
20165	518	6	_	_	NNP
20165	518	7	FS	FS	NNP
20165	518	8	_	_	NNP
20165	518	9	,	,	,
20165	518	10	to	to	IN
20165	518	11	point	point	NN
20165	518	12	of	of	IN
20165	518	13	sight	sight	NN
20165	518	14	;	;	:
20165	518	15	from	from	IN
20165	518	16	_	_	NNP
20165	518	17	C	C	NNP
20165	518	18	_	_	NNP
20165	518	19	and	and	CC
20165	518	20	_	_	NNP
20165	518	21	D	D	NNP
20165	518	22	_	_	NNP
20165	518	23	raise	raise	NN
20165	518	24	verticals	vertical	NNS
20165	518	25	_	_	NNP
20165	518	26	CG	CG	NNP
20165	518	27	_	_	NNP
20165	518	28	,	,	,
20165	518	29	_	_	NNP
20165	518	30	DH	DH	NNP
20165	518	31	_	_	NNP
20165	518	32	,	,	,
20165	518	33	till	till	IN
20165	518	34	they	-PRON-	PRP
20165	518	35	meet	meet	VBP
20165	518	36	vanishing	vanish	VBG
20165	518	37	lines	line	NNS
20165	518	38	_	_	NNP
20165	518	39	ES	ES	NNP
20165	518	40	_	_	NNP
20165	518	41	,	,	,
20165	518	42	_	_	NNP
20165	518	43	FS	FS	NNP
20165	518	44	_	_	NNP
20165	518	45	,	,	,
20165	518	46	in	in	IN
20165	518	47	_	_	NNP
20165	518	48	G	G	NNP
20165	518	49	_	_	NNP
20165	518	50	and	and	CC
20165	518	51	_	_	NNP
20165	518	52	H	H	NNP
20165	518	53	_	_	NNP
20165	518	54	,	,	,
20165	518	55	and	and	CC
20165	518	56	the	the	DT
20165	518	57	cube	cube	NN
20165	518	58	is	be	VBZ
20165	518	59	complete	complete	JJ
20165	518	60	.	.	.
20165	519	1	XVIII	xviii	VB
20165	519	2	THE	the	DT
20165	519	3	TRANSPOSED	transposed	NN
20165	519	4	DISTANCE	DISTANCE	NNP
20165	519	5	The	the	DT
20165	519	6	transposed	transpose	VBN
20165	519	7	distance	distance	NN
20165	519	8	is	be	VBZ
20165	519	9	a	a	DT
20165	519	10	point	point	NN
20165	519	11	_	_	NNP
20165	519	12	D	d	NN
20165	519	13	·	·	NFP
20165	519	14	_	_	NNP
20165	519	15	on	on	IN
20165	519	16	the	the	DT
20165	519	17	vertical	vertical	JJ
20165	519	18	_	_	NNP
20165	519	19	VD	VD	NNP
20165	519	20	·	·	NFP
20165	519	21	_	_	NNP
20165	519	22	,	,	,
20165	519	23	at	at	IN
20165	519	24	exactly	exactly	RB
20165	519	25	the	the	DT
20165	519	26	same	same	JJ
20165	519	27	distance	distance	NN
20165	519	28	from	from	IN
20165	519	29	the	the	DT
20165	519	30	point	point	NN
20165	519	31	of	of	IN
20165	519	32	sight	sight	NN
20165	519	33	as	as	IN
20165	519	34	is	be	VBZ
20165	519	35	the	the	DT
20165	519	36	point	point	NN
20165	519	37	of	of	IN
20165	519	38	distance	distance	NN
20165	519	39	on	on	IN
20165	519	40	the	the	DT
20165	519	41	horizontal	horizontal	JJ
20165	519	42	line	line	NN
20165	519	43	.	.	.
20165	520	1	It	-PRON-	PRP
20165	520	2	will	will	MD
20165	520	3	be	be	VB
20165	520	4	seen	see	VBN
20165	520	5	by	by	IN
20165	520	6	examining	examine	VBG
20165	520	7	this	this	DT
20165	520	8	figure	figure	NN
20165	520	9	that	that	IN
20165	520	10	the	the	DT
20165	520	11	diagonals	diagonal	NNS
20165	520	12	of	of	IN
20165	520	13	the	the	DT
20165	520	14	squares	square	NNS
20165	520	15	in	in	IN
20165	520	16	a	a	DT
20165	520	17	vertical	vertical	JJ
20165	520	18	position	position	NN
20165	520	19	are	be	VBP
20165	520	20	drawn	draw	VBN
20165	520	21	to	to	IN
20165	520	22	this	this	DT
20165	520	23	vertical	vertical	JJ
20165	520	24	distance	distance	NN
20165	520	25	-	-	HYPH
20165	520	26	point	point	NN
20165	520	27	,	,	,
20165	520	28	thus	thus	RB
20165	520	29	saving	save	VBG
20165	520	30	the	the	DT
20165	520	31	necessity	necessity	NN
20165	520	32	of	of	IN
20165	520	33	taking	take	VBG
20165	520	34	the	the	DT
20165	520	35	measurements	measurement	NNS
20165	520	36	first	first	RB
20165	520	37	on	on	IN
20165	520	38	the	the	DT
20165	520	39	base	base	NN
20165	520	40	line	line	NN
20165	520	41	,	,	,
20165	520	42	as	as	IN
20165	520	43	at	at	IN
20165	520	44	_	_	NNP
20165	520	45	CB	CB	NNP
20165	520	46	_	_	NNP
20165	520	47	,	,	,
20165	520	48	which	which	WDT
20165	520	49	in	in	IN
20165	520	50	the	the	DT
20165	520	51	case	case	NN
20165	520	52	of	of	IN
20165	520	53	distant	distant	JJ
20165	520	54	objects	object	NNS
20165	520	55	,	,	,
20165	520	56	such	such	JJ
20165	520	57	as	as	IN
20165	520	58	the	the	DT
20165	520	59	farthest	farth	JJS
20165	520	60	window	window	NN
20165	520	61	,	,	,
20165	520	62	would	would	MD
20165	520	63	be	be	VB
20165	520	64	very	very	RB
20165	520	65	inconvenient	inconvenient	JJ
20165	520	66	.	.	.
20165	521	1	Note	note	VB
20165	521	2	that	that	IN
20165	521	3	the	the	DT
20165	521	4	windows	window	NNS
20165	521	5	at	at	IN
20165	521	6	_	_	NNP
20165	521	7	K	K	NNP
20165	521	8	_	_	NNP
20165	521	9	are	be	VBP
20165	521	10	twice	twice	RB
20165	521	11	as	as	RB
20165	521	12	high	high	JJ
20165	521	13	as	as	IN
20165	521	14	they	-PRON-	PRP
20165	521	15	are	be	VBP
20165	521	16	wide	wide	JJ
20165	521	17	.	.	.
20165	522	1	Of	of	RB
20165	522	2	course	course	RB
20165	522	3	these	these	DT
20165	522	4	or	or	CC
20165	522	5	any	any	DT
20165	522	6	other	other	JJ
20165	522	7	objects	object	NNS
20165	522	8	could	could	MD
20165	522	9	be	be	VB
20165	522	10	made	make	VBN
20165	522	11	of	of	IN
20165	522	12	any	any	DT
20165	522	13	proportion	proportion	NN
20165	522	14	.	.	.
20165	523	1	[	[	-LRB-
20165	523	2	Illustration	illustration	NN
20165	523	3	:	:	:
20165	523	4	Fig	Fig	NNP
20165	523	5	.	.	.
20165	524	1	60	60	CD
20165	524	2	.	.	.
20165	524	3	]	]	-RRB-
20165	525	1	XIX	XIX	NNP
20165	525	2	THE	the	DT
20165	525	3	FRONT	front	JJ
20165	525	4	VIEW	view	NN
20165	525	5	OF	of	IN
20165	525	6	THE	the	DT
20165	525	7	SQUARE	SQUARE	NNP
20165	525	8	AND	and	CC
20165	525	9	OF	of	IN
20165	525	10	THE	the	DT
20165	525	11	PROPORTIONS	PROPORTIONS	NNP
20165	525	12	OF	of	IN
20165	525	13	FIGURES	FIGURES	NNP
20165	525	14	AT	AT	NNP
20165	525	15	DIFFERENT	DIFFERENT	NNP
20165	525	16	HEIGHTS	HEIGHTS	NNP
20165	525	17	According	accord	VBG
20165	525	18	to	to	IN
20165	525	19	Rule	Rule	NNP
20165	525	20	4	4	CD
20165	525	21	,	,	,
20165	525	22	all	all	DT
20165	525	23	lines	line	NNS
20165	525	24	situated	situate	VBN
20165	525	25	in	in	IN
20165	525	26	a	a	DT
20165	525	27	plane	plane	NN
20165	525	28	parallel	parallel	NN
20165	525	29	to	to	IN
20165	525	30	the	the	DT
20165	525	31	picture	picture	NN
20165	525	32	plane	plane	NN
20165	525	33	diminish	diminish	NN
20165	525	34	in	in	IN
20165	525	35	length	length	NN
20165	525	36	as	as	IN
20165	525	37	they	-PRON-	PRP
20165	525	38	become	become	VBP
20165	525	39	more	more	RBR
20165	525	40	distant	distant	JJ
20165	525	41	,	,	,
20165	525	42	but	but	CC
20165	525	43	remain	remain	VBP
20165	525	44	in	in	IN
20165	525	45	the	the	DT
20165	525	46	same	same	JJ
20165	525	47	proportions	proportion	NNS
20165	525	48	each	each	DT
20165	525	49	to	to	IN
20165	525	50	each	each	DT
20165	525	51	as	as	IN
20165	525	52	the	the	DT
20165	525	53	original	original	JJ
20165	525	54	lines	line	NNS
20165	525	55	;	;	:
20165	525	56	as	as	IN
20165	525	57	squares	square	NNS
20165	525	58	or	or	CC
20165	525	59	any	any	DT
20165	525	60	other	other	JJ
20165	525	61	figures	figure	NNS
20165	525	62	retain	retain	VBP
20165	525	63	the	the	DT
20165	525	64	same	same	JJ
20165	525	65	form	form	NN
20165	525	66	.	.	.
20165	526	1	Take	take	VB
20165	526	2	the	the	DT
20165	526	3	two	two	CD
20165	526	4	squares	square	NNS
20165	526	5	_	_	NNP
20165	526	6	ABCD	ABCD	NNP
20165	526	7	_	_	NNP
20165	526	8	,	,	,
20165	526	9	_	_	NNP
20165	526	10	abcd	abcd	NN
20165	526	11	_	_	NNP
20165	526	12	(	(	-LRB-
20165	526	13	Fig	Fig	NNP
20165	526	14	.	.	.
20165	527	1	61	61	CD
20165	527	2	)	)	-RRB-
20165	527	3	,	,	,
20165	527	4	one	one	CD
20165	527	5	inside	inside	IN
20165	527	6	the	the	DT
20165	527	7	other	other	JJ
20165	527	8	;	;	:
20165	527	9	although	although	IN
20165	527	10	moved	move	VBN
20165	527	11	back	back	RB
20165	527	12	from	from	IN
20165	527	13	square	square	JJ
20165	527	14	_	_	NNP
20165	527	15	EFGH	EFGH	NNP
20165	527	16	_	_	NNP
20165	527	17	they	-PRON-	PRP
20165	527	18	retain	retain	VBP
20165	527	19	the	the	DT
20165	527	20	same	same	JJ
20165	527	21	form	form	NN
20165	527	22	.	.	.
20165	528	1	So	so	RB
20165	528	2	in	in	IN
20165	528	3	dealing	deal	VBG
20165	528	4	with	with	IN
20165	528	5	figures	figure	NNS
20165	528	6	of	of	IN
20165	528	7	different	different	JJ
20165	528	8	heights	height	NNS
20165	528	9	,	,	,
20165	528	10	such	such	JJ
20165	528	11	as	as	IN
20165	528	12	statuary	statuary	JJ
20165	528	13	or	or	CC
20165	528	14	ornament	ornament	JJ
20165	528	15	in	in	IN
20165	528	16	a	a	DT
20165	528	17	building	building	NN
20165	528	18	,	,	,
20165	528	19	if	if	IN
20165	528	20	actually	actually	RB
20165	528	21	equal	equal	JJ
20165	528	22	in	in	IN
20165	528	23	size	size	NN
20165	528	24	,	,	,
20165	528	25	so	so	RB
20165	528	26	must	must	MD
20165	528	27	we	-PRON-	PRP
20165	528	28	represent	represent	VB
20165	528	29	them	-PRON-	PRP
20165	528	30	.	.	.
20165	529	1	[	[	-LRB-
20165	529	2	Illustration	illustration	NN
20165	529	3	:	:	:
20165	529	4	Fig	Fig	NNP
20165	529	5	.	.	.
20165	530	1	61	61	CD
20165	530	2	.	.	.
20165	530	3	]	]	-RRB-
20165	531	1	[	[	-LRB-
20165	531	2	Illustration	illustration	NN
20165	531	3	:	:	:
20165	531	4	Fig	Fig	NNP
20165	531	5	.	.	.
20165	532	1	62	62	CD
20165	532	2	.	.	.
20165	532	3	]	]	-RRB-
20165	533	1	In	in	IN
20165	533	2	this	this	DT
20165	533	3	square	square	NN
20165	533	4	_	_	NNP
20165	533	5	K	K	NNP
20165	533	6	_	_	NNP
20165	533	7	,	,	,
20165	533	8	with	with	IN
20165	533	9	the	the	DT
20165	533	10	checker	checker	NN
20165	533	11	pattern	pattern	NN
20165	533	12	,	,	,
20165	533	13	we	-PRON-	PRP
20165	533	14	should	should	MD
20165	533	15	not	not	RB
20165	533	16	think	think	VB
20165	533	17	of	of	IN
20165	533	18	making	make	VBG
20165	533	19	the	the	DT
20165	533	20	top	top	JJ
20165	533	21	squares	square	NNS
20165	533	22	smaller	small	JJR
20165	533	23	than	than	IN
20165	533	24	the	the	DT
20165	533	25	bottom	bottom	JJ
20165	533	26	ones	one	NNS
20165	533	27	;	;	:
20165	533	28	so	so	CC
20165	533	29	it	-PRON-	PRP
20165	533	30	is	be	VBZ
20165	533	31	with	with	IN
20165	533	32	figures	figure	NNS
20165	533	33	.	.	.
20165	534	1	This	this	DT
20165	534	2	subject	subject	NN
20165	534	3	requires	require	VBZ
20165	534	4	careful	careful	JJ
20165	534	5	study	study	NN
20165	534	6	,	,	,
20165	534	7	for	for	IN
20165	534	8	,	,	,
20165	534	9	as	as	IN
20165	534	10	pointed	point	VBN
20165	534	11	out	out	RP
20165	534	12	in	in	IN
20165	534	13	our	-PRON-	PRP$
20165	534	14	opening	opening	NN
20165	534	15	chapter	chapter	NN
20165	534	16	,	,	,
20165	534	17	there	there	EX
20165	534	18	are	be	VBP
20165	534	19	certain	certain	JJ
20165	534	20	conditions	condition	NNS
20165	534	21	under	under	IN
20165	534	22	which	which	WDT
20165	534	23	we	-PRON-	PRP
20165	534	24	have	have	VBP
20165	534	25	to	to	TO
20165	534	26	modify	modify	VB
20165	534	27	and	and	CC
20165	534	28	greatly	greatly	RB
20165	534	29	alter	alter	VB
20165	534	30	this	this	DT
20165	534	31	rule	rule	NN
20165	534	32	in	in	IN
20165	534	33	large	large	JJ
20165	534	34	decorative	decorative	JJ
20165	534	35	work	work	NN
20165	534	36	.	.	.
20165	535	1	[	[	-LRB-
20165	535	2	Illustration	illustration	NN
20165	535	3	:	:	:
20165	535	4	Fig	Fig	NNP
20165	535	5	.	.	.
20165	536	1	63	63	CD
20165	536	2	.	.	.
20165	536	3	]	]	-RRB-
20165	537	1	In	in	IN
20165	537	2	Fig	Fig	NNP
20165	537	3	.	.	.
20165	538	1	63	63	CD
20165	538	2	the	the	DT
20165	538	3	two	two	CD
20165	538	4	statues	statue	NNS
20165	538	5	_	_	NNP
20165	538	6	A	A	NNP
20165	538	7	_	_	NNP
20165	538	8	and	and	CC
20165	538	9	_	_	NNP
20165	538	10	B	B	NNP
20165	538	11	_	_	NNP
20165	538	12	are	be	VBP
20165	538	13	the	the	DT
20165	538	14	same	same	JJ
20165	538	15	size	size	NN
20165	538	16	.	.	.
20165	539	1	So	so	CC
20165	539	2	if	if	IN
20165	539	3	traced	trace	VBN
20165	539	4	through	through	IN
20165	539	5	a	a	DT
20165	539	6	vertical	vertical	JJ
20165	539	7	sheet	sheet	NN
20165	539	8	of	of	IN
20165	539	9	glass	glass	NN
20165	539	10	,	,	,
20165	539	11	_	_	NNP
20165	539	12	K	K	NNP
20165	539	13	_	_	NNP
20165	539	14	,	,	,
20165	539	15	as	as	IN
20165	539	16	at	at	IN
20165	539	17	_	_	NNP
20165	539	18	c	c	NNP
20165	539	19	_	_	NNP
20165	539	20	and	and	CC
20165	539	21	_	_	NNP
20165	539	22	d	d	NNP
20165	539	23	_	_	NNP
20165	539	24	,	,	,
20165	539	25	they	-PRON-	PRP
20165	539	26	would	would	MD
20165	539	27	also	also	RB
20165	539	28	be	be	VB
20165	539	29	equal	equal	JJ
20165	539	30	;	;	:
20165	539	31	but	but	CC
20165	539	32	as	as	IN
20165	539	33	the	the	DT
20165	539	34	angle	angle	NN
20165	539	35	_	_	NNP
20165	539	36	b	b	NNP
20165	539	37	_	_	NNP
20165	539	38	at	at	IN
20165	539	39	which	which	WDT
20165	539	40	the	the	DT
20165	539	41	upper	upper	JJ
20165	539	42	one	one	NN
20165	539	43	is	be	VBZ
20165	539	44	seen	see	VBN
20165	539	45	is	be	VBZ
20165	539	46	smaller	small	JJR
20165	539	47	than	than	IN
20165	539	48	angle	angle	NNP
20165	539	49	_	_	NNP
20165	539	50	a	a	DT
20165	539	51	_	_	NNP
20165	539	52	,	,	,
20165	539	53	at	at	IN
20165	539	54	which	which	WDT
20165	539	55	the	the	DT
20165	539	56	lower	low	JJR
20165	539	57	figure	figure	NN
20165	539	58	or	or	CC
20165	539	59	statue	statue	NN
20165	539	60	is	be	VBZ
20165	539	61	seen	see	VBN
20165	539	62	,	,	,
20165	539	63	it	-PRON-	PRP
20165	539	64	will	will	MD
20165	539	65	appear	appear	VB
20165	539	66	smaller	small	JJR
20165	539	67	to	to	IN
20165	539	68	the	the	DT
20165	539	69	spectator	spectator	NN
20165	539	70	(	(	-LRB-
20165	539	71	_	_	NNP
20165	539	72	S	S	NNP
20165	539	73	_	_	NNP
20165	539	74	)	)	-RRB-
20165	539	75	both	both	CC
20165	539	76	in	in	IN
20165	539	77	reality	reality	NN
20165	539	78	and	and	CC
20165	539	79	in	in	IN
20165	539	80	the	the	DT
20165	539	81	picture	picture	NN
20165	539	82	.	.	.
20165	540	1	[	[	-LRB-
20165	540	2	Illustration	illustration	NN
20165	540	3	:	:	:
20165	540	4	Fig	Fig	NNP
20165	540	5	.	.	.
20165	541	1	64	64	CD
20165	541	2	.	.	.
20165	541	3	]	]	-RRB-
20165	542	1	But	but	CC
20165	542	2	if	if	IN
20165	542	3	we	-PRON-	PRP
20165	542	4	wish	wish	VBP
20165	542	5	them	-PRON-	PRP
20165	542	6	to	to	TO
20165	542	7	appear	appear	VB
20165	542	8	the	the	DT
20165	542	9	same	same	JJ
20165	542	10	size	size	NN
20165	542	11	to	to	IN
20165	542	12	the	the	DT
20165	542	13	spectator	spectator	NN
20165	542	14	who	who	WP
20165	542	15	is	be	VBZ
20165	542	16	viewing	view	VBG
20165	542	17	them	-PRON-	PRP
20165	542	18	from	from	IN
20165	542	19	below	below	RB
20165	542	20	,	,	,
20165	542	21	we	-PRON-	PRP
20165	542	22	must	must	MD
20165	542	23	make	make	VB
20165	542	24	the	the	DT
20165	542	25	angles	angle	NNS
20165	542	26	_	_	NNP
20165	542	27	a	a	DT
20165	542	28	_	_	NNP
20165	542	29	and	and	CC
20165	542	30	_	_	NNP
20165	542	31	b	b	NNP
20165	542	32	_	_	NNP
20165	542	33	(	(	-LRB-
20165	542	34	Fig	Fig	NNP
20165	542	35	.	.	.
20165	543	1	64	64	CD
20165	543	2	)	)	-RRB-
20165	543	3	,	,	,
20165	543	4	at	at	IN
20165	543	5	which	which	WDT
20165	543	6	they	-PRON-	PRP
20165	543	7	are	be	VBP
20165	543	8	viewed	view	VBN
20165	543	9	,	,	,
20165	543	10	both	both	DT
20165	543	11	equal	equal	JJ
20165	543	12	.	.	.
20165	544	1	Then	then	RB
20165	544	2	draw	draw	VB
20165	544	3	lines	line	NNS
20165	544	4	through	through	IN
20165	544	5	equal	equal	JJ
20165	544	6	arcs	arc	NNS
20165	544	7	,	,	,
20165	544	8	as	as	IN
20165	544	9	at	at	IN
20165	544	10	_	_	NNP
20165	544	11	c	c	NNP
20165	544	12	_	_	NNP
20165	544	13	and	and	CC
20165	544	14	_	_	NNP
20165	544	15	d	d	NNP
20165	544	16	_	_	NNP
20165	544	17	,	,	,
20165	544	18	till	till	IN
20165	544	19	they	-PRON-	PRP
20165	544	20	cut	cut	VBD
20165	544	21	the	the	DT
20165	544	22	vertical	vertical	JJ
20165	544	23	_	_	NNP
20165	544	24	NO	NO	NNP
20165	544	25	_	_	NNP
20165	544	26	(	(	-LRB-
20165	544	27	representing	represent	VBG
20165	544	28	the	the	DT
20165	544	29	side	side	NN
20165	544	30	of	of	IN
20165	544	31	the	the	DT
20165	544	32	building	building	NN
20165	544	33	where	where	WRB
20165	544	34	the	the	DT
20165	544	35	figures	figure	NNS
20165	544	36	are	be	VBP
20165	544	37	to	to	TO
20165	544	38	be	be	VB
20165	544	39	placed	place	VBN
20165	544	40	)	)	-RRB-
20165	544	41	.	.	.
20165	545	1	We	-PRON-	PRP
20165	545	2	shall	shall	MD
20165	545	3	then	then	RB
20165	545	4	obtain	obtain	VB
20165	545	5	the	the	DT
20165	545	6	exact	exact	JJ
20165	545	7	size	size	NN
20165	545	8	of	of	IN
20165	545	9	the	the	DT
20165	545	10	figure	figure	NN
20165	545	11	at	at	IN
20165	545	12	that	that	DT
20165	545	13	height	height	NN
20165	545	14	,	,	,
20165	545	15	which	which	WDT
20165	545	16	will	will	MD
20165	545	17	make	make	VB
20165	545	18	it	-PRON-	PRP
20165	545	19	look	look	VB
20165	545	20	the	the	DT
20165	545	21	same	same	JJ
20165	545	22	size	size	NN
20165	545	23	as	as	IN
20165	545	24	the	the	DT
20165	545	25	lower	low	JJR
20165	545	26	one	one	CD
20165	545	27	,	,	,
20165	545	28	_	_	NNP
20165	545	29	N	N	NNP
20165	545	30	_	_	NNP
20165	545	31	.	.	.
20165	546	1	The	the	DT
20165	546	2	same	same	JJ
20165	546	3	rule	rule	NN
20165	546	4	applies	apply	VBZ
20165	546	5	to	to	IN
20165	546	6	the	the	DT
20165	546	7	picture	picture	NN
20165	546	8	_	_	NNP
20165	546	9	K	K	NNP
20165	546	10	_	_	NNP
20165	546	11	,	,	,
20165	546	12	when	when	WRB
20165	546	13	it	-PRON-	PRP
20165	546	14	is	be	VBZ
20165	546	15	of	of	IN
20165	546	16	large	large	JJ
20165	546	17	proportions	proportion	NNS
20165	546	18	.	.	.
20165	547	1	As	as	IN
20165	547	2	an	an	DT
20165	547	3	example	example	NN
20165	547	4	in	in	IN
20165	547	5	painting	painting	NN
20165	547	6	,	,	,
20165	547	7	take	take	VB
20165	547	8	Michelangelo	Michelangelo	NNP
20165	547	9	's	's	POS
20165	547	10	large	large	JJ
20165	547	11	altar	altar	NN
20165	547	12	-	-	HYPH
20165	547	13	piece	piece	NN
20165	547	14	in	in	IN
20165	547	15	the	the	DT
20165	547	16	Sistine	Sistine	NNP
20165	547	17	Chapel	Chapel	NNP
20165	547	18	,	,	,
20165	547	19	'	'	''
20165	547	20	The	the	DT
20165	547	21	Last	last	JJ
20165	547	22	Judgement	judgement	NN
20165	547	23	'	'	''
20165	547	24	;	;	:
20165	547	25	here	here	RB
20165	547	26	the	the	DT
20165	547	27	figures	figure	NNS
20165	547	28	forming	form	VBG
20165	547	29	the	the	DT
20165	547	30	upper	upper	JJ
20165	547	31	group	group	NN
20165	547	32	,	,	,
20165	547	33	with	with	IN
20165	547	34	our	-PRON-	PRP$
20165	547	35	Lord	Lord	NNP
20165	547	36	in	in	IN
20165	547	37	judgement	judgement	NN
20165	547	38	surrounded	surround	VBN
20165	547	39	by	by	IN
20165	547	40	saints	saint	NNS
20165	547	41	,	,	,
20165	547	42	are	be	VBP
20165	547	43	about	about	RB
20165	547	44	four	four	CD
20165	547	45	times	time	NNS
20165	547	46	the	the	DT
20165	547	47	size	size	NN
20165	547	48	,	,	,
20165	547	49	that	that	RB
20165	547	50	is	is	RB
20165	547	51	,	,	,
20165	547	52	about	about	IN
20165	547	53	twice	twice	PDT
20165	547	54	the	the	DT
20165	547	55	height	height	NN
20165	547	56	,	,	,
20165	547	57	of	of	IN
20165	547	58	those	those	DT
20165	547	59	at	at	IN
20165	547	60	the	the	DT
20165	547	61	lower	low	JJR
20165	547	62	part	part	NN
20165	547	63	of	of	IN
20165	547	64	the	the	DT
20165	547	65	fresco	fresco	NN
20165	547	66	.	.	.
20165	548	1	The	the	DT
20165	548	2	figures	figure	NNS
20165	548	3	on	on	IN
20165	548	4	the	the	DT
20165	548	5	ceiling	ceiling	NN
20165	548	6	of	of	IN
20165	548	7	the	the	DT
20165	548	8	same	same	JJ
20165	548	9	chapel	chapel	NN
20165	548	10	are	be	VBP
20165	548	11	studied	study	VBN
20165	548	12	not	not	RB
20165	548	13	only	only	RB
20165	548	14	according	accord	VBG
20165	548	15	to	to	IN
20165	548	16	their	-PRON-	PRP$
20165	548	17	height	height	NN
20165	548	18	from	from	IN
20165	548	19	the	the	DT
20165	548	20	pavement	pavement	NN
20165	548	21	,	,	,
20165	548	22	which	which	WDT
20165	548	23	is	be	VBZ
20165	548	24	60	60	CD
20165	548	25	ft	ft	NN
20165	548	26	.	.	NN
20165	548	27	,	,	,
20165	548	28	but	but	CC
20165	548	29	to	to	TO
20165	548	30	suit	suit	VB
20165	548	31	the	the	DT
20165	548	32	arched	arch	VBN
20165	548	33	form	form	NN
20165	548	34	of	of	IN
20165	548	35	it	-PRON-	PRP
20165	548	36	.	.	.
20165	549	1	For	for	IN
20165	549	2	instance	instance	NN
20165	549	3	,	,	,
20165	549	4	the	the	DT
20165	549	5	head	head	NN
20165	549	6	of	of	IN
20165	549	7	the	the	DT
20165	549	8	figure	figure	NN
20165	549	9	of	of	IN
20165	549	10	Jonah	Jonah	NNP
20165	549	11	at	at	IN
20165	549	12	the	the	DT
20165	549	13	end	end	NN
20165	549	14	over	over	IN
20165	549	15	the	the	DT
20165	549	16	altar	altar	NN
20165	549	17	is	be	VBZ
20165	549	18	thrown	throw	VBN
20165	549	19	back	back	RB
20165	549	20	in	in	IN
20165	549	21	the	the	DT
20165	549	22	design	design	NN
20165	549	23	,	,	,
20165	549	24	but	but	CC
20165	549	25	owing	owe	VBG
20165	549	26	to	to	IN
20165	549	27	the	the	DT
20165	549	28	curvature	curvature	NN
20165	549	29	in	in	IN
20165	549	30	the	the	DT
20165	549	31	architecture	architecture	NN
20165	549	32	is	be	VBZ
20165	549	33	actually	actually	RB
20165	549	34	more	more	RBR
20165	549	35	forward	forward	RB
20165	549	36	than	than	IN
20165	549	37	the	the	DT
20165	549	38	feet	foot	NNS
20165	549	39	.	.	.
20165	550	1	Then	then	RB
20165	550	2	again	again	RB
20165	550	3	,	,	,
20165	550	4	the	the	DT
20165	550	5	prophets	prophet	NNS
20165	550	6	and	and	CC
20165	550	7	sybils	sybil	NNS
20165	550	8	seated	seat	VBN
20165	550	9	round	round	IN
20165	550	10	the	the	DT
20165	550	11	ceiling	ceiling	NN
20165	550	12	,	,	,
20165	550	13	which	which	WDT
20165	550	14	are	be	VBP
20165	550	15	perhaps	perhaps	RB
20165	550	16	the	the	DT
20165	550	17	grandest	grand	JJS
20165	550	18	figures	figure	NNS
20165	550	19	in	in	IN
20165	550	20	the	the	DT
20165	550	21	whole	whole	JJ
20165	550	22	range	range	NN
20165	550	23	of	of	IN
20165	550	24	art	art	NN
20165	550	25	,	,	,
20165	550	26	would	would	MD
20165	550	27	be	be	VB
20165	550	28	18	18	CD
20165	550	29	ft	ft	NN
20165	550	30	.	.	RB
20165	550	31	high	high	RB
20165	550	32	if	if	IN
20165	550	33	they	-PRON-	PRP
20165	550	34	stood	stand	VBD
20165	550	35	up	up	RP
20165	550	36	;	;	,
20165	550	37	these	these	DT
20165	550	38	,	,	,
20165	550	39	too	too	RB
20165	550	40	,	,	,
20165	550	41	are	be	VBP
20165	550	42	not	not	RB
20165	550	43	on	on	IN
20165	550	44	a	a	DT
20165	550	45	flat	flat	JJ
20165	550	46	surface	surface	NN
20165	550	47	,	,	,
20165	550	48	so	so	IN
20165	550	49	that	that	IN
20165	550	50	it	-PRON-	PRP
20165	550	51	required	require	VBD
20165	550	52	great	great	JJ
20165	550	53	knowledge	knowledge	NN
20165	550	54	to	to	TO
20165	550	55	give	give	VB
20165	550	56	them	-PRON-	PRP
20165	550	57	their	-PRON-	PRP$
20165	550	58	right	right	JJ
20165	550	59	effect	effect	NN
20165	550	60	.	.	.
20165	551	1	[	[	-LRB-
20165	551	2	Illustration	illustration	NN
20165	551	3	:	:	:
20165	551	4	Fig	Fig	NNP
20165	551	5	.	.	.
20165	552	1	65	65	CD
20165	552	2	.	.	.
20165	552	3	]	]	-RRB-
20165	553	1	Of	of	RB
20165	553	2	course	course	RB
20165	553	3	,	,	,
20165	553	4	much	much	RB
20165	553	5	depends	depend	VBZ
20165	553	6	upon	upon	IN
20165	553	7	the	the	DT
20165	553	8	distance	distance	NN
20165	553	9	we	-PRON-	PRP
20165	553	10	view	view	VBP
20165	553	11	these	these	DT
20165	553	12	statues	statue	NNS
20165	553	13	or	or	CC
20165	553	14	paintings	painting	NNS
20165	553	15	from	from	IN
20165	553	16	.	.	.
20165	554	1	In	in	IN
20165	554	2	interiors	interior	NNS
20165	554	3	,	,	,
20165	554	4	such	such	JJ
20165	554	5	as	as	IN
20165	554	6	churches	church	NNS
20165	554	7	,	,	,
20165	554	8	halls	hall	NNS
20165	554	9	,	,	,
20165	554	10	galleries	gallery	NNS
20165	554	11	,	,	,
20165	554	12	&	&	CC
20165	554	13	c.	c.	NNP
20165	554	14	,	,	,
20165	554	15	we	-PRON-	PRP
20165	554	16	can	can	MD
20165	554	17	make	make	VB
20165	554	18	a	a	DT
20165	554	19	fair	fair	JJ
20165	554	20	calculation	calculation	NN
20165	554	21	,	,	,
20165	554	22	such	such	JJ
20165	554	23	as	as	IN
20165	554	24	the	the	DT
20165	554	25	length	length	NN
20165	554	26	of	of	IN
20165	554	27	the	the	DT
20165	554	28	nave	nave	NN
20165	554	29	,	,	,
20165	554	30	if	if	IN
20165	554	31	the	the	DT
20165	554	32	picture	picture	NN
20165	554	33	is	be	VBZ
20165	554	34	an	an	DT
20165	554	35	altar	altar	NN
20165	554	36	-	-	HYPH
20165	554	37	piece	piece	NN
20165	554	38	--	--	:
20165	554	39	or	or	CC
20165	554	40	say	say	VB
20165	554	41	,	,	,
20165	554	42	half	half	PDT
20165	554	43	the	the	DT
20165	554	44	length	length	NN
20165	554	45	;	;	:
20165	554	46	so	so	RB
20165	554	47	also	also	RB
20165	554	48	with	with	IN
20165	554	49	statuary	statuary	NN
20165	554	50	in	in	IN
20165	554	51	niches	niche	NNS
20165	554	52	,	,	,
20165	554	53	friezes	frieze	NNS
20165	554	54	,	,	,
20165	554	55	and	and	CC
20165	554	56	other	other	JJ
20165	554	57	architectural	architectural	JJ
20165	554	58	ornaments	ornament	NNS
20165	554	59	.	.	.
20165	555	1	The	the	DT
20165	555	2	nearer	nearer	NN
20165	555	3	we	-PRON-	PRP
20165	555	4	are	be	VBP
20165	555	5	to	to	IN
20165	555	6	them	-PRON-	PRP
20165	555	7	,	,	,
20165	555	8	and	and	CC
20165	555	9	the	the	DT
20165	555	10	more	more	RBR
20165	555	11	we	-PRON-	PRP
20165	555	12	have	have	VBP
20165	555	13	to	to	TO
20165	555	14	look	look	VB
20165	555	15	up	up	RP
20165	555	16	,	,	,
20165	555	17	the	the	DT
20165	555	18	larger	large	JJR
20165	555	19	will	will	MD
20165	555	20	the	the	DT
20165	555	21	upper	upper	JJ
20165	555	22	figures	figure	NNS
20165	555	23	have	have	VBP
20165	555	24	to	to	TO
20165	555	25	be	be	VB
20165	555	26	;	;	:
20165	555	27	but	but	CC
20165	555	28	if	if	IN
20165	555	29	these	these	DT
20165	555	30	are	be	VBP
20165	555	31	on	on	IN
20165	555	32	the	the	DT
20165	555	33	outside	outside	NN
20165	555	34	of	of	IN
20165	555	35	a	a	DT
20165	555	36	building	building	NN
20165	555	37	that	that	WDT
20165	555	38	can	can	MD
20165	555	39	be	be	VB
20165	555	40	looked	look	VBN
20165	555	41	at	at	IN
20165	555	42	from	from	IN
20165	555	43	a	a	DT
20165	555	44	long	long	JJ
20165	555	45	distance	distance	NN
20165	555	46	,	,	,
20165	555	47	then	then	RB
20165	555	48	it	-PRON-	PRP
20165	555	49	is	be	VBZ
20165	555	50	better	well	JJR
20165	555	51	not	not	RB
20165	555	52	to	to	TO
20165	555	53	have	have	VB
20165	555	54	too	too	RB
20165	555	55	great	great	JJ
20165	555	56	a	a	DT
20165	555	57	difference	difference	NN
20165	555	58	.	.	.
20165	556	1	[	[	-LRB-
20165	556	2	Illustration	illustration	NN
20165	556	3	:	:	:
20165	556	4	Fig	Fig	NNP
20165	556	5	.	.	.
20165	557	1	66	66	CD
20165	557	2	.	.	.
20165	558	1	1909	1909	CD
20165	558	2	.	.	.
20165	558	3	]	]	-RRB-
20165	559	1	These	these	DT
20165	559	2	remarks	remark	NNS
20165	559	3	apply	apply	VBP
20165	559	4	also	also	RB
20165	559	5	to	to	IN
20165	559	6	architecture	architecture	VB
20165	559	7	in	in	IN
20165	559	8	a	a	DT
20165	559	9	great	great	JJ
20165	559	10	measure	measure	NN
20165	559	11	.	.	.
20165	560	1	Buildings	building	NNS
20165	560	2	that	that	WDT
20165	560	3	can	can	MD
20165	560	4	only	only	RB
20165	560	5	be	be	VB
20165	560	6	seen	see	VBN
20165	560	7	from	from	IN
20165	560	8	the	the	DT
20165	560	9	street	street	NN
20165	560	10	below	below	RB
20165	560	11	,	,	,
20165	560	12	as	as	IN
20165	560	13	pictures	picture	NNS
20165	560	14	in	in	IN
20165	560	15	a	a	DT
20165	560	16	narrow	narrow	JJ
20165	560	17	gallery	gallery	NN
20165	560	18	,	,	,
20165	560	19	require	require	VB
20165	560	20	a	a	DT
20165	560	21	different	different	JJ
20165	560	22	treatment	treatment	NN
20165	560	23	from	from	IN
20165	560	24	those	those	DT
20165	560	25	out	out	RP
20165	560	26	in	in	IN
20165	560	27	the	the	DT
20165	560	28	open	open	NN
20165	560	29	,	,	,
20165	560	30	that	that	WDT
20165	560	31	are	be	VBP
20165	560	32	to	to	TO
20165	560	33	be	be	VB
20165	560	34	looked	look	VBN
20165	560	35	at	at	IN
20165	560	36	from	from	IN
20165	560	37	a	a	DT
20165	560	38	distance	distance	NN
20165	560	39	.	.	.
20165	561	1	In	in	IN
20165	561	2	the	the	DT
20165	561	3	former	former	JJ
20165	561	4	case	case	NN
20165	561	5	the	the	DT
20165	561	6	same	same	JJ
20165	561	7	treatment	treatment	NN
20165	561	8	as	as	IN
20165	561	9	the	the	DT
20165	561	10	Campanile	Campanile	NNP
20165	561	11	at	at	IN
20165	561	12	Florence	Florence	NNP
20165	561	13	is	be	VBZ
20165	561	14	in	in	IN
20165	561	15	some	some	DT
20165	561	16	cases	case	NNS
20165	561	17	desirable	desirable	JJ
20165	561	18	,	,	,
20165	561	19	but	but	CC
20165	561	20	all	all	DT
20165	561	21	must	must	MD
20165	561	22	depend	depend	VB
20165	561	23	upon	upon	IN
20165	561	24	the	the	DT
20165	561	25	taste	taste	NN
20165	561	26	and	and	CC
20165	561	27	judgement	judgement	NN
20165	561	28	of	of	IN
20165	561	29	the	the	DT
20165	561	30	architect	architect	NN
20165	561	31	in	in	IN
20165	561	32	such	such	JJ
20165	561	33	matters	matter	NNS
20165	561	34	.	.	.
20165	562	1	All	all	DT
20165	562	2	I	-PRON-	PRP
20165	562	3	venture	venture	VBP
20165	562	4	to	to	TO
20165	562	5	do	do	VB
20165	562	6	here	here	RB
20165	562	7	is	be	VBZ
20165	562	8	to	to	TO
20165	562	9	call	call	VB
20165	562	10	attention	attention	NN
20165	562	11	to	to	IN
20165	562	12	the	the	DT
20165	562	13	subject	subject	NN
20165	562	14	,	,	,
20165	562	15	which	which	WDT
20165	562	16	seems	seem	VBZ
20165	562	17	as	as	IN
20165	562	18	a	a	DT
20165	562	19	rule	rule	NN
20165	562	20	to	to	TO
20165	562	21	be	be	VB
20165	562	22	ignored	ignore	VBN
20165	562	23	,	,	,
20165	562	24	or	or	CC
20165	562	25	not	not	RB
20165	562	26	to	to	TO
20165	562	27	be	be	VB
20165	562	28	considered	consider	VBN
20165	562	29	of	of	IN
20165	562	30	importance	importance	NN
20165	562	31	.	.	.
20165	563	1	Hence	hence	RB
20165	563	2	the	the	DT
20165	563	3	many	many	JJ
20165	563	4	mistakes	mistake	NNS
20165	563	5	in	in	IN
20165	563	6	our	-PRON-	PRP$
20165	563	7	buildings	building	NNS
20165	563	8	,	,	,
20165	563	9	and	and	CC
20165	563	10	the	the	DT
20165	563	11	unsatisfactory	unsatisfactory	JJ
20165	563	12	and	and	CC
20165	563	13	mean	mean	JJ
20165	563	14	look	look	VB
20165	563	15	of	of	IN
20165	563	16	some	some	DT
20165	563	17	of	of	IN
20165	563	18	our	-PRON-	PRP$
20165	563	19	public	public	JJ
20165	563	20	monuments	monument	NNS
20165	563	21	.	.	.
20165	564	1	XX	xx	IN
20165	564	2	OF	of	IN
20165	564	3	PICTURES	pictures	NN
20165	564	4	THAT	that	WDT
20165	564	5	ARE	are	VBP
20165	564	6	PAINTED	paint	VBN
20165	564	7	ACCORDING	accord	VBG
20165	564	8	TO	to	IN
20165	564	9	THE	the	DT
20165	564	10	POSITION	position	NN
20165	564	11	THEY	they	PRP
20165	564	12	ARE	are	VBP
20165	564	13	TO	to	IN
20165	564	14	OCCUPY	OCCUPY	NNP
20165	564	15	In	in	IN
20165	564	16	this	this	DT
20165	564	17	double	double	JJ
20165	564	18	-	-	HYPH
20165	564	19	page	page	NN
20165	564	20	illustration	illustration	NN
20165	564	21	of	of	IN
20165	564	22	the	the	DT
20165	564	23	wall	wall	NN
20165	564	24	of	of	IN
20165	564	25	a	a	DT
20165	564	26	picture	picture	NN
20165	564	27	-	-	HYPH
20165	564	28	gallery	gallery	NN
20165	564	29	,	,	,
20165	564	30	I	-PRON-	PRP
20165	564	31	have	have	VBP
20165	564	32	,	,	,
20165	564	33	as	as	IN
20165	564	34	it	-PRON-	PRP
20165	564	35	were	be	VBD
20165	564	36	,	,	,
20165	564	37	hung	hang	VBD
20165	564	38	the	the	DT
20165	564	39	pictures	picture	NNS
20165	564	40	in	in	IN
20165	564	41	accordance	accordance	NN
20165	564	42	with	with	IN
20165	564	43	the	the	DT
20165	564	44	style	style	NN
20165	564	45	in	in	IN
20165	564	46	which	which	WDT
20165	564	47	they	-PRON-	PRP
20165	564	48	are	be	VBP
20165	564	49	painted	paint	VBN
20165	564	50	and	and	CC
20165	564	51	the	the	DT
20165	564	52	perspective	perspective	NN
20165	564	53	adopted	adopt	VBN
20165	564	54	by	by	IN
20165	564	55	their	-PRON-	PRP$
20165	564	56	painters	painter	NNS
20165	564	57	.	.	.
20165	565	1	It	-PRON-	PRP
20165	565	2	will	will	MD
20165	565	3	be	be	VB
20165	565	4	seen	see	VBN
20165	565	5	that	that	IN
20165	565	6	those	those	DT
20165	565	7	placed	place	VBN
20165	565	8	on	on	IN
20165	565	9	the	the	DT
20165	565	10	line	line	NN
20165	565	11	level	level	NN
20165	565	12	with	with	IN
20165	565	13	the	the	DT
20165	565	14	eye	eye	NN
20165	565	15	have	have	VBP
20165	565	16	their	-PRON-	PRP$
20165	565	17	horizon	horizon	NN
20165	565	18	lines	line	NNS
20165	565	19	fairly	fairly	RB
20165	565	20	high	high	RB
20165	565	21	up	up	RB
20165	565	22	,	,	,
20165	565	23	and	and	CC
20165	565	24	are	be	VBP
20165	565	25	not	not	RB
20165	565	26	suited	suited	JJ
20165	565	27	to	to	TO
20165	565	28	be	be	VB
20165	565	29	placed	place	VBN
20165	565	30	any	any	DT
20165	565	31	higher	high	JJR
20165	565	32	.	.	.
20165	566	1	The	the	DT
20165	566	2	Giorgione	Giorgione	NNP
20165	566	3	in	in	IN
20165	566	4	the	the	DT
20165	566	5	centre	centre	NN
20165	566	6	,	,	,
20165	566	7	the	the	DT
20165	566	8	Monna	Monna	NNP
20165	566	9	Lisa	Lisa	NNP
20165	566	10	to	to	IN
20165	566	11	the	the	DT
20165	566	12	right	right	NN
20165	566	13	,	,	,
20165	566	14	and	and	CC
20165	566	15	the	the	DT
20165	566	16	Velasquez	Velasquez	NNP
20165	566	17	and	and	CC
20165	566	18	Watteau	Watteau	NNP
20165	566	19	to	to	IN
20165	566	20	the	the	DT
20165	566	21	left	left	NN
20165	566	22	,	,	,
20165	566	23	are	be	VBP
20165	566	24	all	all	DT
20165	566	25	pictures	picture	NNS
20165	566	26	that	that	WDT
20165	566	27	fit	fit	VBP
20165	566	28	that	that	DT
20165	566	29	position	position	NN
20165	566	30	;	;	:
20165	566	31	whereas	whereas	IN
20165	566	32	the	the	DT
20165	566	33	grander	grander	NN
20165	566	34	compositions	composition	NNS
20165	566	35	above	above	IN
20165	566	36	them	-PRON-	PRP
20165	566	37	are	be	VBP
20165	566	38	so	so	RB
20165	566	39	designed	design	VBN
20165	566	40	,	,	,
20165	566	41	and	and	CC
20165	566	42	are	be	VBP
20165	566	43	so	so	RB
20165	566	44	large	large	JJ
20165	566	45	in	in	IN
20165	566	46	conception	conception	NN
20165	566	47	,	,	,
20165	566	48	that	that	IN
20165	566	49	we	-PRON-	PRP
20165	566	50	gain	gain	VBP
20165	566	51	in	in	IN
20165	566	52	looking	look	VBG
20165	566	53	up	up	RP
20165	566	54	to	to	IN
20165	566	55	them	-PRON-	PRP
20165	566	56	.	.	.
20165	567	1	Note	note	VB
20165	567	2	how	how	WRB
20165	567	3	grandly	grandly	RB
20165	567	4	the	the	DT
20165	567	5	young	young	JJ
20165	567	6	prince	prince	NN
20165	567	7	on	on	IN
20165	567	8	his	-PRON-	PRP$
20165	567	9	pony	pony	NN
20165	567	10	,	,	,
20165	567	11	by	by	IN
20165	567	12	Velasquez	Velasquez	NNP
20165	567	13	,	,	,
20165	567	14	tells	tell	VBZ
20165	567	15	out	out	RP
20165	567	16	against	against	IN
20165	567	17	the	the	DT
20165	567	18	sky	sky	NN
20165	567	19	,	,	,
20165	567	20	with	with	IN
20165	567	21	its	-PRON-	PRP$
20165	567	22	low	low	JJ
20165	567	23	horizon	horizon	NN
20165	567	24	and	and	CC
20165	567	25	strong	strong	JJ
20165	567	26	contrast	contrast	NN
20165	567	27	of	of	IN
20165	567	28	light	light	JJ
20165	567	29	and	and	CC
20165	567	30	dark	dark	JJ
20165	567	31	;	;	:
20165	567	32	nor	nor	CC
20165	567	33	does	do	VBZ
20165	567	34	it	-PRON-	PRP
20165	567	35	lose	lose	VB
20165	567	36	a	a	DT
20165	567	37	bit	bit	NN
20165	567	38	by	by	IN
20165	567	39	being	be	VBG
20165	567	40	placed	place	VBN
20165	567	41	where	where	WRB
20165	567	42	it	-PRON-	PRP
20165	567	43	is	be	VBZ
20165	567	44	,	,	,
20165	567	45	over	over	IN
20165	567	46	the	the	DT
20165	567	47	smaller	small	JJR
20165	567	48	pictures	picture	NNS
20165	567	49	.	.	.
20165	568	1	The	the	DT
20165	568	2	Rembrandt	Rembrandt	NNP
20165	568	3	,	,	,
20165	568	4	on	on	IN
20165	568	5	the	the	DT
20165	568	6	opposite	opposite	JJ
20165	568	7	side	side	NN
20165	568	8	,	,	,
20165	568	9	with	with	IN
20165	568	10	its	-PRON-	PRP$
20165	568	11	burgomasters	burgomaster	NNS
20165	568	12	in	in	IN
20165	568	13	black	black	JJ
20165	568	14	hats	hat	NNS
20165	568	15	and	and	CC
20165	568	16	coats	coat	NNS
20165	568	17	and	and	CC
20165	568	18	white	white	JJ
20165	568	19	collars	collar	NNS
20165	568	20	,	,	,
20165	568	21	is	be	VBZ
20165	568	22	evidently	evidently	RB
20165	568	23	intended	intend	VBN
20165	568	24	and	and	CC
20165	568	25	painted	paint	VBN
20165	568	26	for	for	IN
20165	568	27	a	a	DT
20165	568	28	raised	raise	VBN
20165	568	29	position	position	NN
20165	568	30	,	,	,
20165	568	31	and	and	CC
20165	568	32	to	to	TO
20165	568	33	be	be	VB
20165	568	34	looked	look	VBN
20165	568	35	up	up	RP
20165	568	36	to	to	IN
20165	568	37	,	,	,
20165	568	38	which	which	WDT
20165	568	39	is	be	VBZ
20165	568	40	evident	evident	JJ
20165	568	41	from	from	IN
20165	568	42	the	the	DT
20165	568	43	perspective	perspective	NN
20165	568	44	of	of	IN
20165	568	45	the	the	DT
20165	568	46	table	table	NN
20165	568	47	.	.	.
20165	569	1	The	the	DT
20165	569	2	grand	grand	JJ
20165	569	3	Titian	Titian	NNP
20165	569	4	in	in	IN
20165	569	5	the	the	DT
20165	569	6	centre	centre	NN
20165	569	7	,	,	,
20165	569	8	an	an	DT
20165	569	9	altar	altar	NN
20165	569	10	-	-	HYPH
20165	569	11	piece	piece	NN
20165	569	12	in	in	IN
20165	569	13	one	one	CD
20165	569	14	of	of	IN
20165	569	15	the	the	DT
20165	569	16	churches	church	NNS
20165	569	17	in	in	IN
20165	569	18	Venice	Venice	NNP
20165	569	19	(	(	-LRB-
20165	569	20	here	here	RB
20165	569	21	reversed	reversed	JJ
20165	569	22	)	)	-RRB-
20165	569	23	,	,	,
20165	569	24	is	be	VBZ
20165	569	25	also	also	RB
20165	569	26	painted	paint	VBN
20165	569	27	to	to	TO
20165	569	28	suit	suit	VB
20165	569	29	its	-PRON-	PRP$
20165	569	30	elevated	elevated	JJ
20165	569	31	position	position	NN
20165	569	32	,	,	,
20165	569	33	with	with	IN
20165	569	34	low	low	JJ
20165	569	35	horizon	horizon	NN
20165	569	36	and	and	CC
20165	569	37	figures	figure	NNS
20165	569	38	telling	tell	VBG
20165	569	39	boldly	boldly	RB
20165	569	40	against	against	IN
20165	569	41	the	the	DT
20165	569	42	sky	sky	NN
20165	569	43	.	.	.
20165	570	1	Those	those	DT
20165	570	2	placed	place	VBN
20165	570	3	low	low	NN
20165	570	4	down	down	RB
20165	570	5	are	be	VBP
20165	570	6	modern	modern	JJ
20165	570	7	French	french	JJ
20165	570	8	pictures	picture	NNS
20165	570	9	,	,	,
20165	570	10	with	with	IN
20165	570	11	the	the	DT
20165	570	12	horizon	horizon	NN
20165	570	13	high	high	RB
20165	570	14	up	up	RB
20165	570	15	and	and	CC
20165	570	16	almost	almost	RB
20165	570	17	above	above	IN
20165	570	18	their	-PRON-	PRP$
20165	570	19	frames	frame	NNS
20165	570	20	,	,	,
20165	570	21	but	but	CC
20165	570	22	placed	place	VBN
20165	570	23	on	on	IN
20165	570	24	the	the	DT
20165	570	25	ground	ground	NN
20165	570	26	they	-PRON-	PRP
20165	570	27	fit	fit	VBP
20165	570	28	into	into	IN
20165	570	29	the	the	DT
20165	570	30	general	general	JJ
20165	570	31	harmony	harmony	NN
20165	570	32	of	of	IN
20165	570	33	the	the	DT
20165	570	34	arrangement	arrangement	NN
20165	570	35	.	.	.
20165	571	1	It	-PRON-	PRP
20165	571	2	seems	seem	VBZ
20165	571	3	to	to	IN
20165	571	4	me	-PRON-	PRP
20165	571	5	it	-PRON-	PRP
20165	571	6	is	be	VBZ
20165	571	7	well	well	JJ
20165	571	8	,	,	,
20165	571	9	both	both	DT
20165	571	10	for	for	IN
20165	571	11	those	those	DT
20165	571	12	who	who	WP
20165	571	13	paint	paint	VBP
20165	571	14	and	and	CC
20165	571	15	for	for	IN
20165	571	16	those	those	DT
20165	571	17	who	who	WP
20165	571	18	hang	hang	VBP
20165	571	19	pictures	picture	NNS
20165	571	20	,	,	,
20165	571	21	that	that	IN
20165	571	22	this	this	DT
20165	571	23	subject	subject	NN
20165	571	24	should	should	MD
20165	571	25	be	be	VB
20165	571	26	taken	take	VBN
20165	571	27	into	into	IN
20165	571	28	consideration	consideration	NN
20165	571	29	.	.	.
20165	572	1	For	for	IN
20165	572	2	it	-PRON-	PRP
20165	572	3	must	must	MD
20165	572	4	be	be	VB
20165	572	5	seen	see	VBN
20165	572	6	by	by	IN
20165	572	7	this	this	DT
20165	572	8	illustration	illustration	NN
20165	572	9	that	that	IN
20165	572	10	a	a	DT
20165	572	11	bigger	big	JJR
20165	572	12	style	style	NN
20165	572	13	is	be	VBZ
20165	572	14	adopted	adopt	VBN
20165	572	15	by	by	IN
20165	572	16	the	the	DT
20165	572	17	artists	artist	NNS
20165	572	18	who	who	WP
20165	572	19	paint	paint	VBP
20165	572	20	for	for	IN
20165	572	21	high	high	JJ
20165	572	22	places	place	NNS
20165	572	23	in	in	IN
20165	572	24	palaces	palace	NNS
20165	572	25	or	or	CC
20165	572	26	churches	church	NNS
20165	572	27	than	than	IN
20165	572	28	by	by	IN
20165	572	29	those	those	DT
20165	572	30	who	who	WP
20165	572	31	produce	produce	VBP
20165	572	32	smaller	small	JJR
20165	572	33	easel	easel	NNP
20165	572	34	-	-	HYPH
20165	572	35	pictures	picture	NNS
20165	572	36	intended	intend	VBD
20165	572	37	to	to	TO
20165	572	38	be	be	VB
20165	572	39	seen	see	VBN
20165	572	40	close	close	RB
20165	572	41	.	.	.
20165	573	1	Unfortunately	unfortunately	RB
20165	573	2	,	,	,
20165	573	3	at	at	IN
20165	573	4	our	-PRON-	PRP$
20165	573	5	picture	picture	NN
20165	573	6	exhibitions	exhibition	NNS
20165	573	7	,	,	,
20165	573	8	we	-PRON-	PRP
20165	573	9	see	see	VBP
20165	573	10	too	too	RB
20165	573	11	often	often	RB
20165	573	12	that	that	IN
20165	573	13	nearly	nearly	RB
20165	573	14	all	all	PDT
20165	573	15	the	the	DT
20165	573	16	works	work	NNS
20165	573	17	,	,	,
20165	573	18	whether	whether	IN
20165	573	19	on	on	IN
20165	573	20	large	large	JJ
20165	573	21	or	or	CC
20165	573	22	small	small	JJ
20165	573	23	canvases	canvas	NNS
20165	573	24	,	,	,
20165	573	25	are	be	VBP
20165	573	26	painted	paint	VBN
20165	573	27	for	for	IN
20165	573	28	the	the	DT
20165	573	29	line	line	NN
20165	573	30	,	,	,
20165	573	31	and	and	CC
20165	573	32	that	that	IN
20165	573	33	those	those	DT
20165	573	34	which	which	WDT
20165	573	35	happen	happen	VBP
20165	573	36	to	to	TO
20165	573	37	get	get	VB
20165	573	38	high	high	RB
20165	573	39	up	up	RB
20165	573	40	look	look	VB
20165	573	41	as	as	IN
20165	573	42	if	if	IN
20165	573	43	they	-PRON-	PRP
20165	573	44	were	be	VBD
20165	573	45	toppling	topple	VBG
20165	573	46	over	over	RP
20165	573	47	,	,	,
20165	573	48	because	because	IN
20165	573	49	they	-PRON-	PRP
20165	573	50	have	have	VBP
20165	573	51	such	such	PDT
20165	573	52	a	a	DT
20165	573	53	high	high	JJ
20165	573	54	horizontal	horizontal	JJ
20165	573	55	line	line	NN
20165	573	56	;	;	,
20165	573	57	and	and	CC
20165	573	58	instead	instead	RB
20165	573	59	of	of	IN
20165	573	60	the	the	DT
20165	573	61	figures	figure	NNS
20165	573	62	telling	tell	VBG
20165	573	63	against	against	IN
20165	573	64	the	the	DT
20165	573	65	sky	sky	NN
20165	573	66	,	,	,
20165	573	67	as	as	IN
20165	573	68	in	in	IN
20165	573	69	this	this	DT
20165	573	70	picture	picture	NN
20165	573	71	of	of	IN
20165	573	72	the	the	DT
20165	573	73	'	'	``
20165	573	74	Infant	Infant	NNP
20165	573	75	'	'	''
20165	573	76	by	by	IN
20165	573	77	Velasquez	Velasquez	NNP
20165	573	78	,	,	,
20165	573	79	the	the	DT
20165	573	80	Reynolds	Reynolds	NNP
20165	573	81	,	,	,
20165	573	82	and	and	CC
20165	573	83	the	the	DT
20165	573	84	fat	fat	JJ
20165	573	85	man	man	NN
20165	573	86	treading	tread	VBG
20165	573	87	on	on	IN
20165	573	88	a	a	DT
20165	573	89	flag	flag	NN
20165	573	90	,	,	,
20165	573	91	we	-PRON-	PRP
20165	573	92	have	have	VBP
20165	573	93	fields	field	NNS
20165	573	94	or	or	CC
20165	573	95	sea	sea	NN
20165	573	96	or	or	CC
20165	573	97	distant	distant	JJ
20165	573	98	landscape	landscape	NN
20165	573	99	almost	almost	RB
20165	573	100	to	to	IN
20165	573	101	the	the	DT
20165	573	102	top	top	NN
20165	573	103	of	of	IN
20165	573	104	the	the	DT
20165	573	105	frame	frame	NN
20165	573	106	,	,	,
20165	573	107	and	and	CC
20165	573	108	all	all	DT
20165	573	109	,	,	,
20165	573	110	so	so	RB
20165	573	111	methinks	methinks	NNP
20165	573	112	,	,	,
20165	573	113	because	because	IN
20165	573	114	the	the	DT
20165	573	115	perspective	perspective	NN
20165	573	116	is	be	VBZ
20165	573	117	not	not	RB
20165	573	118	sufficiently	sufficiently	RB
20165	573	119	considered	consider	VBN
20165	573	120	.	.	.
20165	574	1	_	_	NNP
20165	574	2	Note._--Whilst	Note._--Whilst	NNP
20165	574	3	on	on	IN
20165	574	4	this	this	DT
20165	574	5	subject	subject	NN
20165	574	6	,	,	,
20165	574	7	I	-PRON-	PRP
20165	574	8	may	may	MD
20165	574	9	note	note	VB
20165	574	10	that	that	IN
20165	574	11	the	the	DT
20165	574	12	painter	painter	NN
20165	574	13	in	in	IN
20165	574	14	his	-PRON-	PRP$
20165	574	15	large	large	JJ
20165	574	16	decorative	decorative	JJ
20165	574	17	work	work	NN
20165	574	18	often	often	RB
20165	574	19	had	have	VBD
20165	574	20	difficulties	difficulty	NNS
20165	574	21	to	to	TO
20165	574	22	contend	contend	VB
20165	574	23	with	with	IN
20165	574	24	,	,	,
20165	574	25	which	which	WDT
20165	574	26	arose	arise	VBD
20165	574	27	from	from	IN
20165	574	28	the	the	DT
20165	574	29	form	form	NN
20165	574	30	of	of	IN
20165	574	31	the	the	DT
20165	574	32	building	building	NN
20165	574	33	or	or	CC
20165	574	34	the	the	DT
20165	574	35	shape	shape	NN
20165	574	36	of	of	IN
20165	574	37	the	the	DT
20165	574	38	wall	wall	NN
20165	574	39	on	on	IN
20165	574	40	which	which	WDT
20165	574	41	he	-PRON-	PRP
20165	574	42	had	have	VBD
20165	574	43	to	to	TO
20165	574	44	place	place	VB
20165	574	45	his	-PRON-	PRP$
20165	574	46	frescoes	fresco	NNS
20165	574	47	.	.	.
20165	575	1	Painting	paint	VBG
20165	575	2	on	on	IN
20165	575	3	the	the	DT
20165	575	4	ceiling	ceiling	NN
20165	575	5	was	be	VBD
20165	575	6	no	no	DT
20165	575	7	easy	easy	JJ
20165	575	8	task	task	NN
20165	575	9	,	,	,
20165	575	10	and	and	CC
20165	575	11	Michelangelo	Michelangelo	NNP
20165	575	12	,	,	,
20165	575	13	in	in	IN
20165	575	14	a	a	DT
20165	575	15	humorous	humorous	JJ
20165	575	16	sonnet	sonnet	NN
20165	575	17	addressed	address	VBN
20165	575	18	to	to	IN
20165	575	19	Giovanni	Giovanni	NNP
20165	575	20	da	da	NNP
20165	575	21	Pistoya	Pistoya	NNP
20165	575	22	,	,	,
20165	575	23	gives	give	VBZ
20165	575	24	a	a	DT
20165	575	25	burlesque	burlesque	JJ
20165	575	26	portrait	portrait	NN
20165	575	27	of	of	IN
20165	575	28	himself	-PRON-	PRP
20165	575	29	while	while	IN
20165	575	30	he	-PRON-	PRP
20165	575	31	was	be	VBD
20165	575	32	painting	paint	VBG
20165	575	33	the	the	DT
20165	575	34	Sistine	Sistine	NNP
20165	575	35	Chapel:--	chapel:--	NN
20165	575	36	_	_	NNP
20165	575	37	"	"	``
20165	575	38	I'ho	I'ho	NNP
20165	575	39	già	già	NNP
20165	575	40	fatto	fatto	NNP
20165	575	41	un	un	NNP
20165	575	42	gozzo	gozzo	NNP
20165	575	43	in	in	IN
20165	575	44	questo	questo	NNP
20165	575	45	stento	stento	VBZ
20165	575	46	.	.	.
20165	576	1	"	"	``
20165	576	2	_	_	NNP
20165	576	3	Now	now	RB
20165	576	4	have	have	VBP
20165	576	5	I	-PRON-	PRP
20165	576	6	such	such	PDT
20165	576	7	a	a	DT
20165	576	8	goitre	goitre	NN
20165	576	9	'	'	``
20165	576	10	neath	neath	JJ
20165	576	11	my	-PRON-	PRP$
20165	576	12	chin	chin	NN
20165	576	13	That	that	IN
20165	576	14	I	-PRON-	PRP
20165	576	15	am	be	VBP
20165	576	16	like	like	JJ
20165	576	17	to	to	IN
20165	576	18	some	some	DT
20165	576	19	Lombardic	lombardic	JJ
20165	576	20	cat	cat	NN
20165	576	21	,	,	,
20165	576	22	My	-PRON-	PRP$
20165	576	23	beard	beard	NN
20165	576	24	is	be	VBZ
20165	576	25	in	in	IN
20165	576	26	the	the	DT
20165	576	27	air	air	NN
20165	576	28	,	,	,
20165	576	29	my	-PRON-	PRP$
20165	576	30	head	head	NN
20165	576	31	i	i	PRP
20165	576	32	'	'	VBP
20165	576	33	my	-PRON-	PRP$
20165	576	34	back	back	NN
20165	576	35	,	,	,
20165	576	36	My	-PRON-	PRP$
20165	576	37	chest	chest	NN
20165	576	38	like	like	IN
20165	576	39	any	any	DT
20165	576	40	harpy	harpy	NNP
20165	576	41	's	's	POS
20165	576	42	,	,	,
20165	576	43	and	and	CC
20165	576	44	my	-PRON-	PRP$
20165	576	45	face	face	NN
20165	576	46	Patched	Patched	NNP
20165	576	47	like	like	IN
20165	576	48	a	a	DT
20165	576	49	carpet	carpet	NN
20165	576	50	by	by	IN
20165	576	51	my	-PRON-	PRP$
20165	576	52	dripping	dripping	JJ
20165	576	53	brush	brush	NN
20165	576	54	.	.	.
20165	577	1	Nor	nor	CC
20165	577	2	can	can	MD
20165	577	3	I	-PRON-	PRP
20165	577	4	see	see	VB
20165	577	5	,	,	,
20165	577	6	nor	nor	CC
20165	577	7	can	can	MD
20165	577	8	I	-PRON-	PRP
20165	577	9	budge	budge	VB
20165	577	10	a	a	DT
20165	577	11	step	step	NN
20165	577	12	;	;	:
20165	577	13	My	-PRON-	PRP$
20165	577	14	skin	skin	NN
20165	577	15	though	though	IN
20165	577	16	loose	loose	JJ
20165	577	17	in	in	IN
20165	577	18	front	front	NN
20165	577	19	is	be	VBZ
20165	577	20	tight	tight	JJ
20165	577	21	behind	behind	RB
20165	577	22	,	,	,
20165	577	23	And	and	CC
20165	577	24	I	-PRON-	PRP
20165	577	25	am	be	VBP
20165	577	26	even	even	RB
20165	577	27	as	as	IN
20165	577	28	a	a	DT
20165	577	29	Syrian	syrian	JJ
20165	577	30	bow	bow	NN
20165	577	31	.	.	.
20165	578	1	Alas	alas	UH
20165	578	2	!	!	.
20165	579	1	methinks	methink	VBZ
20165	579	2	a	a	DT
20165	579	3	bent	bent	JJ
20165	579	4	tube	tube	NN
20165	579	5	shoots	shoot	NNS
20165	579	6	not	not	RB
20165	579	7	well	well	RB
20165	579	8	;	;	:
20165	579	9	So	so	CC
20165	579	10	give	give	VB
20165	579	11	me	-PRON-	PRP
20165	579	12	now	now	RB
20165	579	13	thine	thine	NN
20165	579	14	aid	aid	NN
20165	579	15	,	,	,
20165	579	16	my	-PRON-	PRP$
20165	579	17	Giovanni	Giovanni	NNP
20165	579	18	.	.	.
20165	580	1	At	at	IN
20165	580	2	present	present	JJ
20165	580	3	that	that	DT
20165	580	4	difficulty	difficulty	NN
20165	580	5	is	be	VBZ
20165	580	6	got	get	VBN
20165	580	7	over	over	RP
20165	580	8	by	by	IN
20165	580	9	using	use	VBG
20165	580	10	large	large	JJ
20165	580	11	strong	strong	JJ
20165	580	12	canvas	canvas	NN
20165	580	13	,	,	,
20165	580	14	on	on	IN
20165	580	15	which	which	WDT
20165	580	16	the	the	DT
20165	580	17	picture	picture	NN
20165	580	18	can	can	MD
20165	580	19	be	be	VB
20165	580	20	painted	paint	VBN
20165	580	21	in	in	IN
20165	580	22	the	the	DT
20165	580	23	studio	studio	NN
20165	580	24	and	and	CC
20165	580	25	afterwards	afterwards	RB
20165	580	26	placed	place	VBN
20165	580	27	on	on	IN
20165	580	28	the	the	DT
20165	580	29	wall	wall	NN
20165	580	30	.	.	.
20165	581	1	However	however	RB
20165	581	2	,	,	,
20165	581	3	the	the	DT
20165	581	4	other	other	JJ
20165	581	5	difficulty	difficulty	NN
20165	581	6	of	of	IN
20165	581	7	form	form	NN
20165	581	8	has	have	VBZ
20165	581	9	to	to	TO
20165	581	10	be	be	VB
20165	581	11	got	get	VBN
20165	581	12	over	over	RP
20165	581	13	also	also	RB
20165	581	14	.	.	.
20165	582	1	A	a	DT
20165	582	2	great	great	JJ
20165	582	3	portion	portion	NN
20165	582	4	of	of	IN
20165	582	5	the	the	DT
20165	582	6	ceiling	ceiling	NN
20165	582	7	of	of	IN
20165	582	8	the	the	DT
20165	582	9	Sistine	Sistine	NNP
20165	582	10	Chapel	Chapel	NNP
20165	582	11	,	,	,
20165	582	12	and	and	CC
20165	582	13	notably	notably	RB
20165	582	14	the	the	DT
20165	582	15	prophets	prophet	NNS
20165	582	16	and	and	CC
20165	582	17	sibyls	sibyls	NNP
20165	582	18	,	,	,
20165	582	19	are	be	VBP
20165	582	20	painted	paint	VBN
20165	582	21	on	on	IN
20165	582	22	a	a	DT
20165	582	23	curved	curved	JJ
20165	582	24	surface	surface	NN
20165	582	25	,	,	,
20165	582	26	in	in	IN
20165	582	27	which	which	WDT
20165	582	28	case	case	NN
20165	582	29	a	a	DT
20165	582	30	similar	similar	JJ
20165	582	31	method	method	NN
20165	582	32	to	to	IN
20165	582	33	that	that	DT
20165	582	34	explained	explain	VBN
20165	582	35	by	by	IN
20165	582	36	Leonardo	Leonardo	NNP
20165	582	37	da	da	NNP
20165	582	38	Vinci	Vinci	NNP
20165	582	39	has	have	VBZ
20165	582	40	to	to	TO
20165	582	41	be	be	VB
20165	582	42	adopted	adopt	VBN
20165	582	43	.	.	.
20165	583	1	In	in	IN
20165	583	2	Chapter	chapter	NN
20165	583	3	CCCI	CCCI	NNP
20165	583	4	he	-PRON-	PRP
20165	583	5	shows	show	VBZ
20165	583	6	us	-PRON-	PRP
20165	583	7	how	how	WRB
20165	583	8	to	to	TO
20165	583	9	draw	draw	VB
20165	583	10	a	a	DT
20165	583	11	figure	figure	NN
20165	583	12	twenty	twenty	CD
20165	583	13	-	-	HYPH
20165	583	14	four	four	CD
20165	583	15	braccia	braccia	NN
20165	583	16	high	high	RB
20165	583	17	upon	upon	IN
20165	583	18	a	a	DT
20165	583	19	wall	wall	NN
20165	583	20	twelve	twelve	CD
20165	583	21	braccia	braccia	NNP
20165	583	22	high	high	JJ
20165	583	23	.	.	.
20165	584	1	(	(	-LRB-
20165	584	2	The	the	DT
20165	584	3	braccia	braccia	NN
20165	584	4	is	be	VBZ
20165	584	5	1	1	CD
20165	584	6	ft	ft	NN
20165	584	7	.	.	NNP
20165	584	8	10	10	CD
20165	584	9	-	-	SYM
20165	584	10	7/8	7/8	CD
20165	584	11	in	in	IN
20165	584	12	.	.	.
20165	584	13	)	)	-RRB-
20165	584	14	.	.	.
20165	585	1	He	-PRON-	PRP
20165	585	2	first	first	RB
20165	585	3	draws	draw	VBZ
20165	585	4	the	the	DT
20165	585	5	figure	figure	NN
20165	585	6	upright	upright	RB
20165	585	7	,	,	,
20165	585	8	then	then	RB
20165	585	9	from	from	IN
20165	585	10	the	the	DT
20165	585	11	various	various	JJ
20165	585	12	points	point	NNS
20165	585	13	draws	draw	VBZ
20165	585	14	lines	line	NNS
20165	585	15	to	to	IN
20165	585	16	a	a	DT
20165	585	17	point	point	NN
20165	585	18	_	_	NNP
20165	585	19	F	F	NNP
20165	585	20	_	_	NNP
20165	585	21	on	on	IN
20165	585	22	the	the	DT
20165	585	23	floor	floor	NN
20165	585	24	of	of	IN
20165	585	25	the	the	DT
20165	585	26	building	building	NN
20165	585	27	,	,	,
20165	585	28	marking	mark	VBG
20165	585	29	their	-PRON-	PRP$
20165	585	30	intersections	intersection	NNS
20165	585	31	on	on	IN
20165	585	32	the	the	DT
20165	585	33	profile	profile	NN
20165	585	34	of	of	IN
20165	585	35	the	the	DT
20165	585	36	wall	wall	NN
20165	585	37	somewhat	somewhat	RB
20165	585	38	in	in	IN
20165	585	39	the	the	DT
20165	585	40	manner	manner	NN
20165	585	41	we	-PRON-	PRP
20165	585	42	have	have	VBP
20165	585	43	indicated	indicate	VBN
20165	585	44	,	,	,
20165	585	45	which	which	WDT
20165	585	46	serve	serve	VBP
20165	585	47	as	as	IN
20165	585	48	guides	guide	NNS
20165	585	49	in	in	IN
20165	585	50	making	make	VBG
20165	585	51	the	the	DT
20165	585	52	outline	outline	NN
20165	585	53	to	to	TO
20165	585	54	be	be	VB
20165	585	55	traced	trace	VBN
20165	585	56	.	.	.
20165	586	1	[	[	-LRB-
20165	586	2	Illustration	illustration	NN
20165	586	3	:	:	:
20165	586	4	Fig	Fig	NNP
20165	586	5	.	.	.
20165	587	1	67	67	CD
20165	587	2	.	.	.
20165	588	1	'	'	``
20165	588	2	Draw	draw	VB
20165	588	3	upon	upon	IN
20165	588	4	part	part	NN
20165	588	5	of	of	IN
20165	588	6	wall	wall	NNP
20165	588	7	_	_	NNP
20165	588	8	MN	MN	NNP
20165	588	9	_	_	NNP
20165	588	10	half	half	PDT
20165	588	11	the	the	DT
20165	588	12	figure	figure	NN
20165	588	13	you	-PRON-	PRP
20165	588	14	mean	mean	VBP
20165	588	15	to	to	TO
20165	588	16	represent	represent	VB
20165	588	17	,	,	,
20165	588	18	and	and	CC
20165	588	19	the	the	DT
20165	588	20	other	other	JJ
20165	588	21	half	half	NN
20165	588	22	upon	upon	IN
20165	588	23	the	the	DT
20165	588	24	cove	cove	NN
20165	588	25	above	above	RB
20165	588	26	(	(	-LRB-
20165	588	27	_	_	NNP
20165	588	28	MR	MR	NNP
20165	588	29	_	_	NNP
20165	588	30	)	)	-RRB-
20165	588	31	.	.	.
20165	588	32	'	'	''
20165	589	1	Leonardo	Leonardo	NNP
20165	589	2	da	da	NNP
20165	589	3	Vinci	Vinci	NNP
20165	589	4	's	's	POS
20165	589	5	_	_	NNP
20165	589	6	Treatise	Treatise	NNP
20165	589	7	on	on	IN
20165	589	8	Painting	Painting	NNP
20165	589	9	_	_	NNP
20165	589	10	.	.	.
20165	589	11	]	]	-RRB-
20165	590	1	XXI	XXI	NNP
20165	590	2	INTERIORS	INTERIORS	NNP
20165	590	3	[	[	-LRB-
20165	590	4	Illustration	illustration	NN
20165	590	5	:	:	:
20165	590	6	Fig	Fig	NNP
20165	590	7	.	.	.
20165	591	1	68	68	CD
20165	591	2	.	.	.
20165	592	1	Interior	Interior	NNP
20165	592	2	by	by	IN
20165	592	3	de	de	NNP
20165	592	4	Hoogh	Hoogh	NNP
20165	592	5	.	.	.
20165	592	6	]	]	-RRB-
20165	593	1	To	to	TO
20165	593	2	draw	draw	VB
20165	593	3	the	the	DT
20165	593	4	interior	interior	NN
20165	593	5	of	of	IN
20165	593	6	a	a	DT
20165	593	7	cube	cube	NN
20165	593	8	we	-PRON-	PRP
20165	593	9	must	must	MD
20165	593	10	suppose	suppose	VB
20165	593	11	the	the	DT
20165	593	12	side	side	NN
20165	593	13	facing	face	VBG
20165	593	14	us	-PRON-	PRP
20165	593	15	to	to	TO
20165	593	16	be	be	VB
20165	593	17	removed	remove	VBN
20165	593	18	or	or	CC
20165	593	19	transparent	transparent	JJ
20165	593	20	.	.	.
20165	594	1	Indeed	indeed	RB
20165	594	2	,	,	,
20165	594	3	in	in	IN
20165	594	4	all	all	DT
20165	594	5	our	-PRON-	PRP$
20165	594	6	figures	figure	NNS
20165	594	7	which	which	WDT
20165	594	8	represent	represent	VBP
20165	594	9	solids	solid	NNS
20165	594	10	we	-PRON-	PRP
20165	594	11	suppose	suppose	VBP
20165	594	12	that	that	IN
20165	594	13	we	-PRON-	PRP
20165	594	14	can	can	MD
20165	594	15	see	see	VB
20165	594	16	through	through	IN
20165	594	17	them	-PRON-	PRP
20165	594	18	,	,	,
20165	594	19	and	and	CC
20165	594	20	in	in	IN
20165	594	21	most	most	JJS
20165	594	22	cases	case	NNS
20165	594	23	we	-PRON-	PRP
20165	594	24	mark	mark	VBP
20165	594	25	the	the	DT
20165	594	26	hidden	hidden	JJ
20165	594	27	portions	portion	NNS
20165	594	28	with	with	IN
20165	594	29	dotted	dotted	JJ
20165	594	30	lines	line	NNS
20165	594	31	.	.	.
20165	595	1	So	so	RB
20165	595	2	also	also	RB
20165	595	3	with	with	IN
20165	595	4	all	all	PDT
20165	595	5	those	those	DT
20165	595	6	imaginary	imaginary	JJ
20165	595	7	lines	line	NNS
20165	595	8	which	which	WDT
20165	595	9	conduct	conduct	VBP
20165	595	10	the	the	DT
20165	595	11	eye	eye	NN
20165	595	12	to	to	IN
20165	595	13	the	the	DT
20165	595	14	various	various	JJ
20165	595	15	vanishing	vanish	VBG
20165	595	16	points	point	NNS
20165	595	17	,	,	,
20165	595	18	and	and	CC
20165	595	19	which	which	WDT
20165	595	20	the	the	DT
20165	595	21	old	old	JJ
20165	595	22	writers	writer	NNS
20165	595	23	called	call	VBD
20165	595	24	'	'	``
20165	595	25	occult	occult	NN
20165	595	26	'	'	''
20165	595	27	.	.	.
20165	596	1	[	[	-LRB-
20165	596	2	Illustration	illustration	NN
20165	596	3	:	:	:
20165	596	4	Fig	Fig	NNP
20165	596	5	.	.	.
20165	597	1	69	69	CD
20165	597	2	.	.	.
20165	597	3	]	]	-RRB-
20165	598	1	When	when	WRB
20165	598	2	the	the	DT
20165	598	3	cube	cube	NN
20165	598	4	is	be	VBZ
20165	598	5	placed	place	VBN
20165	598	6	below	below	IN
20165	598	7	the	the	DT
20165	598	8	horizon	horizon	NN
20165	598	9	(	(	-LRB-
20165	598	10	as	as	IN
20165	598	11	in	in	IN
20165	598	12	Fig	Fig	NNP
20165	598	13	.	.	.
20165	599	1	59	59	LS
20165	599	2	)	)	-RRB-
20165	599	3	,	,	,
20165	599	4	we	-PRON-	PRP
20165	599	5	see	see	VBP
20165	599	6	the	the	DT
20165	599	7	top	top	NN
20165	599	8	of	of	IN
20165	599	9	it	-PRON-	PRP
20165	599	10	;	;	:
20165	599	11	when	when	WRB
20165	599	12	on	on	IN
20165	599	13	the	the	DT
20165	599	14	horizon	horizon	NN
20165	599	15	,	,	,
20165	599	16	as	as	IN
20165	599	17	in	in	IN
20165	599	18	the	the	DT
20165	599	19	above	above	JJ
20165	599	20	(	(	-LRB-
20165	599	21	Fig	fig	NN
20165	599	22	.	.	.
20165	600	1	69	69	CD
20165	600	2	)	)	-RRB-
20165	600	3	,	,	,
20165	600	4	if	if	IN
20165	600	5	the	the	DT
20165	600	6	side	side	NN
20165	600	7	facing	face	VBG
20165	600	8	us	-PRON-	PRP
20165	600	9	is	be	VBZ
20165	600	10	removed	remove	VBN
20165	600	11	we	-PRON-	PRP
20165	600	12	see	see	VBP
20165	600	13	both	both	DT
20165	600	14	top	top	NN
20165	600	15	and	and	CC
20165	600	16	bottom	bottom	NN
20165	600	17	of	of	IN
20165	600	18	it	-PRON-	PRP
20165	600	19	,	,	,
20165	600	20	or	or	CC
20165	600	21	if	if	IN
20165	600	22	a	a	DT
20165	600	23	room	room	NN
20165	600	24	,	,	,
20165	600	25	we	-PRON-	PRP
20165	600	26	see	see	VBP
20165	600	27	floor	floor	NN
20165	600	28	and	and	CC
20165	600	29	ceiling	ceiling	NN
20165	600	30	,	,	,
20165	600	31	but	but	CC
20165	600	32	otherwise	otherwise	RB
20165	600	33	we	-PRON-	PRP
20165	600	34	should	should	MD
20165	600	35	see	see	VB
20165	600	36	but	but	CC
20165	600	37	one	one	CD
20165	600	38	side	side	NN
20165	600	39	(	(	-LRB-
20165	600	40	that	that	IN
20165	600	41	facing	face	VBG
20165	600	42	us	-PRON-	PRP
20165	600	43	)	)	-RRB-
20165	600	44	,	,	,
20165	600	45	or	or	CC
20165	600	46	at	at	IN
20165	600	47	most	most	RBS
20165	600	48	two	two	CD
20165	600	49	sides	side	NNS
20165	600	50	.	.	.
20165	601	1	When	when	WRB
20165	601	2	the	the	DT
20165	601	3	cube	cube	NN
20165	601	4	is	be	VBZ
20165	601	5	above	above	IN
20165	601	6	the	the	DT
20165	601	7	horizon	horizon	NN
20165	601	8	we	-PRON-	PRP
20165	601	9	see	see	VBP
20165	601	10	underneath	underneath	IN
20165	601	11	it	-PRON-	PRP
20165	601	12	.	.	.
20165	602	1	We	-PRON-	PRP
20165	602	2	shall	shall	MD
20165	602	3	find	find	VB
20165	602	4	this	this	DT
20165	602	5	simple	simple	JJ
20165	602	6	cube	cube	NN
20165	602	7	of	of	IN
20165	602	8	great	great	JJ
20165	602	9	use	use	NN
20165	602	10	to	to	IN
20165	602	11	us	-PRON-	PRP
20165	602	12	in	in	IN
20165	602	13	architectural	architectural	JJ
20165	602	14	subjects	subject	NNS
20165	602	15	,	,	,
20165	602	16	such	such	JJ
20165	602	17	as	as	IN
20165	602	18	towers	tower	NNS
20165	602	19	,	,	,
20165	602	20	houses	house	NNS
20165	602	21	,	,	,
20165	602	22	roofs	roof	NNS
20165	602	23	,	,	,
20165	602	24	interiors	interior	NNS
20165	602	25	of	of	IN
20165	602	26	rooms	room	NNS
20165	602	27	,	,	,
20165	602	28	&	&	CC
20165	602	29	c.	c.	NNP
20165	602	30	In	in	IN
20165	602	31	this	this	DT
20165	602	32	little	little	JJ
20165	602	33	picture	picture	NN
20165	602	34	by	by	IN
20165	602	35	de	de	NNP
20165	602	36	Hoogh	Hoogh	NNP
20165	602	37	we	-PRON-	PRP
20165	602	38	have	have	VBP
20165	602	39	the	the	DT
20165	602	40	application	application	NN
20165	602	41	of	of	IN
20165	602	42	the	the	DT
20165	602	43	perspective	perspective	NN
20165	602	44	of	of	IN
20165	602	45	the	the	DT
20165	602	46	cube	cube	NNP
20165	602	47	and	and	CC
20165	602	48	other	other	JJ
20165	602	49	foregoing	foregoing	NN
20165	602	50	problems	problem	NNS
20165	602	51	.	.	.
20165	603	1	XXII	XXII	NNP
20165	603	2	THE	the	DT
20165	603	3	SQUARE	SQUARE	NNP
20165	603	4	AT	at	IN
20165	603	5	AN	an	DT
20165	603	6	ANGLE	ANGLE	NNP
20165	603	7	OF	of	IN
20165	603	8	45	45	CD
20165	603	9	°	°	NNS
20165	603	10	When	when	WRB
20165	603	11	the	the	DT
20165	603	12	square	square	NN
20165	603	13	is	be	VBZ
20165	603	14	at	at	IN
20165	603	15	an	an	DT
20165	603	16	angle	angle	NN
20165	603	17	of	of	IN
20165	603	18	45	45	CD
20165	603	19	°	°	NNS
20165	603	20	to	to	IN
20165	603	21	the	the	DT
20165	603	22	base	base	NN
20165	603	23	line	line	NN
20165	603	24	,	,	,
20165	603	25	then	then	RB
20165	603	26	its	-PRON-	PRP$
20165	603	27	sides	side	NNS
20165	603	28	are	be	VBP
20165	603	29	drawn	draw	VBN
20165	603	30	respectively	respectively	RB
20165	603	31	to	to	IN
20165	603	32	the	the	DT
20165	603	33	points	point	NNS
20165	603	34	of	of	IN
20165	603	35	distance	distance	NN
20165	603	36	,	,	,
20165	603	37	_	_	NNP
20165	603	38	DD	DD	NNP
20165	603	39	_	_	NNP
20165	603	40	,	,	,
20165	603	41	and	and	CC
20165	603	42	one	one	CD
20165	603	43	of	of	IN
20165	603	44	its	-PRON-	PRP$
20165	603	45	diagonals	diagonal	NNS
20165	603	46	which	which	WDT
20165	603	47	is	be	VBZ
20165	603	48	at	at	IN
20165	603	49	right	right	JJ
20165	603	50	angles	angle	NNS
20165	603	51	to	to	IN
20165	603	52	the	the	DT
20165	603	53	base	base	NN
20165	603	54	is	be	VBZ
20165	603	55	drawn	draw	VBN
20165	603	56	to	to	IN
20165	603	57	the	the	DT
20165	603	58	point	point	NN
20165	603	59	of	of	IN
20165	603	60	sight	sight	NN
20165	603	61	_	_	NNP
20165	603	62	S	S	NNP
20165	603	63	_	_	NNP
20165	603	64	,	,	,
20165	603	65	and	and	CC
20165	603	66	the	the	DT
20165	603	67	other	other	JJ
20165	603	68	_	_	NNP
20165	603	69	ab	ab	NNP
20165	603	70	_	_	NNP
20165	603	71	,	,	,
20165	603	72	is	be	VBZ
20165	603	73	parallel	parallel	JJ
20165	603	74	to	to	IN
20165	603	75	that	that	DT
20165	603	76	base	base	NN
20165	603	77	or	or	CC
20165	603	78	ground	ground	NN
20165	603	79	line	line	NN
20165	603	80	.	.	.
20165	604	1	[	[	-LRB-
20165	604	2	Illustration	illustration	NN
20165	604	3	:	:	:
20165	604	4	Fig	Fig	NNP
20165	604	5	.	.	.
20165	605	1	70	70	CD
20165	605	2	.	.	.
20165	605	3	]	]	-RRB-
20165	606	1	To	to	TO
20165	606	2	draw	draw	VB
20165	606	3	a	a	DT
20165	606	4	pavement	pavement	NN
20165	606	5	with	with	IN
20165	606	6	its	-PRON-	PRP$
20165	606	7	squares	square	NNS
20165	606	8	at	at	IN
20165	606	9	this	this	DT
20165	606	10	angle	angle	NN
20165	606	11	is	be	VBZ
20165	606	12	but	but	CC
20165	606	13	an	an	DT
20165	606	14	amplification	amplification	NN
20165	606	15	of	of	IN
20165	606	16	the	the	DT
20165	606	17	above	above	JJ
20165	606	18	figure	figure	NN
20165	606	19	.	.	.
20165	607	1	Mark	mark	VB
20165	607	2	off	off	RP
20165	607	3	on	on	IN
20165	607	4	base	base	NN
20165	607	5	equal	equal	JJ
20165	607	6	distances	distance	NNS
20165	607	7	,	,	,
20165	607	8	1	1	CD
20165	607	9	,	,	,
20165	607	10	2	2	CD
20165	607	11	,	,	,
20165	607	12	3	3	CD
20165	607	13	,	,	,
20165	607	14	&	&	CC
20165	607	15	c.	c.	NNP
20165	607	16	,	,	,
20165	607	17	representing	represent	VBG
20165	607	18	the	the	DT
20165	607	19	diagonals	diagonal	NNS
20165	607	20	of	of	IN
20165	607	21	required	require	VBN
20165	607	22	squares	square	NNS
20165	607	23	,	,	,
20165	607	24	and	and	CC
20165	607	25	from	from	IN
20165	607	26	each	each	DT
20165	607	27	of	of	IN
20165	607	28	these	these	DT
20165	607	29	points	point	NNS
20165	607	30	draw	draw	VBP
20165	607	31	lines	line	NNS
20165	607	32	to	to	IN
20165	607	33	points	point	NNS
20165	607	34	of	of	IN
20165	607	35	distance	distance	NN
20165	607	36	_	_	NNP
20165	607	37	DD	DD	NNP
20165	607	38	´	´	NNP
20165	607	39	_	_	NNP
20165	607	40	.	.	.
20165	608	1	These	these	DT
20165	608	2	lines	line	NNS
20165	608	3	will	will	MD
20165	608	4	intersect	intersect	VB
20165	608	5	each	each	DT
20165	608	6	other	other	JJ
20165	608	7	,	,	,
20165	608	8	and	and	CC
20165	608	9	so	so	RB
20165	608	10	form	form	VB
20165	608	11	the	the	DT
20165	608	12	squares	square	NNS
20165	608	13	of	of	IN
20165	608	14	the	the	DT
20165	608	15	pavement	pavement	NN
20165	608	16	;	;	:
20165	608	17	to	to	TO
20165	608	18	ensure	ensure	VB
20165	608	19	correctness	correctness	NN
20165	608	20	,	,	,
20165	608	21	lines	line	NNS
20165	608	22	should	should	MD
20165	608	23	also	also	RB
20165	608	24	be	be	VB
20165	608	25	drawn	draw	VBN
20165	608	26	from	from	IN
20165	608	27	these	these	DT
20165	608	28	points	point	NNS
20165	608	29	1	1	CD
20165	608	30	,	,	,
20165	608	31	2	2	CD
20165	608	32	,	,	,
20165	608	33	3	3	CD
20165	608	34	,	,	,
20165	608	35	to	to	IN
20165	608	36	the	the	DT
20165	608	37	point	point	NN
20165	608	38	of	of	IN
20165	608	39	sight	sight	NN
20165	608	40	_	_	NNP
20165	608	41	S	S	NNP
20165	608	42	_	_	NNP
20165	608	43	,	,	,
20165	608	44	and	and	CC
20165	608	45	also	also	RB
20165	608	46	horizontals	horizontal	VBZ
20165	608	47	parallel	parallel	JJ
20165	608	48	to	to	IN
20165	608	49	the	the	DT
20165	608	50	base	base	NN
20165	608	51	,	,	,
20165	608	52	as	as	IN
20165	608	53	_	_	NNP
20165	608	54	ab	ab	NNP
20165	608	55	_	_	NNP
20165	608	56	.	.	.
20165	609	1	[	[	-LRB-
20165	609	2	Illustration	illustration	NN
20165	609	3	:	:	:
20165	609	4	Fig	Fig	NNP
20165	609	5	.	.	.
20165	610	1	71	71	CD
20165	610	2	.	.	.
20165	610	3	]	]	-RRB-
20165	611	1	XXIII	XXIII	NNP
20165	611	2	THE	the	DT
20165	611	3	CUBE	CUBE	NNP
20165	611	4	AT	at	IN
20165	611	5	AN	an	DT
20165	611	6	ANGLE	ANGLE	NNP
20165	611	7	OF	of	IN
20165	611	8	45	45	CD
20165	611	9	°	°	NNS
20165	611	10	Having	have	VBG
20165	611	11	drawn	draw	VBN
20165	611	12	the	the	DT
20165	611	13	square	square	NN
20165	611	14	at	at	IN
20165	611	15	an	an	DT
20165	611	16	angle	angle	NN
20165	611	17	of	of	IN
20165	611	18	45	45	CD
20165	611	19	°	°	NNS
20165	611	20	,	,	,
20165	611	21	as	as	IN
20165	611	22	shown	show	VBN
20165	611	23	in	in	IN
20165	611	24	the	the	DT
20165	611	25	previous	previous	JJ
20165	611	26	figure	figure	NN
20165	611	27	,	,	,
20165	611	28	we	-PRON-	PRP
20165	611	29	find	find	VBP
20165	611	30	the	the	DT
20165	611	31	length	length	NN
20165	611	32	of	of	IN
20165	611	33	one	one	CD
20165	611	34	of	of	IN
20165	611	35	its	-PRON-	PRP$
20165	611	36	sides	side	NNS
20165	611	37	,	,	,
20165	611	38	_	_	NNP
20165	611	39	dh	dh	NNP
20165	611	40	_	_	NNP
20165	611	41	,	,	,
20165	611	42	by	by	IN
20165	611	43	drawing	draw	VBG
20165	611	44	a	a	DT
20165	611	45	line	line	NN
20165	611	46	,	,	,
20165	611	47	_	_	NNP
20165	611	48	SK	SK	NNP
20165	611	49	_	_	NNP
20165	611	50	,	,	,
20165	611	51	through	through	IN
20165	611	52	_	_	NNP
20165	611	53	h	h	NNP
20165	611	54	_	_	NNP
20165	611	55	,	,	,
20165	611	56	one	one	CD
20165	611	57	of	of	IN
20165	611	58	its	-PRON-	PRP$
20165	611	59	extremities	extremity	NNS
20165	611	60	,	,	,
20165	611	61	till	till	IN
20165	611	62	it	-PRON-	PRP
20165	611	63	cuts	cut	VBZ
20165	611	64	the	the	DT
20165	611	65	base	base	NN
20165	611	66	line	line	NN
20165	611	67	at	at	IN
20165	611	68	_	_	NNP
20165	611	69	K	K	NNP
20165	611	70	_	_	NNP
20165	611	71	.	.	.
20165	612	1	Then	then	RB
20165	612	2	,	,	,
20165	612	3	with	with	IN
20165	612	4	the	the	DT
20165	612	5	other	other	JJ
20165	612	6	extremity	extremity	NN
20165	612	7	_	_	NNP
20165	612	8	d	d	NNP
20165	612	9	_	_	NNP
20165	612	10	for	for	IN
20165	612	11	centre	centre	NN
20165	612	12	and	and	CC
20165	612	13	_	_	NNP
20165	612	14	dK	dK	NNP
20165	612	15	_	_	NNP
20165	612	16	for	for	IN
20165	612	17	radius	radius	NN
20165	612	18	,	,	,
20165	612	19	describe	describe	VB
20165	612	20	a	a	DT
20165	612	21	quarter	quarter	NN
20165	612	22	of	of	IN
20165	612	23	a	a	DT
20165	612	24	circle	circle	NN
20165	612	25	_	_	NNP
20165	612	26	Km	Km	NNP
20165	612	27	_	_	NNP
20165	612	28	;	;	:
20165	612	29	the	the	DT
20165	612	30	chord	chord	NN
20165	612	31	thereof	thereof	RB
20165	612	32	_	_	NNP
20165	612	33	mK	mK	NNP
20165	612	34	_	_	NNP
20165	612	35	will	will	MD
20165	612	36	be	be	VB
20165	612	37	the	the	DT
20165	612	38	geometrical	geometrical	JJ
20165	612	39	length	length	NN
20165	612	40	of	of	IN
20165	612	41	_	_	NNP
20165	612	42	dh	dh	NNP
20165	612	43	_	_	NNP
20165	612	44	.	.	.
20165	613	1	At	at	IN
20165	613	2	_	_	NNP
20165	613	3	d	d	NNP
20165	613	4	_	_	NNP
20165	613	5	raise	raise	VBP
20165	613	6	vertical	vertical	JJ
20165	613	7	_	_	NNP
20165	613	8	dC	dC	NNP
20165	613	9	_	_	NNP
20165	613	10	equal	equal	JJ
20165	613	11	to	to	IN
20165	613	12	_	_	NNP
20165	613	13	mK	mK	NNP
20165	613	14	_	_	NNP
20165	613	15	,	,	,
20165	613	16	which	which	WDT
20165	613	17	gives	give	VBZ
20165	613	18	us	-PRON-	PRP
20165	613	19	the	the	DT
20165	613	20	height	height	NN
20165	613	21	of	of	IN
20165	613	22	the	the	DT
20165	613	23	cube	cube	NN
20165	613	24	,	,	,
20165	613	25	then	then	RB
20165	613	26	raise	raise	VB
20165	613	27	verticals	vertical	NNS
20165	613	28	at	at	IN
20165	613	29	_	_	NNP
20165	613	30	a	a	DT
20165	613	31	_	_	NNP
20165	613	32	,	,	,
20165	613	33	_	_	NNP
20165	613	34	h	h	NNP
20165	613	35	_	_	NNP
20165	613	36	,	,	,
20165	613	37	&	&	CC
20165	613	38	c.	c.	NNP
20165	613	39	,	,	,
20165	613	40	their	-PRON-	PRP$
20165	613	41	height	height	NN
20165	613	42	being	be	VBG
20165	613	43	found	find	VBN
20165	613	44	by	by	IN
20165	613	45	drawing	draw	VBG
20165	613	46	_	_	NNP
20165	613	47	CD	CD	NNP
20165	613	48	_	_	NNP
20165	613	49	and	and	CC
20165	613	50	_	_	NNP
20165	613	51	CD	CD	NNP
20165	613	52	´	´	NNP
20165	613	53	_	_	NNP
20165	613	54	to	to	IN
20165	613	55	the	the	DT
20165	613	56	two	two	CD
20165	613	57	points	point	NNS
20165	613	58	of	of	IN
20165	613	59	distance	distance	NN
20165	613	60	,	,	,
20165	613	61	and	and	CC
20165	613	62	so	so	RB
20165	613	63	completing	complete	VBG
20165	613	64	the	the	DT
20165	613	65	figure	figure	NN
20165	613	66	.	.	.
20165	614	1	[	[	-LRB-
20165	614	2	Illustration	illustration	NN
20165	614	3	:	:	:
20165	614	4	Fig	Fig	NNP
20165	614	5	.	.	.
20165	615	1	72	72	CD
20165	615	2	.	.	.
20165	615	3	]	]	-RRB-
20165	616	1	XXIV	xxiv	NN
20165	616	2	PAVEMENTS	PAVEMENTS	NNP
20165	616	3	DRAWN	draw	VBZ
20165	616	4	BY	by	IN
20165	616	5	MEANS	mean	NNS
20165	616	6	OF	of	IN
20165	616	7	SQUARES	SQUARES	NNP
20165	616	8	AT	at	IN
20165	616	9	45	45	CD
20165	616	10	°	°	,
20165	616	11	[	[	-LRB-
20165	616	12	Illustration	illustration	NN
20165	616	13	:	:	:
20165	616	14	Fig	Fig	NNP
20165	616	15	.	.	.
20165	617	1	73	73	CD
20165	617	2	.	.	.
20165	617	3	]	]	-RRB-
20165	618	1	[	[	-LRB-
20165	618	2	Illustration	illustration	NN
20165	618	3	:	:	:
20165	618	4	Fig	Fig	NNP
20165	618	5	.	.	.
20165	619	1	74	74	CD
20165	619	2	.	.	.
20165	619	3	]	]	-RRB-
20165	620	1	The	the	DT
20165	620	2	square	square	NN
20165	620	3	at	at	IN
20165	620	4	45	45	CD
20165	620	5	°	°	NNS
20165	620	6	will	will	MD
20165	620	7	be	be	VB
20165	620	8	found	find	VBN
20165	620	9	of	of	IN
20165	620	10	great	great	JJ
20165	620	11	use	use	NN
20165	620	12	in	in	IN
20165	620	13	drawing	draw	VBG
20165	620	14	pavements	pavement	NNS
20165	620	15	,	,	,
20165	620	16	roofs	roof	NNS
20165	620	17	,	,	,
20165	620	18	ceilings	ceiling	NNS
20165	620	19	,	,	,
20165	620	20	&	&	CC
20165	620	21	c.	c.	NN
20165	620	22	In	in	IN
20165	620	23	Figs	Figs	NNP
20165	620	24	.	.	.
20165	621	1	73	73	CD
20165	621	2	,	,	,
20165	621	3	74	74	CD
20165	621	4	it	-PRON-	PRP
20165	621	5	is	be	VBZ
20165	621	6	shown	show	VBN
20165	621	7	how	how	WRB
20165	621	8	having	have	VBG
20165	621	9	set	set	VBN
20165	621	10	out	out	RP
20165	621	11	one	one	CD
20165	621	12	square	square	NN
20165	621	13	it	-PRON-	PRP
20165	621	14	can	can	MD
20165	621	15	be	be	VB
20165	621	16	divided	divide	VBN
20165	621	17	into	into	IN
20165	621	18	four	four	CD
20165	621	19	or	or	CC
20165	621	20	more	more	RBR
20165	621	21	equal	equal	JJ
20165	621	22	squares	square	NNS
20165	621	23	,	,	,
20165	621	24	and	and	CC
20165	621	25	any	any	DT
20165	621	26	figure	figure	NN
20165	621	27	or	or	CC
20165	621	28	tile	tile	NN
20165	621	29	drawn	draw	VBN
20165	621	30	therein	therein	RB
20165	621	31	.	.	.
20165	622	1	Begin	begin	VB
20165	622	2	by	by	IN
20165	622	3	making	make	VBG
20165	622	4	a	a	DT
20165	622	5	geometrical	geometrical	JJ
20165	622	6	or	or	CC
20165	622	7	ground	ground	NN
20165	622	8	plan	plan	NN
20165	622	9	of	of	IN
20165	622	10	the	the	DT
20165	622	11	required	require	VBN
20165	622	12	design	design	NN
20165	622	13	,	,	,
20165	622	14	as	as	IN
20165	622	15	at	at	IN
20165	622	16	Figs	Figs	NNP
20165	622	17	.	.	.
20165	623	1	73	73	CD
20165	623	2	and	and	CC
20165	623	3	74	74	CD
20165	623	4	,	,	,
20165	623	5	where	where	WRB
20165	623	6	we	-PRON-	PRP
20165	623	7	have	have	VBP
20165	623	8	bricks	brick	NNS
20165	623	9	placed	place	VBN
20165	623	10	at	at	IN
20165	623	11	right	right	JJ
20165	623	12	angles	angle	NNS
20165	623	13	to	to	IN
20165	623	14	each	each	DT
20165	623	15	other	other	JJ
20165	623	16	in	in	IN
20165	623	17	rows	row	NNS
20165	623	18	,	,	,
20165	623	19	a	a	DT
20165	623	20	common	common	JJ
20165	623	21	arrangement	arrangement	NN
20165	623	22	in	in	IN
20165	623	23	brick	brick	NN
20165	623	24	floors	floor	NNS
20165	623	25	,	,	,
20165	623	26	or	or	CC
20165	623	27	tiles	tile	NNS
20165	623	28	of	of	IN
20165	623	29	an	an	DT
20165	623	30	octagonal	octagonal	JJ
20165	623	31	form	form	NN
20165	623	32	as	as	IN
20165	623	33	at	at	IN
20165	623	34	Fig	Fig	NNP
20165	623	35	.	.	.
20165	624	1	75	75	CD
20165	624	2	.	.	.
20165	625	1	[	[	-LRB-
20165	625	2	Illustration	illustration	NN
20165	625	3	:	:	:
20165	625	4	Fig	Fig	NNP
20165	625	5	.	.	.
20165	626	1	75	75	CD
20165	626	2	.	.	.
20165	626	3	]	]	-RRB-
20165	627	1	XXV	XXV	NNP
20165	627	2	THE	the	DT
20165	627	3	PERSPECTIVE	perspective	NN
20165	627	4	VANISHING	vanish	VBD
20165	627	5	SCALE	scale	NN
20165	627	6	The	the	DT
20165	627	7	vanishing	vanish	VBG
20165	627	8	scale	scale	NN
20165	627	9	,	,	,
20165	627	10	which	which	WDT
20165	627	11	we	-PRON-	PRP
20165	627	12	shall	shall	MD
20165	627	13	find	find	VB
20165	627	14	of	of	IN
20165	627	15	infinite	infinite	JJ
20165	627	16	use	use	NN
20165	627	17	in	in	IN
20165	627	18	our	-PRON-	PRP$
20165	627	19	perspective	perspective	NN
20165	627	20	,	,	,
20165	627	21	is	be	VBZ
20165	627	22	founded	found	VBN
20165	627	23	on	on	IN
20165	627	24	the	the	DT
20165	627	25	facts	fact	NNS
20165	627	26	explained	explain	VBN
20165	627	27	in	in	IN
20165	627	28	Rule	Rule	NNP
20165	627	29	10	10	CD
20165	627	30	.	.	.
20165	628	1	We	-PRON-	PRP
20165	628	2	there	there	EX
20165	628	3	find	find	VBP
20165	628	4	that	that	IN
20165	628	5	all	all	DT
20165	628	6	horizontals	horizontal	NNS
20165	628	7	in	in	IN
20165	628	8	the	the	DT
20165	628	9	same	same	JJ
20165	628	10	plane	plane	NN
20165	628	11	,	,	,
20165	628	12	which	which	WDT
20165	628	13	are	be	VBP
20165	628	14	drawn	draw	VBN
20165	628	15	to	to	IN
20165	628	16	the	the	DT
20165	628	17	same	same	JJ
20165	628	18	point	point	NN
20165	628	19	on	on	IN
20165	628	20	the	the	DT
20165	628	21	horizon	horizon	NN
20165	628	22	,	,	,
20165	628	23	are	be	VBP
20165	628	24	perspectively	perspectively	RB
20165	628	25	parallel	parallel	JJ
20165	628	26	to	to	IN
20165	628	27	each	each	DT
20165	628	28	other	other	JJ
20165	628	29	,	,	,
20165	628	30	so	so	IN
20165	628	31	that	that	IN
20165	628	32	if	if	IN
20165	628	33	we	-PRON-	PRP
20165	628	34	measure	measure	VBP
20165	628	35	a	a	DT
20165	628	36	certain	certain	JJ
20165	628	37	height	height	NN
20165	628	38	or	or	CC
20165	628	39	width	width	NN
20165	628	40	on	on	IN
20165	628	41	the	the	DT
20165	628	42	picture	picture	NN
20165	628	43	plane	plane	NN
20165	628	44	,	,	,
20165	628	45	and	and	CC
20165	628	46	then	then	RB
20165	628	47	from	from	IN
20165	628	48	each	each	DT
20165	628	49	extremity	extremity	NN
20165	628	50	draw	draw	VBP
20165	628	51	lines	line	NNS
20165	628	52	to	to	IN
20165	628	53	any	any	DT
20165	628	54	convenient	convenient	JJ
20165	628	55	point	point	NN
20165	628	56	on	on	IN
20165	628	57	the	the	DT
20165	628	58	horizon	horizon	NN
20165	628	59	,	,	,
20165	628	60	then	then	RB
20165	628	61	all	all	PDT
20165	628	62	the	the	DT
20165	628	63	perpendiculars	perpendicular	NNS
20165	628	64	drawn	draw	VBN
20165	628	65	between	between	IN
20165	628	66	these	these	DT
20165	628	67	lines	line	NNS
20165	628	68	will	will	MD
20165	628	69	be	be	VB
20165	628	70	perspectively	perspectively	RB
20165	628	71	equal	equal	JJ
20165	628	72	,	,	,
20165	628	73	however	however	RB
20165	628	74	much	much	RB
20165	628	75	they	-PRON-	PRP
20165	628	76	may	may	MD
20165	628	77	appear	appear	VB
20165	628	78	to	to	TO
20165	628	79	vary	vary	VB
20165	628	80	in	in	IN
20165	628	81	length	length	NN
20165	628	82	.	.	.
20165	629	1	[	[	-LRB-
20165	629	2	Illustration	illustration	NN
20165	629	3	:	:	:
20165	629	4	Fig	Fig	NNP
20165	629	5	.	.	.
20165	630	1	76	76	CD
20165	630	2	.	.	.
20165	630	3	]	]	-RRB-
20165	631	1	Let	let	VB
20165	631	2	us	-PRON-	PRP
20165	631	3	suppose	suppose	VB
20165	631	4	that	that	IN
20165	631	5	in	in	IN
20165	631	6	this	this	DT
20165	631	7	figure	figure	NN
20165	631	8	(	(	-LRB-
20165	631	9	76	76	CD
20165	631	10	)	)	-RRB-
20165	631	11	_	_	NNP
20165	631	12	AB	AB	NNP
20165	631	13	_	_	NNP
20165	631	14	and	and	CC
20165	631	15	_	_	NNP
20165	631	16	A·B	A·B	NNP
20165	631	17	·	·	NFP
20165	631	18	_	_	NNP
20165	631	19	each	each	DT
20165	631	20	represent	represent	NN
20165	631	21	5	5	CD
20165	631	22	feet	foot	NNS
20165	631	23	.	.	.
20165	632	1	Then	then	RB
20165	632	2	in	in	IN
20165	632	3	the	the	DT
20165	632	4	first	first	JJ
20165	632	5	case	case	NN
20165	632	6	all	all	PDT
20165	632	7	the	the	DT
20165	632	8	verticals	vertical	NNS
20165	632	9	,	,	,
20165	632	10	as	as	IN
20165	632	11	_	_	NNP
20165	632	12	e	e	NNP
20165	632	13	_	_	NNP
20165	632	14	,	,	,
20165	632	15	_	_	NNP
20165	632	16	f	f	NNP
20165	632	17	_	_	NNP
20165	632	18	,	,	,
20165	632	19	_	_	NNP
20165	632	20	g	g	NNP
20165	632	21	_	_	NNP
20165	632	22	,	,	,
20165	632	23	_	_	NNP
20165	632	24	h	h	NNP
20165	632	25	_	_	NNP
20165	632	26	,	,	,
20165	632	27	drawn	draw	VBN
20165	632	28	between	between	IN
20165	632	29	_	_	NNP
20165	632	30	AO	AO	NNP
20165	632	31	_	_	NNP
20165	632	32	and	and	CC
20165	632	33	_	_	NNP
20165	632	34	BO	BO	NNP
20165	632	35	_	_	NNP
20165	632	36	represent	represent	VBP
20165	632	37	5	5	CD
20165	632	38	feet	foot	NNS
20165	632	39	,	,	,
20165	632	40	and	and	CC
20165	632	41	in	in	IN
20165	632	42	the	the	DT
20165	632	43	second	second	JJ
20165	632	44	case	case	NN
20165	632	45	all	all	PDT
20165	632	46	the	the	DT
20165	632	47	horizontals	horizontal	NNS
20165	632	48	_	_	NNP
20165	632	49	e	e	NNP
20165	632	50	_	_	NNP
20165	632	51	,	,	,
20165	632	52	_	_	NNP
20165	632	53	f	f	NNP
20165	632	54	_	_	NNP
20165	632	55	,	,	,
20165	632	56	_	_	NNP
20165	632	57	g	g	NNP
20165	632	58	_	_	NNP
20165	632	59	,	,	,
20165	632	60	_	_	NNP
20165	632	61	h	h	NNP
20165	632	62	_	_	NNP
20165	632	63	,	,	,
20165	632	64	drawn	draw	VBN
20165	632	65	between	between	IN
20165	632	66	_	_	NNP
20165	632	67	A·O	A·O	NNP
20165	632	68	_	_	NNP
20165	632	69	and	and	CC
20165	632	70	_	_	NNP
20165	632	71	B·O	B·O	NNP
20165	632	72	_	_	NNP
20165	632	73	also	also	RB
20165	632	74	represent	represent	VBP
20165	632	75	5	5	CD
20165	632	76	feet	foot	NNS
20165	632	77	each	each	DT
20165	632	78	.	.	.
20165	633	1	So	so	IN
20165	633	2	that	that	IN
20165	633	3	by	by	IN
20165	633	4	the	the	DT
20165	633	5	aid	aid	NN
20165	633	6	of	of	IN
20165	633	7	this	this	DT
20165	633	8	scale	scale	NN
20165	633	9	we	-PRON-	PRP
20165	633	10	can	can	MD
20165	633	11	give	give	VB
20165	633	12	the	the	DT
20165	633	13	exact	exact	JJ
20165	633	14	perspective	perspective	NN
20165	633	15	height	height	NN
20165	633	16	and	and	CC
20165	633	17	width	width	NN
20165	633	18	of	of	IN
20165	633	19	any	any	DT
20165	633	20	object	object	NN
20165	633	21	in	in	IN
20165	633	22	the	the	DT
20165	633	23	picture	picture	NN
20165	633	24	,	,	,
20165	633	25	however	however	RB
20165	633	26	far	far	RB
20165	633	27	it	-PRON-	PRP
20165	633	28	may	may	MD
20165	633	29	be	be	VB
20165	633	30	from	from	IN
20165	633	31	the	the	DT
20165	633	32	base	base	NN
20165	633	33	line	line	NN
20165	633	34	,	,	,
20165	633	35	for	for	IN
20165	633	36	of	of	IN
20165	633	37	course	course	NN
20165	633	38	we	-PRON-	PRP
20165	633	39	can	can	MD
20165	633	40	increase	increase	VB
20165	633	41	or	or	CC
20165	633	42	diminish	diminish	VB
20165	633	43	our	-PRON-	PRP$
20165	633	44	measurements	measurement	NNS
20165	633	45	at	at	IN
20165	633	46	_	_	NNP
20165	633	47	AB	AB	NNP
20165	633	48	_	_	NNP
20165	633	49	and	and	CC
20165	633	50	_	_	NNP
20165	633	51	A·B	A·B	NNP
20165	633	52	·	·	NFP
20165	633	53	_	_	XX
20165	633	54	to	to	IN
20165	633	55	whatever	whatever	WDT
20165	633	56	length	length	NN
20165	633	57	we	-PRON-	PRP
20165	633	58	require	require	VBP
20165	633	59	.	.	.
20165	634	1	As	as	IN
20165	634	2	it	-PRON-	PRP
20165	634	3	may	may	MD
20165	634	4	not	not	RB
20165	634	5	be	be	VB
20165	634	6	quite	quite	RB
20165	634	7	evident	evident	JJ
20165	634	8	at	at	IN
20165	634	9	first	first	RB
20165	634	10	that	that	IN
20165	634	11	the	the	DT
20165	634	12	points	point	NNS
20165	634	13	_	_	NNP
20165	634	14	O	O	NNP
20165	634	15	_	_	NNP
20165	634	16	may	may	MD
20165	634	17	be	be	VB
20165	634	18	taken	take	VBN
20165	634	19	at	at	IN
20165	634	20	random	random	JJ
20165	634	21	,	,	,
20165	634	22	the	the	DT
20165	634	23	following	follow	VBG
20165	634	24	figure	figure	NN
20165	634	25	will	will	MD
20165	634	26	prove	prove	VB
20165	634	27	it	-PRON-	PRP
20165	634	28	.	.	.
20165	635	1	XXVI	XXVI	NNP
20165	635	2	THE	the	DT
20165	635	3	VANISHING	vanishing	NN
20165	635	4	SCALE	scale	NN
20165	635	5	CAN	CAN	MD
20165	635	6	BE	be	VB
20165	635	7	DRAWN	draw	VBN
20165	635	8	TO	to	IN
20165	635	9	ANY	any	DT
20165	635	10	POINT	POINT	NNS
20165	635	11	ON	on	IN
20165	635	12	THE	the	DT
20165	635	13	HORIZON	horizon	NN
20165	635	14	From	from	IN
20165	635	15	_	_	NNP
20165	635	16	AB	AB	NNP
20165	635	17	_	_	NNP
20165	635	18	(	(	-LRB-
20165	635	19	Fig	Fig	NNP
20165	635	20	.	.	.
20165	636	1	77	77	CD
20165	636	2	)	)	-RRB-
20165	636	3	draw	draw	VBP
20165	636	4	_	_	NNP
20165	636	5	AO	AO	NNP
20165	636	6	_	_	NNP
20165	636	7	,	,	,
20165	636	8	_	_	NNP
20165	636	9	BO	BO	NNP
20165	636	10	_	_	NNP
20165	636	11	,	,	,
20165	636	12	thus	thus	RB
20165	636	13	forming	form	VBG
20165	636	14	the	the	DT
20165	636	15	scale	scale	NN
20165	636	16	,	,	,
20165	636	17	raise	raise	VB
20165	636	18	vertical	vertical	JJ
20165	636	19	_	_	NNP
20165	636	20	C	C	NNP
20165	636	21	_	_	NNP
20165	636	22	.	.	.
20165	637	1	Now	now	RB
20165	637	2	form	form	VB
20165	637	3	a	a	DT
20165	637	4	second	second	JJ
20165	637	5	scale	scale	NN
20165	637	6	from	from	IN
20165	637	7	_	_	NNP
20165	637	8	AB	AB	NNP
20165	637	9	_	_	NNP
20165	637	10	by	by	IN
20165	637	11	drawing	draw	VBG
20165	637	12	_	_	NNP
20165	637	13	AO	AO	NNP
20165	637	14	·	·	NFP
20165	637	15	BO	BO	NNP
20165	637	16	·	·	NFP
20165	637	17	_	_	NNP
20165	637	18	,	,	,
20165	637	19	and	and	CC
20165	637	20	therein	therein	RB
20165	637	21	raise	raise	VBP
20165	637	22	vertical	vertical	JJ
20165	637	23	_	_	NNP
20165	637	24	D	D	NNP
20165	637	25	_	_	NNP
20165	637	26	at	at	IN
20165	637	27	an	an	DT
20165	637	28	equal	equal	JJ
20165	637	29	distance	distance	NN
20165	637	30	from	from	IN
20165	637	31	the	the	DT
20165	637	32	base	base	NN
20165	637	33	.	.	.
20165	638	1	First	first	RB
20165	638	2	,	,	,
20165	638	3	then	then	RB
20165	638	4	,	,	,
20165	638	5	vertical	vertical	JJ
20165	638	6	_	_	NNP
20165	638	7	C	C	NNP
20165	638	8	_	_	NNP
20165	638	9	equals	equal	VBZ
20165	638	10	_	_	NNP
20165	638	11	AB	AB	NNP
20165	638	12	_	_	NNP
20165	638	13	,	,	,
20165	638	14	and	and	CC
20165	638	15	secondly	secondly	RB
20165	638	16	vertical	vertical	JJ
20165	638	17	_	_	NNP
20165	638	18	D	D	NNP
20165	638	19	_	_	NNP
20165	638	20	equals	equal	VBZ
20165	638	21	_	_	NNP
20165	638	22	AB	AB	NNP
20165	638	23	_	_	NNP
20165	638	24	,	,	,
20165	638	25	therefore	therefore	RB
20165	638	26	_	_	NNP
20165	638	27	C	C	NNP
20165	638	28	_	_	NNP
20165	638	29	equals	equal	VBZ
20165	638	30	_	_	NNP
20165	638	31	D	D	NNP
20165	638	32	_	_	NNP
20165	638	33	,	,	,
20165	638	34	so	so	IN
20165	638	35	that	that	IN
20165	638	36	either	either	DT
20165	638	37	of	of	IN
20165	638	38	these	these	DT
20165	638	39	scales	scale	NNS
20165	638	40	will	will	MD
20165	638	41	measure	measure	VB
20165	638	42	a	a	DT
20165	638	43	given	give	VBN
20165	638	44	height	height	NN
20165	638	45	at	at	IN
20165	638	46	a	a	DT
20165	638	47	given	give	VBN
20165	638	48	distance	distance	NN
20165	638	49	.	.	.
20165	639	1	[	[	-LRB-
20165	639	2	Illustration	illustration	NN
20165	639	3	:	:	:
20165	639	4	Fig	Fig	NNP
20165	639	5	.	.	.
20165	640	1	77	77	CD
20165	640	2	.	.	.
20165	640	3	]	]	-RRB-
20165	641	1	(	(	-LRB-
20165	641	2	See	see	VB
20165	641	3	axioms	axiom	NNS
20165	641	4	of	of	IN
20165	641	5	geometry	geometry	NN
20165	641	6	.	.	.
20165	641	7	)	)	-RRB-
20165	642	1	[	[	-LRB-
20165	642	2	Illustration	illustration	NN
20165	642	3	:	:	:
20165	642	4	Fig	Fig	NNP
20165	642	5	.	.	.
20165	643	1	79	79	CD
20165	643	2	.	.	.
20165	644	1	Schoolgirls	Schoolgirls	NNP
20165	644	2	.	.	.
20165	644	3	]	]	-RRB-
20165	645	1	[	[	-LRB-
20165	645	2	Illustration	illustration	NN
20165	645	3	:	:	:
20165	645	4	Fig	Fig	NNP
20165	645	5	.	.	.
20165	646	1	80	80	CD
20165	646	2	.	.	.
20165	647	1	Cavaliers	cavalier	NNS
20165	647	2	.	.	.
20165	647	3	]	]	-RRB-
20165	648	1	XXVII	XXVII	NNP
20165	648	2	APPLICATION	APPLICATION	NNP
20165	648	3	OF	of	IN
20165	648	4	VANISHING	VANISHING	NNP
20165	648	5	SCALES	scale	VBZ
20165	648	6	TO	to	IN
20165	648	7	DRAWING	draw	VBG
20165	648	8	FIGURES	figures	NN
20165	648	9	In	in	IN
20165	648	10	this	this	DT
20165	648	11	figure	figure	NN
20165	648	12	we	-PRON-	PRP
20165	648	13	have	have	VBP
20165	648	14	marked	mark	VBN
20165	648	15	off	off	RP
20165	648	16	on	on	IN
20165	648	17	a	a	DT
20165	648	18	level	level	NN
20165	648	19	plain	plain	JJ
20165	648	20	three	three	CD
20165	648	21	or	or	CC
20165	648	22	four	four	CD
20165	648	23	points	point	NNS
20165	648	24	_	_	NNP
20165	648	25	a	a	DT
20165	648	26	_	_	NNP
20165	648	27	,	,	,
20165	648	28	_	_	NNP
20165	648	29	b	b	NNP
20165	648	30	_	_	NNP
20165	648	31	,	,	,
20165	648	32	_	_	NNP
20165	648	33	c	c	NNP
20165	648	34	_	_	NNP
20165	648	35	,	,	,
20165	648	36	_	_	NNP
20165	648	37	d	d	NNP
20165	648	38	_	_	NNP
20165	648	39	,	,	,
20165	648	40	to	to	TO
20165	648	41	indicate	indicate	VB
20165	648	42	the	the	DT
20165	648	43	places	place	NNS
20165	648	44	where	where	WRB
20165	648	45	we	-PRON-	PRP
20165	648	46	wish	wish	VBP
20165	648	47	to	to	TO
20165	648	48	stand	stand	VB
20165	648	49	our	-PRON-	PRP$
20165	648	50	figures	figure	NNS
20165	648	51	.	.	.
20165	649	1	_	_	NNP
20165	649	2	AB	AB	NNP
20165	649	3	_	_	NNP
20165	649	4	represents	represent	VBZ
20165	649	5	their	-PRON-	PRP$
20165	649	6	average	average	JJ
20165	649	7	height	height	NN
20165	649	8	,	,	,
20165	649	9	so	so	RB
20165	649	10	we	-PRON-	PRP
20165	649	11	have	have	VBP
20165	649	12	made	make	VBN
20165	649	13	our	-PRON-	PRP$
20165	649	14	scale	scale	NN
20165	649	15	_	_	NNP
20165	649	16	AO	AO	NNP
20165	649	17	_	_	NNP
20165	649	18	,	,	,
20165	649	19	_	_	NNP
20165	649	20	BO	BO	NNP
20165	649	21	_	_	NNP
20165	649	22	,	,	,
20165	649	23	accordingly	accordingly	RB
20165	649	24	.	.	.
20165	650	1	From	from	IN
20165	650	2	each	each	DT
20165	650	3	point	point	NN
20165	650	4	marked	mark	VBN
20165	650	5	we	-PRON-	PRP
20165	650	6	draw	draw	VBP
20165	650	7	a	a	DT
20165	650	8	line	line	NN
20165	650	9	parallel	parallel	JJ
20165	650	10	to	to	IN
20165	650	11	the	the	DT
20165	650	12	base	base	NN
20165	650	13	till	till	IN
20165	650	14	it	-PRON-	PRP
20165	650	15	reaches	reach	VBZ
20165	650	16	the	the	DT
20165	650	17	scale	scale	NN
20165	650	18	.	.	.
20165	651	1	From	from	IN
20165	651	2	the	the	DT
20165	651	3	point	point	NN
20165	651	4	where	where	WRB
20165	651	5	it	-PRON-	PRP
20165	651	6	touches	touch	VBZ
20165	651	7	the	the	DT
20165	651	8	line	line	NN
20165	651	9	_	_	NNP
20165	651	10	AO	AO	NNP
20165	651	11	_	_	NNP
20165	651	12	,	,	,
20165	651	13	raise	raise	VB
20165	651	14	perpendicular	perpendicular	JJ
20165	651	15	as	as	IN
20165	651	16	_	_	NNP
20165	651	17	a	a	DT
20165	651	18	_	_	NNP
20165	651	19	,	,	,
20165	651	20	which	which	WDT
20165	651	21	gives	give	VBZ
20165	651	22	the	the	DT
20165	651	23	height	height	NN
20165	651	24	required	require	VBN
20165	651	25	at	at	IN
20165	651	26	that	that	DT
20165	651	27	distance	distance	NN
20165	651	28	,	,	,
20165	651	29	and	and	CC
20165	651	30	must	must	MD
20165	651	31	be	be	VB
20165	651	32	referred	refer	VBN
20165	651	33	back	back	RB
20165	651	34	to	to	IN
20165	651	35	the	the	DT
20165	651	36	figure	figure	NN
20165	651	37	itself	-PRON-	PRP
20165	651	38	.	.	.
20165	652	1	[	[	-LRB-
20165	652	2	Illustration	illustration	NN
20165	652	3	:	:	:
20165	652	4	Fig	Fig	NNP
20165	652	5	.	.	.
20165	653	1	78	78	CD
20165	653	2	.	.	.
20165	653	3	]	]	-RRB-
20165	654	1	XXVIII	XXVIII	NNP
20165	654	2	HOW	how	WRB
20165	654	3	TO	to	TO
20165	654	4	DETERMINE	determine	VB
20165	654	5	THE	the	DT
20165	654	6	HEIGHTS	height	NNS
20165	654	7	OF	of	IN
20165	654	8	FIGURES	figures	NN
20165	654	9	ON	on	IN
20165	654	10	A	a	DT
20165	654	11	LEVEL	level	NN
20165	654	12	PLANE	PLANE	VBN
20165	654	13	_	_	NNP
20165	654	14	First	First	NNP
20165	654	15	Case	Case	NNP
20165	654	16	.	.	.
20165	654	17	_	_	NNP
20165	654	18	This	this	DT
20165	654	19	is	be	VBZ
20165	654	20	but	but	CC
20165	654	21	a	a	DT
20165	654	22	repetition	repetition	NN
20165	654	23	of	of	IN
20165	654	24	the	the	DT
20165	654	25	previous	previous	JJ
20165	654	26	figure	figure	NN
20165	654	27	,	,	,
20165	654	28	excepting	except	VBG
20165	654	29	that	that	IN
20165	654	30	we	-PRON-	PRP
20165	654	31	have	have	VBP
20165	654	32	substituted	substitute	VBN
20165	654	33	these	these	DT
20165	654	34	schoolgirls	schoolgirl	NNS
20165	654	35	for	for	IN
20165	654	36	the	the	DT
20165	654	37	vertical	vertical	JJ
20165	654	38	lines	line	NNS
20165	654	39	.	.	.
20165	655	1	If	if	IN
20165	655	2	we	-PRON-	PRP
20165	655	3	wish	wish	VBP
20165	655	4	to	to	TO
20165	655	5	make	make	VB
20165	655	6	some	some	DT
20165	655	7	taller	tall	JJR
20165	655	8	than	than	IN
20165	655	9	the	the	DT
20165	655	10	others	other	NNS
20165	655	11	,	,	,
20165	655	12	and	and	CC
20165	655	13	some	some	DT
20165	655	14	shorter	shorter	RBR
20165	655	15	,	,	,
20165	655	16	we	-PRON-	PRP
20165	655	17	can	can	MD
20165	655	18	easily	easily	RB
20165	655	19	do	do	VB
20165	655	20	so	so	RB
20165	655	21	,	,	,
20165	655	22	as	as	IN
20165	655	23	must	must	MD
20165	655	24	be	be	VB
20165	655	25	evident	evident	JJ
20165	655	26	(	(	-LRB-
20165	655	27	see	see	VB
20165	655	28	Fig	Fig	NNP
20165	655	29	.	.	.
20165	656	1	79	79	CD
20165	656	2	)	)	-RRB-
20165	656	3	.	.	.
20165	657	1	Note	note	VB
20165	657	2	that	that	IN
20165	657	3	in	in	IN
20165	657	4	this	this	DT
20165	657	5	first	first	JJ
20165	657	6	case	case	NN
20165	657	7	the	the	DT
20165	657	8	scale	scale	NN
20165	657	9	is	be	VBZ
20165	657	10	below	below	IN
20165	657	11	the	the	DT
20165	657	12	horizon	horizon	NN
20165	657	13	,	,	,
20165	657	14	so	so	IN
20165	657	15	that	that	IN
20165	657	16	we	-PRON-	PRP
20165	657	17	see	see	VBP
20165	657	18	over	over	IN
20165	657	19	the	the	DT
20165	657	20	heads	head	NNS
20165	657	21	of	of	IN
20165	657	22	the	the	DT
20165	657	23	figures	figure	NNS
20165	657	24	,	,	,
20165	657	25	those	those	DT
20165	657	26	nearest	near	JJS
20165	657	27	to	to	IN
20165	657	28	us	-PRON-	PRP
20165	657	29	being	be	VBG
20165	657	30	the	the	DT
20165	657	31	lowest	low	JJS
20165	657	32	down	down	RP
20165	657	33	.	.	.
20165	658	1	That	that	DT
20165	658	2	is	be	VBZ
20165	658	3	to	to	TO
20165	658	4	say	say	VB
20165	658	5	,	,	,
20165	658	6	we	-PRON-	PRP
20165	658	7	are	be	VBP
20165	658	8	looking	look	VBG
20165	658	9	on	on	IN
20165	658	10	this	this	DT
20165	658	11	scene	scene	NN
20165	658	12	from	from	IN
20165	658	13	a	a	DT
20165	658	14	slightly	slightly	RB
20165	658	15	raised	raise	VBN
20165	658	16	platform	platform	NN
20165	658	17	.	.	.
20165	659	1	_	_	NNP
20165	659	2	Second	Second	NNP
20165	659	3	Case	Case	NNP
20165	659	4	.	.	.
20165	659	5	_	_	NNP
20165	659	6	To	to	TO
20165	659	7	draw	draw	VB
20165	659	8	figures	figure	NNS
20165	659	9	at	at	IN
20165	659	10	different	different	JJ
20165	659	11	distances	distance	NNS
20165	659	12	when	when	WRB
20165	659	13	their	-PRON-	PRP$
20165	659	14	heads	head	NNS
20165	659	15	are	be	VBP
20165	659	16	above	above	IN
20165	659	17	the	the	DT
20165	659	18	horizon	horizon	NN
20165	659	19	,	,	,
20165	659	20	or	or	CC
20165	659	21	as	as	IN
20165	659	22	they	-PRON-	PRP
20165	659	23	would	would	MD
20165	659	24	appear	appear	VB
20165	659	25	to	to	IN
20165	659	26	a	a	DT
20165	659	27	person	person	NN
20165	659	28	sitting	sit	VBG
20165	659	29	on	on	IN
20165	659	30	a	a	DT
20165	659	31	low	low	JJ
20165	659	32	seat	seat	NN
20165	659	33	.	.	.
20165	660	1	The	the	DT
20165	660	2	height	height	NN
20165	660	3	of	of	IN
20165	660	4	the	the	DT
20165	660	5	heads	head	NNS
20165	660	6	varies	vary	VBZ
20165	660	7	according	accord	VBG
20165	660	8	to	to	IN
20165	660	9	the	the	DT
20165	660	10	distance	distance	NN
20165	660	11	of	of	IN
20165	660	12	the	the	DT
20165	660	13	figures	figure	NNS
20165	660	14	(	(	-LRB-
20165	660	15	Fig	fig	NN
20165	660	16	.	.	.
20165	661	1	80	80	CD
20165	661	2	)	)	-RRB-
20165	661	3	.	.	.
20165	662	1	_	_	NNP
20165	662	2	Third	Third	NNP
20165	662	3	Case	Case	NNP
20165	662	4	.	.	.
20165	662	5	_	_	NNP
20165	662	6	How	how	WRB
20165	662	7	to	to	TO
20165	662	8	draw	draw	VB
20165	662	9	figures	figure	NNS
20165	662	10	when	when	WRB
20165	662	11	their	-PRON-	PRP$
20165	662	12	heads	head	NNS
20165	662	13	are	be	VBP
20165	662	14	about	about	IN
20165	662	15	the	the	DT
20165	662	16	height	height	NN
20165	662	17	of	of	IN
20165	662	18	the	the	DT
20165	662	19	horizon	horizon	NN
20165	662	20	,	,	,
20165	662	21	or	or	CC
20165	662	22	as	as	IN
20165	662	23	they	-PRON-	PRP
20165	662	24	appear	appear	VBP
20165	662	25	to	to	IN
20165	662	26	a	a	DT
20165	662	27	person	person	NN
20165	662	28	standing	stand	VBG
20165	662	29	on	on	IN
20165	662	30	the	the	DT
20165	662	31	same	same	JJ
20165	662	32	level	level	NN
20165	662	33	or	or	CC
20165	662	34	walking	walk	VBG
20165	662	35	among	among	IN
20165	662	36	them	-PRON-	PRP
20165	662	37	.	.	.
20165	663	1	In	in	IN
20165	663	2	this	this	DT
20165	663	3	case	case	NN
20165	663	4	the	the	DT
20165	663	5	heads	head	NNS
20165	663	6	or	or	CC
20165	663	7	the	the	DT
20165	663	8	eyes	eye	NNS
20165	663	9	are	be	VBP
20165	663	10	on	on	IN
20165	663	11	a	a	DT
20165	663	12	level	level	NN
20165	663	13	with	with	IN
20165	663	14	the	the	DT
20165	663	15	horizon	horizon	NN
20165	663	16	,	,	,
20165	663	17	and	and	CC
20165	663	18	we	-PRON-	PRP
20165	663	19	have	have	VBP
20165	663	20	little	little	JJ
20165	663	21	necessity	necessity	NN
20165	663	22	for	for	IN
20165	663	23	a	a	DT
20165	663	24	scale	scale	NN
20165	663	25	at	at	IN
20165	663	26	the	the	DT
20165	663	27	side	side	NN
20165	663	28	unless	unless	IN
20165	663	29	it	-PRON-	PRP
20165	663	30	is	be	VBZ
20165	663	31	for	for	IN
20165	663	32	the	the	DT
20165	663	33	purpose	purpose	NN
20165	663	34	of	of	IN
20165	663	35	ascertaining	ascertain	VBG
20165	663	36	or	or	CC
20165	663	37	marking	mark	VBG
20165	663	38	their	-PRON-	PRP$
20165	663	39	distances	distance	NNS
20165	663	40	from	from	IN
20165	663	41	the	the	DT
20165	663	42	base	base	NN
20165	663	43	line	line	NN
20165	663	44	,	,	,
20165	663	45	and	and	CC
20165	663	46	their	-PRON-	PRP$
20165	663	47	respective	respective	JJ
20165	663	48	heights	height	NNS
20165	663	49	,	,	,
20165	663	50	which	which	WDT
20165	663	51	of	of	IN
20165	663	52	course	course	NN
20165	663	53	vary	vary	VBP
20165	663	54	;	;	:
20165	663	55	so	so	CC
20165	663	56	in	in	IN
20165	663	57	all	all	DT
20165	663	58	cases	case	NNS
20165	663	59	allowance	allowance	NN
20165	663	60	must	must	MD
20165	663	61	be	be	VB
20165	663	62	made	make	VBN
20165	663	63	for	for	IN
20165	663	64	some	some	DT
20165	663	65	being	be	VBG
20165	663	66	taller	tall	JJR
20165	663	67	and	and	CC
20165	663	68	some	some	DT
20165	663	69	shorter	short	JJR
20165	663	70	than	than	IN
20165	663	71	the	the	DT
20165	663	72	scale	scale	NN
20165	663	73	measurement	measurement	NN
20165	663	74	.	.	.
20165	664	1	[	[	-LRB-
20165	664	2	Illustration	illustration	NN
20165	664	3	:	:	:
20165	664	4	Fig	Fig	NNP
20165	664	5	.	.	.
20165	665	1	81	81	CD
20165	665	2	.	.	.
20165	665	3	]	]	-RRB-
20165	666	1	XXIX	xxix	VB
20165	666	2	THE	the	DT
20165	666	3	HORIZON	horizon	NN
20165	666	4	ABOVE	above	IN
20165	666	5	THE	the	DT
20165	666	6	FIGURES	figures	NN
20165	666	7	In	in	IN
20165	666	8	this	this	DT
20165	666	9	example	example	NN
20165	666	10	from	from	IN
20165	666	11	De	De	NNP
20165	666	12	Hoogh	Hoogh	NNP
20165	666	13	the	the	DT
20165	666	14	doorway	doorway	NN
20165	666	15	to	to	IN
20165	666	16	the	the	DT
20165	666	17	left	left	NN
20165	666	18	is	be	VBZ
20165	666	19	higher	high	JJR
20165	666	20	up	up	RB
20165	666	21	than	than	IN
20165	666	22	the	the	DT
20165	666	23	figure	figure	NN
20165	666	24	of	of	IN
20165	666	25	the	the	DT
20165	666	26	lady	lady	NN
20165	666	27	,	,	,
20165	666	28	and	and	CC
20165	666	29	the	the	DT
20165	666	30	effect	effect	NN
20165	666	31	seems	seem	VBZ
20165	666	32	to	to	IN
20165	666	33	me	-PRON-	PRP
20165	666	34	more	more	RBR
20165	666	35	pleasing	pleasing	JJ
20165	666	36	and	and	CC
20165	666	37	natural	natural	JJ
20165	666	38	for	for	IN
20165	666	39	this	this	DT
20165	666	40	kind	kind	NN
20165	666	41	of	of	IN
20165	666	42	domestic	domestic	JJ
20165	666	43	subject	subject	NN
20165	666	44	.	.	.
20165	667	1	This	this	DT
20165	667	2	delightful	delightful	JJ
20165	667	3	painter	painter	NN
20165	667	4	was	be	VBD
20165	667	5	not	not	RB
20165	667	6	only	only	RB
20165	667	7	a	a	DT
20165	667	8	master	master	NN
20165	667	9	of	of	IN
20165	667	10	colour	colour	NN
20165	667	11	,	,	,
20165	667	12	of	of	IN
20165	667	13	sunlight	sunlight	NN
20165	667	14	effect	effect	NN
20165	667	15	,	,	,
20165	667	16	and	and	CC
20165	667	17	perfect	perfect	JJ
20165	667	18	composition	composition	NN
20165	667	19	,	,	,
20165	667	20	but	but	CC
20165	667	21	also	also	RB
20165	667	22	of	of	IN
20165	667	23	perspective	perspective	NN
20165	667	24	,	,	,
20165	667	25	and	and	CC
20165	667	26	thoroughly	thoroughly	RB
20165	667	27	understood	understand	VBD
20165	667	28	the	the	DT
20165	667	29	charm	charm	NN
20165	667	30	it	-PRON-	PRP
20165	667	31	gives	give	VBZ
20165	667	32	to	to	IN
20165	667	33	a	a	DT
20165	667	34	picture	picture	NN
20165	667	35	,	,	,
20165	667	36	when	when	WRB
20165	667	37	cunningly	cunningly	RB
20165	667	38	introduced	introduce	VBN
20165	667	39	,	,	,
20165	667	40	for	for	IN
20165	667	41	he	-PRON-	PRP
20165	667	42	makes	make	VBZ
20165	667	43	the	the	DT
20165	667	44	spectator	spectator	NN
20165	667	45	feel	feel	VB
20165	667	46	that	that	IN
20165	667	47	he	-PRON-	PRP
20165	667	48	can	can	MD
20165	667	49	walk	walk	VB
20165	667	50	along	along	IN
20165	667	51	his	-PRON-	PRP$
20165	667	52	passages	passage	NNS
20165	667	53	and	and	CC
20165	667	54	courtyards	courtyard	NNS
20165	667	55	.	.	.
20165	668	1	Note	note	VB
20165	668	2	that	that	IN
20165	668	3	he	-PRON-	PRP
20165	668	4	frequently	frequently	RB
20165	668	5	puts	put	VBZ
20165	668	6	the	the	DT
20165	668	7	point	point	NN
20165	668	8	of	of	IN
20165	668	9	sight	sight	NN
20165	668	10	quite	quite	RB
20165	668	11	at	at	IN
20165	668	12	the	the	DT
20165	668	13	side	side	NN
20165	668	14	of	of	IN
20165	668	15	his	-PRON-	PRP$
20165	668	16	canvas	canvas	NN
20165	668	17	,	,	,
20165	668	18	as	as	IN
20165	668	19	at	at	IN
20165	668	20	_	_	NNP
20165	668	21	S	S	NNP
20165	668	22	_	_	NNP
20165	668	23	,	,	,
20165	668	24	which	which	WDT
20165	668	25	gives	give	VBZ
20165	668	26	almost	almost	RB
20165	668	27	the	the	DT
20165	668	28	effect	effect	NN
20165	668	29	of	of	IN
20165	668	30	angular	angular	JJ
20165	668	31	perspective	perspective	NN
20165	668	32	whilst	whilst	IN
20165	668	33	it	-PRON-	PRP
20165	668	34	preserves	preserve	VBZ
20165	668	35	the	the	DT
20165	668	36	flatness	flatness	NN
20165	668	37	and	and	CC
20165	668	38	simplicity	simplicity	NN
20165	668	39	of	of	IN
20165	668	40	parallel	parallel	NN
20165	668	41	or	or	CC
20165	668	42	horizontal	horizontal	JJ
20165	668	43	perspective	perspective	NN
20165	668	44	.	.	.
20165	669	1	[	[	-LRB-
20165	669	2	Illustration	illustration	NN
20165	669	3	:	:	:
20165	669	4	Fig	Fig	NNP
20165	669	5	.	.	.
20165	670	1	82	82	CD
20165	670	2	.	.	.
20165	671	1	Courtyard	courtyard	NN
20165	671	2	by	by	IN
20165	671	3	De	De	NNP
20165	671	4	Hoogh	Hoogh	NNP
20165	671	5	.	.	.
20165	671	6	]	]	-RRB-
20165	672	1	XXX	XXX	NNP
20165	672	2	LANDSCAPE	LANDSCAPE	NNP
20165	672	3	PERSPECTIVE	perspective	NN
20165	672	4	In	in	IN
20165	672	5	an	an	DT
20165	672	6	extended	extended	JJ
20165	672	7	view	view	NN
20165	672	8	or	or	CC
20165	672	9	landscape	landscape	NN
20165	672	10	seen	see	VBN
20165	672	11	from	from	IN
20165	672	12	a	a	DT
20165	672	13	height	height	NN
20165	672	14	,	,	,
20165	672	15	we	-PRON-	PRP
20165	672	16	have	have	VBP
20165	672	17	to	to	TO
20165	672	18	consider	consider	VB
20165	672	19	the	the	DT
20165	672	20	perspective	perspective	JJ
20165	672	21	plane	plane	NN
20165	672	22	as	as	IN
20165	672	23	in	in	IN
20165	672	24	a	a	DT
20165	672	25	great	great	JJ
20165	672	26	measure	measure	NN
20165	672	27	lying	lie	VBG
20165	672	28	above	above	IN
20165	672	29	it	-PRON-	PRP
20165	672	30	,	,	,
20165	672	31	reaching	reach	VBG
20165	672	32	from	from	IN
20165	672	33	the	the	DT
20165	672	34	base	base	NN
20165	672	35	of	of	IN
20165	672	36	the	the	DT
20165	672	37	picture	picture	NN
20165	672	38	to	to	IN
20165	672	39	the	the	DT
20165	672	40	horizon	horizon	NN
20165	672	41	;	;	:
20165	672	42	but	but	CC
20165	672	43	of	of	IN
20165	672	44	course	course	NN
20165	672	45	pierced	pierce	VBN
20165	672	46	here	here	RB
20165	672	47	and	and	CC
20165	672	48	there	there	RB
20165	672	49	by	by	IN
20165	672	50	trees	tree	NNS
20165	672	51	,	,	,
20165	672	52	mountains	mountain	NNS
20165	672	53	,	,	,
20165	672	54	buildings	building	NNS
20165	672	55	,	,	,
20165	672	56	&	&	CC
20165	672	57	c.	c.	NNP
20165	672	58	As	as	IN
20165	672	59	a	a	DT
20165	672	60	rule	rule	NN
20165	672	61	in	in	IN
20165	672	62	such	such	JJ
20165	672	63	cases	case	NNS
20165	672	64	,	,	,
20165	672	65	we	-PRON-	PRP
20165	672	66	copy	copy	VBP
20165	672	67	our	-PRON-	PRP$
20165	672	68	perspective	perspective	NN
20165	672	69	from	from	IN
20165	672	70	nature	nature	NN
20165	672	71	,	,	,
20165	672	72	and	and	CC
20165	672	73	do	do	VBP
20165	672	74	not	not	RB
20165	672	75	trouble	trouble	VB
20165	672	76	ourselves	-PRON-	PRP
20165	672	77	much	much	RB
20165	672	78	about	about	IN
20165	672	79	mathematical	mathematical	JJ
20165	672	80	rules	rule	NNS
20165	672	81	.	.	.
20165	673	1	It	-PRON-	PRP
20165	673	2	is	be	VBZ
20165	673	3	as	as	RB
20165	673	4	well	well	RB
20165	673	5	,	,	,
20165	673	6	however	however	RB
20165	673	7	,	,	,
20165	673	8	to	to	TO
20165	673	9	know	know	VB
20165	673	10	them	-PRON-	PRP
20165	673	11	,	,	,
20165	673	12	so	so	IN
20165	673	13	that	that	IN
20165	673	14	we	-PRON-	PRP
20165	673	15	may	may	MD
20165	673	16	feel	feel	VB
20165	673	17	sure	sure	JJ
20165	673	18	we	-PRON-	PRP
20165	673	19	are	be	VBP
20165	673	20	right	right	JJ
20165	673	21	,	,	,
20165	673	22	as	as	IN
20165	673	23	this	this	DT
20165	673	24	gives	give	VBZ
20165	673	25	certainty	certainty	NN
20165	673	26	to	to	IN
20165	673	27	our	-PRON-	PRP$
20165	673	28	touch	touch	NN
20165	673	29	and	and	CC
20165	673	30	enables	enable	VBZ
20165	673	31	us	-PRON-	PRP
20165	673	32	to	to	TO
20165	673	33	work	work	VB
20165	673	34	with	with	IN
20165	673	35	freedom	freedom	NN
20165	673	36	.	.	.
20165	674	1	Nor	nor	CC
20165	674	2	must	must	MD
20165	674	3	we	-PRON-	PRP
20165	674	4	,	,	,
20165	674	5	when	when	WRB
20165	674	6	painting	paint	VBG
20165	674	7	from	from	IN
20165	674	8	nature	nature	NN
20165	674	9	,	,	,
20165	674	10	forget	forget	VB
20165	674	11	to	to	TO
20165	674	12	take	take	VB
20165	674	13	into	into	IN
20165	674	14	account	account	NN
20165	674	15	the	the	DT
20165	674	16	effects	effect	NNS
20165	674	17	of	of	IN
20165	674	18	atmosphere	atmosphere	NN
20165	674	19	and	and	CC
20165	674	20	the	the	DT
20165	674	21	various	various	JJ
20165	674	22	tones	tone	NNS
20165	674	23	of	of	IN
20165	674	24	the	the	DT
20165	674	25	different	different	JJ
20165	674	26	planes	plane	NNS
20165	674	27	of	of	IN
20165	674	28	distance	distance	NN
20165	674	29	,	,	,
20165	674	30	for	for	IN
20165	674	31	this	this	DT
20165	674	32	makes	make	VBZ
20165	674	33	much	much	JJ
20165	674	34	of	of	IN
20165	674	35	the	the	DT
20165	674	36	difference	difference	NN
20165	674	37	between	between	IN
20165	674	38	a	a	DT
20165	674	39	good	good	JJ
20165	674	40	picture	picture	NN
20165	674	41	and	and	CC
20165	674	42	a	a	DT
20165	674	43	bad	bad	JJ
20165	674	44	one	one	NN
20165	674	45	;	;	:
20165	674	46	being	be	VBG
20165	674	47	a	a	DT
20165	674	48	more	more	RBR
20165	674	49	subtle	subtle	JJ
20165	674	50	quality	quality	NN
20165	674	51	,	,	,
20165	674	52	it	-PRON-	PRP
20165	674	53	requires	require	VBZ
20165	674	54	a	a	DT
20165	674	55	keener	keen	JJR
20165	674	56	artistic	artistic	JJ
20165	674	57	sense	sense	NN
20165	674	58	to	to	TO
20165	674	59	discover	discover	VB
20165	674	60	and	and	CC
20165	674	61	depict	depict	VB
20165	674	62	it	-PRON-	PRP
20165	674	63	.	.	.
20165	675	1	(	(	-LRB-
20165	675	2	See	see	VB
20165	675	3	Figs	fig	NNS
20165	675	4	.	.	.
20165	676	1	95	95	CD
20165	676	2	and	and	CC
20165	676	3	103	103	CD
20165	676	4	.	.	.
20165	676	5	)	)	-RRB-
20165	677	1	If	if	IN
20165	677	2	the	the	DT
20165	677	3	landscape	landscape	NN
20165	677	4	painter	painter	NN
20165	677	5	wishes	wish	VBZ
20165	677	6	to	to	TO
20165	677	7	test	test	VB
20165	677	8	his	-PRON-	PRP$
20165	677	9	knowledge	knowledge	NN
20165	677	10	of	of	IN
20165	677	11	perspective	perspective	NN
20165	677	12	,	,	,
20165	677	13	let	let	VB
20165	677	14	him	-PRON-	PRP
20165	677	15	dissect	dissect	VB
20165	677	16	and	and	CC
20165	677	17	work	work	VB
20165	677	18	out	out	RP
20165	677	19	one	one	CD
20165	677	20	of	of	IN
20165	677	21	Turner	Turner	NNP
20165	677	22	's	's	POS
20165	677	23	pictures	picture	NNS
20165	677	24	,	,	,
20165	677	25	or	or	CC
20165	677	26	better	well	RBR
20165	677	27	still	still	RB
20165	677	28	,	,	,
20165	677	29	put	put	VB
20165	677	30	his	-PRON-	PRP$
20165	677	31	own	own	JJ
20165	677	32	sketch	sketch	NN
20165	677	33	from	from	IN
20165	677	34	nature	nature	NN
20165	677	35	to	to	IN
20165	677	36	the	the	DT
20165	677	37	same	same	JJ
20165	677	38	test	test	NN
20165	677	39	.	.	.
20165	678	1	XXXI	xxxi	NN
20165	678	2	FIGURES	figures	NN
20165	678	3	OF	of	IN
20165	678	4	DIFFERENT	DIFFERENT	NNP
20165	678	5	HEIGHTS	height	NNS
20165	678	6	THE	the	DT
20165	678	7	CHESSBOARD	chessboard	NN
20165	678	8	In	in	IN
20165	678	9	this	this	DT
20165	678	10	figure	figure	NN
20165	678	11	the	the	DT
20165	678	12	same	same	JJ
20165	678	13	principle	principle	NN
20165	678	14	is	be	VBZ
20165	678	15	applied	apply	VBN
20165	678	16	as	as	IN
20165	678	17	in	in	IN
20165	678	18	the	the	DT
20165	678	19	previous	previous	JJ
20165	678	20	one	one	NN
20165	678	21	,	,	,
20165	678	22	but	but	CC
20165	678	23	the	the	DT
20165	678	24	chessmen	chessman	NNS
20165	678	25	being	be	VBG
20165	678	26	of	of	IN
20165	678	27	different	different	JJ
20165	678	28	heights	height	NNS
20165	678	29	we	-PRON-	PRP
20165	678	30	have	have	VBP
20165	678	31	to	to	TO
20165	678	32	arrange	arrange	VB
20165	678	33	the	the	DT
20165	678	34	scale	scale	NN
20165	678	35	accordingly	accordingly	RB
20165	678	36	.	.	.
20165	679	1	First	first	RB
20165	679	2	ascertain	ascertain	VB
20165	679	3	the	the	DT
20165	679	4	exact	exact	JJ
20165	679	5	height	height	NN
20165	679	6	of	of	IN
20165	679	7	each	each	DT
20165	679	8	piece	piece	NN
20165	679	9	,	,	,
20165	679	10	as	as	IN
20165	679	11	_	_	NNP
20165	679	12	Q	Q	NNP
20165	679	13	_	_	NNP
20165	679	14	,	,	,
20165	679	15	_	_	NNP
20165	679	16	K	K	NNP
20165	679	17	_	_	NNP
20165	679	18	,	,	,
20165	679	19	_	_	NNP
20165	679	20	B	B	NNP
20165	679	21	_	_	NNP
20165	679	22	,	,	,
20165	679	23	which	which	WDT
20165	679	24	represent	represent	VBP
20165	679	25	the	the	DT
20165	679	26	queen	queen	NN
20165	679	27	,	,	,
20165	679	28	king	king	NN
20165	679	29	,	,	,
20165	679	30	bishop	bishop	NNP
20165	679	31	,	,	,
20165	679	32	&	&	CC
20165	679	33	c.	c.	NNP
20165	679	34	Refer	refer	VBP
20165	679	35	these	these	DT
20165	679	36	dimensions	dimension	NNS
20165	679	37	to	to	IN
20165	679	38	the	the	DT
20165	679	39	scale	scale	NN
20165	679	40	,	,	,
20165	679	41	as	as	IN
20165	679	42	shown	show	VBN
20165	679	43	at	at	IN
20165	679	44	_	_	NNP
20165	679	45	QKB	QKB	NNP
20165	679	46	_	_	NNP
20165	679	47	,	,	,
20165	679	48	which	which	WDT
20165	679	49	will	will	MD
20165	679	50	give	give	VB
20165	679	51	us	-PRON-	PRP
20165	679	52	the	the	DT
20165	679	53	perspective	perspective	JJ
20165	679	54	measurement	measurement	NN
20165	679	55	of	of	IN
20165	679	56	each	each	DT
20165	679	57	piece	piece	NN
20165	679	58	according	accord	VBG
20165	679	59	to	to	IN
20165	679	60	the	the	DT
20165	679	61	square	square	NN
20165	679	62	on	on	IN
20165	679	63	which	which	WDT
20165	679	64	it	-PRON-	PRP
20165	679	65	is	be	VBZ
20165	679	66	placed	place	VBN
20165	679	67	.	.	.
20165	680	1	[	[	-LRB-
20165	680	2	Illustration	illustration	NN
20165	680	3	:	:	:
20165	680	4	Fig	Fig	NNP
20165	680	5	.	.	.
20165	681	1	83	83	CD
20165	681	2	.	.	.
20165	682	1	Chessboard	chessboard	NN
20165	682	2	and	and	CC
20165	682	3	Men	Men	NNPS
20165	682	4	.	.	.
20165	682	5	]	]	-RRB-
20165	683	1	This	this	DT
20165	683	2	is	be	VBZ
20165	683	3	shown	show	VBN
20165	683	4	in	in	IN
20165	683	5	the	the	DT
20165	683	6	above	above	JJ
20165	683	7	drawing	drawing	NN
20165	683	8	(	(	-LRB-
20165	683	9	Fig	fig	NN
20165	683	10	.	.	.
20165	684	1	83	83	CD
20165	684	2	)	)	-RRB-
20165	684	3	in	in	IN
20165	684	4	the	the	DT
20165	684	5	case	case	NN
20165	684	6	of	of	IN
20165	684	7	the	the	DT
20165	684	8	white	white	NNP
20165	684	9	queen	queen	NNP
20165	684	10	and	and	CC
20165	684	11	the	the	DT
20165	684	12	black	black	JJ
20165	684	13	queen	queen	NN
20165	684	14	,	,	,
20165	684	15	&	&	CC
20165	684	16	c.	c.	NNP
20165	684	17	The	the	DT
20165	684	18	castle	castle	NN
20165	684	19	,	,	,
20165	684	20	the	the	DT
20165	684	21	knight	knight	NN
20165	684	22	,	,	,
20165	684	23	and	and	CC
20165	684	24	the	the	DT
20165	684	25	pawn	pawn	NN
20165	684	26	being	be	VBG
20165	684	27	about	about	IN
20165	684	28	the	the	DT
20165	684	29	same	same	JJ
20165	684	30	height	height	NN
20165	684	31	are	be	VBP
20165	684	32	measured	measure	VBN
20165	684	33	from	from	IN
20165	684	34	the	the	DT
20165	684	35	fourth	fourth	JJ
20165	684	36	line	line	NN
20165	684	37	of	of	IN
20165	684	38	the	the	DT
20165	684	39	scale	scale	NN
20165	684	40	marked	mark	VBN
20165	684	41	_	_	NNP
20165	684	42	C	C	NNP
20165	684	43	_	_	NNP
20165	684	44	.	.	.
20165	685	1	[	[	-LRB-
20165	685	2	Illustration	illustration	NN
20165	685	3	:	:	:
20165	685	4	Fig	Fig	NNP
20165	685	5	.	.	.
20165	686	1	84	84	CD
20165	686	2	.	.	.
20165	686	3	]	]	-RRB-
20165	687	1	XXXII	XXXII	NNP
20165	687	2	APPLICATION	application	NN
20165	687	3	OF	of	IN
20165	687	4	THE	the	DT
20165	687	5	VANISHING	vanishing	NN
20165	687	6	SCALE	SCALE	NNP
20165	687	7	TO	to	IN
20165	687	8	DRAWING	draw	VBG
20165	687	9	FIGURES	FIGURES	NNP
20165	687	10	AT	at	IN
20165	687	11	AN	an	DT
20165	687	12	ANGLE	ANGLE	NNS
20165	687	13	WHEN	when	WRB
20165	687	14	THEIR	their	FW
20165	687	15	VANISHING	vanish	VBN
20165	687	16	POINTS	point	NNS
20165	687	17	ARE	are	VBP
20165	687	18	INACCESSIBLE	inaccessible	NN
20165	687	19	OR	or	CC
20165	687	20	OUTSIDE	outside	IN
20165	687	21	THE	the	DT
20165	687	22	PICTURE	picture	NN
20165	687	23	This	this	DT
20165	687	24	is	be	VBZ
20165	687	25	exemplified	exemplify	VBN
20165	687	26	in	in	IN
20165	687	27	the	the	DT
20165	687	28	drawing	drawing	NN
20165	687	29	of	of	IN
20165	687	30	a	a	DT
20165	687	31	fence	fence	NN
20165	687	32	(	(	-LRB-
20165	687	33	Fig	fig	NN
20165	687	34	.	.	.
20165	688	1	84	84	CD
20165	688	2	)	)	-RRB-
20165	688	3	.	.	.
20165	689	1	Form	form	NN
20165	689	2	scale	scale	NN
20165	689	3	_	_	NNP
20165	689	4	aS	aS	NNP
20165	689	5	_	_	NNP
20165	689	6	,	,	,
20165	689	7	_	_	NNP
20165	689	8	bS	bS	NNP
20165	689	9	_	_	NNP
20165	689	10	,	,	,
20165	689	11	in	in	IN
20165	689	12	accordance	accordance	NN
20165	689	13	with	with	IN
20165	689	14	the	the	DT
20165	689	15	height	height	NN
20165	689	16	of	of	IN
20165	689	17	the	the	DT
20165	689	18	fence	fence	NN
20165	689	19	or	or	CC
20165	689	20	wall	wall	NN
20165	689	21	to	to	TO
20165	689	22	be	be	VB
20165	689	23	depicted	depict	VBN
20165	689	24	.	.	.
20165	690	1	Let	let	VB
20165	690	2	_	_	NNP
20165	690	3	ao	ao	NNP
20165	690	4	_	_	NNP
20165	690	5	represent	represent	VB
20165	690	6	the	the	DT
20165	690	7	direction	direction	NN
20165	690	8	or	or	CC
20165	690	9	angle	angle	NN
20165	690	10	at	at	IN
20165	690	11	which	which	WDT
20165	690	12	it	-PRON-	PRP
20165	690	13	is	be	VBZ
20165	690	14	placed	place	VBN
20165	690	15	,	,	,
20165	690	16	draw	draw	VB
20165	690	17	_	_	NNP
20165	690	18	od	od	NNP
20165	690	19	_	_	NNP
20165	690	20	to	to	TO
20165	690	21	meet	meet	VB
20165	690	22	the	the	DT
20165	690	23	scale	scale	NN
20165	690	24	at	at	IN
20165	690	25	_	_	NNP
20165	690	26	d	d	NNP
20165	690	27	_	_	NNP
20165	690	28	,	,	,
20165	690	29	at	at	IN
20165	690	30	_	_	NNP
20165	690	31	d	d	NNP
20165	690	32	_	_	NNP
20165	690	33	raise	raise	VBP
20165	690	34	vertical	vertical	JJ
20165	690	35	_	_	NNP
20165	690	36	dc	dc	NNP
20165	690	37	_	_	NNP
20165	690	38	,	,	,
20165	690	39	which	which	WDT
20165	690	40	gives	give	VBZ
20165	690	41	the	the	DT
20165	690	42	height	height	NN
20165	690	43	of	of	IN
20165	690	44	the	the	DT
20165	690	45	fence	fence	NN
20165	690	46	at	at	IN
20165	690	47	_	_	NNP
20165	690	48	oo	oo	NNP
20165	690	49	·	·	NFP
20165	690	50	_	_	NNP
20165	690	51	.	.	.
20165	691	1	Draw	draw	NN
20165	691	2	lines	line	NNS
20165	691	3	_	_	IN
20165	691	4	bo	bo	NNP
20165	691	5	·	·	NFP
20165	691	6	_	_	NNP
20165	691	7	,	,	,
20165	691	8	_	_	NNP
20165	691	9	eo	eo	NNP
20165	691	10	_	_	NNP
20165	691	11	,	,	,
20165	691	12	_	_	NNP
20165	691	13	ao	ao	NNP
20165	691	14	_	_	NNP
20165	691	15	,	,	,
20165	691	16	&	&	CC
20165	691	17	c.	c.	NNP
20165	691	18	,	,	,
20165	691	19	and	and	CC
20165	691	20	it	-PRON-	PRP
20165	691	21	will	will	MD
20165	691	22	be	be	VB
20165	691	23	found	find	VBN
20165	691	24	that	that	IN
20165	691	25	all	all	PDT
20165	691	26	these	these	DT
20165	691	27	lines	line	NNS
20165	691	28	if	if	IN
20165	691	29	produced	produce	VBN
20165	691	30	will	will	MD
20165	691	31	meet	meet	VB
20165	691	32	at	at	IN
20165	691	33	the	the	DT
20165	691	34	same	same	JJ
20165	691	35	point	point	NN
20165	691	36	on	on	IN
20165	691	37	the	the	DT
20165	691	38	horizon	horizon	NN
20165	691	39	.	.	.
20165	692	1	To	to	TO
20165	692	2	divide	divide	VB
20165	692	3	the	the	DT
20165	692	4	fence	fence	NN
20165	692	5	into	into	IN
20165	692	6	spaces	space	NNS
20165	692	7	,	,	,
20165	692	8	divide	divide	VB
20165	692	9	base	base	NN
20165	692	10	line	line	NN
20165	692	11	_	_	NNP
20165	692	12	af	af	NNP
20165	692	13	_	_	NNP
20165	692	14	as	as	IN
20165	692	15	required	require	VBN
20165	692	16	and	and	CC
20165	692	17	proceed	proceed	VBP
20165	692	18	as	as	RB
20165	692	19	already	already	RB
20165	692	20	shown	show	VBN
20165	692	21	.	.	.
20165	693	1	XXXIII	XXXIII	NNP
20165	693	2	THE	the	DT
20165	693	3	REDUCED	REDUCED	NNP
20165	693	4	DISTANCE	DISTANCE	NNP
20165	693	5	.	.	.
20165	694	1	HOW	how	WRB
20165	694	2	TO	to	TO
20165	694	3	PROCEED	proceed	VB
20165	694	4	WHEN	when	WRB
20165	694	5	THE	the	DT
20165	694	6	POINT	POINT	NNS
20165	694	7	OF	of	IN
20165	694	8	DISTANCE	distance	NN
20165	694	9	IS	be	VBZ
20165	694	10	INACCESSIBLE	INACCESSIBLE	NNP
20165	694	11	It	-PRON-	PRP
20165	694	12	has	have	VBZ
20165	694	13	already	already	RB
20165	694	14	been	be	VBN
20165	694	15	shown	show	VBN
20165	694	16	that	that	IN
20165	694	17	too	too	RB
20165	694	18	near	near	IN
20165	694	19	a	a	DT
20165	694	20	point	point	NN
20165	694	21	of	of	IN
20165	694	22	distance	distance	NN
20165	694	23	is	be	VBZ
20165	694	24	objectionable	objectionable	JJ
20165	694	25	on	on	IN
20165	694	26	account	account	NN
20165	694	27	of	of	IN
20165	694	28	the	the	DT
20165	694	29	distortion	distortion	NN
20165	694	30	and	and	CC
20165	694	31	disproportion	disproportion	NN
20165	694	32	resulting	result	VBG
20165	694	33	from	from	IN
20165	694	34	it	-PRON-	PRP
20165	694	35	.	.	.
20165	695	1	At	at	IN
20165	695	2	the	the	DT
20165	695	3	same	same	JJ
20165	695	4	time	time	NN
20165	695	5	,	,	,
20165	695	6	the	the	DT
20165	695	7	long	long	JJ
20165	695	8	distance	distance	NN
20165	695	9	-	-	HYPH
20165	695	10	point	point	NN
20165	695	11	must	must	MD
20165	695	12	be	be	VB
20165	695	13	some	some	DT
20165	695	14	way	way	NN
20165	695	15	out	out	IN
20165	695	16	of	of	IN
20165	695	17	the	the	DT
20165	695	18	picture	picture	NN
20165	695	19	and	and	CC
20165	695	20	therefore	therefore	RB
20165	695	21	inconvenient	inconvenient	JJ
20165	695	22	.	.	.
20165	696	1	The	the	DT
20165	696	2	object	object	NN
20165	696	3	of	of	IN
20165	696	4	the	the	DT
20165	696	5	reduced	reduce	VBN
20165	696	6	distance	distance	NN
20165	696	7	is	be	VBZ
20165	696	8	to	to	TO
20165	696	9	bring	bring	VB
20165	696	10	that	that	DT
20165	696	11	point	point	NN
20165	696	12	within	within	IN
20165	696	13	the	the	DT
20165	696	14	picture	picture	NN
20165	696	15	.	.	.
20165	697	1	[	[	-LRB-
20165	697	2	Illustration	illustration	NN
20165	697	3	:	:	:
20165	697	4	Fig	Fig	NNP
20165	697	5	.	.	.
20165	698	1	85	85	CD
20165	698	2	.	.	.
20165	698	3	]	]	-RRB-
20165	699	1	In	in	IN
20165	699	2	Fig	Fig	NNP
20165	699	3	.	.	.
20165	700	1	85	85	CD
20165	700	2	we	-PRON-	PRP
20165	700	3	have	have	VBP
20165	700	4	made	make	VBN
20165	700	5	the	the	DT
20165	700	6	distance	distance	NN
20165	700	7	nearly	nearly	RB
20165	700	8	twice	twice	PDT
20165	700	9	the	the	DT
20165	700	10	length	length	NN
20165	700	11	of	of	IN
20165	700	12	the	the	DT
20165	700	13	base	base	NN
20165	700	14	of	of	IN
20165	700	15	the	the	DT
20165	700	16	picture	picture	NN
20165	700	17	,	,	,
20165	700	18	and	and	CC
20165	700	19	consequently	consequently	RB
20165	700	20	a	a	DT
20165	700	21	long	long	JJ
20165	700	22	way	way	NN
20165	700	23	out	out	IN
20165	700	24	of	of	IN
20165	700	25	it	-PRON-	PRP
20165	700	26	.	.	.
20165	701	1	Draw	Draw	NNP
20165	701	2	_	_	NNP
20165	701	3	Sa	Sa	NNP
20165	701	4	_	_	NNP
20165	701	5	,	,	,
20165	701	6	_	_	NNP
20165	701	7	Sb	Sb	NNP
20165	701	8	_	_	NNP
20165	701	9	,	,	,
20165	701	10	and	and	CC
20165	701	11	from	from	IN
20165	701	12	_	_	NNP
20165	701	13	a	a	DT
20165	701	14	_	_	NNP
20165	701	15	draw	draw	NN
20165	701	16	_	_	NNP
20165	701	17	aD	aD	NNP
20165	701	18	_	_	NNP
20165	701	19	to	to	TO
20165	701	20	point	point	NN
20165	701	21	of	of	IN
20165	701	22	distance	distance	NN
20165	701	23	,	,	,
20165	701	24	which	which	WDT
20165	701	25	cuts	cut	VBZ
20165	701	26	_	_	NNP
20165	701	27	Sb	Sb	NNP
20165	701	28	_	_	NNP
20165	701	29	at	at	IN
20165	701	30	_	_	NNP
20165	701	31	o	o	XX
20165	701	32	_	_	NNP
20165	701	33	,	,	,
20165	701	34	and	and	CC
20165	701	35	determines	determine	VBZ
20165	701	36	the	the	DT
20165	701	37	depth	depth	NN
20165	701	38	of	of	IN
20165	701	39	the	the	DT
20165	701	40	square	square	JJ
20165	701	41	_	_	NNP
20165	701	42	acob	acob	NNP
20165	701	43	_	_	NNP
20165	701	44	.	.	.
20165	702	1	But	but	CC
20165	702	2	we	-PRON-	PRP
20165	702	3	can	can	MD
20165	702	4	find	find	VB
20165	702	5	that	that	DT
20165	702	6	same	same	JJ
20165	702	7	point	point	NN
20165	702	8	if	if	IN
20165	702	9	we	-PRON-	PRP
20165	702	10	take	take	VBP
20165	702	11	half	half	PDT
20165	702	12	the	the	DT
20165	702	13	base	base	NN
20165	702	14	and	and	CC
20165	702	15	draw	draw	VB
20165	702	16	a	a	DT
20165	702	17	line	line	NN
20165	702	18	from	from	IN
20165	702	19	½	½	JJ
20165	702	20	base	base	NN
20165	702	21	to	to	IN
20165	702	22	½	½	JJ
20165	702	23	distance	distance	NN
20165	702	24	.	.	.
20165	703	1	But	but	CC
20165	703	2	even	even	RB
20165	703	3	this	this	DT
20165	703	4	½	½	JJ
20165	703	5	distance	distance	NN
20165	703	6	-	-	HYPH
20165	703	7	point	point	NN
20165	703	8	does	do	VBZ
20165	703	9	not	not	RB
20165	703	10	come	come	VB
20165	703	11	inside	inside	IN
20165	703	12	the	the	DT
20165	703	13	picture	picture	NN
20165	703	14	,	,	,
20165	703	15	so	so	RB
20165	703	16	we	-PRON-	PRP
20165	703	17	take	take	VBP
20165	703	18	a	a	DT
20165	703	19	fourth	fourth	JJ
20165	703	20	of	of	IN
20165	703	21	the	the	DT
20165	703	22	base	base	NN
20165	703	23	and	and	CC
20165	703	24	a	a	DT
20165	703	25	fourth	fourth	JJ
20165	703	26	of	of	IN
20165	703	27	the	the	DT
20165	703	28	distance	distance	NN
20165	703	29	and	and	CC
20165	703	30	draw	draw	VB
20165	703	31	a	a	DT
20165	703	32	line	line	NN
20165	703	33	from	from	IN
20165	703	34	¼	¼	JJ
20165	703	35	base	base	NN
20165	703	36	to	to	IN
20165	703	37	¼	¼	NNP
20165	703	38	distance	distance	NN
20165	703	39	.	.	.
20165	704	1	We	-PRON-	PRP
20165	704	2	shall	shall	MD
20165	704	3	find	find	VB
20165	704	4	that	that	IN
20165	704	5	it	-PRON-	PRP
20165	704	6	passes	pass	VBZ
20165	704	7	precisely	precisely	RB
20165	704	8	through	through	IN
20165	704	9	the	the	DT
20165	704	10	same	same	JJ
20165	704	11	point	point	NN
20165	704	12	_	_	NNP
20165	704	13	o	o	XX
20165	704	14	_	_	NNP
20165	704	15	as	as	IN
20165	704	16	the	the	DT
20165	704	17	other	other	JJ
20165	704	18	lines	line	NNS
20165	704	19	_	_	NNP
20165	704	20	aD	aD	NNP
20165	704	21	_	_	NNP
20165	704	22	,	,	,
20165	704	23	&	&	CC
20165	704	24	c.	c.	NNP
20165	704	25	We	-PRON-	PRP
20165	704	26	are	be	VBP
20165	704	27	thus	thus	RB
20165	704	28	able	able	JJ
20165	704	29	to	to	TO
20165	704	30	find	find	VB
20165	704	31	the	the	DT
20165	704	32	required	require	VBN
20165	704	33	point	point	NN
20165	704	34	_	_	NNP
20165	704	35	o	o	XX
20165	704	36	_	_	NNP
20165	704	37	without	without	IN
20165	704	38	going	go	VBG
20165	704	39	outside	outside	IN
20165	704	40	the	the	DT
20165	704	41	picture	picture	NN
20165	704	42	.	.	.
20165	705	1	Of	of	RB
20165	705	2	course	course	RB
20165	705	3	we	-PRON-	PRP
20165	705	4	could	could	MD
20165	705	5	in	in	IN
20165	705	6	the	the	DT
20165	705	7	same	same	JJ
20165	705	8	way	way	NN
20165	705	9	take	take	VB
20165	705	10	an	an	DT
20165	705	11	8th	8th	JJ
20165	705	12	or	or	CC
20165	705	13	even	even	RB
20165	705	14	a	a	DT
20165	705	15	16th	16th	JJ
20165	705	16	distance	distance	NN
20165	705	17	,	,	,
20165	705	18	but	but	CC
20165	705	19	the	the	DT
20165	705	20	great	great	JJ
20165	705	21	use	use	NN
20165	705	22	of	of	IN
20165	705	23	this	this	DT
20165	705	24	reduced	reduce	VBN
20165	705	25	distance	distance	NN
20165	705	26	,	,	,
20165	705	27	in	in	IN
20165	705	28	addition	addition	NN
20165	705	29	to	to	IN
20165	705	30	the	the	DT
20165	705	31	above	above	JJ
20165	705	32	,	,	,
20165	705	33	is	be	VBZ
20165	705	34	that	that	IN
20165	705	35	it	-PRON-	PRP
20165	705	36	enables	enable	VBZ
20165	705	37	us	-PRON-	PRP
20165	705	38	to	to	TO
20165	705	39	measure	measure	VB
20165	705	40	any	any	DT
20165	705	41	depth	depth	NN
20165	705	42	into	into	IN
20165	705	43	the	the	DT
20165	705	44	picture	picture	NN
20165	705	45	with	with	IN
20165	705	46	the	the	DT
20165	705	47	greatest	great	JJS
20165	705	48	ease	ease	NN
20165	705	49	.	.	.
20165	706	1	It	-PRON-	PRP
20165	706	2	will	will	MD
20165	706	3	be	be	VB
20165	706	4	seen	see	VBN
20165	706	5	in	in	IN
20165	706	6	the	the	DT
20165	706	7	next	next	JJ
20165	706	8	figure	figure	NN
20165	706	9	that	that	IN
20165	706	10	without	without	IN
20165	706	11	having	have	VBG
20165	706	12	to	to	TO
20165	706	13	extend	extend	VB
20165	706	14	the	the	DT
20165	706	15	base	base	NN
20165	706	16	,	,	,
20165	706	17	as	as	IN
20165	706	18	is	be	VBZ
20165	706	19	usually	usually	RB
20165	706	20	done	do	VBN
20165	706	21	,	,	,
20165	706	22	we	-PRON-	PRP
20165	706	23	can	can	MD
20165	706	24	multiply	multiply	VB
20165	706	25	that	that	DT
20165	706	26	base	base	NN
20165	706	27	to	to	IN
20165	706	28	any	any	DT
20165	706	29	amount	amount	NN
20165	706	30	by	by	IN
20165	706	31	making	make	VBG
20165	706	32	use	use	NN
20165	706	33	of	of	IN
20165	706	34	these	these	DT
20165	706	35	reduced	reduce	VBN
20165	706	36	distances	distance	NNS
20165	706	37	on	on	IN
20165	706	38	the	the	DT
20165	706	39	horizontal	horizontal	JJ
20165	706	40	line	line	NN
20165	706	41	.	.	.
20165	707	1	This	this	DT
20165	707	2	is	be	VBZ
20165	707	3	quite	quite	PDT
20165	707	4	a	a	DT
20165	707	5	new	new	JJ
20165	707	6	method	method	NN
20165	707	7	of	of	IN
20165	707	8	proceeding	proceeding	NN
20165	707	9	,	,	,
20165	707	10	and	and	CC
20165	707	11	it	-PRON-	PRP
20165	707	12	will	will	MD
20165	707	13	be	be	VB
20165	707	14	seen	see	VBN
20165	707	15	is	be	VBZ
20165	707	16	mathematically	mathematically	RB
20165	707	17	correct	correct	JJ
20165	707	18	.	.	.
20165	708	1	XXXIV	XXXIV	NNP
20165	708	2	HOW	how	WRB
20165	708	3	TO	to	TO
20165	708	4	DRAW	draw	VB
20165	708	5	A	a	DT
20165	708	6	LONG	long	JJ
20165	708	7	PASSAGE	passage	NN
20165	708	8	OR	or	CC
20165	708	9	CLOISTER	CLOISTER	NNP
20165	708	10	BY	by	IN
20165	708	11	MEANS	mean	NNS
20165	708	12	OF	of	IN
20165	708	13	THE	the	DT
20165	708	14	REDUCED	REDUCED	NNP
20165	708	15	DISTANCE	distance	NN
20165	708	16	[	[	-LRB-
20165	708	17	Illustration	illustration	NN
20165	708	18	:	:	:
20165	708	19	Fig	Fig	NNP
20165	708	20	.	.	.
20165	709	1	86	86	CD
20165	709	2	.	.	.
20165	709	3	]	]	-RRB-
20165	710	1	In	in	IN
20165	710	2	Fig	Fig	NNP
20165	710	3	.	.	.
20165	711	1	86	86	CD
20165	711	2	we	-PRON-	PRP
20165	711	3	have	have	VBP
20165	711	4	divided	divide	VBN
20165	711	5	the	the	DT
20165	711	6	base	base	NN
20165	711	7	of	of	IN
20165	711	8	the	the	DT
20165	711	9	first	first	JJ
20165	711	10	square	square	NN
20165	711	11	into	into	IN
20165	711	12	four	four	CD
20165	711	13	equal	equal	JJ
20165	711	14	parts	part	NNS
20165	711	15	,	,	,
20165	711	16	which	which	WDT
20165	711	17	may	may	MD
20165	711	18	represent	represent	VB
20165	711	19	so	so	RB
20165	711	20	many	many	JJ
20165	711	21	feet	foot	NNS
20165	711	22	,	,	,
20165	711	23	so	so	RB
20165	711	24	that	that	DT
20165	711	25	A4	A4	NNP
20165	711	26	and	and	CC
20165	711	27	_	_	NNP
20165	711	28	Bd	Bd	NNP
20165	711	29	_	_	NNP
20165	711	30	being	be	VBG
20165	711	31	the	the	DT
20165	711	32	retreating	retreat	VBG
20165	711	33	sides	side	NNS
20165	711	34	of	of	IN
20165	711	35	the	the	DT
20165	711	36	square	square	NN
20165	711	37	each	each	DT
20165	711	38	represents	represent	VBZ
20165	711	39	4	4	CD
20165	711	40	feet	foot	NNS
20165	711	41	.	.	.
20165	712	1	But	but	CC
20165	712	2	we	-PRON-	PRP
20165	712	3	found	find	VBD
20165	712	4	point	point	NN
20165	712	5	¼D	¼D	NNS
20165	712	6	by	by	IN
20165	712	7	drawing	draw	VBG
20165	712	8	3D	3d	RB
20165	712	9	from	from	IN
20165	712	10	¼	¼	JJ
20165	712	11	base	base	NN
20165	712	12	to	to	IN
20165	712	13	¼	¼	NNP
20165	712	14	distance	distance	NN
20165	712	15	,	,	,
20165	712	16	and	and	CC
20165	712	17	by	by	IN
20165	712	18	proceeding	proceed	VBG
20165	712	19	in	in	IN
20165	712	20	the	the	DT
20165	712	21	same	same	JJ
20165	712	22	way	way	NN
20165	712	23	from	from	IN
20165	712	24	each	each	DT
20165	712	25	division	division	NN
20165	712	26	,	,	,
20165	712	27	_	_	NNP
20165	712	28	A	A	NNP
20165	712	29	_	_	NNP
20165	712	30	,	,	,
20165	712	31	1	1	CD
20165	712	32	,	,	,
20165	712	33	2	2	CD
20165	712	34	,	,	,
20165	712	35	3	3	CD
20165	712	36	,	,	,
20165	712	37	we	-PRON-	PRP
20165	712	38	mark	mark	VBP
20165	712	39	off	off	RP
20165	712	40	on	on	IN
20165	712	41	_	_	NNP
20165	712	42	SB	SB	NNP
20165	712	43	_	_	NNP
20165	712	44	four	four	CD
20165	712	45	spaces	space	NNS
20165	712	46	each	each	DT
20165	712	47	equal	equal	JJ
20165	712	48	to	to	IN
20165	712	49	4	4	CD
20165	712	50	feet	foot	NNS
20165	712	51	,	,	,
20165	712	52	in	in	IN
20165	712	53	all	all	DT
20165	712	54	16	16	CD
20165	712	55	feet	foot	NNS
20165	712	56	,	,	,
20165	712	57	so	so	IN
20165	712	58	that	that	IN
20165	712	59	by	by	IN
20165	712	60	taking	take	VBG
20165	712	61	the	the	DT
20165	712	62	whole	whole	JJ
20165	712	63	base	base	NN
20165	712	64	and	and	CC
20165	712	65	the	the	DT
20165	712	66	¼	¼	JJ
20165	712	67	distance	distance	NN
20165	712	68	we	-PRON-	PRP
20165	712	69	find	find	VBP
20165	712	70	point	point	NN
20165	712	71	_	_	NNP
20165	712	72	O	O	NNP
20165	712	73	_	_	NNP
20165	712	74	,	,	,
20165	712	75	which	which	WDT
20165	712	76	is	be	VBZ
20165	712	77	distant	distant	JJ
20165	712	78	four	four	CD
20165	712	79	times	time	NNS
20165	712	80	the	the	DT
20165	712	81	length	length	NN
20165	712	82	of	of	IN
20165	712	83	the	the	DT
20165	712	84	base	base	NN
20165	712	85	_	_	NNP
20165	712	86	AB	AB	NNP
20165	712	87	_	_	NNP
20165	712	88	.	.	.
20165	713	1	We	-PRON-	PRP
20165	713	2	can	can	MD
20165	713	3	multiply	multiply	VB
20165	713	4	this	this	DT
20165	713	5	distance	distance	NN
20165	713	6	to	to	IN
20165	713	7	any	any	DT
20165	713	8	amount	amount	NN
20165	713	9	by	by	IN
20165	713	10	drawing	draw	VBG
20165	713	11	other	other	JJ
20165	713	12	diagonals	diagonal	NNS
20165	713	13	to	to	IN
20165	713	14	8th	8th	JJ
20165	713	15	distance	distance	NN
20165	713	16	,	,	,
20165	713	17	&	&	CC
20165	713	18	c.	c.	NNP
20165	713	19	The	the	DT
20165	713	20	same	same	JJ
20165	713	21	rule	rule	NN
20165	713	22	applies	apply	VBZ
20165	713	23	to	to	IN
20165	713	24	this	this	DT
20165	713	25	corridor	corridor	NN
20165	713	26	(	(	-LRB-
20165	713	27	Fig	fig	NN
20165	713	28	.	.	.
20165	714	1	87	87	CD
20165	714	2	and	and	CC
20165	714	3	Fig	Fig	NNP
20165	714	4	.	.	.
20165	715	1	88	88	CD
20165	715	2	)	)	-RRB-
20165	715	3	.	.	.
20165	716	1	[	[	-LRB-
20165	716	2	Illustration	illustration	NN
20165	716	3	:	:	:
20165	716	4	Fig	Fig	NNP
20165	716	5	.	.	.
20165	717	1	87	87	CD
20165	717	2	.	.	.
20165	717	3	]	]	-RRB-
20165	718	1	[	[	-LRB-
20165	718	2	Illustration	illustration	NN
20165	718	3	:	:	:
20165	718	4	Fig	Fig	NNP
20165	718	5	.	.	.
20165	719	1	88	88	CD
20165	719	2	.	.	.
20165	719	3	]	]	-RRB-
20165	720	1	XXXV	XXXV	NNP
20165	720	2	HOW	how	WRB
20165	720	3	TO	to	TO
20165	720	4	FORM	form	VB
20165	720	5	A	a	DT
20165	720	6	VANISHING	vanishing	NN
20165	720	7	SCALE	scale	NN
20165	720	8	THAT	that	WDT
20165	720	9	SHALL	SHALL	MD
20165	720	10	GIVE	give	VB
20165	720	11	THE	the	DT
20165	720	12	HEIGHT	HEIGHT	NNP
20165	720	13	,	,	,
20165	720	14	DEPTH	depth	NN
20165	720	15	,	,	,
20165	720	16	AND	and	CC
20165	720	17	DISTANCE	DISTANCE	NNP
20165	720	18	OF	of	IN
20165	720	19	ANY	any	DT
20165	720	20	OBJECT	OBJECT	NNP
20165	720	21	IN	in	IN
20165	720	22	THE	the	DT
20165	720	23	PICTURE	picture	NN
20165	720	24	If	if	IN
20165	720	25	we	-PRON-	PRP
20165	720	26	make	make	VBP
20165	720	27	our	-PRON-	PRP$
20165	720	28	scale	scale	NN
20165	720	29	to	to	TO
20165	720	30	vanish	vanish	VB
20165	720	31	to	to	IN
20165	720	32	the	the	DT
20165	720	33	point	point	NN
20165	720	34	of	of	IN
20165	720	35	sight	sight	NN
20165	720	36	,	,	,
20165	720	37	as	as	IN
20165	720	38	in	in	IN
20165	720	39	Fig	Fig	NNP
20165	720	40	.	.	.
20165	721	1	89	89	CD
20165	721	2	,	,	,
20165	721	3	we	-PRON-	PRP
20165	721	4	can	can	MD
20165	721	5	make	make	VB
20165	721	6	_	_	NNP
20165	721	7	SB	SB	NNP
20165	721	8	_	_	NNP
20165	721	9	,	,	,
20165	721	10	the	the	DT
20165	721	11	lower	low	JJR
20165	721	12	line	line	NN
20165	721	13	thereof	thereof	RB
20165	721	14	,	,	,
20165	721	15	a	a	DT
20165	721	16	measuring	measure	VBG
20165	721	17	line	line	NN
20165	721	18	for	for	IN
20165	721	19	distances	distance	NNS
20165	721	20	.	.	.
20165	722	1	Let	let	VB
20165	722	2	us	-PRON-	PRP
20165	722	3	first	first	RB
20165	722	4	of	of	IN
20165	722	5	all	all	DT
20165	722	6	divide	divide	VBP
20165	722	7	the	the	DT
20165	722	8	base	base	NN
20165	722	9	_	_	NNP
20165	722	10	AB	AB	NNP
20165	722	11	_	_	NNP
20165	722	12	into	into	IN
20165	722	13	eight	eight	CD
20165	722	14	parts	part	NNS
20165	722	15	,	,	,
20165	722	16	each	each	DT
20165	722	17	part	part	NN
20165	722	18	representing	represent	VBG
20165	722	19	5	5	CD
20165	722	20	feet	foot	NNS
20165	722	21	.	.	.
20165	723	1	From	from	IN
20165	723	2	each	each	DT
20165	723	3	division	division	NN
20165	723	4	draw	draw	VBP
20165	723	5	lines	line	NNS
20165	723	6	to	to	IN
20165	723	7	8th	8th	JJ
20165	723	8	distance	distance	NN
20165	723	9	;	;	:
20165	723	10	by	by	IN
20165	723	11	their	-PRON-	PRP$
20165	723	12	intersections	intersection	NNS
20165	723	13	with	with	IN
20165	723	14	_	_	NNP
20165	723	15	SB	SB	NNP
20165	723	16	_	_	NNP
20165	723	17	we	-PRON-	PRP
20165	723	18	obtain	obtain	VBP
20165	723	19	measurements	measurement	NNS
20165	723	20	of	of	IN
20165	723	21	40	40	CD
20165	723	22	,	,	,
20165	723	23	80	80	CD
20165	723	24	,	,	,
20165	723	25	120	120	CD
20165	723	26	,	,	,
20165	723	27	160	160	CD
20165	723	28	,	,	,
20165	723	29	&	&	CC
20165	723	30	c.	c.	NNP
20165	723	31	,	,	,
20165	723	32	feet	foot	NNS
20165	723	33	.	.	.
20165	724	1	Now	now	RB
20165	724	2	divide	divide	VB
20165	724	3	the	the	DT
20165	724	4	side	side	NN
20165	724	5	of	of	IN
20165	724	6	the	the	DT
20165	724	7	picture	picture	NN
20165	724	8	_	_	NNP
20165	724	9	BE	BE	NNP
20165	724	10	_	_	NNP
20165	724	11	in	in	IN
20165	724	12	the	the	DT
20165	724	13	same	same	JJ
20165	724	14	manner	manner	NN
20165	724	15	as	as	IN
20165	724	16	the	the	DT
20165	724	17	base	base	NN
20165	724	18	,	,	,
20165	724	19	which	which	WDT
20165	724	20	gives	give	VBZ
20165	724	21	us	-PRON-	PRP
20165	724	22	the	the	DT
20165	724	23	height	height	NN
20165	724	24	of	of	IN
20165	724	25	40	40	CD
20165	724	26	feet	foot	NNS
20165	724	27	.	.	.
20165	725	1	From	from	IN
20165	725	2	the	the	DT
20165	725	3	side	side	NN
20165	725	4	_	_	NNP
20165	725	5	BE	BE	NNP
20165	725	6	_	_	NNP
20165	725	7	draw	draw	VBP
20165	725	8	lines	line	NNS
20165	725	9	5S	5s	IN
20165	725	10	,	,	,
20165	725	11	15S	15S	NNP
20165	725	12	,	,	,
20165	725	13	&	&	CC
20165	725	14	c.	c.	NNP
20165	725	15	,	,	,
20165	725	16	to	to	TO
20165	725	17	point	point	NN
20165	725	18	of	of	IN
20165	725	19	sight	sight	NN
20165	725	20	,	,	,
20165	725	21	and	and	CC
20165	725	22	from	from	IN
20165	725	23	each	each	DT
20165	725	24	division	division	NN
20165	725	25	on	on	IN
20165	725	26	the	the	DT
20165	725	27	base	base	NN
20165	725	28	line	line	NN
20165	725	29	also	also	RB
20165	725	30	draw	draw	VBP
20165	725	31	lines	line	NNS
20165	725	32	5S	5s	JJ
20165	725	33	,	,	,
20165	725	34	10S	10S	NNP
20165	725	35	,	,	,
20165	725	36	15S	15S	NNP
20165	725	37	,	,	,
20165	725	38	&	&	CC
20165	725	39	c.	c.	NNP
20165	725	40	,	,	,
20165	725	41	to	to	TO
20165	725	42	point	point	NN
20165	725	43	of	of	IN
20165	725	44	sight	sight	NN
20165	725	45	,	,	,
20165	725	46	and	and	CC
20165	725	47	from	from	IN
20165	725	48	each	each	DT
20165	725	49	division	division	NN
20165	725	50	on	on	IN
20165	725	51	_	_	NNP
20165	725	52	SB	SB	NNP
20165	725	53	_	_	NNP
20165	725	54	,	,	,
20165	725	55	such	such	JJ
20165	725	56	as	as	IN
20165	725	57	40	40	CD
20165	725	58	,	,	,
20165	725	59	80	80	CD
20165	725	60	,	,	,
20165	725	61	&	&	CC
20165	725	62	c.	c.	NNP
20165	725	63	,	,	,
20165	725	64	draw	draw	VB
20165	725	65	horizontals	horizontal	NNS
20165	725	66	parallel	parallel	JJ
20165	725	67	to	to	TO
20165	725	68	base	base	VB
20165	725	69	.	.	.
20165	726	1	We	-PRON-	PRP
20165	726	2	thus	thus	RB
20165	726	3	obtain	obtain	VBP
20165	726	4	squares	square	NNS
20165	726	5	40	40	CD
20165	726	6	feet	foot	NNS
20165	726	7	wide	wide	JJ
20165	726	8	,	,	,
20165	726	9	beginning	begin	VBG
20165	726	10	at	at	IN
20165	726	11	base	base	NN
20165	726	12	_	_	NNP
20165	726	13	AB	AB	NNP
20165	726	14	_	_	NNP
20165	726	15	and	and	CC
20165	726	16	reaching	reach	VBG
20165	726	17	as	as	RB
20165	726	18	far	far	RB
20165	726	19	as	as	IN
20165	726	20	required	require	VBN
20165	726	21	.	.	.
20165	727	1	Note	note	VB
20165	727	2	how	how	WRB
20165	727	3	the	the	DT
20165	727	4	height	height	NN
20165	727	5	of	of	IN
20165	727	6	the	the	DT
20165	727	7	flagstaff	flagstaff	NN
20165	727	8	,	,	,
20165	727	9	which	which	WDT
20165	727	10	is	be	VBZ
20165	727	11	140	140	CD
20165	727	12	feet	foot	NNS
20165	727	13	high	high	JJ
20165	727	14	and	and	CC
20165	727	15	280	280	CD
20165	727	16	feet	foot	NNS
20165	727	17	distant	distant	JJ
20165	727	18	,	,	,
20165	727	19	is	be	VBZ
20165	727	20	obtained	obtain	VBN
20165	727	21	.	.	.
20165	728	1	So	so	RB
20165	728	2	also	also	RB
20165	728	3	any	any	DT
20165	728	4	buildings	building	NNS
20165	728	5	or	or	CC
20165	728	6	other	other	JJ
20165	728	7	objects	object	NNS
20165	728	8	can	can	MD
20165	728	9	be	be	VB
20165	728	10	measured	measure	VBN
20165	728	11	,	,	,
20165	728	12	such	such	JJ
20165	728	13	as	as	IN
20165	728	14	those	those	DT
20165	728	15	shown	show	VBN
20165	728	16	on	on	IN
20165	728	17	the	the	DT
20165	728	18	left	left	NN
20165	728	19	of	of	IN
20165	728	20	the	the	DT
20165	728	21	picture	picture	NN
20165	728	22	.	.	.
20165	729	1	[	[	-LRB-
20165	729	2	Illustration	illustration	NN
20165	729	3	:	:	:
20165	729	4	Fig	Fig	NNP
20165	729	5	.	.	.
20165	730	1	89	89	CD
20165	730	2	.	.	.
20165	730	3	]	]	-RRB-
20165	731	1	XXXVI	XXXVI	NNP
20165	731	2	MEASURING	measure	VBG
20165	731	3	SCALE	SCALE	NNP
20165	731	4	ON	on	IN
20165	731	5	GROUND	ground	NN
20165	731	6	A	a	DT
20165	731	7	simple	simple	JJ
20165	731	8	and	and	CC
20165	731	9	very	very	RB
20165	731	10	old	old	JJ
20165	731	11	method	method	NN
20165	731	12	of	of	IN
20165	731	13	drawing	draw	VBG
20165	731	14	buildings	building	NNS
20165	731	15	,	,	,
20165	731	16	&	&	CC
20165	731	17	c.	c.	NNP
20165	731	18	,	,	,
20165	731	19	and	and	CC
20165	731	20	giving	give	VBG
20165	731	21	them	-PRON-	PRP
20165	731	22	their	-PRON-	PRP$
20165	731	23	right	right	JJ
20165	731	24	width	width	NN
20165	731	25	and	and	CC
20165	731	26	height	height	NN
20165	731	27	is	be	VBZ
20165	731	28	by	by	IN
20165	731	29	means	mean	NNS
20165	731	30	of	of	IN
20165	731	31	squares	square	NNS
20165	731	32	of	of	IN
20165	731	33	a	a	DT
20165	731	34	given	give	VBN
20165	731	35	size	size	NN
20165	731	36	,	,	,
20165	731	37	drawn	draw	VBN
20165	731	38	on	on	IN
20165	731	39	the	the	DT
20165	731	40	ground	ground	NN
20165	731	41	.	.	.
20165	732	1	[	[	-LRB-
20165	732	2	Illustration	illustration	NN
20165	732	3	:	:	:
20165	732	4	Fig	Fig	NNP
20165	732	5	.	.	.
20165	733	1	90	90	CD
20165	733	2	.	.	.
20165	733	3	]	]	-RRB-
20165	734	1	In	in	IN
20165	734	2	the	the	DT
20165	734	3	above	above	JJ
20165	734	4	sketch	sketch	NN
20165	734	5	(	(	-LRB-
20165	734	6	Fig	fig	NN
20165	734	7	.	.	.
20165	735	1	90	90	CD
20165	735	2	)	)	-RRB-
20165	735	3	the	the	DT
20165	735	4	squares	square	NNS
20165	735	5	on	on	IN
20165	735	6	the	the	DT
20165	735	7	ground	ground	NN
20165	735	8	represent	represent	VBP
20165	735	9	3	3	CD
20165	735	10	feet	foot	NNS
20165	735	11	each	each	DT
20165	735	12	way	way	NN
20165	735	13	,	,	,
20165	735	14	or	or	CC
20165	735	15	one	one	CD
20165	735	16	square	square	JJ
20165	735	17	yard	yard	NN
20165	735	18	.	.	.
20165	736	1	Taking	take	VBG
20165	736	2	this	this	DT
20165	736	3	as	as	IN
20165	736	4	our	-PRON-	PRP$
20165	736	5	standard	standard	JJ
20165	736	6	measure	measure	NN
20165	736	7	,	,	,
20165	736	8	we	-PRON-	PRP
20165	736	9	find	find	VBP
20165	736	10	the	the	DT
20165	736	11	door	door	NN
20165	736	12	on	on	IN
20165	736	13	the	the	DT
20165	736	14	left	left	NN
20165	736	15	is	be	VBZ
20165	736	16	10	10	CD
20165	736	17	feet	foot	NNS
20165	736	18	high	high	JJ
20165	736	19	,	,	,
20165	736	20	that	that	IN
20165	736	21	the	the	DT
20165	736	22	archway	archway	NN
20165	736	23	at	at	IN
20165	736	24	the	the	DT
20165	736	25	end	end	NN
20165	736	26	is	be	VBZ
20165	736	27	21	21	CD
20165	736	28	feet	foot	NNS
20165	736	29	high	high	JJ
20165	736	30	and	and	CC
20165	736	31	12	12	CD
20165	736	32	feet	foot	NNS
20165	736	33	wide	wide	JJ
20165	736	34	,	,	,
20165	736	35	and	and	CC
20165	736	36	so	so	RB
20165	736	37	on	on	RB
20165	736	38	.	.	.
20165	737	1	[	[	-LRB-
20165	737	2	Illustration	illustration	NN
20165	737	3	:	:	:
20165	737	4	Fig	Fig	NNP
20165	737	5	.	.	.
20165	738	1	91	91	CD
20165	738	2	.	.	.
20165	739	1	Natural	Natural	NNP
20165	739	2	Perspective	Perspective	NNP
20165	739	3	.	.	.
20165	739	4	]	]	-RRB-
20165	740	1	[	[	-LRB-
20165	740	2	Illustration	illustration	NN
20165	740	3	:	:	:
20165	740	4	Fig	Fig	NNP
20165	740	5	.	.	.
20165	741	1	92	92	CD
20165	741	2	.	.	.
20165	742	1	Honfleur	Honfleur	NNP
20165	742	2	.	.	.
20165	742	3	]	]	-RRB-
20165	743	1	Fig	fig	NN
20165	743	2	.	.	.
20165	744	1	91	91	CD
20165	744	2	is	be	VBZ
20165	744	3	a	a	DT
20165	744	4	sketch	sketch	NN
20165	744	5	made	make	VBN
20165	744	6	at	at	IN
20165	744	7	Sandwich	Sandwich	NNP
20165	744	8	,	,	,
20165	744	9	Kent	Kent	NNP
20165	744	10	,	,	,
20165	744	11	and	and	CC
20165	744	12	shows	show	VBZ
20165	744	13	a	a	DT
20165	744	14	somewhat	somewhat	RB
20165	744	15	similar	similar	JJ
20165	744	16	subject	subject	NN
20165	744	17	to	to	IN
20165	744	18	Fig	Fig	NNP
20165	744	19	.	.	.
20165	745	1	84	84	CD
20165	745	2	,	,	,
20165	745	3	but	but	CC
20165	745	4	the	the	DT
20165	745	5	irregularity	irregularity	NN
20165	745	6	and	and	CC
20165	745	7	freedom	freedom	NN
20165	745	8	of	of	IN
20165	745	9	the	the	DT
20165	745	10	perspective	perspective	NN
20165	745	11	gives	give	VBZ
20165	745	12	it	-PRON-	PRP
20165	745	13	a	a	DT
20165	745	14	charm	charm	NN
20165	745	15	far	far	RB
20165	745	16	beyond	beyond	IN
20165	745	17	the	the	DT
20165	745	18	rigid	rigid	JJ
20165	745	19	precision	precision	NN
20165	745	20	of	of	IN
20165	745	21	the	the	DT
20165	745	22	other	other	JJ
20165	745	23	,	,	,
20165	745	24	while	while	IN
20165	745	25	it	-PRON-	PRP
20165	745	26	conforms	conform	VBZ
20165	745	27	to	to	IN
20165	745	28	its	-PRON-	PRP$
20165	745	29	main	main	JJ
20165	745	30	laws	law	NNS
20165	745	31	.	.	.
20165	746	1	This	this	DT
20165	746	2	sketch	sketch	NN
20165	746	3	,	,	,
20165	746	4	however	however	RB
20165	746	5	,	,	,
20165	746	6	is	be	VBZ
20165	746	7	the	the	DT
20165	746	8	real	real	JJ
20165	746	9	artist	artist	NN
20165	746	10	's	's	POS
20165	746	11	perspective	perspective	NN
20165	746	12	,	,	,
20165	746	13	or	or	CC
20165	746	14	what	what	WP
20165	746	15	we	-PRON-	PRP
20165	746	16	might	may	MD
20165	746	17	term	term	VB
20165	746	18	natural	natural	JJ
20165	746	19	perspective	perspective	NN
20165	746	20	.	.	.
20165	747	1	XXXVII	xxxvii	NN
20165	747	2	APPLICATION	application	NN
20165	747	3	OF	of	IN
20165	747	4	THE	the	DT
20165	747	5	REDUCED	REDUCED	NNP
20165	747	6	DISTANCE	DISTANCE	NNP
20165	747	7	AND	and	CC
20165	747	8	THE	the	DT
20165	747	9	VANISHING	vanishing	NN
20165	747	10	SCALE	SCALE	NNP
20165	747	11	TO	to	IN
20165	747	12	DRAWING	draw	VBG
20165	747	13	A	a	DT
20165	747	14	LIGHTHOUSE	LIGHTHOUSE	NNP
20165	747	15	,	,	,
20165	747	16	&	&	CC
20165	747	17	C.	C.	NNP
20165	747	18	[	[	-LRB-
20165	747	19	Above	above	IN
20165	747	20	illustration	illustration	NN
20165	747	21	:	:	:
20165	747	22	Perspective	perspective	NN
20165	747	23	of	of	IN
20165	747	24	a	a	DT
20165	747	25	lighthouse	lighthouse	NN
20165	747	26	135	135	CD
20165	747	27	feet	foot	NNS
20165	747	28	high	high	JJ
20165	747	29	at	at	IN
20165	747	30	800	800	CD
20165	747	31	feet	foot	NNS
20165	747	32	distance	distance	NN
20165	747	33	.	.	.
20165	747	34	]	]	-RRB-
20165	748	1	[	[	-LRB-
20165	748	2	Illustration	illustration	NN
20165	748	3	:	:	:
20165	748	4	Fig	Fig	NNP
20165	748	5	.	.	.
20165	749	1	93	93	CD
20165	749	2	.	.	.
20165	750	1	Key	key	JJ
20165	750	2	to	to	IN
20165	750	3	Fig	Fig	NNP
20165	750	4	.	.	.
20165	751	1	92	92	CD
20165	751	2	,	,	,
20165	751	3	Honfleur	Honfleur	NNP
20165	751	4	.	.	.
20165	751	5	]	]	-RRB-
20165	752	1	In	in	IN
20165	752	2	the	the	DT
20165	752	3	drawing	drawing	NN
20165	752	4	of	of	IN
20165	752	5	Honfleur	Honfleur	NNP
20165	752	6	(	(	-LRB-
20165	752	7	Fig	fig	NN
20165	752	8	.	.	.
20165	753	1	92	92	LS
20165	753	2	)	)	-RRB-
20165	753	3	we	-PRON-	PRP
20165	753	4	divide	divide	VBP
20165	753	5	the	the	DT
20165	753	6	base	base	NN
20165	753	7	_	_	NNP
20165	753	8	AB	AB	NNP
20165	753	9	_	_	NNP
20165	753	10	as	as	IN
20165	753	11	in	in	IN
20165	753	12	the	the	DT
20165	753	13	previous	previous	JJ
20165	753	14	figure	figure	NN
20165	753	15	,	,	,
20165	753	16	but	but	CC
20165	753	17	the	the	DT
20165	753	18	spaces	space	NNS
20165	753	19	measure	measure	VBP
20165	753	20	5	5	CD
20165	753	21	feet	foot	NNS
20165	753	22	instead	instead	RB
20165	753	23	of	of	IN
20165	753	24	3	3	CD
20165	753	25	feet	foot	NNS
20165	753	26	:	:	:
20165	753	27	so	so	IN
20165	753	28	that	that	IN
20165	753	29	taking	take	VBG
20165	753	30	the	the	DT
20165	753	31	8th	8th	JJ
20165	753	32	distance	distance	NN
20165	753	33	,	,	,
20165	753	34	the	the	DT
20165	753	35	divisions	division	NNS
20165	753	36	on	on	IN
20165	753	37	the	the	DT
20165	753	38	vanishing	vanish	VBG
20165	753	39	line	line	NN
20165	753	40	_	_	NNP
20165	753	41	BS	BS	NNP
20165	753	42	_	_	NNP
20165	753	43	measure	measure	NN
20165	753	44	40	40	CD
20165	753	45	feet	foot	NNS
20165	753	46	each	each	DT
20165	753	47	,	,	,
20165	753	48	and	and	CC
20165	753	49	at	at	IN
20165	753	50	point	point	NN
20165	753	51	_	_	NNP
20165	753	52	O	o	UH
20165	753	53	_	_	NNP
20165	753	54	we	-PRON-	PRP
20165	753	55	have	have	VBP
20165	753	56	400	400	CD
20165	753	57	feet	foot	NNS
20165	753	58	of	of	IN
20165	753	59	distance	distance	NN
20165	753	60	,	,	,
20165	753	61	but	but	CC
20165	753	62	we	-PRON-	PRP
20165	753	63	require	require	VBP
20165	753	64	800	800	CD
20165	753	65	.	.	.
20165	754	1	So	so	RB
20165	754	2	we	-PRON-	PRP
20165	754	3	again	again	RB
20165	754	4	reduce	reduce	VBP
20165	754	5	the	the	DT
20165	754	6	distance	distance	NN
20165	754	7	to	to	IN
20165	754	8	a	a	DT
20165	754	9	16th	16th	NN
20165	754	10	.	.	.
20165	755	1	We	-PRON-	PRP
20165	755	2	thus	thus	RB
20165	755	3	multiply	multiply	VBP
20165	755	4	the	the	DT
20165	755	5	base	base	NN
20165	755	6	by	by	IN
20165	755	7	16	16	CD
20165	755	8	.	.	.
20165	756	1	Now	now	RB
20165	756	2	let	let	VB
20165	756	3	us	-PRON-	PRP
20165	756	4	take	take	VB
20165	756	5	a	a	DT
20165	756	6	base	base	NN
20165	756	7	of	of	IN
20165	756	8	50	50	CD
20165	756	9	feet	foot	NNS
20165	756	10	at	at	IN
20165	756	11	_	_	NNP
20165	756	12	f	f	NNP
20165	756	13	_	_	NNP
20165	756	14	and	and	CC
20165	756	15	draw	draw	VB
20165	756	16	line	line	NN
20165	756	17	_	_	NNP
20165	756	18	fD	fD	NNP
20165	756	19	_	_	NNP
20165	756	20	to	to	IN
20165	756	21	16th	16th	JJ
20165	756	22	distance	distance	NN
20165	756	23	;	;	:
20165	756	24	if	if	IN
20165	756	25	we	-PRON-	PRP
20165	756	26	multiply	multiply	VBP
20165	756	27	50	50	CD
20165	756	28	feet	foot	NNS
20165	756	29	by	by	IN
20165	756	30	16	16	CD
20165	756	31	we	-PRON-	PRP
20165	756	32	obtain	obtain	VBP
20165	756	33	the	the	DT
20165	756	34	800	800	CD
20165	756	35	feet	foot	NNS
20165	756	36	required	require	VBN
20165	756	37	.	.	.
20165	757	1	The	the	DT
20165	757	2	height	height	NN
20165	757	3	of	of	IN
20165	757	4	the	the	DT
20165	757	5	lighthouse	lighthouse	NN
20165	757	6	is	be	VBZ
20165	757	7	found	find	VBN
20165	757	8	by	by	IN
20165	757	9	means	mean	NNS
20165	757	10	of	of	IN
20165	757	11	the	the	DT
20165	757	12	vanishing	vanish	VBG
20165	757	13	scale	scale	NN
20165	757	14	,	,	,
20165	757	15	which	which	WDT
20165	757	16	is	be	VBZ
20165	757	17	15	15	CD
20165	757	18	feet	foot	NNS
20165	757	19	below	below	RB
20165	757	20	and	and	CC
20165	757	21	15	15	CD
20165	757	22	feet	foot	NNS
20165	757	23	above	above	IN
20165	757	24	the	the	DT
20165	757	25	horizon	horizon	NN
20165	757	26	,	,	,
20165	757	27	or	or	CC
20165	757	28	30	30	CD
20165	757	29	feet	foot	NNS
20165	757	30	from	from	IN
20165	757	31	the	the	DT
20165	757	32	sea	sea	NN
20165	757	33	-	-	HYPH
20165	757	34	level	level	NN
20165	757	35	.	.	.
20165	758	1	At	at	IN
20165	758	2	_	_	NNP
20165	758	3	L	L	NNP
20165	758	4	_	_	NNP
20165	758	5	we	-PRON-	PRP
20165	758	6	raise	raise	VBP
20165	758	7	a	a	DT
20165	758	8	vertical	vertical	JJ
20165	758	9	_	_	NNP
20165	758	10	LM	LM	NNP
20165	758	11	_	_	NNP
20165	758	12	,	,	,
20165	758	13	which	which	WDT
20165	758	14	shows	show	VBZ
20165	758	15	the	the	DT
20165	758	16	position	position	NN
20165	758	17	of	of	IN
20165	758	18	the	the	DT
20165	758	19	lighthouse	lighthouse	NN
20165	758	20	.	.	.
20165	759	1	Then	then	RB
20165	759	2	on	on	IN
20165	759	3	that	that	DT
20165	759	4	vertical	vertical	JJ
20165	759	5	measure	measure	NN
20165	759	6	the	the	DT
20165	759	7	height	height	NN
20165	759	8	required	require	VBN
20165	759	9	as	as	IN
20165	759	10	shown	show	VBN
20165	759	11	in	in	IN
20165	759	12	the	the	DT
20165	759	13	figure	figure	NN
20165	759	14	.	.	.
20165	760	1	The	the	DT
20165	760	2	800	800	CD
20165	760	3	feet	foot	NNS
20165	760	4	could	could	MD
20165	760	5	be	be	VB
20165	760	6	obtained	obtain	VBN
20165	760	7	at	at	IN
20165	760	8	once	once	RB
20165	760	9	by	by	IN
20165	760	10	drawing	draw	VBG
20165	760	11	line	line	NN
20165	760	12	_	_	NNP
20165	760	13	fD	fD	NNP
20165	760	14	_	_	NNP
20165	760	15	,	,	,
20165	760	16	or	or	CC
20165	760	17	50	50	CD
20165	760	18	feet	foot	NNS
20165	760	19	,	,	,
20165	760	20	to	to	IN
20165	760	21	16th	16th	JJ
20165	760	22	distance	distance	NN
20165	760	23	.	.	.
20165	761	1	The	the	DT
20165	761	2	other	other	JJ
20165	761	3	measurements	measurement	NNS
20165	761	4	obtained	obtain	VBN
20165	761	5	by	by	IN
20165	761	6	8th	8th	JJ
20165	761	7	distance	distance	NN
20165	761	8	serve	serve	VB
20165	761	9	for	for	IN
20165	761	10	nearer	nearer	NN
20165	761	11	buildings	building	NNS
20165	761	12	.	.	.
20165	762	1	XXXVIII	XXXVIII	VBD
20165	762	2	HOW	how	WRB
20165	762	3	TO	to	TO
20165	762	4	MEASURE	measure	VB
20165	762	5	LONG	long	JJ
20165	762	6	DISTANCES	distances	VB
20165	762	7	SUCH	SUCH	NNP
20165	762	8	AS	as	IN
20165	762	9	A	a	DT
20165	762	10	MILE	MILE	NNP
20165	762	11	OR	or	CC
20165	762	12	UPWARDS	upwards	IN
20165	762	13	The	the	DT
20165	762	14	wonderful	wonderful	JJ
20165	762	15	effect	effect	NN
20165	762	16	of	of	IN
20165	762	17	distance	distance	NN
20165	762	18	in	in	IN
20165	762	19	Turner	Turner	NNP
20165	762	20	's	's	POS
20165	762	21	pictures	picture	NNS
20165	762	22	is	be	VBZ
20165	762	23	not	not	RB
20165	762	24	to	to	TO
20165	762	25	be	be	VB
20165	762	26	achieved	achieve	VBN
20165	762	27	by	by	IN
20165	762	28	mere	mere	JJ
20165	762	29	measurement	measurement	NN
20165	762	30	,	,	,
20165	762	31	and	and	CC
20165	762	32	indeed	indeed	RB
20165	762	33	can	can	MD
20165	762	34	only	only	RB
20165	762	35	be	be	VB
20165	762	36	properly	properly	RB
20165	762	37	done	do	VBN
20165	762	38	by	by	IN
20165	762	39	studying	study	VBG
20165	762	40	Nature	Nature	NNP
20165	762	41	and	and	CC
20165	762	42	drawing	draw	VBG
20165	762	43	her	-PRON-	PRP$
20165	762	44	perspective	perspective	NN
20165	762	45	as	as	IN
20165	762	46	she	-PRON-	PRP
20165	762	47	presents	present	VBZ
20165	762	48	it	-PRON-	PRP
20165	762	49	to	to	IN
20165	762	50	us	-PRON-	PRP
20165	762	51	.	.	.
20165	763	1	At	at	IN
20165	763	2	the	the	DT
20165	763	3	same	same	JJ
20165	763	4	time	time	NN
20165	763	5	it	-PRON-	PRP
20165	763	6	is	be	VBZ
20165	763	7	useful	useful	JJ
20165	763	8	to	to	TO
20165	763	9	be	be	VB
20165	763	10	able	able	JJ
20165	763	11	to	to	TO
20165	763	12	test	test	VB
20165	763	13	and	and	CC
20165	763	14	to	to	TO
20165	763	15	set	set	VB
20165	763	16	out	out	RP
20165	763	17	distances	distance	NNS
20165	763	18	in	in	IN
20165	763	19	arranging	arrange	VBG
20165	763	20	a	a	DT
20165	763	21	composition	composition	NN
20165	763	22	.	.	.
20165	764	1	This	this	DT
20165	764	2	latter	latter	JJ
20165	764	3	,	,	,
20165	764	4	if	if	IN
20165	764	5	neglected	neglect	VBN
20165	764	6	,	,	,
20165	764	7	often	often	RB
20165	764	8	leads	lead	VBZ
20165	764	9	to	to	IN
20165	764	10	great	great	JJ
20165	764	11	difficulties	difficulty	NNS
20165	764	12	and	and	CC
20165	764	13	sometimes	sometimes	RB
20165	764	14	to	to	IN
20165	764	15	repainting	repaint	VBG
20165	764	16	.	.	.
20165	765	1	To	to	TO
20165	765	2	show	show	VB
20165	765	3	the	the	DT
20165	765	4	method	method	NN
20165	765	5	of	of	IN
20165	765	6	measuring	measure	VBG
20165	765	7	very	very	RB
20165	765	8	long	long	JJ
20165	765	9	distances	distance	NNS
20165	765	10	we	-PRON-	PRP
20165	765	11	have	have	VBP
20165	765	12	to	to	TO
20165	765	13	work	work	VB
20165	765	14	with	with	IN
20165	765	15	a	a	DT
20165	765	16	very	very	RB
20165	765	17	small	small	JJ
20165	765	18	scale	scale	NN
20165	765	19	to	to	IN
20165	765	20	the	the	DT
20165	765	21	foot	foot	NN
20165	765	22	,	,	,
20165	765	23	and	and	CC
20165	765	24	in	in	IN
20165	765	25	Fig	Fig	NNP
20165	765	26	.	.	.
20165	766	1	94	94	CD
20165	766	2	I	-PRON-	PRP
20165	766	3	have	have	VBP
20165	766	4	divided	divide	VBN
20165	766	5	the	the	DT
20165	766	6	base	base	NN
20165	766	7	_	_	NNP
20165	766	8	AB	AB	NNP
20165	766	9	_	_	NNP
20165	766	10	into	into	IN
20165	766	11	eleven	eleven	CD
20165	766	12	parts	part	NNS
20165	766	13	,	,	,
20165	766	14	each	each	DT
20165	766	15	part	part	NN
20165	766	16	representing	represent	VBG
20165	766	17	10	10	CD
20165	766	18	feet	foot	NNS
20165	766	19	.	.	.
20165	767	1	First	first	RB
20165	767	2	draw	draw	VB
20165	767	3	_	_	NNP
20165	767	4	AS	AS	NNP
20165	767	5	_	_	NNP
20165	767	6	and	and	CC
20165	767	7	_	_	NNP
20165	767	8	BS	BS	NNP
20165	767	9	_	_	NNP
20165	767	10	to	to	IN
20165	767	11	point	point	NN
20165	767	12	of	of	IN
20165	767	13	sight	sight	NN
20165	767	14	.	.	.
20165	768	1	From	from	IN
20165	768	2	_	_	NNP
20165	768	3	A	A	NNP
20165	768	4	_	_	NNP
20165	768	5	draw	draw	NN
20165	768	6	_	_	NNP
20165	768	7	AD	AD	NNP
20165	768	8	_	_	NNP
20165	768	9	to	to	IN
20165	768	10	¼	¼	JJ
20165	768	11	distance	distance	NN
20165	768	12	,	,	,
20165	768	13	and	and	CC
20165	768	14	we	-PRON-	PRP
20165	768	15	obtain	obtain	VBP
20165	768	16	at	at	IN
20165	768	17	440	440	CD
20165	768	18	on	on	IN
20165	768	19	line	line	NN
20165	768	20	_	_	NNP
20165	768	21	BS	BS	NNP
20165	768	22	_	_	NNP
20165	768	23	four	four	CD
20165	768	24	times	time	NNS
20165	768	25	the	the	DT
20165	768	26	length	length	NN
20165	768	27	of	of	IN
20165	768	28	_	_	NNP
20165	768	29	AB	AB	NNP
20165	768	30	_	_	NNP
20165	768	31	,	,	,
20165	768	32	or	or	CC
20165	768	33	110	110	CD
20165	768	34	feet	foot	NNS
20165	768	35	×	×	CD
20165	768	36	4	4	CD
20165	768	37	=	=	SYM
20165	768	38	440	440	CD
20165	768	39	feet	foot	NNS
20165	768	40	.	.	.
20165	769	1	Again	again	RB
20165	769	2	,	,	,
20165	769	3	taking	take	VBG
20165	769	4	the	the	DT
20165	769	5	whole	whole	JJ
20165	769	6	base	base	NN
20165	769	7	and	and	CC
20165	769	8	drawing	draw	VBG
20165	769	9	a	a	DT
20165	769	10	line	line	NN
20165	769	11	from	from	IN
20165	769	12	_	_	NNP
20165	769	13	S	S	NNP
20165	769	14	_	_	NNP
20165	769	15	to	to	IN
20165	769	16	8th	8th	JJ
20165	769	17	distance	distance	NN
20165	769	18	we	-PRON-	PRP
20165	769	19	obtain	obtain	VBP
20165	769	20	eight	eight	CD
20165	769	21	times	time	NNS
20165	769	22	110	110	CD
20165	769	23	feet	foot	NNS
20165	769	24	or	or	CC
20165	769	25	880	880	CD
20165	769	26	feet	foot	NNS
20165	769	27	.	.	.
20165	770	1	If	if	IN
20165	770	2	now	now	RB
20165	770	3	we	-PRON-	PRP
20165	770	4	use	use	VBP
20165	770	5	the	the	DT
20165	770	6	16th	16th	JJ
20165	770	7	distance	distance	NN
20165	770	8	we	-PRON-	PRP
20165	770	9	get	get	VBP
20165	770	10	sixteen	sixteen	CD
20165	770	11	times	time	NNS
20165	770	12	110	110	CD
20165	770	13	feet	foot	NNS
20165	770	14	,	,	,
20165	770	15	or	or	CC
20165	770	16	1,760	1,760	CD
20165	770	17	feet	foot	NNS
20165	770	18	,	,	,
20165	770	19	one	one	CD
20165	770	20	-	-	HYPH
20165	770	21	third	third	NN
20165	770	22	of	of	IN
20165	770	23	a	a	DT
20165	770	24	mile	mile	NN
20165	770	25	;	;	:
20165	770	26	by	by	IN
20165	770	27	repeating	repeat	VBG
20165	770	28	this	this	DT
20165	770	29	process	process	NN
20165	770	30	,	,	,
20165	770	31	but	but	CC
20165	770	32	by	by	IN
20165	770	33	using	use	VBG
20165	770	34	the	the	DT
20165	770	35	base	base	NN
20165	770	36	at	at	IN
20165	770	37	1,760	1,760	CD
20165	770	38	,	,	,
20165	770	39	which	which	WDT
20165	770	40	is	be	VBZ
20165	770	41	the	the	DT
20165	770	42	same	same	JJ
20165	770	43	length	length	NN
20165	770	44	in	in	IN
20165	770	45	perspective	perspective	NN
20165	770	46	as	as	IN
20165	770	47	_	_	NNP
20165	770	48	AB	AB	NNP
20165	770	49	_	_	NNP
20165	770	50	,	,	,
20165	770	51	we	-PRON-	PRP
20165	770	52	obtain	obtain	VBP
20165	770	53	3,520	3,520	CD
20165	770	54	feet	foot	NNS
20165	770	55	,	,	,
20165	770	56	and	and	CC
20165	770	57	then	then	RB
20165	770	58	again	again	RB
20165	770	59	using	use	VBG
20165	770	60	the	the	DT
20165	770	61	base	base	NN
20165	770	62	at	at	IN
20165	770	63	3,520	3,520	CD
20165	770	64	and	and	CC
20165	770	65	proceeding	proceed	VBG
20165	770	66	in	in	IN
20165	770	67	the	the	DT
20165	770	68	same	same	JJ
20165	770	69	way	way	NN
20165	770	70	we	-PRON-	PRP
20165	770	71	obtain	obtain	VBP
20165	770	72	5,280	5,280	CD
20165	770	73	feet	foot	NNS
20165	770	74	,	,	,
20165	770	75	or	or	CC
20165	770	76	one	one	CD
20165	770	77	mile	mile	NN
20165	770	78	to	to	IN
20165	770	79	the	the	DT
20165	770	80	archway	archway	NN
20165	770	81	.	.	.
20165	771	1	The	the	DT
20165	771	2	flags	flag	NNS
20165	771	3	show	show	VBP
20165	771	4	their	-PRON-	PRP$
20165	771	5	heights	height	NNS
20165	771	6	at	at	IN
20165	771	7	their	-PRON-	PRP$
20165	771	8	respective	respective	JJ
20165	771	9	distances	distance	NNS
20165	771	10	from	from	IN
20165	771	11	the	the	DT
20165	771	12	base	base	NN
20165	771	13	.	.	.
20165	772	1	By	by	IN
20165	772	2	the	the	DT
20165	772	3	scale	scale	NN
20165	772	4	at	at	IN
20165	772	5	the	the	DT
20165	772	6	side	side	NN
20165	772	7	of	of	IN
20165	772	8	the	the	DT
20165	772	9	picture	picture	NN
20165	772	10	,	,	,
20165	772	11	_	_	NNP
20165	772	12	BO	BO	NNP
20165	772	13	_	_	NNP
20165	772	14	,	,	,
20165	772	15	we	-PRON-	PRP
20165	772	16	can	can	MD
20165	772	17	measure	measure	VB
20165	772	18	any	any	DT
20165	772	19	height	height	NN
20165	772	20	above	above	RB
20165	772	21	or	or	CC
20165	772	22	any	any	DT
20165	772	23	depth	depth	NN
20165	772	24	below	below	IN
20165	772	25	the	the	DT
20165	772	26	perspective	perspective	JJ
20165	772	27	plane	plane	NN
20165	772	28	.	.	.
20165	773	1	[	[	-LRB-
20165	773	2	Illustration	illustration	NN
20165	773	3	:	:	:
20165	773	4	Fig	Fig	NNP
20165	773	5	.	.	.
20165	774	1	94	94	CD
20165	774	2	.	.	.
20165	774	3	]	]	-RRB-
20165	775	1	_	_	NNP
20165	775	2	Note_.--This	Note_.--This	NNP
20165	775	3	figure	figure	NN
20165	775	4	(	(	-LRB-
20165	775	5	here	here	RB
20165	775	6	much	much	RB
20165	775	7	reduced	reduce	VBN
20165	775	8	)	)	-RRB-
20165	775	9	should	should	MD
20165	775	10	be	be	VB
20165	775	11	drawn	draw	VBN
20165	775	12	large	large	JJ
20165	775	13	by	by	IN
20165	775	14	the	the	DT
20165	775	15	student	student	NN
20165	775	16	,	,	,
20165	775	17	so	so	IN
20165	775	18	that	that	IN
20165	775	19	the	the	DT
20165	775	20	numbering	numbering	NN
20165	775	21	,	,	,
20165	775	22	&	&	CC
20165	775	23	c.	c.	NNP
20165	775	24	,	,	,
20165	775	25	may	may	MD
20165	775	26	be	be	VB
20165	775	27	made	make	VBN
20165	775	28	more	more	RBR
20165	775	29	distinct	distinct	JJ
20165	775	30	.	.	.
20165	776	1	Indeed	indeed	RB
20165	776	2	,	,	,
20165	776	3	many	many	JJ
20165	776	4	of	of	IN
20165	776	5	the	the	DT
20165	776	6	other	other	JJ
20165	776	7	figures	figure	NNS
20165	776	8	should	should	MD
20165	776	9	be	be	VB
20165	776	10	copied	copy	VBN
20165	776	11	large	large	JJ
20165	776	12	,	,	,
20165	776	13	and	and	CC
20165	776	14	worked	work	VBD
20165	776	15	out	out	RP
20165	776	16	with	with	IN
20165	776	17	care	care	NN
20165	776	18	,	,	,
20165	776	19	as	as	IN
20165	776	20	lessons	lesson	NNS
20165	776	21	in	in	IN
20165	776	22	perspective	perspective	NN
20165	776	23	.	.	.
20165	777	1	XXXIX	XXXIX	NNP
20165	777	2	FURTHER	further	JJ
20165	777	3	ILLUSTRATION	illustration	NN
20165	777	4	OF	of	IN
20165	777	5	LONG	long	JJ
20165	777	6	DISTANCES	distance	NNS
20165	777	7	AND	and	CC
20165	777	8	EXTENDED	EXTENDED	NNP
20165	777	9	VIEWS	VIEWS	NNP
20165	777	10	An	an	DT
20165	777	11	extended	extended	JJ
20165	777	12	view	view	NN
20165	777	13	is	be	VBZ
20165	777	14	generally	generally	RB
20165	777	15	taken	take	VBN
20165	777	16	from	from	IN
20165	777	17	an	an	DT
20165	777	18	elevated	elevated	JJ
20165	777	19	position	position	NN
20165	777	20	,	,	,
20165	777	21	so	so	IN
20165	777	22	that	that	IN
20165	777	23	the	the	DT
20165	777	24	principal	principal	JJ
20165	777	25	part	part	NN
20165	777	26	of	of	IN
20165	777	27	the	the	DT
20165	777	28	landscape	landscape	NN
20165	777	29	lies	lie	VBZ
20165	777	30	beneath	beneath	IN
20165	777	31	the	the	DT
20165	777	32	perspective	perspective	JJ
20165	777	33	plane	plane	NN
20165	777	34	,	,	,
20165	777	35	as	as	IN
20165	777	36	already	already	RB
20165	777	37	noted	note	VBN
20165	777	38	,	,	,
20165	777	39	and	and	CC
20165	777	40	we	-PRON-	PRP
20165	777	41	shall	shall	MD
20165	777	42	presently	presently	RB
20165	777	43	treat	treat	VB
20165	777	44	of	of	IN
20165	777	45	objects	object	NNS
20165	777	46	and	and	CC
20165	777	47	figures	figure	NNS
20165	777	48	on	on	IN
20165	777	49	uneven	uneven	JJ
20165	777	50	ground	ground	NN
20165	777	51	.	.	.
20165	778	1	In	in	IN
20165	778	2	the	the	DT
20165	778	3	previous	previous	JJ
20165	778	4	figure	figure	NN
20165	778	5	is	be	VBZ
20165	778	6	shown	show	VBN
20165	778	7	how	how	WRB
20165	778	8	we	-PRON-	PRP
20165	778	9	can	can	MD
20165	778	10	measure	measure	VB
20165	778	11	heights	height	NNS
20165	778	12	and	and	CC
20165	778	13	depths	depth	NNS
20165	778	14	to	to	IN
20165	778	15	any	any	DT
20165	778	16	extent	extent	NN
20165	778	17	.	.	.
20165	779	1	But	but	CC
20165	779	2	when	when	WRB
20165	779	3	we	-PRON-	PRP
20165	779	4	turn	turn	VBP
20165	779	5	to	to	IN
20165	779	6	a	a	DT
20165	779	7	drawing	drawing	NN
20165	779	8	by	by	IN
20165	779	9	Turner	Turner	NNP
20165	779	10	,	,	,
20165	779	11	such	such	JJ
20165	779	12	as	as	IN
20165	779	13	the	the	DT
20165	779	14	'	'	``
20165	779	15	View	View	NNP
20165	779	16	from	from	IN
20165	779	17	Richmond	Richmond	NNP
20165	779	18	Hill	Hill	NNP
20165	779	19	'	'	''
20165	779	20	,	,	,
20165	779	21	we	-PRON-	PRP
20165	779	22	feel	feel	VBP
20165	779	23	that	that	IN
20165	779	24	the	the	DT
20165	779	25	only	only	JJ
20165	779	26	way	way	NN
20165	779	27	to	to	TO
20165	779	28	accomplish	accomplish	VB
20165	779	29	such	such	JJ
20165	779	30	perspective	perspective	NN
20165	779	31	as	as	IN
20165	779	32	this	this	DT
20165	779	33	,	,	,
20165	779	34	is	be	VBZ
20165	779	35	to	to	TO
20165	779	36	go	go	VB
20165	779	37	and	and	CC
20165	779	38	draw	draw	VB
20165	779	39	it	-PRON-	PRP
20165	779	40	from	from	IN
20165	779	41	nature	nature	NN
20165	779	42	,	,	,
20165	779	43	and	and	CC
20165	779	44	even	even	RB
20165	779	45	then	then	RB
20165	779	46	to	to	TO
20165	779	47	use	use	VB
20165	779	48	our	-PRON-	PRP$
20165	779	49	judgement	judgement	NN
20165	779	50	,	,	,
20165	779	51	as	as	IN
20165	779	52	he	-PRON-	PRP
20165	779	53	did	do	VBD
20165	779	54	,	,	,
20165	779	55	as	as	IN
20165	779	56	to	to	IN
20165	779	57	how	how	WRB
20165	779	58	much	much	RB
20165	779	59	we	-PRON-	PRP
20165	779	60	may	may	MD
20165	779	61	emphasize	emphasize	VB
20165	779	62	or	or	CC
20165	779	63	even	even	RB
20165	779	64	exaggerate	exaggerate	VB
20165	779	65	certain	certain	JJ
20165	779	66	features	feature	NNS
20165	779	67	.	.	.
20165	780	1	[	[	-LRB-
20165	780	2	Illustration	illustration	NN
20165	780	3	:	:	:
20165	780	4	Fig	Fig	NNP
20165	780	5	.	.	.
20165	781	1	95	95	CD
20165	781	2	.	.	.
20165	782	1	Turner	Turner	NNP
20165	782	2	's	's	POS
20165	782	3	View	View	NNP
20165	782	4	from	from	IN
20165	782	5	Richmond	Richmond	NNP
20165	782	6	Hill	Hill	NNP
20165	782	7	.	.	.
20165	782	8	]	]	-RRB-
20165	783	1	Note	note	VB
20165	783	2	in	in	IN
20165	783	3	this	this	DT
20165	783	4	view	view	NN
20165	783	5	the	the	DT
20165	783	6	foreground	foreground	NN
20165	783	7	on	on	IN
20165	783	8	which	which	WDT
20165	783	9	the	the	DT
20165	783	10	principal	principal	JJ
20165	783	11	figures	figure	NNS
20165	783	12	stand	stand	VBP
20165	783	13	is	be	VBZ
20165	783	14	on	on	IN
20165	783	15	a	a	DT
20165	783	16	level	level	NN
20165	783	17	with	with	IN
20165	783	18	the	the	DT
20165	783	19	perspective	perspective	JJ
20165	783	20	plane	plane	NN
20165	783	21	,	,	,
20165	783	22	while	while	IN
20165	783	23	the	the	DT
20165	783	24	river	river	NN
20165	783	25	and	and	CC
20165	783	26	surrounding	surround	VBG
20165	783	27	park	park	NN
20165	783	28	and	and	CC
20165	783	29	woods	wood	NNS
20165	783	30	are	be	VBP
20165	783	31	hundreds	hundred	NNS
20165	783	32	of	of	IN
20165	783	33	feet	foot	NNS
20165	783	34	below	below	IN
20165	783	35	us	-PRON-	PRP
20165	783	36	and	and	CC
20165	783	37	stretch	stretch	VB
20165	783	38	away	away	RB
20165	783	39	for	for	IN
20165	783	40	miles	mile	NNS
20165	783	41	into	into	IN
20165	783	42	the	the	DT
20165	783	43	distance	distance	NN
20165	783	44	.	.	.
20165	784	1	The	the	DT
20165	784	2	contrasts	contrast	NNS
20165	784	3	obtained	obtain	VBN
20165	784	4	by	by	IN
20165	784	5	this	this	DT
20165	784	6	arrangement	arrangement	NN
20165	784	7	increase	increase	VB
20165	784	8	the	the	DT
20165	784	9	illusion	illusion	NN
20165	784	10	of	of	IN
20165	784	11	space	space	NN
20165	784	12	,	,	,
20165	784	13	and	and	CC
20165	784	14	the	the	DT
20165	784	15	figures	figure	NNS
20165	784	16	in	in	IN
20165	784	17	the	the	DT
20165	784	18	foreground	foreground	NN
20165	784	19	give	give	NN
20165	784	20	as	as	IN
20165	784	21	it	-PRON-	PRP
20165	784	22	were	be	VBD
20165	784	23	a	a	DT
20165	784	24	standard	standard	NN
20165	784	25	of	of	IN
20165	784	26	measurement	measurement	NN
20165	784	27	,	,	,
20165	784	28	and	and	CC
20165	784	29	by	by	IN
20165	784	30	their	-PRON-	PRP$
20165	784	31	contrast	contrast	NN
20165	784	32	to	to	IN
20165	784	33	the	the	DT
20165	784	34	size	size	NN
20165	784	35	of	of	IN
20165	784	36	the	the	DT
20165	784	37	trees	tree	NNS
20165	784	38	show	show	VBP
20165	784	39	us	-PRON-	PRP
20165	784	40	how	how	WRB
20165	784	41	far	far	RB
20165	784	42	away	away	RB
20165	784	43	those	those	DT
20165	784	44	trees	tree	NNS
20165	784	45	are	be	VBP
20165	784	46	.	.	.
20165	785	1	XL	XL	NNP
20165	785	2	HOW	how	WRB
20165	785	3	TO	to	IN
20165	785	4	ASCERTAIN	ASCERTAIN	NNP
20165	785	5	THE	the	DT
20165	785	6	RELATIVE	relative	JJ
20165	785	7	HEIGHTS	height	NNS
20165	785	8	OF	of	IN
20165	785	9	FIGURES	figures	NN
20165	785	10	ON	on	IN
20165	785	11	AN	an	DT
20165	785	12	INCLINED	inclined	NN
20165	785	13	PLANE	PLANE	VBN
20165	785	14	[	[	-LRB-
20165	785	15	Illustration	illustration	NN
20165	785	16	:	:	:
20165	785	17	Fig	Fig	NNP
20165	785	18	.	.	.
20165	786	1	96	96	CD
20165	786	2	.	.	.
20165	786	3	]	]	-RRB-
20165	787	1	The	the	DT
20165	787	2	three	three	CD
20165	787	3	figures	figure	NNS
20165	787	4	to	to	IN
20165	787	5	the	the	DT
20165	787	6	right	right	NN
20165	787	7	marked	mark	VBN
20165	787	8	_	_	NNP
20165	787	9	f	f	NNP
20165	787	10	_	_	NNP
20165	787	11	,	,	,
20165	787	12	_	_	NNP
20165	787	13	g	g	NNP
20165	787	14	_	_	NNP
20165	787	15	,	,	,
20165	787	16	_	_	NNP
20165	787	17	b	b	NNP
20165	787	18	_	_	NNP
20165	787	19	(	(	-LRB-
20165	787	20	Fig	Fig	NNP
20165	787	21	.	.	.
20165	788	1	96	96	CD
20165	788	2	)	)	-RRB-
20165	788	3	are	be	VBP
20165	788	4	on	on	IN
20165	788	5	level	level	NN
20165	788	6	ground	ground	NN
20165	788	7	,	,	,
20165	788	8	and	and	CC
20165	788	9	we	-PRON-	PRP
20165	788	10	measure	measure	VBP
20165	788	11	them	-PRON-	PRP
20165	788	12	by	by	IN
20165	788	13	the	the	DT
20165	788	14	vanishing	vanish	VBG
20165	788	15	scale	scale	NN
20165	788	16	_	_	NNP
20165	788	17	aS	aS	NNP
20165	788	18	_	_	NNP
20165	788	19	,	,	,
20165	788	20	_	_	NNP
20165	788	21	bS	bS	NNP
20165	788	22	_	_	NNP
20165	788	23	.	.	.
20165	789	1	Those	those	DT
20165	789	2	to	to	IN
20165	789	3	the	the	DT
20165	789	4	left	left	NN
20165	789	5	,	,	,
20165	789	6	which	which	WDT
20165	789	7	are	be	VBP
20165	789	8	repetitions	repetition	NNS
20165	789	9	of	of	IN
20165	789	10	them	-PRON-	PRP
20165	789	11	,	,	,
20165	789	12	are	be	VBP
20165	789	13	on	on	IN
20165	789	14	an	an	DT
20165	789	15	inclined	incline	VBN
20165	789	16	plane	plane	NN
20165	789	17	,	,	,
20165	789	18	the	the	DT
20165	789	19	vanishing	vanish	VBG
20165	789	20	point	point	NN
20165	789	21	of	of	IN
20165	789	22	which	which	WDT
20165	789	23	is	be	VBZ
20165	789	24	_	_	NNP
20165	789	25	S	S	NNP
20165	789	26	·	·	NFP
20165	789	27	_	_	XX
20165	789	28	;	;	:
20165	789	29	by	by	IN
20165	789	30	the	the	DT
20165	789	31	side	side	NN
20165	789	32	of	of	IN
20165	789	33	this	this	DT
20165	789	34	plane	plane	NN
20165	789	35	we	-PRON-	PRP
20165	789	36	have	have	VBP
20165	789	37	placed	place	VBN
20165	789	38	another	another	DT
20165	789	39	vanishing	vanish	VBG
20165	789	40	scale	scale	NN
20165	789	41	_	_	NN
20165	789	42	a·S	a·	NNS
20165	789	43	·	·	NFP
20165	789	44	_	_	NNP
20165	789	45	,	,	,
20165	789	46	_	_	NNP
20165	789	47	b·S	b·S	NNP
20165	789	48	·	·	NFP
20165	789	49	_	_	NNP
20165	789	50	,	,	,
20165	789	51	by	by	IN
20165	789	52	which	which	WDT
20165	789	53	we	-PRON-	PRP
20165	789	54	measure	measure	VBP
20165	789	55	the	the	DT
20165	789	56	figures	figure	NNS
20165	789	57	on	on	IN
20165	789	58	that	that	DT
20165	789	59	incline	incline	NN
20165	789	60	in	in	IN
20165	789	61	the	the	DT
20165	789	62	same	same	JJ
20165	789	63	way	way	NN
20165	789	64	as	as	IN
20165	789	65	on	on	IN
20165	789	66	the	the	DT
20165	789	67	level	level	NN
20165	789	68	plane	plane	NN
20165	789	69	.	.	.
20165	790	1	It	-PRON-	PRP
20165	790	2	will	will	MD
20165	790	3	be	be	VB
20165	790	4	seen	see	VBN
20165	790	5	that	that	IN
20165	790	6	if	if	IN
20165	790	7	a	a	DT
20165	790	8	horizontal	horizontal	JJ
20165	790	9	line	line	NN
20165	790	10	is	be	VBZ
20165	790	11	drawn	draw	VBN
20165	790	12	from	from	IN
20165	790	13	the	the	DT
20165	790	14	foot	foot	NN
20165	790	15	of	of	IN
20165	790	16	one	one	CD
20165	790	17	of	of	IN
20165	790	18	these	these	DT
20165	790	19	figures	figure	NNS
20165	790	20	,	,	,
20165	790	21	say	say	VBP
20165	790	22	_	_	NNP
20165	790	23	G	G	NNP
20165	790	24	_	_	NNP
20165	790	25	,	,	,
20165	790	26	to	to	TO
20165	790	27	point	point	VB
20165	790	28	_	_	NNP
20165	790	29	O	O	NNP
20165	790	30	_	_	NNP
20165	790	31	on	on	IN
20165	790	32	the	the	DT
20165	790	33	edge	edge	NN
20165	790	34	of	of	IN
20165	790	35	the	the	DT
20165	790	36	incline	incline	NN
20165	790	37	,	,	,
20165	790	38	then	then	RB
20165	790	39	dropped	drop	VBD
20165	790	40	vertically	vertically	RB
20165	790	41	to	to	IN
20165	790	42	_	_	NNP
20165	790	43	o	o	NN
20165	790	44	·	·	NFP
20165	790	45	_	_	NNP
20165	790	46	,	,	,
20165	790	47	then	then	RB
20165	790	48	again	again	RB
20165	790	49	carried	carry	VBD
20165	790	50	on	on	RP
20165	790	51	to	to	IN
20165	790	52	_	_	NNP
20165	790	53	o	o	NN
20165	790	54	·	·	NFP
20165	790	55	·	·	NFP
20165	790	56	_	_	NNP
20165	790	57	where	where	WRB
20165	790	58	the	the	DT
20165	790	59	other	other	JJ
20165	790	60	figure	figure	NN
20165	790	61	_	_	NNP
20165	790	62	g	g	NNP
20165	790	63	_	_	NNP
20165	790	64	is	be	VBZ
20165	790	65	,	,	,
20165	790	66	we	-PRON-	PRP
20165	790	67	find	find	VBP
20165	790	68	it	-PRON-	PRP
20165	790	69	is	be	VBZ
20165	790	70	the	the	DT
20165	790	71	same	same	JJ
20165	790	72	height	height	NN
20165	790	73	and	and	CC
20165	790	74	also	also	RB
20165	790	75	that	that	IN
20165	790	76	the	the	DT
20165	790	77	other	other	JJ
20165	790	78	vanishing	vanish	VBG
20165	790	79	scale	scale	NN
20165	790	80	is	be	VBZ
20165	790	81	the	the	DT
20165	790	82	same	same	JJ
20165	790	83	width	width	NN
20165	790	84	at	at	IN
20165	790	85	that	that	DT
20165	790	86	distance	distance	NN
20165	790	87	,	,	,
20165	790	88	so	so	IN
20165	790	89	that	that	IN
20165	790	90	we	-PRON-	PRP
20165	790	91	can	can	MD
20165	790	92	work	work	VB
20165	790	93	from	from	IN
20165	790	94	either	either	DT
20165	790	95	one	one	CD
20165	790	96	or	or	CC
20165	790	97	the	the	DT
20165	790	98	other	other	JJ
20165	790	99	.	.	.
20165	791	1	In	in	IN
20165	791	2	the	the	DT
20165	791	3	event	event	NN
20165	791	4	of	of	IN
20165	791	5	the	the	DT
20165	791	6	rising	rise	VBG
20165	791	7	ground	ground	NN
20165	791	8	being	be	VBG
20165	791	9	uneven	uneven	JJ
20165	791	10	we	-PRON-	PRP
20165	791	11	can	can	MD
20165	791	12	make	make	VB
20165	791	13	use	use	NN
20165	791	14	of	of	IN
20165	791	15	the	the	DT
20165	791	16	scale	scale	NN
20165	791	17	on	on	IN
20165	791	18	the	the	DT
20165	791	19	level	level	NN
20165	791	20	plane	plane	NN
20165	791	21	.	.	.
20165	792	1	XLI	XLI	NNP
20165	792	2	HOW	how	WRB
20165	792	3	TO	to	TO
20165	792	4	FIND	find	VB
20165	792	5	THE	the	DT
20165	792	6	DISTANCE	distance	NN
20165	792	7	OF	of	IN
20165	792	8	A	a	DT
20165	792	9	GIVEN	given	NN
20165	792	10	FIGURE	figure	NN
20165	792	11	OR	or	CC
20165	792	12	POINT	POINT	NNS
20165	792	13	FROM	from	IN
20165	792	14	THE	the	DT
20165	792	15	BASE	BASE	NNP
20165	792	16	LINE	line	NN
20165	792	17	[	[	-LRB-
20165	792	18	Illustration	illustration	NN
20165	792	19	:	:	:
20165	792	20	Fig	Fig	NNP
20165	792	21	.	.	.
20165	793	1	97	97	CD
20165	793	2	.	.	.
20165	793	3	]	]	-RRB-
20165	794	1	Let	let	VB
20165	794	2	_	_	NNP
20165	794	3	P	P	NNP
20165	794	4	_	_	NNP
20165	794	5	be	be	VB
20165	794	6	the	the	DT
20165	794	7	given	give	VBN
20165	794	8	figure	figure	NN
20165	794	9	.	.	.
20165	795	1	Form	form	NN
20165	795	2	scale	scale	NN
20165	795	3	_	_	NNP
20165	795	4	ACS	ACS	NNP
20165	795	5	_	_	NNP
20165	795	6	,	,	,
20165	795	7	_	_	NNP
20165	795	8	S	S	NNP
20165	795	9	_	_	NNP
20165	795	10	being	be	VBG
20165	795	11	the	the	DT
20165	795	12	point	point	NN
20165	795	13	of	of	IN
20165	795	14	sight	sight	NN
20165	795	15	and	and	CC
20165	795	16	_	_	NNP
20165	795	17	D	D	NNP
20165	795	18	_	_	NNP
20165	795	19	the	the	DT
20165	795	20	distance	distance	NN
20165	795	21	.	.	.
20165	796	1	Draw	draw	VB
20165	796	2	horizontal	horizontal	JJ
20165	796	3	_	_	NNP
20165	796	4	do	do	VBP
20165	796	5	_	_	NNP
20165	796	6	through	through	IN
20165	796	7	_	_	NNP
20165	796	8	P	P	NNP
20165	796	9	_	_	NNP
20165	796	10	.	.	.
20165	797	1	From	from	IN
20165	797	2	_	_	NNP
20165	797	3	A	A	NNP
20165	797	4	_	_	NNP
20165	797	5	draw	draw	NN
20165	797	6	diagonal	diagonal	JJ
20165	797	7	_	_	NNP
20165	797	8	AD	AD	NNP
20165	797	9	_	_	NNP
20165	797	10	to	to	IN
20165	797	11	distance	distance	NN
20165	797	12	point	point	NN
20165	797	13	,	,	,
20165	797	14	cutting	cut	VBG
20165	797	15	_	_	NNP
20165	797	16	do	do	VBP
20165	797	17	_	_	NNP
20165	797	18	in	in	IN
20165	797	19	_	_	NNP
20165	797	20	o	o	XX
20165	797	21	_	_	NNP
20165	797	22	,	,	,
20165	797	23	through	through	IN
20165	797	24	_	_	NNP
20165	797	25	o	o	XX
20165	797	26	_	_	NNP
20165	797	27	draw	draw	NN
20165	797	28	_	_	NNP
20165	797	29	SB	SB	NNP
20165	797	30	_	_	NNP
20165	797	31	to	to	TO
20165	797	32	base	base	VB
20165	797	33	,	,	,
20165	797	34	and	and	CC
20165	797	35	we	-PRON-	PRP
20165	797	36	now	now	RB
20165	797	37	have	have	VBP
20165	797	38	a	a	DT
20165	797	39	square	square	JJ
20165	797	40	_	_	NNP
20165	797	41	AdoB	AdoB	NNP
20165	797	42	_	_	NNP
20165	797	43	on	on	IN
20165	797	44	the	the	DT
20165	797	45	perspective	perspective	JJ
20165	797	46	plane	plane	NN
20165	797	47	;	;	:
20165	797	48	and	and	CC
20165	797	49	as	as	IN
20165	797	50	figure	figure	NN
20165	797	51	_	_	NNP
20165	797	52	P	P	NNP
20165	797	53	_	_	NNP
20165	797	54	is	be	VBZ
20165	797	55	standing	stand	VBG
20165	797	56	on	on	IN
20165	797	57	the	the	DT
20165	797	58	far	far	JJ
20165	797	59	side	side	NN
20165	797	60	of	of	IN
20165	797	61	that	that	DT
20165	797	62	square	square	NN
20165	797	63	it	-PRON-	PRP
20165	797	64	must	must	MD
20165	797	65	be	be	VB
20165	797	66	the	the	DT
20165	797	67	distance	distance	NN
20165	797	68	_	_	NNP
20165	797	69	AB	AB	NNP
20165	797	70	_	_	NNP
20165	797	71	,	,	,
20165	797	72	which	which	WDT
20165	797	73	is	be	VBZ
20165	797	74	one	one	CD
20165	797	75	side	side	NN
20165	797	76	of	of	IN
20165	797	77	it	-PRON-	PRP
20165	797	78	,	,	,
20165	797	79	from	from	IN
20165	797	80	the	the	DT
20165	797	81	base	base	NN
20165	797	82	line	line	NN
20165	797	83	--	--	:
20165	797	84	or	or	CC
20165	797	85	picture	picture	NN
20165	797	86	plane	plane	NN
20165	797	87	.	.	.
20165	798	1	For	for	IN
20165	798	2	figures	figure	NNS
20165	798	3	very	very	RB
20165	798	4	far	far	RB
20165	798	5	away	away	RB
20165	798	6	it	-PRON-	PRP
20165	798	7	might	may	MD
20165	798	8	be	be	VB
20165	798	9	necessary	necessary	JJ
20165	798	10	to	to	TO
20165	798	11	make	make	VB
20165	798	12	use	use	NN
20165	798	13	of	of	IN
20165	798	14	half	half	JJ
20165	798	15	-	-	HYPH
20165	798	16	distance	distance	NN
20165	798	17	.	.	.
20165	799	1	XLII	xlii	VB
20165	799	2	HOW	how	WRB
20165	799	3	TO	to	TO
20165	799	4	MEASURE	measure	VB
20165	799	5	THE	the	DT
20165	799	6	HEIGHT	HEIGHT	NNP
20165	799	7	OF	of	IN
20165	799	8	FIGURES	figures	NN
20165	799	9	ON	on	NN
20165	799	10	UNEVEN	uneven	JJ
20165	799	11	GROUND	ground	NN
20165	799	12	In	in	IN
20165	799	13	previous	previous	JJ
20165	799	14	problems	problem	NNS
20165	799	15	we	-PRON-	PRP
20165	799	16	have	have	VBP
20165	799	17	drawn	draw	VBN
20165	799	18	figures	figure	NNS
20165	799	19	on	on	IN
20165	799	20	level	level	NN
20165	799	21	planes	plane	NNS
20165	799	22	,	,	,
20165	799	23	which	which	WDT
20165	799	24	is	be	VBZ
20165	799	25	easy	easy	JJ
20165	799	26	enough	enough	RB
20165	799	27	.	.	.
20165	800	1	We	-PRON-	PRP
20165	800	2	have	have	VBP
20165	800	3	now	now	RB
20165	800	4	to	to	TO
20165	800	5	represent	represent	VB
20165	800	6	some	some	DT
20165	800	7	above	above	RB
20165	800	8	and	and	CC
20165	800	9	some	some	DT
20165	800	10	below	below	IN
20165	800	11	the	the	DT
20165	800	12	perspective	perspective	JJ
20165	800	13	plane	plane	NN
20165	800	14	.	.	.
20165	801	1	[	[	-LRB-
20165	801	2	Illustration	illustration	NN
20165	801	3	:	:	:
20165	801	4	Fig	Fig	NNP
20165	801	5	.	.	.
20165	802	1	98	98	CD
20165	802	2	.	.	.
20165	802	3	]	]	-RRB-
20165	803	1	Form	form	NN
20165	803	2	scale	scale	NN
20165	803	3	_	_	NNP
20165	803	4	bS	bS	NNP
20165	803	5	_	_	NNP
20165	803	6	,	,	,
20165	803	7	_	_	NNP
20165	803	8	cS	cS	NNP
20165	803	9	_	_	NNP
20165	803	10	;	;	:
20165	803	11	mark	mark	VB
20165	803	12	off	off	RP
20165	803	13	distances	distance	NNS
20165	803	14	20	20	CD
20165	803	15	feet	foot	NNS
20165	803	16	,	,	,
20165	803	17	40	40	CD
20165	803	18	feet	foot	NNS
20165	803	19	,	,	,
20165	803	20	&	&	CC
20165	803	21	c.	c.	NNP
20165	803	22	Suppose	Suppose	NNP
20165	803	23	figure	figure	NN
20165	803	24	_	_	NNP
20165	803	25	K	K	NNP
20165	803	26	_	_	NNP
20165	803	27	to	to	TO
20165	803	28	be	be	VB
20165	803	29	60	60	CD
20165	803	30	feet	foot	NNS
20165	803	31	off	off	RB
20165	803	32	.	.	.
20165	804	1	From	from	IN
20165	804	2	point	point	NN
20165	804	3	at	at	IN
20165	804	4	his	-PRON-	PRP$
20165	804	5	feet	foot	NNS
20165	804	6	draw	draw	VBP
20165	804	7	horizontal	horizontal	RB
20165	804	8	to	to	TO
20165	804	9	meet	meet	VB
20165	804	10	vertical	vertical	JJ
20165	804	11	_	_	NNP
20165	804	12	On	on	IN
20165	804	13	_	_	NNP
20165	804	14	,	,	,
20165	804	15	which	which	WDT
20165	804	16	is	be	VBZ
20165	804	17	60	60	CD
20165	804	18	feet	foot	NNS
20165	804	19	distant	distant	JJ
20165	804	20	.	.	.
20165	805	1	At	at	IN
20165	805	2	the	the	DT
20165	805	3	point	point	NN
20165	805	4	_	_	NNP
20165	805	5	m	m	NNP
20165	805	6	_	_	NNP
20165	805	7	where	where	WRB
20165	805	8	this	this	DT
20165	805	9	line	line	NN
20165	805	10	meets	meet	VBZ
20165	805	11	the	the	DT
20165	805	12	vertical	vertical	JJ
20165	805	13	,	,	,
20165	805	14	measure	measure	VB
20165	805	15	height	height	RB
20165	805	16	_	_	NNP
20165	805	17	mn	mn	NNP
20165	805	18	_	_	NNP
20165	805	19	equal	equal	JJ
20165	805	20	to	to	IN
20165	805	21	width	width	NN
20165	805	22	of	of	IN
20165	805	23	scale	scale	NN
20165	805	24	at	at	IN
20165	805	25	that	that	DT
20165	805	26	distance	distance	NN
20165	805	27	,	,	,
20165	805	28	transfer	transfer	VB
20165	805	29	this	this	DT
20165	805	30	to	to	IN
20165	805	31	_	_	NNP
20165	805	32	K	K	NNP
20165	805	33	_	_	NNP
20165	805	34	,	,	,
20165	805	35	and	and	CC
20165	805	36	you	-PRON-	PRP
20165	805	37	have	have	VBP
20165	805	38	the	the	DT
20165	805	39	required	require	VBN
20165	805	40	height	height	NN
20165	805	41	of	of	IN
20165	805	42	the	the	DT
20165	805	43	figure	figure	NN
20165	805	44	in	in	IN
20165	805	45	black	black	NN
20165	805	46	.	.	.
20165	806	1	For	for	IN
20165	806	2	the	the	DT
20165	806	3	figures	figure	NNS
20165	806	4	under	under	IN
20165	806	5	the	the	DT
20165	806	6	cliff	cliff	NN
20165	806	7	20	20	CD
20165	806	8	feet	foot	NNS
20165	806	9	below	below	IN
20165	806	10	the	the	DT
20165	806	11	perspective	perspective	JJ
20165	806	12	plane	plane	NN
20165	806	13	,	,	,
20165	806	14	form	form	NN
20165	806	15	scale	scale	NN
20165	806	16	_	_	NNP
20165	806	17	FS	FS	NNP
20165	806	18	_	_	NNP
20165	806	19	,	,	,
20165	806	20	_	_	NNP
20165	806	21	GS	GS	NNP
20165	806	22	_	_	NNP
20165	806	23	,	,	,
20165	806	24	making	make	VBG
20165	806	25	it	-PRON-	PRP
20165	806	26	the	the	DT
20165	806	27	same	same	JJ
20165	806	28	width	width	NN
20165	806	29	as	as	IN
20165	806	30	the	the	DT
20165	806	31	other	other	JJ
20165	806	32	,	,	,
20165	806	33	namely	namely	RB
20165	806	34	5	5	CD
20165	806	35	feet	foot	NNS
20165	806	36	,	,	,
20165	806	37	and	and	CC
20165	806	38	proceed	proceed	VB
20165	806	39	in	in	IN
20165	806	40	the	the	DT
20165	806	41	usual	usual	JJ
20165	806	42	way	way	NN
20165	806	43	to	to	TO
20165	806	44	find	find	VB
20165	806	45	the	the	DT
20165	806	46	height	height	NN
20165	806	47	of	of	IN
20165	806	48	the	the	DT
20165	806	49	figures	figure	NNS
20165	806	50	on	on	IN
20165	806	51	the	the	DT
20165	806	52	sands	sand	NNS
20165	806	53	,	,	,
20165	806	54	which	which	WDT
20165	806	55	are	be	VBP
20165	806	56	here	here	RB
20165	806	57	supposed	suppose	VBN
20165	806	58	to	to	TO
20165	806	59	be	be	VB
20165	806	60	nearly	nearly	RB
20165	806	61	on	on	IN
20165	806	62	a	a	DT
20165	806	63	level	level	NN
20165	806	64	with	with	IN
20165	806	65	the	the	DT
20165	806	66	sea	sea	NN
20165	806	67	,	,	,
20165	806	68	of	of	IN
20165	806	69	course	course	NN
20165	806	70	making	make	VBG
20165	806	71	allowance	allowance	NN
20165	806	72	for	for	IN
20165	806	73	different	different	JJ
20165	806	74	heights	height	NNS
20165	806	75	and	and	CC
20165	806	76	various	various	JJ
20165	806	77	other	other	JJ
20165	806	78	things	thing	NNS
20165	806	79	.	.	.
20165	807	1	XLIII	XLIII	NNP
20165	807	2	FURTHER	further	JJ
20165	807	3	ILLUSTRATION	illustration	NN
20165	807	4	OF	of	IN
20165	807	5	THE	the	DT
20165	807	6	SIZE	SIZE	NNP
20165	807	7	OF	of	IN
20165	807	8	FIGURES	FIGURES	NNP
20165	807	9	AT	at	IN
20165	807	10	DIFFERENT	different	JJ
20165	807	11	DISTANCES	distances	NN
20165	807	12	AND	and	CC
20165	807	13	ON	on	IN
20165	807	14	UNEVEN	uneven	JJ
20165	807	15	GROUND	ground	NN
20165	807	16	[	[	-LRB-
20165	807	17	Illustration	illustration	NN
20165	807	18	:	:	:
20165	807	19	Fig	Fig	NNP
20165	807	20	.	.	.
20165	808	1	99	99	CD
20165	808	2	.	.	.
20165	808	3	]	]	-RRB-
20165	809	1	Let	let	VB
20165	809	2	_	_	NNP
20165	809	3	ab	ab	NNP
20165	809	4	_	_	NNP
20165	809	5	be	be	VB
20165	809	6	the	the	DT
20165	809	7	height	height	NN
20165	809	8	of	of	IN
20165	809	9	a	a	DT
20165	809	10	figure	figure	NN
20165	809	11	,	,	,
20165	809	12	say	say	VBP
20165	809	13	6	6	CD
20165	809	14	feet	foot	NNS
20165	809	15	.	.	.
20165	810	1	First	first	JJ
20165	810	2	form	form	NN
20165	810	3	scale	scale	NN
20165	810	4	_	_	NNP
20165	810	5	aS	aS	NNP
20165	810	6	_	_	NNP
20165	810	7	,	,	,
20165	810	8	_	_	NNP
20165	810	9	bS	bS	NNP
20165	810	10	_	_	NNP
20165	810	11	,	,	,
20165	810	12	the	the	DT
20165	810	13	lower	low	JJR
20165	810	14	line	line	NN
20165	810	15	of	of	IN
20165	810	16	which	which	WDT
20165	810	17	,	,	,
20165	810	18	_	_	NNP
20165	810	19	aS	aS	NNP
20165	810	20	_	_	NNP
20165	810	21	,	,	,
20165	810	22	is	be	VBZ
20165	810	23	on	on	IN
20165	810	24	a	a	DT
20165	810	25	level	level	NN
20165	810	26	with	with	IN
20165	810	27	the	the	DT
20165	810	28	base	base	NN
20165	810	29	or	or	CC
20165	810	30	on	on	IN
20165	810	31	the	the	DT
20165	810	32	perspective	perspective	JJ
20165	810	33	plane	plane	NN
20165	810	34	.	.	.
20165	811	1	The	the	DT
20165	811	2	figure	figure	NN
20165	811	3	marked	mark	VBD
20165	811	4	_	_	NNP
20165	811	5	C	C	NNP
20165	811	6	_	_	NNP
20165	811	7	is	be	VBZ
20165	811	8	close	close	JJ
20165	811	9	to	to	IN
20165	811	10	base	base	NN
20165	811	11	,	,	,
20165	811	12	the	the	DT
20165	811	13	group	group	NN
20165	811	14	of	of	IN
20165	811	15	three	three	CD
20165	811	16	is	be	VBZ
20165	811	17	farther	farther	RB
20165	811	18	off	off	RB
20165	811	19	(	(	-LRB-
20165	811	20	24	24	CD
20165	811	21	feet	foot	NNS
20165	811	22	)	)	-RRB-
20165	811	23	,	,	,
20165	811	24	and	and	CC
20165	811	25	6	6	CD
20165	811	26	feet	foot	NNS
20165	811	27	higher	high	JJR
20165	811	28	up	up	RB
20165	811	29	,	,	,
20165	811	30	so	so	RB
20165	811	31	we	-PRON-	PRP
20165	811	32	measure	measure	VBP
20165	811	33	the	the	DT
20165	811	34	height	height	NN
20165	811	35	on	on	IN
20165	811	36	the	the	DT
20165	811	37	vanishing	vanish	VBG
20165	811	38	scale	scale	NN
20165	811	39	and	and	CC
20165	811	40	also	also	RB
20165	811	41	above	above	IN
20165	811	42	it	-PRON-	PRP
20165	811	43	.	.	.
20165	812	1	The	the	DT
20165	812	2	two	two	CD
20165	812	3	girls	girl	NNS
20165	812	4	carrying	carry	VBG
20165	812	5	fish	fish	NN
20165	812	6	are	be	VBP
20165	812	7	still	still	RB
20165	812	8	farther	farther	RB
20165	812	9	off	off	RB
20165	812	10	,	,	,
20165	812	11	and	and	CC
20165	812	12	about	about	RB
20165	812	13	12	12	CD
20165	812	14	feet	foot	NNS
20165	812	15	below	below	RB
20165	812	16	.	.	.
20165	813	1	To	to	TO
20165	813	2	tell	tell	VB
20165	813	3	how	how	WRB
20165	813	4	far	far	RB
20165	813	5	a	a	DT
20165	813	6	figure	figure	NN
20165	813	7	is	be	VBZ
20165	813	8	away	away	RB
20165	813	9	,	,	,
20165	813	10	refer	refer	VB
20165	813	11	its	-PRON-	PRP$
20165	813	12	measurements	measurement	NNS
20165	813	13	to	to	IN
20165	813	14	the	the	DT
20165	813	15	vanishing	vanish	VBG
20165	813	16	scale	scale	NN
20165	813	17	(	(	-LRB-
20165	813	18	see	see	VB
20165	813	19	Fig	Fig	NNP
20165	813	20	.	.	.
20165	814	1	96	96	CD
20165	814	2	)	)	-RRB-
20165	814	3	.	.	.
20165	815	1	XLIV	xliv	NN
20165	815	2	FIGURES	figure	VBN
20165	815	3	ON	on	IN
20165	815	4	A	a	DT
20165	815	5	DESCENDING	descending	JJ
20165	815	6	PLANE	plane	NN
20165	815	7	In	in	IN
20165	815	8	this	this	DT
20165	815	9	case	case	NN
20165	815	10	(	(	-LRB-
20165	815	11	Fig	fig	NN
20165	815	12	.	.	.
20165	816	1	100	100	LS
20165	816	2	)	)	-RRB-
20165	816	3	the	the	DT
20165	816	4	same	same	JJ
20165	816	5	rule	rule	NN
20165	816	6	applies	apply	VBZ
20165	816	7	as	as	IN
20165	816	8	in	in	IN
20165	816	9	the	the	DT
20165	816	10	previous	previous	JJ
20165	816	11	problem	problem	NN
20165	816	12	,	,	,
20165	816	13	but	but	CC
20165	816	14	as	as	IN
20165	816	15	the	the	DT
20165	816	16	road	road	NN
20165	816	17	on	on	IN
20165	816	18	the	the	DT
20165	816	19	left	left	NN
20165	816	20	is	be	VBZ
20165	816	21	going	go	VBG
20165	816	22	down	down	RB
20165	816	23	hill	hill	NN
20165	816	24	,	,	,
20165	816	25	the	the	DT
20165	816	26	vanishing	vanish	VBG
20165	816	27	point	point	NN
20165	816	28	of	of	IN
20165	816	29	the	the	DT
20165	816	30	inclined	inclined	JJ
20165	816	31	plane	plane	NN
20165	816	32	is	be	VBZ
20165	816	33	below	below	IN
20165	816	34	the	the	DT
20165	816	35	horizon	horizon	NN
20165	816	36	at	at	IN
20165	816	37	point	point	NN
20165	816	38	_	_	NNP
20165	816	39	S	S	NNP
20165	816	40	·	·	NFP
20165	816	41	_	_	NNP
20165	816	42	;	;	:
20165	816	43	_	_	NNP
20165	816	44	AS	AS	NNP
20165	816	45	_	_	NNP
20165	816	46	,	,	,
20165	816	47	_	_	NNP
20165	816	48	BS	BS	NNP
20165	816	49	_	_	NNP
20165	816	50	is	be	VBZ
20165	816	51	the	the	DT
20165	816	52	vanishing	vanish	VBG
20165	816	53	scale	scale	NN
20165	816	54	on	on	IN
20165	816	55	the	the	DT
20165	816	56	level	level	NN
20165	816	57	plane	plane	NN
20165	816	58	;	;	:
20165	816	59	and	and	CC
20165	816	60	_	_	NNP
20165	816	61	A·S	A·S	NNP
20165	816	62	·	·	NFP
20165	816	63	_	_	NNP
20165	816	64	,	,	,
20165	816	65	_	_	NNP
20165	816	66	B·S	B·S	NNP
20165	816	67	·	·	NFP
20165	816	68	_	_	NNP
20165	816	69	,	,	,
20165	816	70	that	that	IN
20165	816	71	on	on	IN
20165	816	72	the	the	DT
20165	816	73	incline	incline	NN
20165	816	74	.	.	.
20165	817	1	Fig	fig	NN
20165	817	2	.	.	.
20165	818	1	101	101	CD
20165	818	2	.	.	.
20165	819	1	This	this	DT
20165	819	2	is	be	VBZ
20165	819	3	an	an	DT
20165	819	4	outline	outline	NN
20165	819	5	of	of	IN
20165	819	6	above	above	JJ
20165	819	7	figure	figure	NN
20165	819	8	to	to	TO
20165	819	9	show	show	VB
20165	819	10	the	the	DT
20165	819	11	working	working	NN
20165	819	12	more	more	RBR
20165	819	13	plainly	plainly	RB
20165	819	14	.	.	.
20165	820	1	Note	note	VB
20165	820	2	the	the	DT
20165	820	3	wall	wall	NN
20165	820	4	to	to	IN
20165	820	5	the	the	DT
20165	820	6	left	left	JJ
20165	820	7	marked	mark	VBN
20165	820	8	_	_	NNP
20165	820	9	W	W	NNP
20165	820	10	_	_	NNP
20165	820	11	and	and	CC
20165	820	12	the	the	DT
20165	820	13	manner	manner	NN
20165	820	14	in	in	IN
20165	820	15	which	which	WDT
20165	820	16	it	-PRON-	PRP
20165	820	17	appears	appear	VBZ
20165	820	18	to	to	TO
20165	820	19	drop	drop	VB
20165	820	20	at	at	IN
20165	820	21	certain	certain	JJ
20165	820	22	intervals	interval	NNS
20165	820	23	,	,	,
20165	820	24	its	-PRON-	PRP$
20165	820	25	base	base	NN
20165	820	26	corresponding	correspond	VBG
20165	820	27	with	with	IN
20165	820	28	the	the	DT
20165	820	29	inclined	incline	VBN
20165	820	30	plane	plane	NN
20165	820	31	,	,	,
20165	820	32	but	but	CC
20165	820	33	the	the	DT
20165	820	34	upper	upper	JJ
20165	820	35	lines	line	NNS
20165	820	36	of	of	IN
20165	820	37	each	each	DT
20165	820	38	division	division	NN
20165	820	39	being	be	VBG
20165	820	40	made	make	VBN
20165	820	41	level	level	NN
20165	820	42	are	be	VBP
20165	820	43	drawn	draw	VBN
20165	820	44	to	to	IN
20165	820	45	the	the	DT
20165	820	46	point	point	NN
20165	820	47	of	of	IN
20165	820	48	sight	sight	NN
20165	820	49	,	,	,
20165	820	50	or	or	CC
20165	820	51	to	to	IN
20165	820	52	their	-PRON-	PRP$
20165	820	53	vanishing	vanishing	JJ
20165	820	54	point	point	NN
20165	820	55	on	on	IN
20165	820	56	the	the	DT
20165	820	57	horizon	horizon	NN
20165	820	58	;	;	:
20165	820	59	it	-PRON-	PRP
20165	820	60	is	be	VBZ
20165	820	61	important	important	JJ
20165	820	62	to	to	TO
20165	820	63	observe	observe	VB
20165	820	64	this	this	DT
20165	820	65	,	,	,
20165	820	66	as	as	IN
20165	820	67	it	-PRON-	PRP
20165	820	68	aids	aid	VBZ
20165	820	69	greatly	greatly	RB
20165	820	70	in	in	IN
20165	820	71	drawing	draw	VBG
20165	820	72	a	a	DT
20165	820	73	road	road	NN
20165	820	74	going	go	VBG
20165	820	75	down	down	IN
20165	820	76	hill	hill	NN
20165	820	77	.	.	.
20165	821	1	[	[	-LRB-
20165	821	2	Illustration	illustration	NN
20165	821	3	:	:	:
20165	821	4	Fig	Fig	NNP
20165	821	5	.	.	.
20165	822	1	100	100	CD
20165	822	2	.	.	.
20165	822	3	]	]	-RRB-
20165	823	1	[	[	-LRB-
20165	823	2	Illustration	illustration	NN
20165	823	3	:	:	:
20165	823	4	Fig	Fig	NNP
20165	823	5	.	.	.
20165	824	1	101	101	CD
20165	824	2	.	.	.
20165	824	3	]	]	-RRB-
20165	825	1	[	[	-LRB-
20165	825	2	Illustration	illustration	NN
20165	825	3	:	:	:
20165	825	4	Fig	Fig	NNP
20165	825	5	.	.	.
20165	826	1	102	102	CD
20165	826	2	.	.	.
20165	826	3	]	]	-RRB-
20165	827	1	XLV	XLV	NNP
20165	827	2	FURTHER	further	JJ
20165	827	3	ILLUSTRATION	illustration	NN
20165	827	4	OF	of	IN
20165	827	5	THE	the	DT
20165	827	6	DESCENDING	DESCENDING	NNP
20165	827	7	PLANE	PLANE	VBN
20165	827	8	In	in	IN
20165	827	9	the	the	DT
20165	827	10	centre	centre	NN
20165	827	11	of	of	IN
20165	827	12	this	this	DT
20165	827	13	picture	picture	NN
20165	827	14	(	(	-LRB-
20165	827	15	Fig	fig	NN
20165	827	16	.	.	.
20165	828	1	102	102	LS
20165	828	2	)	)	-RRB-
20165	828	3	we	-PRON-	PRP
20165	828	4	suppose	suppose	VBP
20165	828	5	the	the	DT
20165	828	6	road	road	NN
20165	828	7	to	to	TO
20165	828	8	be	be	VB
20165	828	9	descending	descend	VBG
20165	828	10	till	till	IN
20165	828	11	it	-PRON-	PRP
20165	828	12	reaches	reach	VBZ
20165	828	13	a	a	DT
20165	828	14	tunnel	tunnel	NN
20165	828	15	which	which	WDT
20165	828	16	goes	go	VBZ
20165	828	17	under	under	IN
20165	828	18	a	a	DT
20165	828	19	road	road	NN
20165	828	20	or	or	CC
20165	828	21	leads	lead	VBZ
20165	828	22	to	to	IN
20165	828	23	a	a	DT
20165	828	24	river	river	NN
20165	828	25	(	(	-LRB-
20165	828	26	like	like	UH
20165	828	27	one	one	CD
20165	828	28	leading	lead	VBG
20165	828	29	out	out	IN
20165	828	30	of	of	IN
20165	828	31	the	the	DT
20165	828	32	Strand	Strand	NNP
20165	828	33	near	near	IN
20165	828	34	Somerset	Somerset	NNP
20165	828	35	House	House	NNP
20165	828	36	)	)	-RRB-
20165	828	37	.	.	.
20165	829	1	It	-PRON-	PRP
20165	829	2	is	be	VBZ
20165	829	3	drawn	draw	VBN
20165	829	4	on	on	IN
20165	829	5	the	the	DT
20165	829	6	same	same	JJ
20165	829	7	principle	principle	NN
20165	829	8	as	as	IN
20165	829	9	the	the	DT
20165	829	10	foregoing	foregoing	NN
20165	829	11	figure	figure	NN
20165	829	12	.	.	.
20165	830	1	Of	of	RB
20165	830	2	course	course	RB
20165	830	3	to	to	TO
20165	830	4	see	see	VB
20165	830	5	the	the	DT
20165	830	6	road	road	NN
20165	830	7	the	the	DT
20165	830	8	spectator	spectator	NN
20165	830	9	must	must	MD
20165	830	10	get	get	VB
20165	830	11	pretty	pretty	RB
20165	830	12	near	near	RB
20165	830	13	to	to	IN
20165	830	14	it	-PRON-	PRP
20165	830	15	,	,	,
20165	830	16	otherwise	otherwise	RB
20165	830	17	it	-PRON-	PRP
20165	830	18	will	will	MD
20165	830	19	be	be	VB
20165	830	20	out	out	IN
20165	830	21	of	of	IN
20165	830	22	sight	sight	NN
20165	830	23	.	.	.
20165	831	1	Also	also	RB
20165	831	2	a	a	DT
20165	831	3	level	level	NN
20165	831	4	plane	plane	NN
20165	831	5	must	must	MD
20165	831	6	be	be	VB
20165	831	7	shown	show	VBN
20165	831	8	,	,	,
20165	831	9	as	as	IN
20165	831	10	by	by	IN
20165	831	11	its	-PRON-	PRP$
20165	831	12	contrast	contrast	NN
20165	831	13	to	to	IN
20165	831	14	the	the	DT
20165	831	15	other	other	JJ
20165	831	16	we	-PRON-	PRP
20165	831	17	perceive	perceive	VBP
20165	831	18	that	that	IN
20165	831	19	the	the	DT
20165	831	20	latter	latter	NN
20165	831	21	is	be	VBZ
20165	831	22	going	go	VBG
20165	831	23	down	down	RB
20165	831	24	hill	hill	NN
20165	831	25	.	.	.
20165	832	1	XLVI	xlvi	VB
20165	832	2	FURTHER	further	JJ
20165	832	3	ILLUSTRATION	illustration	NN
20165	832	4	OF	of	IN
20165	832	5	UNEVEN	uneven	JJ
20165	832	6	GROUND	ground	NN
20165	832	7	An	an	DT
20165	832	8	extended	extended	JJ
20165	832	9	view	view	NN
20165	832	10	drawn	draw	VBN
20165	832	11	from	from	IN
20165	832	12	a	a	DT
20165	832	13	height	height	NN
20165	832	14	of	of	IN
20165	832	15	about	about	RB
20165	832	16	30	30	CD
20165	832	17	feet	foot	NNS
20165	832	18	from	from	IN
20165	832	19	a	a	DT
20165	832	20	road	road	NN
20165	832	21	that	that	WDT
20165	832	22	descends	descend	VBZ
20165	832	23	about	about	IN
20165	832	24	45	45	CD
20165	832	25	feet	foot	NNS
20165	832	26	.	.	.
20165	833	1	[	[	-LRB-
20165	833	2	Illustration	illustration	NN
20165	833	3	:	:	:
20165	833	4	Fig	Fig	NNP
20165	833	5	.	.	.
20165	834	1	103	103	CD
20165	834	2	.	.	.
20165	835	1	Farningham	Farningham	NNP
20165	835	2	.	.	.
20165	835	3	]	]	-RRB-
20165	836	1	In	in	IN
20165	836	2	drawing	draw	VBG
20165	836	3	a	a	DT
20165	836	4	landscape	landscape	NN
20165	836	5	such	such	JJ
20165	836	6	as	as	IN
20165	836	7	Fig	Fig	NNP
20165	836	8	.	.	.
20165	837	1	103	103	CD
20165	837	2	we	-PRON-	PRP
20165	837	3	have	have	VBP
20165	837	4	to	to	TO
20165	837	5	bear	bear	VB
20165	837	6	in	in	IN
20165	837	7	mind	mind	NN
20165	837	8	the	the	DT
20165	837	9	height	height	NN
20165	837	10	of	of	IN
20165	837	11	the	the	DT
20165	837	12	horizon	horizon	NN
20165	837	13	,	,	,
20165	837	14	which	which	WDT
20165	837	15	being	be	VBG
20165	837	16	exactly	exactly	RB
20165	837	17	opposite	opposite	JJ
20165	837	18	the	the	DT
20165	837	19	eye	eye	NN
20165	837	20	,	,	,
20165	837	21	shows	show	VBZ
20165	837	22	us	-PRON-	PRP
20165	837	23	at	at	IN
20165	837	24	once	once	RB
20165	837	25	which	which	WDT
20165	837	26	objects	object	NNS
20165	837	27	are	be	VBP
20165	837	28	below	below	RB
20165	837	29	and	and	CC
20165	837	30	which	which	WDT
20165	837	31	are	be	VBP
20165	837	32	above	above	IN
20165	837	33	us	-PRON-	PRP
20165	837	34	,	,	,
20165	837	35	and	and	CC
20165	837	36	to	to	TO
20165	837	37	draw	draw	VB
20165	837	38	them	-PRON-	PRP
20165	837	39	accordingly	accordingly	RB
20165	837	40	,	,	,
20165	837	41	especially	especially	RB
20165	837	42	roofs	roof	NNS
20165	837	43	,	,	,
20165	837	44	buildings	building	NNS
20165	837	45	,	,	,
20165	837	46	walls	wall	NNS
20165	837	47	,	,	,
20165	837	48	hedges	hedge	NNS
20165	837	49	,	,	,
20165	837	50	&	&	CC
20165	837	51	c.	c.	NNP
20165	837	52	;	;	:
20165	837	53	also	also	RB
20165	837	54	it	-PRON-	PRP
20165	837	55	is	be	VBZ
20165	837	56	well	well	JJ
20165	837	57	to	to	TO
20165	837	58	sketch	sketch	VB
20165	837	59	in	in	IN
20165	837	60	the	the	DT
20165	837	61	different	different	JJ
20165	837	62	fields	field	NNS
20165	837	63	figures	figure	NNS
20165	837	64	of	of	IN
20165	837	65	men	man	NNS
20165	837	66	and	and	CC
20165	837	67	cattle	cattle	NNS
20165	837	68	,	,	,
20165	837	69	as	as	IN
20165	837	70	from	from	IN
20165	837	71	the	the	DT
20165	837	72	size	size	NN
20165	837	73	of	of	IN
20165	837	74	these	these	DT
20165	837	75	we	-PRON-	PRP
20165	837	76	can	can	MD
20165	837	77	judge	judge	VB
20165	837	78	of	of	IN
20165	837	79	the	the	DT
20165	837	80	rest	rest	NN
20165	837	81	.	.	.
20165	838	1	XLVII	XLVII	NNP
20165	838	2	THE	the	DT
20165	838	3	PICTURE	picture	NN
20165	838	4	STANDING	stand	VBG
20165	838	5	ON	on	IN
20165	838	6	THE	the	DT
20165	838	7	GROUND	GROUND	NNP
20165	838	8	Let	let	VB
20165	838	9	_	_	NNP
20165	838	10	K	K	NNP
20165	838	11	_	_	NNP
20165	838	12	represent	represent	VB
20165	838	13	a	a	DT
20165	838	14	frame	frame	NN
20165	838	15	placed	place	VBN
20165	838	16	vertically	vertically	RB
20165	838	17	and	and	CC
20165	838	18	at	at	IN
20165	838	19	a	a	DT
20165	838	20	given	give	VBN
20165	838	21	distance	distance	NN
20165	838	22	in	in	IN
20165	838	23	front	front	NN
20165	838	24	of	of	IN
20165	838	25	us	-PRON-	PRP
20165	838	26	.	.	.
20165	839	1	If	if	IN
20165	839	2	stood	stand	VBD
20165	839	3	on	on	IN
20165	839	4	the	the	DT
20165	839	5	ground	ground	NN
20165	839	6	our	-PRON-	PRP$
20165	839	7	foreground	foreground	NN
20165	839	8	will	will	MD
20165	839	9	touch	touch	VB
20165	839	10	the	the	DT
20165	839	11	base	base	NN
20165	839	12	line	line	NN
20165	839	13	of	of	IN
20165	839	14	the	the	DT
20165	839	15	picture	picture	NN
20165	839	16	,	,	,
20165	839	17	and	and	CC
20165	839	18	we	-PRON-	PRP
20165	839	19	can	can	MD
20165	839	20	fix	fix	VB
20165	839	21	up	up	RP
20165	839	22	a	a	DT
20165	839	23	standard	standard	NN
20165	839	24	of	of	IN
20165	839	25	measurement	measurement	NN
20165	839	26	both	both	DT
20165	839	27	on	on	IN
20165	839	28	the	the	DT
20165	839	29	base	base	NN
20165	839	30	and	and	CC
20165	839	31	on	on	IN
20165	839	32	the	the	DT
20165	839	33	side	side	NN
20165	839	34	as	as	IN
20165	839	35	in	in	IN
20165	839	36	this	this	DT
20165	839	37	sketch	sketch	NN
20165	839	38	,	,	,
20165	839	39	taking	take	VBG
20165	839	40	6	6	CD
20165	839	41	feet	foot	NNS
20165	839	42	as	as	IN
20165	839	43	about	about	IN
20165	839	44	the	the	DT
20165	839	45	height	height	NN
20165	839	46	of	of	IN
20165	839	47	the	the	DT
20165	839	48	figures	figure	NNS
20165	839	49	.	.	.
20165	840	1	[	[	-LRB-
20165	840	2	Illustration	illustration	NN
20165	840	3	:	:	:
20165	840	4	Fig	Fig	NNP
20165	840	5	.	.	.
20165	841	1	104	104	CD
20165	841	2	.	.	.
20165	842	1	Toledo	Toledo	NNP
20165	842	2	.	.	.
20165	842	3	]	]	-RRB-
20165	843	1	XLVIII	xlviii	VB
20165	843	2	THE	the	DT
20165	843	3	PICTURE	picture	NN
20165	843	4	ON	on	IN
20165	843	5	A	a	DT
20165	843	6	HEIGHT	height	NN
20165	843	7	If	if	IN
20165	843	8	we	-PRON-	PRP
20165	843	9	are	be	VBP
20165	843	10	looking	look	VBG
20165	843	11	at	at	IN
20165	843	12	a	a	DT
20165	843	13	scene	scene	NN
20165	843	14	from	from	IN
20165	843	15	a	a	DT
20165	843	16	height	height	NN
20165	843	17	,	,	,
20165	843	18	that	that	DT
20165	843	19	is	be	VBZ
20165	843	20	from	from	IN
20165	843	21	a	a	DT
20165	843	22	terrace	terrace	NN
20165	843	23	,	,	,
20165	843	24	or	or	CC
20165	843	25	a	a	DT
20165	843	26	window	window	NN
20165	843	27	,	,	,
20165	843	28	or	or	CC
20165	843	29	a	a	DT
20165	843	30	cliff	cliff	NN
20165	843	31	,	,	,
20165	843	32	then	then	RB
20165	843	33	the	the	DT
20165	843	34	near	near	JJ
20165	843	35	foreground	foreground	NN
20165	843	36	,	,	,
20165	843	37	unless	unless	IN
20165	843	38	it	-PRON-	PRP
20165	843	39	be	be	VB
20165	843	40	the	the	DT
20165	843	41	terrace	terrace	NN
20165	843	42	,	,	,
20165	843	43	window	window	NN
20165	843	44	-	-	HYPH
20165	843	45	sill	sill	NN
20165	843	46	,	,	,
20165	843	47	&	&	CC
20165	843	48	c.	c.	NNP
20165	843	49	,	,	,
20165	843	50	would	would	MD
20165	843	51	not	not	RB
20165	843	52	come	come	VB
20165	843	53	into	into	IN
20165	843	54	the	the	DT
20165	843	55	picture	picture	NN
20165	843	56	,	,	,
20165	843	57	and	and	CC
20165	843	58	we	-PRON-	PRP
20165	843	59	could	could	MD
20165	843	60	not	not	RB
20165	843	61	see	see	VB
20165	843	62	the	the	DT
20165	843	63	near	near	JJ
20165	843	64	figures	figure	NNS
20165	843	65	at	at	IN
20165	843	66	_	_	NNP
20165	843	67	A	A	NNP
20165	843	68	_	_	NNP
20165	843	69	,	,	,
20165	843	70	and	and	CC
20165	843	71	the	the	DT
20165	843	72	nearest	near	JJS
20165	843	73	to	to	TO
20165	843	74	come	come	VB
20165	843	75	into	into	IN
20165	843	76	view	view	NN
20165	843	77	would	would	MD
20165	843	78	be	be	VB
20165	843	79	those	those	DT
20165	843	80	at	at	IN
20165	843	81	_	_	NNP
20165	843	82	B	B	NNP
20165	843	83	_	_	NNP
20165	843	84	,	,	,
20165	843	85	so	so	IN
20165	843	86	that	that	IN
20165	843	87	a	a	DT
20165	843	88	view	view	NN
20165	843	89	from	from	IN
20165	843	90	a	a	DT
20165	843	91	window	window	NN
20165	843	92	,	,	,
20165	843	93	&	&	CC
20165	843	94	c.	c.	NNP
20165	843	95	,	,	,
20165	843	96	would	would	MD
20165	843	97	be	be	VB
20165	843	98	as	as	IN
20165	843	99	it	-PRON-	PRP
20165	843	100	were	be	VBD
20165	843	101	without	without	IN
20165	843	102	a	a	DT
20165	843	103	foreground	foreground	NN
20165	843	104	.	.	.
20165	844	1	Note	note	VB
20165	844	2	that	that	IN
20165	844	3	the	the	DT
20165	844	4	figures	figure	NNS
20165	844	5	at	at	IN
20165	844	6	_	_	NNP
20165	844	7	B	B	NNP
20165	844	8	_	_	NNP
20165	844	9	would	would	MD
20165	844	10	be	be	VB
20165	844	11	(	(	-LRB-
20165	844	12	according	accord	VBG
20165	844	13	to	to	IN
20165	844	14	this	this	DT
20165	844	15	sketch	sketch	NN
20165	844	16	)	)	-RRB-
20165	844	17	30	30	CD
20165	844	18	feet	foot	NNS
20165	844	19	from	from	IN
20165	844	20	the	the	DT
20165	844	21	picture	picture	NN
20165	844	22	plane	plane	NN
20165	844	23	and	and	CC
20165	844	24	about	about	RB
20165	844	25	18	18	CD
20165	844	26	feet	foot	NNS
20165	844	27	below	below	IN
20165	844	28	the	the	DT
20165	844	29	base	base	NN
20165	844	30	line	line	NN
20165	844	31	.	.	.
20165	845	1	[	[	-LRB-
20165	845	2	Illustration	illustration	NN
20165	845	3	:	:	:
20165	845	4	Fig	Fig	NNP
20165	845	5	.	.	.
20165	846	1	105	105	CD
20165	846	2	.	.	.
20165	846	3	]	]	-RRB-
20165	847	1	BOOK	BOOK	NNP
20165	847	2	THIRD	THIRD	NNP
20165	847	3	XLIX	xlix	NN
20165	847	4	ANGULAR	ANGULAR	NNS
20165	847	5	PERSPECTIVE	perspective	NN
20165	847	6	Hitherto	Hitherto	NNP
20165	847	7	we	-PRON-	PRP
20165	847	8	have	have	VBP
20165	847	9	spoken	speak	VBN
20165	847	10	only	only	RB
20165	847	11	of	of	IN
20165	847	12	parallel	parallel	JJ
20165	847	13	perspective	perspective	NN
20165	847	14	,	,	,
20165	847	15	which	which	WDT
20165	847	16	is	be	VBZ
20165	847	17	comparatively	comparatively	RB
20165	847	18	easy	easy	JJ
20165	847	19	,	,	,
20165	847	20	and	and	CC
20165	847	21	in	in	IN
20165	847	22	our	-PRON-	PRP$
20165	847	23	first	first	JJ
20165	847	24	figure	figure	NN
20165	847	25	we	-PRON-	PRP
20165	847	26	placed	place	VBD
20165	847	27	the	the	DT
20165	847	28	cube	cube	NN
20165	847	29	with	with	IN
20165	847	30	one	one	CD
20165	847	31	of	of	IN
20165	847	32	its	-PRON-	PRP$
20165	847	33	sides	side	NNS
20165	847	34	either	either	CC
20165	847	35	touching	touching	JJ
20165	847	36	or	or	CC
20165	847	37	parallel	parallel	JJ
20165	847	38	to	to	IN
20165	847	39	the	the	DT
20165	847	40	transparent	transparent	JJ
20165	847	41	plane	plane	NN
20165	847	42	.	.	.
20165	848	1	We	-PRON-	PRP
20165	848	2	now	now	RB
20165	848	3	place	place	VBP
20165	848	4	it	-PRON-	PRP
20165	848	5	so	so	IN
20165	848	6	that	that	IN
20165	848	7	one	one	CD
20165	848	8	angle	angle	NN
20165	848	9	only	only	RB
20165	848	10	(	(	-LRB-
20165	848	11	_	_	NNP
20165	848	12	ab	ab	NNP
20165	848	13	_	_	NNP
20165	848	14	)	)	-RRB-
20165	848	15	,	,	,
20165	848	16	touches	touch	VBZ
20165	848	17	the	the	DT
20165	848	18	picture	picture	NN
20165	848	19	.	.	.
20165	849	1	[	[	-LRB-
20165	849	2	Illustration	illustration	NN
20165	849	3	:	:	:
20165	849	4	Fig	Fig	NNP
20165	849	5	.	.	.
20165	850	1	106	106	CD
20165	850	2	.	.	.
20165	850	3	]	]	-RRB-
20165	851	1	Its	-PRON-	PRP$
20165	851	2	sides	side	NNS
20165	851	3	are	be	VBP
20165	851	4	no	no	RB
20165	851	5	longer	long	RBR
20165	851	6	drawn	draw	VBN
20165	851	7	to	to	IN
20165	851	8	the	the	DT
20165	851	9	point	point	NN
20165	851	10	of	of	IN
20165	851	11	sight	sight	NN
20165	851	12	as	as	IN
20165	851	13	in	in	IN
20165	851	14	Fig	Fig	NNP
20165	851	15	.	.	.
20165	852	1	7	7	CD
20165	852	2	,	,	,
20165	852	3	nor	nor	CC
20165	852	4	its	-PRON-	PRP$
20165	852	5	diagonal	diagonal	JJ
20165	852	6	to	to	IN
20165	852	7	the	the	DT
20165	852	8	point	point	NN
20165	852	9	of	of	IN
20165	852	10	distance	distance	NN
20165	852	11	,	,	,
20165	852	12	but	but	CC
20165	852	13	to	to	IN
20165	852	14	some	some	DT
20165	852	15	other	other	JJ
20165	852	16	points	point	NNS
20165	852	17	on	on	IN
20165	852	18	the	the	DT
20165	852	19	horizon	horizon	NN
20165	852	20	,	,	,
20165	852	21	although	although	IN
20165	852	22	the	the	DT
20165	852	23	same	same	JJ
20165	852	24	rule	rule	NN
20165	852	25	holds	hold	VBZ
20165	852	26	good	good	JJ
20165	852	27	as	as	IN
20165	852	28	regards	regard	VBZ
20165	852	29	their	-PRON-	PRP$
20165	852	30	parallelism	parallelism	NN
20165	852	31	;	;	:
20165	852	32	as	as	IN
20165	852	33	for	for	IN
20165	852	34	instance	instance	NN
20165	852	35	,	,	,
20165	852	36	in	in	IN
20165	852	37	the	the	DT
20165	852	38	case	case	NN
20165	852	39	of	of	IN
20165	852	40	_	_	NNP
20165	852	41	bc	bc	NNP
20165	852	42	_	_	NNP
20165	852	43	and	and	CC
20165	852	44	_	_	NNP
20165	852	45	ad	ad	NN
20165	852	46	_	_	NNP
20165	852	47	,	,	,
20165	852	48	which	which	WDT
20165	852	49	,	,	,
20165	852	50	if	if	IN
20165	852	51	produced	produce	VBN
20165	852	52	,	,	,
20165	852	53	would	would	MD
20165	852	54	meet	meet	VB
20165	852	55	at	at	IN
20165	852	56	_	_	NNP
20165	852	57	V	V	NNP
20165	852	58	_	_	NNP
20165	852	59	,	,	,
20165	852	60	a	a	DT
20165	852	61	point	point	NN
20165	852	62	on	on	IN
20165	852	63	the	the	DT
20165	852	64	horizon	horizon	NN
20165	852	65	called	call	VBD
20165	852	66	a	a	DT
20165	852	67	vanishing	vanishing	JJ
20165	852	68	point	point	NN
20165	852	69	.	.	.
20165	853	1	In	in	IN
20165	853	2	this	this	DT
20165	853	3	figure	figure	NN
20165	853	4	only	only	RB
20165	853	5	one	one	CD
20165	853	6	vanishing	vanishing	NN
20165	853	7	point	point	NN
20165	853	8	is	be	VBZ
20165	853	9	seen	see	VBN
20165	853	10	,	,	,
20165	853	11	which	which	WDT
20165	853	12	is	be	VBZ
20165	853	13	to	to	IN
20165	853	14	the	the	DT
20165	853	15	right	right	NN
20165	853	16	of	of	IN
20165	853	17	the	the	DT
20165	853	18	point	point	NN
20165	853	19	of	of	IN
20165	853	20	sight	sight	NN
20165	853	21	_	_	NNP
20165	853	22	S	S	NNP
20165	853	23	_	_	NNP
20165	853	24	,	,	,
20165	853	25	whilst	whilst	IN
20165	853	26	the	the	DT
20165	853	27	other	other	JJ
20165	853	28	is	be	VBZ
20165	853	29	some	some	DT
20165	853	30	distance	distance	NN
20165	853	31	to	to	IN
20165	853	32	the	the	DT
20165	853	33	left	left	NN
20165	853	34	,	,	,
20165	853	35	and	and	CC
20165	853	36	outside	outside	IN
20165	853	37	the	the	DT
20165	853	38	picture	picture	NN
20165	853	39	.	.	.
20165	854	1	If	if	IN
20165	854	2	the	the	DT
20165	854	3	cube	cube	NN
20165	854	4	is	be	VBZ
20165	854	5	correctly	correctly	RB
20165	854	6	drawn	draw	VBN
20165	854	7	,	,	,
20165	854	8	it	-PRON-	PRP
20165	854	9	will	will	MD
20165	854	10	be	be	VB
20165	854	11	found	find	VBN
20165	854	12	that	that	IN
20165	854	13	the	the	DT
20165	854	14	lines	line	NNS
20165	854	15	_	_	NNP
20165	854	16	ae	ae	NNP
20165	854	17	_	_	NNP
20165	854	18	,	,	,
20165	854	19	_	_	NNP
20165	854	20	bg	bg	NNP
20165	854	21	_	_	NNP
20165	854	22	,	,	,
20165	854	23	&	&	CC
20165	854	24	c.	c.	NNP
20165	854	25	,	,	,
20165	854	26	if	if	IN
20165	854	27	produced	produce	VBN
20165	854	28	,	,	,
20165	854	29	will	will	MD
20165	854	30	meet	meet	VB
20165	854	31	on	on	IN
20165	854	32	the	the	DT
20165	854	33	horizon	horizon	NN
20165	854	34	at	at	IN
20165	854	35	this	this	DT
20165	854	36	other	other	JJ
20165	854	37	vanishing	vanishing	NN
20165	854	38	point	point	NN
20165	854	39	.	.	.
20165	855	1	This	this	DT
20165	855	2	far	far	RB
20165	855	3	-	-	HYPH
20165	855	4	away	away	RB
20165	855	5	vanishing	vanishing	JJ
20165	855	6	point	point	NN
20165	855	7	is	be	VBZ
20165	855	8	one	one	CD
20165	855	9	of	of	IN
20165	855	10	the	the	DT
20165	855	11	inconveniences	inconvenience	NNS
20165	855	12	of	of	IN
20165	855	13	oblique	oblique	JJ
20165	855	14	or	or	CC
20165	855	15	angular	angular	JJ
20165	855	16	perspective	perspective	NN
20165	855	17	,	,	,
20165	855	18	and	and	CC
20165	855	19	therefore	therefore	RB
20165	855	20	it	-PRON-	PRP
20165	855	21	will	will	MD
20165	855	22	be	be	VB
20165	855	23	a	a	DT
20165	855	24	considerable	considerable	JJ
20165	855	25	gain	gain	NN
20165	855	26	to	to	IN
20165	855	27	the	the	DT
20165	855	28	draughtsman	draughtsman	NN
20165	855	29	if	if	IN
20165	855	30	we	-PRON-	PRP
20165	855	31	can	can	MD
20165	855	32	dispense	dispense	VB
20165	855	33	with	with	IN
20165	855	34	it	-PRON-	PRP
20165	855	35	.	.	.
20165	856	1	This	this	DT
20165	856	2	can	can	MD
20165	856	3	be	be	VB
20165	856	4	easily	easily	RB
20165	856	5	done	do	VBN
20165	856	6	,	,	,
20165	856	7	as	as	IN
20165	856	8	in	in	IN
20165	856	9	the	the	DT
20165	856	10	above	above	JJ
20165	856	11	figure	figure	NN
20165	856	12	,	,	,
20165	856	13	and	and	CC
20165	856	14	here	here	RB
20165	856	15	our	-PRON-	PRP$
20165	856	16	geometry	geometry	NN
20165	856	17	will	will	MD
20165	856	18	come	come	VB
20165	856	19	to	to	IN
20165	856	20	our	-PRON-	PRP$
20165	856	21	assistance	assistance	NN
20165	856	22	,	,	,
20165	856	23	as	as	IN
20165	856	24	I	-PRON-	PRP
20165	856	25	shall	shall	MD
20165	856	26	show	show	VB
20165	856	27	presently	presently	RB
20165	856	28	.	.	.
20165	857	1	L	l	NN
20165	857	2	HOW	how	WRB
20165	857	3	TO	to	TO
20165	857	4	PUT	put	VB
20165	857	5	A	a	DT
20165	857	6	GIVEN	given	NN
20165	857	7	POINT	POINT	NNS
20165	857	8	INTO	into	VBP
20165	857	9	PERSPECTIVE	perspective	NN
20165	857	10	Let	let	VB
20165	857	11	us	-PRON-	PRP
20165	857	12	place	place	VB
20165	857	13	the	the	DT
20165	857	14	given	give	VBN
20165	857	15	point	point	NN
20165	857	16	_	_	NNP
20165	857	17	P	P	NNP
20165	857	18	_	_	NNP
20165	857	19	on	on	IN
20165	857	20	a	a	DT
20165	857	21	geometrical	geometrical	JJ
20165	857	22	plane	plane	NN
20165	857	23	,	,	,
20165	857	24	to	to	TO
20165	857	25	show	show	VB
20165	857	26	how	how	WRB
20165	857	27	far	far	RB
20165	857	28	it	-PRON-	PRP
20165	857	29	is	be	VBZ
20165	857	30	from	from	IN
20165	857	31	the	the	DT
20165	857	32	base	base	NN
20165	857	33	line	line	NN
20165	857	34	,	,	,
20165	857	35	and	and	CC
20165	857	36	indeed	indeed	RB
20165	857	37	in	in	IN
20165	857	38	the	the	DT
20165	857	39	exact	exact	JJ
20165	857	40	position	position	NN
20165	857	41	we	-PRON-	PRP
20165	857	42	wish	wish	VBP
20165	857	43	it	-PRON-	PRP
20165	857	44	to	to	TO
20165	857	45	be	be	VB
20165	857	46	in	in	IN
20165	857	47	the	the	DT
20165	857	48	picture	picture	NN
20165	857	49	.	.	.
20165	858	1	The	the	DT
20165	858	2	geometrical	geometrical	JJ
20165	858	3	plane	plane	NN
20165	858	4	is	be	VBZ
20165	858	5	supposed	suppose	VBN
20165	858	6	to	to	TO
20165	858	7	face	face	VB
20165	858	8	us	-PRON-	PRP
20165	858	9	,	,	,
20165	858	10	to	to	TO
20165	858	11	hang	hang	VB
20165	858	12	down	down	RP
20165	858	13	,	,	,
20165	858	14	as	as	IN
20165	858	15	it	-PRON-	PRP
20165	858	16	were	be	VBD
20165	858	17	,	,	,
20165	858	18	from	from	IN
20165	858	19	the	the	DT
20165	858	20	base	base	NN
20165	858	21	line	line	NN
20165	858	22	_	_	NNP
20165	858	23	AB	AB	NNP
20165	858	24	_	_	NNP
20165	858	25	,	,	,
20165	858	26	like	like	IN
20165	858	27	the	the	DT
20165	858	28	side	side	NN
20165	858	29	of	of	IN
20165	858	30	a	a	DT
20165	858	31	table	table	NN
20165	858	32	,	,	,
20165	858	33	the	the	DT
20165	858	34	top	top	NN
20165	858	35	of	of	IN
20165	858	36	which	which	WDT
20165	858	37	represents	represent	VBZ
20165	858	38	the	the	DT
20165	858	39	perspective	perspective	JJ
20165	858	40	plane	plane	NN
20165	858	41	.	.	.
20165	859	1	It	-PRON-	PRP
20165	859	2	is	be	VBZ
20165	859	3	to	to	IN
20165	859	4	that	that	DT
20165	859	5	perspective	perspective	JJ
20165	859	6	plane	plane	NN
20165	859	7	that	that	WDT
20165	859	8	we	-PRON-	PRP
20165	859	9	now	now	RB
20165	859	10	have	have	VBP
20165	859	11	to	to	TO
20165	859	12	transfer	transfer	VB
20165	859	13	the	the	DT
20165	859	14	point	point	NN
20165	859	15	_	_	NNP
20165	859	16	P	P	NNP
20165	859	17	_	_	NNP
20165	859	18	.	.	.
20165	860	1	[	[	-LRB-
20165	860	2	Illustration	illustration	NN
20165	860	3	:	:	:
20165	860	4	Fig	Fig	NNP
20165	860	5	.	.	.
20165	861	1	107	107	LS
20165	861	2	.	.	.
20165	861	3	]	]	-RRB-
20165	862	1	From	from	IN
20165	862	2	_	_	NNP
20165	862	3	P	P	NNP
20165	862	4	_	_	NNP
20165	862	5	raise	raise	NN
20165	862	6	perpendicular	perpendicular	JJ
20165	862	7	_	_	NNP
20165	862	8	Pm	Pm	NNP
20165	862	9	_	_	NNP
20165	862	10	till	till	IN
20165	862	11	it	-PRON-	PRP
20165	862	12	touches	touch	VBZ
20165	862	13	the	the	DT
20165	862	14	base	base	NN
20165	862	15	line	line	NN
20165	862	16	at	at	IN
20165	862	17	_	_	NNP
20165	862	18	m	m	NNP
20165	862	19	_	_	NNP
20165	862	20	.	.	.
20165	863	1	With	with	IN
20165	863	2	centre	centre	NN
20165	863	3	_	_	NNP
20165	863	4	m	m	NNP
20165	863	5	_	_	NNP
20165	863	6	and	and	CC
20165	863	7	radius	radius	NN
20165	863	8	_	_	NNP
20165	863	9	mP	mP	NNP
20165	863	10	_	_	NNP
20165	863	11	describe	describe	VBP
20165	863	12	arc	arc	NNP
20165	863	13	_	_	NNP
20165	863	14	Pn	Pn	NNP
20165	863	15	_	_	NNP
20165	863	16	so	so	IN
20165	863	17	that	that	IN
20165	863	18	_	_	NNP
20165	863	19	mn	mn	NNP
20165	863	20	_	_	NNP
20165	863	21	is	be	VBZ
20165	863	22	now	now	RB
20165	863	23	the	the	DT
20165	863	24	same	same	JJ
20165	863	25	length	length	NN
20165	863	26	as	as	IN
20165	863	27	_	_	NNP
20165	863	28	mP	mP	NNP
20165	863	29	_	_	NNP
20165	863	30	.	.	.
20165	864	1	As	as	IN
20165	864	2	point	point	NN
20165	864	3	_	_	NNP
20165	864	4	P	P	NNP
20165	864	5	_	_	NNP
20165	864	6	is	be	VBZ
20165	864	7	opposite	opposite	JJ
20165	864	8	point	point	NN
20165	864	9	_	_	NNP
20165	864	10	m	m	NNP
20165	864	11	_	_	NNP
20165	864	12	,	,	,
20165	864	13	so	so	RB
20165	864	14	must	must	MD
20165	864	15	it	-PRON-	PRP
20165	864	16	be	be	VB
20165	864	17	in	in	IN
20165	864	18	the	the	DT
20165	864	19	perspective	perspective	NN
20165	864	20	,	,	,
20165	864	21	therefore	therefore	RB
20165	864	22	we	-PRON-	PRP
20165	864	23	draw	draw	VBP
20165	864	24	a	a	DT
20165	864	25	line	line	NN
20165	864	26	at	at	IN
20165	864	27	right	right	JJ
20165	864	28	angles	angle	NNS
20165	864	29	to	to	IN
20165	864	30	the	the	DT
20165	864	31	base	base	NN
20165	864	32	,	,	,
20165	864	33	that	that	DT
20165	864	34	is	be	VBZ
20165	864	35	to	to	IN
20165	864	36	the	the	DT
20165	864	37	point	point	NN
20165	864	38	of	of	IN
20165	864	39	sight	sight	NN
20165	864	40	,	,	,
20165	864	41	and	and	CC
20165	864	42	somewhere	somewhere	RB
20165	864	43	on	on	IN
20165	864	44	this	this	DT
20165	864	45	line	line	NN
20165	864	46	will	will	MD
20165	864	47	be	be	VB
20165	864	48	found	find	VBN
20165	864	49	the	the	DT
20165	864	50	required	require	VBN
20165	864	51	point	point	NN
20165	864	52	_	_	NNP
20165	864	53	P	P	NNP
20165	864	54	·	·	NFP
20165	864	55	_	_	NNP
20165	864	56	.	.	.
20165	865	1	We	-PRON-	PRP
20165	865	2	now	now	RB
20165	865	3	have	have	VBP
20165	865	4	to	to	TO
20165	865	5	find	find	VB
20165	865	6	how	how	WRB
20165	865	7	far	far	RB
20165	865	8	from	from	IN
20165	865	9	_	_	NNP
20165	865	10	m	m	NNP
20165	865	11	_	_	NNP
20165	865	12	must	must	MD
20165	865	13	that	that	DT
20165	865	14	point	point	NN
20165	865	15	be	be	VB
20165	865	16	.	.	.
20165	866	1	It	-PRON-	PRP
20165	866	2	must	must	MD
20165	866	3	be	be	VB
20165	866	4	the	the	DT
20165	866	5	length	length	NN
20165	866	6	of	of	IN
20165	866	7	_	_	NNP
20165	866	8	mn	mn	NNP
20165	866	9	_	_	NNP
20165	866	10	,	,	,
20165	866	11	which	which	WDT
20165	866	12	is	be	VBZ
20165	866	13	the	the	DT
20165	866	14	same	same	JJ
20165	866	15	as	as	IN
20165	866	16	_	_	NNP
20165	866	17	mP	mP	NNP
20165	866	18	_	_	NNP
20165	866	19	.	.	.
20165	867	1	We	-PRON-	PRP
20165	867	2	therefore	therefore	RB
20165	867	3	from	from	IN
20165	867	4	_	_	NNP
20165	867	5	n	n	CC
20165	867	6	_	_	NNP
20165	867	7	draw	draw	NN
20165	867	8	_	_	NNP
20165	867	9	nD	nD	NNP
20165	867	10	_	_	NNP
20165	867	11	to	to	IN
20165	867	12	the	the	DT
20165	867	13	point	point	NN
20165	867	14	of	of	IN
20165	867	15	distance	distance	NN
20165	867	16	,	,	,
20165	867	17	which	which	WDT
20165	867	18	being	be	VBG
20165	867	19	at	at	IN
20165	867	20	an	an	DT
20165	867	21	angle	angle	NN
20165	867	22	of	of	IN
20165	867	23	45	45	CD
20165	867	24	°	°	NNS
20165	867	25	,	,	,
20165	867	26	or	or	CC
20165	867	27	half	half	PDT
20165	867	28	a	a	DT
20165	867	29	right	right	JJ
20165	867	30	angle	angle	NN
20165	867	31	,	,	,
20165	867	32	makes	make	VBZ
20165	867	33	_	_	NNP
20165	867	34	mP	mP	NNP
20165	867	35	_	_	NNP
20165	867	36	·	·	NFP
20165	867	37	the	the	DT
20165	867	38	perspective	perspective	NN
20165	867	39	length	length	NN
20165	867	40	of	of	IN
20165	867	41	_	_	NNP
20165	867	42	mn	mn	NNP
20165	867	43	_	_	NNP
20165	867	44	by	by	IN
20165	867	45	its	-PRON-	PRP$
20165	867	46	intersection	intersection	NN
20165	867	47	with	with	IN
20165	867	48	_	_	NNP
20165	867	49	mS	mS	NNP
20165	867	50	_	_	NNP
20165	867	51	,	,	,
20165	867	52	and	and	CC
20165	867	53	thus	thus	RB
20165	867	54	gives	give	VBZ
20165	867	55	us	-PRON-	PRP
20165	867	56	the	the	DT
20165	867	57	point	point	NN
20165	867	58	_	_	NNP
20165	867	59	P	P	NNP
20165	867	60	·	·	NFP
20165	867	61	_	_	NNP
20165	867	62	,	,	,
20165	867	63	which	which	WDT
20165	867	64	is	be	VBZ
20165	867	65	the	the	DT
20165	867	66	perspective	perspective	NN
20165	867	67	of	of	IN
20165	867	68	the	the	DT
20165	867	69	original	original	JJ
20165	867	70	point	point	NN
20165	867	71	.	.	.
20165	868	1	LI	LI	NNP
20165	868	2	A	a	DT
20165	868	3	PERSPECTIVE	perspective	NN
20165	868	4	POINT	POINT	NNS
20165	868	5	BEING	be	VBG
20165	868	6	GIVEN	give	VBN
20165	868	7	,	,	,
20165	868	8	FIND	find	VB
20165	868	9	ITS	its	PRP$
20165	868	10	POSITION	position	NN
20165	868	11	ON	on	IN
20165	868	12	THE	the	DT
20165	868	13	GEOMETRICAL	GEOMETRICAL	NNP
20165	868	14	PLANE	PLANE	VBN
20165	868	15	To	to	TO
20165	868	16	do	do	VB
20165	868	17	this	this	DT
20165	868	18	we	-PRON-	PRP
20165	868	19	simply	simply	RB
20165	868	20	reverse	reverse	VBP
20165	868	21	the	the	DT
20165	868	22	foregoing	foregoing	NN
20165	868	23	problem	problem	NN
20165	868	24	.	.	.
20165	869	1	Thus	thus	RB
20165	869	2	let	let	VB
20165	869	3	_	_	NNP
20165	869	4	P	P	NNP
20165	869	5	_	_	NNP
20165	869	6	be	be	VB
20165	869	7	the	the	DT
20165	869	8	given	give	VBN
20165	869	9	perspective	perspective	NN
20165	869	10	point	point	NN
20165	869	11	.	.	.
20165	870	1	From	from	IN
20165	870	2	point	point	NN
20165	870	3	of	of	IN
20165	870	4	sight	sight	NN
20165	870	5	_	_	NNP
20165	870	6	S	S	NNP
20165	870	7	_	_	NNP
20165	870	8	draw	draw	VBP
20165	870	9	a	a	DT
20165	870	10	line	line	NN
20165	870	11	through	through	IN
20165	870	12	_	_	NNP
20165	870	13	P	P	NNP
20165	870	14	_	_	NNP
20165	870	15	till	till	IN
20165	870	16	it	-PRON-	PRP
20165	870	17	cuts	cut	VBZ
20165	870	18	_	_	NNP
20165	870	19	AB	AB	NNP
20165	870	20	_	_	NNP
20165	870	21	at	at	IN
20165	870	22	_	_	NNP
20165	870	23	m	m	NNP
20165	870	24	_	_	NNP
20165	870	25	.	.	.
20165	871	1	From	from	IN
20165	871	2	distance	distance	NN
20165	871	3	_	_	NNP
20165	871	4	D	D	NNP
20165	871	5	_	_	NNP
20165	871	6	draw	draw	VB
20165	871	7	another	another	DT
20165	871	8	line	line	NN
20165	871	9	through	through	IN
20165	871	10	_	_	NNP
20165	871	11	P	P	NNP
20165	871	12	_	_	NNP
20165	871	13	till	till	IN
20165	871	14	it	-PRON-	PRP
20165	871	15	cuts	cut	VBZ
20165	871	16	the	the	DT
20165	871	17	base	base	NN
20165	871	18	at	at	IN
20165	871	19	_	_	NNP
20165	871	20	n	n	CC
20165	871	21	_	_	NNP
20165	871	22	.	.	.
20165	872	1	From	from	IN
20165	872	2	_	_	NNP
20165	872	3	m	m	NNP
20165	872	4	_	_	NNP
20165	872	5	drop	drop	NN
20165	872	6	perpendicular	perpendicular	NN
20165	872	7	,	,	,
20165	872	8	and	and	CC
20165	872	9	then	then	RB
20165	872	10	with	with	IN
20165	872	11	centre	centre	NN
20165	872	12	_	_	NNP
20165	872	13	m	m	NNP
20165	872	14	_	_	NNP
20165	872	15	and	and	CC
20165	872	16	radius	radius	NNP
20165	872	17	_	_	NNP
20165	872	18	mn	mn	NNP
20165	872	19	_	_	NNP
20165	872	20	describe	describe	NNP
20165	872	21	arc	arc	NNP
20165	872	22	,	,	,
20165	872	23	and	and	CC
20165	872	24	where	where	WRB
20165	872	25	it	-PRON-	PRP
20165	872	26	cuts	cut	VBZ
20165	872	27	that	that	DT
20165	872	28	perpendicular	perpendicular	NN
20165	872	29	is	be	VBZ
20165	872	30	the	the	DT
20165	872	31	required	require	VBN
20165	872	32	point	point	NN
20165	872	33	_	_	NNP
20165	872	34	P	P	NNP
20165	872	35	·	·	NFP
20165	872	36	_	_	NNP
20165	872	37	.	.	.
20165	873	1	We	-PRON-	PRP
20165	873	2	often	often	RB
20165	873	3	have	have	VBP
20165	873	4	to	to	TO
20165	873	5	make	make	VB
20165	873	6	use	use	NN
20165	873	7	of	of	IN
20165	873	8	this	this	DT
20165	873	9	problem	problem	NN
20165	873	10	.	.	.
20165	874	1	[	[	-LRB-
20165	874	2	Illustration	illustration	NN
20165	874	3	:	:	:
20165	874	4	Fig	Fig	NNP
20165	874	5	.	.	.
20165	875	1	108	108	CD
20165	875	2	.	.	.
20165	875	3	]	]	-RRB-
20165	876	1	LII	LII	NNP
20165	876	2	HOW	how	WRB
20165	876	3	TO	to	TO
20165	876	4	PUT	put	VB
20165	876	5	A	a	DT
20165	876	6	GIVEN	give	VBN
20165	876	7	LINE	line	NN
20165	876	8	INTO	into	VBP
20165	876	9	PERSPECTIVE	perspective	NN
20165	876	10	This	this	DT
20165	876	11	is	be	VBZ
20165	876	12	simply	simply	RB
20165	876	13	a	a	DT
20165	876	14	question	question	NN
20165	876	15	of	of	IN
20165	876	16	putting	put	VBG
20165	876	17	two	two	CD
20165	876	18	points	point	NNS
20165	876	19	into	into	IN
20165	876	20	perspective	perspective	NN
20165	876	21	,	,	,
20165	876	22	instead	instead	RB
20165	876	23	of	of	IN
20165	876	24	one	one	CD
20165	876	25	,	,	,
20165	876	26	or	or	CC
20165	876	27	like	like	IN
20165	876	28	doing	do	VBG
20165	876	29	the	the	DT
20165	876	30	previous	previous	JJ
20165	876	31	problem	problem	NN
20165	876	32	twice	twice	RB
20165	876	33	over	over	RB
20165	876	34	,	,	,
20165	876	35	for	for	IN
20165	876	36	the	the	DT
20165	876	37	two	two	CD
20165	876	38	points	point	NNS
20165	876	39	represent	represent	VBP
20165	876	40	the	the	DT
20165	876	41	two	two	CD
20165	876	42	extremities	extremity	NNS
20165	876	43	of	of	IN
20165	876	44	the	the	DT
20165	876	45	line	line	NN
20165	876	46	.	.	.
20165	877	1	Thus	thus	RB
20165	877	2	we	-PRON-	PRP
20165	877	3	have	have	VBP
20165	877	4	to	to	TO
20165	877	5	find	find	VB
20165	877	6	the	the	DT
20165	877	7	perspective	perspective	NN
20165	877	8	of	of	IN
20165	877	9	_	_	NNP
20165	877	10	A	A	NNP
20165	877	11	_	_	NNP
20165	877	12	and	and	CC
20165	877	13	_	_	NNP
20165	877	14	B	B	NNP
20165	877	15	_	_	NNP
20165	877	16	,	,	,
20165	877	17	namely	namely	RB
20165	877	18	_	_	NNP
20165	877	19	a·b	a·b	NNP
20165	877	20	·	·	NFP
20165	877	21	_	_	NNP
20165	877	22	.	.	.
20165	878	1	Join	join	VB
20165	878	2	those	those	DT
20165	878	3	points	point	NNS
20165	878	4	,	,	,
20165	878	5	and	and	CC
20165	878	6	we	-PRON-	PRP
20165	878	7	have	have	VBP
20165	878	8	the	the	DT
20165	878	9	line	line	NN
20165	878	10	required	require	VBN
20165	878	11	.	.	.
20165	879	1	[	[	-LRB-
20165	879	2	Illustration	illustration	NN
20165	879	3	:	:	:
20165	879	4	Fig	Fig	NNP
20165	879	5	.	.	.
20165	880	1	109	109	CD
20165	880	2	.	.	.
20165	880	3	]	]	-RRB-
20165	881	1	[	[	-LRB-
20165	881	2	Illustration	illustration	NN
20165	881	3	:	:	:
20165	881	4	Fig	Fig	NNP
20165	881	5	.	.	.
20165	882	1	110	110	CD
20165	882	2	.	.	.
20165	882	3	]	]	-RRB-
20165	883	1	If	if	IN
20165	883	2	one	one	CD
20165	883	3	end	end	NN
20165	883	4	touches	touch	VBZ
20165	883	5	the	the	DT
20165	883	6	base	base	NN
20165	883	7	,	,	,
20165	883	8	as	as	IN
20165	883	9	at	at	IN
20165	883	10	_	_	NNP
20165	883	11	A	A	NNP
20165	883	12	_	_	NNP
20165	883	13	(	(	-LRB-
20165	883	14	Fig	fig	NN
20165	883	15	.	.	.
20165	884	1	110	110	CD
20165	884	2	)	)	-RRB-
20165	884	3	,	,	,
20165	884	4	then	then	RB
20165	884	5	we	-PRON-	PRP
20165	884	6	have	have	VBP
20165	884	7	but	but	CC
20165	884	8	to	to	TO
20165	884	9	find	find	VB
20165	884	10	one	one	CD
20165	884	11	point	point	NN
20165	884	12	,	,	,
20165	884	13	namely	namely	RB
20165	884	14	_	_	NNP
20165	884	15	b	b	NNP
20165	884	16	_	_	NNP
20165	884	17	.	.	.
20165	885	1	We	-PRON-	PRP
20165	885	2	also	also	RB
20165	885	3	find	find	VBP
20165	885	4	the	the	DT
20165	885	5	perspective	perspective	NN
20165	885	6	of	of	IN
20165	885	7	the	the	DT
20165	885	8	angle	angle	NN
20165	885	9	_	_	NNP
20165	885	10	mAB	mAB	NNP
20165	885	11	_	_	NNP
20165	885	12	,	,	,
20165	885	13	namely	namely	RB
20165	885	14	the	the	DT
20165	885	15	shaded	shaded	JJ
20165	885	16	triangle	triangle	NN
20165	885	17	mAb	mAb	NNS
20165	885	18	.	.	.
20165	886	1	Note	note	VB
20165	886	2	also	also	RB
20165	886	3	that	that	IN
20165	886	4	the	the	DT
20165	886	5	perspective	perspective	NN
20165	886	6	triangle	triangle	NN
20165	886	7	equals	equal	VBZ
20165	886	8	the	the	DT
20165	886	9	geometrical	geometrical	JJ
20165	886	10	triangle	triangle	NN
20165	886	11	.	.	.
20165	887	1	[	[	-LRB-
20165	887	2	Illustration	illustration	NN
20165	887	3	:	:	:
20165	887	4	Fig	Fig	NNP
20165	887	5	.	.	.
20165	888	1	111	111	CD
20165	888	2	.	.	.
20165	888	3	]	]	-RRB-
20165	889	1	When	when	WRB
20165	889	2	the	the	DT
20165	889	3	line	line	NN
20165	889	4	required	require	VBN
20165	889	5	is	be	VBZ
20165	889	6	parallel	parallel	JJ
20165	889	7	to	to	IN
20165	889	8	the	the	DT
20165	889	9	base	base	NN
20165	889	10	line	line	NN
20165	889	11	of	of	IN
20165	889	12	the	the	DT
20165	889	13	picture	picture	NN
20165	889	14	,	,	,
20165	889	15	then	then	RB
20165	889	16	the	the	DT
20165	889	17	perspective	perspective	NN
20165	889	18	of	of	IN
20165	889	19	it	-PRON-	PRP
20165	889	20	is	be	VBZ
20165	889	21	also	also	RB
20165	889	22	parallel	parallel	JJ
20165	889	23	to	to	IN
20165	889	24	that	that	DT
20165	889	25	base	base	NN
20165	889	26	(	(	-LRB-
20165	889	27	see	see	VB
20165	889	28	Rule	Rule	NNP
20165	889	29	3	3	CD
20165	889	30	)	)	-RRB-
20165	889	31	.	.	.
20165	890	1	LIII	liii	NN
20165	890	2	TO	to	TO
20165	890	3	FIND	find	VB
20165	890	4	THE	the	DT
20165	890	5	LENGTH	LENGTH	NNP
20165	890	6	OF	of	IN
20165	890	7	A	a	DT
20165	890	8	GIVEN	give	VBN
20165	890	9	PERSPECTIVE	perspective	NN
20165	890	10	LINE	line	NN
20165	890	11	A	a	DT
20165	890	12	perspective	perspective	JJ
20165	890	13	line	line	NN
20165	890	14	_	_	NNP
20165	890	15	AB	AB	NNP
20165	890	16	_	_	NNP
20165	890	17	being	be	VBG
20165	890	18	given	give	VBN
20165	890	19	,	,	,
20165	890	20	find	find	VB
20165	890	21	its	-PRON-	PRP$
20165	890	22	actual	actual	JJ
20165	890	23	length	length	NN
20165	890	24	and	and	CC
20165	890	25	the	the	DT
20165	890	26	angle	angle	NN
20165	890	27	at	at	IN
20165	890	28	which	which	WDT
20165	890	29	it	-PRON-	PRP
20165	890	30	is	be	VBZ
20165	890	31	placed	place	VBN
20165	890	32	.	.	.
20165	891	1	This	this	DT
20165	891	2	is	be	VBZ
20165	891	3	simply	simply	RB
20165	891	4	the	the	DT
20165	891	5	reverse	reverse	NN
20165	891	6	of	of	IN
20165	891	7	the	the	DT
20165	891	8	previous	previous	JJ
20165	891	9	problem	problem	NN
20165	891	10	.	.	.
20165	892	1	Let	let	VB
20165	892	2	_	_	NNP
20165	892	3	AB	AB	NNP
20165	892	4	_	_	NNP
20165	892	5	be	be	VB
20165	892	6	the	the	DT
20165	892	7	given	give	VBN
20165	892	8	line	line	NN
20165	892	9	.	.	.
20165	893	1	From	from	IN
20165	893	2	distance	distance	NN
20165	893	3	_	_	NNP
20165	893	4	D	D	NNP
20165	893	5	_	_	NNP
20165	893	6	through	through	IN
20165	893	7	_	_	NNP
20165	893	8	A	A	NNP
20165	893	9	_	_	NNP
20165	893	10	draw	draw	NN
20165	893	11	_	_	NNP
20165	893	12	DC	DC	NNP
20165	893	13	_	_	NNP
20165	893	14	,	,	,
20165	893	15	and	and	CC
20165	893	16	from	from	IN
20165	893	17	_	_	NNP
20165	893	18	S	S	NNP
20165	893	19	_	_	NNP
20165	893	20	,	,	,
20165	893	21	point	point	NN
20165	893	22	of	of	IN
20165	893	23	sight	sight	NN
20165	893	24	,	,	,
20165	893	25	through	through	IN
20165	893	26	_	_	NNP
20165	893	27	A	A	NNP
20165	893	28	_	_	NNP
20165	893	29	draw	draw	NN
20165	893	30	_	_	NNP
20165	893	31	SO	SO	NNP
20165	893	32	_	_	NNP
20165	893	33	.	.	.
20165	894	1	Drop	Drop	NNP
20165	894	2	_	_	NNP
20165	894	3	OP	OP	NNP
20165	894	4	_	_	NNP
20165	894	5	at	at	IN
20165	894	6	right	right	JJ
20165	894	7	angles	angle	NNS
20165	894	8	to	to	TO
20165	894	9	base	base	NN
20165	894	10	,	,	,
20165	894	11	making	make	VBG
20165	894	12	it	-PRON-	PRP
20165	894	13	equal	equal	JJ
20165	894	14	to	to	IN
20165	894	15	_	_	NNP
20165	894	16	OC	OC	NNP
20165	894	17	_	_	NNP
20165	894	18	.	.	.
20165	895	1	Join	join	VB
20165	895	2	_	_	NNP
20165	895	3	PB	PB	NNP
20165	895	4	_	_	NNP
20165	895	5	,	,	,
20165	895	6	and	and	CC
20165	895	7	line	line	NN
20165	895	8	_	_	NNP
20165	895	9	PB	PB	NNP
20165	895	10	_	_	NNP
20165	895	11	is	be	VBZ
20165	895	12	the	the	DT
20165	895	13	actual	actual	JJ
20165	895	14	length	length	NN
20165	895	15	of	of	IN
20165	895	16	_	_	NNP
20165	895	17	AB	AB	NNP
20165	895	18	_	_	NNP
20165	895	19	.	.	.
20165	896	1	This	this	DT
20165	896	2	problem	problem	NN
20165	896	3	is	be	VBZ
20165	896	4	useful	useful	JJ
20165	896	5	in	in	IN
20165	896	6	finding	find	VBG
20165	896	7	the	the	DT
20165	896	8	position	position	NN
20165	896	9	of	of	IN
20165	896	10	any	any	DT
20165	896	11	given	give	VBN
20165	896	12	line	line	NN
20165	896	13	or	or	CC
20165	896	14	point	point	NN
20165	896	15	on	on	IN
20165	896	16	the	the	DT
20165	896	17	perspective	perspective	JJ
20165	896	18	plane	plane	NN
20165	896	19	.	.	.
20165	897	1	[	[	-LRB-
20165	897	2	Illustration	illustration	NN
20165	897	3	:	:	:
20165	897	4	Fig	Fig	NNP
20165	897	5	.	.	.
20165	898	1	112	112	CD
20165	898	2	.	.	.
20165	898	3	]	]	-RRB-
20165	899	1	LIV	liv	NN
20165	899	2	TO	to	TO
20165	899	3	FIND	find	VB
20165	899	4	THESE	these	DT
20165	899	5	POINTS	point	NNS
20165	899	6	WHEN	when	WRB
20165	899	7	THE	the	DT
20165	899	8	DISTANCE	DISTANCE	NNP
20165	899	9	-	-	HYPH
20165	899	10	POINT	POINT	NNP
20165	899	11	IS	be	VBZ
20165	899	12	INACCESSIBLE	inaccessible	NN
20165	899	13	[	[	-LRB-
20165	899	14	Illustration	illustration	NN
20165	899	15	:	:	:
20165	899	16	Fig	Fig	NNP
20165	899	17	.	.	.
20165	900	1	113	113	CD
20165	900	2	.	.	.
20165	900	3	]	]	-RRB-
20165	901	1	If	if	IN
20165	901	2	the	the	DT
20165	901	3	distance	distance	NN
20165	901	4	-	-	HYPH
20165	901	5	point	point	NN
20165	901	6	is	be	VBZ
20165	901	7	a	a	DT
20165	901	8	long	long	JJ
20165	901	9	way	way	NN
20165	901	10	out	out	IN
20165	901	11	of	of	IN
20165	901	12	the	the	DT
20165	901	13	picture	picture	NN
20165	901	14	,	,	,
20165	901	15	then	then	RB
20165	901	16	the	the	DT
20165	901	17	same	same	JJ
20165	901	18	result	result	NN
20165	901	19	can	can	MD
20165	901	20	be	be	VB
20165	901	21	obtained	obtain	VBN
20165	901	22	by	by	IN
20165	901	23	using	use	VBG
20165	901	24	the	the	DT
20165	901	25	half	half	JJ
20165	901	26	distance	distance	NN
20165	901	27	and	and	CC
20165	901	28	half	half	NN
20165	901	29	base	base	NN
20165	901	30	,	,	,
20165	901	31	as	as	IN
20165	901	32	already	already	RB
20165	901	33	shown	show	VBN
20165	901	34	.	.	.
20165	902	1	From	from	IN
20165	902	2	_	_	NNP
20165	902	3	a	a	DT
20165	902	4	_	_	NNP
20165	902	5	,	,	,
20165	902	6	half	half	NN
20165	902	7	of	of	IN
20165	902	8	_	_	NNP
20165	902	9	mP	mP	NNP
20165	902	10	_	_	NNP
20165	902	11	·	·	NFP
20165	902	12	,	,	,
20165	902	13	draw	draw	VB
20165	902	14	quadrant	quadrant	NNP
20165	902	15	_	_	NNP
20165	902	16	ab	ab	NNP
20165	902	17	_	_	NNP
20165	902	18	,	,	,
20165	902	19	from	from	IN
20165	902	20	_	_	NNP
20165	902	21	b	b	NNP
20165	902	22	_	_	NNP
20165	902	23	(	(	-LRB-
20165	902	24	half	half	JJ
20165	902	25	base	base	NN
20165	902	26	)	)	-RRB-
20165	902	27	,	,	,
20165	902	28	draw	draw	VB
20165	902	29	line	line	NN
20165	902	30	from	from	IN
20165	902	31	_	_	NNP
20165	902	32	b	b	NNP
20165	902	33	_	_	NNP
20165	902	34	to	to	IN
20165	902	35	half	half	NN
20165	902	36	Dist	Dist	NNP
20165	902	37	.	.	.
20165	902	38	,	,	,
20165	902	39	which	which	WDT
20165	902	40	intersects	intersect	VBZ
20165	902	41	_	_	NNP
20165	902	42	Sm	Sm	NNP
20165	902	43	_	_	NNP
20165	902	44	at	at	IN
20165	902	45	_	_	NNP
20165	902	46	P	P	NNP
20165	902	47	_	_	NNP
20165	902	48	,	,	,
20165	902	49	precisely	precisely	RB
20165	902	50	the	the	DT
20165	902	51	same	same	JJ
20165	902	52	point	point	NN
20165	902	53	as	as	IN
20165	902	54	would	would	MD
20165	902	55	be	be	VB
20165	902	56	obtained	obtain	VBN
20165	902	57	by	by	IN
20165	902	58	using	use	VBG
20165	902	59	the	the	DT
20165	902	60	whole	whole	JJ
20165	902	61	distance	distance	NN
20165	902	62	.	.	.
20165	903	1	LV	LV	NNP
20165	903	2	HOW	how	WRB
20165	903	3	TO	to	TO
20165	903	4	PUT	put	VB
20165	903	5	A	a	DT
20165	903	6	GIVEN	given	NN
20165	903	7	TRIANGLE	triangle	NN
20165	903	8	OR	or	CC
20165	903	9	OTHER	other	JJ
20165	903	10	RECTILINEAL	rectilineal	NN
20165	903	11	FIGURE	figure	NN
20165	903	12	INTO	into	NN
20165	903	13	PERSPECTIVE	perspective	NN
20165	903	14	Here	here	RB
20165	903	15	we	-PRON-	PRP
20165	903	16	simply	simply	RB
20165	903	17	put	put	VBD
20165	903	18	three	three	CD
20165	903	19	points	point	NNS
20165	903	20	into	into	IN
20165	903	21	perspective	perspective	NN
20165	903	22	to	to	TO
20165	903	23	obtain	obtain	VB
20165	903	24	the	the	DT
20165	903	25	given	give	VBN
20165	903	26	triangle	triangle	NN
20165	903	27	_	_	NNP
20165	903	28	A	A	NNP
20165	903	29	_	_	NNP
20165	903	30	,	,	,
20165	903	31	or	or	CC
20165	903	32	five	five	CD
20165	903	33	points	point	NNS
20165	903	34	to	to	TO
20165	903	35	obtain	obtain	VB
20165	903	36	the	the	DT
20165	903	37	five	five	CD
20165	903	38	-	-	HYPH
20165	903	39	sided	sided	JJ
20165	903	40	figure	figure	NN
20165	903	41	at	at	IN
20165	903	42	_	_	NNP
20165	903	43	B	B	NNP
20165	903	44	_	_	NNP
20165	903	45	.	.	.
20165	904	1	So	so	CC
20165	904	2	can	can	MD
20165	904	3	we	-PRON-	PRP
20165	904	4	deal	deal	VB
20165	904	5	with	with	IN
20165	904	6	any	any	DT
20165	904	7	number	number	NN
20165	904	8	of	of	IN
20165	904	9	figures	figure	NNS
20165	904	10	placed	place	VBN
20165	904	11	at	at	IN
20165	904	12	any	any	DT
20165	904	13	angle	angle	NN
20165	904	14	.	.	.
20165	905	1	[	[	-LRB-
20165	905	2	Illustration	illustration	NN
20165	905	3	:	:	:
20165	905	4	Fig	Fig	NNP
20165	905	5	.	.	.
20165	906	1	114	114	CD
20165	906	2	.	.	.
20165	906	3	]	]	-RRB-
20165	907	1	Both	both	DT
20165	907	2	the	the	DT
20165	907	3	above	above	JJ
20165	907	4	figures	figure	NNS
20165	907	5	are	be	VBP
20165	907	6	placed	place	VBN
20165	907	7	in	in	IN
20165	907	8	the	the	DT
20165	907	9	same	same	JJ
20165	907	10	diagram	diagram	NN
20165	907	11	,	,	,
20165	907	12	showing	show	VBG
20165	907	13	how	how	WRB
20165	907	14	any	any	DT
20165	907	15	number	number	NN
20165	907	16	can	can	MD
20165	907	17	be	be	VB
20165	907	18	drawn	draw	VBN
20165	907	19	by	by	IN
20165	907	20	means	mean	NNS
20165	907	21	of	of	IN
20165	907	22	the	the	DT
20165	907	23	same	same	JJ
20165	907	24	point	point	NN
20165	907	25	of	of	IN
20165	907	26	sight	sight	NN
20165	907	27	and	and	CC
20165	907	28	the	the	DT
20165	907	29	same	same	JJ
20165	907	30	point	point	NN
20165	907	31	of	of	IN
20165	907	32	distance	distance	NN
20165	907	33	,	,	,
20165	907	34	which	which	WDT
20165	907	35	makes	make	VBZ
20165	907	36	them	-PRON-	PRP
20165	907	37	belong	belong	VB
20165	907	38	to	to	IN
20165	907	39	the	the	DT
20165	907	40	same	same	JJ
20165	907	41	picture	picture	NN
20165	907	42	.	.	.
20165	908	1	It	-PRON-	PRP
20165	908	2	is	be	VBZ
20165	908	3	to	to	TO
20165	908	4	be	be	VB
20165	908	5	noted	note	VBN
20165	908	6	that	that	IN
20165	908	7	the	the	DT
20165	908	8	figures	figure	NNS
20165	908	9	appear	appear	VBP
20165	908	10	reversed	reverse	VBN
20165	908	11	in	in	IN
20165	908	12	the	the	DT
20165	908	13	perspective	perspective	NN
20165	908	14	.	.	.
20165	909	1	That	that	RB
20165	909	2	is	is	RB
20165	909	3	,	,	,
20165	909	4	in	in	IN
20165	909	5	the	the	DT
20165	909	6	geometrical	geometrical	JJ
20165	909	7	triangle	triangle	NN
20165	909	8	the	the	DT
20165	909	9	base	base	NN
20165	909	10	at	at	IN
20165	909	11	_	_	NNP
20165	909	12	ab	ab	NNP
20165	909	13	_	_	NNP
20165	909	14	is	be	VBZ
20165	909	15	uppermost	uppermost	JJ
20165	909	16	,	,	,
20165	909	17	whereas	whereas	IN
20165	909	18	in	in	IN
20165	909	19	the	the	DT
20165	909	20	perspective	perspective	NN
20165	909	21	_	_	NNP
20165	909	22	ab	ab	NNP
20165	909	23	_	_	NNP
20165	909	24	is	be	VBZ
20165	909	25	lowermost	lowermost	VBN
20165	909	26	,	,	,
20165	909	27	yet	yet	CC
20165	909	28	both	both	DT
20165	909	29	are	be	VBP
20165	909	30	nearest	near	JJS
20165	909	31	to	to	IN
20165	909	32	the	the	DT
20165	909	33	ground	ground	NN
20165	909	34	line	line	NN
20165	909	35	.	.	.
20165	910	1	LVI	lvi	VB
20165	910	2	HOW	how	WRB
20165	910	3	TO	to	TO
20165	910	4	PUT	put	VB
20165	910	5	A	a	DT
20165	910	6	GIVEN	GIVEN	NNP
20165	910	7	SQUARE	SQUARE	NNP
20165	910	8	INTO	into	NN
20165	910	9	ANGULAR	ANGULAR	NNS
20165	910	10	PERSPECTIVE	perspective	NN
20165	910	11	Let	Let	VBN
20165	910	12	_	_	NNP
20165	910	13	ABCD	ABCD	NNP
20165	910	14	_	_	NNP
20165	910	15	(	(	-LRB-
20165	910	16	Fig	Fig	NNP
20165	910	17	.	.	.
20165	911	1	115	115	LS
20165	911	2	)	)	-RRB-
20165	911	3	be	be	VB
20165	911	4	the	the	DT
20165	911	5	given	give	VBN
20165	911	6	square	square	NN
20165	911	7	on	on	IN
20165	911	8	the	the	DT
20165	911	9	geometrical	geometrical	JJ
20165	911	10	plane	plane	NN
20165	911	11	,	,	,
20165	911	12	where	where	WRB
20165	911	13	we	-PRON-	PRP
20165	911	14	can	can	MD
20165	911	15	place	place	VB
20165	911	16	it	-PRON-	PRP
20165	911	17	as	as	IN
20165	911	18	near	near	RB
20165	911	19	or	or	CC
20165	911	20	as	as	RB
20165	911	21	far	far	RB
20165	911	22	from	from	IN
20165	911	23	the	the	DT
20165	911	24	base	base	NN
20165	911	25	and	and	CC
20165	911	26	at	at	IN
20165	911	27	any	any	DT
20165	911	28	angle	angle	NN
20165	911	29	that	that	WDT
20165	911	30	we	-PRON-	PRP
20165	911	31	wish	wish	VBP
20165	911	32	.	.	.
20165	912	1	We	-PRON-	PRP
20165	912	2	then	then	RB
20165	912	3	proceed	proceed	VBP
20165	912	4	to	to	TO
20165	912	5	find	find	VB
20165	912	6	its	-PRON-	PRP$
20165	912	7	perspective	perspective	NN
20165	912	8	on	on	IN
20165	912	9	the	the	DT
20165	912	10	picture	picture	NN
20165	912	11	by	by	IN
20165	912	12	finding	find	VBG
20165	912	13	the	the	DT
20165	912	14	perspective	perspective	NN
20165	912	15	of	of	IN
20165	912	16	the	the	DT
20165	912	17	four	four	CD
20165	912	18	points	point	NNS
20165	912	19	_	_	NNP
20165	912	20	ABCD	ABCD	NNP
20165	912	21	_	_	NNP
20165	912	22	as	as	RB
20165	912	23	already	already	RB
20165	912	24	shown	show	VBN
20165	912	25	.	.	.
20165	913	1	Note	note	VB
20165	913	2	that	that	IN
20165	913	3	the	the	DT
20165	913	4	two	two	CD
20165	913	5	sides	side	NNS
20165	913	6	of	of	IN
20165	913	7	the	the	DT
20165	913	8	perspective	perspective	NN
20165	913	9	square	square	NN
20165	913	10	_	_	NNP
20165	913	11	dc	dc	NNP
20165	913	12	_	_	NNP
20165	913	13	and	and	CC
20165	913	14	_	_	NNP
20165	913	15	ab	ab	NNP
20165	913	16	_	_	NNP
20165	913	17	being	be	VBG
20165	913	18	produced	produce	VBN
20165	913	19	,	,	,
20165	913	20	meet	meet	VB
20165	913	21	at	at	IN
20165	913	22	point	point	NN
20165	913	23	_	_	NNP
20165	913	24	V	V	NNP
20165	913	25	_	_	NNP
20165	913	26	on	on	IN
20165	913	27	the	the	DT
20165	913	28	horizon	horizon	NN
20165	913	29	,	,	,
20165	913	30	which	which	WDT
20165	913	31	is	be	VBZ
20165	913	32	their	-PRON-	PRP$
20165	913	33	vanishing	vanishing	JJ
20165	913	34	point	point	NN
20165	913	35	,	,	,
20165	913	36	but	but	CC
20165	913	37	to	to	TO
20165	913	38	find	find	VB
20165	913	39	the	the	DT
20165	913	40	point	point	NN
20165	913	41	on	on	IN
20165	913	42	the	the	DT
20165	913	43	horizon	horizon	NN
20165	913	44	where	where	WRB
20165	913	45	sides	side	NNS
20165	913	46	_	_	NNP
20165	913	47	bc	bc	NNP
20165	913	48	_	_	NNP
20165	913	49	and	and	CC
20165	913	50	_	_	NNP
20165	913	51	ad	ad	NN
20165	913	52	_	_	NNP
20165	913	53	meet	meet	NN
20165	913	54	,	,	,
20165	913	55	we	-PRON-	PRP
20165	913	56	should	should	MD
20165	913	57	have	have	VB
20165	913	58	to	to	TO
20165	913	59	go	go	VB
20165	913	60	a	a	DT
20165	913	61	long	long	JJ
20165	913	62	way	way	NN
20165	913	63	to	to	IN
20165	913	64	the	the	DT
20165	913	65	left	left	NN
20165	913	66	of	of	IN
20165	913	67	the	the	DT
20165	913	68	figure	figure	NN
20165	913	69	,	,	,
20165	913	70	which	which	WDT
20165	913	71	by	by	IN
20165	913	72	this	this	DT
20165	913	73	method	method	NN
20165	913	74	is	be	VBZ
20165	913	75	not	not	RB
20165	913	76	necessary	necessary	JJ
20165	913	77	.	.	.
20165	914	1	[	[	-LRB-
20165	914	2	Illustration	illustration	NN
20165	914	3	:	:	:
20165	914	4	Fig	Fig	NNP
20165	914	5	.	.	.
20165	915	1	115	115	CD
20165	915	2	.	.	.
20165	915	3	]	]	-RRB-
20165	916	1	LVII	LVII	NNP
20165	916	2	OF	of	IN
20165	916	3	MEASURING	MEASURING	NNP
20165	916	4	POINTS	POINTS	NNP
20165	916	5	We	-PRON-	PRP
20165	916	6	now	now	RB
20165	916	7	have	have	VBP
20165	916	8	to	to	TO
20165	916	9	find	find	VB
20165	916	10	certain	certain	JJ
20165	916	11	points	point	NNS
20165	916	12	by	by	IN
20165	916	13	which	which	WDT
20165	916	14	to	to	TO
20165	916	15	measure	measure	VB
20165	916	16	those	those	DT
20165	916	17	vanishing	vanish	VBG
20165	916	18	or	or	CC
20165	916	19	retreating	retreat	VBG
20165	916	20	lines	line	NNS
20165	916	21	which	which	WDT
20165	916	22	are	be	VBP
20165	916	23	no	no	RB
20165	916	24	longer	long	RBR
20165	916	25	at	at	IN
20165	916	26	right	right	JJ
20165	916	27	angles	angle	NNS
20165	916	28	to	to	IN
20165	916	29	the	the	DT
20165	916	30	picture	picture	NN
20165	916	31	plane	plane	NN
20165	916	32	,	,	,
20165	916	33	as	as	IN
20165	916	34	in	in	IN
20165	916	35	parallel	parallel	JJ
20165	916	36	perspective	perspective	NN
20165	916	37	,	,	,
20165	916	38	and	and	CC
20165	916	39	have	have	VBP
20165	916	40	to	to	TO
20165	916	41	be	be	VB
20165	916	42	measured	measure	VBN
20165	916	43	in	in	IN
20165	916	44	a	a	DT
20165	916	45	different	different	JJ
20165	916	46	way	way	NN
20165	916	47	,	,	,
20165	916	48	and	and	CC
20165	916	49	here	here	RB
20165	916	50	geometry	geometry	NN
20165	916	51	comes	come	VBZ
20165	916	52	to	to	IN
20165	916	53	our	-PRON-	PRP$
20165	916	54	assistance	assistance	NN
20165	916	55	.	.	.
20165	917	1	[	[	-LRB-
20165	917	2	Illustration	illustration	NN
20165	917	3	:	:	:
20165	917	4	Fig	Fig	NNP
20165	917	5	.	.	.
20165	918	1	116	116	CD
20165	918	2	.	.	.
20165	918	3	]	]	-RRB-
20165	919	1	Note	note	VB
20165	919	2	that	that	IN
20165	919	3	the	the	DT
20165	919	4	perspective	perspective	NN
20165	919	5	square	square	NN
20165	919	6	_	_	NNP
20165	919	7	P	P	NNP
20165	919	8	_	_	NNP
20165	919	9	equals	equal	VBZ
20165	919	10	the	the	DT
20165	919	11	geometrical	geometrical	JJ
20165	919	12	square	square	NN
20165	919	13	_	_	NNP
20165	919	14	K	K	NNP
20165	919	15	_	_	NNP
20165	919	16	,	,	,
20165	919	17	so	so	IN
20165	919	18	that	that	DT
20165	919	19	side	side	NN
20165	919	20	_	_	NNP
20165	919	21	AB	AB	NNP
20165	919	22	_	_	NNP
20165	919	23	of	of	IN
20165	919	24	the	the	DT
20165	919	25	one	one	NN
20165	919	26	equals	equal	VBZ
20165	919	27	side	side	NN
20165	919	28	_	_	NNP
20165	919	29	ab	ab	NNP
20165	919	30	_	_	NNP
20165	919	31	of	of	IN
20165	919	32	the	the	DT
20165	919	33	other	other	JJ
20165	919	34	.	.	.
20165	920	1	With	with	IN
20165	920	2	centre	centre	NN
20165	920	3	_	_	NNP
20165	920	4	A	A	NNP
20165	920	5	_	_	NNP
20165	920	6	and	and	CC
20165	920	7	radius	radius	NN
20165	920	8	_	_	NNP
20165	920	9	AB	AB	NNP
20165	920	10	_	_	NNP
20165	920	11	describe	describe	VBP
20165	920	12	arc	arc	NNP
20165	920	13	_	_	NNP
20165	920	14	Bm	Bm	NNP
20165	920	15	·	·	NFP
20165	920	16	_	_	XX
20165	920	17	till	till	IN
20165	920	18	it	-PRON-	PRP
20165	920	19	cuts	cut	VBZ
20165	920	20	the	the	DT
20165	920	21	base	base	NN
20165	920	22	line	line	NN
20165	920	23	at	at	IN
20165	920	24	_	_	NNP
20165	920	25	m	m	NNP
20165	920	26	·	·	NFP
20165	920	27	_	_	NNP
20165	920	28	.	.	.
20165	921	1	Now	now	RB
20165	921	2	_	_	NNP
20165	921	3	AB	AB	NNP
20165	921	4	_	_	NNP
20165	921	5	=	=	SYM
20165	921	6	_	_	NNP
20165	921	7	Am	Am	NNP
20165	921	8	·	·	NFP
20165	921	9	_	_	NNP
20165	921	10	,	,	,
20165	921	11	and	and	CC
20165	921	12	if	if	IN
20165	921	13	we	-PRON-	PRP
20165	921	14	join	join	VBP
20165	921	15	_	_	NNP
20165	921	16	bm	bm	IN
20165	921	17	·	·	NFP
20165	921	18	_	_	NNP
20165	921	19	then	then	RB
20165	921	20	triangle	triangle	NNP
20165	921	21	_	_	NNP
20165	921	22	BAm	BAm	NNP
20165	921	23	·	·	NFP
20165	921	24	_	_	NNP
20165	921	25	is	be	VBZ
20165	921	26	an	an	DT
20165	921	27	isosceles	isoscele	NNS
20165	921	28	triangle	triangle	NN
20165	921	29	.	.	.
20165	922	1	So	so	RB
20165	922	2	likewise	likewise	RB
20165	922	3	if	if	IN
20165	922	4	we	-PRON-	PRP
20165	922	5	join	join	VBP
20165	922	6	_	_	NNP
20165	922	7	m·b	m·b	NNP
20165	922	8	_	_	NNP
20165	922	9	in	in	IN
20165	922	10	the	the	DT
20165	922	11	perspective	perspective	JJ
20165	922	12	figure	figure	NN
20165	922	13	will	will	MD
20165	922	14	m·Ab	m·Ab	NNP
20165	922	15	be	be	VB
20165	922	16	the	the	DT
20165	922	17	same	same	JJ
20165	922	18	isosceles	isoscele	NNS
20165	922	19	triangle	triangle	VBP
20165	922	20	in	in	IN
20165	922	21	perspective	perspective	NN
20165	922	22	.	.	.
20165	923	1	Continue	continue	VB
20165	923	2	line	line	NN
20165	923	3	_	_	NNP
20165	923	4	m·b	m·b	NNP
20165	923	5	_	_	NNP
20165	923	6	till	till	IN
20165	923	7	it	-PRON-	PRP
20165	923	8	cuts	cut	VBZ
20165	923	9	the	the	DT
20165	923	10	horizon	horizon	NN
20165	923	11	in	in	IN
20165	923	12	_	_	NNP
20165	923	13	m	m	NNP
20165	923	14	_	_	NNP
20165	923	15	,	,	,
20165	923	16	which	which	WDT
20165	923	17	point	point	NN
20165	923	18	will	will	MD
20165	923	19	be	be	VB
20165	923	20	the	the	DT
20165	923	21	measuring	measuring	NN
20165	923	22	point	point	NN
20165	923	23	for	for	IN
20165	923	24	the	the	DT
20165	923	25	vanishing	vanish	VBG
20165	923	26	line	line	NN
20165	923	27	_	_	NNP
20165	923	28	AbV	AbV	NNP
20165	923	29	_	_	NNP
20165	923	30	.	.	.
20165	924	1	For	for	IN
20165	924	2	if	if	IN
20165	924	3	in	in	IN
20165	924	4	an	an	DT
20165	924	5	isosceles	isoscele	NNS
20165	924	6	triangle	triangle	NN
20165	924	7	we	-PRON-	PRP
20165	924	8	draw	draw	VBP
20165	924	9	lines	line	NNS
20165	924	10	across	across	IN
20165	924	11	it	-PRON-	PRP
20165	924	12	,	,	,
20165	924	13	parallel	parallel	JJ
20165	924	14	to	to	IN
20165	924	15	its	-PRON-	PRP$
20165	924	16	base	base	NN
20165	924	17	from	from	IN
20165	924	18	one	one	CD
20165	924	19	side	side	NN
20165	924	20	to	to	IN
20165	924	21	the	the	DT
20165	924	22	other	other	JJ
20165	924	23	,	,	,
20165	924	24	we	-PRON-	PRP
20165	924	25	divide	divide	VBP
20165	924	26	both	both	DT
20165	924	27	sides	side	NNS
20165	924	28	in	in	IN
20165	924	29	exactly	exactly	RB
20165	924	30	the	the	DT
20165	924	31	same	same	JJ
20165	924	32	quantities	quantity	NNS
20165	924	33	and	and	CC
20165	924	34	proportions	proportion	NNS
20165	924	35	,	,	,
20165	924	36	so	so	IN
20165	924	37	that	that	IN
20165	924	38	if	if	IN
20165	924	39	we	-PRON-	PRP
20165	924	40	measure	measure	VBP
20165	924	41	on	on	IN
20165	924	42	the	the	DT
20165	924	43	base	base	NN
20165	924	44	line	line	NN
20165	924	45	of	of	IN
20165	924	46	the	the	DT
20165	924	47	picture	picture	NN
20165	924	48	the	the	DT
20165	924	49	spaces	space	NNS
20165	924	50	we	-PRON-	PRP
20165	924	51	require	require	VBP
20165	924	52	,	,	,
20165	924	53	such	such	JJ
20165	924	54	as	as	IN
20165	924	55	1	1	CD
20165	924	56	,	,	,
20165	924	57	2	2	CD
20165	924	58	,	,	,
20165	924	59	3	3	CD
20165	924	60	,	,	,
20165	924	61	on	on	IN
20165	924	62	the	the	DT
20165	924	63	length	length	NN
20165	924	64	_	_	NNP
20165	924	65	Am	Am	NNP
20165	924	66	·	·	NFP
20165	924	67	_	_	NNP
20165	924	68	,	,	,
20165	924	69	and	and	CC
20165	924	70	then	then	RB
20165	924	71	from	from	IN
20165	924	72	these	these	DT
20165	924	73	divisions	division	NNS
20165	924	74	draw	draw	VBP
20165	924	75	lines	line	NNS
20165	924	76	to	to	IN
20165	924	77	the	the	DT
20165	924	78	measuring	measuring	NN
20165	924	79	point	point	NN
20165	924	80	,	,	,
20165	924	81	these	these	DT
20165	924	82	lines	line	NNS
20165	924	83	will	will	MD
20165	924	84	intersect	intersect	VB
20165	924	85	the	the	DT
20165	924	86	vanishing	vanish	VBG
20165	924	87	line	line	NN
20165	924	88	_	_	NNP
20165	924	89	AbV	AbV	NNP
20165	924	90	_	_	NNP
20165	924	91	in	in	IN
20165	924	92	the	the	DT
20165	924	93	lengths	length	NNS
20165	924	94	and	and	CC
20165	924	95	proportions	proportion	NNS
20165	924	96	required	require	VBN
20165	924	97	.	.	.
20165	925	1	To	to	TO
20165	925	2	find	find	VB
20165	925	3	a	a	DT
20165	925	4	measuring	measuring	NN
20165	925	5	point	point	NN
20165	925	6	for	for	IN
20165	925	7	the	the	DT
20165	925	8	lines	line	NNS
20165	925	9	that	that	WDT
20165	925	10	go	go	VBP
20165	925	11	to	to	IN
20165	925	12	the	the	DT
20165	925	13	other	other	JJ
20165	925	14	vanishing	vanishing	NN
20165	925	15	point	point	NN
20165	925	16	,	,	,
20165	925	17	we	-PRON-	PRP
20165	925	18	proceed	proceed	VBP
20165	925	19	in	in	IN
20165	925	20	the	the	DT
20165	925	21	same	same	JJ
20165	925	22	way	way	NN
20165	925	23	.	.	.
20165	926	1	Of	of	RB
20165	926	2	course	course	RB
20165	926	3	great	great	JJ
20165	926	4	accuracy	accuracy	NN
20165	926	5	is	be	VBZ
20165	926	6	necessary	necessary	JJ
20165	926	7	.	.	.
20165	927	1	Note	note	VB
20165	927	2	that	that	IN
20165	927	3	the	the	DT
20165	927	4	dotted	dotted	JJ
20165	927	5	lines	line	NNS
20165	927	6	1,1	1,1	CD
20165	927	7	,	,	,
20165	927	8	2,2	2,2	CD
20165	927	9	,	,	,
20165	927	10	&	&	CC
20165	927	11	c.	c.	NNP
20165	927	12	,	,	,
20165	927	13	are	be	VBP
20165	927	14	parallel	parallel	JJ
20165	927	15	in	in	IN
20165	927	16	the	the	DT
20165	927	17	perspective	perspective	NN
20165	927	18	,	,	,
20165	927	19	as	as	IN
20165	927	20	in	in	IN
20165	927	21	the	the	DT
20165	927	22	geometrical	geometrical	JJ
20165	927	23	figure	figure	NN
20165	927	24	.	.	.
20165	928	1	In	in	IN
20165	928	2	the	the	DT
20165	928	3	former	former	JJ
20165	928	4	the	the	DT
20165	928	5	lines	line	NNS
20165	928	6	are	be	VBP
20165	928	7	drawn	draw	VBN
20165	928	8	to	to	IN
20165	928	9	the	the	DT
20165	928	10	same	same	JJ
20165	928	11	point	point	NN
20165	928	12	_	_	NNP
20165	928	13	m	m	NNP
20165	928	14	_	_	NNP
20165	928	15	on	on	IN
20165	928	16	the	the	DT
20165	928	17	horizon	horizon	NN
20165	928	18	.	.	.
20165	929	1	LVIII	LVIII	NNP
20165	929	2	HOW	how	WRB
20165	929	3	TO	to	IN
20165	929	4	DIVIDE	DIVIDE	NNP
20165	929	5	ANY	any	DT
20165	929	6	GIVEN	GIVEN	NNP
20165	929	7	STRAIGHT	STRAIGHT	NNP
20165	929	8	LINE	line	NN
20165	929	9	INTO	into	VBP
20165	929	10	EQUAL	equal	NN
20165	929	11	OR	or	CC
20165	929	12	PROPORTIONATE	proportionate	NN
20165	929	13	PARTS	PARTS	NNP
20165	929	14	[	[	-LRB-
20165	929	15	Illustration	illustration	NN
20165	929	16	:	:	:
20165	929	17	Fig	Fig	NNP
20165	929	18	.	.	.
20165	930	1	117	117	CD
20165	930	2	.	.	.
20165	930	3	]	]	-RRB-
20165	931	1	Let	let	VB
20165	931	2	_	_	NNP
20165	931	3	AB	AB	NNP
20165	931	4	_	_	NNP
20165	931	5	(	(	-LRB-
20165	931	6	Fig	Fig	NNP
20165	931	7	.	.	.
20165	932	1	117	117	LS
20165	932	2	)	)	-RRB-
20165	932	3	be	be	VB
20165	932	4	the	the	DT
20165	932	5	given	give	VBN
20165	932	6	straight	straight	JJ
20165	932	7	line	line	NN
20165	932	8	that	that	WDT
20165	932	9	we	-PRON-	PRP
20165	932	10	wish	wish	VBP
20165	932	11	to	to	TO
20165	932	12	divide	divide	VB
20165	932	13	into	into	IN
20165	932	14	five	five	CD
20165	932	15	equal	equal	JJ
20165	932	16	parts	part	NNS
20165	932	17	.	.	.
20165	933	1	Draw	Draw	NNP
20165	933	2	_	_	NNP
20165	933	3	AC	AC	NNP
20165	933	4	_	_	NNP
20165	933	5	at	at	IN
20165	933	6	any	any	DT
20165	933	7	convenient	convenient	JJ
20165	933	8	angle	angle	NN
20165	933	9	,	,	,
20165	933	10	and	and	CC
20165	933	11	measure	measure	VB
20165	933	12	off	off	RP
20165	933	13	five	five	CD
20165	933	14	equal	equal	JJ
20165	933	15	parts	part	NNS
20165	933	16	with	with	IN
20165	933	17	the	the	DT
20165	933	18	compasses	compass	NNS
20165	933	19	thereon	thereon	NN
20165	933	20	,	,	,
20165	933	21	as	as	IN
20165	933	22	1	1	CD
20165	933	23	,	,	,
20165	933	24	2	2	CD
20165	933	25	,	,	,
20165	933	26	3	3	CD
20165	933	27	,	,	,
20165	933	28	4	4	CD
20165	933	29	,	,	,
20165	933	30	5	5	CD
20165	933	31	.	.	.
20165	934	1	From	from	IN
20165	934	2	5C	5c	NN
20165	934	3	draw	draw	VB
20165	934	4	line	line	NN
20165	934	5	to	to	IN
20165	934	6	5B.	5b.	CD
20165	935	1	Now	now	RB
20165	935	2	from	from	IN
20165	935	3	each	each	DT
20165	935	4	division	division	NN
20165	935	5	on	on	IN
20165	935	6	_	_	NNP
20165	935	7	AC	AC	NNP
20165	935	8	_	_	NNP
20165	935	9	draw	draw	VBP
20165	935	10	lines	line	NNS
20165	935	11	4,4	4,4	CD
20165	935	12	,	,	,
20165	935	13	3,3	3,3	CD
20165	935	14	,	,	,
20165	935	15	&	&	CC
20165	935	16	c.	c.	NNP
20165	935	17	,	,	,
20165	935	18	parallel	parallel	JJ
20165	935	19	to	to	IN
20165	935	20	5,5	5,5	CD
20165	935	21	.	.	.
20165	936	1	Then	then	RB
20165	936	2	_	_	NNP
20165	936	3	AB	AB	NNP
20165	936	4	_	_	NNP
20165	936	5	will	will	MD
20165	936	6	be	be	VB
20165	936	7	divided	divide	VBN
20165	936	8	into	into	IN
20165	936	9	the	the	DT
20165	936	10	required	require	VBN
20165	936	11	number	number	NN
20165	936	12	of	of	IN
20165	936	13	equal	equal	JJ
20165	936	14	parts	part	NNS
20165	936	15	.	.	.
20165	937	1	LIX	LIX	NNP
20165	937	2	HOW	how	WRB
20165	937	3	TO	to	TO
20165	937	4	DIVIDE	DIVIDE	VBZ
20165	937	5	A	a	DT
20165	937	6	DIAGONAL	diagonal	JJ
20165	937	7	VANISHING	vanishing	NN
20165	937	8	LINE	line	NN
20165	937	9	INTO	into	VBP
20165	937	10	ANY	any	DT
20165	937	11	NUMBER	number	NN
20165	937	12	OF	of	IN
20165	937	13	EQUAL	equal	NN
20165	937	14	OR	or	CC
20165	937	15	PROPORTIONAL	proportional	VB
20165	937	16	PARTS	PARTS	NNP
20165	937	17	In	in	IN
20165	937	18	a	a	DT
20165	937	19	previous	previous	JJ
20165	937	20	figure	figure	NN
20165	937	21	(	(	-LRB-
20165	937	22	Fig	fig	NN
20165	937	23	.	.	.
20165	938	1	116	116	LS
20165	938	2	)	)	-RRB-
20165	938	3	we	-PRON-	PRP
20165	938	4	have	have	VBP
20165	938	5	shown	show	VBN
20165	938	6	how	how	WRB
20165	938	7	to	to	TO
20165	938	8	find	find	VB
20165	938	9	a	a	DT
20165	938	10	measuring	measuring	NN
20165	938	11	point	point	NN
20165	938	12	when	when	WRB
20165	938	13	the	the	DT
20165	938	14	exact	exact	JJ
20165	938	15	measure	measure	NN
20165	938	16	of	of	IN
20165	938	17	a	a	DT
20165	938	18	vanishing	vanish	VBG
20165	938	19	line	line	NN
20165	938	20	is	be	VBZ
20165	938	21	required	require	VBN
20165	938	22	,	,	,
20165	938	23	but	but	CC
20165	938	24	if	if	IN
20165	938	25	it	-PRON-	PRP
20165	938	26	suffices	suffice	VBZ
20165	938	27	merely	merely	RB
20165	938	28	to	to	TO
20165	938	29	divide	divide	VB
20165	938	30	a	a	DT
20165	938	31	line	line	NN
20165	938	32	into	into	IN
20165	938	33	a	a	DT
20165	938	34	given	give	VBN
20165	938	35	number	number	NN
20165	938	36	of	of	IN
20165	938	37	equal	equal	JJ
20165	938	38	parts	part	NNS
20165	938	39	,	,	,
20165	938	40	then	then	RB
20165	938	41	the	the	DT
20165	938	42	following	follow	VBG
20165	938	43	simple	simple	JJ
20165	938	44	method	method	NN
20165	938	45	can	can	MD
20165	938	46	be	be	VB
20165	938	47	adopted	adopt	VBN
20165	938	48	.	.	.
20165	939	1	We	-PRON-	PRP
20165	939	2	wish	wish	VBP
20165	939	3	to	to	TO
20165	939	4	divide	divide	VB
20165	939	5	_	_	NNP
20165	939	6	ab	ab	NNP
20165	939	7	_	_	NNP
20165	939	8	into	into	IN
20165	939	9	five	five	CD
20165	939	10	equal	equal	JJ
20165	939	11	parts	part	NNS
20165	939	12	.	.	.
20165	940	1	From	from	IN
20165	940	2	_	_	NNP
20165	940	3	a	a	DT
20165	940	4	_	_	NNP
20165	940	5	,	,	,
20165	940	6	measure	measure	VB
20165	940	7	off	off	RP
20165	940	8	on	on	IN
20165	940	9	the	the	DT
20165	940	10	ground	ground	NN
20165	940	11	line	line	NN
20165	940	12	the	the	DT
20165	940	13	five	five	CD
20165	940	14	equal	equal	JJ
20165	940	15	spaces	space	NNS
20165	940	16	required	require	VBN
20165	940	17	.	.	.
20165	941	1	From	from	IN
20165	941	2	5	5	CD
20165	941	3	,	,	,
20165	941	4	the	the	DT
20165	941	5	point	point	NN
20165	941	6	to	to	TO
20165	941	7	which	which	WDT
20165	941	8	these	these	DT
20165	941	9	measures	measure	NNS
20165	941	10	extend	extend	VB
20165	941	11	(	(	-LRB-
20165	941	12	as	as	IN
20165	941	13	they	-PRON-	PRP
20165	941	14	are	be	VBP
20165	941	15	taken	take	VBN
20165	941	16	at	at	IN
20165	941	17	random	random	JJ
20165	941	18	)	)	-RRB-
20165	941	19	,	,	,
20165	941	20	draw	draw	VB
20165	941	21	a	a	DT
20165	941	22	line	line	NN
20165	941	23	through	through	IN
20165	941	24	_	_	NNP
20165	941	25	b	b	NNP
20165	941	26	_	_	NNP
20165	941	27	till	till	IN
20165	941	28	it	-PRON-	PRP
20165	941	29	cuts	cut	VBZ
20165	941	30	the	the	DT
20165	941	31	horizon	horizon	NN
20165	941	32	at	at	IN
20165	941	33	_	_	NNP
20165	941	34	O	O	NNP
20165	941	35	_	_	NNP
20165	941	36	.	.	.
20165	942	1	Then	then	RB
20165	942	2	proceed	proceed	VB
20165	942	3	to	to	TO
20165	942	4	draw	draw	VB
20165	942	5	lines	line	NNS
20165	942	6	from	from	IN
20165	942	7	each	each	DT
20165	942	8	division	division	NN
20165	942	9	on	on	IN
20165	942	10	the	the	DT
20165	942	11	base	base	NN
20165	942	12	to	to	TO
20165	942	13	point	point	VB
20165	942	14	_	_	NNP
20165	942	15	O	O	NNP
20165	942	16	_	_	NNP
20165	942	17	,	,	,
20165	942	18	and	and	CC
20165	942	19	they	-PRON-	PRP
20165	942	20	will	will	MD
20165	942	21	intersect	intersect	VB
20165	942	22	and	and	CC
20165	942	23	divide	divide	VB
20165	942	24	_	_	NNP
20165	942	25	ab	ab	NNP
20165	942	26	_	_	NNP
20165	942	27	into	into	IN
20165	942	28	the	the	DT
20165	942	29	required	require	VBN
20165	942	30	number	number	NN
20165	942	31	of	of	IN
20165	942	32	equal	equal	JJ
20165	942	33	parts	part	NNS
20165	942	34	.	.	.
20165	943	1	[	[	-LRB-
20165	943	2	Illustration	illustration	NN
20165	943	3	:	:	:
20165	943	4	Fig	Fig	NNP
20165	943	5	.	.	.
20165	944	1	118	118	CD
20165	944	2	.	.	.
20165	944	3	]	]	-RRB-
20165	945	1	[	[	-LRB-
20165	945	2	Illustration	illustration	NN
20165	945	3	:	:	:
20165	945	4	Fig	Fig	NNP
20165	945	5	.	.	.
20165	946	1	119	119	CD
20165	946	2	.	.	.
20165	946	3	]	]	-RRB-
20165	947	1	The	the	DT
20165	947	2	same	same	JJ
20165	947	3	method	method	NN
20165	947	4	applies	apply	VBZ
20165	947	5	to	to	IN
20165	947	6	a	a	DT
20165	947	7	given	give	VBN
20165	947	8	line	line	NN
20165	947	9	to	to	TO
20165	947	10	be	be	VB
20165	947	11	divided	divide	VBN
20165	947	12	into	into	IN
20165	947	13	various	various	JJ
20165	947	14	proportions	proportion	NNS
20165	947	15	,	,	,
20165	947	16	as	as	IN
20165	947	17	shown	show	VBN
20165	947	18	in	in	IN
20165	947	19	this	this	DT
20165	947	20	lower	low	JJR
20165	947	21	figure	figure	NN
20165	947	22	.	.	.
20165	948	1	[	[	-LRB-
20165	948	2	Illustration	illustration	NN
20165	948	3	:	:	:
20165	948	4	Fig	Fig	NNP
20165	948	5	.	.	.
20165	949	1	120	120	CD
20165	949	2	.	.	.
20165	949	3	]	]	-RRB-
20165	950	1	[	[	-LRB-
20165	950	2	Illustration	illustration	NN
20165	950	3	:	:	:
20165	950	4	Fig	Fig	NNP
20165	950	5	.	.	.
20165	951	1	121	121	CD
20165	951	2	.	.	.
20165	951	3	]	]	-RRB-
20165	952	1	LX	LX	NNP
20165	952	2	FURTHER	FURTHER	NNP
20165	952	3	USE	use	NN
20165	952	4	OF	of	IN
20165	952	5	THE	the	DT
20165	952	6	MEASURING	MEASURING	NNP
20165	952	7	POINT	POINT	NNS
20165	952	8	O	o	NN
20165	952	9	One	one	CD
20165	952	10	square	square	NN
20165	952	11	in	in	IN
20165	952	12	oblique	oblique	JJ
20165	952	13	or	or	CC
20165	952	14	angular	angular	JJ
20165	952	15	perspective	perspective	NN
20165	952	16	being	be	VBG
20165	952	17	given	give	VBN
20165	952	18	,	,	,
20165	952	19	draw	draw	VB
20165	952	20	any	any	DT
20165	952	21	number	number	NN
20165	952	22	of	of	IN
20165	952	23	other	other	JJ
20165	952	24	squares	square	NNS
20165	952	25	equal	equal	JJ
20165	952	26	to	to	IN
20165	952	27	it	-PRON-	PRP
20165	952	28	by	by	IN
20165	952	29	means	mean	NNS
20165	952	30	of	of	IN
20165	952	31	this	this	DT
20165	952	32	point	point	NN
20165	952	33	_	_	NNP
20165	952	34	O	o	UH
20165	952	35	_	_	NNP
20165	952	36	and	and	CC
20165	952	37	the	the	DT
20165	952	38	diagonals	diagonal	NNS
20165	952	39	.	.	.
20165	953	1	Let	let	VB
20165	953	2	_	_	NNP
20165	953	3	ABCD	ABCD	NNP
20165	953	4	_	_	NNP
20165	953	5	(	(	-LRB-
20165	953	6	Fig	Fig	NNP
20165	953	7	.	.	.
20165	954	1	120	120	LS
20165	954	2	)	)	-RRB-
20165	954	3	be	be	VB
20165	954	4	the	the	DT
20165	954	5	given	give	VBN
20165	954	6	square	square	NN
20165	954	7	;	;	:
20165	954	8	produce	produce	VB
20165	954	9	its	-PRON-	PRP$
20165	954	10	sides	side	NNS
20165	954	11	_	_	NNP
20165	954	12	AB	AB	NNP
20165	954	13	_	_	NNP
20165	954	14	,	,	,
20165	954	15	_	_	NNP
20165	954	16	DC	DC	NNP
20165	954	17	_	_	NNP
20165	954	18	till	till	IN
20165	954	19	they	-PRON-	PRP
20165	954	20	meet	meet	VBP
20165	954	21	at	at	IN
20165	954	22	point	point	NN
20165	954	23	_	_	NNP
20165	954	24	V	V	NNP
20165	954	25	_	_	NNP
20165	954	26	.	.	.
20165	955	1	From	from	IN
20165	955	2	_	_	NNP
20165	955	3	D	D	NNP
20165	955	4	_	_	NNP
20165	955	5	measure	measure	NN
20165	955	6	off	off	RP
20165	955	7	on	on	IN
20165	955	8	base	base	NN
20165	955	9	any	any	DT
20165	955	10	number	number	NN
20165	955	11	of	of	IN
20165	955	12	equal	equal	JJ
20165	955	13	spaces	space	NNS
20165	955	14	of	of	IN
20165	955	15	any	any	DT
20165	955	16	convenient	convenient	JJ
20165	955	17	length	length	NN
20165	955	18	,	,	,
20165	955	19	as	as	IN
20165	955	20	1	1	CD
20165	955	21	,	,	,
20165	955	22	2	2	CD
20165	955	23	,	,	,
20165	955	24	3	3	CD
20165	955	25	,	,	,
20165	955	26	&	&	CC
20165	955	27	c.	c.	NNP
20165	955	28	;	;	:
20165	955	29	from	from	IN
20165	955	30	1	1	CD
20165	955	31	,	,	,
20165	955	32	through	through	IN
20165	955	33	corner	corner	NN
20165	955	34	of	of	IN
20165	955	35	square	square	NN
20165	955	36	_	_	NNP
20165	955	37	C	C	NNP
20165	955	38	_	_	NNP
20165	955	39	,	,	,
20165	955	40	draw	draw	VB
20165	955	41	a	a	DT
20165	955	42	line	line	NN
20165	955	43	to	to	TO
20165	955	44	meet	meet	VB
20165	955	45	the	the	DT
20165	955	46	horizon	horizon	NN
20165	955	47	at	at	IN
20165	955	48	_	_	NNP
20165	955	49	O	O	NNP
20165	955	50	_	_	NNP
20165	955	51	,	,	,
20165	955	52	and	and	CC
20165	955	53	from	from	IN
20165	955	54	_	_	NNP
20165	955	55	O	O	NNP
20165	955	56	_	_	NNP
20165	955	57	draw	draw	VBP
20165	955	58	lines	line	NNS
20165	955	59	to	to	IN
20165	955	60	the	the	DT
20165	955	61	several	several	JJ
20165	955	62	divisions	division	NNS
20165	955	63	on	on	IN
20165	955	64	base	base	NN
20165	955	65	line	line	NN
20165	955	66	.	.	.
20165	956	1	These	these	DT
20165	956	2	lines	line	NNS
20165	956	3	will	will	MD
20165	956	4	divide	divide	VB
20165	956	5	the	the	DT
20165	956	6	vanishing	vanish	VBG
20165	956	7	line	line	NN
20165	956	8	_	_	NNP
20165	956	9	DV	DV	NNP
20165	956	10	_	_	NNP
20165	956	11	into	into	IN
20165	956	12	the	the	DT
20165	956	13	required	require	VBN
20165	956	14	number	number	NN
20165	956	15	of	of	IN
20165	956	16	parts	part	NNS
20165	956	17	equal	equal	JJ
20165	956	18	to	to	IN
20165	956	19	_	_	NNP
20165	956	20	DC	DC	NNP
20165	956	21	_	_	NNP
20165	956	22	,	,	,
20165	956	23	the	the	DT
20165	956	24	side	side	NN
20165	956	25	of	of	IN
20165	956	26	the	the	DT
20165	956	27	square	square	NN
20165	956	28	.	.	.
20165	957	1	Produce	produce	VB
20165	957	2	the	the	DT
20165	957	3	diagonal	diagonal	NN
20165	957	4	of	of	IN
20165	957	5	the	the	DT
20165	957	6	square	square	NN
20165	957	7	_	_	NNP
20165	957	8	DB	DB	NNP
20165	957	9	_	_	NNP
20165	957	10	till	till	IN
20165	957	11	it	-PRON-	PRP
20165	957	12	cuts	cut	VBZ
20165	957	13	the	the	DT
20165	957	14	horizon	horizon	NN
20165	957	15	at	at	IN
20165	957	16	_	_	NNP
20165	957	17	G	G	NNP
20165	957	18	_	_	NNP
20165	957	19	.	.	.
20165	958	1	From	from	IN
20165	958	2	the	the	DT
20165	958	3	divisions	division	NNS
20165	958	4	on	on	IN
20165	958	5	line	line	NN
20165	958	6	_	_	NNP
20165	958	7	DV	DV	NNP
20165	958	8	_	_	NNP
20165	958	9	draw	draw	VB
20165	958	10	diagonals	diagonal	NNS
20165	958	11	to	to	TO
20165	958	12	point	point	VB
20165	958	13	_	_	NNP
20165	958	14	G	G	NNP
20165	958	15	_	_	NNP
20165	958	16	:	:	:
20165	958	17	their	-PRON-	PRP$
20165	958	18	intersections	intersection	NNS
20165	958	19	with	with	IN
20165	958	20	the	the	DT
20165	958	21	other	other	JJ
20165	958	22	vanishing	vanish	VBG
20165	958	23	line	line	NN
20165	958	24	_	_	NNP
20165	958	25	AV	AV	NNP
20165	958	26	_	_	NNP
20165	958	27	will	will	MD
20165	958	28	determine	determine	VB
20165	958	29	the	the	DT
20165	958	30	direction	direction	NN
20165	958	31	of	of	IN
20165	958	32	the	the	DT
20165	958	33	cross	cross	NN
20165	958	34	-	-	NNS
20165	958	35	lines	line	NNS
20165	958	36	which	which	WDT
20165	958	37	form	form	VBP
20165	958	38	the	the	DT
20165	958	39	bases	basis	NNS
20165	958	40	of	of	IN
20165	958	41	other	other	JJ
20165	958	42	squares	square	NNS
20165	958	43	without	without	IN
20165	958	44	the	the	DT
20165	958	45	necessity	necessity	NN
20165	958	46	of	of	IN
20165	958	47	drawing	draw	VBG
20165	958	48	them	-PRON-	PRP
20165	958	49	to	to	IN
20165	958	50	the	the	DT
20165	958	51	other	other	JJ
20165	958	52	vanishing	vanishing	NN
20165	958	53	point	point	NN
20165	958	54	,	,	,
20165	958	55	which	which	WDT
20165	958	56	in	in	IN
20165	958	57	this	this	DT
20165	958	58	case	case	NN
20165	958	59	is	be	VBZ
20165	958	60	some	some	DT
20165	958	61	distance	distance	NN
20165	958	62	to	to	IN
20165	958	63	the	the	DT
20165	958	64	left	left	NN
20165	958	65	of	of	IN
20165	958	66	the	the	DT
20165	958	67	picture	picture	NN
20165	958	68	.	.	.
20165	959	1	If	if	IN
20165	959	2	we	-PRON-	PRP
20165	959	3	produce	produce	VBP
20165	959	4	these	these	DT
20165	959	5	cross	cross	NN
20165	959	6	-	-	NNS
20165	959	7	lines	line	NNS
20165	959	8	to	to	IN
20165	959	9	the	the	DT
20165	959	10	horizon	horizon	NN
20165	959	11	we	-PRON-	PRP
20165	959	12	shall	shall	MD
20165	959	13	find	find	VB
20165	959	14	that	that	IN
20165	959	15	they	-PRON-	PRP
20165	959	16	all	all	DT
20165	959	17	meet	meet	VBP
20165	959	18	at	at	IN
20165	959	19	the	the	DT
20165	959	20	other	other	JJ
20165	959	21	vanishing	vanishing	NN
20165	959	22	point	point	NN
20165	959	23	,	,	,
20165	959	24	to	to	IN
20165	959	25	which	which	WDT
20165	959	26	of	of	IN
20165	959	27	course	course	NN
20165	959	28	it	-PRON-	PRP
20165	959	29	is	be	VBZ
20165	959	30	easy	easy	JJ
20165	959	31	to	to	TO
20165	959	32	draw	draw	VB
20165	959	33	them	-PRON-	PRP
20165	959	34	when	when	WRB
20165	959	35	that	that	DT
20165	959	36	point	point	NN
20165	959	37	is	be	VBZ
20165	959	38	accessible	accessible	JJ
20165	959	39	,	,	,
20165	959	40	as	as	IN
20165	959	41	in	in	IN
20165	959	42	Fig	Fig	NNP
20165	959	43	.	.	.
20165	960	1	121	121	CD
20165	960	2	;	;	:
20165	960	3	but	but	CC
20165	960	4	if	if	IN
20165	960	5	it	-PRON-	PRP
20165	960	6	is	be	VBZ
20165	960	7	too	too	RB
20165	960	8	far	far	RB
20165	960	9	out	out	IN
20165	960	10	of	of	IN
20165	960	11	the	the	DT
20165	960	12	picture	picture	NN
20165	960	13	,	,	,
20165	960	14	then	then	RB
20165	960	15	this	this	DT
20165	960	16	method	method	NN
20165	960	17	enables	enable	VBZ
20165	960	18	us	-PRON-	PRP
20165	960	19	to	to	TO
20165	960	20	do	do	VB
20165	960	21	without	without	IN
20165	960	22	it	-PRON-	PRP
20165	960	23	.	.	.
20165	961	1	Figure	figure	NN
20165	961	2	121	121	CD
20165	961	3	corroborates	corroborate	NNS
20165	961	4	the	the	DT
20165	961	5	above	above	JJ
20165	961	6	by	by	IN
20165	961	7	showing	show	VBG
20165	961	8	the	the	DT
20165	961	9	two	two	CD
20165	961	10	vanishing	vanish	VBG
20165	961	11	points	point	NNS
20165	961	12	and	and	CC
20165	961	13	additional	additional	JJ
20165	961	14	squares	square	NNS
20165	961	15	.	.	.
20165	962	1	Note	note	VB
20165	962	2	the	the	DT
20165	962	3	working	working	NN
20165	962	4	of	of	IN
20165	962	5	the	the	DT
20165	962	6	diagonals	diagonal	NNS
20165	962	7	drawn	draw	VBN
20165	962	8	to	to	TO
20165	962	9	point	point	VB
20165	962	10	_	_	NNP
20165	962	11	G	G	NNP
20165	962	12	_	_	NNP
20165	962	13	,	,	,
20165	962	14	in	in	IN
20165	962	15	both	both	DT
20165	962	16	figures	figure	NNS
20165	962	17	.	.	.
20165	963	1	LXI	LXI	NNP
20165	963	2	FURTHER	FURTHER	NNP
20165	963	3	USE	use	NN
20165	963	4	OF	of	IN
20165	963	5	THE	the	DT
20165	963	6	MEASURING	MEASURING	NNP
20165	963	7	POINT	POINT	NNS
20165	963	8	O	o	PRP
20165	963	9	Suppose	suppose	VBP
20165	963	10	we	-PRON-	PRP
20165	963	11	wish	wish	VBP
20165	963	12	to	to	TO
20165	963	13	divide	divide	VB
20165	963	14	the	the	DT
20165	963	15	side	side	NN
20165	963	16	of	of	IN
20165	963	17	a	a	DT
20165	963	18	building	building	NN
20165	963	19	,	,	,
20165	963	20	as	as	IN
20165	963	21	in	in	IN
20165	963	22	Fig	Fig	NNP
20165	963	23	.	.	.
20165	964	1	123	123	CD
20165	964	2	,	,	,
20165	964	3	or	or	CC
20165	964	4	to	to	TO
20165	964	5	draw	draw	VB
20165	964	6	a	a	DT
20165	964	7	balcony	balcony	NN
20165	964	8	,	,	,
20165	964	9	a	a	DT
20165	964	10	series	series	NN
20165	964	11	of	of	IN
20165	964	12	windows	window	NNS
20165	964	13	,	,	,
20165	964	14	or	or	CC
20165	964	15	columns	column	NNS
20165	964	16	,	,	,
20165	964	17	or	or	CC
20165	964	18	what	what	WP
20165	964	19	not	not	RB
20165	964	20	,	,	,
20165	964	21	or	or	CC
20165	964	22	,	,	,
20165	964	23	in	in	IN
20165	964	24	other	other	JJ
20165	964	25	words	word	NNS
20165	964	26	,	,	,
20165	964	27	any	any	DT
20165	964	28	line	line	NN
20165	964	29	above	above	IN
20165	964	30	the	the	DT
20165	964	31	horizon	horizon	NN
20165	964	32	,	,	,
20165	964	33	as	as	IN
20165	964	34	_	_	NNP
20165	964	35	AB	AB	NNP
20165	964	36	_	_	NNP
20165	964	37	.	.	.
20165	965	1	Then	then	RB
20165	965	2	from	from	IN
20165	965	3	_	_	NNP
20165	965	4	A	A	NNP
20165	965	5	_	_	NNP
20165	965	6	we	-PRON-	PRP
20165	965	7	draw	draw	VBP
20165	965	8	_	_	NNP
20165	965	9	AC	AC	NNP
20165	965	10	_	_	NNP
20165	965	11	parallel	parallel	NN
20165	965	12	to	to	IN
20165	965	13	the	the	DT
20165	965	14	horizon	horizon	NN
20165	965	15	,	,	,
20165	965	16	and	and	CC
20165	965	17	mark	mark	NNP
20165	965	18	thereon	thereon	NNP
20165	965	19	the	the	DT
20165	965	20	required	require	VBN
20165	965	21	divisions	division	NNS
20165	965	22	5	5	CD
20165	965	23	,	,	,
20165	965	24	10	10	CD
20165	965	25	,	,	,
20165	965	26	15	15	CD
20165	965	27	,	,	,
20165	965	28	&	&	CC
20165	965	29	c.	c.	NNP
20165	965	30	:	:	:
20165	965	31	in	in	IN
20165	965	32	this	this	DT
20165	965	33	case	case	NN
20165	965	34	twenty	twenty	CD
20165	965	35	-	-	HYPH
20165	965	36	five	five	CD
20165	965	37	(	(	-LRB-
20165	965	38	Fig	fig	NN
20165	965	39	.	.	.
20165	966	1	122	122	CD
20165	966	2	)	)	-RRB-
20165	966	3	.	.	.
20165	967	1	From	from	IN
20165	967	2	_	_	NNP
20165	967	3	C	C	NNP
20165	967	4	_	_	NNP
20165	967	5	draw	draw	VB
20165	967	6	a	a	DT
20165	967	7	line	line	NN
20165	967	8	through	through	IN
20165	967	9	_	_	NNP
20165	967	10	B	B	NNP
20165	967	11	_	_	NNP
20165	967	12	till	till	IN
20165	967	13	it	-PRON-	PRP
20165	967	14	cuts	cut	VBZ
20165	967	15	the	the	DT
20165	967	16	horizon	horizon	NN
20165	967	17	at	at	IN
20165	967	18	_	_	NNP
20165	967	19	O	O	NNP
20165	967	20	_	_	NNP
20165	967	21	.	.	.
20165	968	1	Then	then	RB
20165	968	2	proceed	proceed	VB
20165	968	3	to	to	TO
20165	968	4	draw	draw	VB
20165	968	5	the	the	DT
20165	968	6	other	other	JJ
20165	968	7	lines	line	NNS
20165	968	8	from	from	IN
20165	968	9	each	each	DT
20165	968	10	division	division	NN
20165	968	11	to	to	IN
20165	968	12	_	_	NNP
20165	968	13	O	O	NNP
20165	968	14	_	_	NNP
20165	968	15	,	,	,
20165	968	16	and	and	CC
20165	968	17	thus	thus	RB
20165	968	18	divide	divide	VBP
20165	968	19	the	the	DT
20165	968	20	vanishing	vanish	VBG
20165	968	21	line	line	NN
20165	968	22	_	_	NNP
20165	968	23	AB	AB	NNP
20165	968	24	_	_	NNP
20165	968	25	as	as	IN
20165	968	26	required	require	VBN
20165	968	27	.	.	.
20165	969	1	[	[	-LRB-
20165	969	2	Illustration	illustration	NN
20165	969	3	:	:	:
20165	969	4	Fig	Fig	NNP
20165	969	5	.	.	.
20165	970	1	122	122	CD
20165	970	2	is	be	VBZ
20165	970	3	a	a	DT
20165	970	4	front	front	JJ
20165	970	5	view	view	NN
20165	970	6	of	of	IN
20165	970	7	the	the	DT
20165	970	8	portico	portico	NN
20165	970	9	,	,	,
20165	970	10	Fig	Fig	NNP
20165	970	11	.	.	.
20165	971	1	123	123	CD
20165	971	2	.	.	.
20165	971	3	]	]	-RRB-
20165	972	1	[	[	-LRB-
20165	972	2	Illustration	illustration	NN
20165	972	3	:	:	:
20165	972	4	Fig	Fig	NNP
20165	972	5	.	.	.
20165	973	1	123	123	CD
20165	973	2	.	.	.
20165	973	3	]	]	-RRB-
20165	974	1	In	in	IN
20165	974	2	this	this	DT
20165	974	3	portico	portico	NN
20165	974	4	there	there	EX
20165	974	5	are	be	VBP
20165	974	6	thirteen	thirteen	CD
20165	974	7	triglyphs	triglyph	NNS
20165	974	8	with	with	IN
20165	974	9	twelve	twelve	CD
20165	974	10	spaces	space	NNS
20165	974	11	between	between	IN
20165	974	12	them	-PRON-	PRP
20165	974	13	,	,	,
20165	974	14	making	make	VBG
20165	974	15	twenty	twenty	CD
20165	974	16	-	-	HYPH
20165	974	17	five	five	CD
20165	974	18	divisions	division	NNS
20165	974	19	.	.	.
20165	975	1	The	the	DT
20165	975	2	required	require	VBN
20165	975	3	number	number	NN
20165	975	4	of	of	IN
20165	975	5	parts	part	NNS
20165	975	6	to	to	TO
20165	975	7	draw	draw	VB
20165	975	8	the	the	DT
20165	975	9	columns	column	NNS
20165	975	10	can	can	MD
20165	975	11	be	be	VB
20165	975	12	obtained	obtain	VBN
20165	975	13	in	in	IN
20165	975	14	the	the	DT
20165	975	15	same	same	JJ
20165	975	16	way	way	NN
20165	975	17	.	.	.
20165	976	1	LXII	lxii	VB
20165	976	2	ANOTHER	another	DT
20165	976	3	METHOD	method	NN
20165	976	4	OF	of	IN
20165	976	5	ANGULAR	ANGULAR	NNP
20165	976	6	PERSPECTIVE	PERSPECTIVE	NNP
20165	976	7	,	,	,
20165	976	8	BEING	be	VBG
20165	976	9	THAT	that	IN
20165	976	10	ADOPTED	adopt	VBN
20165	976	11	IN	in	IN
20165	976	12	OUR	our	PRP$
20165	976	13	ART	ART	NNP
20165	976	14	SCHOOLS	school	NNS
20165	976	15	In	in	IN
20165	976	16	the	the	DT
20165	976	17	previous	previous	JJ
20165	976	18	method	method	NN
20165	976	19	we	-PRON-	PRP
20165	976	20	have	have	VBP
20165	976	21	drawn	draw	VBN
20165	976	22	our	-PRON-	PRP$
20165	976	23	squares	square	NNS
20165	976	24	by	by	IN
20165	976	25	means	mean	NNS
20165	976	26	of	of	IN
20165	976	27	a	a	DT
20165	976	28	geometrical	geometrical	JJ
20165	976	29	plan	plan	NN
20165	976	30	,	,	,
20165	976	31	putting	put	VBG
20165	976	32	each	each	DT
20165	976	33	point	point	NN
20165	976	34	into	into	IN
20165	976	35	perspective	perspective	NN
20165	976	36	as	as	IN
20165	976	37	required	require	VBN
20165	976	38	,	,	,
20165	976	39	and	and	CC
20165	976	40	then	then	RB
20165	976	41	by	by	IN
20165	976	42	means	mean	NNS
20165	976	43	of	of	IN
20165	976	44	the	the	DT
20165	976	45	perspective	perspective	NN
20165	976	46	drawing	drawing	NN
20165	976	47	thus	thus	RB
20165	976	48	obtained	obtain	VBN
20165	976	49	,	,	,
20165	976	50	finding	find	VBG
20165	976	51	our	-PRON-	PRP$
20165	976	52	vanishing	vanish	VBG
20165	976	53	and	and	CC
20165	976	54	measuring	measure	VBG
20165	976	55	points	point	NNS
20165	976	56	.	.	.
20165	977	1	In	in	IN
20165	977	2	this	this	DT
20165	977	3	method	method	NN
20165	977	4	we	-PRON-	PRP
20165	977	5	proceed	proceed	VBP
20165	977	6	in	in	IN
20165	977	7	exactly	exactly	RB
20165	977	8	the	the	DT
20165	977	9	opposite	opposite	JJ
20165	977	10	way	way	NN
20165	977	11	,	,	,
20165	977	12	setting	set	VBG
20165	977	13	out	out	RP
20165	977	14	our	-PRON-	PRP$
20165	977	15	points	point	NNS
20165	977	16	first	first	RB
20165	977	17	,	,	,
20165	977	18	and	and	CC
20165	977	19	drawing	draw	VBG
20165	977	20	the	the	DT
20165	977	21	square	square	NN
20165	977	22	(	(	-LRB-
20165	977	23	or	or	CC
20165	977	24	other	other	JJ
20165	977	25	figure	figure	NN
20165	977	26	)	)	-RRB-
20165	977	27	afterwards	afterwards	RB
20165	977	28	.	.	.
20165	978	1	[	[	-LRB-
20165	978	2	Illustration	illustration	NN
20165	978	3	:	:	:
20165	978	4	Fig	Fig	NNP
20165	978	5	.	.	.
20165	979	1	124	124	CD
20165	979	2	.	.	.
20165	979	3	]	]	-RRB-
20165	980	1	Having	have	VBG
20165	980	2	drawn	draw	VBN
20165	980	3	the	the	DT
20165	980	4	horizontal	horizontal	JJ
20165	980	5	and	and	CC
20165	980	6	base	base	NN
20165	980	7	lines	line	NNS
20165	980	8	,	,	,
20165	980	9	and	and	CC
20165	980	10	fixed	fix	VBN
20165	980	11	upon	upon	IN
20165	980	12	the	the	DT
20165	980	13	position	position	NN
20165	980	14	of	of	IN
20165	980	15	the	the	DT
20165	980	16	point	point	NN
20165	980	17	of	of	IN
20165	980	18	sight	sight	NN
20165	980	19	,	,	,
20165	980	20	we	-PRON-	PRP
20165	980	21	next	next	RB
20165	980	22	mark	mark	VBP
20165	980	23	the	the	DT
20165	980	24	position	position	NN
20165	980	25	of	of	IN
20165	980	26	the	the	DT
20165	980	27	spectator	spectator	NN
20165	980	28	by	by	IN
20165	980	29	dropping	drop	VBG
20165	980	30	a	a	DT
20165	980	31	perpendicular	perpendicular	NN
20165	980	32	,	,	,
20165	980	33	_	_	NNP
20165	980	34	S	S	NNP
20165	980	35	ST	ST	NNP
20165	980	36	_	_	NNP
20165	980	37	,	,	,
20165	980	38	from	from	IN
20165	980	39	that	that	DT
20165	980	40	point	point	NN
20165	980	41	of	of	IN
20165	980	42	sight	sight	NN
20165	980	43	,	,	,
20165	980	44	making	make	VBG
20165	980	45	it	-PRON-	PRP
20165	980	46	the	the	DT
20165	980	47	same	same	JJ
20165	980	48	length	length	NN
20165	980	49	as	as	IN
20165	980	50	the	the	DT
20165	980	51	distance	distance	NN
20165	980	52	we	-PRON-	PRP
20165	980	53	suppose	suppose	VBP
20165	980	54	the	the	DT
20165	980	55	spectator	spectator	NN
20165	980	56	to	to	TO
20165	980	57	be	be	VB
20165	980	58	from	from	IN
20165	980	59	the	the	DT
20165	980	60	picture	picture	NN
20165	980	61	,	,	,
20165	980	62	and	and	CC
20165	980	63	thus	thus	RB
20165	980	64	we	-PRON-	PRP
20165	980	65	make	make	VBP
20165	980	66	_	_	NNP
20165	980	67	ST	ST	NNP
20165	980	68	_	_	NNP
20165	980	69	the	the	DT
20165	980	70	station	station	NN
20165	980	71	-	-	HYPH
20165	980	72	point	point	NN
20165	980	73	.	.	.
20165	981	1	To	to	TO
20165	981	2	understand	understand	VB
20165	981	3	this	this	DT
20165	981	4	figure	figure	NN
20165	981	5	we	-PRON-	PRP
20165	981	6	must	must	MD
20165	981	7	first	first	RB
20165	981	8	look	look	VB
20165	981	9	upon	upon	IN
20165	981	10	it	-PRON-	PRP
20165	981	11	as	as	IN
20165	981	12	a	a	DT
20165	981	13	ground	ground	NN
20165	981	14	-	-	HYPH
20165	981	15	plan	plan	NN
20165	981	16	or	or	CC
20165	981	17	bird's	bird's	NN
20165	981	18	-	-	HYPH
20165	981	19	eye	eye	NN
20165	981	20	view	view	NN
20165	981	21	,	,	,
20165	981	22	the	the	DT
20165	981	23	line	line	NN
20165	981	24	V2V1	V2V1	NNS
20165	981	25	or	or	CC
20165	981	26	horizon	horizon	NN
20165	981	27	line	line	NN
20165	981	28	representing	represent	VBG
20165	981	29	the	the	DT
20165	981	30	picture	picture	NN
20165	981	31	seen	see	VBN
20165	981	32	edgeways	edgeway	NNS
20165	981	33	,	,	,
20165	981	34	because	because	IN
20165	981	35	of	of	IN
20165	981	36	course	course	NN
20165	981	37	the	the	DT
20165	981	38	station	station	NN
20165	981	39	-	-	HYPH
20165	981	40	point	point	NN
20165	981	41	can	can	MD
20165	981	42	not	not	RB
20165	981	43	be	be	VB
20165	981	44	in	in	IN
20165	981	45	the	the	DT
20165	981	46	picture	picture	NN
20165	981	47	itself	-PRON-	PRP
20165	981	48	,	,	,
20165	981	49	but	but	CC
20165	981	50	a	a	DT
20165	981	51	certain	certain	JJ
20165	981	52	distance	distance	NN
20165	981	53	in	in	IN
20165	981	54	front	front	NN
20165	981	55	of	of	IN
20165	981	56	it	-PRON-	PRP
20165	981	57	.	.	.
20165	982	1	The	the	DT
20165	982	2	angle	angle	NN
20165	982	3	at	at	IN
20165	982	4	_	_	NNP
20165	982	5	ST	ST	NNP
20165	982	6	_	_	NNP
20165	982	7	,	,	,
20165	982	8	that	that	DT
20165	982	9	is	be	VBZ
20165	982	10	the	the	DT
20165	982	11	angle	angle	NN
20165	982	12	which	which	WDT
20165	982	13	decides	decide	VBZ
20165	982	14	the	the	DT
20165	982	15	positions	position	NNS
20165	982	16	of	of	IN
20165	982	17	the	the	DT
20165	982	18	two	two	CD
20165	982	19	vanishing	vanish	VBG
20165	982	20	points	point	NNS
20165	982	21	V1	V1	NNP
20165	982	22	,	,	,
20165	982	23	V2	v2	NN
20165	982	24	,	,	,
20165	982	25	is	be	VBZ
20165	982	26	always	always	RB
20165	982	27	a	a	DT
20165	982	28	right	right	JJ
20165	982	29	angle	angle	NN
20165	982	30	,	,	,
20165	982	31	and	and	CC
20165	982	32	the	the	DT
20165	982	33	two	two	CD
20165	982	34	remaining	remain	VBG
20165	982	35	angles	angle	NNS
20165	982	36	on	on	IN
20165	982	37	that	that	DT
20165	982	38	side	side	NN
20165	982	39	of	of	IN
20165	982	40	the	the	DT
20165	982	41	line	line	NN
20165	982	42	,	,	,
20165	982	43	called	call	VBD
20165	982	44	the	the	DT
20165	982	45	directing	direct	VBG
20165	982	46	line	line	NN
20165	982	47	,	,	,
20165	982	48	are	be	VBP
20165	982	49	together	together	RB
20165	982	50	equal	equal	JJ
20165	982	51	to	to	IN
20165	982	52	a	a	DT
20165	982	53	right	right	JJ
20165	982	54	angle	angle	NN
20165	982	55	or	or	CC
20165	982	56	90	90	CD
20165	982	57	°	°	NNS
20165	982	58	.	.	.
20165	983	1	So	so	IN
20165	983	2	that	that	IN
20165	983	3	in	in	IN
20165	983	4	fixing	fix	VBG
20165	983	5	upon	upon	IN
20165	983	6	the	the	DT
20165	983	7	angle	angle	NN
20165	983	8	at	at	IN
20165	983	9	which	which	WDT
20165	983	10	the	the	DT
20165	983	11	square	square	JJ
20165	983	12	or	or	CC
20165	983	13	other	other	JJ
20165	983	14	figure	figure	NN
20165	983	15	is	be	VBZ
20165	983	16	to	to	TO
20165	983	17	be	be	VB
20165	983	18	placed	place	VBN
20165	983	19	,	,	,
20165	983	20	we	-PRON-	PRP
20165	983	21	say	say	VBP
20165	983	22	'	'	``
20165	983	23	let	let	VB
20165	983	24	it	-PRON-	PRP
20165	983	25	be	be	VB
20165	983	26	60	60	CD
20165	983	27	°	°	NNS
20165	983	28	and	and	CC
20165	983	29	30	30	CD
20165	983	30	°	°	NNS
20165	983	31	,	,	,
20165	983	32	or	or	CC
20165	983	33	70	70	CD
20165	983	34	°	°	NNS
20165	983	35	and	and	CC
20165	983	36	20	20	CD
20165	983	37	°	°	NNS
20165	983	38	'	'	''
20165	983	39	,	,	,
20165	983	40	&	&	CC
20165	983	41	c.	c.	NNP
20165	983	42	Having	Having	NNP
20165	983	43	decided	decide	VBN
20165	983	44	upon	upon	IN
20165	983	45	the	the	DT
20165	983	46	station	station	NN
20165	983	47	-	-	HYPH
20165	983	48	point	point	NN
20165	983	49	and	and	CC
20165	983	50	the	the	DT
20165	983	51	angle	angle	NN
20165	983	52	at	at	IN
20165	983	53	which	which	WDT
20165	983	54	the	the	DT
20165	983	55	square	square	NN
20165	983	56	is	be	VBZ
20165	983	57	to	to	TO
20165	983	58	be	be	VB
20165	983	59	placed	place	VBN
20165	983	60	,	,	,
20165	983	61	draw	draw	VB
20165	983	62	TV1	TV1	NNP
20165	983	63	and	and	CC
20165	983	64	TV2	TV2	NNP
20165	983	65	,	,	,
20165	983	66	till	till	IN
20165	983	67	they	-PRON-	PRP
20165	983	68	cut	cut	VBD
20165	983	69	the	the	DT
20165	983	70	horizon	horizon	NN
20165	983	71	at	at	IN
20165	983	72	V1	V1	NNP
20165	983	73	and	and	CC
20165	983	74	V2	v2	NN
20165	983	75	.	.	.
20165	984	1	These	these	DT
20165	984	2	are	be	VBP
20165	984	3	the	the	DT
20165	984	4	two	two	CD
20165	984	5	vanishing	vanish	VBG
20165	984	6	points	point	NNS
20165	984	7	to	to	TO
20165	984	8	which	which	WDT
20165	984	9	the	the	DT
20165	984	10	sides	side	NNS
20165	984	11	of	of	IN
20165	984	12	the	the	DT
20165	984	13	figure	figure	NN
20165	984	14	are	be	VBP
20165	984	15	respectively	respectively	RB
20165	984	16	drawn	draw	VBN
20165	984	17	.	.	.
20165	985	1	But	but	CC
20165	985	2	we	-PRON-	PRP
20165	985	3	still	still	RB
20165	985	4	want	want	VBP
20165	985	5	the	the	DT
20165	985	6	measuring	measure	VBG
20165	985	7	points	point	NNS
20165	985	8	for	for	IN
20165	985	9	these	these	DT
20165	985	10	two	two	CD
20165	985	11	vanishing	vanish	VBG
20165	985	12	lines	line	NNS
20165	985	13	.	.	.
20165	986	1	We	-PRON-	PRP
20165	986	2	therefore	therefore	RB
20165	986	3	take	take	VBP
20165	986	4	first	first	RB
20165	986	5	,	,	,
20165	986	6	V1	V1	NNP
20165	986	7	as	as	IN
20165	986	8	centre	centre	NN
20165	986	9	and	and	CC
20165	986	10	V1	V1	NNP
20165	986	11	T	T	NNP
20165	986	12	as	as	IN
20165	986	13	radius	radius	NN
20165	986	14	,	,	,
20165	986	15	and	and	CC
20165	986	16	describe	describe	VB
20165	986	17	arc	arc	NN
20165	986	18	of	of	IN
20165	986	19	circle	circle	NN
20165	986	20	till	till	IN
20165	986	21	it	-PRON-	PRP
20165	986	22	cuts	cut	VBZ
20165	986	23	the	the	DT
20165	986	24	horizon	horizon	NN
20165	986	25	in	in	IN
20165	986	26	M1	M1	NNP
20165	986	27	,	,	,
20165	986	28	which	which	WDT
20165	986	29	is	be	VBZ
20165	986	30	the	the	DT
20165	986	31	measuring	measuring	NN
20165	986	32	point	point	NN
20165	986	33	for	for	IN
20165	986	34	all	all	DT
20165	986	35	lines	line	NNS
20165	986	36	drawn	draw	VBN
20165	986	37	to	to	IN
20165	986	38	V1	V1	NNP
20165	986	39	.	.	.
20165	987	1	Then	then	RB
20165	987	2	with	with	IN
20165	987	3	radius	radius	NN
20165	987	4	V2	v2	NN
20165	987	5	T	T	NNP
20165	987	6	describe	describe	VBP
20165	987	7	arc	arc	NN
20165	987	8	from	from	IN
20165	987	9	centre	centre	NN
20165	987	10	V2	v2	NN
20165	987	11	till	till	IN
20165	987	12	it	-PRON-	PRP
20165	987	13	cuts	cut	VBZ
20165	987	14	the	the	DT
20165	987	15	horizon	horizon	NN
20165	987	16	in	in	IN
20165	987	17	M2	M2	NNP
20165	987	18	,	,	,
20165	987	19	which	which	WDT
20165	987	20	is	be	VBZ
20165	987	21	the	the	DT
20165	987	22	measuring	measuring	NN
20165	987	23	point	point	NN
20165	987	24	for	for	IN
20165	987	25	all	all	DT
20165	987	26	vanishing	vanish	VBG
20165	987	27	lines	line	NNS
20165	987	28	drawn	draw	VBN
20165	987	29	to	to	IN
20165	987	30	V2	v2	NN
20165	987	31	.	.	.
20165	988	1	We	-PRON-	PRP
20165	988	2	have	have	VBP
20165	988	3	now	now	RB
20165	988	4	set	set	VBN
20165	988	5	out	out	RP
20165	988	6	our	-PRON-	PRP$
20165	988	7	points	point	NNS
20165	988	8	.	.	.
20165	989	1	Let	let	VB
20165	989	2	us	-PRON-	PRP
20165	989	3	proceed	proceed	VB
20165	989	4	to	to	TO
20165	989	5	draw	draw	VB
20165	989	6	the	the	DT
20165	989	7	square	square	NN
20165	989	8	_	_	NNP
20165	989	9	Abcd	Abcd	NNP
20165	989	10	_	_	NNP
20165	989	11	.	.	.
20165	990	1	From	from	IN
20165	990	2	_	_	NNP
20165	990	3	A	A	NNP
20165	990	4	_	_	NNP
20165	990	5	,	,	,
20165	990	6	the	the	DT
20165	990	7	nearest	near	JJS
20165	990	8	angle	angle	NN
20165	990	9	(	(	-LRB-
20165	990	10	in	in	IN
20165	990	11	this	this	DT
20165	990	12	instance	instance	NN
20165	990	13	touching	touch	VBG
20165	990	14	the	the	DT
20165	990	15	base	base	NN
20165	990	16	line	line	NN
20165	990	17	)	)	-RRB-
20165	990	18	,	,	,
20165	990	19	measure	measure	VB
20165	990	20	on	on	IN
20165	990	21	each	each	DT
20165	990	22	side	side	NN
20165	990	23	of	of	IN
20165	990	24	it	-PRON-	PRP
20165	990	25	the	the	DT
20165	990	26	equal	equal	JJ
20165	990	27	lengths	length	NNS
20165	990	28	_	_	NNP
20165	990	29	AB	AB	NNP
20165	990	30	_	_	NNP
20165	990	31	and	and	CC
20165	990	32	_	_	NNP
20165	990	33	AE	AE	NNP
20165	990	34	_	_	NNP
20165	990	35	,	,	,
20165	990	36	which	which	WDT
20165	990	37	represent	represent	VBP
20165	990	38	the	the	DT
20165	990	39	width	width	NN
20165	990	40	or	or	CC
20165	990	41	side	side	NN
20165	990	42	of	of	IN
20165	990	43	the	the	DT
20165	990	44	square	square	NN
20165	990	45	.	.	.
20165	991	1	Draw	draw	VB
20165	991	2	EM2	EM2	NNP
20165	991	3	and	and	CC
20165	991	4	BM1	bm1	NN
20165	991	5	from	from	IN
20165	991	6	the	the	DT
20165	991	7	two	two	CD
20165	991	8	measuring	measure	VBG
20165	991	9	points	point	NNS
20165	991	10	,	,	,
20165	991	11	which	which	WDT
20165	991	12	give	give	VBP
20165	991	13	us	-PRON-	PRP
20165	991	14	,	,	,
20165	991	15	by	by	IN
20165	991	16	their	-PRON-	PRP$
20165	991	17	intersections	intersection	NNS
20165	991	18	with	with	IN
20165	991	19	the	the	DT
20165	991	20	vanishing	vanish	VBG
20165	991	21	lines	line	NNS
20165	991	22	AV1	AV1	NNP
20165	991	23	and	and	CC
20165	991	24	AV2	AV2	NNP
20165	991	25	,	,	,
20165	991	26	the	the	DT
20165	991	27	perspective	perspective	JJ
20165	991	28	lengths	length	NNS
20165	991	29	of	of	IN
20165	991	30	the	the	DT
20165	991	31	sides	side	NNS
20165	991	32	of	of	IN
20165	991	33	the	the	DT
20165	991	34	square	square	NN
20165	991	35	_	_	NNP
20165	991	36	Abcd	Abcd	NNP
20165	991	37	_	_	NNP
20165	991	38	.	.	.
20165	992	1	Join	join	VB
20165	992	2	_	_	NNP
20165	992	3	b	b	NNP
20165	992	4	_	_	NNP
20165	992	5	and	and	CC
20165	992	6	V1	V1	NNP
20165	992	7	and	and	CC
20165	992	8	dV2	dV2	NNP
20165	992	9	,	,	,
20165	992	10	which	which	WDT
20165	992	11	intersect	intersect	VBP
20165	992	12	each	each	DT
20165	992	13	other	other	JJ
20165	992	14	at	at	IN
20165	992	15	_	_	NNP
20165	992	16	C	C	NNP
20165	992	17	_	_	NNP
20165	992	18	,	,	,
20165	992	19	then	then	RB
20165	992	20	_	_	NNP
20165	992	21	Adcb	Adcb	NNP
20165	992	22	_	_	NNP
20165	992	23	is	be	VBZ
20165	992	24	the	the	DT
20165	992	25	square	square	NN
20165	992	26	required	require	VBN
20165	992	27	.	.	.
20165	993	1	This	this	DT
20165	993	2	method	method	NN
20165	993	3	,	,	,
20165	993	4	which	which	WDT
20165	993	5	is	be	VBZ
20165	993	6	easy	easy	JJ
20165	993	7	when	when	WRB
20165	993	8	you	-PRON-	PRP
20165	993	9	know	know	VBP
20165	993	10	it	-PRON-	PRP
20165	993	11	,	,	,
20165	993	12	has	have	VBZ
20165	993	13	certain	certain	JJ
20165	993	14	drawbacks	drawback	NNS
20165	993	15	,	,	,
20165	993	16	the	the	DT
20165	993	17	chief	chief	JJ
20165	993	18	one	one	NN
20165	993	19	being	be	VBG
20165	993	20	that	that	IN
20165	993	21	if	if	IN
20165	993	22	we	-PRON-	PRP
20165	993	23	require	require	VBP
20165	993	24	a	a	DT
20165	993	25	long	long	JJ
20165	993	26	-	-	HYPH
20165	993	27	distance	distance	NN
20165	993	28	point	point	NN
20165	993	29	,	,	,
20165	993	30	and	and	CC
20165	993	31	a	a	DT
20165	993	32	small	small	JJ
20165	993	33	angle	angle	NN
20165	993	34	,	,	,
20165	993	35	such	such	JJ
20165	993	36	as	as	IN
20165	993	37	10	10	CD
20165	993	38	°	°	NNS
20165	993	39	on	on	IN
20165	993	40	one	one	CD
20165	993	41	side	side	NN
20165	993	42	,	,	,
20165	993	43	and	and	CC
20165	993	44	80	80	CD
20165	993	45	°	°	NNS
20165	993	46	on	on	IN
20165	993	47	the	the	DT
20165	993	48	other	other	JJ
20165	993	49	,	,	,
20165	993	50	then	then	RB
20165	993	51	the	the	DT
20165	993	52	size	size	NN
20165	993	53	of	of	IN
20165	993	54	the	the	DT
20165	993	55	diagram	diagram	NN
20165	993	56	becomes	become	VBZ
20165	993	57	so	so	RB
20165	993	58	large	large	JJ
20165	993	59	that	that	IN
20165	993	60	it	-PRON-	PRP
20165	993	61	has	have	VBZ
20165	993	62	to	to	TO
20165	993	63	be	be	VB
20165	993	64	carried	carry	VBN
20165	993	65	out	out	RP
20165	993	66	on	on	IN
20165	993	67	the	the	DT
20165	993	68	floor	floor	NN
20165	993	69	of	of	IN
20165	993	70	the	the	DT
20165	993	71	studio	studio	NN
20165	993	72	with	with	IN
20165	993	73	long	long	JJ
20165	993	74	strings	string	NNS
20165	993	75	,	,	,
20165	993	76	&	&	CC
20165	993	77	c.	c.	NNP
20165	993	78	,	,	,
20165	993	79	which	which	WDT
20165	993	80	is	be	VBZ
20165	993	81	a	a	DT
20165	993	82	very	very	RB
20165	993	83	clumsy	clumsy	JJ
20165	993	84	and	and	CC
20165	993	85	unscientific	unscientific	JJ
20165	993	86	way	way	NN
20165	993	87	of	of	IN
20165	993	88	setting	set	VBG
20165	993	89	to	to	IN
20165	993	90	work	work	VB
20165	993	91	.	.	.
20165	994	1	The	the	DT
20165	994	2	architects	architect	NNS
20165	994	3	in	in	IN
20165	994	4	such	such	JJ
20165	994	5	cases	case	NNS
20165	994	6	make	make	VBP
20165	994	7	use	use	NN
20165	994	8	of	of	IN
20165	994	9	the	the	DT
20165	994	10	centrolinead	centrolinead	NN
20165	994	11	,	,	,
20165	994	12	a	a	DT
20165	994	13	clever	clever	JJ
20165	994	14	mechanical	mechanical	JJ
20165	994	15	contrivance	contrivance	NN
20165	994	16	for	for	IN
20165	994	17	getting	get	VBG
20165	994	18	over	over	IN
20165	994	19	the	the	DT
20165	994	20	difficulty	difficulty	NN
20165	994	21	of	of	IN
20165	994	22	the	the	DT
20165	994	23	far	far	RB
20165	994	24	-	-	HYPH
20165	994	25	off	off	RP
20165	994	26	vanishing	vanishing	NN
20165	994	27	point	point	NN
20165	994	28	,	,	,
20165	994	29	but	but	CC
20165	994	30	by	by	IN
20165	994	31	the	the	DT
20165	994	32	method	method	NN
20165	994	33	I	-PRON-	PRP
20165	994	34	have	have	VBP
20165	994	35	shown	show	VBN
20165	994	36	you	-PRON-	PRP
20165	994	37	,	,	,
20165	994	38	and	and	CC
20165	994	39	shall	shall	MD
20165	994	40	further	further	RB
20165	994	41	illustrate	illustrate	VB
20165	994	42	,	,	,
20165	994	43	you	-PRON-	PRP
20165	994	44	will	will	MD
20165	994	45	find	find	VB
20165	994	46	that	that	IN
20165	994	47	you	-PRON-	PRP
20165	994	48	can	can	MD
20165	994	49	dispense	dispense	VB
20165	994	50	with	with	IN
20165	994	51	all	all	PDT
20165	994	52	this	this	DT
20165	994	53	trouble	trouble	NN
20165	994	54	,	,	,
20165	994	55	and	and	CC
20165	994	56	do	do	VB
20165	994	57	all	all	DT
20165	994	58	your	-PRON-	PRP$
20165	994	59	perspective	perspective	NN
20165	994	60	either	either	CC
20165	994	61	inside	inside	IN
20165	994	62	the	the	DT
20165	994	63	picture	picture	NN
20165	994	64	or	or	CC
20165	994	65	on	on	IN
20165	994	66	a	a	DT
20165	994	67	very	very	RB
20165	994	68	small	small	JJ
20165	994	69	margin	margin	NN
20165	994	70	outside	outside	IN
20165	994	71	it	-PRON-	PRP
20165	994	72	.	.	.
20165	995	1	Perhaps	perhaps	RB
20165	995	2	another	another	DT
20165	995	3	drawback	drawback	NN
20165	995	4	to	to	IN
20165	995	5	this	this	DT
20165	995	6	method	method	NN
20165	995	7	is	be	VBZ
20165	995	8	that	that	IN
20165	995	9	it	-PRON-	PRP
20165	995	10	is	be	VBZ
20165	995	11	not	not	RB
20165	995	12	self	self	NN
20165	995	13	-	-	HYPH
20165	995	14	evident	evident	JJ
20165	995	15	,	,	,
20165	995	16	as	as	IN
20165	995	17	in	in	IN
20165	995	18	the	the	DT
20165	995	19	former	former	JJ
20165	995	20	one	one	NN
20165	995	21	,	,	,
20165	995	22	and	and	CC
20165	995	23	being	be	VBG
20165	995	24	rather	rather	RB
20165	995	25	difficult	difficult	JJ
20165	995	26	to	to	TO
20165	995	27	explain	explain	VB
20165	995	28	,	,	,
20165	995	29	the	the	DT
20165	995	30	student	student	NN
20165	995	31	is	be	VBZ
20165	995	32	apt	apt	JJ
20165	995	33	to	to	TO
20165	995	34	take	take	VB
20165	995	35	it	-PRON-	PRP
20165	995	36	on	on	IN
20165	995	37	trust	trust	NN
20165	995	38	,	,	,
20165	995	39	and	and	CC
20165	995	40	not	not	RB
20165	995	41	to	to	TO
20165	995	42	trouble	trouble	VB
20165	995	43	about	about	IN
20165	995	44	the	the	DT
20165	995	45	reasons	reason	NNS
20165	995	46	for	for	IN
20165	995	47	its	-PRON-	PRP$
20165	995	48	construction	construction	NN
20165	995	49	:	:	:
20165	995	50	but	but	CC
20165	995	51	to	to	TO
20165	995	52	show	show	VB
20165	995	53	that	that	IN
20165	995	54	it	-PRON-	PRP
20165	995	55	is	be	VBZ
20165	995	56	equally	equally	RB
20165	995	57	correct	correct	JJ
20165	995	58	,	,	,
20165	995	59	I	-PRON-	PRP
20165	995	60	will	will	MD
20165	995	61	draw	draw	VB
20165	995	62	the	the	DT
20165	995	63	two	two	CD
20165	995	64	methods	method	NNS
20165	995	65	in	in	IN
20165	995	66	one	one	CD
20165	995	67	figure	figure	NN
20165	995	68	.	.	.
20165	996	1	LXIII	LXIII	NNP
20165	996	2	TWO	two	CD
20165	996	3	METHODS	method	NNS
20165	996	4	OF	of	IN
20165	996	5	ANGULAR	angular	NN
20165	996	6	PERSPECTIVE	perspective	NN
20165	996	7	IN	in	IN
20165	996	8	ONE	one	CD
20165	996	9	FIGURE	figure	NN
20165	996	10	[	[	-LRB-
20165	996	11	Illustration	illustration	NN
20165	996	12	:	:	:
20165	996	13	Fig	Fig	NNP
20165	996	14	.	.	.
20165	997	1	125	125	CD
20165	997	2	.	.	.
20165	997	3	]	]	-RRB-
20165	998	1	It	-PRON-	PRP
20165	998	2	matters	matter	VBZ
20165	998	3	little	little	JJ
20165	998	4	whether	whether	IN
20165	998	5	the	the	DT
20165	998	6	station	station	NN
20165	998	7	-	-	HYPH
20165	998	8	point	point	NN
20165	998	9	is	be	VBZ
20165	998	10	placed	place	VBN
20165	998	11	above	above	IN
20165	998	12	or	or	CC
20165	998	13	below	below	IN
20165	998	14	the	the	DT
20165	998	15	horizon	horizon	NN
20165	998	16	,	,	,
20165	998	17	as	as	IN
20165	998	18	the	the	DT
20165	998	19	result	result	NN
20165	998	20	is	be	VBZ
20165	998	21	the	the	DT
20165	998	22	same	same	JJ
20165	998	23	.	.	.
20165	999	1	In	in	IN
20165	999	2	Fig	Fig	NNP
20165	999	3	.	.	.
20165	1000	1	125	125	CD
20165	1000	2	it	-PRON-	PRP
20165	1000	3	is	be	VBZ
20165	1000	4	placed	place	VBN
20165	1000	5	above	above	RB
20165	1000	6	,	,	,
20165	1000	7	as	as	IN
20165	1000	8	the	the	DT
20165	1000	9	lower	low	JJR
20165	1000	10	part	part	NN
20165	1000	11	of	of	IN
20165	1000	12	the	the	DT
20165	1000	13	figure	figure	NN
20165	1000	14	is	be	VBZ
20165	1000	15	occupied	occupy	VBN
20165	1000	16	with	with	IN
20165	1000	17	the	the	DT
20165	1000	18	geometrical	geometrical	JJ
20165	1000	19	plan	plan	NN
20165	1000	20	of	of	IN
20165	1000	21	the	the	DT
20165	1000	22	other	other	JJ
20165	1000	23	method	method	NN
20165	1000	24	.	.	.
20165	1001	1	In	in	IN
20165	1001	2	each	each	DT
20165	1001	3	case	case	NN
20165	1001	4	we	-PRON-	PRP
20165	1001	5	make	make	VBP
20165	1001	6	the	the	DT
20165	1001	7	square	square	JJ
20165	1001	8	_	_	NNP
20165	1001	9	K	K	NNP
20165	1001	10	_	_	NNP
20165	1001	11	the	the	DT
20165	1001	12	same	same	JJ
20165	1001	13	size	size	NN
20165	1001	14	and	and	CC
20165	1001	15	at	at	IN
20165	1001	16	the	the	DT
20165	1001	17	same	same	JJ
20165	1001	18	angle	angle	NN
20165	1001	19	,	,	,
20165	1001	20	its	-PRON-	PRP$
20165	1001	21	near	near	JJ
20165	1001	22	corner	corner	NN
20165	1001	23	being	be	VBG
20165	1001	24	at	at	IN
20165	1001	25	_	_	NNP
20165	1001	26	A	A	NNP
20165	1001	27	_	_	NNP
20165	1001	28	.	.	.
20165	1002	1	It	-PRON-	PRP
20165	1002	2	must	must	MD
20165	1002	3	be	be	VB
20165	1002	4	seen	see	VBN
20165	1002	5	that	that	IN
20165	1002	6	by	by	IN
20165	1002	7	whichever	whichever	WDT
20165	1002	8	method	method	NN
20165	1002	9	we	-PRON-	PRP
20165	1002	10	work	work	VBP
20165	1002	11	out	out	RP
20165	1002	12	this	this	DT
20165	1002	13	perspective	perspective	NN
20165	1002	14	,	,	,
20165	1002	15	the	the	DT
20165	1002	16	result	result	NN
20165	1002	17	is	be	VBZ
20165	1002	18	the	the	DT
20165	1002	19	same	same	JJ
20165	1002	20	,	,	,
20165	1002	21	so	so	IN
20165	1002	22	that	that	IN
20165	1002	23	both	both	DT
20165	1002	24	are	be	VBP
20165	1002	25	correct	correct	JJ
20165	1002	26	:	:	:
20165	1002	27	the	the	DT
20165	1002	28	great	great	JJ
20165	1002	29	advantage	advantage	NN
20165	1002	30	of	of	IN
20165	1002	31	the	the	DT
20165	1002	32	first	first	JJ
20165	1002	33	or	or	CC
20165	1002	34	geometrical	geometrical	JJ
20165	1002	35	system	system	NN
20165	1002	36	being	being	NN
20165	1002	37	,	,	,
20165	1002	38	that	that	IN
20165	1002	39	we	-PRON-	PRP
20165	1002	40	can	can	MD
20165	1002	41	place	place	VB
20165	1002	42	the	the	DT
20165	1002	43	square	square	NN
20165	1002	44	at	at	IN
20165	1002	45	any	any	DT
20165	1002	46	angle	angle	NN
20165	1002	47	,	,	,
20165	1002	48	as	as	IN
20165	1002	49	it	-PRON-	PRP
20165	1002	50	is	be	VBZ
20165	1002	51	drawn	draw	VBN
20165	1002	52	without	without	IN
20165	1002	53	reference	reference	NN
20165	1002	54	to	to	IN
20165	1002	55	vanishing	vanish	VBG
20165	1002	56	points	point	NNS
20165	1002	57	.	.	.
20165	1003	1	We	-PRON-	PRP
20165	1003	2	will	will	MD
20165	1003	3	,	,	,
20165	1003	4	however	however	RB
20165	1003	5	,	,	,
20165	1003	6	work	work	VB
20165	1003	7	out	out	RP
20165	1003	8	a	a	DT
20165	1003	9	few	few	JJ
20165	1003	10	figures	figure	NNS
20165	1003	11	by	by	IN
20165	1003	12	the	the	DT
20165	1003	13	second	second	JJ
20165	1003	14	method	method	NN
20165	1003	15	.	.	.
20165	1004	1	LXIV	lxiv	NN
20165	1004	2	TO	to	TO
20165	1004	3	DRAW	draw	VB
20165	1004	4	A	a	DT
20165	1004	5	CUBE	cube	NN
20165	1004	6	,	,	,
20165	1004	7	THE	the	DT
20165	1004	8	POINTS	point	NNS
20165	1004	9	BEING	be	VBG
20165	1004	10	GIVEN	give	VBN
20165	1004	11	As	as	IN
20165	1004	12	in	in	IN
20165	1004	13	a	a	DT
20165	1004	14	previous	previous	JJ
20165	1004	15	figure	figure	NN
20165	1004	16	(	(	-LRB-
20165	1004	17	124	124	CD
20165	1004	18	)	)	-RRB-
20165	1004	19	we	-PRON-	PRP
20165	1004	20	found	find	VBD
20165	1004	21	the	the	DT
20165	1004	22	various	various	JJ
20165	1004	23	working	working	NN
20165	1004	24	points	point	NNS
20165	1004	25	of	of	IN
20165	1004	26	angular	angular	JJ
20165	1004	27	perspective	perspective	NN
20165	1004	28	,	,	,
20165	1004	29	we	-PRON-	PRP
20165	1004	30	need	need	VBP
20165	1004	31	now	now	RB
20165	1004	32	merely	merely	RB
20165	1004	33	transfer	transfer	VB
20165	1004	34	them	-PRON-	PRP
20165	1004	35	to	to	IN
20165	1004	36	the	the	DT
20165	1004	37	horizontal	horizontal	JJ
20165	1004	38	line	line	NN
20165	1004	39	in	in	IN
20165	1004	40	this	this	DT
20165	1004	41	figure	figure	NN
20165	1004	42	,	,	,
20165	1004	43	as	as	IN
20165	1004	44	in	in	IN
20165	1004	45	this	this	DT
20165	1004	46	case	case	NN
20165	1004	47	they	-PRON-	PRP
20165	1004	48	will	will	MD
20165	1004	49	answer	answer	VB
20165	1004	50	our	-PRON-	PRP$
20165	1004	51	purpose	purpose	NN
20165	1004	52	perfectly	perfectly	RB
20165	1004	53	well	well	RB
20165	1004	54	.	.	.
20165	1005	1	[	[	-LRB-
20165	1005	2	Illustration	illustration	NN
20165	1005	3	:	:	:
20165	1005	4	Fig	Fig	NNP
20165	1005	5	.	.	.
20165	1006	1	126	126	CD
20165	1006	2	.	.	.
20165	1006	3	]	]	-RRB-
20165	1007	1	Let	let	VB
20165	1007	2	_	_	NNP
20165	1007	3	A	a	DT
20165	1007	4	_	_	NNP
20165	1007	5	be	be	VB
20165	1007	6	the	the	DT
20165	1007	7	nearest	near	JJS
20165	1007	8	angle	angle	NN
20165	1007	9	touching	touch	VBG
20165	1007	10	the	the	DT
20165	1007	11	base	base	NN
20165	1007	12	.	.	.
20165	1008	1	Draw	draw	VB
20165	1008	2	AV1	AV1	NNP
20165	1008	3	,	,	,
20165	1008	4	AV2	AV2	NNP
20165	1008	5	.	.	.
20165	1009	1	From	from	IN
20165	1009	2	_	_	NNP
20165	1009	3	A	A	NNP
20165	1009	4	_	_	NNP
20165	1009	5	,	,	,
20165	1009	6	raise	raise	VB
20165	1009	7	vertical	vertical	JJ
20165	1009	8	_	_	NNP
20165	1009	9	Ae	Ae	NNP
20165	1009	10	_	_	NNP
20165	1009	11	,	,	,
20165	1009	12	the	the	DT
20165	1009	13	height	height	NN
20165	1009	14	of	of	IN
20165	1009	15	the	the	DT
20165	1009	16	cube	cube	NN
20165	1009	17	.	.	.
20165	1010	1	From	from	IN
20165	1010	2	_	_	NNP
20165	1010	3	e	e	NNP
20165	1010	4	_	_	NNP
20165	1010	5	draw	draw	NN
20165	1010	6	eV1	ev1	NN
20165	1010	7	,	,	,
20165	1010	8	eV2	eV2	NNS
20165	1010	9	,	,	,
20165	1010	10	from	from	IN
20165	1010	11	the	the	DT
20165	1010	12	other	other	JJ
20165	1010	13	angles	angle	NNS
20165	1010	14	raise	raise	VBP
20165	1010	15	verticals	vertical	NNS
20165	1010	16	_	_	NNP
20165	1010	17	bf	bf	NN
20165	1010	18	_	_	NNP
20165	1010	19	,	,	,
20165	1010	20	_	_	NNP
20165	1010	21	dh	dh	NNP
20165	1010	22	_	_	NNP
20165	1010	23	,	,	,
20165	1010	24	_	_	NNP
20165	1010	25	cg	cg	IN
20165	1010	26	_	_	NNP
20165	1010	27	,	,	,
20165	1010	28	to	to	TO
20165	1010	29	meet	meet	VB
20165	1010	30	eV1	ev1	NN
20165	1010	31	,	,	,
20165	1010	32	eV2	eV2	NNP
20165	1010	33	,	,	,
20165	1010	34	fV2	fV2	NNP
20165	1010	35	,	,	,
20165	1010	36	&	&	CC
20165	1010	37	c.	c.	NNP
20165	1010	38	,	,	,
20165	1010	39	and	and	CC
20165	1010	40	the	the	DT
20165	1010	41	cube	cube	NN
20165	1010	42	is	be	VBZ
20165	1010	43	complete	complete	JJ
20165	1010	44	.	.	.
20165	1011	1	LXV	LXV	NNP
20165	1011	2	AMPLIFICATION	amplification	NN
20165	1011	3	OF	of	IN
20165	1011	4	THE	the	DT
20165	1011	5	CUBE	CUBE	NNP
20165	1011	6	APPLIED	APPLIED	NNP
20165	1011	7	TO	to	IN
20165	1011	8	DRAWING	draw	VBG
20165	1011	9	A	a	DT
20165	1011	10	COTTAGE	cottage	NN
20165	1011	11	[	[	-LRB-
20165	1011	12	Illustration	illustration	NN
20165	1011	13	:	:	:
20165	1011	14	Fig	Fig	NNP
20165	1011	15	.	.	.
20165	1012	1	127	127	CD
20165	1012	2	.	.	.
20165	1012	3	]	]	-RRB-
20165	1013	1	Note	note	VB
20165	1013	2	that	that	IN
20165	1013	3	we	-PRON-	PRP
20165	1013	4	have	have	VBP
20165	1013	5	started	start	VBN
20165	1013	6	this	this	DT
20165	1013	7	figure	figure	NN
20165	1013	8	with	with	IN
20165	1013	9	the	the	DT
20165	1013	10	cube	cube	NN
20165	1013	11	_	_	NNP
20165	1013	12	Adhefb	Adhefb	NNP
20165	1013	13	_	_	NNP
20165	1013	14	.	.	.
20165	1014	1	We	-PRON-	PRP
20165	1014	2	have	have	VBP
20165	1014	3	taken	take	VBN
20165	1014	4	three	three	CD
20165	1014	5	times	time	NNS
20165	1014	6	_	_	NNP
20165	1014	7	AB	AB	NNP
20165	1014	8	_	_	NNP
20165	1014	9	,	,	,
20165	1014	10	its	-PRON-	PRP$
20165	1014	11	width	width	NN
20165	1014	12	,	,	,
20165	1014	13	for	for	IN
20165	1014	14	the	the	DT
20165	1014	15	front	front	NN
20165	1014	16	of	of	IN
20165	1014	17	our	-PRON-	PRP$
20165	1014	18	house	house	NN
20165	1014	19	,	,	,
20165	1014	20	and	and	CC
20165	1014	21	twice	twice	RB
20165	1014	22	_	_	NNP
20165	1014	23	AB	AB	NNP
20165	1014	24	_	_	NNP
20165	1014	25	for	for	IN
20165	1014	26	the	the	DT
20165	1014	27	side	side	NN
20165	1014	28	,	,	,
20165	1014	29	and	and	CC
20165	1014	30	have	have	VBP
20165	1014	31	made	make	VBN
20165	1014	32	it	-PRON-	PRP
20165	1014	33	two	two	CD
20165	1014	34	cubes	cube	NNS
20165	1014	35	high	high	RB
20165	1014	36	,	,	,
20165	1014	37	not	not	RB
20165	1014	38	counting	count	VBG
20165	1014	39	the	the	DT
20165	1014	40	roof	roof	NN
20165	1014	41	.	.	.
20165	1015	1	Note	note	VB
20165	1015	2	also	also	RB
20165	1015	3	the	the	DT
20165	1015	4	use	use	NN
20165	1015	5	of	of	IN
20165	1015	6	the	the	DT
20165	1015	7	measuring	measuring	NN
20165	1015	8	-	-	HYPH
20165	1015	9	points	point	NNS
20165	1015	10	in	in	IN
20165	1015	11	connexion	connexion	NN
20165	1015	12	with	with	IN
20165	1015	13	the	the	DT
20165	1015	14	measurements	measurement	NNS
20165	1015	15	on	on	IN
20165	1015	16	the	the	DT
20165	1015	17	base	base	NN
20165	1015	18	line	line	NN
20165	1015	19	,	,	,
20165	1015	20	and	and	CC
20165	1015	21	the	the	DT
20165	1015	22	upper	upper	JJ
20165	1015	23	measuring	measuring	NN
20165	1015	24	line	line	NN
20165	1015	25	_	_	NNP
20165	1015	26	TPK	TPK	NNP
20165	1015	27	_	_	NNP
20165	1015	28	.	.	.
20165	1016	1	LXVI	lxvi	VB
20165	1016	2	HOW	how	WRB
20165	1016	3	TO	to	TO
20165	1016	4	DRAW	draw	VB
20165	1016	5	AN	an	DT
20165	1016	6	INTERIOR	INTERIOR	NNP
20165	1016	7	AT	at	IN
20165	1016	8	AN	an	DT
20165	1016	9	ANGLE	ANGLE	NNS
20165	1016	10	Here	here	RB
20165	1016	11	we	-PRON-	PRP
20165	1016	12	make	make	VBP
20165	1016	13	use	use	NN
20165	1016	14	of	of	IN
20165	1016	15	the	the	DT
20165	1016	16	same	same	JJ
20165	1016	17	points	point	NNS
20165	1016	18	as	as	IN
20165	1016	19	in	in	IN
20165	1016	20	a	a	DT
20165	1016	21	previous	previous	JJ
20165	1016	22	figure	figure	NN
20165	1016	23	,	,	,
20165	1016	24	with	with	IN
20165	1016	25	the	the	DT
20165	1016	26	addition	addition	NN
20165	1016	27	of	of	IN
20165	1016	28	the	the	DT
20165	1016	29	point	point	NN
20165	1016	30	_	_	NNP
20165	1016	31	G	G	NNP
20165	1016	32	_	_	NNP
20165	1016	33	,	,	,
20165	1016	34	which	which	WDT
20165	1016	35	is	be	VBZ
20165	1016	36	the	the	DT
20165	1016	37	vanishing	vanish	VBG
20165	1016	38	point	point	NN
20165	1016	39	of	of	IN
20165	1016	40	the	the	DT
20165	1016	41	diagonals	diagonal	NNS
20165	1016	42	of	of	IN
20165	1016	43	the	the	DT
20165	1016	44	squares	square	NNS
20165	1016	45	on	on	IN
20165	1016	46	the	the	DT
20165	1016	47	floor	floor	NN
20165	1016	48	.	.	.
20165	1017	1	[	[	-LRB-
20165	1017	2	Illustration	illustration	NN
20165	1017	3	:	:	:
20165	1017	4	Fig	Fig	NNP
20165	1017	5	.	.	.
20165	1018	1	128	128	CD
20165	1018	2	.	.	.
20165	1018	3	]	]	-RRB-
20165	1019	1	From	from	IN
20165	1019	2	_	_	NNP
20165	1019	3	A	A	NNP
20165	1019	4	_	_	NNP
20165	1019	5	draw	draw	NN
20165	1019	6	square	square	NN
20165	1019	7	_	_	NNP
20165	1019	8	Abcd	Abcd	NNP
20165	1019	9	_	_	NNP
20165	1019	10	,	,	,
20165	1019	11	and	and	CC
20165	1019	12	produce	produce	VB
20165	1019	13	its	-PRON-	PRP$
20165	1019	14	sides	side	NNS
20165	1019	15	in	in	IN
20165	1019	16	all	all	DT
20165	1019	17	directions	direction	NNS
20165	1019	18	;	;	:
20165	1019	19	again	again	RB
20165	1019	20	from	from	IN
20165	1019	21	_	_	NNP
20165	1019	22	A	A	NNP
20165	1019	23	_	_	NNP
20165	1019	24	,	,	,
20165	1019	25	through	through	IN
20165	1019	26	the	the	DT
20165	1019	27	opposite	opposite	JJ
20165	1019	28	angle	angle	NN
20165	1019	29	of	of	IN
20165	1019	30	the	the	DT
20165	1019	31	square	square	NN
20165	1019	32	_	_	NNP
20165	1019	33	C	C	NNP
20165	1019	34	_	_	NNP
20165	1019	35	,	,	,
20165	1019	36	draw	draw	VB
20165	1019	37	a	a	DT
20165	1019	38	diagonal	diagonal	JJ
20165	1019	39	till	till	IN
20165	1019	40	it	-PRON-	PRP
20165	1019	41	cuts	cut	VBZ
20165	1019	42	the	the	DT
20165	1019	43	horizon	horizon	NN
20165	1019	44	at	at	IN
20165	1019	45	_	_	NNP
20165	1019	46	G	G	NNP
20165	1019	47	_	_	NNP
20165	1019	48	.	.	.
20165	1020	1	From	from	IN
20165	1020	2	_	_	NNP
20165	1020	3	G	G	NNP
20165	1020	4	_	_	NNP
20165	1020	5	draw	draw	VBP
20165	1020	6	diagonals	diagonal	NNS
20165	1020	7	through	through	IN
20165	1020	8	_	_	NNP
20165	1020	9	b	b	NNP
20165	1020	10	_	_	NNP
20165	1020	11	and	and	CC
20165	1020	12	_	_	NNP
20165	1020	13	d	d	NNP
20165	1020	14	_	_	NNP
20165	1020	15	,	,	,
20165	1020	16	cutting	cut	VBG
20165	1020	17	the	the	DT
20165	1020	18	base	base	NN
20165	1020	19	at	at	IN
20165	1020	20	_	_	NNP
20165	1020	21	o	o	XX
20165	1020	22	_	_	NNP
20165	1020	23	,	,	,
20165	1020	24	_	_	NNP
20165	1020	25	o	o	XX
20165	1020	26	_	_	NNP
20165	1020	27	,	,	,
20165	1020	28	make	make	VB
20165	1020	29	spaces	space	NNS
20165	1020	30	_	_	NNP
20165	1020	31	o	o	XX
20165	1020	32	_	_	NNP
20165	1020	33	,	,	,
20165	1020	34	_	_	NNP
20165	1020	35	o	o	XX
20165	1020	36	_	_	NNP
20165	1020	37	,	,	,
20165	1020	38	equal	equal	JJ
20165	1020	39	to	to	IN
20165	1020	40	_	_	NNP
20165	1020	41	Ao	Ao	NNP
20165	1020	42	_	_	NNP
20165	1020	43	all	all	RB
20165	1020	44	along	along	IN
20165	1020	45	the	the	DT
20165	1020	46	base	base	NN
20165	1020	47	,	,	,
20165	1020	48	and	and	CC
20165	1020	49	from	from	IN
20165	1020	50	them	-PRON-	PRP
20165	1020	51	draw	draw	VBP
20165	1020	52	diagonals	diagonal	NNS
20165	1020	53	to	to	IN
20165	1020	54	_	_	NNP
20165	1020	55	G	G	NNP
20165	1020	56	_	_	NNP
20165	1020	57	;	;	:
20165	1020	58	through	through	IN
20165	1020	59	the	the	DT
20165	1020	60	points	point	NNS
20165	1020	61	where	where	WRB
20165	1020	62	these	these	DT
20165	1020	63	diagonals	diagonal	NNS
20165	1020	64	intersect	intersect	VBP
20165	1020	65	the	the	DT
20165	1020	66	vanishing	vanish	VBG
20165	1020	67	lines	line	NNS
20165	1020	68	drawn	draw	VBN
20165	1020	69	in	in	IN
20165	1020	70	the	the	DT
20165	1020	71	direction	direction	NN
20165	1020	72	of	of	IN
20165	1020	73	_	_	NNP
20165	1020	74	Ab	Ab	NNP
20165	1020	75	_	_	NNP
20165	1020	76	,	,	,
20165	1020	77	_	_	NNP
20165	1020	78	dc	dc	NNP
20165	1020	79	_	_	NNP
20165	1020	80	and	and	CC
20165	1020	81	_	_	NNP
20165	1020	82	Ad	Ad	NNP
20165	1020	83	_	_	NNP
20165	1020	84	,	,	,
20165	1020	85	_	_	NNP
20165	1020	86	bc	bc	NNP
20165	1020	87	_	_	NNP
20165	1020	88	,	,	,
20165	1020	89	draw	draw	VB
20165	1020	90	lines	line	NNS
20165	1020	91	to	to	IN
20165	1020	92	the	the	DT
20165	1020	93	other	other	JJ
20165	1020	94	vanishing	vanishing	NN
20165	1020	95	point	point	NN
20165	1020	96	V1	V1	NNP
20165	1020	97	,	,	,
20165	1020	98	thus	thus	RB
20165	1020	99	completing	complete	VBG
20165	1020	100	the	the	DT
20165	1020	101	squares	square	NNS
20165	1020	102	,	,	,
20165	1020	103	and	and	CC
20165	1020	104	so	so	RB
20165	1020	105	cover	cover	VB
20165	1020	106	the	the	DT
20165	1020	107	floor	floor	NN
20165	1020	108	with	with	IN
20165	1020	109	them	-PRON-	PRP
20165	1020	110	;	;	:
20165	1020	111	they	-PRON-	PRP
20165	1020	112	will	will	MD
20165	1020	113	then	then	RB
20165	1020	114	serve	serve	VB
20165	1020	115	to	to	TO
20165	1020	116	measure	measure	VB
20165	1020	117	width	width	NN
20165	1020	118	of	of	IN
20165	1020	119	door	door	NN
20165	1020	120	,	,	,
20165	1020	121	windows	windows	NNP
20165	1020	122	,	,	,
20165	1020	123	&	&	CC
20165	1020	124	c.	c.	NNP
20165	1020	125	Of	of	RB
20165	1020	126	course	course	RB
20165	1020	127	horizontal	horizontal	JJ
20165	1020	128	lines	line	NNS
20165	1020	129	on	on	IN
20165	1020	130	wall	wall	NNP
20165	1020	131	1	1	CD
20165	1020	132	are	be	VBP
20165	1020	133	drawn	draw	VBN
20165	1020	134	to	to	IN
20165	1020	135	V1	V1	NNP
20165	1020	136	,	,	,
20165	1020	137	and	and	CC
20165	1020	138	those	those	DT
20165	1020	139	on	on	IN
20165	1020	140	wall	wall	NNP
20165	1020	141	2	2	CD
20165	1020	142	to	to	IN
20165	1020	143	V2	v2	NN
20165	1020	144	.	.	.
20165	1021	1	In	in	IN
20165	1021	2	order	order	NN
20165	1021	3	to	to	TO
20165	1021	4	see	see	VB
20165	1021	5	this	this	DT
20165	1021	6	drawing	drawing	NN
20165	1021	7	properly	properly	RB
20165	1021	8	,	,	,
20165	1021	9	the	the	DT
20165	1021	10	eye	eye	NN
20165	1021	11	should	should	MD
20165	1021	12	be	be	VB
20165	1021	13	placed	place	VBN
20165	1021	14	about	about	IN
20165	1021	15	3	3	CD
20165	1021	16	inches	inch	NNS
20165	1021	17	from	from	IN
20165	1021	18	it	-PRON-	PRP
20165	1021	19	,	,	,
20165	1021	20	and	and	CC
20165	1021	21	opposite	opposite	IN
20165	1021	22	the	the	DT
20165	1021	23	point	point	NN
20165	1021	24	of	of	IN
20165	1021	25	sight	sight	NN
20165	1021	26	;	;	:
20165	1021	27	it	-PRON-	PRP
20165	1021	28	will	will	MD
20165	1021	29	then	then	RB
20165	1021	30	stand	stand	VB
20165	1021	31	out	out	RP
20165	1021	32	like	like	IN
20165	1021	33	a	a	DT
20165	1021	34	stereoscopic	stereoscopic	JJ
20165	1021	35	picture	picture	NN
20165	1021	36	,	,	,
20165	1021	37	and	and	CC
20165	1021	38	appear	appear	VB
20165	1021	39	as	as	IN
20165	1021	40	actual	actual	JJ
20165	1021	41	space	space	NN
20165	1021	42	,	,	,
20165	1021	43	but	but	CC
20165	1021	44	otherwise	otherwise	RB
20165	1021	45	the	the	DT
20165	1021	46	perspective	perspective	NN
20165	1021	47	seems	seem	VBZ
20165	1021	48	deformed	deform	VBN
20165	1021	49	,	,	,
20165	1021	50	and	and	CC
20165	1021	51	the	the	DT
20165	1021	52	angles	angle	NNS
20165	1021	53	exaggerated	exaggerate	VBD
20165	1021	54	.	.	.
20165	1022	1	To	to	TO
20165	1022	2	make	make	VB
20165	1022	3	this	this	DT
20165	1022	4	drawing	drawing	NN
20165	1022	5	look	look	VBP
20165	1022	6	right	right	RB
20165	1022	7	from	from	IN
20165	1022	8	a	a	DT
20165	1022	9	reasonable	reasonable	JJ
20165	1022	10	distance	distance	NN
20165	1022	11	,	,	,
20165	1022	12	the	the	DT
20165	1022	13	point	point	NN
20165	1022	14	of	of	IN
20165	1022	15	distance	distance	NN
20165	1022	16	should	should	MD
20165	1022	17	be	be	VB
20165	1022	18	at	at	IN
20165	1022	19	least	least	RBS
20165	1022	20	twice	twice	RB
20165	1022	21	as	as	RB
20165	1022	22	far	far	RB
20165	1022	23	off	off	RB
20165	1022	24	as	as	IN
20165	1022	25	it	-PRON-	PRP
20165	1022	26	is	be	VBZ
20165	1022	27	here	here	RB
20165	1022	28	,	,	,
20165	1022	29	and	and	CC
20165	1022	30	this	this	DT
20165	1022	31	would	would	MD
20165	1022	32	mean	mean	VB
20165	1022	33	altering	alter	VBG
20165	1022	34	all	all	PDT
20165	1022	35	the	the	DT
20165	1022	36	other	other	JJ
20165	1022	37	points	point	NNS
20165	1022	38	and	and	CC
20165	1022	39	sending	send	VBG
20165	1022	40	them	-PRON-	PRP
20165	1022	41	a	a	DT
20165	1022	42	long	long	JJ
20165	1022	43	way	way	NN
20165	1022	44	out	out	IN
20165	1022	45	of	of	IN
20165	1022	46	the	the	DT
20165	1022	47	picture	picture	NN
20165	1022	48	;	;	:
20165	1022	49	this	this	DT
20165	1022	50	is	be	VBZ
20165	1022	51	why	why	WRB
20165	1022	52	artists	artist	NNS
20165	1022	53	use	use	VBP
20165	1022	54	those	those	DT
20165	1022	55	long	long	JJ
20165	1022	56	strings	string	NNS
20165	1022	57	referred	refer	VBN
20165	1022	58	to	to	IN
20165	1022	59	above	above	RB
20165	1022	60	.	.	.
20165	1023	1	I	-PRON-	PRP
20165	1023	2	would	would	MD
20165	1023	3	however	however	RB
20165	1023	4	,	,	,
20165	1023	5	advise	advise	VB
20165	1023	6	them	-PRON-	PRP
20165	1023	7	to	to	TO
20165	1023	8	make	make	VB
20165	1023	9	their	-PRON-	PRP$
20165	1023	10	perspective	perspective	NN
20165	1023	11	drawing	drawing	NN
20165	1023	12	on	on	IN
20165	1023	13	a	a	DT
20165	1023	14	small	small	JJ
20165	1023	15	scale	scale	NN
20165	1023	16	,	,	,
20165	1023	17	and	and	CC
20165	1023	18	then	then	RB
20165	1023	19	square	square	VB
20165	1023	20	it	-PRON-	PRP
20165	1023	21	up	up	RP
20165	1023	22	to	to	IN
20165	1023	23	the	the	DT
20165	1023	24	size	size	NN
20165	1023	25	of	of	IN
20165	1023	26	the	the	DT
20165	1023	27	canvas	canvas	NN
20165	1023	28	.	.	.
20165	1024	1	LXVII	LXVII	NNP
20165	1024	2	HOW	how	WRB
20165	1024	3	TO	to	TO
20165	1024	4	CORRECT	correct	NN
20165	1024	5	DISTORTED	distort	VBD
20165	1024	6	PERSPECTIVE	perspective	NN
20165	1024	7	BY	by	IN
20165	1024	8	DOUBLING	double	VBG
20165	1024	9	THE	the	DT
20165	1024	10	LINE	line	NN
20165	1024	11	OF	of	IN
20165	1024	12	DISTANCE	DISTANCE	NNP
20165	1024	13	Here	here	RB
20165	1024	14	we	-PRON-	PRP
20165	1024	15	have	have	VBP
20165	1024	16	the	the	DT
20165	1024	17	same	same	JJ
20165	1024	18	interior	interior	NN
20165	1024	19	as	as	IN
20165	1024	20	the	the	DT
20165	1024	21	foregoing	foregoing	NN
20165	1024	22	,	,	,
20165	1024	23	but	but	CC
20165	1024	24	drawn	draw	VBN
20165	1024	25	with	with	IN
20165	1024	26	double	double	PDT
20165	1024	27	the	the	DT
20165	1024	28	distance	distance	NN
20165	1024	29	,	,	,
20165	1024	30	so	so	IN
20165	1024	31	that	that	IN
20165	1024	32	the	the	DT
20165	1024	33	perspective	perspective	NN
20165	1024	34	is	be	VBZ
20165	1024	35	not	not	RB
20165	1024	36	so	so	RB
20165	1024	37	violent	violent	JJ
20165	1024	38	and	and	CC
20165	1024	39	the	the	DT
20165	1024	40	objects	object	NNS
20165	1024	41	are	be	VBP
20165	1024	42	truer	true	JJR
20165	1024	43	in	in	IN
20165	1024	44	proportion	proportion	NN
20165	1024	45	to	to	IN
20165	1024	46	each	each	DT
20165	1024	47	other	other	JJ
20165	1024	48	.	.	.
20165	1025	1	[	[	-LRB-
20165	1025	2	Illustration	illustration	NN
20165	1025	3	:	:	:
20165	1025	4	Fig	Fig	NNP
20165	1025	5	.	.	.
20165	1026	1	129	129	CD
20165	1026	2	.	.	.
20165	1026	3	]	]	-RRB-
20165	1027	1	To	to	TO
20165	1027	2	redraw	redraw	VB
20165	1027	3	the	the	DT
20165	1027	4	whole	whole	JJ
20165	1027	5	figure	figure	NN
20165	1027	6	double	double	PDT
20165	1027	7	the	the	DT
20165	1027	8	size	size	NN
20165	1027	9	,	,	,
20165	1027	10	including	include	VBG
20165	1027	11	the	the	DT
20165	1027	12	station	station	NN
20165	1027	13	-	-	HYPH
20165	1027	14	point	point	NN
20165	1027	15	,	,	,
20165	1027	16	would	would	MD
20165	1027	17	require	require	VB
20165	1027	18	a	a	DT
20165	1027	19	very	very	RB
20165	1027	20	large	large	JJ
20165	1027	21	diagram	diagram	NN
20165	1027	22	,	,	,
20165	1027	23	that	that	IN
20165	1027	24	we	-PRON-	PRP
20165	1027	25	could	could	MD
20165	1027	26	not	not	RB
20165	1027	27	get	get	VB
20165	1027	28	into	into	IN
20165	1027	29	this	this	DT
20165	1027	30	book	book	NN
20165	1027	31	without	without	IN
20165	1027	32	a	a	DT
20165	1027	33	folding	fold	VBG
20165	1027	34	plate	plate	NN
20165	1027	35	,	,	,
20165	1027	36	but	but	CC
20165	1027	37	it	-PRON-	PRP
20165	1027	38	comes	come	VBZ
20165	1027	39	to	to	IN
20165	1027	40	the	the	DT
20165	1027	41	same	same	JJ
20165	1027	42	thing	thing	NN
20165	1027	43	if	if	IN
20165	1027	44	we	-PRON-	PRP
20165	1027	45	double	double	VBP
20165	1027	46	the	the	DT
20165	1027	47	distances	distance	NNS
20165	1027	48	between	between	IN
20165	1027	49	the	the	DT
20165	1027	50	various	various	JJ
20165	1027	51	points	point	NNS
20165	1027	52	.	.	.
20165	1028	1	Thus	thus	RB
20165	1028	2	,	,	,
20165	1028	3	if	if	IN
20165	1028	4	from	from	IN
20165	1028	5	_	_	NNP
20165	1028	6	S	S	NNP
20165	1028	7	_	_	NNP
20165	1028	8	to	to	IN
20165	1028	9	_	_	NNP
20165	1028	10	G	G	NNP
20165	1028	11	_	_	NNP
20165	1028	12	in	in	IN
20165	1028	13	the	the	DT
20165	1028	14	small	small	JJ
20165	1028	15	diagram	diagram	NN
20165	1028	16	is	be	VBZ
20165	1028	17	1	1	CD
20165	1028	18	inch	inch	NN
20165	1028	19	,	,	,
20165	1028	20	in	in	IN
20165	1028	21	the	the	DT
20165	1028	22	larger	large	JJR
20165	1028	23	one	one	NN
20165	1028	24	make	make	VB
20165	1028	25	it	-PRON-	PRP
20165	1028	26	2	2	CD
20165	1028	27	inches	inch	NNS
20165	1028	28	.	.	.
20165	1029	1	If	if	IN
20165	1029	2	from	from	IN
20165	1029	3	_	_	NNP
20165	1029	4	S	S	NNP
20165	1029	5	_	_	NNP
20165	1029	6	to	to	IN
20165	1029	7	M2	M2	NNP
20165	1029	8	is	be	VBZ
20165	1029	9	2	2	CD
20165	1029	10	inches	inch	NNS
20165	1029	11	,	,	,
20165	1029	12	in	in	IN
20165	1029	13	the	the	DT
20165	1029	14	larger	large	JJR
20165	1029	15	make	make	VB
20165	1029	16	it	-PRON-	PRP
20165	1029	17	4	4	CD
20165	1029	18	,	,	,
20165	1029	19	and	and	CC
20165	1029	20	so	so	RB
20165	1029	21	on	on	RB
20165	1029	22	.	.	.
20165	1030	1	Or	or	CC
20165	1030	2	this	this	DT
20165	1030	3	form	form	NN
20165	1030	4	may	may	MD
20165	1030	5	be	be	VB
20165	1030	6	used	use	VBN
20165	1030	7	:	:	:
20165	1030	8	make	make	VB
20165	1030	9	_	_	NNP
20165	1030	10	AB	AB	NNP
20165	1030	11	_	_	NNP
20165	1030	12	twice	twice	PDT
20165	1030	13	the	the	DT
20165	1030	14	length	length	NN
20165	1030	15	of	of	IN
20165	1030	16	_	_	NNP
20165	1030	17	AC	AC	NNP
20165	1030	18	_	_	NNP
20165	1030	19	(	(	-LRB-
20165	1030	20	Fig	fig	NN
20165	1030	21	.	.	.
20165	1031	1	130	130	CD
20165	1031	2	)	)	-RRB-
20165	1031	3	,	,	,
20165	1031	4	or	or	CC
20165	1031	5	in	in	IN
20165	1031	6	any	any	DT
20165	1031	7	other	other	JJ
20165	1031	8	proportion	proportion	NN
20165	1031	9	required	require	VBN
20165	1031	10	.	.	.
20165	1032	1	On	on	IN
20165	1032	2	_	_	NNP
20165	1032	3	AC	AC	NNP
20165	1032	4	_	_	NNP
20165	1032	5	mark	mark	VB
20165	1032	6	the	the	DT
20165	1032	7	points	point	NNS
20165	1032	8	as	as	IN
20165	1032	9	in	in	IN
20165	1032	10	the	the	DT
20165	1032	11	drawing	drawing	NN
20165	1032	12	you	-PRON-	PRP
20165	1032	13	wish	wish	VBP
20165	1032	14	to	to	TO
20165	1032	15	enlarge	enlarge	VB
20165	1032	16	.	.	.
20165	1033	1	Make	make	VB
20165	1033	2	_	_	NNP
20165	1033	3	AB	AB	NNP
20165	1033	4	_	_	NNP
20165	1033	5	the	the	DT
20165	1033	6	length	length	NN
20165	1033	7	that	that	WDT
20165	1033	8	you	-PRON-	PRP
20165	1033	9	wish	wish	VBP
20165	1033	10	to	to	TO
20165	1033	11	enlarge	enlarge	VB
20165	1033	12	to	to	TO
20165	1033	13	,	,	,
20165	1033	14	draw	draw	VB
20165	1033	15	_	_	NNP
20165	1033	16	CB	CB	NNP
20165	1033	17	_	_	NNP
20165	1033	18	,	,	,
20165	1033	19	and	and	CC
20165	1033	20	then	then	RB
20165	1033	21	from	from	IN
20165	1033	22	each	each	DT
20165	1033	23	division	division	NN
20165	1033	24	on	on	IN
20165	1033	25	_	_	NNP
20165	1033	26	AC	AC	NNP
20165	1033	27	_	_	NNP
20165	1033	28	draw	draw	VBP
20165	1033	29	lines	line	NNS
20165	1033	30	parallel	parallel	JJ
20165	1033	31	to	to	IN
20165	1033	32	_	_	NNP
20165	1033	33	CB	CB	NNP
20165	1033	34	_	_	NNP
20165	1033	35	,	,	,
20165	1033	36	and	and	CC
20165	1033	37	_	_	NNP
20165	1033	38	AB	AB	NNP
20165	1033	39	_	_	NNP
20165	1033	40	will	will	MD
20165	1033	41	be	be	VB
20165	1033	42	divided	divide	VBN
20165	1033	43	in	in	IN
20165	1033	44	the	the	DT
20165	1033	45	same	same	JJ
20165	1033	46	proportions	proportion	NNS
20165	1033	47	,	,	,
20165	1033	48	as	as	IN
20165	1033	49	I	-PRON-	PRP
20165	1033	50	have	have	VBP
20165	1033	51	already	already	RB
20165	1033	52	shown	show	VBN
20165	1033	53	(	(	-LRB-
20165	1033	54	Fig	fig	NN
20165	1033	55	.	.	.
20165	1034	1	117	117	CD
20165	1034	2	)	)	-RRB-
20165	1034	3	.	.	.
20165	1035	1	There	there	EX
20165	1035	2	is	be	VBZ
20165	1035	3	no	no	DT
20165	1035	4	doubt	doubt	NN
20165	1035	5	that	that	IN
20165	1035	6	it	-PRON-	PRP
20165	1035	7	is	be	VBZ
20165	1035	8	easier	easy	JJR
20165	1035	9	to	to	TO
20165	1035	10	work	work	VB
20165	1035	11	direct	direct	RB
20165	1035	12	from	from	IN
20165	1035	13	the	the	DT
20165	1035	14	vanishing	vanish	VBG
20165	1035	15	points	point	NNS
20165	1035	16	themselves	-PRON-	PRP
20165	1035	17	,	,	,
20165	1035	18	especially	especially	RB
20165	1035	19	in	in	IN
20165	1035	20	complicated	complicated	JJ
20165	1035	21	architectural	architectural	JJ
20165	1035	22	work	work	NN
20165	1035	23	,	,	,
20165	1035	24	but	but	CC
20165	1035	25	at	at	IN
20165	1035	26	the	the	DT
20165	1035	27	same	same	JJ
20165	1035	28	time	time	NN
20165	1035	29	I	-PRON-	PRP
20165	1035	30	will	will	MD
20165	1035	31	now	now	RB
20165	1035	32	show	show	VB
20165	1035	33	you	-PRON-	PRP
20165	1035	34	how	how	WRB
20165	1035	35	we	-PRON-	PRP
20165	1035	36	can	can	MD
20165	1035	37	dispense	dispense	VB
20165	1035	38	with	with	IN
20165	1035	39	,	,	,
20165	1035	40	at	at	IN
20165	1035	41	all	all	DT
20165	1035	42	events	event	NNS
20165	1035	43	,	,	,
20165	1035	44	one	one	CD
20165	1035	45	of	of	IN
20165	1035	46	them	-PRON-	PRP
20165	1035	47	,	,	,
20165	1035	48	and	and	CC
20165	1035	49	that	that	IN
20165	1035	50	the	the	DT
20165	1035	51	farthest	farth	JJS
20165	1035	52	away	away	RB
20165	1035	53	.	.	.
20165	1036	1	[	[	-LRB-
20165	1036	2	Illustration	illustration	NN
20165	1036	3	:	:	:
20165	1036	4	Fig	Fig	NNP
20165	1036	5	.	.	.
20165	1037	1	130	130	CD
20165	1037	2	.	.	.
20165	1037	3	]	]	-RRB-
20165	1038	1	LXVIII	lxviii	NN
20165	1038	2	HOW	how	WRB
20165	1038	3	TO	to	TO
20165	1038	4	DRAW	draw	VB
20165	1038	5	A	a	DT
20165	1038	6	CUBE	cube	NN
20165	1038	7	ON	on	IN
20165	1038	8	A	a	DT
20165	1038	9	GIVEN	GIVEN	NNP
20165	1038	10	SQUARE	SQUARE	NNP
20165	1038	11	,	,	,
20165	1038	12	USING	use	VBG
20165	1038	13	ONLY	ONLY	NNP
20165	1038	14	ONE	one	CD
20165	1038	15	VANISHING	vanishing	NN
20165	1038	16	POINT	POINT	NNP
20165	1038	17	_	_	NNP
20165	1038	18	ABCD	ABCD	NNP
20165	1038	19	_	_	NNP
20165	1038	20	is	be	VBZ
20165	1038	21	the	the	DT
20165	1038	22	given	give	VBN
20165	1038	23	square	square	NN
20165	1038	24	(	(	-LRB-
20165	1038	25	Fig	fig	NN
20165	1038	26	.	.	.
20165	1039	1	131	131	CD
20165	1039	2	)	)	-RRB-
20165	1039	3	.	.	.
20165	1040	1	At	at	IN
20165	1040	2	_	_	NNP
20165	1040	3	A	A	NNP
20165	1040	4	_	_	NNP
20165	1040	5	raise	raise	NN
20165	1040	6	vertical	vertical	JJ
20165	1040	7	_	_	NNP
20165	1040	8	Aa	Aa	NNP
20165	1040	9	_	_	NNP
20165	1040	10	equal	equal	JJ
20165	1040	11	to	to	TO
20165	1040	12	side	side	NN
20165	1040	13	of	of	IN
20165	1040	14	square	square	NN
20165	1040	15	_	_	NNP
20165	1040	16	AB	AB	NNP
20165	1040	17	·	·	NFP
20165	1040	18	_	_	NNP
20165	1040	19	,	,	,
20165	1040	20	from	from	IN
20165	1040	21	_	_	NNP
20165	1040	22	a	a	DT
20165	1040	23	_	_	NNP
20165	1040	24	draw	draw	NN
20165	1040	25	_	_	NNP
20165	1040	26	ab	ab	NNP
20165	1040	27	_	_	NNP
20165	1040	28	to	to	IN
20165	1040	29	the	the	DT
20165	1040	30	vanishing	vanish	VBG
20165	1040	31	point	point	NN
20165	1040	32	.	.	.
20165	1041	1	Raise	raise	VB
20165	1041	2	_	_	NNP
20165	1041	3	Bb	Bb	NNP
20165	1041	4	_	_	NNP
20165	1041	5	.	.	.
20165	1042	1	Produce	Produce	NNP
20165	1042	2	_	_	NNP
20165	1042	3	VD	VD	NNP
20165	1042	4	_	_	NNP
20165	1042	5	to	to	IN
20165	1042	6	_	_	NNP
20165	1042	7	E	E	NNP
20165	1042	8	_	_	NNP
20165	1042	9	to	to	TO
20165	1042	10	touch	touch	VB
20165	1042	11	the	the	DT
20165	1042	12	base	base	NN
20165	1042	13	line	line	NN
20165	1042	14	.	.	.
20165	1043	1	From	from	IN
20165	1043	2	_	_	NNP
20165	1043	3	E	E	NNP
20165	1043	4	_	_	NNP
20165	1043	5	raise	raise	VB
20165	1043	6	vertical	vertical	JJ
20165	1043	7	_	_	NNP
20165	1043	8	EF	EF	NNP
20165	1043	9	_	_	NNP
20165	1043	10	,	,	,
20165	1043	11	making	make	VBG
20165	1043	12	it	-PRON-	PRP
20165	1043	13	equal	equal	JJ
20165	1043	14	to	to	IN
20165	1043	15	_	_	NNP
20165	1043	16	Aa	Aa	NNP
20165	1043	17	_	_	NNP
20165	1043	18	.	.	.
20165	1044	1	From	from	IN
20165	1044	2	_	_	NNP
20165	1044	3	F	F	NNP
20165	1044	4	_	_	NNP
20165	1044	5	draw	draw	NN
20165	1044	6	_	_	NNP
20165	1044	7	FV	FV	NNP
20165	1044	8	_	_	NNP
20165	1044	9	.	.	.
20165	1045	1	Raise	raise	VB
20165	1045	2	_	_	NNP
20165	1045	3	Dd	Dd	NNP
20165	1045	4	_	_	NNP
20165	1045	5	and	and	CC
20165	1045	6	_	_	NNP
20165	1045	7	Cc	Cc	NNP
20165	1045	8	_	_	NNP
20165	1045	9	,	,	,
20165	1045	10	their	-PRON-	PRP$
20165	1045	11	heights	height	NNS
20165	1045	12	being	be	VBG
20165	1045	13	determined	determine	VBN
20165	1045	14	by	by	IN
20165	1045	15	the	the	DT
20165	1045	16	line	line	NN
20165	1045	17	_	_	NNP
20165	1045	18	FV	FV	NNP
20165	1045	19	_	_	NNP
20165	1045	20	.	.	.
20165	1046	1	Join	join	VB
20165	1046	2	_	_	NNP
20165	1046	3	da	da	NNP
20165	1046	4	_	_	NNP
20165	1046	5	and	and	CC
20165	1046	6	the	the	DT
20165	1046	7	cube	cube	NN
20165	1046	8	is	be	VBZ
20165	1046	9	complete	complete	JJ
20165	1046	10	.	.	.
20165	1047	1	It	-PRON-	PRP
20165	1047	2	will	will	MD
20165	1047	3	be	be	VB
20165	1047	4	seen	see	VBN
20165	1047	5	that	that	IN
20165	1047	6	the	the	DT
20165	1047	7	verticals	vertical	NNS
20165	1047	8	raised	raise	VBD
20165	1047	9	at	at	IN
20165	1047	10	each	each	DT
20165	1047	11	corner	corner	NN
20165	1047	12	of	of	IN
20165	1047	13	the	the	DT
20165	1047	14	square	square	NN
20165	1047	15	are	be	VBP
20165	1047	16	equal	equal	JJ
20165	1047	17	perspectively	perspectively	RB
20165	1047	18	,	,	,
20165	1047	19	as	as	IN
20165	1047	20	they	-PRON-	PRP
20165	1047	21	are	be	VBP
20165	1047	22	drawn	draw	VBN
20165	1047	23	between	between	IN
20165	1047	24	parallels	parallel	NNS
20165	1047	25	which	which	WDT
20165	1047	26	start	start	VBP
20165	1047	27	from	from	IN
20165	1047	28	equal	equal	JJ
20165	1047	29	heights	height	NNS
20165	1047	30	,	,	,
20165	1047	31	namely	namely	RB
20165	1047	32	,	,	,
20165	1047	33	from	from	IN
20165	1047	34	_	_	NNP
20165	1047	35	EF	EF	NNP
20165	1047	36	_	_	NNP
20165	1047	37	and	and	CC
20165	1047	38	_	_	NNP
20165	1047	39	Aa	Aa	NNP
20165	1047	40	_	_	NNP
20165	1047	41	to	to	IN
20165	1047	42	the	the	DT
20165	1047	43	same	same	JJ
20165	1047	44	point	point	NN
20165	1047	45	_	_	NNP
20165	1047	46	V	V	NNP
20165	1047	47	_	_	NNP
20165	1047	48	,	,	,
20165	1047	49	the	the	DT
20165	1047	50	vanishing	vanish	VBG
20165	1047	51	point	point	NN
20165	1047	52	.	.	.
20165	1048	1	Any	any	DT
20165	1048	2	other	other	JJ
20165	1048	3	line	line	NN
20165	1048	4	,	,	,
20165	1048	5	such	such	JJ
20165	1048	6	as	as	IN
20165	1048	7	_	_	NNP
20165	1048	8	OO	OO	NNP
20165	1048	9	·	·	.
20165	1048	10	_	_	NNP
20165	1048	11	,	,	,
20165	1048	12	can	can	MD
20165	1048	13	be	be	VB
20165	1048	14	directed	direct	VBN
20165	1048	15	to	to	IN
20165	1048	16	the	the	DT
20165	1048	17	inaccessible	inaccessible	JJ
20165	1048	18	vanishing	vanishing	NN
20165	1048	19	point	point	NN
20165	1048	20	in	in	IN
20165	1048	21	the	the	DT
20165	1048	22	same	same	JJ
20165	1048	23	way	way	NN
20165	1048	24	as	as	IN
20165	1048	25	_	_	NNP
20165	1048	26	ad	ad	NN
20165	1048	27	_	_	NNP
20165	1048	28	,	,	,
20165	1048	29	&	&	CC
20165	1048	30	c.	c.	NNP
20165	1048	31	_	_	NNP
20165	1048	32	Note	Note	NNP
20165	1048	33	.	.	.
20165	1048	34	_	_	NNP
20165	1048	35	This	this	DT
20165	1048	36	is	be	VBZ
20165	1048	37	only	only	RB
20165	1048	38	one	one	CD
20165	1048	39	of	of	IN
20165	1048	40	many	many	JJ
20165	1048	41	original	original	JJ
20165	1048	42	figures	figure	NNS
20165	1048	43	and	and	CC
20165	1048	44	problems	problem	NNS
20165	1048	45	in	in	IN
20165	1048	46	this	this	DT
20165	1048	47	book	book	NN
20165	1048	48	which	which	WDT
20165	1048	49	have	have	VBP
20165	1048	50	been	be	VBN
20165	1048	51	called	call	VBN
20165	1048	52	up	up	RP
20165	1048	53	by	by	IN
20165	1048	54	the	the	DT
20165	1048	55	wish	wish	NN
20165	1048	56	to	to	TO
20165	1048	57	facilitate	facilitate	VB
20165	1048	58	the	the	DT
20165	1048	59	work	work	NN
20165	1048	60	of	of	IN
20165	1048	61	the	the	DT
20165	1048	62	artist	artist	NN
20165	1048	63	,	,	,
20165	1048	64	and	and	CC
20165	1048	65	as	as	IN
20165	1048	66	it	-PRON-	PRP
20165	1048	67	were	be	VBD
20165	1048	68	by	by	IN
20165	1048	69	necessity	necessity	NN
20165	1048	70	.	.	.
20165	1049	1	[	[	-LRB-
20165	1049	2	Illustration	illustration	NN
20165	1049	3	:	:	:
20165	1049	4	Fig	Fig	NNP
20165	1049	5	.	.	.
20165	1050	1	131	131	CD
20165	1050	2	.	.	.
20165	1050	3	]	]	-RRB-
20165	1051	1	LXIX	LXIX	NNP
20165	1051	2	A	a	DT
20165	1051	3	COURTYARD	courtyard	NN
20165	1051	4	OR	or	CC
20165	1051	5	CLOISTER	CLOISTER	NNP
20165	1051	6	DRAWN	DRAWN	NNS
20165	1051	7	WITH	with	IN
20165	1051	8	ONE	one	CD
20165	1051	9	VANISHING	vanishing	NN
20165	1051	10	POINT	POINT	NNP
20165	1051	11	[	[	-LRB-
20165	1051	12	Illustration	illustration	NN
20165	1051	13	:	:	:
20165	1051	14	Fig	Fig	NNP
20165	1051	15	.	.	.
20165	1052	1	132	132	CD
20165	1052	2	.	.	.
20165	1052	3	]	]	-RRB-
20165	1053	1	In	in	IN
20165	1053	2	this	this	DT
20165	1053	3	figure	figure	NN
20165	1053	4	I	-PRON-	PRP
20165	1053	5	have	have	VBP
20165	1053	6	first	first	RB
20165	1053	7	drawn	draw	VBN
20165	1053	8	the	the	DT
20165	1053	9	pavement	pavement	NN
20165	1053	10	by	by	IN
20165	1053	11	means	mean	NNS
20165	1053	12	of	of	IN
20165	1053	13	the	the	DT
20165	1053	14	diagonals	diagonal	NNS
20165	1053	15	_	_	NNP
20165	1053	16	GA	GA	NNP
20165	1053	17	_	_	NNP
20165	1053	18	,	,	,
20165	1053	19	_	_	NNP
20165	1053	20	Go	Go	NNP
20165	1053	21	_	_	NNP
20165	1053	22	,	,	,
20165	1053	23	_	_	NNP
20165	1053	24	Go	Go	NNP
20165	1053	25	_	_	NNP
20165	1053	26	,	,	,
20165	1053	27	&	&	CC
20165	1053	28	c.	c.	NNP
20165	1053	29	,	,	,
20165	1053	30	and	and	CC
20165	1053	31	the	the	DT
20165	1053	32	vanishing	vanish	VBG
20165	1053	33	point	point	NN
20165	1053	34	_	_	NNP
20165	1053	35	V	V	NNP
20165	1053	36	_	_	NNP
20165	1053	37	,	,	,
20165	1053	38	the	the	DT
20165	1053	39	square	square	NN
20165	1053	40	at	at	IN
20165	1053	41	_	_	NNP
20165	1053	42	A	A	NNP
20165	1053	43	_	_	NNP
20165	1053	44	being	be	VBG
20165	1053	45	given	give	VBN
20165	1053	46	.	.	.
20165	1054	1	From	from	IN
20165	1054	2	_	_	NNP
20165	1054	3	A	A	NNP
20165	1054	4	_	_	NNP
20165	1054	5	draw	draw	NN
20165	1054	6	diagonal	diagonal	JJ
20165	1054	7	through	through	IN
20165	1054	8	opposite	opposite	JJ
20165	1054	9	corner	corner	NN
20165	1054	10	till	till	IN
20165	1054	11	it	-PRON-	PRP
20165	1054	12	cuts	cut	VBZ
20165	1054	13	the	the	DT
20165	1054	14	horizon	horizon	NN
20165	1054	15	at	at	IN
20165	1054	16	_	_	NNP
20165	1054	17	G	G	NNP
20165	1054	18	_	_	NNP
20165	1054	19	.	.	.
20165	1055	1	From	from	IN
20165	1055	2	this	this	DT
20165	1055	3	same	same	JJ
20165	1055	4	point	point	NN
20165	1055	5	_	_	NNP
20165	1055	6	G	G	NNP
20165	1055	7	_	_	NNP
20165	1055	8	draw	draw	VBP
20165	1055	9	lines	line	NNS
20165	1055	10	through	through	IN
20165	1055	11	the	the	DT
20165	1055	12	other	other	JJ
20165	1055	13	corners	corner	NNS
20165	1055	14	of	of	IN
20165	1055	15	the	the	DT
20165	1055	16	square	square	NN
20165	1055	17	till	till	IN
20165	1055	18	they	-PRON-	PRP
20165	1055	19	cut	cut	VBD
20165	1055	20	the	the	DT
20165	1055	21	ground	ground	NN
20165	1055	22	line	line	NN
20165	1055	23	at	at	IN
20165	1055	24	_	_	NNP
20165	1055	25	o	o	XX
20165	1055	26	_	_	NNP
20165	1055	27	,	,	,
20165	1055	28	_	_	NNP
20165	1055	29	o	o	XX
20165	1055	30	_	_	NNP
20165	1055	31	.	.	.
20165	1056	1	Take	take	VB
20165	1056	2	this	this	DT
20165	1056	3	measurement	measurement	NN
20165	1056	4	_	_	NNP
20165	1056	5	Ao	Ao	NNP
20165	1056	6	_	_	NNP
20165	1056	7	and	and	CC
20165	1056	8	mark	mark	VB
20165	1056	9	it	-PRON-	PRP
20165	1056	10	along	along	IN
20165	1056	11	the	the	DT
20165	1056	12	base	base	NN
20165	1056	13	right	right	RB
20165	1056	14	and	and	CC
20165	1056	15	left	leave	VBD
20165	1056	16	of	of	IN
20165	1056	17	_	_	NNP
20165	1056	18	A	A	NNP
20165	1056	19	_	_	NNP
20165	1056	20	,	,	,
20165	1056	21	and	and	CC
20165	1056	22	the	the	DT
20165	1056	23	lines	line	NNS
20165	1056	24	drawn	draw	VBN
20165	1056	25	from	from	IN
20165	1056	26	these	these	DT
20165	1056	27	points	point	NNS
20165	1056	28	_	_	NNP
20165	1056	29	o	o	XX
20165	1056	30	_	_	NNP
20165	1056	31	to	to	TO
20165	1056	32	point	point	VB
20165	1056	33	_	_	NNP
20165	1056	34	G	G	NNP
20165	1056	35	_	_	NNP
20165	1056	36	will	will	MD
20165	1056	37	give	give	VB
20165	1056	38	the	the	DT
20165	1056	39	diagonals	diagonal	NNS
20165	1056	40	of	of	IN
20165	1056	41	all	all	PDT
20165	1056	42	the	the	DT
20165	1056	43	squares	square	NNS
20165	1056	44	on	on	IN
20165	1056	45	the	the	DT
20165	1056	46	pavement	pavement	NN
20165	1056	47	.	.	.
20165	1057	1	Produce	produce	NN
20165	1057	2	sides	side	NNS
20165	1057	3	of	of	IN
20165	1057	4	square	square	NN
20165	1057	5	_	_	NNP
20165	1057	6	A	A	NNP
20165	1057	7	_	_	NNP
20165	1057	8	,	,	,
20165	1057	9	and	and	CC
20165	1057	10	where	where	WRB
20165	1057	11	these	these	DT
20165	1057	12	lines	line	NNS
20165	1057	13	are	be	VBP
20165	1057	14	intersected	intersect	VBN
20165	1057	15	by	by	IN
20165	1057	16	the	the	DT
20165	1057	17	diagonals	diagonal	NNS
20165	1057	18	_	_	NNP
20165	1057	19	Go	Go	NNP
20165	1057	20	_	_	NNP
20165	1057	21	draw	draw	VB
20165	1057	22	lines	line	NNS
20165	1057	23	from	from	IN
20165	1057	24	the	the	DT
20165	1057	25	vanishing	vanish	VBG
20165	1057	26	point	point	NN
20165	1057	27	_	_	NNP
20165	1057	28	V	V	NNP
20165	1057	29	_	_	NNP
20165	1057	30	to	to	TO
20165	1057	31	base	base	VB
20165	1057	32	.	.	.
20165	1058	1	These	these	DT
20165	1058	2	will	will	MD
20165	1058	3	give	give	VB
20165	1058	4	us	-PRON-	PRP
20165	1058	5	the	the	DT
20165	1058	6	outlines	outline	NNS
20165	1058	7	of	of	IN
20165	1058	8	the	the	DT
20165	1058	9	squares	square	NNS
20165	1058	10	lying	lie	VBG
20165	1058	11	between	between	IN
20165	1058	12	them	-PRON-	PRP
20165	1058	13	and	and	CC
20165	1058	14	also	also	RB
20165	1058	15	guiding	guide	VBG
20165	1058	16	points	point	NNS
20165	1058	17	that	that	WDT
20165	1058	18	will	will	MD
20165	1058	19	enable	enable	VB
20165	1058	20	us	-PRON-	PRP
20165	1058	21	to	to	TO
20165	1058	22	draw	draw	VB
20165	1058	23	as	as	RB
20165	1058	24	many	many	JJ
20165	1058	25	more	more	JJR
20165	1058	26	as	as	IN
20165	1058	27	we	-PRON-	PRP
20165	1058	28	please	please	VBP
20165	1058	29	.	.	.
20165	1059	1	These	these	DT
20165	1059	2	again	again	RB
20165	1059	3	will	will	MD
20165	1059	4	give	give	VB
20165	1059	5	us	-PRON-	PRP
20165	1059	6	our	-PRON-	PRP$
20165	1059	7	measurements	measurement	NNS
20165	1059	8	for	for	IN
20165	1059	9	the	the	DT
20165	1059	10	widths	width	NNS
20165	1059	11	of	of	IN
20165	1059	12	the	the	DT
20165	1059	13	arches	arch	NNS
20165	1059	14	,	,	,
20165	1059	15	&	&	CC
20165	1059	16	c.	c.	NNP
20165	1059	17	,	,	,
20165	1059	18	or	or	CC
20165	1059	19	between	between	IN
20165	1059	20	the	the	DT
20165	1059	21	columns	column	NNS
20165	1059	22	.	.	.
20165	1060	1	Having	have	VBG
20165	1060	2	fixed	fix	VBN
20165	1060	3	the	the	DT
20165	1060	4	height	height	NN
20165	1060	5	of	of	IN
20165	1060	6	wall	wall	NNP
20165	1060	7	or	or	CC
20165	1060	8	dado	dado	NNP
20165	1060	9	,	,	,
20165	1060	10	we	-PRON-	PRP
20165	1060	11	make	make	VBP
20165	1060	12	use	use	NN
20165	1060	13	of	of	IN
20165	1060	14	_	_	NNP
20165	1060	15	V	V	NNP
20165	1060	16	_	_	NNP
20165	1060	17	point	point	NN
20165	1060	18	to	to	TO
20165	1060	19	draw	draw	VB
20165	1060	20	the	the	DT
20165	1060	21	sides	side	NNS
20165	1060	22	of	of	IN
20165	1060	23	the	the	DT
20165	1060	24	building	building	NN
20165	1060	25	,	,	,
20165	1060	26	and	and	CC
20165	1060	27	by	by	IN
20165	1060	28	means	mean	NNS
20165	1060	29	of	of	IN
20165	1060	30	proportionate	proportionate	NN
20165	1060	31	measurement	measurement	NN
20165	1060	32	complete	complete	VB
20165	1060	33	the	the	DT
20165	1060	34	rest	rest	NN
20165	1060	35	,	,	,
20165	1060	36	as	as	IN
20165	1060	37	in	in	IN
20165	1060	38	Fig	Fig	NNP
20165	1060	39	.	.	.
20165	1061	1	128	128	CD
20165	1061	2	.	.	.
20165	1062	1	LXX	lxx	NN
20165	1062	2	HOW	how	WRB
20165	1062	3	TO	to	TO
20165	1062	4	DRAW	draw	VB
20165	1062	5	LINES	lines	NN
20165	1062	6	WHICH	which	WDT
20165	1062	7	SHALL	SHALL	NNP
20165	1062	8	MEET	MEET	NNP
20165	1062	9	AT	at	IN
20165	1062	10	A	a	DT
20165	1062	11	DISTANT	distant	JJ
20165	1062	12	POINT	POINT	NNS
20165	1062	13	,	,	,
20165	1062	14	BY	by	IN
20165	1062	15	MEANS	mean	NNS
20165	1062	16	OF	of	IN
20165	1062	17	DIAGONALS	diagonal	NNS
20165	1062	18	This	this	DT
20165	1062	19	is	be	VBZ
20165	1062	20	in	in	IN
20165	1062	21	a	a	DT
20165	1062	22	great	great	JJ
20165	1062	23	measure	measure	NN
20165	1062	24	a	a	DT
20165	1062	25	repetition	repetition	NN
20165	1062	26	of	of	IN
20165	1062	27	the	the	DT
20165	1062	28	foregoing	foregoing	NN
20165	1062	29	figure	figure	NN
20165	1062	30	,	,	,
20165	1062	31	and	and	CC
20165	1062	32	therefore	therefore	RB
20165	1062	33	needs	need	VBZ
20165	1062	34	no	no	DT
20165	1062	35	further	further	JJ
20165	1062	36	explanation	explanation	NN
20165	1062	37	.	.	.
20165	1063	1	[	[	-LRB-
20165	1063	2	Illustration	illustration	NN
20165	1063	3	:	:	:
20165	1063	4	Fig	Fig	NNP
20165	1063	5	.	.	.
20165	1064	1	133	133	LS
20165	1064	2	.	.	.
20165	1064	3	]	]	-RRB-
20165	1065	1	I	-PRON-	PRP
20165	1065	2	must	must	MD
20165	1065	3	,	,	,
20165	1065	4	however	however	RB
20165	1065	5	,	,	,
20165	1065	6	point	point	VB
20165	1065	7	out	out	RP
20165	1065	8	the	the	DT
20165	1065	9	importance	importance	NN
20165	1065	10	of	of	IN
20165	1065	11	the	the	DT
20165	1065	12	point	point	NN
20165	1065	13	_	_	NNP
20165	1065	14	G	G	NNP
20165	1065	15	_	_	NNP
20165	1065	16	.	.	.
20165	1066	1	In	in	IN
20165	1066	2	angular	angular	JJ
20165	1066	3	perspective	perspective	NN
20165	1066	4	it	-PRON-	PRP
20165	1066	5	in	in	IN
20165	1066	6	a	a	DT
20165	1066	7	measure	measure	NN
20165	1066	8	takes	take	VBZ
20165	1066	9	the	the	DT
20165	1066	10	place	place	NN
20165	1066	11	of	of	IN
20165	1066	12	the	the	DT
20165	1066	13	point	point	NN
20165	1066	14	of	of	IN
20165	1066	15	distance	distance	NN
20165	1066	16	in	in	IN
20165	1066	17	parallel	parallel	JJ
20165	1066	18	perspective	perspective	NN
20165	1066	19	,	,	,
20165	1066	20	since	since	IN
20165	1066	21	it	-PRON-	PRP
20165	1066	22	is	be	VBZ
20165	1066	23	the	the	DT
20165	1066	24	vanishing	vanish	VBG
20165	1066	25	point	point	NN
20165	1066	26	of	of	IN
20165	1066	27	diagonals	diagonal	NNS
20165	1066	28	at	at	IN
20165	1066	29	45	45	CD
20165	1066	30	°	°	NNS
20165	1066	31	drawn	draw	VBN
20165	1066	32	between	between	IN
20165	1066	33	parallels	parallel	NNS
20165	1066	34	such	such	JJ
20165	1066	35	as	as	IN
20165	1066	36	_	_	NNP
20165	1066	37	AV	AV	NNP
20165	1066	38	_	_	NNP
20165	1066	39	,	,	,
20165	1066	40	_	_	NNP
20165	1066	41	DV	DV	NNP
20165	1066	42	_	_	NNP
20165	1066	43	,	,	,
20165	1066	44	drawn	draw	VBN
20165	1066	45	to	to	IN
20165	1066	46	a	a	DT
20165	1066	47	vanishing	vanishing	JJ
20165	1066	48	point	point	NN
20165	1066	49	_	_	NNP
20165	1066	50	V	V	NNP
20165	1066	51	_	_	NNP
20165	1066	52	.	.	.
20165	1067	1	The	the	DT
20165	1067	2	method	method	NN
20165	1067	3	of	of	IN
20165	1067	4	dividing	divide	VBG
20165	1067	5	line	line	NN
20165	1067	6	_	_	NNP
20165	1067	7	AV	AV	NNP
20165	1067	8	_	_	NNP
20165	1067	9	into	into	IN
20165	1067	10	a	a	DT
20165	1067	11	number	number	NN
20165	1067	12	of	of	IN
20165	1067	13	parts	part	NNS
20165	1067	14	equal	equal	JJ
20165	1067	15	to	to	IN
20165	1067	16	_	_	NNP
20165	1067	17	AB	AB	NNP
20165	1067	18	_	_	NNP
20165	1067	19	,	,	,
20165	1067	20	the	the	DT
20165	1067	21	side	side	NN
20165	1067	22	of	of	IN
20165	1067	23	the	the	DT
20165	1067	24	square	square	NN
20165	1067	25	,	,	,
20165	1067	26	is	be	VBZ
20165	1067	27	also	also	RB
20165	1067	28	shown	show	VBN
20165	1067	29	in	in	IN
20165	1067	30	a	a	DT
20165	1067	31	previous	previous	JJ
20165	1067	32	figure	figure	NN
20165	1067	33	(	(	-LRB-
20165	1067	34	Fig	fig	NN
20165	1067	35	.	.	.
20165	1068	1	120	120	CD
20165	1068	2	)	)	-RRB-
20165	1068	3	.	.	.
20165	1069	1	LXXI	LXXI	NNP
20165	1069	2	HOW	how	WRB
20165	1069	3	TO	to	IN
20165	1069	4	DIVIDE	DIVIDE	NNP
20165	1069	5	A	a	DT
20165	1069	6	SQUARE	SQUARE	NNP
20165	1069	7	PLACED	PLACED	NNP
20165	1069	8	AT	at	IN
20165	1069	9	AN	an	DT
20165	1069	10	ANGLE	ANGLE	NNS
20165	1069	11	INTO	into	VBP
20165	1069	12	A	a	DT
20165	1069	13	GIVEN	give	VBN
20165	1069	14	NUMBER	number	NN
20165	1069	15	OF	of	IN
20165	1069	16	SMALL	SMALL	NNP
20165	1069	17	SQUARES	SQUARES	NNP
20165	1069	18	_	_	NNP
20165	1069	19	ABCD	ABCD	NNP
20165	1069	20	_	_	NNP
20165	1069	21	is	be	VBZ
20165	1069	22	the	the	DT
20165	1069	23	given	give	VBN
20165	1069	24	square	square	NN
20165	1069	25	,	,	,
20165	1069	26	and	and	CC
20165	1069	27	only	only	RB
20165	1069	28	one	one	CD
20165	1069	29	vanishing	vanishing	NN
20165	1069	30	point	point	NN
20165	1069	31	is	be	VBZ
20165	1069	32	accessible	accessible	JJ
20165	1069	33	.	.	.
20165	1070	1	Let	let	VB
20165	1070	2	us	-PRON-	PRP
20165	1070	3	divide	divide	VB
20165	1070	4	it	-PRON-	PRP
20165	1070	5	into	into	IN
20165	1070	6	sixteen	sixteen	CD
20165	1070	7	small	small	JJ
20165	1070	8	squares	square	NNS
20165	1070	9	.	.	.
20165	1071	1	Produce	produce	VB
20165	1071	2	side	side	NN
20165	1071	3	_	_	NNP
20165	1071	4	CD	CD	NNP
20165	1071	5	_	_	NNP
20165	1071	6	to	to	TO
20165	1071	7	base	base	VB
20165	1071	8	at	at	IN
20165	1071	9	_	_	NNP
20165	1071	10	E	E	NNP
20165	1071	11	_	_	NNP
20165	1071	12	.	.	.
20165	1072	1	Divide	Divide	NNP
20165	1072	2	_	_	NNP
20165	1072	3	EA	EA	NNP
20165	1072	4	_	_	NNP
20165	1072	5	into	into	IN
20165	1072	6	four	four	CD
20165	1072	7	equal	equal	JJ
20165	1072	8	parts	part	NNS
20165	1072	9	.	.	.
20165	1073	1	From	from	IN
20165	1073	2	each	each	DT
20165	1073	3	division	division	NN
20165	1073	4	draw	draw	VBP
20165	1073	5	lines	line	NNS
20165	1073	6	to	to	IN
20165	1073	7	vanishing	vanish	VBG
20165	1073	8	point	point	NN
20165	1073	9	_	_	NNP
20165	1073	10	V	V	NNP
20165	1073	11	_	_	NNP
20165	1073	12	.	.	.
20165	1074	1	Draw	Draw	NNP
20165	1074	2	diagonals	diagonal	NNS
20165	1074	3	_	_	NNP
20165	1074	4	BD	BD	NNP
20165	1074	5	_	_	NNP
20165	1074	6	and	and	CC
20165	1074	7	_	_	NNP
20165	1074	8	AC	AC	NNP
20165	1074	9	_	_	NNP
20165	1074	10	,	,	,
20165	1074	11	and	and	CC
20165	1074	12	produce	produce	VB
20165	1074	13	the	the	DT
20165	1074	14	latter	latter	JJ
20165	1074	15	till	till	IN
20165	1074	16	it	-PRON-	PRP
20165	1074	17	cuts	cut	VBZ
20165	1074	18	the	the	DT
20165	1074	19	horizon	horizon	NN
20165	1074	20	in	in	IN
20165	1074	21	_	_	NNP
20165	1074	22	G	G	NNP
20165	1074	23	_	_	NNP
20165	1074	24	.	.	.
20165	1075	1	Draw	draw	VB
20165	1075	2	the	the	DT
20165	1075	3	three	three	CD
20165	1075	4	cross	cross	NN
20165	1075	5	-	-	NNS
20165	1075	6	lines	line	NNS
20165	1075	7	through	through	IN
20165	1075	8	the	the	DT
20165	1075	9	intersections	intersection	NNS
20165	1075	10	made	make	VBN
20165	1075	11	by	by	IN
20165	1075	12	the	the	DT
20165	1075	13	diagonals	diagonal	NNS
20165	1075	14	and	and	CC
20165	1075	15	the	the	DT
20165	1075	16	lines	line	NNS
20165	1075	17	drawn	draw	VBN
20165	1075	18	to	to	IN
20165	1075	19	_	_	NNP
20165	1075	20	V	V	NNP
20165	1075	21	_	_	NNP
20165	1075	22	,	,	,
20165	1075	23	and	and	CC
20165	1075	24	thus	thus	RB
20165	1075	25	divide	divide	VBP
20165	1075	26	the	the	DT
20165	1075	27	square	square	NN
20165	1075	28	into	into	IN
20165	1075	29	sixteen	sixteen	CD
20165	1075	30	.	.	.
20165	1076	1	[	[	-LRB-
20165	1076	2	Illustration	illustration	NN
20165	1076	3	:	:	:
20165	1076	4	Fig	Fig	NNP
20165	1076	5	.	.	.
20165	1077	1	134	134	CD
20165	1077	2	.	.	.
20165	1077	3	]	]	-RRB-
20165	1078	1	This	this	DT
20165	1078	2	is	be	VBZ
20165	1078	3	to	to	IN
20165	1078	4	some	some	DT
20165	1078	5	extent	extent	NN
20165	1078	6	the	the	DT
20165	1078	7	reverse	reverse	NN
20165	1078	8	of	of	IN
20165	1078	9	the	the	DT
20165	1078	10	previous	previous	JJ
20165	1078	11	problem	problem	NN
20165	1078	12	.	.	.
20165	1079	1	It	-PRON-	PRP
20165	1079	2	also	also	RB
20165	1079	3	shows	show	VBZ
20165	1079	4	how	how	WRB
20165	1079	5	the	the	DT
20165	1079	6	long	long	JJ
20165	1079	7	vanishing	vanishing	NN
20165	1079	8	point	point	NN
20165	1079	9	can	can	MD
20165	1079	10	be	be	VB
20165	1079	11	dispensed	dispense	VBN
20165	1079	12	with	with	IN
20165	1079	13	,	,	,
20165	1079	14	and	and	CC
20165	1079	15	the	the	DT
20165	1079	16	perspective	perspective	NN
20165	1079	17	drawing	drawing	NN
20165	1079	18	brought	bring	VBN
20165	1079	19	within	within	IN
20165	1079	20	the	the	DT
20165	1079	21	picture	picture	NN
20165	1079	22	.	.	.
20165	1080	1	LXXII	LXXII	NNP
20165	1080	2	FURTHER	further	JJ
20165	1080	3	EXAMPLE	EXAMPLE	NNS
20165	1080	4	OF	of	IN
20165	1080	5	HOW	how	WRB
20165	1080	6	TO	to	TO
20165	1080	7	DIVIDE	DIVIDE	NNP
20165	1080	8	A	a	DT
20165	1080	9	GIVEN	given	NN
20165	1080	10	OBLIQUE	OBLIQUE	VBN
20165	1080	11	SQUARE	square	NN
20165	1080	12	INTO	into	VBP
20165	1080	13	A	a	DT
20165	1080	14	GIVEN	give	VBN
20165	1080	15	NUMBER	number	NN
20165	1080	16	OF	of	IN
20165	1080	17	EQUAL	EQUAL	NNP
20165	1080	18	SQUARES	SQUARES	NNP
20165	1080	19	,	,	,
20165	1080	20	SAY	SAY	NNP
20165	1080	21	TWENTY	TWENTY	NNP
20165	1080	22	-	-	HYPH
20165	1080	23	FIVE	five	CD
20165	1080	24	Having	have	VBG
20165	1080	25	drawn	draw	VBN
20165	1080	26	the	the	DT
20165	1080	27	square	square	NN
20165	1080	28	_	_	NNP
20165	1080	29	ABCD	ABCD	NNP
20165	1080	30	_	_	NNP
20165	1080	31	,	,	,
20165	1080	32	which	which	WDT
20165	1080	33	is	be	VBZ
20165	1080	34	enclosed	enclose	VBN
20165	1080	35	,	,	,
20165	1080	36	as	as	IN
20165	1080	37	will	will	MD
20165	1080	38	be	be	VB
20165	1080	39	seen	see	VBN
20165	1080	40	,	,	,
20165	1080	41	in	in	IN
20165	1080	42	a	a	DT
20165	1080	43	dotted	dotted	JJ
20165	1080	44	square	square	NN
20165	1080	45	in	in	IN
20165	1080	46	parallel	parallel	JJ
20165	1080	47	perspective	perspective	NN
20165	1080	48	,	,	,
20165	1080	49	I	-PRON-	PRP
20165	1080	50	divide	divide	VBP
20165	1080	51	the	the	DT
20165	1080	52	line	line	NN
20165	1080	53	_	_	NNP
20165	1080	54	EA	EA	NNP
20165	1080	55	_	_	NNP
20165	1080	56	into	into	IN
20165	1080	57	five	five	CD
20165	1080	58	equal	equal	JJ
20165	1080	59	parts	part	NNS
20165	1080	60	instead	instead	RB
20165	1080	61	of	of	IN
20165	1080	62	four	four	CD
20165	1080	63	(	(	-LRB-
20165	1080	64	Fig	fig	NN
20165	1080	65	.	.	.
20165	1081	1	135	135	CD
20165	1081	2	)	)	-RRB-
20165	1081	3	,	,	,
20165	1081	4	and	and	CC
20165	1081	5	have	have	VBP
20165	1081	6	made	make	VBN
20165	1081	7	use	use	NN
20165	1081	8	of	of	IN
20165	1081	9	the	the	DT
20165	1081	10	device	device	NN
20165	1081	11	for	for	IN
20165	1081	12	that	that	DT
20165	1081	13	purpose	purpose	NN
20165	1081	14	by	by	IN
20165	1081	15	measuring	measure	VBG
20165	1081	16	off	off	RP
20165	1081	17	the	the	DT
20165	1081	18	required	required	JJ
20165	1081	19	number	number	NN
20165	1081	20	on	on	IN
20165	1081	21	line	line	NN
20165	1081	22	_	_	NNP
20165	1081	23	EF	EF	NNP
20165	1081	24	_	_	NNP
20165	1081	25	,	,	,
20165	1081	26	&	&	CC
20165	1081	27	c.	c.	NNP
20165	1081	28	Fig	Fig	NNP
20165	1081	29	.	.	.
20165	1082	1	136	136	CD
20165	1082	2	is	be	VBZ
20165	1082	3	introduced	introduce	VBN
20165	1082	4	here	here	RB
20165	1082	5	simply	simply	RB
20165	1082	6	to	to	TO
20165	1082	7	show	show	VB
20165	1082	8	that	that	IN
20165	1082	9	the	the	DT
20165	1082	10	square	square	NN
20165	1082	11	can	can	MD
20165	1082	12	be	be	VB
20165	1082	13	divided	divide	VBN
20165	1082	14	into	into	IN
20165	1082	15	any	any	DT
20165	1082	16	number	number	NN
20165	1082	17	of	of	IN
20165	1082	18	smaller	small	JJR
20165	1082	19	squares	square	NNS
20165	1082	20	.	.	.
20165	1083	1	Nor	nor	CC
20165	1083	2	need	need	VBP
20165	1083	3	the	the	DT
20165	1083	4	figure	figure	NN
20165	1083	5	be	be	VB
20165	1083	6	necessarily	necessarily	RB
20165	1083	7	a	a	DT
20165	1083	8	square	square	NN
20165	1083	9	;	;	:
20165	1083	10	it	-PRON-	PRP
20165	1083	11	is	be	VBZ
20165	1083	12	just	just	RB
20165	1083	13	as	as	RB
20165	1083	14	easy	easy	JJ
20165	1083	15	to	to	TO
20165	1083	16	make	make	VB
20165	1083	17	it	-PRON-	PRP
20165	1083	18	an	an	DT
20165	1083	19	oblong	oblong	NN
20165	1083	20	,	,	,
20165	1083	21	as	as	IN
20165	1083	22	_	_	NNP
20165	1083	23	ABEF	ABEF	NNP
20165	1083	24	_	_	NNP
20165	1083	25	(	(	-LRB-
20165	1083	26	Fig	Fig	NNP
20165	1083	27	.	.	.
20165	1084	1	136	136	CD
20165	1084	2	)	)	-RRB-
20165	1084	3	;	;	:
20165	1084	4	for	for	IN
20165	1084	5	although	although	IN
20165	1084	6	we	-PRON-	PRP
20165	1084	7	begin	begin	VBP
20165	1084	8	with	with	IN
20165	1084	9	a	a	DT
20165	1084	10	square	square	NN
20165	1084	11	we	-PRON-	PRP
20165	1084	12	can	can	MD
20165	1084	13	extend	extend	VB
20165	1084	14	it	-PRON-	PRP
20165	1084	15	in	in	IN
20165	1084	16	any	any	DT
20165	1084	17	direction	direction	NN
20165	1084	18	we	-PRON-	PRP
20165	1084	19	please	please	VBP
20165	1084	20	,	,	,
20165	1084	21	as	as	IN
20165	1084	22	here	here	RB
20165	1084	23	shown	show	VBN
20165	1084	24	.	.	.
20165	1085	1	[	[	-LRB-
20165	1085	2	Illustration	illustration	NN
20165	1085	3	:	:	:
20165	1085	4	Fig	Fig	NNP
20165	1085	5	.	.	.
20165	1086	1	135	135	CD
20165	1086	2	.	.	.
20165	1086	3	]	]	-RRB-
20165	1087	1	[	[	-LRB-
20165	1087	2	Illustration	illustration	NN
20165	1087	3	:	:	:
20165	1087	4	Fig	Fig	NNP
20165	1087	5	.	.	.
20165	1088	1	136	136	CD
20165	1088	2	.	.	.
20165	1088	3	]	]	-RRB-
20165	1089	1	LXXIII	lxxiii	NN
20165	1089	2	OF	of	IN
20165	1089	3	PARALLELS	parallel	NNS
20165	1089	4	AND	and	CC
20165	1089	5	DIAGONALS	diagonal	NNS
20165	1089	6	[	[	-LRB-
20165	1089	7	Illustration	illustration	NN
20165	1089	8	:	:	:
20165	1089	9	Fig	Fig	NNP
20165	1089	10	.	.	.
20165	1090	1	137	137	CD
20165	1090	2	A.	a.	NN
20165	1090	3	]	]	-RRB-
20165	1091	1	[	[	-LRB-
20165	1091	2	Illustration	illustration	NN
20165	1091	3	:	:	:
20165	1091	4	Fig	Fig	NNP
20165	1091	5	.	.	.
20165	1092	1	137	137	CD
20165	1092	2	B.	B.	NNP
20165	1092	3	]	]	-RRB-
20165	1093	1	[	[	-LRB-
20165	1093	2	Illustration	illustration	NN
20165	1093	3	:	:	:
20165	1093	4	Fig	Fig	NNP
20165	1093	5	.	.	.
20165	1094	1	137	137	CD
20165	1094	2	C.	C.	NNP
20165	1094	3	]	]	-RRB-
20165	1094	4	To	to	TO
20165	1094	5	find	find	VB
20165	1094	6	the	the	DT
20165	1094	7	centre	centre	NN
20165	1094	8	of	of	IN
20165	1094	9	a	a	DT
20165	1094	10	square	square	JJ
20165	1094	11	or	or	CC
20165	1094	12	other	other	JJ
20165	1094	13	rectangular	rectangular	JJ
20165	1094	14	figure	figure	NN
20165	1094	15	we	-PRON-	PRP
20165	1094	16	have	have	VBP
20165	1094	17	but	but	CC
20165	1094	18	to	to	TO
20165	1094	19	draw	draw	VB
20165	1094	20	its	-PRON-	PRP$
20165	1094	21	two	two	CD
20165	1094	22	diagonals	diagonal	NNS
20165	1094	23	,	,	,
20165	1094	24	and	and	CC
20165	1094	25	their	-PRON-	PRP$
20165	1094	26	intersection	intersection	NN
20165	1094	27	will	will	MD
20165	1094	28	give	give	VB
20165	1094	29	us	-PRON-	PRP
20165	1094	30	the	the	DT
20165	1094	31	centre	centre	NN
20165	1094	32	of	of	IN
20165	1094	33	the	the	DT
20165	1094	34	figure	figure	NN
20165	1094	35	(	(	-LRB-
20165	1094	36	see	see	VB
20165	1094	37	137	137	CD
20165	1094	38	A	a	NN
20165	1094	39	)	)	-RRB-
20165	1094	40	.	.	.
20165	1095	1	We	-PRON-	PRP
20165	1095	2	do	do	VBP
20165	1095	3	the	the	DT
20165	1095	4	same	same	JJ
20165	1095	5	with	with	IN
20165	1095	6	perspective	perspective	JJ
20165	1095	7	figures	figure	NNS
20165	1095	8	,	,	,
20165	1095	9	as	as	IN
20165	1095	10	at	at	IN
20165	1095	11	B.	B.	NNP
20165	1096	1	In	in	IN
20165	1096	2	Fig	Fig	NNP
20165	1096	3	.	.	.
20165	1097	1	C	C	NNP
20165	1097	2	is	be	VBZ
20165	1097	3	shown	show	VBN
20165	1097	4	how	how	WRB
20165	1097	5	a	a	DT
20165	1097	6	diagonal	diagonal	JJ
20165	1097	7	,	,	,
20165	1097	8	drawn	draw	VBN
20165	1097	9	from	from	IN
20165	1097	10	one	one	CD
20165	1097	11	angle	angle	NN
20165	1097	12	of	of	IN
20165	1097	13	a	a	DT
20165	1097	14	square	square	NN
20165	1097	15	_	_	NNP
20165	1097	16	B	B	NNP
20165	1097	17	_	_	NNP
20165	1097	18	through	through	IN
20165	1097	19	the	the	DT
20165	1097	20	centre	centre	NN
20165	1097	21	_	_	NNP
20165	1097	22	O	O	NNP
20165	1097	23	_	_	NNP
20165	1097	24	of	of	IN
20165	1097	25	the	the	DT
20165	1097	26	opposite	opposite	JJ
20165	1097	27	side	side	NN
20165	1097	28	of	of	IN
20165	1097	29	the	the	DT
20165	1097	30	square	square	NN
20165	1097	31	,	,	,
20165	1097	32	will	will	MD
20165	1097	33	enable	enable	VB
20165	1097	34	us	-PRON-	PRP
20165	1097	35	to	to	TO
20165	1097	36	find	find	VB
20165	1097	37	a	a	DT
20165	1097	38	second	second	JJ
20165	1097	39	square	square	NN
20165	1097	40	lying	lying	NN
20165	1097	41	between	between	IN
20165	1097	42	the	the	DT
20165	1097	43	same	same	JJ
20165	1097	44	parallels	parallel	NNS
20165	1097	45	,	,	,
20165	1097	46	then	then	RB
20165	1097	47	a	a	DT
20165	1097	48	third	third	JJ
20165	1097	49	,	,	,
20165	1097	50	a	a	DT
20165	1097	51	fourth	fourth	JJ
20165	1097	52	,	,	,
20165	1097	53	and	and	CC
20165	1097	54	so	so	RB
20165	1097	55	on	on	RB
20165	1097	56	.	.	.
20165	1098	1	At	at	IN
20165	1098	2	figure	figure	NN
20165	1098	3	_	_	NNP
20165	1098	4	K	K	NNP
20165	1098	5	_	_	NNP
20165	1098	6	lying	lie	VBG
20165	1098	7	on	on	IN
20165	1098	8	the	the	DT
20165	1098	9	ground	ground	NN
20165	1098	10	,	,	,
20165	1098	11	I	-PRON-	PRP
20165	1098	12	have	have	VBP
20165	1098	13	divided	divide	VBN
20165	1098	14	the	the	DT
20165	1098	15	farther	farther	JJ
20165	1098	16	side	side	NN
20165	1098	17	of	of	IN
20165	1098	18	the	the	DT
20165	1098	19	square	square	NN
20165	1098	20	_	_	NNP
20165	1098	21	mn	mn	NNP
20165	1098	22	_	_	NNP
20165	1098	23	into	into	IN
20165	1098	24	¼	¼	NNP
20165	1098	25	,	,	,
20165	1098	26	1/3	1/3	CD
20165	1098	27	,	,	,
20165	1098	28	½.	½.	NNP
20165	1099	1	If	if	IN
20165	1099	2	I	-PRON-	PRP
20165	1099	3	draw	draw	VBP
20165	1099	4	a	a	DT
20165	1099	5	diagonal	diagonal	NN
20165	1099	6	from	from	IN
20165	1099	7	_	_	NNP
20165	1099	8	G	G	NNP
20165	1099	9	_	_	NNP
20165	1099	10	(	(	-LRB-
20165	1099	11	at	at	IN
20165	1099	12	the	the	DT
20165	1099	13	base	base	NN
20165	1099	14	)	)	-RRB-
20165	1099	15	through	through	IN
20165	1099	16	the	the	DT
20165	1099	17	half	half	NN
20165	1099	18	of	of	IN
20165	1099	19	this	this	DT
20165	1099	20	line	line	NN
20165	1099	21	I	-PRON-	PRP
20165	1099	22	cut	cut	VBD
20165	1099	23	off	off	RP
20165	1099	24	on	on	IN
20165	1099	25	_	_	NNP
20165	1099	26	FS	FS	NNP
20165	1099	27	_	_	NNP
20165	1099	28	the	the	DT
20165	1099	29	lengths	length	NNS
20165	1099	30	or	or	CC
20165	1099	31	sides	side	NNS
20165	1099	32	of	of	IN
20165	1099	33	two	two	CD
20165	1099	34	squares	square	NNS
20165	1099	35	;	;	:
20165	1099	36	if	if	IN
20165	1099	37	through	through	IN
20165	1099	38	the	the	DT
20165	1099	39	quarter	quarter	NN
20165	1099	40	I	-PRON-	PRP
20165	1099	41	cut	cut	VBD
20165	1099	42	off	off	RP
20165	1099	43	the	the	DT
20165	1099	44	length	length	NN
20165	1099	45	of	of	IN
20165	1099	46	four	four	CD
20165	1099	47	squares	square	NNS
20165	1099	48	on	on	IN
20165	1099	49	the	the	DT
20165	1099	50	vanishing	vanish	VBG
20165	1099	51	line	line	NN
20165	1099	52	_	_	NNP
20165	1099	53	FS	FS	NNP
20165	1099	54	_	_	NNP
20165	1099	55	,	,	,
20165	1099	56	and	and	CC
20165	1099	57	so	so	RB
20165	1099	58	on	on	RB
20165	1099	59	.	.	.
20165	1100	1	In	in	IN
20165	1100	2	Fig	Fig	NNP
20165	1100	3	.	.	.
20165	1101	1	137	137	CD
20165	1101	2	D	d	NN
20165	1101	3	is	be	VBZ
20165	1101	4	shown	show	VBN
20165	1101	5	how	how	WRB
20165	1101	6	easily	easily	RB
20165	1101	7	any	any	DT
20165	1101	8	number	number	NN
20165	1101	9	of	of	IN
20165	1101	10	objects	object	NNS
20165	1101	11	at	at	IN
20165	1101	12	any	any	DT
20165	1101	13	equal	equal	JJ
20165	1101	14	distances	distance	NNS
20165	1101	15	apart	apart	RB
20165	1101	16	,	,	,
20165	1101	17	such	such	JJ
20165	1101	18	as	as	IN
20165	1101	19	posts	post	NNS
20165	1101	20	,	,	,
20165	1101	21	trees	tree	NNS
20165	1101	22	,	,	,
20165	1101	23	columns	column	NNS
20165	1101	24	,	,	,
20165	1101	25	&	&	CC
20165	1101	26	c.	c.	NNP
20165	1101	27	,	,	,
20165	1101	28	can	can	MD
20165	1101	29	be	be	VB
20165	1101	30	drawn	draw	VBN
20165	1101	31	by	by	IN
20165	1101	32	means	mean	NNS
20165	1101	33	of	of	IN
20165	1101	34	diagonals	diagonal	NNS
20165	1101	35	between	between	IN
20165	1101	36	parallels	parallel	NNS
20165	1101	37	,	,	,
20165	1101	38	guided	guide	VBN
20165	1101	39	by	by	IN
20165	1101	40	a	a	DT
20165	1101	41	central	central	JJ
20165	1101	42	line	line	NN
20165	1101	43	_	_	NNP
20165	1101	44	GS	GS	NNP
20165	1101	45	_	_	NNP
20165	1101	46	.	.	.
20165	1102	1	[	[	-LRB-
20165	1102	2	Illustration	illustration	NN
20165	1102	3	:	:	:
20165	1102	4	Fig	Fig	NNP
20165	1102	5	.	.	.
20165	1103	1	137	137	CD
20165	1103	2	D.	D.	NNP
20165	1103	3	]	]	-RRB-
20165	1103	4	LXXIV	LXXIV	NNP
20165	1103	5	THE	the	DT
20165	1103	6	SQUARE	SQUARE	NNP
20165	1103	7	,	,	,
20165	1103	8	THE	the	DT
20165	1103	9	OBLONG	oblong	NN
20165	1103	10	,	,	,
20165	1103	11	AND	and	CC
20165	1103	12	THEIR	their	NN
20165	1103	13	DIAGONALS	diagonal	NNS
20165	1103	14	[	[	-LRB-
20165	1103	15	Illustration	illustration	NN
20165	1103	16	:	:	:
20165	1103	17	Fig	Fig	NNP
20165	1103	18	.	.	.
20165	1104	1	138	138	CD
20165	1104	2	.	.	.
20165	1104	3	]	]	-RRB-
20165	1105	1	[	[	-LRB-
20165	1105	2	Illustration	illustration	NN
20165	1105	3	:	:	:
20165	1105	4	Fig	Fig	NNP
20165	1105	5	.	.	.
20165	1106	1	139	139	CD
20165	1106	2	.	.	.
20165	1106	3	]	]	-RRB-
20165	1107	1	Having	have	VBG
20165	1107	2	found	find	VBN
20165	1107	3	the	the	DT
20165	1107	4	centre	centre	NN
20165	1107	5	of	of	IN
20165	1107	6	a	a	DT
20165	1107	7	square	square	JJ
20165	1107	8	or	or	CC
20165	1107	9	oblong	oblong	JJ
20165	1107	10	,	,	,
20165	1107	11	such	such	JJ
20165	1107	12	as	as	IN
20165	1107	13	Figs	Figs	NNP
20165	1107	14	.	.	.
20165	1108	1	138	138	CD
20165	1108	2	and	and	CC
20165	1108	3	139	139	CD
20165	1108	4	,	,	,
20165	1108	5	if	if	IN
20165	1108	6	we	-PRON-	PRP
20165	1108	7	draw	draw	VBP
20165	1108	8	a	a	DT
20165	1108	9	third	third	JJ
20165	1108	10	line	line	NN
20165	1108	11	through	through	IN
20165	1108	12	that	that	DT
20165	1108	13	centre	centre	NN
20165	1108	14	at	at	IN
20165	1108	15	a	a	DT
20165	1108	16	given	give	VBN
20165	1108	17	angle	angle	NN
20165	1108	18	and	and	CC
20165	1108	19	then	then	RB
20165	1108	20	at	at	IN
20165	1108	21	each	each	DT
20165	1108	22	of	of	IN
20165	1108	23	its	-PRON-	PRP$
20165	1108	24	extremities	extremity	NNS
20165	1108	25	draw	draw	VBP
20165	1108	26	perpendiculars	perpendicular	NNS
20165	1108	27	_	_	NNP
20165	1108	28	AB	AB	NNP
20165	1108	29	_	_	NNP
20165	1108	30	,	,	,
20165	1108	31	_	_	NNP
20165	1108	32	DC	DC	NNP
20165	1108	33	_	_	NNP
20165	1108	34	,	,	,
20165	1108	35	we	-PRON-	PRP
20165	1108	36	divide	divide	VBP
20165	1108	37	that	that	DT
20165	1108	38	square	square	NN
20165	1108	39	or	or	CC
20165	1108	40	oblong	oblong	JJ
20165	1108	41	into	into	IN
20165	1108	42	three	three	CD
20165	1108	43	parts	part	NNS
20165	1108	44	,	,	,
20165	1108	45	the	the	DT
20165	1108	46	two	two	CD
20165	1108	47	outer	outer	JJ
20165	1108	48	portions	portion	NNS
20165	1108	49	being	be	VBG
20165	1108	50	equal	equal	JJ
20165	1108	51	to	to	IN
20165	1108	52	each	each	DT
20165	1108	53	other	other	JJ
20165	1108	54	,	,	,
20165	1108	55	and	and	CC
20165	1108	56	the	the	DT
20165	1108	57	centre	centre	NN
20165	1108	58	one	one	CD
20165	1108	59	either	either	CC
20165	1108	60	larger	large	JJR
20165	1108	61	or	or	CC
20165	1108	62	smaller	small	JJR
20165	1108	63	as	as	IN
20165	1108	64	desired	desire	VBN
20165	1108	65	;	;	:
20165	1108	66	as	as	IN
20165	1108	67	,	,	,
20165	1108	68	for	for	IN
20165	1108	69	instance	instance	NN
20165	1108	70	,	,	,
20165	1108	71	in	in	IN
20165	1108	72	the	the	DT
20165	1108	73	triumphal	triumphal	NN
20165	1108	74	arch	arch	VBP
20165	1108	75	we	-PRON-	PRP
20165	1108	76	make	make	VBP
20165	1108	77	the	the	DT
20165	1108	78	centre	centre	NN
20165	1108	79	portion	portion	NN
20165	1108	80	larger	large	JJR
20165	1108	81	than	than	IN
20165	1108	82	the	the	DT
20165	1108	83	two	two	CD
20165	1108	84	outer	outer	JJ
20165	1108	85	sides	side	NNS
20165	1108	86	.	.	.
20165	1109	1	When	when	WRB
20165	1109	2	certain	certain	JJ
20165	1109	3	architectural	architectural	JJ
20165	1109	4	details	detail	NNS
20165	1109	5	and	and	CC
20165	1109	6	spaces	space	NNS
20165	1109	7	are	be	VBP
20165	1109	8	to	to	TO
20165	1109	9	be	be	VB
20165	1109	10	put	put	VBN
20165	1109	11	into	into	IN
20165	1109	12	perspective	perspective	NN
20165	1109	13	,	,	,
20165	1109	14	a	a	DT
20165	1109	15	scale	scale	NN
20165	1109	16	such	such	JJ
20165	1109	17	as	as	IN
20165	1109	18	that	that	DT
20165	1109	19	in	in	IN
20165	1109	20	Fig	Fig	NNP
20165	1109	21	.	.	.
20165	1110	1	123	123	CD
20165	1110	2	will	will	MD
20165	1110	3	be	be	VB
20165	1110	4	found	find	VBN
20165	1110	5	of	of	IN
20165	1110	6	great	great	JJ
20165	1110	7	convenience	convenience	NN
20165	1110	8	;	;	:
20165	1110	9	but	but	CC
20165	1110	10	if	if	IN
20165	1110	11	only	only	RB
20165	1110	12	a	a	DT
20165	1110	13	ready	ready	JJ
20165	1110	14	division	division	NN
20165	1110	15	of	of	IN
20165	1110	16	the	the	DT
20165	1110	17	principal	principal	JJ
20165	1110	18	proportions	proportion	NNS
20165	1110	19	is	be	VBZ
20165	1110	20	required	require	VBN
20165	1110	21	,	,	,
20165	1110	22	then	then	RB
20165	1110	23	these	these	DT
20165	1110	24	diagonals	diagonal	NNS
20165	1110	25	will	will	MD
20165	1110	26	be	be	VB
20165	1110	27	found	find	VBN
20165	1110	28	of	of	IN
20165	1110	29	the	the	DT
20165	1110	30	greatest	great	JJS
20165	1110	31	use	use	NN
20165	1110	32	.	.	.
20165	1111	1	LXXV	LXXV	NNP
20165	1111	2	SHOWING	show	VBD
20165	1111	3	THE	the	DT
20165	1111	4	USE	USE	NNP
20165	1111	5	OF	of	IN
20165	1111	6	THE	the	DT
20165	1111	7	SQUARE	SQUARE	NNP
20165	1111	8	AND	and	CC
20165	1111	9	DIAGONALS	diagonal	NNS
20165	1111	10	IN	in	IN
20165	1111	11	DRAWING	drawing	NN
20165	1111	12	DOORWAYS	doorway	NNS
20165	1111	13	,	,	,
20165	1111	14	WINDOWS	windows	JJ
20165	1111	15	,	,	,
20165	1111	16	AND	and	CC
20165	1111	17	OTHER	other	JJ
20165	1111	18	ARCHITECTURAL	ARCHITECTURAL	NNP
20165	1111	19	FEATURES	features	IN
20165	1111	20	This	this	DT
20165	1111	21	example	example	NN
20165	1111	22	is	be	VBZ
20165	1111	23	from	from	IN
20165	1111	24	Serlio	Serlio	NNP
20165	1111	25	's	's	POS
20165	1111	26	_	_	NNP
20165	1111	27	Architecture	Architecture	NNP
20165	1111	28	_	_	NNP
20165	1111	29	(	(	-LRB-
20165	1111	30	1663	1663	CD
20165	1111	31	)	)	-RRB-
20165	1111	32	,	,	,
20165	1111	33	showing	show	VBG
20165	1111	34	what	what	WP
20165	1111	35	excellent	excellent	JJ
20165	1111	36	proportion	proportion	NN
20165	1111	37	can	can	MD
20165	1111	38	be	be	VB
20165	1111	39	obtained	obtain	VBN
20165	1111	40	by	by	IN
20165	1111	41	the	the	DT
20165	1111	42	square	square	NN
20165	1111	43	and	and	CC
20165	1111	44	diagonals	diagonal	NNS
20165	1111	45	.	.	.
20165	1112	1	The	the	DT
20165	1112	2	width	width	NN
20165	1112	3	of	of	IN
20165	1112	4	the	the	DT
20165	1112	5	door	door	NN
20165	1112	6	is	be	VBZ
20165	1112	7	one	one	CD
20165	1112	8	-	-	HYPH
20165	1112	9	third	third	NN
20165	1112	10	of	of	IN
20165	1112	11	the	the	DT
20165	1112	12	base	base	NN
20165	1112	13	of	of	IN
20165	1112	14	square	square	NN
20165	1112	15	,	,	,
20165	1112	16	the	the	DT
20165	1112	17	height	height	NN
20165	1112	18	two	two	CD
20165	1112	19	-	-	HYPH
20165	1112	20	thirds	third	NNS
20165	1112	21	.	.	.
20165	1113	1	As	as	IN
20165	1113	2	a	a	DT
20165	1113	3	further	further	JJ
20165	1113	4	illustration	illustration	NN
20165	1113	5	we	-PRON-	PRP
20165	1113	6	have	have	VBP
20165	1113	7	drawn	draw	VBN
20165	1113	8	the	the	DT
20165	1113	9	same	same	JJ
20165	1113	10	figure	figure	NN
20165	1113	11	in	in	IN
20165	1113	12	perspective	perspective	NN
20165	1113	13	.	.	.
20165	1114	1	[	[	-LRB-
20165	1114	2	Illustration	illustration	NN
20165	1114	3	:	:	:
20165	1114	4	Fig	Fig	NNP
20165	1114	5	.	.	.
20165	1115	1	140	140	CD
20165	1115	2	.	.	.
20165	1115	3	]	]	-RRB-
20165	1116	1	[	[	-LRB-
20165	1116	2	Illustration	illustration	NN
20165	1116	3	:	:	:
20165	1116	4	Fig	Fig	NNP
20165	1116	5	.	.	.
20165	1117	1	141	141	CD
20165	1117	2	.	.	.
20165	1117	3	]	]	-RRB-
20165	1118	1	LXXVI	LXXVI	NNP
20165	1118	2	HOW	how	WRB
20165	1118	3	TO	to	TO
20165	1118	4	MEASURE	measure	VB
20165	1118	5	DEPTHS	depth	NNS
20165	1118	6	BY	by	IN
20165	1118	7	DIAGONALS	diagonal	NNS
20165	1118	8	If	if	IN
20165	1118	9	we	-PRON-	PRP
20165	1118	10	take	take	VBP
20165	1118	11	any	any	DT
20165	1118	12	length	length	NN
20165	1118	13	on	on	IN
20165	1118	14	the	the	DT
20165	1118	15	base	base	NN
20165	1118	16	of	of	IN
20165	1118	17	a	a	DT
20165	1118	18	square	square	NN
20165	1118	19	,	,	,
20165	1118	20	say	say	VB
20165	1118	21	from	from	IN
20165	1118	22	_	_	NNP
20165	1118	23	A	A	NNP
20165	1118	24	_	_	NNP
20165	1118	25	to	to	IN
20165	1118	26	_	_	NNP
20165	1118	27	g	g	NNP
20165	1118	28	_	_	NNP
20165	1118	29	,	,	,
20165	1118	30	and	and	CC
20165	1118	31	from	from	IN
20165	1118	32	_	_	NNP
20165	1118	33	g	g	NNP
20165	1118	34	_	_	NNP
20165	1118	35	raise	raise	VB
20165	1118	36	a	a	DT
20165	1118	37	perpendicular	perpendicular	NN
20165	1118	38	till	till	IN
20165	1118	39	it	-PRON-	PRP
20165	1118	40	cuts	cut	VBZ
20165	1118	41	the	the	DT
20165	1118	42	diagonal	diagonal	JJ
20165	1118	43	_	_	NNP
20165	1118	44	AB	AB	NNP
20165	1118	45	_	_	NNP
20165	1118	46	in	in	IN
20165	1118	47	_	_	NNP
20165	1118	48	O	O	NNP
20165	1118	49	_	_	NNP
20165	1118	50	,	,	,
20165	1118	51	then	then	RB
20165	1118	52	from	from	IN
20165	1118	53	_	_	NNP
20165	1118	54	O	O	NNP
20165	1118	55	_	_	NNP
20165	1118	56	draw	draw	NN
20165	1118	57	horizontal	horizontal	NN
20165	1118	58	_	_	NNP
20165	1118	59	Og	Og	NNP
20165	1118	60	·	·	NFP
20165	1118	61	_	_	NNP
20165	1118	62	,	,	,
20165	1118	63	we	-PRON-	PRP
20165	1118	64	form	form	VBP
20165	1118	65	a	a	DT
20165	1118	66	square	square	JJ
20165	1118	67	AgOg	AgOg	NNP
20165	1118	68	·	·	NFP
20165	1118	69	,	,	,
20165	1118	70	and	and	CC
20165	1118	71	thus	thus	RB
20165	1118	72	measure	measure	VB
20165	1118	73	on	on	IN
20165	1118	74	one	one	CD
20165	1118	75	side	side	NN
20165	1118	76	of	of	IN
20165	1118	77	the	the	DT
20165	1118	78	square	square	NN
20165	1118	79	the	the	DT
20165	1118	80	distance	distance	NN
20165	1118	81	or	or	CC
20165	1118	82	depth	depth	NN
20165	1118	83	_	_	NNP
20165	1118	84	Ag	Ag	NNP
20165	1118	85	·	·	NFP
20165	1118	86	_	_	NNP
20165	1118	87	.	.	.
20165	1119	1	So	so	CC
20165	1119	2	can	can	MD
20165	1119	3	we	-PRON-	PRP
20165	1119	4	measure	measure	VB
20165	1119	5	any	any	DT
20165	1119	6	other	other	JJ
20165	1119	7	length	length	NN
20165	1119	8	,	,	,
20165	1119	9	such	such	JJ
20165	1119	10	as	as	IN
20165	1119	11	_	_	NNP
20165	1119	12	fg	fg	NNP
20165	1119	13	_	_	NNP
20165	1119	14	,	,	,
20165	1119	15	in	in	IN
20165	1119	16	like	like	IN
20165	1119	17	manner	manner	NN
20165	1119	18	.	.	.
20165	1120	1	[	[	-LRB-
20165	1120	2	Illustration	illustration	NN
20165	1120	3	:	:	:
20165	1120	4	Fig	Fig	NNP
20165	1120	5	.	.	.
20165	1121	1	142	142	CD
20165	1121	2	.	.	.
20165	1121	3	]	]	-RRB-
20165	1122	1	[	[	-LRB-
20165	1122	2	Illustration	illustration	NN
20165	1122	3	:	:	:
20165	1122	4	Fig	Fig	NNP
20165	1122	5	.	.	.
20165	1123	1	143	143	CD
20165	1123	2	.	.	.
20165	1123	3	]	]	-RRB-
20165	1124	1	To	to	TO
20165	1124	2	do	do	VB
20165	1124	3	this	this	DT
20165	1124	4	in	in	IN
20165	1124	5	perspective	perspective	NN
20165	1124	6	we	-PRON-	PRP
20165	1124	7	pursue	pursue	VBP
20165	1124	8	precisely	precisely	RB
20165	1124	9	the	the	DT
20165	1124	10	same	same	JJ
20165	1124	11	method	method	NN
20165	1124	12	,	,	,
20165	1124	13	as	as	IN
20165	1124	14	shown	show	VBN
20165	1124	15	in	in	IN
20165	1124	16	this	this	DT
20165	1124	17	figure	figure	NN
20165	1124	18	(	(	-LRB-
20165	1124	19	143	143	CD
20165	1124	20	)	)	-RRB-
20165	1124	21	.	.	.
20165	1125	1	To	to	TO
20165	1125	2	measure	measure	VB
20165	1125	3	a	a	DT
20165	1125	4	length	length	NN
20165	1125	5	_	_	NNP
20165	1125	6	Ag	Ag	NNP
20165	1125	7	_	_	NNP
20165	1125	8	on	on	IN
20165	1125	9	the	the	DT
20165	1125	10	side	side	NN
20165	1125	11	of	of	IN
20165	1125	12	square	square	NN
20165	1125	13	_	_	NNP
20165	1125	14	AC	AC	NNP
20165	1125	15	_	_	NNP
20165	1125	16	,	,	,
20165	1125	17	we	-PRON-	PRP
20165	1125	18	draw	draw	VBP
20165	1125	19	a	a	DT
20165	1125	20	line	line	NN
20165	1125	21	from	from	IN
20165	1125	22	_	_	NNP
20165	1125	23	g	g	NNP
20165	1125	24	_	_	NNP
20165	1125	25	to	to	IN
20165	1125	26	the	the	DT
20165	1125	27	point	point	NN
20165	1125	28	of	of	IN
20165	1125	29	sight	sight	NN
20165	1125	30	_	_	NNP
20165	1125	31	S	S	NNP
20165	1125	32	_	_	NNP
20165	1125	33	,	,	,
20165	1125	34	and	and	CC
20165	1125	35	where	where	WRB
20165	1125	36	it	-PRON-	PRP
20165	1125	37	crosses	cross	VBZ
20165	1125	38	diagonal	diagonal	JJ
20165	1125	39	_	_	NNP
20165	1125	40	AB	AB	NNP
20165	1125	41	_	_	NNP
20165	1125	42	at	at	IN
20165	1125	43	_	_	NNP
20165	1125	44	O	o	UH
20165	1125	45	_	_	NNP
20165	1125	46	we	-PRON-	PRP
20165	1125	47	draw	draw	VBP
20165	1125	48	horizontal	horizontal	JJ
20165	1125	49	_	_	NNP
20165	1125	50	Og	Og	NNP
20165	1125	51	_	_	NNP
20165	1125	52	,	,	,
20165	1125	53	and	and	CC
20165	1125	54	thus	thus	RB
20165	1125	55	find	find	VB
20165	1125	56	the	the	DT
20165	1125	57	required	require	VBN
20165	1125	58	depth	depth	NN
20165	1125	59	_	_	NNP
20165	1125	60	Ag	Ag	NNP
20165	1125	61	_	_	NNP
20165	1125	62	in	in	IN
20165	1125	63	the	the	DT
20165	1125	64	picture	picture	NN
20165	1125	65	.	.	.
20165	1126	1	LXXVII	LXXVII	NNP
20165	1126	2	HOW	how	WRB
20165	1126	3	TO	to	TO
20165	1126	4	MEASURE	measure	VB
20165	1126	5	DISTANCES	distance	NNS
20165	1126	6	BY	by	IN
20165	1126	7	THE	the	DT
20165	1126	8	SQUARE	square	NN
20165	1126	9	AND	and	CC
20165	1126	10	DIAGONAL	DIAGONAL	NNP
20165	1126	11	It	-PRON-	PRP
20165	1126	12	may	may	MD
20165	1126	13	sometimes	sometimes	RB
20165	1126	14	be	be	VB
20165	1126	15	convenient	convenient	JJ
20165	1126	16	to	to	TO
20165	1126	17	have	have	VB
20165	1126	18	a	a	DT
20165	1126	19	ready	ready	JJ
20165	1126	20	method	method	NN
20165	1126	21	by	by	IN
20165	1126	22	which	which	WDT
20165	1126	23	to	to	TO
20165	1126	24	measure	measure	VB
20165	1126	25	the	the	DT
20165	1126	26	width	width	NN
20165	1126	27	and	and	CC
20165	1126	28	length	length	NN
20165	1126	29	of	of	IN
20165	1126	30	objects	object	NNS
20165	1126	31	standing	stand	VBG
20165	1126	32	against	against	IN
20165	1126	33	the	the	DT
20165	1126	34	wall	wall	NN
20165	1126	35	of	of	IN
20165	1126	36	a	a	DT
20165	1126	37	gallery	gallery	NN
20165	1126	38	,	,	,
20165	1126	39	without	without	IN
20165	1126	40	referring	refer	VBG
20165	1126	41	to	to	IN
20165	1126	42	distance	distance	NN
20165	1126	43	-	-	HYPH
20165	1126	44	points	point	NNS
20165	1126	45	,	,	,
20165	1126	46	&	&	CC
20165	1126	47	c.	c.	NNP
20165	1126	48	[	[	-LRB-
20165	1126	49	Illustration	illustration	NN
20165	1126	50	:	:	:
20165	1126	51	Fig	Fig	NNP
20165	1126	52	.	.	.
20165	1127	1	144	144	CD
20165	1127	2	.	.	.
20165	1127	3	]	]	-RRB-
20165	1128	1	In	in	IN
20165	1128	2	Fig	Fig	NNP
20165	1128	3	.	.	.
20165	1129	1	144	144	CD
20165	1129	2	the	the	DT
20165	1129	3	floor	floor	NN
20165	1129	4	is	be	VBZ
20165	1129	5	divided	divide	VBN
20165	1129	6	into	into	IN
20165	1129	7	two	two	CD
20165	1129	8	large	large	JJ
20165	1129	9	squares	square	NNS
20165	1129	10	with	with	IN
20165	1129	11	their	-PRON-	PRP$
20165	1129	12	diagonals	diagonal	NNS
20165	1129	13	.	.	.
20165	1130	1	Suppose	suppose	VB
20165	1130	2	we	-PRON-	PRP
20165	1130	3	wish	wish	VBP
20165	1130	4	to	to	TO
20165	1130	5	draw	draw	VB
20165	1130	6	a	a	DT
20165	1130	7	fireplace	fireplace	NN
20165	1130	8	or	or	CC
20165	1130	9	a	a	DT
20165	1130	10	piece	piece	NN
20165	1130	11	of	of	IN
20165	1130	12	furniture	furniture	NN
20165	1130	13	_	_	NNP
20165	1130	14	K	K	NNP
20165	1130	15	_	_	NNP
20165	1130	16	,	,	,
20165	1130	17	we	-PRON-	PRP
20165	1130	18	measure	measure	VBP
20165	1130	19	its	-PRON-	PRP$
20165	1130	20	base	base	NN
20165	1130	21	_	_	NNP
20165	1130	22	ef	ef	NNP
20165	1130	23	_	_	NNP
20165	1130	24	on	on	IN
20165	1130	25	_	_	NNP
20165	1130	26	AB	AB	NNP
20165	1130	27	_	_	NNP
20165	1130	28	,	,	,
20165	1130	29	as	as	RB
20165	1130	30	far	far	RB
20165	1130	31	from	from	IN
20165	1130	32	_	_	NNP
20165	1130	33	B	B	NNP
20165	1130	34	_	_	NNP
20165	1130	35	as	as	IN
20165	1130	36	we	-PRON-	PRP
20165	1130	37	wish	wish	VBP
20165	1130	38	it	-PRON-	PRP
20165	1130	39	to	to	TO
20165	1130	40	be	be	VB
20165	1130	41	in	in	IN
20165	1130	42	the	the	DT
20165	1130	43	picture	picture	NN
20165	1130	44	;	;	:
20165	1130	45	draw	draw	NNP
20165	1130	46	_	_	NNP
20165	1130	47	eo	eo	NNP
20165	1130	48	_	_	NNP
20165	1130	49	and	and	CC
20165	1130	50	_	_	NNP
20165	1130	51	fo	fo	NNP
20165	1130	52	_	_	NNP
20165	1130	53	to	to	TO
20165	1130	54	point	point	NN
20165	1130	55	of	of	IN
20165	1130	56	sight	sight	NN
20165	1130	57	,	,	,
20165	1130	58	and	and	CC
20165	1130	59	proceed	proceed	VB
20165	1130	60	as	as	IN
20165	1130	61	in	in	IN
20165	1130	62	the	the	DT
20165	1130	63	previous	previous	JJ
20165	1130	64	figure	figure	NN
20165	1130	65	by	by	IN
20165	1130	66	drawing	draw	VBG
20165	1130	67	parallels	parallel	NNS
20165	1130	68	from	from	IN
20165	1130	69	_	_	NNP
20165	1130	70	Oo	Oo	NNP
20165	1130	71	_	_	NNP
20165	1130	72	,	,	,
20165	1130	73	&	&	CC
20165	1130	74	c.	c.	NNP
20165	1130	75	Let	let	VB
20165	1130	76	it	-PRON-	PRP
20165	1130	77	be	be	VB
20165	1130	78	observed	observe	VBN
20165	1130	79	that	that	IN
20165	1130	80	the	the	DT
20165	1130	81	great	great	JJ
20165	1130	82	advantage	advantage	NN
20165	1130	83	of	of	IN
20165	1130	84	this	this	DT
20165	1130	85	method	method	NN
20165	1130	86	is	be	VBZ
20165	1130	87	,	,	,
20165	1130	88	that	that	IN
20165	1130	89	we	-PRON-	PRP
20165	1130	90	can	can	MD
20165	1130	91	use	use	VB
20165	1130	92	it	-PRON-	PRP
20165	1130	93	to	to	TO
20165	1130	94	measure	measure	VB
20165	1130	95	such	such	JJ
20165	1130	96	distant	distant	JJ
20165	1130	97	objects	object	NNS
20165	1130	98	as	as	IN
20165	1130	99	_	_	NNP
20165	1130	100	XY	XY	NNP
20165	1130	101	_	_	NNP
20165	1130	102	just	just	RB
20165	1130	103	as	as	RB
20165	1130	104	easily	easily	RB
20165	1130	105	as	as	IN
20165	1130	106	those	those	DT
20165	1130	107	near	near	JJ
20165	1130	108	to	to	IN
20165	1130	109	us	-PRON-	PRP
20165	1130	110	.	.	.
20165	1131	1	There	there	EX
20165	1131	2	is	be	VBZ
20165	1131	3	,	,	,
20165	1131	4	however	however	RB
20165	1131	5	,	,	,
20165	1131	6	a	a	DT
20165	1131	7	still	still	RB
20165	1131	8	further	further	JJ
20165	1131	9	advantage	advantage	NN
20165	1131	10	arising	arise	VBG
20165	1131	11	from	from	IN
20165	1131	12	it	-PRON-	PRP
20165	1131	13	,	,	,
20165	1131	14	and	and	CC
20165	1131	15	that	that	DT
20165	1131	16	is	be	VBZ
20165	1131	17	that	that	IN
20165	1131	18	it	-PRON-	PRP
20165	1131	19	introduces	introduce	VBZ
20165	1131	20	us	-PRON-	PRP
20165	1131	21	to	to	IN
20165	1131	22	a	a	DT
20165	1131	23	new	new	JJ
20165	1131	24	and	and	CC
20165	1131	25	simpler	simple	JJR
20165	1131	26	method	method	NN
20165	1131	27	of	of	IN
20165	1131	28	perspective	perspective	NN
20165	1131	29	,	,	,
20165	1131	30	to	to	TO
20165	1131	31	which	which	WDT
20165	1131	32	I	-PRON-	PRP
20165	1131	33	have	have	VBP
20165	1131	34	already	already	RB
20165	1131	35	referred	refer	VBN
20165	1131	36	,	,	,
20165	1131	37	and	and	CC
20165	1131	38	it	-PRON-	PRP
20165	1131	39	will	will	MD
20165	1131	40	,	,	,
20165	1131	41	I	-PRON-	PRP
20165	1131	42	hope	hope	VBP
20165	1131	43	,	,	,
20165	1131	44	be	be	VB
20165	1131	45	found	find	VBN
20165	1131	46	of	of	IN
20165	1131	47	infinite	infinite	JJ
20165	1131	48	use	use	NN
20165	1131	49	to	to	IN
20165	1131	50	the	the	DT
20165	1131	51	artist	artist	NN
20165	1131	52	.	.	.
20165	1132	1	_	_	NNP
20165	1132	2	Note._--As	Note._--As	NNP
20165	1132	3	we	-PRON-	PRP
20165	1132	4	have	have	VBP
20165	1132	5	founded	found	VBN
20165	1132	6	many	many	JJ
20165	1132	7	of	of	IN
20165	1132	8	these	these	DT
20165	1132	9	figures	figure	NNS
20165	1132	10	on	on	IN
20165	1132	11	a	a	DT
20165	1132	12	given	give	VBN
20165	1132	13	square	square	NN
20165	1132	14	in	in	IN
20165	1132	15	angular	angular	JJ
20165	1132	16	perspective	perspective	NN
20165	1132	17	,	,	,
20165	1132	18	it	-PRON-	PRP
20165	1132	19	is	be	VBZ
20165	1132	20	as	as	RB
20165	1132	21	well	well	RB
20165	1132	22	to	to	TO
20165	1132	23	have	have	VB
20165	1132	24	a	a	DT
20165	1132	25	ready	ready	JJ
20165	1132	26	and	and	CC
20165	1132	27	certain	certain	JJ
20165	1132	28	means	mean	NNS
20165	1132	29	of	of	IN
20165	1132	30	drawing	draw	VBG
20165	1132	31	that	that	DT
20165	1132	32	square	square	NN
20165	1132	33	without	without	IN
20165	1132	34	the	the	DT
20165	1132	35	elaborate	elaborate	JJ
20165	1132	36	setting	setting	NN
20165	1132	37	out	out	IN
20165	1132	38	of	of	IN
20165	1132	39	a	a	DT
20165	1132	40	geometrical	geometrical	JJ
20165	1132	41	plan	plan	NN
20165	1132	42	,	,	,
20165	1132	43	as	as	IN
20165	1132	44	in	in	IN
20165	1132	45	the	the	DT
20165	1132	46	first	first	JJ
20165	1132	47	method	method	NN
20165	1132	48	,	,	,
20165	1132	49	or	or	CC
20165	1132	50	the	the	DT
20165	1132	51	more	more	RBR
20165	1132	52	cumbersome	cumbersome	JJ
20165	1132	53	and	and	CC
20165	1132	54	extended	extended	JJ
20165	1132	55	system	system	NN
20165	1132	56	of	of	IN
20165	1132	57	the	the	DT
20165	1132	58	second	second	JJ
20165	1132	59	method	method	NN
20165	1132	60	.	.	.
20165	1133	1	I	-PRON-	PRP
20165	1133	2	shall	shall	MD
20165	1133	3	therefore	therefore	RB
20165	1133	4	show	show	VB
20165	1133	5	you	-PRON-	PRP
20165	1133	6	another	another	DT
20165	1133	7	method	method	NN
20165	1133	8	equally	equally	RB
20165	1133	9	correct	correct	JJ
20165	1133	10	,	,	,
20165	1133	11	but	but	CC
20165	1133	12	much	much	RB
20165	1133	13	simpler	simple	JJR
20165	1133	14	than	than	IN
20165	1133	15	either	either	RB
20165	1133	16	,	,	,
20165	1133	17	which	which	WDT
20165	1133	18	I	-PRON-	PRP
20165	1133	19	have	have	VBP
20165	1133	20	invented	invent	VBN
20165	1133	21	for	for	IN
20165	1133	22	our	-PRON-	PRP$
20165	1133	23	use	use	NN
20165	1133	24	,	,	,
20165	1133	25	and	and	CC
20165	1133	26	which	which	WDT
20165	1133	27	indeed	indeed	RB
20165	1133	28	forms	form	VBZ
20165	1133	29	one	one	CD
20165	1133	30	of	of	IN
20165	1133	31	the	the	DT
20165	1133	32	chief	chief	JJ
20165	1133	33	features	feature	NNS
20165	1133	34	of	of	IN
20165	1133	35	this	this	DT
20165	1133	36	book	book	NN
20165	1133	37	.	.	.
20165	1134	1	LXXVIII	LXXVIII	NNP
20165	1134	2	HOW	how	WRB
20165	1134	3	BY	by	IN
20165	1134	4	MEANS	mean	NNS
20165	1134	5	OF	of	IN
20165	1134	6	THE	the	DT
20165	1134	7	SQUARE	SQUARE	NNP
20165	1134	8	AND	and	CC
20165	1134	9	DIAGONAL	diagonal	JJ
20165	1134	10	WE	we	PRP
20165	1134	11	CAN	CAN	MD
20165	1134	12	DETERMINE	determine	VB
20165	1134	13	THE	the	DT
20165	1134	14	POSITION	position	NN
20165	1134	15	OF	of	IN
20165	1134	16	POINTS	POINTS	NNP
20165	1134	17	IN	in	IN
20165	1134	18	SPACE	space	NN
20165	1134	19	Apart	apart	RB
20165	1134	20	from	from	IN
20165	1134	21	the	the	DT
20165	1134	22	aid	aid	NN
20165	1134	23	that	that	WDT
20165	1134	24	perspective	perspective	NN
20165	1134	25	affords	afford	VBZ
20165	1134	26	the	the	DT
20165	1134	27	draughtsman	draughtsman	NN
20165	1134	28	,	,	,
20165	1134	29	there	there	EX
20165	1134	30	is	be	VBZ
20165	1134	31	a	a	DT
20165	1134	32	further	further	JJ
20165	1134	33	value	value	NN
20165	1134	34	in	in	IN
20165	1134	35	it	-PRON-	PRP
20165	1134	36	,	,	,
20165	1134	37	in	in	IN
20165	1134	38	that	that	IN
20165	1134	39	it	-PRON-	PRP
20165	1134	40	teaches	teach	VBZ
20165	1134	41	us	-PRON-	PRP
20165	1134	42	almost	almost	RB
20165	1134	43	a	a	DT
20165	1134	44	new	new	JJ
20165	1134	45	science	science	NN
20165	1134	46	,	,	,
20165	1134	47	which	which	WDT
20165	1134	48	we	-PRON-	PRP
20165	1134	49	might	may	MD
20165	1134	50	call	call	VB
20165	1134	51	the	the	DT
20165	1134	52	mystery	mystery	NN
20165	1134	53	of	of	IN
20165	1134	54	aspect	aspect	NN
20165	1134	55	,	,	,
20165	1134	56	and	and	CC
20165	1134	57	how	how	WRB
20165	1134	58	it	-PRON-	PRP
20165	1134	59	is	be	VBZ
20165	1134	60	that	that	IN
20165	1134	61	the	the	DT
20165	1134	62	objects	object	NNS
20165	1134	63	around	around	IN
20165	1134	64	us	-PRON-	PRP
20165	1134	65	take	take	VBP
20165	1134	66	so	so	RB
20165	1134	67	many	many	JJ
20165	1134	68	different	different	JJ
20165	1134	69	forms	form	NNS
20165	1134	70	,	,	,
20165	1134	71	or	or	CC
20165	1134	72	rather	rather	RB
20165	1134	73	appearances	appearance	NNS
20165	1134	74	,	,	,
20165	1134	75	although	although	IN
20165	1134	76	they	-PRON-	PRP
20165	1134	77	themselves	-PRON-	PRP
20165	1134	78	remain	remain	VBP
20165	1134	79	the	the	DT
20165	1134	80	same	same	JJ
20165	1134	81	.	.	.
20165	1135	1	And	and	CC
20165	1135	2	also	also	RB
20165	1135	3	that	that	IN
20165	1135	4	it	-PRON-	PRP
20165	1135	5	enables	enable	VBZ
20165	1135	6	us	-PRON-	PRP
20165	1135	7	,	,	,
20165	1135	8	with	with	IN
20165	1135	9	,	,	,
20165	1135	10	I	-PRON-	PRP
20165	1135	11	think	think	VBP
20165	1135	12	,	,	,
20165	1135	13	great	great	JJ
20165	1135	14	pleasure	pleasure	NN
20165	1135	15	to	to	IN
20165	1135	16	ourselves	-PRON-	PRP
20165	1135	17	,	,	,
20165	1135	18	to	to	IN
20165	1135	19	fathom	fathom	NN
20165	1135	20	space	space	NN
20165	1135	21	,	,	,
20165	1135	22	to	to	TO
20165	1135	23	work	work	VB
20165	1135	24	out	out	RP
20165	1135	25	difficult	difficult	JJ
20165	1135	26	problems	problem	NNS
20165	1135	27	by	by	IN
20165	1135	28	simple	simple	JJ
20165	1135	29	reasoning	reasoning	NN
20165	1135	30	,	,	,
20165	1135	31	and	and	CC
20165	1135	32	to	to	TO
20165	1135	33	exercise	exercise	VB
20165	1135	34	those	those	DT
20165	1135	35	inventive	inventive	JJ
20165	1135	36	and	and	CC
20165	1135	37	critical	critical	JJ
20165	1135	38	faculties	faculty	NNS
20165	1135	39	which	which	WDT
20165	1135	40	give	give	VBP
20165	1135	41	strength	strength	NN
20165	1135	42	and	and	CC
20165	1135	43	enjoyment	enjoyment	NN
20165	1135	44	to	to	IN
20165	1135	45	mental	mental	JJ
20165	1135	46	life	life	NN
20165	1135	47	.	.	.
20165	1136	1	And	and	CC
20165	1136	2	now	now	RB
20165	1136	3	,	,	,
20165	1136	4	after	after	IN
20165	1136	5	this	this	DT
20165	1136	6	brief	brief	JJ
20165	1136	7	excursion	excursion	NN
20165	1136	8	into	into	IN
20165	1136	9	philosophy	philosophy	NN
20165	1136	10	,	,	,
20165	1136	11	let	let	VB
20165	1136	12	us	-PRON-	PRP
20165	1136	13	come	come	VB
20165	1136	14	down	down	RP
20165	1136	15	to	to	IN
20165	1136	16	the	the	DT
20165	1136	17	simple	simple	JJ
20165	1136	18	question	question	NN
20165	1136	19	of	of	IN
20165	1136	20	the	the	DT
20165	1136	21	perspective	perspective	NN
20165	1136	22	of	of	IN
20165	1136	23	a	a	DT
20165	1136	24	point	point	NN
20165	1136	25	.	.	.
20165	1137	1	[	[	-LRB-
20165	1137	2	Illustration	illustration	NN
20165	1137	3	:	:	:
20165	1137	4	Fig	Fig	NNP
20165	1137	5	.	.	.
20165	1138	1	145	145	CD
20165	1138	2	.	.	.
20165	1138	3	]	]	-RRB-
20165	1139	1	[	[	-LRB-
20165	1139	2	Illustration	illustration	NN
20165	1139	3	:	:	:
20165	1139	4	Fig	Fig	NNP
20165	1139	5	.	.	.
20165	1140	1	146	146	CD
20165	1140	2	.	.	.
20165	1140	3	]	]	-RRB-
20165	1141	1	Here	here	RB
20165	1141	2	,	,	,
20165	1141	3	for	for	IN
20165	1141	4	instance	instance	NN
20165	1141	5	,	,	,
20165	1141	6	are	be	VBP
20165	1141	7	two	two	CD
20165	1141	8	aspects	aspect	NNS
20165	1141	9	of	of	IN
20165	1141	10	the	the	DT
20165	1141	11	same	same	JJ
20165	1141	12	thing	thing	NN
20165	1141	13	:	:	:
20165	1141	14	the	the	DT
20165	1141	15	geometrical	geometrical	JJ
20165	1141	16	square	square	NN
20165	1141	17	_	_	NNP
20165	1141	18	A	A	NNP
20165	1141	19	_	_	NNP
20165	1141	20	,	,	,
20165	1141	21	which	which	WDT
20165	1141	22	is	be	VBZ
20165	1141	23	facing	face	VBG
20165	1141	24	us	-PRON-	PRP
20165	1141	25	,	,	,
20165	1141	26	and	and	CC
20165	1141	27	the	the	DT
20165	1141	28	perspective	perspective	JJ
20165	1141	29	square	square	NN
20165	1141	30	_	_	NNP
20165	1141	31	B	B	NNP
20165	1141	32	_	_	NNP
20165	1141	33	,	,	,
20165	1141	34	which	which	WDT
20165	1141	35	we	-PRON-	PRP
20165	1141	36	suppose	suppose	VBP
20165	1141	37	to	to	TO
20165	1141	38	lie	lie	VB
20165	1141	39	flat	flat	RB
20165	1141	40	on	on	IN
20165	1141	41	the	the	DT
20165	1141	42	table	table	NN
20165	1141	43	,	,	,
20165	1141	44	or	or	CC
20165	1141	45	rather	rather	RB
20165	1141	46	on	on	IN
20165	1141	47	the	the	DT
20165	1141	48	perspective	perspective	JJ
20165	1141	49	plane	plane	NN
20165	1141	50	.	.	.
20165	1142	1	Line	Line	NNP
20165	1142	2	_	_	NNP
20165	1142	3	A·C	A·C	NNP
20165	1142	4	·	·	NFP
20165	1142	5	_	_	NNP
20165	1142	6	is	be	VBZ
20165	1142	7	the	the	DT
20165	1142	8	perspective	perspective	NN
20165	1142	9	of	of	IN
20165	1142	10	line	line	NN
20165	1142	11	_	_	NNP
20165	1142	12	AC	AC	NNP
20165	1142	13	_	_	NNP
20165	1142	14	.	.	.
20165	1143	1	On	on	IN
20165	1143	2	the	the	DT
20165	1143	3	geometrical	geometrical	JJ
20165	1143	4	square	square	NN
20165	1143	5	we	-PRON-	PRP
20165	1143	6	can	can	MD
20165	1143	7	make	make	VB
20165	1143	8	what	what	WDT
20165	1143	9	measurements	measurement	NNS
20165	1143	10	we	-PRON-	PRP
20165	1143	11	please	please	VBP
20165	1143	12	with	with	IN
20165	1143	13	the	the	DT
20165	1143	14	compasses	compass	NNS
20165	1143	15	,	,	,
20165	1143	16	but	but	CC
20165	1143	17	on	on	IN
20165	1143	18	the	the	DT
20165	1143	19	perspective	perspective	JJ
20165	1143	20	square	square	NN
20165	1143	21	_	_	NNP
20165	1143	22	B	B	NNP
20165	1143	23	·	·	NFP
20165	1143	24	_	_	NNP
20165	1143	25	the	the	DT
20165	1143	26	only	only	JJ
20165	1143	27	line	line	NN
20165	1143	28	we	-PRON-	PRP
20165	1143	29	can	can	MD
20165	1143	30	actually	actually	RB
20165	1143	31	measure	measure	VB
20165	1143	32	is	be	VBZ
20165	1143	33	the	the	DT
20165	1143	34	base	base	NN
20165	1143	35	line	line	NN
20165	1143	36	.	.	.
20165	1144	1	In	in	IN
20165	1144	2	both	both	DT
20165	1144	3	figures	figure	NNS
20165	1144	4	this	this	DT
20165	1144	5	base	base	NN
20165	1144	6	line	line	NN
20165	1144	7	is	be	VBZ
20165	1144	8	the	the	DT
20165	1144	9	same	same	JJ
20165	1144	10	length	length	NN
20165	1144	11	.	.	.
20165	1145	1	Suppose	suppose	VB
20165	1145	2	we	-PRON-	PRP
20165	1145	3	want	want	VBP
20165	1145	4	to	to	TO
20165	1145	5	find	find	VB
20165	1145	6	the	the	DT
20165	1145	7	perspective	perspective	NN
20165	1145	8	of	of	IN
20165	1145	9	point	point	NN
20165	1145	10	_	_	NNP
20165	1145	11	P	P	NNP
20165	1145	12	_	_	NNP
20165	1145	13	(	(	-LRB-
20165	1145	14	Fig	fig	NN
20165	1145	15	.	.	.
20165	1146	1	146	146	LS
20165	1146	2	)	)	-RRB-
20165	1146	3	,	,	,
20165	1146	4	we	-PRON-	PRP
20165	1146	5	make	make	VBP
20165	1146	6	use	use	NN
20165	1146	7	of	of	IN
20165	1146	8	the	the	DT
20165	1146	9	diagonal	diagonal	JJ
20165	1146	10	_	_	NNP
20165	1146	11	CA	CA	NNP
20165	1146	12	_	_	NNP
20165	1146	13	.	.	.
20165	1147	1	From	from	IN
20165	1147	2	_	_	NNP
20165	1147	3	P	P	NNP
20165	1147	4	_	_	NNP
20165	1147	5	in	in	IN
20165	1147	6	the	the	DT
20165	1147	7	geometrical	geometrical	JJ
20165	1147	8	square	square	NN
20165	1147	9	draw	draw	NN
20165	1147	10	_	_	NNP
20165	1147	11	PO	PO	NNP
20165	1147	12	_	_	NNP
20165	1147	13	to	to	TO
20165	1147	14	meet	meet	VB
20165	1147	15	the	the	DT
20165	1147	16	diagonal	diagonal	JJ
20165	1147	17	in	in	IN
20165	1147	18	_	_	NNP
20165	1147	19	O	O	NNP
20165	1147	20	_	_	NNP
20165	1147	21	;	;	:
20165	1147	22	through	through	IN
20165	1147	23	_	_	NNP
20165	1147	24	O	O	NNP
20165	1147	25	_	_	NNP
20165	1147	26	draw	draw	NN
20165	1147	27	perpendicular	perpendicular	JJ
20165	1147	28	_	_	NNP
20165	1147	29	fe	fe	NNP
20165	1147	30	_	_	NNP
20165	1147	31	;	;	:
20165	1147	32	transfer	transfer	NN
20165	1147	33	length	length	NN
20165	1147	34	_	_	NNP
20165	1147	35	fB	fB	NNP
20165	1147	36	_	_	NNP
20165	1147	37	,	,	,
20165	1147	38	so	so	RB
20165	1147	39	found	find	VBN
20165	1147	40	,	,	,
20165	1147	41	to	to	IN
20165	1147	42	the	the	DT
20165	1147	43	base	base	NN
20165	1147	44	of	of	IN
20165	1147	45	the	the	DT
20165	1147	46	perspective	perspective	NN
20165	1147	47	square	square	NN
20165	1147	48	;	;	:
20165	1147	49	from	from	IN
20165	1147	50	_	_	NNP
20165	1147	51	f	f	NNP
20165	1147	52	_	_	NNP
20165	1147	53	draw	draw	NN
20165	1147	54	_	_	NNP
20165	1147	55	fS	fS	NNP
20165	1147	56	_	_	NNP
20165	1147	57	to	to	IN
20165	1147	58	point	point	NN
20165	1147	59	of	of	IN
20165	1147	60	sight	sight	NN
20165	1147	61	;	;	:
20165	1147	62	where	where	WRB
20165	1147	63	it	-PRON-	PRP
20165	1147	64	cuts	cut	VBZ
20165	1147	65	the	the	DT
20165	1147	66	diagonal	diagonal	JJ
20165	1147	67	in	in	IN
20165	1147	68	_	_	NNP
20165	1147	69	O	O	NNP
20165	1147	70	_	_	NNP
20165	1147	71	,	,	,
20165	1147	72	draw	draw	VB
20165	1147	73	horizontal	horizontal	JJ
20165	1147	74	_	_	NNP
20165	1147	75	OP	OP	NNP
20165	1147	76	·	·	NFP
20165	1147	77	_	_	NNP
20165	1147	78	,	,	,
20165	1147	79	which	which	WDT
20165	1147	80	gives	give	VBZ
20165	1147	81	us	-PRON-	PRP
20165	1147	82	the	the	DT
20165	1147	83	point	point	NN
20165	1147	84	required	require	VBN
20165	1147	85	.	.	.
20165	1148	1	In	in	IN
20165	1148	2	the	the	DT
20165	1148	3	same	same	JJ
20165	1148	4	way	way	NN
20165	1148	5	we	-PRON-	PRP
20165	1148	6	can	can	MD
20165	1148	7	find	find	VB
20165	1148	8	the	the	DT
20165	1148	9	perspective	perspective	NN
20165	1148	10	of	of	IN
20165	1148	11	any	any	DT
20165	1148	12	number	number	NN
20165	1148	13	of	of	IN
20165	1148	14	points	point	NNS
20165	1148	15	on	on	IN
20165	1148	16	any	any	DT
20165	1148	17	side	side	NN
20165	1148	18	of	of	IN
20165	1148	19	the	the	DT
20165	1148	20	square	square	NN
20165	1148	21	.	.	.
20165	1149	1	LXXIX	lxxix	NN
20165	1149	2	PERSPECTIVE	perspective	NN
20165	1149	3	OF	of	IN
20165	1149	4	A	a	DT
20165	1149	5	POINT	POINT	NNP
20165	1149	6	PLACED	placed	NN
20165	1149	7	IN	in	IN
20165	1149	8	ANY	any	DT
20165	1149	9	POSITION	position	NN
20165	1149	10	WITHIN	within	IN
20165	1149	11	THE	the	DT
20165	1149	12	SQUARE	SQUARE	NNP
20165	1149	13	Let	let	VBP
20165	1149	14	the	the	DT
20165	1149	15	point	point	NN
20165	1149	16	_	_	NNP
20165	1149	17	P	P	NNP
20165	1149	18	_	_	NNP
20165	1149	19	be	be	VB
20165	1149	20	the	the	DT
20165	1149	21	one	one	NN
20165	1149	22	we	-PRON-	PRP
20165	1149	23	wish	wish	VBP
20165	1149	24	to	to	TO
20165	1149	25	put	put	VB
20165	1149	26	into	into	IN
20165	1149	27	perspective	perspective	NN
20165	1149	28	.	.	.
20165	1150	1	We	-PRON-	PRP
20165	1150	2	have	have	VBP
20165	1150	3	but	but	CC
20165	1150	4	to	to	TO
20165	1150	5	repeat	repeat	VB
20165	1150	6	the	the	DT
20165	1150	7	process	process	NN
20165	1150	8	of	of	IN
20165	1150	9	the	the	DT
20165	1150	10	previous	previous	JJ
20165	1150	11	problem	problem	NN
20165	1150	12	,	,	,
20165	1150	13	making	make	VBG
20165	1150	14	use	use	NN
20165	1150	15	of	of	IN
20165	1150	16	our	-PRON-	PRP$
20165	1150	17	measurements	measurement	NNS
20165	1150	18	on	on	IN
20165	1150	19	the	the	DT
20165	1150	20	base	base	NN
20165	1150	21	,	,	,
20165	1150	22	the	the	DT
20165	1150	23	diagonals	diagonal	NNS
20165	1150	24	,	,	,
20165	1150	25	&	&	CC
20165	1150	26	c.	c.	NNP
20165	1150	27	[	[	-LRB-
20165	1150	28	Illustration	illustration	NN
20165	1150	29	:	:	:
20165	1150	30	Fig	Fig	NNP
20165	1150	31	.	.	.
20165	1151	1	147	147	CD
20165	1151	2	.	.	.
20165	1151	3	]	]	-RRB-
20165	1152	1	Indeed	indeed	RB
20165	1152	2	these	these	DT
20165	1152	3	figures	figure	NNS
20165	1152	4	are	be	VBP
20165	1152	5	so	so	RB
20165	1152	6	plain	plain	JJ
20165	1152	7	and	and	CC
20165	1152	8	evident	evident	JJ
20165	1152	9	that	that	IN
20165	1152	10	further	further	JJ
20165	1152	11	description	description	NN
20165	1152	12	of	of	IN
20165	1152	13	them	-PRON-	PRP
20165	1152	14	is	be	VBZ
20165	1152	15	hardly	hardly	RB
20165	1152	16	necessary	necessary	JJ
20165	1152	17	,	,	,
20165	1152	18	so	so	CC
20165	1152	19	I	-PRON-	PRP
20165	1152	20	will	will	MD
20165	1152	21	here	here	RB
20165	1152	22	give	give	VB
20165	1152	23	two	two	CD
20165	1152	24	drawings	drawing	NNS
20165	1152	25	of	of	IN
20165	1152	26	triangles	triangle	NNS
20165	1152	27	which	which	WDT
20165	1152	28	explain	explain	VBP
20165	1152	29	themselves	-PRON-	PRP
20165	1152	30	.	.	.
20165	1153	1	To	to	TO
20165	1153	2	put	put	VB
20165	1153	3	a	a	DT
20165	1153	4	triangle	triangle	NN
20165	1153	5	into	into	IN
20165	1153	6	perspective	perspective	NN
20165	1153	7	we	-PRON-	PRP
20165	1153	8	have	have	VBP
20165	1153	9	but	but	CC
20165	1153	10	to	to	TO
20165	1153	11	find	find	VB
20165	1153	12	three	three	CD
20165	1153	13	points	point	NNS
20165	1153	14	,	,	,
20165	1153	15	such	such	JJ
20165	1153	16	as	as	IN
20165	1153	17	_	_	NNP
20165	1153	18	fEP	fep	JJ
20165	1153	19	_	_	NNP
20165	1153	20	,	,	,
20165	1153	21	Fig	Fig	NNP
20165	1153	22	.	.	.
20165	1154	1	148	148	CD
20165	1154	2	A	a	DT
20165	1154	3	,	,	,
20165	1154	4	and	and	CC
20165	1154	5	then	then	RB
20165	1154	6	transfer	transfer	VB
20165	1154	7	these	these	DT
20165	1154	8	points	point	NNS
20165	1154	9	to	to	IN
20165	1154	10	the	the	DT
20165	1154	11	perspective	perspective	JJ
20165	1154	12	square	square	JJ
20165	1154	13	148	148	CD
20165	1154	14	B	B	NNP
20165	1154	15	,	,	,
20165	1154	16	as	as	IN
20165	1154	17	there	there	EX
20165	1154	18	shown	show	VBN
20165	1154	19	,	,	,
20165	1154	20	and	and	CC
20165	1154	21	form	form	VB
20165	1154	22	the	the	DT
20165	1154	23	perspective	perspective	NN
20165	1154	24	triangle	triangle	NN
20165	1154	25	;	;	:
20165	1154	26	but	but	CC
20165	1154	27	these	these	DT
20165	1154	28	figures	figure	NNS
20165	1154	29	explain	explain	VBP
20165	1154	30	themselves	-PRON-	PRP
20165	1154	31	.	.	.
20165	1155	1	Any	any	DT
20165	1155	2	other	other	JJ
20165	1155	3	triangle	triangle	NN
20165	1155	4	or	or	CC
20165	1155	5	rectilineal	rectilineal	NN
20165	1155	6	figure	figure	NN
20165	1155	7	can	can	MD
20165	1155	8	be	be	VB
20165	1155	9	worked	work	VBN
20165	1155	10	out	out	RP
20165	1155	11	in	in	IN
20165	1155	12	the	the	DT
20165	1155	13	same	same	JJ
20165	1155	14	way	way	NN
20165	1155	15	,	,	,
20165	1155	16	which	which	WDT
20165	1155	17	is	be	VBZ
20165	1155	18	not	not	RB
20165	1155	19	only	only	RB
20165	1155	20	the	the	DT
20165	1155	21	simplest	simple	JJS
20165	1155	22	method	method	NN
20165	1155	23	,	,	,
20165	1155	24	but	but	CC
20165	1155	25	it	-PRON-	PRP
20165	1155	26	carries	carry	VBZ
20165	1155	27	its	-PRON-	PRP$
20165	1155	28	mathematical	mathematical	JJ
20165	1155	29	proof	proof	NN
20165	1155	30	with	with	IN
20165	1155	31	it	-PRON-	PRP
20165	1155	32	.	.	.
20165	1156	1	[	[	-LRB-
20165	1156	2	Illustration	illustration	NN
20165	1156	3	:	:	:
20165	1156	4	Fig	Fig	NNP
20165	1156	5	.	.	.
20165	1157	1	148	148	CD
20165	1157	2	A.	a.	NN
20165	1157	3	]	]	-RRB-
20165	1158	1	[	[	-LRB-
20165	1158	2	Illustration	illustration	NN
20165	1158	3	:	:	:
20165	1158	4	Fig	Fig	NNP
20165	1158	5	.	.	.
20165	1159	1	148	148	CD
20165	1159	2	B.	B.	NNP
20165	1159	3	]	]	-RRB-
20165	1160	1	[	[	-LRB-
20165	1160	2	Illustration	illustration	NN
20165	1160	3	:	:	:
20165	1160	4	Fig	Fig	NNP
20165	1160	5	.	.	.
20165	1161	1	149	149	CD
20165	1161	2	A.	a.	NN
20165	1161	3	]	]	-RRB-
20165	1162	1	[	[	-LRB-
20165	1162	2	Illustration	illustration	NN
20165	1162	3	:	:	:
20165	1162	4	Fig	Fig	NNP
20165	1162	5	.	.	.
20165	1163	1	149	149	CD
20165	1163	2	B.	B.	NNP
20165	1163	3	]	]	-RRB-
20165	1164	1	LXXX	LXXX	NNP
20165	1164	2	PERSPECTIVE	perspective	NN
20165	1164	3	OF	of	IN
20165	1164	4	A	a	DT
20165	1164	5	SQUARE	SQUARE	NNP
20165	1164	6	PLACED	PLACED	NNP
20165	1164	7	AT	at	IN
20165	1164	8	AN	an	DT
20165	1164	9	ANGLE	ANGLE	NNP
20165	1164	10	NEW	NEW	NNP
20165	1164	11	METHOD	METHOD	NNP
20165	1164	12	As	as	IN
20165	1164	13	we	-PRON-	PRP
20165	1164	14	have	have	VBP
20165	1164	15	drawn	draw	VBN
20165	1164	16	a	a	DT
20165	1164	17	triangle	triangle	NN
20165	1164	18	in	in	IN
20165	1164	19	a	a	DT
20165	1164	20	square	square	NN
20165	1164	21	so	so	RB
20165	1164	22	can	can	MD
20165	1164	23	we	-PRON-	PRP
20165	1164	24	draw	draw	VB
20165	1164	25	an	an	DT
20165	1164	26	oblique	oblique	JJ
20165	1164	27	square	square	NN
20165	1164	28	in	in	IN
20165	1164	29	a	a	DT
20165	1164	30	parallel	parallel	JJ
20165	1164	31	square	square	NN
20165	1164	32	.	.	.
20165	1165	1	In	in	IN
20165	1165	2	Figure	figure	NN
20165	1165	3	150	150	CD
20165	1165	4	A	a	DT
20165	1165	5	we	-PRON-	PRP
20165	1165	6	have	have	VBP
20165	1165	7	drawn	draw	VBN
20165	1165	8	the	the	DT
20165	1165	9	oblique	oblique	JJ
20165	1165	10	square	square	NN
20165	1165	11	_	_	NNP
20165	1165	12	GEPn	GEPn	NNPS
20165	1165	13	_	_	NNP
20165	1165	14	.	.	.
20165	1166	1	We	-PRON-	PRP
20165	1166	2	find	find	VBP
20165	1166	3	the	the	DT
20165	1166	4	points	point	NNS
20165	1166	5	on	on	IN
20165	1166	6	the	the	DT
20165	1166	7	base	base	NN
20165	1166	8	_	_	NNP
20165	1166	9	Am	Am	NNP
20165	1166	10	_	_	NNP
20165	1166	11	,	,	,
20165	1166	12	as	as	IN
20165	1166	13	in	in	IN
20165	1166	14	the	the	DT
20165	1166	15	previous	previous	JJ
20165	1166	16	figures	figure	NNS
20165	1166	17	,	,	,
20165	1166	18	which	which	WDT
20165	1166	19	enable	enable	VBP
20165	1166	20	us	-PRON-	PRP
20165	1166	21	to	to	TO
20165	1166	22	construct	construct	VB
20165	1166	23	the	the	DT
20165	1166	24	oblique	oblique	NNP
20165	1166	25	perspective	perspective	NN
20165	1166	26	square	square	NNP
20165	1166	27	_	_	NNP
20165	1166	28	n·G·E·P	n·G·E·P	NNP
20165	1166	29	·	·	NFP
20165	1166	30	_	_	XX
20165	1166	31	in	in	IN
20165	1166	32	the	the	DT
20165	1166	33	parallel	parallel	JJ
20165	1166	34	perspective	perspective	NN
20165	1166	35	square	square	NN
20165	1166	36	Fig	Fig	NNP
20165	1166	37	.	.	.
20165	1167	1	150	150	CD
20165	1167	2	B.	B.	NNP
20165	1168	1	But	but	CC
20165	1168	2	it	-PRON-	PRP
20165	1168	3	is	be	VBZ
20165	1168	4	not	not	RB
20165	1168	5	necessary	necessary	JJ
20165	1168	6	to	to	TO
20165	1168	7	construct	construct	VB
20165	1168	8	the	the	DT
20165	1168	9	geometrical	geometrical	JJ
20165	1168	10	figure	figure	NN
20165	1168	11	,	,	,
20165	1168	12	as	as	IN
20165	1168	13	I	-PRON-	PRP
20165	1168	14	will	will	MD
20165	1168	15	show	show	VB
20165	1168	16	presently	presently	RB
20165	1168	17	.	.	.
20165	1169	1	It	-PRON-	PRP
20165	1169	2	is	be	VBZ
20165	1169	3	here	here	RB
20165	1169	4	introduced	introduce	VBN
20165	1169	5	to	to	TO
20165	1169	6	explain	explain	VB
20165	1169	7	the	the	DT
20165	1169	8	method	method	NN
20165	1169	9	.	.	.
20165	1170	1	[	[	-LRB-
20165	1170	2	Illustration	illustration	NN
20165	1170	3	:	:	:
20165	1170	4	Fig	Fig	NNP
20165	1170	5	.	.	.
20165	1171	1	150	150	CD
20165	1171	2	A.	a.	NN
20165	1171	3	]	]	-RRB-
20165	1172	1	[	[	-LRB-
20165	1172	2	Illustration	illustration	NN
20165	1172	3	:	:	:
20165	1172	4	Fig	Fig	NNP
20165	1172	5	.	.	.
20165	1173	1	150	150	CD
20165	1173	2	B.	B.	NNP
20165	1173	3	]	]	-RRB-
20165	1174	1	Fig	fig	NN
20165	1174	2	.	.	.
20165	1175	1	150	150	CD
20165	1175	2	B.	B.	NNP
20165	1176	1	To	to	TO
20165	1176	2	test	test	VB
20165	1176	3	the	the	DT
20165	1176	4	accuracy	accuracy	NN
20165	1176	5	of	of	IN
20165	1176	6	the	the	DT
20165	1176	7	above	above	JJ
20165	1176	8	,	,	,
20165	1176	9	produce	produce	VB
20165	1176	10	sides	side	NNS
20165	1176	11	_	_	NNP
20165	1176	12	G·E	G·E	NNP
20165	1176	13	·	·	NFP
20165	1176	14	_	_	NNP
20165	1176	15	and	and	CC
20165	1176	16	_	_	NNP
20165	1176	17	n·P	n·P	NNP
20165	1176	18	·	·	NFP
20165	1176	19	_	_	XX
20165	1176	20	of	of	IN
20165	1176	21	perspective	perspective	JJ
20165	1176	22	square	square	NN
20165	1176	23	till	till	IN
20165	1176	24	they	-PRON-	PRP
20165	1176	25	touch	touch	VBP
20165	1176	26	the	the	DT
20165	1176	27	horizon	horizon	NN
20165	1176	28	,	,	,
20165	1176	29	where	where	WRB
20165	1176	30	they	-PRON-	PRP
20165	1176	31	will	will	MD
20165	1176	32	meet	meet	VB
20165	1176	33	at	at	IN
20165	1176	34	_	_	NNP
20165	1176	35	V	V	NNP
20165	1176	36	_	_	NNP
20165	1176	37	,	,	,
20165	1176	38	their	-PRON-	PRP$
20165	1176	39	vanishing	vanishing	NN
20165	1176	40	point	point	NN
20165	1176	41	,	,	,
20165	1176	42	and	and	CC
20165	1176	43	again	again	RB
20165	1176	44	produce	produce	VB
20165	1176	45	the	the	DT
20165	1176	46	other	other	JJ
20165	1176	47	sides	side	NNS
20165	1176	48	_	_	IN
20165	1176	49	n·G	n·g	NN
20165	1176	50	·	·	NFP
20165	1176	51	_	_	NNP
20165	1176	52	and	and	CC
20165	1176	53	_	_	NNP
20165	1176	54	P·E	P·E	NNP
20165	1176	55	·	·	NFP
20165	1176	56	_	_	XX
20165	1176	57	till	till	IN
20165	1176	58	they	-PRON-	PRP
20165	1176	59	meet	meet	VBP
20165	1176	60	on	on	IN
20165	1176	61	the	the	DT
20165	1176	62	horizon	horizon	NN
20165	1176	63	at	at	IN
20165	1176	64	the	the	DT
20165	1176	65	other	other	JJ
20165	1176	66	vanishing	vanishing	NN
20165	1176	67	point	point	NN
20165	1176	68	,	,	,
20165	1176	69	which	which	WDT
20165	1176	70	they	-PRON-	PRP
20165	1176	71	must	must	MD
20165	1176	72	do	do	VB
20165	1176	73	if	if	IN
20165	1176	74	the	the	DT
20165	1176	75	figure	figure	NN
20165	1176	76	is	be	VBZ
20165	1176	77	correctly	correctly	RB
20165	1176	78	drawn	draw	VBN
20165	1176	79	.	.	.
20165	1177	1	In	in	IN
20165	1177	2	any	any	DT
20165	1177	3	parallel	parallel	JJ
20165	1177	4	square	square	NN
20165	1177	5	construct	construct	VB
20165	1177	6	an	an	DT
20165	1177	7	oblique	oblique	JJ
20165	1177	8	square	square	NN
20165	1177	9	from	from	IN
20165	1177	10	a	a	DT
20165	1177	11	given	give	VBN
20165	1177	12	point	point	NN
20165	1177	13	--	--	:
20165	1177	14	given	give	VBN
20165	1177	15	the	the	DT
20165	1177	16	parallel	parallel	JJ
20165	1177	17	square	square	NN
20165	1177	18	at	at	IN
20165	1177	19	Fig	Fig	NNP
20165	1177	20	.	.	.
20165	1178	1	150	150	CD
20165	1178	2	B	B	NNP
20165	1178	3	,	,	,
20165	1178	4	and	and	CC
20165	1178	5	given	give	VBN
20165	1178	6	point	point	NN
20165	1178	7	_	_	NNP
20165	1178	8	n	n	NNP
20165	1178	9	·	·	NFP
20165	1178	10	_	_	NN
20165	1178	11	on	on	IN
20165	1178	12	base	base	NN
20165	1178	13	.	.	.
20165	1179	1	Make	make	VB
20165	1179	2	_	_	NNP
20165	1179	3	A·f	a·f	XX
20165	1179	4	·	·	NFP
20165	1179	5	_	_	NNP
20165	1179	6	equal	equal	JJ
20165	1179	7	to	to	IN
20165	1179	8	_	_	NNP
20165	1179	9	n·m	n·m	NNP
20165	1179	10	·	·	NFP
20165	1179	11	_	_	NNP
20165	1179	12	,	,	,
20165	1179	13	draw	draw	VB
20165	1179	14	_	_	NNP
20165	1179	15	f·S	f·S	NNP
20165	1179	16	_	_	NNP
20165	1179	17	and	and	CC
20165	1179	18	_	_	NNP
20165	1179	19	n·S	n·S	NNP
20165	1179	20	_	_	NNP
20165	1179	21	to	to	TO
20165	1179	22	point	point	NN
20165	1179	23	of	of	IN
20165	1179	24	sight	sight	NN
20165	1179	25	.	.	.
20165	1180	1	Where	where	WRB
20165	1180	2	these	these	DT
20165	1180	3	lines	line	NNS
20165	1180	4	cut	cut	VBD
20165	1180	5	the	the	DT
20165	1180	6	diagonal	diagonal	JJ
20165	1180	7	_	_	NNP
20165	1180	8	AC	AC	NNP
20165	1180	9	_	_	NNP
20165	1180	10	draw	draw	VBP
20165	1180	11	horizontals	horizontal	NNS
20165	1180	12	to	to	IN
20165	1180	13	_	_	NNP
20165	1180	14	P	P	NNP
20165	1180	15	·	·	NFP
20165	1180	16	_	_	NNP
20165	1180	17	and	and	CC
20165	1180	18	_	_	NNP
20165	1180	19	G	G	NNP
20165	1180	20	·	·	NFP
20165	1180	21	_	_	NNP
20165	1180	22	,	,	,
20165	1180	23	and	and	CC
20165	1180	24	so	so	RB
20165	1180	25	find	find	VB
20165	1180	26	the	the	DT
20165	1180	27	four	four	CD
20165	1180	28	points	point	NNS
20165	1180	29	_	_	NNP
20165	1180	30	G·E·P·n	G·E·P·n	NNP
20165	1180	31	·	·	NFP
20165	1180	32	_	_	IN
20165	1180	33	through	through	IN
20165	1180	34	which	which	WDT
20165	1180	35	to	to	TO
20165	1180	36	draw	draw	VB
20165	1180	37	the	the	DT
20165	1180	38	square	square	NN
20165	1180	39	.	.	.
20165	1181	1	LXXXI	lxxxi	NN
20165	1181	2	ON	on	IN
20165	1181	3	A	a	DT
20165	1181	4	GIVEN	GIVEN	NNP
20165	1181	5	LINE	LINE	NNP
20165	1181	6	PLACED	PLACED	NNP
20165	1181	7	AT	at	IN
20165	1181	8	AN	an	DT
20165	1181	9	ANGLE	angle	NN
20165	1181	10	TO	to	IN
20165	1181	11	THE	the	DT
20165	1181	12	BASE	BASE	NNP
20165	1181	13	DRAW	DRAW	NNP
20165	1181	14	A	a	DT
20165	1181	15	SQUARE	SQUARE	NNP
20165	1181	16	IN	in	IN
20165	1181	17	ANGULAR	ANGULAR	NNP
20165	1181	18	PERSPECTIVE	perspective	NN
20165	1181	19	,	,	,
20165	1181	20	THE	the	DT
20165	1181	21	POINT	POINT	NNS
20165	1181	22	OF	of	IN
20165	1181	23	SIGHT	SIGHT	NNP
20165	1181	24	,	,	,
20165	1181	25	AND	and	CC
20165	1181	26	DISTANCE	DISTANCE	NNP
20165	1181	27	,	,	,
20165	1181	28	BEING	be	VBG
20165	1181	29	GIVEN	give	VBN
20165	1181	30	.	.	.
20165	1182	1	[	[	-LRB-
20165	1182	2	Illustration	illustration	NN
20165	1182	3	:	:	:
20165	1182	4	Fig	Fig	NNP
20165	1182	5	.	.	.
20165	1183	1	151	151	CD
20165	1183	2	.	.	.
20165	1183	3	]	]	-RRB-
20165	1184	1	Let	let	VB
20165	1184	2	_	_	NNP
20165	1184	3	AB	AB	NNP
20165	1184	4	_	_	NNP
20165	1184	5	be	be	VB
20165	1184	6	the	the	DT
20165	1184	7	given	give	VBN
20165	1184	8	line	line	NN
20165	1184	9	,	,	,
20165	1184	10	_	_	NNP
20165	1184	11	S	S	NNP
20165	1184	12	_	_	IN
20165	1184	13	the	the	DT
20165	1184	14	point	point	NN
20165	1184	15	of	of	IN
20165	1184	16	sight	sight	NN
20165	1184	17	,	,	,
20165	1184	18	and	and	CC
20165	1184	19	_	_	NNP
20165	1184	20	D	D	NNP
20165	1184	21	_	_	NNP
20165	1184	22	the	the	DT
20165	1184	23	distance	distance	NN
20165	1184	24	(	(	-LRB-
20165	1184	25	Fig	fig	NN
20165	1184	26	.	.	.
20165	1185	1	151	151	CD
20165	1185	2	,	,	,
20165	1185	3	1	1	CD
20165	1185	4	)	)	-RRB-
20165	1185	5	.	.	.
20165	1186	1	Through	through	IN
20165	1186	2	_	_	NNP
20165	1186	3	A	A	NNP
20165	1186	4	_	_	NNP
20165	1186	5	draw	draw	NN
20165	1186	6	_	_	NNP
20165	1186	7	SC	SC	NNP
20165	1186	8	_	_	NNP
20165	1186	9	from	from	IN
20165	1186	10	point	point	NN
20165	1186	11	of	of	IN
20165	1186	12	sight	sight	NN
20165	1186	13	to	to	TO
20165	1186	14	base	base	NN
20165	1186	15	(	(	-LRB-
20165	1186	16	Fig	fig	NN
20165	1186	17	.	.	.
20165	1187	1	151	151	CD
20165	1187	2	,	,	,
20165	1187	3	2	2	CD
20165	1187	4	and	and	CC
20165	1187	5	3	3	CD
20165	1187	6	)	)	-RRB-
20165	1187	7	.	.	.
20165	1188	1	From	from	IN
20165	1188	2	_	_	NNP
20165	1188	3	C	C	NNP
20165	1188	4	_	_	NNP
20165	1188	5	draw	draw	NN
20165	1188	6	_	_	NNP
20165	1188	7	CD	CD	NNP
20165	1188	8	_	_	NNP
20165	1188	9	to	to	IN
20165	1188	10	point	point	NN
20165	1188	11	of	of	IN
20165	1188	12	distance	distance	NN
20165	1188	13	.	.	.
20165	1189	1	Draw	Draw	NNP
20165	1189	2	_	_	NNP
20165	1189	3	Ao	Ao	NNP
20165	1189	4	_	_	NNP
20165	1189	5	parallel	parallel	NN
20165	1189	6	to	to	TO
20165	1189	7	base	base	VB
20165	1189	8	till	till	IN
20165	1189	9	it	-PRON-	PRP
20165	1189	10	cuts	cut	VBZ
20165	1189	11	_	_	NNP
20165	1189	12	CD	CD	NNP
20165	1189	13	_	_	NNP
20165	1189	14	at	at	IN
20165	1189	15	_	_	NNP
20165	1189	16	o	o	XX
20165	1189	17	_	_	NNP
20165	1189	18	,	,	,
20165	1189	19	through	through	IN
20165	1189	20	_	_	NNP
20165	1189	21	O	O	NNP
20165	1189	22	_	_	NNP
20165	1189	23	draw	draw	NN
20165	1189	24	_	_	NNP
20165	1189	25	SP	SP	NNP
20165	1189	26	_	_	NNP
20165	1189	27	,	,	,
20165	1189	28	from	from	IN
20165	1189	29	_	_	NNP
20165	1189	30	B	B	NNP
20165	1189	31	_	_	NNP
20165	1189	32	mark	mark	NN
20165	1189	33	off	off	RP
20165	1189	34	_	_	NNP
20165	1189	35	BE	BE	NNP
20165	1189	36	_	_	NNP
20165	1189	37	equal	equal	JJ
20165	1189	38	to	to	IN
20165	1189	39	_	_	NNP
20165	1189	40	CP	CP	NNP
20165	1189	41	_	_	NNP
20165	1189	42	.	.	.
20165	1190	1	From	from	IN
20165	1190	2	_	_	NNP
20165	1190	3	E	E	NNP
20165	1190	4	_	_	NNP
20165	1190	5	draw	draw	NN
20165	1190	6	_	_	NNP
20165	1190	7	ES	ES	NNP
20165	1190	8	_	_	NNP
20165	1190	9	intersecting	intersect	VBG
20165	1190	10	_	_	NNP
20165	1190	11	CD	CD	NNP
20165	1190	12	_	_	NNP
20165	1190	13	at	at	IN
20165	1190	14	_	_	NNP
20165	1190	15	K	K	NNP
20165	1190	16	_	_	NNP
20165	1190	17	,	,	,
20165	1190	18	from	from	IN
20165	1190	19	_	_	NNP
20165	1190	20	K	K	NNP
20165	1190	21	_	_	NNP
20165	1190	22	draw	draw	NN
20165	1190	23	_	_	NNP
20165	1190	24	KM	KM	NNP
20165	1190	25	_	_	NNP
20165	1190	26	,	,	,
20165	1190	27	thus	thus	RB
20165	1190	28	completing	complete	VBG
20165	1190	29	the	the	DT
20165	1190	30	outer	outer	JJ
20165	1190	31	parallel	parallel	NNP
20165	1190	32	square	square	NN
20165	1190	33	.	.	.
20165	1191	1	Through	through	IN
20165	1191	2	_	_	NNP
20165	1191	3	F	F	NNP
20165	1191	4	_	_	NNP
20165	1191	5	,	,	,
20165	1191	6	where	where	WRB
20165	1191	7	_	_	NNP
20165	1191	8	PS	PS	NNP
20165	1191	9	_	_	NNP
20165	1191	10	intersects	intersect	VBZ
20165	1191	11	_	_	NNP
20165	1191	12	MK	MK	NNP
20165	1191	13	_	_	NNP
20165	1191	14	,	,	,
20165	1191	15	draw	draw	VB
20165	1191	16	_	_	NNP
20165	1191	17	AV	AV	NNP
20165	1191	18	_	_	NNP
20165	1191	19	till	till	IN
20165	1191	20	it	-PRON-	PRP
20165	1191	21	cuts	cut	VBZ
20165	1191	22	the	the	DT
20165	1191	23	horizon	horizon	NN
20165	1191	24	in	in	IN
20165	1191	25	_	_	NNP
20165	1191	26	V	V	NNP
20165	1191	27	_	_	NNP
20165	1191	28	,	,	,
20165	1191	29	its	-PRON-	PRP$
20165	1191	30	vanishing	vanishing	NN
20165	1191	31	point	point	NN
20165	1191	32	.	.	.
20165	1192	1	From	from	IN
20165	1192	2	_	_	NNP
20165	1192	3	V	V	NNP
20165	1192	4	_	_	NNP
20165	1192	5	draw	draw	NN
20165	1192	6	_	_	NNP
20165	1192	7	VB	VB	NNP
20165	1192	8	_	_	NNP
20165	1192	9	cutting	cut	VBG
20165	1192	10	side	side	NN
20165	1192	11	_	_	NNP
20165	1192	12	KE	KE	NNP
20165	1192	13	_	_	NNP
20165	1192	14	of	of	IN
20165	1192	15	outer	outer	JJ
20165	1192	16	square	square	NN
20165	1192	17	in	in	IN
20165	1192	18	_	_	NNP
20165	1192	19	G	G	NNP
20165	1192	20	_	_	NNP
20165	1192	21	,	,	,
20165	1192	22	and	and	CC
20165	1192	23	we	-PRON-	PRP
20165	1192	24	have	have	VBP
20165	1192	25	the	the	DT
20165	1192	26	four	four	CD
20165	1192	27	points	point	NNS
20165	1192	28	_	_	NNP
20165	1192	29	AFGB	AFGB	NNP
20165	1192	30	_	_	NNP
20165	1192	31	,	,	,
20165	1192	32	which	which	WDT
20165	1192	33	are	be	VBP
20165	1192	34	the	the	DT
20165	1192	35	four	four	CD
20165	1192	36	angles	angle	NNS
20165	1192	37	of	of	IN
20165	1192	38	the	the	DT
20165	1192	39	square	square	NN
20165	1192	40	required	require	VBN
20165	1192	41	.	.	.
20165	1193	1	Join	join	VB
20165	1193	2	_	_	NNP
20165	1193	3	FG	FG	NNP
20165	1193	4	_	_	NNP
20165	1193	5	,	,	,
20165	1193	6	and	and	CC
20165	1193	7	the	the	DT
20165	1193	8	figure	figure	NN
20165	1193	9	is	be	VBZ
20165	1193	10	complete	complete	JJ
20165	1193	11	.	.	.
20165	1194	1	Any	any	DT
20165	1194	2	other	other	JJ
20165	1194	3	side	side	NN
20165	1194	4	of	of	IN
20165	1194	5	the	the	DT
20165	1194	6	square	square	NN
20165	1194	7	might	may	MD
20165	1194	8	be	be	VB
20165	1194	9	given	give	VBN
20165	1194	10	,	,	,
20165	1194	11	such	such	JJ
20165	1194	12	as	as	IN
20165	1194	13	_	_	NNP
20165	1194	14	AF	AF	NNP
20165	1194	15	_	_	NNP
20165	1194	16	.	.	.
20165	1195	1	First	first	RB
20165	1195	2	through	through	IN
20165	1195	3	_	_	NNP
20165	1195	4	A	A	NNP
20165	1195	5	_	_	NNP
20165	1195	6	and	and	CC
20165	1195	7	_	_	NNP
20165	1195	8	F	F	NNP
20165	1195	9	_	_	NNP
20165	1195	10	draw	draw	NN
20165	1195	11	_	_	NNP
20165	1195	12	SC	SC	NNP
20165	1195	13	_	_	NNP
20165	1195	14	,	,	,
20165	1195	15	_	_	NNP
20165	1195	16	SP	SP	NNP
20165	1195	17	_	_	NNP
20165	1195	18	,	,	,
20165	1195	19	then	then	RB
20165	1195	20	draw	draw	VB
20165	1195	21	_	_	NNP
20165	1195	22	Ao	Ao	NNP
20165	1195	23	_	_	NNP
20165	1195	24	,	,	,
20165	1195	25	then	then	RB
20165	1195	26	through	through	IN
20165	1195	27	_	_	NNP
20165	1195	28	o	o	XX
20165	1195	29	_	_	NNP
20165	1195	30	draw	draw	NN
20165	1195	31	_	_	NNP
20165	1195	32	CD	CD	NNP
20165	1195	33	_	_	NNP
20165	1195	34	.	.	.
20165	1196	1	From	from	IN
20165	1196	2	_	_	NNP
20165	1196	3	C	C	NNP
20165	1196	4	_	_	NNP
20165	1196	5	draw	draw	NN
20165	1196	6	base	base	NN
20165	1196	7	of	of	IN
20165	1196	8	parallel	parallel	JJ
20165	1196	9	square	square	NN
20165	1196	10	_	_	NNP
20165	1196	11	CE	CE	NNP
20165	1196	12	_	_	NNP
20165	1196	13	,	,	,
20165	1196	14	and	and	CC
20165	1196	15	at	at	IN
20165	1196	16	_	_	NNP
20165	1196	17	M	M	NNP
20165	1196	18	_	_	NNP
20165	1196	19	through	through	IN
20165	1196	20	_	_	NNP
20165	1196	21	F	F	NNP
20165	1196	22	_	_	NNP
20165	1196	23	draw	draw	NN
20165	1196	24	_	_	NNP
20165	1196	25	MK	MK	NNP
20165	1196	26	_	_	NNP
20165	1196	27	cutting	cut	VBG
20165	1196	28	diagonal	diagonal	JJ
20165	1196	29	at	at	IN
20165	1196	30	_	_	NNP
20165	1196	31	K	K	NNP
20165	1196	32	_	_	NNP
20165	1196	33	,	,	,
20165	1196	34	which	which	WDT
20165	1196	35	gives	give	VBZ
20165	1196	36	top	top	NN
20165	1196	37	of	of	IN
20165	1196	38	square	square	NN
20165	1196	39	.	.	.
20165	1197	1	Now	now	RB
20165	1197	2	through	through	IN
20165	1197	3	_	_	NNP
20165	1197	4	K	K	NNP
20165	1197	5	_	_	NNP
20165	1197	6	draw	draw	NN
20165	1197	7	_	_	NNP
20165	1197	8	SE	SE	NNP
20165	1197	9	_	_	NNP
20165	1197	10	,	,	,
20165	1197	11	giving	give	VBG
20165	1197	12	_	_	NNP
20165	1197	13	KE	KE	NNP
20165	1197	14	_	_	NNP
20165	1197	15	the	the	DT
20165	1197	16	remaining	remaining	JJ
20165	1197	17	side	side	NN
20165	1197	18	thereof	thereof	RB
20165	1197	19	,	,	,
20165	1197	20	produce	produce	VBP
20165	1197	21	_	_	NNP
20165	1197	22	AF	AF	NNP
20165	1197	23	_	_	NNP
20165	1197	24	to	to	IN
20165	1197	25	_	_	NNP
20165	1197	26	V	V	NNP
20165	1197	27	_	_	NNP
20165	1197	28	,	,	,
20165	1197	29	from	from	IN
20165	1197	30	_	_	NNP
20165	1197	31	V	V	NNP
20165	1197	32	_	_	NNP
20165	1197	33	draw	draw	NN
20165	1197	34	_	_	NNP
20165	1197	35	VB	VB	NNP
20165	1197	36	_	_	NNP
20165	1197	37	.	.	.
20165	1198	1	Join	join	VB
20165	1198	2	_	_	NNP
20165	1198	3	FG	FG	NNP
20165	1198	4	_	_	NNP
20165	1198	5	,	,	,
20165	1198	6	_	_	NNP
20165	1198	7	GB	GB	NNP
20165	1198	8	_	_	NNP
20165	1198	9	,	,	,
20165	1198	10	and	and	CC
20165	1198	11	_	_	NNP
20165	1198	12	BA	BA	NNP
20165	1198	13	_	_	NNP
20165	1198	14	,	,	,
20165	1198	15	and	and	CC
20165	1198	16	the	the	DT
20165	1198	17	square	square	NN
20165	1198	18	required	require	VBN
20165	1198	19	is	be	VBZ
20165	1198	20	complete	complete	JJ
20165	1198	21	.	.	.
20165	1199	1	The	the	DT
20165	1199	2	student	student	NN
20165	1199	3	can	can	MD
20165	1199	4	try	try	VB
20165	1199	5	the	the	DT
20165	1199	6	remaining	remain	VBG
20165	1199	7	two	two	CD
20165	1199	8	sides	side	NNS
20165	1199	9	,	,	,
20165	1199	10	and	and	CC
20165	1199	11	he	-PRON-	PRP
20165	1199	12	will	will	MD
20165	1199	13	find	find	VB
20165	1199	14	they	-PRON-	PRP
20165	1199	15	work	work	VB
20165	1199	16	out	out	RP
20165	1199	17	in	in	IN
20165	1199	18	a	a	DT
20165	1199	19	similar	similar	JJ
20165	1199	20	way	way	NN
20165	1199	21	.	.	.
20165	1200	1	LXXXII	lxxxii	NN
20165	1200	2	HOW	how	WRB
20165	1200	3	TO	to	TO
20165	1200	4	DRAW	draw	VB
20165	1200	5	SOLID	solid	RB
20165	1200	6	FIGURES	figures	NN
20165	1200	7	AT	at	IN
20165	1200	8	ANY	any	DT
20165	1200	9	ANGLE	ANGLE	NNS
20165	1200	10	BY	by	IN
20165	1200	11	THE	the	DT
20165	1200	12	NEW	new	JJ
20165	1200	13	METHOD	method	NN
20165	1200	14	As	as	IN
20165	1200	15	we	-PRON-	PRP
20165	1200	16	can	can	MD
20165	1200	17	draw	draw	VB
20165	1200	18	planes	plane	NNS
20165	1200	19	by	by	IN
20165	1200	20	this	this	DT
20165	1200	21	method	method	NN
20165	1200	22	so	so	RB
20165	1200	23	can	can	MD
20165	1200	24	we	-PRON-	PRP
20165	1200	25	draw	draw	VB
20165	1200	26	solids	solid	NNS
20165	1200	27	,	,	,
20165	1200	28	as	as	IN
20165	1200	29	shown	show	VBN
20165	1200	30	in	in	IN
20165	1200	31	these	these	DT
20165	1200	32	figures	figure	NNS
20165	1200	33	.	.	.
20165	1201	1	The	the	DT
20165	1201	2	heights	height	NNS
20165	1201	3	of	of	IN
20165	1201	4	the	the	DT
20165	1201	5	corners	corner	NNS
20165	1201	6	of	of	IN
20165	1201	7	the	the	DT
20165	1201	8	triangles	triangle	NNS
20165	1201	9	are	be	VBP
20165	1201	10	obtained	obtain	VBN
20165	1201	11	by	by	IN
20165	1201	12	means	mean	NNS
20165	1201	13	of	of	IN
20165	1201	14	the	the	DT
20165	1201	15	vanishing	vanish	VBG
20165	1201	16	scales	scale	NNS
20165	1201	17	_	_	NNP
20165	1201	18	AS	AS	NNP
20165	1201	19	_	_	NNP
20165	1201	20	,	,	,
20165	1201	21	_	_	NNP
20165	1201	22	OS	OS	NNP
20165	1201	23	_	_	NNP
20165	1201	24	,	,	,
20165	1201	25	which	which	WDT
20165	1201	26	have	have	VBP
20165	1201	27	already	already	RB
20165	1201	28	been	be	VBN
20165	1201	29	explained	explain	VBN
20165	1201	30	.	.	.
20165	1202	1	[	[	-LRB-
20165	1202	2	Illustration	illustration	NN
20165	1202	3	:	:	:
20165	1202	4	Fig	Fig	NNP
20165	1202	5	.	.	.
20165	1203	1	152	152	CD
20165	1203	2	.	.	.
20165	1203	3	]	]	-RRB-
20165	1204	1	[	[	-LRB-
20165	1204	2	Illustration	illustration	NN
20165	1204	3	:	:	:
20165	1204	4	Fig	Fig	NNP
20165	1204	5	.	.	.
20165	1205	1	153	153	CD
20165	1205	2	.	.	.
20165	1205	3	]	]	-RRB-
20165	1206	1	In	in	IN
20165	1206	2	the	the	DT
20165	1206	3	same	same	JJ
20165	1206	4	manner	manner	NN
20165	1206	5	we	-PRON-	PRP
20165	1206	6	can	can	MD
20165	1206	7	draw	draw	VB
20165	1206	8	a	a	DT
20165	1206	9	cubic	cubic	JJ
20165	1206	10	figure	figure	NN
20165	1206	11	(	(	-LRB-
20165	1206	12	Fig	fig	NN
20165	1206	13	.	.	.
20165	1207	1	154)--a	154)--a	CD
20165	1207	2	box	box	NNP
20165	1207	3	,	,	,
20165	1207	4	for	for	IN
20165	1207	5	instance	instance	NN
20165	1207	6	--	--	:
20165	1207	7	at	at	IN
20165	1207	8	any	any	DT
20165	1207	9	required	required	JJ
20165	1207	10	angle	angle	NN
20165	1207	11	.	.	.
20165	1208	1	In	in	IN
20165	1208	2	this	this	DT
20165	1208	3	case	case	NN
20165	1208	4	,	,	,
20165	1208	5	besides	besides	IN
20165	1208	6	the	the	DT
20165	1208	7	scale	scale	NN
20165	1208	8	_	_	NNP
20165	1208	9	AS	AS	NNP
20165	1208	10	_	_	NNP
20165	1208	11	,	,	,
20165	1208	12	_	_	NNP
20165	1208	13	OS	OS	NNP
20165	1208	14	_	_	NNP
20165	1208	15	,	,	,
20165	1208	16	we	-PRON-	PRP
20165	1208	17	have	have	VBP
20165	1208	18	made	make	VBN
20165	1208	19	use	use	NN
20165	1208	20	of	of	IN
20165	1208	21	the	the	DT
20165	1208	22	vanishing	vanish	VBG
20165	1208	23	lines	line	NNS
20165	1208	24	_	_	NNP
20165	1208	25	DV	DV	NNP
20165	1208	26	_	_	NNP
20165	1208	27	,	,	,
20165	1208	28	_	_	NNP
20165	1208	29	BV	BV	NNP
20165	1208	30	_	_	NNP
20165	1208	31	,	,	,
20165	1208	32	to	to	TO
20165	1208	33	corroborate	corroborate	VB
20165	1208	34	the	the	DT
20165	1208	35	scale	scale	NN
20165	1208	36	,	,	,
20165	1208	37	but	but	CC
20165	1208	38	they	-PRON-	PRP
20165	1208	39	can	can	MD
20165	1208	40	be	be	VB
20165	1208	41	dispensed	dispense	VBN
20165	1208	42	with	with	IN
20165	1208	43	in	in	IN
20165	1208	44	these	these	DT
20165	1208	45	simple	simple	JJ
20165	1208	46	objects	object	NNS
20165	1208	47	,	,	,
20165	1208	48	or	or	CC
20165	1208	49	we	-PRON-	PRP
20165	1208	50	can	can	MD
20165	1208	51	use	use	VB
20165	1208	52	a	a	DT
20165	1208	53	scale	scale	NN
20165	1208	54	on	on	IN
20165	1208	55	each	each	DT
20165	1208	56	side	side	NN
20165	1208	57	of	of	IN
20165	1208	58	the	the	DT
20165	1208	59	figure	figure	NN
20165	1208	60	as	as	IN
20165	1208	61	_	_	NNP
20165	1208	62	a·o·S	a·o·s	NN
20165	1208	63	_	_	NNP
20165	1208	64	,	,	,
20165	1208	65	should	should	MD
20165	1208	66	both	both	DT
20165	1208	67	vanishing	vanish	VBG
20165	1208	68	points	point	NNS
20165	1208	69	be	be	VB
20165	1208	70	inaccessible	inaccessible	JJ
20165	1208	71	.	.	.
20165	1209	1	Let	let	VB
20165	1209	2	it	-PRON-	PRP
20165	1209	3	be	be	VB
20165	1209	4	noted	note	VBN
20165	1209	5	that	that	IN
20165	1209	6	in	in	IN
20165	1209	7	the	the	DT
20165	1209	8	scale	scale	NN
20165	1209	9	_	_	NNP
20165	1209	10	AOS	AOS	NNP
20165	1209	11	_	_	NNP
20165	1209	12	,	,	,
20165	1209	13	_	_	NNP
20165	1209	14	AO	AO	NNP
20165	1209	15	_	_	NNP
20165	1209	16	is	be	VBZ
20165	1209	17	made	make	VBN
20165	1209	18	equal	equal	JJ
20165	1209	19	to	to	IN
20165	1209	20	_	_	NNP
20165	1209	21	BC	BC	NNP
20165	1209	22	_	_	NNP
20165	1209	23	,	,	,
20165	1209	24	the	the	DT
20165	1209	25	height	height	NN
20165	1209	26	of	of	IN
20165	1209	27	the	the	DT
20165	1209	28	box	box	NN
20165	1209	29	.	.	.
20165	1210	1	[	[	-LRB-
20165	1210	2	Illustration	illustration	NN
20165	1210	3	:	:	:
20165	1210	4	Fig	Fig	NNP
20165	1210	5	.	.	.
20165	1211	1	154	154	CD
20165	1211	2	.	.	.
20165	1211	3	]	]	-RRB-
20165	1212	1	By	by	IN
20165	1212	2	a	a	DT
20165	1212	3	similar	similar	JJ
20165	1212	4	process	process	NN
20165	1212	5	we	-PRON-	PRP
20165	1212	6	draw	draw	VBP
20165	1212	7	these	these	DT
20165	1212	8	two	two	CD
20165	1212	9	figures	figure	NNS
20165	1212	10	,	,	,
20165	1212	11	one	one	CD
20165	1212	12	on	on	IN
20165	1212	13	the	the	DT
20165	1212	14	square	square	NN
20165	1212	15	,	,	,
20165	1212	16	the	the	DT
20165	1212	17	other	other	JJ
20165	1212	18	on	on	IN
20165	1212	19	the	the	DT
20165	1212	20	circle	circle	NN
20165	1212	21	.	.	.
20165	1213	1	[	[	-LRB-
20165	1213	2	Illustration	illustration	NN
20165	1213	3	:	:	:
20165	1213	4	Fig	Fig	NNP
20165	1213	5	.	.	.
20165	1214	1	155	155	CD
20165	1214	2	.	.	.
20165	1214	3	]	]	-RRB-
20165	1215	1	[	[	-LRB-
20165	1215	2	Illustration	illustration	NN
20165	1215	3	:	:	:
20165	1215	4	Fig	Fig	NNP
20165	1215	5	.	.	.
20165	1216	1	156	156	CD
20165	1216	2	.	.	.
20165	1216	3	]	]	-RRB-
20165	1217	1	LXXXIII	LXXXIII	JJR
20165	1217	2	POINTS	point	NNS
20165	1217	3	IN	in	IN
20165	1217	4	SPACE	space	NN
20165	1217	5	The	the	DT
20165	1217	6	chief	chief	JJ
20165	1217	7	use	use	NN
20165	1217	8	of	of	IN
20165	1217	9	these	these	DT
20165	1217	10	figures	figure	NNS
20165	1217	11	is	be	VBZ
20165	1217	12	to	to	TO
20165	1217	13	show	show	VB
20165	1217	14	how	how	WRB
20165	1217	15	by	by	IN
20165	1217	16	means	mean	NNS
20165	1217	17	of	of	IN
20165	1217	18	diagonals	diagonal	NNS
20165	1217	19	,	,	,
20165	1217	20	horizontals	horizontal	NNS
20165	1217	21	,	,	,
20165	1217	22	and	and	CC
20165	1217	23	perpendiculars	perpendicular	NNS
20165	1217	24	almost	almost	RB
20165	1217	25	any	any	DT
20165	1217	26	figure	figure	NN
20165	1217	27	in	in	IN
20165	1217	28	space	space	NN
20165	1217	29	can	can	MD
20165	1217	30	be	be	VB
20165	1217	31	set	set	VBN
20165	1217	32	down	down	RP
20165	1217	33	.	.	.
20165	1218	1	Lines	line	NNS
20165	1218	2	at	at	IN
20165	1218	3	any	any	DT
20165	1218	4	slope	slope	NN
20165	1218	5	and	and	CC
20165	1218	6	at	at	IN
20165	1218	7	any	any	DT
20165	1218	8	angle	angle	NN
20165	1218	9	can	can	MD
20165	1218	10	be	be	VB
20165	1218	11	drawn	draw	VBN
20165	1218	12	by	by	IN
20165	1218	13	this	this	DT
20165	1218	14	descriptive	descriptive	JJ
20165	1218	15	geometry	geometry	NN
20165	1218	16	.	.	.
20165	1219	1	The	the	DT
20165	1219	2	student	student	NN
20165	1219	3	can	can	MD
20165	1219	4	examine	examine	VB
20165	1219	5	these	these	DT
20165	1219	6	figures	figure	NNS
20165	1219	7	for	for	IN
20165	1219	8	himself	-PRON-	PRP
20165	1219	9	,	,	,
20165	1219	10	and	and	CC
20165	1219	11	will	will	MD
20165	1219	12	understand	understand	VB
20165	1219	13	their	-PRON-	PRP$
20165	1219	14	working	work	VBG
20165	1219	15	from	from	IN
20165	1219	16	what	what	WP
20165	1219	17	has	have	VBZ
20165	1219	18	gone	go	VBN
20165	1219	19	before	before	RB
20165	1219	20	.	.	.
20165	1220	1	Here	here	RB
20165	1220	2	(	(	-LRB-
20165	1220	3	Fig	fig	NN
20165	1220	4	.	.	.
20165	1221	1	157	157	CD
20165	1221	2	)	)	-RRB-
20165	1221	3	in	in	IN
20165	1221	4	the	the	DT
20165	1221	5	geometrical	geometrical	JJ
20165	1221	6	square	square	NN
20165	1221	7	we	-PRON-	PRP
20165	1221	8	have	have	VBP
20165	1221	9	a	a	DT
20165	1221	10	vertical	vertical	JJ
20165	1221	11	plane	plane	NN
20165	1221	12	_	_	NNP
20165	1221	13	AabB	AabB	NNP
20165	1221	14	_	_	NNP
20165	1221	15	standing	stand	VBG
20165	1221	16	on	on	IN
20165	1221	17	its	-PRON-	PRP$
20165	1221	18	base	base	NN
20165	1221	19	_	_	NNP
20165	1221	20	AB	AB	NNP
20165	1221	21	_	_	NNP
20165	1221	22	.	.	.
20165	1222	1	We	-PRON-	PRP
20165	1222	2	wish	wish	VBP
20165	1222	3	to	to	TO
20165	1222	4	place	place	VB
20165	1222	5	a	a	DT
20165	1222	6	projection	projection	NN
20165	1222	7	of	of	IN
20165	1222	8	this	this	DT
20165	1222	9	figure	figure	NN
20165	1222	10	at	at	IN
20165	1222	11	a	a	DT
20165	1222	12	certain	certain	JJ
20165	1222	13	distance	distance	NN
20165	1222	14	and	and	CC
20165	1222	15	at	at	IN
20165	1222	16	a	a	DT
20165	1222	17	given	give	VBN
20165	1222	18	angle	angle	NN
20165	1222	19	in	in	IN
20165	1222	20	space	space	NN
20165	1222	21	.	.	.
20165	1223	1	First	first	RB
20165	1223	2	of	of	IN
20165	1223	3	all	all	DT
20165	1223	4	we	-PRON-	PRP
20165	1223	5	transfer	transfer	VBP
20165	1223	6	it	-PRON-	PRP
20165	1223	7	to	to	IN
20165	1223	8	the	the	DT
20165	1223	9	side	side	NN
20165	1223	10	of	of	IN
20165	1223	11	the	the	DT
20165	1223	12	cube	cube	NN
20165	1223	13	,	,	,
20165	1223	14	where	where	WRB
20165	1223	15	it	-PRON-	PRP
20165	1223	16	is	be	VBZ
20165	1223	17	seen	see	VBN
20165	1223	18	in	in	IN
20165	1223	19	perspective	perspective	NN
20165	1223	20	,	,	,
20165	1223	21	whilst	whilst	IN
20165	1223	22	at	at	IN
20165	1223	23	its	-PRON-	PRP$
20165	1223	24	side	side	NN
20165	1223	25	is	be	VBZ
20165	1223	26	another	another	DT
20165	1223	27	perspective	perspective	JJ
20165	1223	28	square	square	NN
20165	1223	29	lying	lie	VBG
20165	1223	30	flat	flat	JJ
20165	1223	31	,	,	,
20165	1223	32	on	on	IN
20165	1223	33	which	which	WDT
20165	1223	34	we	-PRON-	PRP
20165	1223	35	have	have	VBP
20165	1223	36	to	to	TO
20165	1223	37	stand	stand	VB
20165	1223	38	our	-PRON-	PRP$
20165	1223	39	figure	figure	NN
20165	1223	40	.	.	.
20165	1224	1	By	by	IN
20165	1224	2	means	mean	NNS
20165	1224	3	of	of	IN
20165	1224	4	the	the	DT
20165	1224	5	diagonal	diagonal	JJ
20165	1224	6	of	of	IN
20165	1224	7	this	this	DT
20165	1224	8	flat	flat	JJ
20165	1224	9	square	square	NN
20165	1224	10	,	,	,
20165	1224	11	horizontals	horizontal	NNS
20165	1224	12	from	from	IN
20165	1224	13	figure	figure	NN
20165	1224	14	on	on	IN
20165	1224	15	side	side	NN
20165	1224	16	of	of	IN
20165	1224	17	cube	cube	NN
20165	1224	18	,	,	,
20165	1224	19	and	and	CC
20165	1224	20	lines	line	NNS
20165	1224	21	drawn	draw	VBN
20165	1224	22	from	from	IN
20165	1224	23	point	point	NN
20165	1224	24	of	of	IN
20165	1224	25	sight	sight	NN
20165	1224	26	(	(	-LRB-
20165	1224	27	as	as	IN
20165	1224	28	already	already	RB
20165	1224	29	explained	explain	VBN
20165	1224	30	)	)	-RRB-
20165	1224	31	,	,	,
20165	1224	32	we	-PRON-	PRP
20165	1224	33	obtain	obtain	VBP
20165	1224	34	the	the	DT
20165	1224	35	direction	direction	NN
20165	1224	36	of	of	IN
20165	1224	37	base	base	NN
20165	1224	38	line	line	NN
20165	1224	39	_	_	NNP
20165	1224	40	AB	AB	NNP
20165	1224	41	_	_	NNP
20165	1224	42	,	,	,
20165	1224	43	and	and	CC
20165	1224	44	also	also	RB
20165	1224	45	by	by	IN
20165	1224	46	means	mean	NNS
20165	1224	47	of	of	IN
20165	1224	48	lines	line	NNS
20165	1224	49	_	_	NNP
20165	1224	50	aa	aa	NNP
20165	1224	51	·	·	NFP
20165	1224	52	_	_	NNP
20165	1224	53	and	and	CC
20165	1224	54	_	_	NNP
20165	1224	55	bb	bb	NNP
20165	1224	56	·	·	NFP
20165	1224	57	_	_	IN
20165	1224	58	we	-PRON-	PRP
20165	1224	59	obtain	obtain	VBP
20165	1224	60	the	the	DT
20165	1224	61	two	two	CD
20165	1224	62	points	point	NNS
20165	1224	63	in	in	IN
20165	1224	64	space	space	NN
20165	1224	65	_	_	NNP
20165	1224	66	a·b	a·b	NNP
20165	1224	67	·	·	NFP
20165	1224	68	_	_	NNP
20165	1224	69	.	.	.
20165	1225	1	Join	join	VB
20165	1225	2	_	_	NNP
20165	1225	3	Aa	Aa	NNP
20165	1225	4	·	·	NFP
20165	1225	5	_	_	NNP
20165	1225	6	,	,	,
20165	1225	7	_	_	NNP
20165	1225	8	a·b	a·b	NNP
20165	1225	9	·	·	NFP
20165	1225	10	_	_	NNP
20165	1225	11	and	and	CC
20165	1225	12	_	_	NNP
20165	1225	13	Bb	Bb	NNP
20165	1225	14	·	·	NFP
20165	1225	15	_	_	NNP
20165	1225	16	,	,	,
20165	1225	17	and	and	CC
20165	1225	18	we	-PRON-	PRP
20165	1225	19	have	have	VBP
20165	1225	20	the	the	DT
20165	1225	21	projection	projection	NN
20165	1225	22	required	require	VBN
20165	1225	23	,	,	,
20165	1225	24	and	and	CC
20165	1225	25	which	which	WDT
20165	1225	26	may	may	MD
20165	1225	27	be	be	VB
20165	1225	28	said	say	VBN
20165	1225	29	to	to	TO
20165	1225	30	possess	possess	VB
20165	1225	31	the	the	DT
20165	1225	32	third	third	JJ
20165	1225	33	dimension	dimension	NN
20165	1225	34	.	.	.
20165	1226	1	[	[	-LRB-
20165	1226	2	Illustration	illustration	NN
20165	1226	3	:	:	:
20165	1226	4	Fig	Fig	NNP
20165	1226	5	.	.	.
20165	1227	1	157	157	CD
20165	1227	2	.	.	.
20165	1227	3	]	]	-RRB-
20165	1228	1	In	in	IN
20165	1228	2	this	this	DT
20165	1228	3	other	other	JJ
20165	1228	4	case	case	NN
20165	1228	5	(	(	-LRB-
20165	1228	6	Fig	fig	NN
20165	1228	7	.	.	.
20165	1229	1	158	158	LS
20165	1229	2	)	)	-RRB-
20165	1229	3	we	-PRON-	PRP
20165	1229	4	have	have	VBP
20165	1229	5	a	a	DT
20165	1229	6	wedge	wedge	NN
20165	1229	7	-	-	HYPH
20165	1229	8	shaped	shape	VBN
20165	1229	9	figure	figure	NN
20165	1229	10	standing	stand	VBG
20165	1229	11	on	on	IN
20165	1229	12	a	a	DT
20165	1229	13	triangle	triangle	NN
20165	1229	14	placed	place	VBN
20165	1229	15	on	on	IN
20165	1229	16	the	the	DT
20165	1229	17	ground	ground	NN
20165	1229	18	,	,	,
20165	1229	19	as	as	IN
20165	1229	20	in	in	IN
20165	1229	21	the	the	DT
20165	1229	22	previous	previous	JJ
20165	1229	23	figure	figure	NN
20165	1229	24	,	,	,
20165	1229	25	its	-PRON-	PRP$
20165	1229	26	three	three	CD
20165	1229	27	corners	corner	NNS
20165	1229	28	being	be	VBG
20165	1229	29	the	the	DT
20165	1229	30	same	same	JJ
20165	1229	31	height	height	NN
20165	1229	32	.	.	.
20165	1230	1	In	in	IN
20165	1230	2	the	the	DT
20165	1230	3	vertical	vertical	JJ
20165	1230	4	geometrical	geometrical	JJ
20165	1230	5	square	square	NN
20165	1230	6	we	-PRON-	PRP
20165	1230	7	have	have	VBP
20165	1230	8	a	a	DT
20165	1230	9	ground	ground	NN
20165	1230	10	-	-	HYPH
20165	1230	11	plan	plan	NN
20165	1230	12	of	of	IN
20165	1230	13	the	the	DT
20165	1230	14	figure	figure	NN
20165	1230	15	,	,	,
20165	1230	16	from	from	IN
20165	1230	17	which	which	WDT
20165	1230	18	we	-PRON-	PRP
20165	1230	19	draw	draw	VBP
20165	1230	20	lines	line	NNS
20165	1230	21	to	to	IN
20165	1230	22	diagonal	diagonal	JJ
20165	1230	23	and	and	CC
20165	1230	24	to	to	TO
20165	1230	25	base	base	VB
20165	1230	26	,	,	,
20165	1230	27	and	and	CC
20165	1230	28	notify	notify	VB
20165	1230	29	by	by	IN
20165	1230	30	numerals	numeral	NNS
20165	1230	31	1	1	CD
20165	1230	32	,	,	,
20165	1230	33	3	3	CD
20165	1230	34	,	,	,
20165	1230	35	2	2	CD
20165	1230	36	,	,	,
20165	1230	37	1	1	CD
20165	1230	38	,	,	,
20165	1230	39	3	3	CD
20165	1230	40	;	;	:
20165	1230	41	these	these	DT
20165	1230	42	we	-PRON-	PRP
20165	1230	43	transfer	transfer	VBP
20165	1230	44	to	to	IN
20165	1230	45	base	base	NN
20165	1230	46	of	of	IN
20165	1230	47	the	the	DT
20165	1230	48	horizontal	horizontal	JJ
20165	1230	49	perspective	perspective	NNP
20165	1230	50	square	square	NN
20165	1230	51	,	,	,
20165	1230	52	and	and	CC
20165	1230	53	then	then	RB
20165	1230	54	construct	construct	VB
20165	1230	55	shaded	shaded	JJ
20165	1230	56	triangle	triangle	NN
20165	1230	57	1	1	CD
20165	1230	58	,	,	,
20165	1230	59	2	2	CD
20165	1230	60	,	,	,
20165	1230	61	3	3	CD
20165	1230	62	,	,	,
20165	1230	63	and	and	CC
20165	1230	64	raise	raise	VB
20165	1230	65	to	to	IN
20165	1230	66	the	the	DT
20165	1230	67	height	height	NN
20165	1230	68	required	require	VBN
20165	1230	69	as	as	IN
20165	1230	70	shown	show	VBN
20165	1230	71	at	at	IN
20165	1230	72	1	1	CD
20165	1230	73	·	·	SYM
20165	1230	74	,	,	,
20165	1230	75	2	2	CD
20165	1230	76	·	·	NFP
20165	1230	77	,	,	,
20165	1230	78	3	3	CD
20165	1230	79	·	·	NFP
20165	1230	80	.	.	.
20165	1231	1	Although	although	IN
20165	1231	2	we	-PRON-	PRP
20165	1231	3	may	may	MD
20165	1231	4	not	not	RB
20165	1231	5	want	want	VB
20165	1231	6	to	to	TO
20165	1231	7	make	make	VB
20165	1231	8	use	use	NN
20165	1231	9	of	of	IN
20165	1231	10	these	these	DT
20165	1231	11	special	special	JJ
20165	1231	12	figures	figure	NNS
20165	1231	13	,	,	,
20165	1231	14	they	-PRON-	PRP
20165	1231	15	show	show	VBP
20165	1231	16	us	-PRON-	PRP
20165	1231	17	how	how	WRB
20165	1231	18	we	-PRON-	PRP
20165	1231	19	could	could	MD
20165	1231	20	work	work	VB
20165	1231	21	out	out	RP
20165	1231	22	almost	almost	RB
20165	1231	23	any	any	DT
20165	1231	24	form	form	NN
20165	1231	25	or	or	CC
20165	1231	26	object	object	NN
20165	1231	27	suspended	suspend	VBN
20165	1231	28	in	in	IN
20165	1231	29	space	space	NN
20165	1231	30	.	.	.
20165	1232	1	[	[	-LRB-
20165	1232	2	Illustration	illustration	NN
20165	1232	3	:	:	:
20165	1232	4	Fig	Fig	NNP
20165	1232	5	.	.	.
20165	1233	1	158	158	CD
20165	1233	2	.	.	.
20165	1233	3	]	]	-RRB-
20165	1234	1	LXXXIV	LXXXIV	NNP
20165	1234	2	THE	the	DT
20165	1234	3	SQUARE	SQUARE	NNP
20165	1234	4	AND	and	CC
20165	1234	5	DIAGONAL	DIAGONAL	NNP
20165	1234	6	APPLIED	APPLIED	NNP
20165	1234	7	TO	to	IN
20165	1234	8	CUBES	CUBES	NNP
20165	1234	9	AND	and	CC
20165	1234	10	SOLIDS	solid	NNS
20165	1234	11	DRAWN	DRAWN	NNS
20165	1234	12	THEREIN	therein	IN
20165	1234	13	[	[	-LRB-
20165	1234	14	Illustration	illustration	NN
20165	1234	15	:	:	:
20165	1234	16	Fig	Fig	NNP
20165	1234	17	.	.	.
20165	1235	1	159	159	CD
20165	1235	2	.	.	.
20165	1235	3	]	]	-RRB-
20165	1236	1	As	as	IN
20165	1236	2	we	-PRON-	PRP
20165	1236	3	have	have	VBP
20165	1236	4	made	make	VBN
20165	1236	5	use	use	NN
20165	1236	6	of	of	IN
20165	1236	7	the	the	DT
20165	1236	8	square	square	JJ
20165	1236	9	and	and	CC
20165	1236	10	diagonal	diagonal	JJ
20165	1236	11	to	to	TO
20165	1236	12	draw	draw	VB
20165	1236	13	figures	figure	NNS
20165	1236	14	at	at	IN
20165	1236	15	various	various	JJ
20165	1236	16	angles	angle	NNS
20165	1236	17	so	so	RB
20165	1236	18	can	can	MD
20165	1236	19	we	-PRON-	PRP
20165	1236	20	make	make	VB
20165	1236	21	use	use	NN
20165	1236	22	of	of	IN
20165	1236	23	cubes	cube	NNS
20165	1236	24	either	either	CC
20165	1236	25	in	in	IN
20165	1236	26	parallel	parallel	JJ
20165	1236	27	or	or	CC
20165	1236	28	angular	angular	JJ
20165	1236	29	perspective	perspective	NN
20165	1236	30	to	to	TO
20165	1236	31	draw	draw	VB
20165	1236	32	other	other	JJ
20165	1236	33	solid	solid	JJ
20165	1236	34	figures	figure	NNS
20165	1236	35	within	within	IN
20165	1236	36	them	-PRON-	PRP
20165	1236	37	,	,	,
20165	1236	38	as	as	IN
20165	1236	39	shown	show	VBN
20165	1236	40	in	in	IN
20165	1236	41	these	these	DT
20165	1236	42	drawings	drawing	NNS
20165	1236	43	,	,	,
20165	1236	44	for	for	IN
20165	1236	45	this	this	DT
20165	1236	46	is	be	VBZ
20165	1236	47	simply	simply	RB
20165	1236	48	an	an	DT
20165	1236	49	amplification	amplification	NN
20165	1236	50	of	of	IN
20165	1236	51	that	that	DT
20165	1236	52	method	method	NN
20165	1236	53	.	.	.
20165	1237	1	Indeed	indeed	RB
20165	1237	2	we	-PRON-	PRP
20165	1237	3	might	may	MD
20165	1237	4	invent	invent	VB
20165	1237	5	many	many	JJ
20165	1237	6	more	more	JJR
20165	1237	7	such	such	JJ
20165	1237	8	things	thing	NNS
20165	1237	9	.	.	.
20165	1238	1	But	but	CC
20165	1238	2	subjects	subject	NNS
20165	1238	3	for	for	IN
20165	1238	4	perspective	perspective	JJ
20165	1238	5	treatment	treatment	NN
20165	1238	6	will	will	MD
20165	1238	7	constantly	constantly	RB
20165	1238	8	present	present	VB
20165	1238	9	themselves	-PRON-	PRP
20165	1238	10	to	to	IN
20165	1238	11	the	the	DT
20165	1238	12	artist	artist	NN
20165	1238	13	or	or	CC
20165	1238	14	draughtsman	draughtsman	NN
20165	1238	15	in	in	IN
20165	1238	16	the	the	DT
20165	1238	17	course	course	NN
20165	1238	18	of	of	IN
20165	1238	19	his	-PRON-	PRP$
20165	1238	20	experience	experience	NN
20165	1238	21	,	,	,
20165	1238	22	and	and	CC
20165	1238	23	while	while	IN
20165	1238	24	I	-PRON-	PRP
20165	1238	25	endeavour	endeavour	VBP
20165	1238	26	to	to	TO
20165	1238	27	show	show	VB
20165	1238	28	him	-PRON-	PRP
20165	1238	29	how	how	WRB
20165	1238	30	to	to	TO
20165	1238	31	grapple	grapple	VB
20165	1238	32	with	with	IN
20165	1238	33	any	any	DT
20165	1238	34	new	new	JJ
20165	1238	35	difficulty	difficulty	NN
20165	1238	36	or	or	CC
20165	1238	37	subject	subject	NN
20165	1238	38	that	that	WDT
20165	1238	39	may	may	MD
20165	1238	40	arise	arise	VB
20165	1238	41	,	,	,
20165	1238	42	it	-PRON-	PRP
20165	1238	43	is	be	VBZ
20165	1238	44	impossible	impossible	JJ
20165	1238	45	to	to	TO
20165	1238	46	set	set	VB
20165	1238	47	down	down	RP
20165	1238	48	all	all	DT
20165	1238	49	of	of	IN
20165	1238	50	them	-PRON-	PRP
20165	1238	51	in	in	IN
20165	1238	52	this	this	DT
20165	1238	53	book	book	NN
20165	1238	54	.	.	.
20165	1239	1	[	[	-LRB-
20165	1239	2	Illustration	illustration	NN
20165	1239	3	:	:	:
20165	1239	4	Fig	Fig	NNP
20165	1239	5	.	.	.
20165	1240	1	160	160	CD
20165	1240	2	.	.	.
20165	1240	3	]	]	-RRB-
20165	1241	1	LXXXV	LXXXV	NNP
20165	1241	2	TO	to	TO
20165	1241	3	DRAW	DRAW	NNP
20165	1241	4	AN	an	DT
20165	1241	5	OBLIQUE	OBLIQUE	NNP
20165	1241	6	SQUARE	SQUARE	NNP
20165	1241	7	IN	in	IN
20165	1241	8	ANOTHER	ANOTHER	NNP
20165	1241	9	OBLIQUE	OBLIQUE	VBN
20165	1241	10	SQUARE	SQUARE	NNP
20165	1241	11	WITHOUT	without	IN
20165	1241	12	USING	use	VBG
20165	1241	13	VANISHING	vanishing	NN
20165	1241	14	POINTS	POINTS	NNP
20165	1241	15	It	-PRON-	PRP
20165	1241	16	is	be	VBZ
20165	1241	17	not	not	RB
20165	1241	18	often	often	RB
20165	1241	19	that	that	IN
20165	1241	20	both	both	DT
20165	1241	21	vanishing	vanish	VBG
20165	1241	22	points	point	NNS
20165	1241	23	are	be	VBP
20165	1241	24	inaccessible	inaccessible	JJ
20165	1241	25	,	,	,
20165	1241	26	still	still	RB
20165	1241	27	it	-PRON-	PRP
20165	1241	28	is	be	VBZ
20165	1241	29	well	well	JJ
20165	1241	30	to	to	TO
20165	1241	31	know	know	VB
20165	1241	32	how	how	WRB
20165	1241	33	to	to	TO
20165	1241	34	proceed	proceed	VB
20165	1241	35	when	when	WRB
20165	1241	36	this	this	DT
20165	1241	37	is	be	VBZ
20165	1241	38	the	the	DT
20165	1241	39	case	case	NN
20165	1241	40	.	.	.
20165	1242	1	We	-PRON-	PRP
20165	1242	2	first	first	RB
20165	1242	3	draw	draw	VBP
20165	1242	4	the	the	DT
20165	1242	5	square	square	NN
20165	1242	6	_	_	NNP
20165	1242	7	ABCD	ABCD	NNP
20165	1242	8	_	_	NNP
20165	1242	9	inside	inside	IN
20165	1242	10	the	the	DT
20165	1242	11	parallel	parallel	JJ
20165	1242	12	square	square	NN
20165	1242	13	,	,	,
20165	1242	14	as	as	IN
20165	1242	15	in	in	IN
20165	1242	16	previous	previous	JJ
20165	1242	17	figures	figure	NNS
20165	1242	18	.	.	.
20165	1243	1	To	to	TO
20165	1243	2	draw	draw	VB
20165	1243	3	the	the	DT
20165	1243	4	smaller	small	JJR
20165	1243	5	square	square	NN
20165	1243	6	_	_	NNP
20165	1243	7	K	K	NNP
20165	1243	8	_	_	NNP
20165	1243	9	we	-PRON-	PRP
20165	1243	10	simply	simply	RB
20165	1243	11	draw	draw	VBP
20165	1243	12	a	a	DT
20165	1243	13	smaller	small	JJR
20165	1243	14	parallel	parallel	JJ
20165	1243	15	square	square	NN
20165	1243	16	_	_	NNP
20165	1243	17	h	h	NN
20165	1243	18	h	h	NN
20165	1243	19	h	h	NN
20165	1243	20	h	h	NNP
20165	1243	21	_	_	NNP
20165	1243	22	,	,	,
20165	1243	23	and	and	CC
20165	1243	24	within	within	IN
20165	1243	25	that	that	DT
20165	1243	26	,	,	,
20165	1243	27	guided	guide	VBN
20165	1243	28	by	by	IN
20165	1243	29	the	the	DT
20165	1243	30	intersections	intersection	NNS
20165	1243	31	of	of	IN
20165	1243	32	the	the	DT
20165	1243	33	diagonals	diagonal	NNS
20165	1243	34	therewith	therewith	NNP
20165	1243	35	,	,	,
20165	1243	36	we	-PRON-	PRP
20165	1243	37	obtain	obtain	VBP
20165	1243	38	the	the	DT
20165	1243	39	four	four	CD
20165	1243	40	points	point	NNS
20165	1243	41	through	through	IN
20165	1243	42	which	which	WDT
20165	1243	43	to	to	TO
20165	1243	44	draw	draw	VB
20165	1243	45	square	square	NN
20165	1243	46	_	_	NNP
20165	1243	47	K	K	NNP
20165	1243	48	_	_	NNP
20165	1243	49	.	.	.
20165	1244	1	To	to	TO
20165	1244	2	raise	raise	VB
20165	1244	3	a	a	DT
20165	1244	4	solid	solid	JJ
20165	1244	5	figure	figure	NN
20165	1244	6	on	on	IN
20165	1244	7	these	these	DT
20165	1244	8	squares	square	NNS
20165	1244	9	we	-PRON-	PRP
20165	1244	10	can	can	MD
20165	1244	11	make	make	VB
20165	1244	12	use	use	NN
20165	1244	13	of	of	IN
20165	1244	14	the	the	DT
20165	1244	15	vanishing	vanish	VBG
20165	1244	16	scales	scale	NNS
20165	1244	17	as	as	IN
20165	1244	18	shown	show	VBN
20165	1244	19	on	on	IN
20165	1244	20	each	each	DT
20165	1244	21	side	side	NN
20165	1244	22	of	of	IN
20165	1244	23	the	the	DT
20165	1244	24	figure	figure	NN
20165	1244	25	,	,	,
20165	1244	26	thus	thus	RB
20165	1244	27	obtaining	obtain	VBG
20165	1244	28	the	the	DT
20165	1244	29	upper	upper	JJ
20165	1244	30	square	square	NN
20165	1244	31	1	1	CD
20165	1244	32	2	2	CD
20165	1244	33	3	3	CD
20165	1244	34	4	4	CD
20165	1244	35	,	,	,
20165	1244	36	then	then	RB
20165	1244	37	by	by	IN
20165	1244	38	means	mean	NNS
20165	1244	39	of	of	IN
20165	1244	40	the	the	DT
20165	1244	41	diagonal	diagonal	JJ
20165	1244	42	1	1	CD
20165	1244	43	3	3	CD
20165	1244	44	and	and	CC
20165	1244	45	2	2	CD
20165	1244	46	4	4	CD
20165	1244	47	and	and	CC
20165	1244	48	verticals	vertical	NNS
20165	1244	49	raised	raise	VBN
20165	1244	50	from	from	IN
20165	1244	51	each	each	DT
20165	1244	52	corner	corner	NN
20165	1244	53	of	of	IN
20165	1244	54	square	square	NN
20165	1244	55	_	_	NNP
20165	1244	56	K	K	NNP
20165	1244	57	_	_	NNP
20165	1244	58	to	to	TO
20165	1244	59	meet	meet	VB
20165	1244	60	them	-PRON-	PRP
20165	1244	61	we	-PRON-	PRP
20165	1244	62	obtain	obtain	VBP
20165	1244	63	the	the	DT
20165	1244	64	smaller	small	JJR
20165	1244	65	upper	upper	JJ
20165	1244	66	square	square	NN
20165	1244	67	corresponding	correspond	VBG
20165	1244	68	to	to	IN
20165	1244	69	_	_	NNP
20165	1244	70	K	K	NNP
20165	1244	71	_	_	NNP
20165	1244	72	.	.	.
20165	1245	1	It	-PRON-	PRP
20165	1245	2	might	may	MD
20165	1245	3	be	be	VB
20165	1245	4	said	say	VBN
20165	1245	5	that	that	IN
20165	1245	6	all	all	PDT
20165	1245	7	this	this	DT
20165	1245	8	can	can	MD
20165	1245	9	be	be	VB
20165	1245	10	done	do	VBN
20165	1245	11	by	by	IN
20165	1245	12	using	use	VBG
20165	1245	13	the	the	DT
20165	1245	14	two	two	CD
20165	1245	15	vanishing	vanish	VBG
20165	1245	16	points	point	NNS
20165	1245	17	in	in	IN
20165	1245	18	the	the	DT
20165	1245	19	usual	usual	JJ
20165	1245	20	way	way	NN
20165	1245	21	.	.	.
20165	1246	1	In	in	IN
20165	1246	2	the	the	DT
20165	1246	3	first	first	JJ
20165	1246	4	place	place	NN
20165	1246	5	,	,	,
20165	1246	6	if	if	IN
20165	1246	7	they	-PRON-	PRP
20165	1246	8	were	be	VBD
20165	1246	9	as	as	RB
20165	1246	10	far	far	RB
20165	1246	11	off	off	RB
20165	1246	12	as	as	IN
20165	1246	13	required	require	VBN
20165	1246	14	for	for	IN
20165	1246	15	this	this	DT
20165	1246	16	figure	figure	NN
20165	1246	17	we	-PRON-	PRP
20165	1246	18	could	could	MD
20165	1246	19	not	not	RB
20165	1246	20	get	get	VB
20165	1246	21	them	-PRON-	PRP
20165	1246	22	into	into	IN
20165	1246	23	a	a	DT
20165	1246	24	page	page	NN
20165	1246	25	unless	unless	IN
20165	1246	26	it	-PRON-	PRP
20165	1246	27	were	be	VBD
20165	1246	28	three	three	CD
20165	1246	29	or	or	CC
20165	1246	30	four	four	CD
20165	1246	31	times	time	NNS
20165	1246	32	the	the	DT
20165	1246	33	width	width	NN
20165	1246	34	of	of	IN
20165	1246	35	this	this	DT
20165	1246	36	one	one	NN
20165	1246	37	,	,	,
20165	1246	38	and	and	CC
20165	1246	39	to	to	TO
20165	1246	40	use	use	VB
20165	1246	41	shorter	short	JJR
20165	1246	42	distances	distance	NNS
20165	1246	43	results	result	NNS
20165	1246	44	in	in	IN
20165	1246	45	distortion	distortion	NN
20165	1246	46	,	,	,
20165	1246	47	so	so	IN
20165	1246	48	that	that	IN
20165	1246	49	the	the	DT
20165	1246	50	real	real	JJ
20165	1246	51	use	use	NN
20165	1246	52	of	of	IN
20165	1246	53	this	this	DT
20165	1246	54	system	system	NN
20165	1246	55	is	be	VBZ
20165	1246	56	that	that	IN
20165	1246	57	we	-PRON-	PRP
20165	1246	58	can	can	MD
20165	1246	59	make	make	VB
20165	1246	60	our	-PRON-	PRP$
20165	1246	61	figures	figure	NNS
20165	1246	62	look	look	VB
20165	1246	63	quite	quite	RB
20165	1246	64	natural	natural	JJ
20165	1246	65	and	and	CC
20165	1246	66	with	with	IN
20165	1246	67	much	much	RB
20165	1246	68	less	less	JJR
20165	1246	69	trouble	trouble	NN
20165	1246	70	than	than	IN
20165	1246	71	by	by	IN
20165	1246	72	the	the	DT
20165	1246	73	other	other	JJ
20165	1246	74	method	method	NN
20165	1246	75	.	.	.
20165	1247	1	[	[	-LRB-
20165	1247	2	Illustration	illustration	NN
20165	1247	3	:	:	:
20165	1247	4	Fig	Fig	NNP
20165	1247	5	.	.	.
20165	1248	1	161	161	CD
20165	1248	2	.	.	.
20165	1248	3	]	]	-RRB-
20165	1249	1	LXXXVI	LXXXVI	NNP
20165	1249	2	SHOWING	show	VBG
20165	1249	3	HOW	HOW	NNP
20165	1249	4	A	a	DT
20165	1249	5	PEDESTAL	PEDESTAL	NNS
20165	1249	6	CAN	CAN	MD
20165	1249	7	BE	be	VB
20165	1249	8	DRAWN	draw	VBN
20165	1249	9	BY	by	IN
20165	1249	10	THE	the	DT
20165	1249	11	NEW	NEW	NNP
20165	1249	12	METHOD	method	NN
20165	1249	13	This	this	DT
20165	1249	14	is	be	VBZ
20165	1249	15	a	a	DT
20165	1249	16	repetition	repetition	NN
20165	1249	17	of	of	IN
20165	1249	18	the	the	DT
20165	1249	19	previous	previous	JJ
20165	1249	20	problem	problem	NN
20165	1249	21	,	,	,
20165	1249	22	or	or	CC
20165	1249	23	rather	rather	RB
20165	1249	24	the	the	DT
20165	1249	25	application	application	NN
20165	1249	26	of	of	IN
20165	1249	27	it	-PRON-	PRP
20165	1249	28	to	to	IN
20165	1249	29	architecture	architecture	NN
20165	1249	30	,	,	,
20165	1249	31	although	although	IN
20165	1249	32	when	when	WRB
20165	1249	33	there	there	EX
20165	1249	34	are	be	VBP
20165	1249	35	many	many	JJ
20165	1249	36	details	detail	NNS
20165	1249	37	it	-PRON-	PRP
20165	1249	38	may	may	MD
20165	1249	39	be	be	VB
20165	1249	40	more	more	RBR
20165	1249	41	convenient	convenient	JJ
20165	1249	42	to	to	TO
20165	1249	43	use	use	VB
20165	1249	44	vanishing	vanish	VBG
20165	1249	45	points	point	NNS
20165	1249	46	or	or	CC
20165	1249	47	the	the	DT
20165	1249	48	centrolinead	centrolinead	NN
20165	1249	49	.	.	.
20165	1250	1	[	[	-LRB-
20165	1250	2	Illustration	illustration	NN
20165	1250	3	:	:	:
20165	1250	4	Fig	Fig	NNP
20165	1250	5	.	.	.
20165	1251	1	162	162	CD
20165	1251	2	.	.	.
20165	1251	3	]	]	-RRB-
20165	1252	1	[	[	-LRB-
20165	1252	2	Illustration	illustration	NN
20165	1252	3	:	:	:
20165	1252	4	Fig	Fig	NNP
20165	1252	5	.	.	.
20165	1253	1	163	163	CD
20165	1253	2	.	.	.
20165	1254	1	Honfleur	Honfleur	NNP
20165	1254	2	.	.	.
20165	1254	3	]	]	-RRB-
20165	1255	1	LXXXVII	LXXXVII	NNP
20165	1255	2	SCALE	SCALE	NNP
20165	1255	3	ON	on	IN
20165	1255	4	EACH	each	NN
20165	1255	5	SIDE	SIDE	NNS
20165	1255	6	OF	of	IN
20165	1255	7	THE	the	DT
20165	1255	8	PICTURE	picture	NN
20165	1255	9	As	as	IN
20165	1255	10	one	one	CD
20165	1255	11	of	of	IN
20165	1255	12	my	-PRON-	PRP$
20165	1255	13	objects	object	NNS
20165	1255	14	in	in	IN
20165	1255	15	writing	write	VBG
20165	1255	16	this	this	DT
20165	1255	17	book	book	NN
20165	1255	18	is	be	VBZ
20165	1255	19	to	to	TO
20165	1255	20	facilitate	facilitate	VB
20165	1255	21	the	the	DT
20165	1255	22	working	working	NN
20165	1255	23	of	of	IN
20165	1255	24	our	-PRON-	PRP$
20165	1255	25	perspective	perspective	NN
20165	1255	26	,	,	,
20165	1255	27	partly	partly	RB
20165	1255	28	for	for	IN
20165	1255	29	the	the	DT
20165	1255	30	comfort	comfort	NN
20165	1255	31	of	of	IN
20165	1255	32	the	the	DT
20165	1255	33	artist	artist	NN
20165	1255	34	,	,	,
20165	1255	35	and	and	CC
20165	1255	36	partly	partly	RB
20165	1255	37	that	that	IN
20165	1255	38	he	-PRON-	PRP
20165	1255	39	may	may	MD
20165	1255	40	have	have	VB
20165	1255	41	no	no	DT
20165	1255	42	excuse	excuse	NN
20165	1255	43	for	for	IN
20165	1255	44	neglecting	neglect	VBG
20165	1255	45	it	-PRON-	PRP
20165	1255	46	,	,	,
20165	1255	47	I	-PRON-	PRP
20165	1255	48	will	will	MD
20165	1255	49	here	here	RB
20165	1255	50	show	show	VB
20165	1255	51	you	-PRON-	PRP
20165	1255	52	how	how	WRB
20165	1255	53	you	-PRON-	PRP
20165	1255	54	may	may	MD
20165	1255	55	,	,	,
20165	1255	56	by	by	IN
20165	1255	57	a	a	DT
20165	1255	58	very	very	RB
20165	1255	59	simple	simple	JJ
20165	1255	60	means	mean	NNS
20165	1255	61	,	,	,
20165	1255	62	secure	secure	VB
20165	1255	63	the	the	DT
20165	1255	64	general	general	JJ
20165	1255	65	correctness	correctness	NN
20165	1255	66	of	of	IN
20165	1255	67	your	-PRON-	PRP$
20165	1255	68	perspective	perspective	NN
20165	1255	69	when	when	WRB
20165	1255	70	sketching	sketch	VBG
20165	1255	71	or	or	CC
20165	1255	72	painting	paint	VBG
20165	1255	73	out	out	IN
20165	1255	74	of	of	IN
20165	1255	75	doors	door	NNS
20165	1255	76	.	.	.
20165	1256	1	Let	let	VB
20165	1256	2	us	-PRON-	PRP
20165	1256	3	take	take	VB
20165	1256	4	this	this	DT
20165	1256	5	example	example	NN
20165	1256	6	from	from	IN
20165	1256	7	a	a	DT
20165	1256	8	sketch	sketch	NN
20165	1256	9	made	make	VBN
20165	1256	10	at	at	IN
20165	1256	11	Honfleur	Honfleur	NNP
20165	1256	12	(	(	-LRB-
20165	1256	13	Fig	Fig	NNP
20165	1256	14	.	.	.
20165	1257	1	163	163	CD
20165	1257	2	)	)	-RRB-
20165	1257	3	,	,	,
20165	1257	4	and	and	CC
20165	1257	5	in	in	IN
20165	1257	6	which	which	WDT
20165	1257	7	my	-PRON-	PRP$
20165	1257	8	eye	eye	NN
20165	1257	9	was	be	VBD
20165	1257	10	my	-PRON-	PRP$
20165	1257	11	only	only	JJ
20165	1257	12	guide	guide	NN
20165	1257	13	,	,	,
20165	1257	14	but	but	CC
20165	1257	15	it	-PRON-	PRP
20165	1257	16	stands	stand	VBZ
20165	1257	17	the	the	DT
20165	1257	18	test	test	NN
20165	1257	19	of	of	IN
20165	1257	20	the	the	DT
20165	1257	21	rule	rule	NN
20165	1257	22	.	.	.
20165	1258	1	First	first	RB
20165	1258	2	of	of	IN
20165	1258	3	all	all	DT
20165	1258	4	note	note	NN
20165	1258	5	that	that	DT
20165	1258	6	line	line	NN
20165	1258	7	_	_	NNP
20165	1258	8	HH	HH	NNP
20165	1258	9	_	_	NNP
20165	1258	10	,	,	,
20165	1258	11	drawn	draw	VBN
20165	1258	12	from	from	IN
20165	1258	13	one	one	CD
20165	1258	14	side	side	NN
20165	1258	15	of	of	IN
20165	1258	16	the	the	DT
20165	1258	17	picture	picture	NN
20165	1258	18	to	to	IN
20165	1258	19	the	the	DT
20165	1258	20	other	other	JJ
20165	1258	21	,	,	,
20165	1258	22	is	be	VBZ
20165	1258	23	the	the	DT
20165	1258	24	horizontal	horizontal	JJ
20165	1258	25	line	line	NN
20165	1258	26	;	;	:
20165	1258	27	below	below	IN
20165	1258	28	that	that	DT
20165	1258	29	is	be	VBZ
20165	1258	30	a	a	DT
20165	1258	31	wall	wall	NN
20165	1258	32	and	and	CC
20165	1258	33	a	a	DT
20165	1258	34	pavement	pavement	NN
20165	1258	35	marked	mark	VBN
20165	1258	36	_	_	NNP
20165	1258	37	aV	aV	NNP
20165	1258	38	_	_	NNP
20165	1258	39	,	,	,
20165	1258	40	also	also	RB
20165	1258	41	going	go	VBG
20165	1258	42	from	from	IN
20165	1258	43	one	one	CD
20165	1258	44	side	side	NN
20165	1258	45	of	of	IN
20165	1258	46	the	the	DT
20165	1258	47	picture	picture	NN
20165	1258	48	to	to	IN
20165	1258	49	the	the	DT
20165	1258	50	other	other	JJ
20165	1258	51	,	,	,
20165	1258	52	and	and	CC
20165	1258	53	being	be	VBG
20165	1258	54	lower	low	JJR
20165	1258	55	down	down	RP
20165	1258	56	at	at	IN
20165	1258	57	_	_	NNP
20165	1258	58	a	a	DT
20165	1258	59	_	_	NNP
20165	1258	60	than	than	IN
20165	1258	61	at	at	IN
20165	1258	62	_	_	NNP
20165	1258	63	V	V	NNP
20165	1258	64	_	_	NNP
20165	1258	65	it	-PRON-	PRP
20165	1258	66	runs	run	VBZ
20165	1258	67	up	up	RP
20165	1258	68	as	as	IN
20165	1258	69	it	-PRON-	PRP
20165	1258	70	were	be	VBD
20165	1258	71	to	to	TO
20165	1258	72	meet	meet	VB
20165	1258	73	the	the	DT
20165	1258	74	horizon	horizon	NN
20165	1258	75	at	at	IN
20165	1258	76	some	some	DT
20165	1258	77	distant	distant	JJ
20165	1258	78	point	point	NN
20165	1258	79	.	.	.
20165	1259	1	In	in	IN
20165	1259	2	order	order	NN
20165	1259	3	to	to	TO
20165	1259	4	form	form	VB
20165	1259	5	our	-PRON-	PRP$
20165	1259	6	scale	scale	NN
20165	1259	7	I	-PRON-	PRP
20165	1259	8	take	take	VBP
20165	1259	9	first	first	RB
20165	1259	10	the	the	DT
20165	1259	11	length	length	NN
20165	1259	12	of	of	IN
20165	1259	13	_	_	NNP
20165	1259	14	Ha	Ha	NNP
20165	1259	15	_	_	NNP
20165	1259	16	,	,	,
20165	1259	17	and	and	CC
20165	1259	18	measure	measure	VB
20165	1259	19	it	-PRON-	PRP
20165	1259	20	above	above	RB
20165	1259	21	and	and	CC
20165	1259	22	below	below	IN
20165	1259	23	the	the	DT
20165	1259	24	horizon	horizon	NN
20165	1259	25	,	,	,
20165	1259	26	along	along	IN
20165	1259	27	the	the	DT
20165	1259	28	side	side	NN
20165	1259	29	to	to	IN
20165	1259	30	our	-PRON-	PRP$
20165	1259	31	left	left	JJ
20165	1259	32	as	as	RB
20165	1259	33	many	many	JJ
20165	1259	34	times	time	NNS
20165	1259	35	as	as	IN
20165	1259	36	required	require	VBN
20165	1259	37	,	,	,
20165	1259	38	in	in	IN
20165	1259	39	this	this	DT
20165	1259	40	case	case	NN
20165	1259	41	four	four	CD
20165	1259	42	or	or	CC
20165	1259	43	five	five	CD
20165	1259	44	.	.	.
20165	1260	1	I	-PRON-	PRP
20165	1260	2	now	now	RB
20165	1260	3	take	take	VBP
20165	1260	4	the	the	DT
20165	1260	5	length	length	NN
20165	1260	6	_	_	NNP
20165	1260	7	HV	HV	NNP
20165	1260	8	_	_	NNP
20165	1260	9	on	on	IN
20165	1260	10	the	the	DT
20165	1260	11	right	right	JJ
20165	1260	12	side	side	NN
20165	1260	13	of	of	IN
20165	1260	14	the	the	DT
20165	1260	15	picture	picture	NN
20165	1260	16	and	and	CC
20165	1260	17	measure	measure	VB
20165	1260	18	it	-PRON-	PRP
20165	1260	19	above	above	RB
20165	1260	20	and	and	CC
20165	1260	21	below	below	IN
20165	1260	22	the	the	DT
20165	1260	23	horizon	horizon	NN
20165	1260	24	,	,	,
20165	1260	25	as	as	IN
20165	1260	26	in	in	IN
20165	1260	27	the	the	DT
20165	1260	28	other	other	JJ
20165	1260	29	case	case	NN
20165	1260	30	;	;	:
20165	1260	31	and	and	CC
20165	1260	32	then	then	RB
20165	1260	33	from	from	IN
20165	1260	34	these	these	DT
20165	1260	35	divisions	division	NNS
20165	1260	36	obtain	obtain	VB
20165	1260	37	dotted	dotted	JJ
20165	1260	38	lines	line	NNS
20165	1260	39	crossing	cross	VBG
20165	1260	40	the	the	DT
20165	1260	41	picture	picture	NN
20165	1260	42	from	from	IN
20165	1260	43	one	one	CD
20165	1260	44	side	side	NN
20165	1260	45	to	to	IN
20165	1260	46	the	the	DT
20165	1260	47	other	other	JJ
20165	1260	48	which	which	WDT
20165	1260	49	must	must	MD
20165	1260	50	all	all	DT
20165	1260	51	meet	meet	VB
20165	1260	52	at	at	IN
20165	1260	53	some	some	DT
20165	1260	54	distant	distant	JJ
20165	1260	55	point	point	NN
20165	1260	56	on	on	IN
20165	1260	57	the	the	DT
20165	1260	58	horizon	horizon	NN
20165	1260	59	.	.	.
20165	1261	1	These	these	DT
20165	1261	2	act	act	NN
20165	1261	3	as	as	IN
20165	1261	4	guiding	guide	VBG
20165	1261	5	lines	line	NNS
20165	1261	6	,	,	,
20165	1261	7	and	and	CC
20165	1261	8	are	be	VBP
20165	1261	9	sufficient	sufficient	JJ
20165	1261	10	to	to	TO
20165	1261	11	give	give	VB
20165	1261	12	us	-PRON-	PRP
20165	1261	13	the	the	DT
20165	1261	14	direction	direction	NN
20165	1261	15	of	of	IN
20165	1261	16	any	any	DT
20165	1261	17	vanishing	vanish	VBG
20165	1261	18	lines	line	NNS
20165	1261	19	going	go	VBG
20165	1261	20	to	to	IN
20165	1261	21	the	the	DT
20165	1261	22	same	same	JJ
20165	1261	23	point	point	NN
20165	1261	24	.	.	.
20165	1262	1	For	for	IN
20165	1262	2	those	those	DT
20165	1262	3	that	that	WDT
20165	1262	4	go	go	VBP
20165	1262	5	in	in	IN
20165	1262	6	the	the	DT
20165	1262	7	opposite	opposite	JJ
20165	1262	8	direction	direction	NN
20165	1262	9	we	-PRON-	PRP
20165	1262	10	proceed	proceed	VBP
20165	1262	11	in	in	IN
20165	1262	12	the	the	DT
20165	1262	13	same	same	JJ
20165	1262	14	way	way	NN
20165	1262	15	,	,	,
20165	1262	16	as	as	IN
20165	1262	17	from	from	IN
20165	1262	18	_	_	NNP
20165	1262	19	b	b	NNP
20165	1262	20	_	_	NNP
20165	1262	21	on	on	IN
20165	1262	22	the	the	DT
20165	1262	23	right	right	NN
20165	1262	24	to	to	IN
20165	1262	25	_	_	NNP
20165	1262	26	V	V	NNP
20165	1262	27	·	·	NFP
20165	1262	28	_	_	NNP
20165	1262	29	on	on	IN
20165	1262	30	the	the	DT
20165	1262	31	left	left	NN
20165	1262	32	.	.	.
20165	1263	1	They	-PRON-	PRP
20165	1263	2	are	be	VBP
20165	1263	3	here	here	RB
20165	1263	4	put	put	VBN
20165	1263	5	in	in	RP
20165	1263	6	faintly	faintly	RB
20165	1263	7	,	,	,
20165	1263	8	so	so	CC
20165	1263	9	as	as	IN
20165	1263	10	not	not	RB
20165	1263	11	to	to	TO
20165	1263	12	interfere	interfere	VB
20165	1263	13	with	with	IN
20165	1263	14	the	the	DT
20165	1263	15	drawing	drawing	NN
20165	1263	16	.	.	.
20165	1264	1	In	in	IN
20165	1264	2	the	the	DT
20165	1264	3	sketch	sketch	NN
20165	1264	4	of	of	IN
20165	1264	5	Toledo	Toledo	NNP
20165	1264	6	(	(	-LRB-
20165	1264	7	Fig	Fig	NNP
20165	1264	8	.	.	.
20165	1265	1	164	164	LS
20165	1265	2	)	)	-RRB-
20165	1265	3	the	the	DT
20165	1265	4	same	same	JJ
20165	1265	5	thing	thing	NN
20165	1265	6	is	be	VBZ
20165	1265	7	shown	show	VBN
20165	1265	8	by	by	IN
20165	1265	9	double	double	JJ
20165	1265	10	lines	line	NNS
20165	1265	11	on	on	IN
20165	1265	12	each	each	DT
20165	1265	13	side	side	NN
20165	1265	14	to	to	TO
20165	1265	15	separate	separate	VB
20165	1265	16	the	the	DT
20165	1265	17	two	two	CD
20165	1265	18	sets	set	NNS
20165	1265	19	of	of	IN
20165	1265	20	lines	line	NNS
20165	1265	21	,	,	,
20165	1265	22	and	and	CC
20165	1265	23	to	to	TO
20165	1265	24	make	make	VB
20165	1265	25	the	the	DT
20165	1265	26	principle	principle	NN
20165	1265	27	more	more	RBR
20165	1265	28	evident	evident	JJ
20165	1265	29	.	.	.
20165	1266	1	[	[	-LRB-
20165	1266	2	Illustration	illustration	NN
20165	1266	3	:	:	:
20165	1266	4	Fig	Fig	NNP
20165	1266	5	.	.	.
20165	1267	1	164	164	CD
20165	1267	2	.	.	.
20165	1268	1	Toledo	Toledo	NNP
20165	1268	2	.	.	.
20165	1268	3	]	]	-RRB-
20165	1269	1	LXXXVIII	lxxxviii	VB
20165	1269	2	THE	the	DT
20165	1269	3	CIRCLE	CIRCLE	NNP
20165	1269	4	If	if	IN
20165	1269	5	we	-PRON-	PRP
20165	1269	6	inscribe	inscribe	VBP
20165	1269	7	a	a	DT
20165	1269	8	circle	circle	NN
20165	1269	9	in	in	IN
20165	1269	10	a	a	DT
20165	1269	11	square	square	NN
20165	1269	12	we	-PRON-	PRP
20165	1269	13	find	find	VBP
20165	1269	14	that	that	IN
20165	1269	15	it	-PRON-	PRP
20165	1269	16	touches	touch	VBZ
20165	1269	17	that	that	DT
20165	1269	18	square	square	NN
20165	1269	19	at	at	IN
20165	1269	20	four	four	CD
20165	1269	21	points	point	NNS
20165	1269	22	which	which	WDT
20165	1269	23	are	be	VBP
20165	1269	24	in	in	IN
20165	1269	25	the	the	DT
20165	1269	26	middle	middle	NN
20165	1269	27	of	of	IN
20165	1269	28	each	each	DT
20165	1269	29	side	side	NN
20165	1269	30	,	,	,
20165	1269	31	as	as	IN
20165	1269	32	at	at	IN
20165	1269	33	_	_	NNP
20165	1269	34	a	a	DT
20165	1269	35	b	b	NN
20165	1269	36	c	c	NN
20165	1269	37	d	d	NN
20165	1269	38	_	_	NNP
20165	1269	39	.	.	.
20165	1270	1	It	-PRON-	PRP
20165	1270	2	will	will	MD
20165	1270	3	also	also	RB
20165	1270	4	intersect	intersect	VB
20165	1270	5	the	the	DT
20165	1270	6	two	two	CD
20165	1270	7	diagonals	diagonal	NNS
20165	1270	8	at	at	IN
20165	1270	9	the	the	DT
20165	1270	10	four	four	CD
20165	1270	11	points	point	NNS
20165	1270	12	_	_	NNP
20165	1270	13	o	o	XX
20165	1270	14	_	_	NNP
20165	1270	15	(	(	-LRB-
20165	1270	16	Fig	fig	NN
20165	1270	17	.	.	.
20165	1271	1	165	165	CD
20165	1271	2	)	)	-RRB-
20165	1271	3	.	.	.
20165	1272	1	If	if	IN
20165	1272	2	,	,	,
20165	1272	3	then	then	RB
20165	1272	4	,	,	,
20165	1272	5	we	-PRON-	PRP
20165	1272	6	put	put	VBD
20165	1272	7	this	this	DT
20165	1272	8	square	square	NN
20165	1272	9	and	and	CC
20165	1272	10	its	-PRON-	PRP$
20165	1272	11	diagonals	diagonal	NNS
20165	1272	12	,	,	,
20165	1272	13	&	&	CC
20165	1272	14	c.	c.	NNP
20165	1272	15	,	,	,
20165	1272	16	into	into	IN
20165	1272	17	perspective	perspective	NN
20165	1272	18	we	-PRON-	PRP
20165	1272	19	shall	shall	MD
20165	1272	20	have	have	VB
20165	1272	21	eight	eight	CD
20165	1272	22	guiding	guide	VBG
20165	1272	23	points	point	NNS
20165	1272	24	through	through	IN
20165	1272	25	which	which	WDT
20165	1272	26	to	to	TO
20165	1272	27	trace	trace	VB
20165	1272	28	the	the	DT
20165	1272	29	required	require	VBN
20165	1272	30	circle	circle	NN
20165	1272	31	,	,	,
20165	1272	32	as	as	IN
20165	1272	33	shown	show	VBN
20165	1272	34	in	in	IN
20165	1272	35	Fig	Fig	NNP
20165	1272	36	.	.	.
20165	1273	1	166	166	CD
20165	1273	2	,	,	,
20165	1273	3	which	which	WDT
20165	1273	4	has	have	VBZ
20165	1273	5	the	the	DT
20165	1273	6	same	same	JJ
20165	1273	7	base	base	NN
20165	1273	8	as	as	IN
20165	1273	9	Fig	Fig	NNP
20165	1273	10	.	.	.
20165	1274	1	165	165	CD
20165	1274	2	.	.	.
20165	1275	1	[	[	-LRB-
20165	1275	2	Illustration	illustration	NN
20165	1275	3	:	:	:
20165	1275	4	Fig	Fig	NNP
20165	1275	5	.	.	.
20165	1276	1	165	165	CD
20165	1276	2	.	.	.
20165	1276	3	]	]	-RRB-
20165	1277	1	[	[	-LRB-
20165	1277	2	Illustration	illustration	NN
20165	1277	3	:	:	:
20165	1277	4	Fig	Fig	NNP
20165	1277	5	.	.	.
20165	1278	1	166	166	CD
20165	1278	2	.	.	.
20165	1278	3	]	]	-RRB-
20165	1279	1	LXXXIX	LXXXIX	VBN
20165	1279	2	THE	the	DT
20165	1279	3	CIRCLE	CIRCLE	NNP
20165	1279	4	IN	in	IN
20165	1279	5	PERSPECTIVE	perspective	NN
20165	1279	6	A	a	DT
20165	1279	7	TRUE	true	JJ
20165	1279	8	ELLIPSE	ELLIPSE	NNS
20165	1279	9	Although	although	IN
20165	1279	10	the	the	DT
20165	1279	11	circle	circle	NN
20165	1279	12	drawn	draw	VBN
20165	1279	13	through	through	IN
20165	1279	14	certain	certain	JJ
20165	1279	15	points	point	NNS
20165	1279	16	must	must	MD
20165	1279	17	be	be	VB
20165	1279	18	a	a	DT
20165	1279	19	freehand	freehand	NN
20165	1279	20	drawing	drawing	NN
20165	1279	21	,	,	,
20165	1279	22	which	which	WDT
20165	1279	23	requires	require	VBZ
20165	1279	24	a	a	DT
20165	1279	25	little	little	JJ
20165	1279	26	practice	practice	NN
20165	1279	27	to	to	TO
20165	1279	28	make	make	VB
20165	1279	29	it	-PRON-	PRP
20165	1279	30	true	true	JJ
20165	1279	31	,	,	,
20165	1279	32	it	-PRON-	PRP
20165	1279	33	is	be	VBZ
20165	1279	34	sufficient	sufficient	JJ
20165	1279	35	for	for	IN
20165	1279	36	ordinary	ordinary	JJ
20165	1279	37	purposes	purpose	NNS
20165	1279	38	and	and	CC
20165	1279	39	on	on	IN
20165	1279	40	a	a	DT
20165	1279	41	small	small	JJ
20165	1279	42	scale	scale	NN
20165	1279	43	,	,	,
20165	1279	44	but	but	CC
20165	1279	45	to	to	TO
20165	1279	46	be	be	VB
20165	1279	47	mathematically	mathematically	RB
20165	1279	48	true	true	JJ
20165	1279	49	it	-PRON-	PRP
20165	1279	50	must	must	MD
20165	1279	51	be	be	VB
20165	1279	52	an	an	DT
20165	1279	53	ellipse	ellipse	NN
20165	1279	54	.	.	.
20165	1280	1	We	-PRON-	PRP
20165	1280	2	will	will	MD
20165	1280	3	first	first	RB
20165	1280	4	draw	draw	VB
20165	1280	5	an	an	DT
20165	1280	6	ellipse	ellipse	NN
20165	1280	7	(	(	-LRB-
20165	1280	8	Fig	fig	NN
20165	1280	9	.	.	.
20165	1281	1	167	167	CD
20165	1281	2	)	)	-RRB-
20165	1281	3	.	.	.
20165	1282	1	Let	let	VB
20165	1282	2	_	_	NNP
20165	1282	3	ee	ee	NNP
20165	1282	4	_	_	NNP
20165	1282	5	be	be	VB
20165	1282	6	its	-PRON-	PRP$
20165	1282	7	long	long	JJ
20165	1282	8	,	,	,
20165	1282	9	or	or	CC
20165	1282	10	transverse	transverse	JJ
20165	1282	11	,	,	,
20165	1282	12	diameter	diameter	NN
20165	1282	13	,	,	,
20165	1282	14	and	and	CC
20165	1282	15	_	_	NNP
20165	1282	16	db	db	NNP
20165	1282	17	_	_	NNP
20165	1282	18	its	-PRON-	PRP$
20165	1282	19	short	short	JJ
20165	1282	20	or	or	CC
20165	1282	21	conjugate	conjugate	JJ
20165	1282	22	diameter	diameter	NN
20165	1282	23	.	.	.
20165	1283	1	Now	now	RB
20165	1283	2	take	take	VB
20165	1283	3	half	half	NN
20165	1283	4	of	of	IN
20165	1283	5	the	the	DT
20165	1283	6	long	long	JJ
20165	1283	7	diameter	diameter	NN
20165	1283	8	_	_	NNP
20165	1283	9	eE	eE	NNP
20165	1283	10	_	_	NNP
20165	1283	11	,	,	,
20165	1283	12	and	and	CC
20165	1283	13	from	from	IN
20165	1283	14	point	point	NN
20165	1283	15	_	_	NNP
20165	1283	16	d	d	NNP
20165	1283	17	_	_	NNP
20165	1283	18	with	with	IN
20165	1283	19	_	_	NNP
20165	1283	20	cE	cE	NNP
20165	1283	21	_	_	NNP
20165	1283	22	for	for	IN
20165	1283	23	radius	radius	NN
20165	1283	24	mark	mark	NN
20165	1283	25	on	on	IN
20165	1283	26	_	_	NNP
20165	1283	27	ee	ee	NNP
20165	1283	28	_	_	NNP
20165	1283	29	the	the	DT
20165	1283	30	two	two	CD
20165	1283	31	points	point	NNS
20165	1283	32	_	_	NNP
20165	1283	33	ff	ff	NNP
20165	1283	34	_	_	NNP
20165	1283	35	,	,	,
20165	1283	36	which	which	WDT
20165	1283	37	are	be	VBP
20165	1283	38	the	the	DT
20165	1283	39	foci	foci	NN
20165	1283	40	of	of	IN
20165	1283	41	the	the	DT
20165	1283	42	ellipse	ellipse	NN
20165	1283	43	.	.	.
20165	1284	1	At	at	IN
20165	1284	2	each	each	DT
20165	1284	3	focus	focus	NN
20165	1284	4	fix	fix	NN
20165	1284	5	a	a	DT
20165	1284	6	pin	pin	NN
20165	1284	7	,	,	,
20165	1284	8	then	then	RB
20165	1284	9	make	make	VB
20165	1284	10	a	a	DT
20165	1284	11	loop	loop	NN
20165	1284	12	of	of	IN
20165	1284	13	fine	fine	JJ
20165	1284	14	string	string	NN
20165	1284	15	that	that	WDT
20165	1284	16	does	do	VBZ
20165	1284	17	not	not	RB
20165	1284	18	stretch	stretch	VB
20165	1284	19	and	and	CC
20165	1284	20	of	of	IN
20165	1284	21	such	such	PDT
20165	1284	22	a	a	DT
20165	1284	23	length	length	NN
20165	1284	24	that	that	WDT
20165	1284	25	when	when	WRB
20165	1284	26	drawn	draw	VBN
20165	1284	27	out	out	RP
20165	1284	28	the	the	DT
20165	1284	29	double	double	JJ
20165	1284	30	thread	thread	NN
20165	1284	31	will	will	MD
20165	1284	32	reach	reach	VB
20165	1284	33	from	from	IN
20165	1284	34	_	_	NNP
20165	1284	35	f	f	NNP
20165	1284	36	_	_	NNP
20165	1284	37	to	to	IN
20165	1284	38	_	_	NNP
20165	1284	39	e	e	NNP
20165	1284	40	_	_	NNP
20165	1284	41	.	.	.
20165	1285	1	Now	now	RB
20165	1285	2	place	place	VB
20165	1285	3	this	this	DT
20165	1285	4	double	double	JJ
20165	1285	5	thread	thread	NN
20165	1285	6	round	round	IN
20165	1285	7	the	the	DT
20165	1285	8	two	two	CD
20165	1285	9	pins	pin	NNS
20165	1285	10	at	at	IN
20165	1285	11	the	the	DT
20165	1285	12	foci	foci	NN
20165	1285	13	_	_	NNP
20165	1285	14	ff	ff	NNP
20165	1285	15	·	·	NFP
20165	1285	16	_	_	NNP
20165	1285	17	and	and	CC
20165	1285	18	distend	distend	VB
20165	1285	19	it	-PRON-	PRP
20165	1285	20	with	with	IN
20165	1285	21	the	the	DT
20165	1285	22	pencil	pencil	NN
20165	1285	23	point	point	NN
20165	1285	24	until	until	IN
20165	1285	25	it	-PRON-	PRP
20165	1285	26	forms	form	VBZ
20165	1285	27	triangle	triangle	NNP
20165	1285	28	_	_	NNP
20165	1285	29	fdf	fdf	NNP
20165	1285	30	·	·	NFP
20165	1285	31	_	_	NNP
20165	1285	32	,	,	,
20165	1285	33	then	then	RB
20165	1285	34	push	push	VB
20165	1285	35	the	the	DT
20165	1285	36	pencil	pencil	NN
20165	1285	37	along	along	RB
20165	1285	38	and	and	CC
20165	1285	39	right	right	RB
20165	1285	40	round	round	NN
20165	1285	41	the	the	DT
20165	1285	42	two	two	CD
20165	1285	43	foci	foci	NN
20165	1285	44	,	,	,
20165	1285	45	which	which	WDT
20165	1285	46	being	be	VBG
20165	1285	47	guided	guide	VBN
20165	1285	48	by	by	IN
20165	1285	49	the	the	DT
20165	1285	50	thread	thread	NN
20165	1285	51	will	will	MD
20165	1285	52	draw	draw	VB
20165	1285	53	the	the	DT
20165	1285	54	curve	curve	NN
20165	1285	55	,	,	,
20165	1285	56	which	which	WDT
20165	1285	57	is	be	VBZ
20165	1285	58	a	a	DT
20165	1285	59	true	true	JJ
20165	1285	60	ellipse	ellipse	NN
20165	1285	61	,	,	,
20165	1285	62	and	and	CC
20165	1285	63	will	will	MD
20165	1285	64	pass	pass	VB
20165	1285	65	through	through	IN
20165	1285	66	the	the	DT
20165	1285	67	eight	eight	CD
20165	1285	68	points	point	NNS
20165	1285	69	indicated	indicate	VBN
20165	1285	70	in	in	IN
20165	1285	71	our	-PRON-	PRP$
20165	1285	72	first	first	JJ
20165	1285	73	figure	figure	NN
20165	1285	74	.	.	.
20165	1286	1	This	this	DT
20165	1286	2	will	will	MD
20165	1286	3	be	be	VB
20165	1286	4	a	a	DT
20165	1286	5	sufficient	sufficient	JJ
20165	1286	6	proof	proof	NN
20165	1286	7	that	that	IN
20165	1286	8	the	the	DT
20165	1286	9	circle	circle	NN
20165	1286	10	in	in	IN
20165	1286	11	perspective	perspective	NN
20165	1286	12	and	and	CC
20165	1286	13	the	the	DT
20165	1286	14	ellipse	ellipse	NN
20165	1286	15	are	be	VBP
20165	1286	16	identical	identical	JJ
20165	1286	17	curves	curve	NNS
20165	1286	18	.	.	.
20165	1287	1	We	-PRON-	PRP
20165	1287	2	must	must	MD
20165	1287	3	also	also	RB
20165	1287	4	remember	remember	VB
20165	1287	5	that	that	IN
20165	1287	6	the	the	DT
20165	1287	7	ellipse	ellipse	NN
20165	1287	8	is	be	VBZ
20165	1287	9	an	an	DT
20165	1287	10	oblique	oblique	JJ
20165	1287	11	projection	projection	NN
20165	1287	12	of	of	IN
20165	1287	13	a	a	DT
20165	1287	14	circle	circle	NN
20165	1287	15	,	,	,
20165	1287	16	or	or	CC
20165	1287	17	an	an	DT
20165	1287	18	oblique	oblique	JJ
20165	1287	19	section	section	NN
20165	1287	20	of	of	IN
20165	1287	21	a	a	DT
20165	1287	22	cone	cone	NN
20165	1287	23	.	.	.
20165	1288	1	The	the	DT
20165	1288	2	difference	difference	NN
20165	1288	3	between	between	IN
20165	1288	4	the	the	DT
20165	1288	5	two	two	CD
20165	1288	6	figures	figure	NNS
20165	1288	7	consists	consist	VBZ
20165	1288	8	in	in	IN
20165	1288	9	their	-PRON-	PRP$
20165	1288	10	centres	centre	NNS
20165	1288	11	not	not	RB
20165	1288	12	being	be	VBG
20165	1288	13	in	in	IN
20165	1288	14	the	the	DT
20165	1288	15	same	same	JJ
20165	1288	16	place	place	NN
20165	1288	17	,	,	,
20165	1288	18	that	that	DT
20165	1288	19	of	of	IN
20165	1288	20	the	the	DT
20165	1288	21	perspective	perspective	NN
20165	1288	22	circle	circle	NN
20165	1288	23	being	be	VBG
20165	1288	24	at	at	IN
20165	1288	25	_	_	NNP
20165	1288	26	c	c	NNP
20165	1288	27	_	_	NNP
20165	1288	28	,	,	,
20165	1288	29	higher	higher	RBR
20165	1288	30	up	up	RB
20165	1288	31	than	than	IN
20165	1288	32	_	_	NNP
20165	1288	33	e	e	NNP
20165	1288	34	_	_	NNP
20165	1288	35	the	the	DT
20165	1288	36	centre	centre	NN
20165	1288	37	of	of	IN
20165	1288	38	the	the	DT
20165	1288	39	ellipse	ellipse	NN
20165	1288	40	.	.	.
20165	1289	1	The	the	DT
20165	1289	2	latter	latter	JJ
20165	1289	3	being	be	VBG
20165	1289	4	a	a	DT
20165	1289	5	geometrical	geometrical	JJ
20165	1289	6	figure	figure	NN
20165	1289	7	,	,	,
20165	1289	8	its	-PRON-	PRP$
20165	1289	9	long	long	JJ
20165	1289	10	diameter	diameter	NN
20165	1289	11	is	be	VBZ
20165	1289	12	exactly	exactly	RB
20165	1289	13	in	in	IN
20165	1289	14	the	the	DT
20165	1289	15	centre	centre	NN
20165	1289	16	of	of	IN
20165	1289	17	the	the	DT
20165	1289	18	figure	figure	NN
20165	1289	19	,	,	,
20165	1289	20	whereas	whereas	IN
20165	1289	21	the	the	DT
20165	1289	22	centre	centre	NN
20165	1289	23	_	_	NNP
20165	1289	24	c	c	NNP
20165	1289	25	_	_	NNP
20165	1289	26	and	and	CC
20165	1289	27	the	the	DT
20165	1289	28	diameter	diameter	NN
20165	1289	29	of	of	IN
20165	1289	30	the	the	DT
20165	1289	31	perspective	perspective	NN
20165	1289	32	are	be	VBP
20165	1289	33	at	at	IN
20165	1289	34	the	the	DT
20165	1289	35	intersection	intersection	NN
20165	1289	36	of	of	IN
20165	1289	37	the	the	DT
20165	1289	38	diagonals	diagonal	NNS
20165	1289	39	of	of	IN
20165	1289	40	the	the	DT
20165	1289	41	perspective	perspective	JJ
20165	1289	42	square	square	NN
20165	1289	43	in	in	IN
20165	1289	44	which	which	WDT
20165	1289	45	it	-PRON-	PRP
20165	1289	46	is	be	VBZ
20165	1289	47	inscribed	inscribe	VBN
20165	1289	48	.	.	.
20165	1290	1	[	[	-LRB-
20165	1290	2	Illustration	illustration	NN
20165	1290	3	:	:	:
20165	1290	4	Fig	Fig	NNP
20165	1290	5	.	.	.
20165	1291	1	167	167	CD
20165	1291	2	.	.	.
20165	1291	3	]	]	-RRB-
20165	1292	1	XC	XC	NNP
20165	1292	2	FURTHER	further	JJ
20165	1292	3	ILLUSTRATION	illustration	NN
20165	1292	4	OF	of	IN
20165	1292	5	THE	the	DT
20165	1292	6	ELLIPSE	ELLIPSE	NNS
20165	1292	7	In	in	IN
20165	1292	8	order	order	NN
20165	1292	9	to	to	TO
20165	1292	10	show	show	VB
20165	1292	11	that	that	IN
20165	1292	12	the	the	DT
20165	1292	13	ellipse	ellipse	NN
20165	1292	14	drawn	draw	VBN
20165	1292	15	by	by	IN
20165	1292	16	a	a	DT
20165	1292	17	loop	loop	NN
20165	1292	18	as	as	IN
20165	1292	19	in	in	IN
20165	1292	20	the	the	DT
20165	1292	21	previous	previous	JJ
20165	1292	22	figure	figure	NN
20165	1292	23	is	be	VBZ
20165	1292	24	also	also	RB
20165	1292	25	a	a	DT
20165	1292	26	circle	circle	NN
20165	1292	27	in	in	IN
20165	1292	28	perspective	perspective	NN
20165	1292	29	we	-PRON-	PRP
20165	1292	30	must	must	MD
20165	1292	31	reconstruct	reconstruct	VB
20165	1292	32	around	around	IN
20165	1292	33	it	-PRON-	PRP
20165	1292	34	the	the	DT
20165	1292	35	square	square	NN
20165	1292	36	and	and	CC
20165	1292	37	its	-PRON-	PRP$
20165	1292	38	eight	eight	CD
20165	1292	39	points	point	NNS
20165	1292	40	by	by	IN
20165	1292	41	means	mean	NNS
20165	1292	42	of	of	IN
20165	1292	43	which	which	WDT
20165	1292	44	it	-PRON-	PRP
20165	1292	45	was	be	VBD
20165	1292	46	drawn	draw	VBN
20165	1292	47	in	in	IN
20165	1292	48	the	the	DT
20165	1292	49	first	first	JJ
20165	1292	50	instance	instance	NN
20165	1292	51	.	.	.
20165	1293	1	We	-PRON-	PRP
20165	1293	2	start	start	VBP
20165	1293	3	with	with	IN
20165	1293	4	nothing	nothing	NN
20165	1293	5	but	but	IN
20165	1293	6	the	the	DT
20165	1293	7	ellipse	ellipse	NN
20165	1293	8	itself	-PRON-	PRP
20165	1293	9	.	.	.
20165	1294	1	We	-PRON-	PRP
20165	1294	2	have	have	VBP
20165	1294	3	to	to	TO
20165	1294	4	find	find	VB
20165	1294	5	the	the	DT
20165	1294	6	points	point	NNS
20165	1294	7	of	of	IN
20165	1294	8	sight	sight	NN
20165	1294	9	and	and	CC
20165	1294	10	distance	distance	NN
20165	1294	11	,	,	,
20165	1294	12	the	the	DT
20165	1294	13	base	base	NN
20165	1294	14	,	,	,
20165	1294	15	&	&	CC
20165	1294	16	c.	c.	NNP
20165	1294	17	Let	let	VB
20165	1294	18	us	-PRON-	PRP
20165	1294	19	start	start	VB
20165	1294	20	with	with	IN
20165	1294	21	base	base	NN
20165	1294	22	_	_	NNP
20165	1294	23	AB	AB	NNP
20165	1294	24	_	_	NNP
20165	1294	25	,	,	,
20165	1294	26	a	a	DT
20165	1294	27	horizontal	horizontal	JJ
20165	1294	28	tangent	tangent	NN
20165	1294	29	to	to	IN
20165	1294	30	the	the	DT
20165	1294	31	curve	curve	NN
20165	1294	32	extending	extend	VBG
20165	1294	33	beyond	beyond	IN
20165	1294	34	it	-PRON-	PRP
20165	1294	35	on	on	IN
20165	1294	36	either	either	DT
20165	1294	37	side	side	NN
20165	1294	38	.	.	.
20165	1295	1	From	from	IN
20165	1295	2	_	_	NNP
20165	1295	3	A	A	NNP
20165	1295	4	_	_	NNP
20165	1295	5	and	and	CC
20165	1295	6	_	_	NNP
20165	1295	7	B	B	NNP
20165	1295	8	_	_	NNP
20165	1295	9	draw	draw	VBP
20165	1295	10	two	two	CD
20165	1295	11	other	other	JJ
20165	1295	12	tangents	tangent	NNS
20165	1295	13	so	so	IN
20165	1295	14	that	that	IN
20165	1295	15	they	-PRON-	PRP
20165	1295	16	shall	shall	MD
20165	1295	17	touch	touch	VB
20165	1295	18	the	the	DT
20165	1295	19	curve	curve	NN
20165	1295	20	at	at	IN
20165	1295	21	points	point	NNS
20165	1295	22	such	such	JJ
20165	1295	23	as	as	IN
20165	1295	24	_	_	NNP
20165	1295	25	TT	TT	NNP
20165	1295	26	·	·	NFP
20165	1295	27	_	_	NNP
20165	1295	28	a	a	DT
20165	1295	29	little	little	JJ
20165	1295	30	above	above	IN
20165	1295	31	the	the	DT
20165	1295	32	transverse	transverse	JJ
20165	1295	33	diameter	diameter	NN
20165	1295	34	and	and	CC
20165	1295	35	on	on	IN
20165	1295	36	a	a	DT
20165	1295	37	level	level	NN
20165	1295	38	with	with	IN
20165	1295	39	each	each	DT
20165	1295	40	other	other	JJ
20165	1295	41	.	.	.
20165	1296	1	Produce	produce	VB
20165	1296	2	these	these	DT
20165	1296	3	tangents	tangent	NNS
20165	1296	4	till	till	IN
20165	1296	5	they	-PRON-	PRP
20165	1296	6	meet	meet	VBP
20165	1296	7	at	at	IN
20165	1296	8	point	point	NN
20165	1296	9	_	_	NNP
20165	1296	10	S	S	NNP
20165	1296	11	_	_	NNP
20165	1296	12	,	,	,
20165	1296	13	which	which	WDT
20165	1296	14	will	will	MD
20165	1296	15	be	be	VB
20165	1296	16	the	the	DT
20165	1296	17	point	point	NN
20165	1296	18	of	of	IN
20165	1296	19	sight	sight	NN
20165	1296	20	.	.	.
20165	1297	1	Through	through	IN
20165	1297	2	this	this	DT
20165	1297	3	point	point	NN
20165	1297	4	draw	draw	VBP
20165	1297	5	horizontal	horizontal	JJ
20165	1297	6	line	line	NN
20165	1297	7	_	_	NNP
20165	1297	8	H	H	NNP
20165	1297	9	_	_	NNP
20165	1297	10	.	.	.
20165	1298	1	Now	now	RB
20165	1298	2	draw	draw	VB
20165	1298	3	tangent	tangent	NN
20165	1298	4	_	_	NNP
20165	1298	5	CD	CD	NNP
20165	1298	6	_	_	NNP
20165	1298	7	parallel	parallel	NN
20165	1298	8	to	to	IN
20165	1298	9	_	_	NNP
20165	1298	10	AB	AB	NNP
20165	1298	11	_	_	NNP
20165	1298	12	.	.	.
20165	1299	1	Draw	draw	VB
20165	1299	2	diagonal	diagonal	JJ
20165	1299	3	_	_	NNP
20165	1299	4	AD	AD	NNP
20165	1299	5	_	_	NNP
20165	1299	6	till	till	IN
20165	1299	7	it	-PRON-	PRP
20165	1299	8	cuts	cut	VBZ
20165	1299	9	the	the	DT
20165	1299	10	horizon	horizon	NN
20165	1299	11	at	at	IN
20165	1299	12	the	the	DT
20165	1299	13	point	point	NN
20165	1299	14	of	of	IN
20165	1299	15	distance	distance	NN
20165	1299	16	,	,	,
20165	1299	17	this	this	DT
20165	1299	18	will	will	MD
20165	1299	19	cut	cut	VB
20165	1299	20	through	through	IN
20165	1299	21	diameter	diameter	NN
20165	1299	22	of	of	IN
20165	1299	23	circle	circle	NN
20165	1299	24	at	at	IN
20165	1299	25	its	-PRON-	PRP$
20165	1299	26	centre	centre	NN
20165	1299	27	,	,	,
20165	1299	28	and	and	CC
20165	1299	29	so	so	RB
20165	1299	30	proceed	proceed	VB
20165	1299	31	to	to	TO
20165	1299	32	find	find	VB
20165	1299	33	the	the	DT
20165	1299	34	eight	eight	CD
20165	1299	35	points	point	NNS
20165	1299	36	through	through	IN
20165	1299	37	which	which	WDT
20165	1299	38	the	the	DT
20165	1299	39	perspective	perspective	NN
20165	1299	40	circle	circle	NN
20165	1299	41	passes	pass	VBZ
20165	1299	42	,	,	,
20165	1299	43	when	when	WRB
20165	1299	44	it	-PRON-	PRP
20165	1299	45	will	will	MD
20165	1299	46	be	be	VB
20165	1299	47	found	find	VBN
20165	1299	48	that	that	IN
20165	1299	49	they	-PRON-	PRP
20165	1299	50	all	all	DT
20165	1299	51	lie	lie	VBP
20165	1299	52	on	on	IN
20165	1299	53	the	the	DT
20165	1299	54	ellipse	ellipse	NN
20165	1299	55	we	-PRON-	PRP
20165	1299	56	have	have	VBP
20165	1299	57	drawn	draw	VBN
20165	1299	58	with	with	IN
20165	1299	59	the	the	DT
20165	1299	60	loop	loop	NN
20165	1299	61	,	,	,
20165	1299	62	showing	show	VBG
20165	1299	63	that	that	IN
20165	1299	64	the	the	DT
20165	1299	65	two	two	CD
20165	1299	66	curves	curve	NNS
20165	1299	67	are	be	VBP
20165	1299	68	identical	identical	JJ
20165	1299	69	although	although	IN
20165	1299	70	their	-PRON-	PRP$
20165	1299	71	centres	centre	NNS
20165	1299	72	are	be	VBP
20165	1299	73	distinct	distinct	JJ
20165	1299	74	.	.	.
20165	1300	1	[	[	-LRB-
20165	1300	2	Illustration	illustration	NN
20165	1300	3	:	:	:
20165	1300	4	Fig	Fig	NNP
20165	1300	5	.	.	.
20165	1301	1	168	168	CD
20165	1301	2	.	.	.
20165	1301	3	]	]	-RRB-
20165	1302	1	XCI	XCI	NNP
20165	1302	2	HOW	how	WRB
20165	1302	3	TO	to	TO
20165	1302	4	DRAW	draw	VB
20165	1302	5	A	a	DT
20165	1302	6	CIRCLE	circle	NN
20165	1302	7	IN	in	IN
20165	1302	8	PERSPECTIVE	perspective	NN
20165	1302	9	WITHOUT	without	IN
20165	1302	10	A	a	DT
20165	1302	11	GEOMETRICAL	GEOMETRICAL	NNP
20165	1302	12	PLAN	PLAN	NNP
20165	1302	13	Divide	Divide	NNP
20165	1302	14	base	base	NN
20165	1302	15	_	_	NNP
20165	1302	16	AB	AB	NNP
20165	1302	17	_	_	NNP
20165	1302	18	into	into	IN
20165	1302	19	four	four	CD
20165	1302	20	equal	equal	JJ
20165	1302	21	parts	part	NNS
20165	1302	22	.	.	.
20165	1303	1	At	at	IN
20165	1303	2	_	_	NNP
20165	1303	3	B	B	NNP
20165	1303	4	_	_	NNP
20165	1303	5	drop	drop	NN
20165	1303	6	perpendicular	perpendicular	JJ
20165	1303	7	_	_	NNP
20165	1303	8	Bn	Bn	NNP
20165	1303	9	_	_	NNP
20165	1303	10	,	,	,
20165	1303	11	making	make	VBG
20165	1303	12	_	_	NNP
20165	1303	13	Bn	Bn	NNP
20165	1303	14	_	_	NNP
20165	1303	15	equal	equal	JJ
20165	1303	16	to	to	IN
20165	1303	17	_	_	NNP
20165	1303	18	Bm	Bm	NNP
20165	1303	19	_	_	NNP
20165	1303	20	,	,	,
20165	1303	21	or	or	CC
20165	1303	22	one	one	CD
20165	1303	23	-	-	HYPH
20165	1303	24	fourth	fourth	NN
20165	1303	25	of	of	IN
20165	1303	26	base	base	NN
20165	1303	27	.	.	.
20165	1304	1	Join	join	VB
20165	1304	2	_	_	NNP
20165	1304	3	mn	mn	NNP
20165	1304	4	_	_	NNP
20165	1304	5	and	and	CC
20165	1304	6	transfer	transfer	VB
20165	1304	7	this	this	DT
20165	1304	8	measurement	measurement	NN
20165	1304	9	to	to	IN
20165	1304	10	each	each	DT
20165	1304	11	side	side	NN
20165	1304	12	of	of	IN
20165	1304	13	_	_	NNP
20165	1304	14	d	d	NNP
20165	1304	15	_	_	NNP
20165	1304	16	on	on	IN
20165	1304	17	base	base	NN
20165	1304	18	line	line	NN
20165	1304	19	;	;	:
20165	1304	20	that	that	RB
20165	1304	21	is	is	RB
20165	1304	22	,	,	,
20165	1304	23	make	make	VB
20165	1304	24	_	_	NNP
20165	1304	25	df	df	NNP
20165	1304	26	_	_	NNP
20165	1304	27	and	and	CC
20165	1304	28	_	_	NNP
20165	1304	29	df	df	NNP
20165	1304	30	·	·	NFP
20165	1304	31	_	_	NNP
20165	1304	32	equal	equal	JJ
20165	1304	33	to	to	IN
20165	1304	34	_	_	NNP
20165	1304	35	mn	mn	NNP
20165	1304	36	_	_	NNP
20165	1304	37	.	.	.
20165	1305	1	Draw	Draw	NNP
20165	1305	2	_	_	NNP
20165	1305	3	fS	fS	NNP
20165	1305	4	_	_	NNP
20165	1305	5	and	and	CC
20165	1305	6	_	_	NNP
20165	1305	7	f·S	f·S	NNP
20165	1305	8	_	_	NNP
20165	1305	9	,	,	,
20165	1305	10	and	and	CC
20165	1305	11	the	the	DT
20165	1305	12	intersections	intersection	NNS
20165	1305	13	of	of	IN
20165	1305	14	these	these	DT
20165	1305	15	lines	line	NNS
20165	1305	16	with	with	IN
20165	1305	17	the	the	DT
20165	1305	18	diagonals	diagonal	NNS
20165	1305	19	of	of	IN
20165	1305	20	square	square	NN
20165	1305	21	will	will	MD
20165	1305	22	give	give	VB
20165	1305	23	us	-PRON-	PRP
20165	1305	24	the	the	DT
20165	1305	25	four	four	CD
20165	1305	26	points	point	NNS
20165	1305	27	_	_	NNP
20165	1305	28	o	o	NN
20165	1305	29	o	o	NN
20165	1305	30	o	o	NN
20165	1305	31	o	o	XX
20165	1305	32	_	_	NN
20165	1305	33	.	.	.
20165	1306	1	[	[	-LRB-
20165	1306	2	Illustration	illustration	NN
20165	1306	3	:	:	:
20165	1306	4	Fig	Fig	NNP
20165	1306	5	.	.	.
20165	1307	1	169	169	CD
20165	1307	2	.	.	.
20165	1307	3	]	]	-RRB-
20165	1308	1	The	the	DT
20165	1308	2	reason	reason	NN
20165	1308	3	of	of	IN
20165	1308	4	this	this	DT
20165	1308	5	is	be	VBZ
20165	1308	6	that	that	IN
20165	1308	7	_	_	NNP
20165	1308	8	ff	ff	NNP
20165	1308	9	·	·	NFP
20165	1308	10	_	_	NNP
20165	1308	11	is	be	VBZ
20165	1308	12	the	the	DT
20165	1308	13	measurement	measurement	NN
20165	1308	14	on	on	IN
20165	1308	15	the	the	DT
20165	1308	16	base	base	NN
20165	1308	17	_	_	NNP
20165	1308	18	AB	AB	NNP
20165	1308	19	_	_	NNP
20165	1308	20	of	of	IN
20165	1308	21	another	another	DT
20165	1308	22	square	square	NN
20165	1308	23	_	_	NNP
20165	1308	24	o	o	NN
20165	1308	25	o	o	NN
20165	1308	26	o	o	NN
20165	1308	27	o	o	XX
20165	1308	28	_	_	NN
20165	1308	29	which	which	WDT
20165	1308	30	is	be	VBZ
20165	1308	31	exactly	exactly	RB
20165	1308	32	half	half	NN
20165	1308	33	of	of	IN
20165	1308	34	the	the	DT
20165	1308	35	outer	outer	JJ
20165	1308	36	square	square	NN
20165	1308	37	.	.	.
20165	1309	1	For	for	IN
20165	1309	2	if	if	IN
20165	1309	3	we	-PRON-	PRP
20165	1309	4	inscribe	inscribe	VBP
20165	1309	5	a	a	DT
20165	1309	6	circle	circle	NN
20165	1309	7	in	in	IN
20165	1309	8	a	a	DT
20165	1309	9	square	square	NN
20165	1309	10	and	and	CC
20165	1309	11	then	then	RB
20165	1309	12	inscribe	inscribe	VB
20165	1309	13	a	a	DT
20165	1309	14	second	second	JJ
20165	1309	15	square	square	NN
20165	1309	16	in	in	IN
20165	1309	17	that	that	DT
20165	1309	18	circle	circle	NN
20165	1309	19	,	,	,
20165	1309	20	this	this	DT
20165	1309	21	second	second	JJ
20165	1309	22	square	square	NN
20165	1309	23	will	will	MD
20165	1309	24	be	be	VB
20165	1309	25	exactly	exactly	RB
20165	1309	26	half	half	PDT
20165	1309	27	the	the	DT
20165	1309	28	area	area	NN
20165	1309	29	of	of	IN
20165	1309	30	the	the	DT
20165	1309	31	larger	large	JJR
20165	1309	32	one	one	CD
20165	1309	33	;	;	:
20165	1309	34	for	for	IN
20165	1309	35	its	-PRON-	PRP$
20165	1309	36	side	side	NN
20165	1309	37	will	will	MD
20165	1309	38	be	be	VB
20165	1309	39	equal	equal	JJ
20165	1309	40	to	to	IN
20165	1309	41	half	half	PDT
20165	1309	42	the	the	DT
20165	1309	43	diagonal	diagonal	JJ
20165	1309	44	of	of	IN
20165	1309	45	the	the	DT
20165	1309	46	larger	large	JJR
20165	1309	47	square	square	NN
20165	1309	48	,	,	,
20165	1309	49	as	as	IN
20165	1309	50	can	can	MD
20165	1309	51	be	be	VB
20165	1309	52	seen	see	VBN
20165	1309	53	by	by	IN
20165	1309	54	studying	study	VBG
20165	1309	55	the	the	DT
20165	1309	56	following	follow	VBG
20165	1309	57	figures	figure	NNS
20165	1309	58	.	.	.
20165	1310	1	In	in	IN
20165	1310	2	Fig	Fig	NNP
20165	1310	3	.	.	.
20165	1311	1	170	170	CD
20165	1311	2	,	,	,
20165	1311	3	for	for	IN
20165	1311	4	instance	instance	NN
20165	1311	5	,	,	,
20165	1311	6	the	the	DT
20165	1311	7	side	side	NN
20165	1311	8	of	of	IN
20165	1311	9	small	small	JJ
20165	1311	10	square	square	NN
20165	1311	11	_	_	NNP
20165	1311	12	K	K	NNP
20165	1311	13	_	_	NNP
20165	1311	14	is	be	VBZ
20165	1311	15	half	half	PDT
20165	1311	16	the	the	DT
20165	1311	17	diagonal	diagonal	JJ
20165	1311	18	of	of	IN
20165	1311	19	large	large	JJ
20165	1311	20	square	square	NN
20165	1311	21	_	_	NNP
20165	1311	22	o	o	XX
20165	1311	23	_	_	NNP
20165	1311	24	.	.	.
20165	1312	1	[	[	-LRB-
20165	1312	2	Illustration	illustration	NN
20165	1312	3	:	:	:
20165	1312	4	Fig	Fig	NNP
20165	1312	5	.	.	.
20165	1313	1	170	170	CD
20165	1313	2	.	.	.
20165	1313	3	]	]	-RRB-
20165	1314	1	[	[	-LRB-
20165	1314	2	Illustration	illustration	NN
20165	1314	3	:	:	:
20165	1314	4	Fig	Fig	NNP
20165	1314	5	.	.	.
20165	1315	1	171	171	LS
20165	1315	2	.	.	.
20165	1315	3	]	]	-RRB-
20165	1316	1	In	in	IN
20165	1316	2	Fig	Fig	NNP
20165	1316	3	.	.	.
20165	1317	1	171	171	CD
20165	1317	2	,	,	,
20165	1317	3	_	_	NNP
20165	1317	4	CB	CB	NNP
20165	1317	5	_	_	NNP
20165	1317	6	represents	represent	VBZ
20165	1317	7	half	half	NN
20165	1317	8	of	of	IN
20165	1317	9	diagonal	diagonal	JJ
20165	1317	10	_	_	NNP
20165	1317	11	EB	EB	NNP
20165	1317	12	_	_	NNP
20165	1317	13	of	of	IN
20165	1317	14	the	the	DT
20165	1317	15	outer	outer	JJ
20165	1317	16	square	square	NN
20165	1317	17	in	in	IN
20165	1317	18	which	which	WDT
20165	1317	19	the	the	DT
20165	1317	20	circle	circle	NN
20165	1317	21	is	be	VBZ
20165	1317	22	inscribed	inscribe	VBN
20165	1317	23	.	.	.
20165	1318	1	By	by	IN
20165	1318	2	taking	take	VBG
20165	1318	3	a	a	DT
20165	1318	4	fourth	fourth	JJ
20165	1318	5	of	of	IN
20165	1318	6	the	the	DT
20165	1318	7	base	base	NN
20165	1318	8	_	_	NNP
20165	1318	9	mB	mB	NNP
20165	1318	10	_	_	NNP
20165	1318	11	and	and	CC
20165	1318	12	drawing	drawing	NN
20165	1318	13	perpendicular	perpendicular	JJ
20165	1318	14	_	_	NNP
20165	1318	15	mh	mh	NNP
20165	1318	16	_	_	NNP
20165	1318	17	we	-PRON-	PRP
20165	1318	18	cut	cut	VBD
20165	1318	19	_	_	NNP
20165	1318	20	CB	CB	NNP
20165	1318	21	_	_	NNP
20165	1318	22	at	at	IN
20165	1318	23	_	_	NNP
20165	1318	24	h	h	NNP
20165	1318	25	_	_	NNP
20165	1318	26	in	in	IN
20165	1318	27	two	two	CD
20165	1318	28	equal	equal	JJ
20165	1318	29	parts	part	NNS
20165	1318	30	,	,	,
20165	1318	31	_	_	NNP
20165	1318	32	Ch	Ch	NNP
20165	1318	33	_	_	NNP
20165	1318	34	,	,	,
20165	1318	35	_	_	NNP
20165	1318	36	hB	hB	NNP
20165	1318	37	_	_	NNP
20165	1318	38	.	.	.
20165	1319	1	It	-PRON-	PRP
20165	1319	2	will	will	MD
20165	1319	3	be	be	VB
20165	1319	4	seen	see	VBN
20165	1319	5	that	that	IN
20165	1319	6	_	_	NNP
20165	1319	7	hB	hB	NNP
20165	1319	8	_	_	NNP
20165	1319	9	is	be	VBZ
20165	1319	10	equal	equal	JJ
20165	1319	11	to	to	IN
20165	1319	12	_	_	NNP
20165	1319	13	mn	mn	NNP
20165	1319	14	_	_	NNP
20165	1319	15	,	,	,
20165	1319	16	one	one	CD
20165	1319	17	-	-	HYPH
20165	1319	18	quarter	quarter	NN
20165	1319	19	of	of	IN
20165	1319	20	the	the	DT
20165	1319	21	diagonal	diagonal	JJ
20165	1319	22	,	,	,
20165	1319	23	so	so	CC
20165	1319	24	if	if	IN
20165	1319	25	we	-PRON-	PRP
20165	1319	26	measure	measure	VBP
20165	1319	27	_	_	NNP
20165	1319	28	mn	mn	NNP
20165	1319	29	_	_	NNP
20165	1319	30	on	on	IN
20165	1319	31	each	each	DT
20165	1319	32	side	side	NN
20165	1319	33	of	of	IN
20165	1319	34	_	_	NNP
20165	1319	35	D	D	NNP
20165	1319	36	_	_	NNP
20165	1319	37	we	-PRON-	PRP
20165	1319	38	get	get	VBP
20165	1319	39	_	_	NNP
20165	1319	40	ff	ff	NNP
20165	1319	41	·	·	NFP
20165	1319	42	_	_	NNP
20165	1319	43	equal	equal	JJ
20165	1319	44	to	to	IN
20165	1319	45	_	_	NNP
20165	1319	46	CB	CB	NNP
20165	1319	47	_	_	NNP
20165	1319	48	,	,	,
20165	1319	49	or	or	CC
20165	1319	50	half	half	PDT
20165	1319	51	the	the	DT
20165	1319	52	diagonal	diagonal	JJ
20165	1319	53	.	.	.
20165	1320	1	By	by	IN
20165	1320	2	drawing	draw	VBG
20165	1320	3	_	_	NNP
20165	1320	4	ff	ff	NNP
20165	1320	5	_	_	NNP
20165	1320	6	,	,	,
20165	1320	7	_	_	NNP
20165	1320	8	f·f	f·f	NNP
20165	1320	9	_	_	NNP
20165	1320	10	passing	pass	VBG
20165	1320	11	through	through	IN
20165	1320	12	the	the	DT
20165	1320	13	diagonals	diagonal	NNS
20165	1320	14	we	-PRON-	PRP
20165	1320	15	get	get	VBP
20165	1320	16	the	the	DT
20165	1320	17	four	four	CD
20165	1320	18	points	point	NNS
20165	1320	19	_	_	NNP
20165	1320	20	o	o	NN
20165	1320	21	o	o	NN
20165	1320	22	o	o	NN
20165	1320	23	o	o	XX
20165	1320	24	_	_	NNP
20165	1320	25	through	through	IN
20165	1320	26	which	which	WDT
20165	1320	27	to	to	TO
20165	1320	28	draw	draw	VB
20165	1320	29	the	the	DT
20165	1320	30	smaller	small	JJR
20165	1320	31	square	square	NN
20165	1320	32	.	.	.
20165	1321	1	Without	without	IN
20165	1321	2	referring	refer	VBG
20165	1321	3	to	to	IN
20165	1321	4	geometry	geometry	NN
20165	1321	5	we	-PRON-	PRP
20165	1321	6	can	can	MD
20165	1321	7	see	see	VB
20165	1321	8	at	at	IN
20165	1321	9	a	a	DT
20165	1321	10	glance	glance	NN
20165	1321	11	by	by	IN
20165	1321	12	Fig	Fig	NNP
20165	1321	13	.	.	.
20165	1322	1	172	172	CD
20165	1322	2	,	,	,
20165	1322	3	where	where	WRB
20165	1322	4	we	-PRON-	PRP
20165	1322	5	have	have	VBP
20165	1322	6	simply	simply	RB
20165	1322	7	turned	turn	VBN
20165	1322	8	the	the	DT
20165	1322	9	square	square	NN
20165	1322	10	_	_	NNP
20165	1322	11	o	o	NN
20165	1322	12	o	o	NN
20165	1322	13	o	o	NN
20165	1322	14	o	o	XX
20165	1322	15	_	_	NNP
20165	1322	16	on	on	IN
20165	1322	17	its	-PRON-	PRP$
20165	1322	18	centre	centre	NN
20165	1322	19	so	so	IN
20165	1322	20	that	that	IN
20165	1322	21	its	-PRON-	PRP$
20165	1322	22	angles	angle	NNS
20165	1322	23	touch	touch	VBP
20165	1322	24	the	the	DT
20165	1322	25	sides	side	NNS
20165	1322	26	of	of	IN
20165	1322	27	the	the	DT
20165	1322	28	outer	outer	JJ
20165	1322	29	square	square	NN
20165	1322	30	,	,	,
20165	1322	31	that	that	IN
20165	1322	32	it	-PRON-	PRP
20165	1322	33	is	be	VBZ
20165	1322	34	exactly	exactly	RB
20165	1322	35	half	half	NN
20165	1322	36	of	of	IN
20165	1322	37	square	square	NN
20165	1322	38	_	_	NNP
20165	1322	39	ABEF	ABEF	NNP
20165	1322	40	_	_	NNP
20165	1322	41	,	,	,
20165	1322	42	since	since	IN
20165	1322	43	each	each	DT
20165	1322	44	quarter	quarter	NN
20165	1322	45	of	of	IN
20165	1322	46	it	-PRON-	PRP
20165	1322	47	,	,	,
20165	1322	48	such	such	JJ
20165	1322	49	as	as	IN
20165	1322	50	EoCo	EoCo	NNP
20165	1322	51	,	,	,
20165	1322	52	is	be	VBZ
20165	1322	53	bisected	bisect	VBN
20165	1322	54	by	by	IN
20165	1322	55	its	-PRON-	PRP$
20165	1322	56	diagonal	diagonal	JJ
20165	1322	57	_	_	NNP
20165	1322	58	oo	oo	NN
20165	1322	59	_	_	NNP
20165	1322	60	.	.	.
20165	1323	1	[	[	-LRB-
20165	1323	2	Illustration	illustration	NN
20165	1323	3	:	:	:
20165	1323	4	Fig	Fig	NNP
20165	1323	5	.	.	.
20165	1324	1	172	172	CD
20165	1324	2	.	.	.
20165	1324	3	]	]	-RRB-
20165	1325	1	[	[	-LRB-
20165	1325	2	Illustration	illustration	NN
20165	1325	3	:	:	:
20165	1325	4	Fig	Fig	NNP
20165	1325	5	.	.	.
20165	1326	1	173	173	CD
20165	1326	2	.	.	.
20165	1326	3	]	]	-RRB-
20165	1327	1	XCII	xcii	NN
20165	1327	2	HOW	how	WRB
20165	1327	3	TO	to	TO
20165	1327	4	DRAW	draw	VB
20165	1327	5	A	a	DT
20165	1327	6	CIRCLE	CIRCLE	NNP
20165	1327	7	IN	in	IN
20165	1327	8	ANGULAR	ANGULAR	NNP
20165	1327	9	PERSPECTIVE	perspective	NN
20165	1327	10	Let	Let	VBN
20165	1327	11	_	_	NNP
20165	1327	12	ABCD	ABCD	NNP
20165	1327	13	_	_	NNP
20165	1327	14	be	be	VB
20165	1327	15	the	the	DT
20165	1327	16	oblique	oblique	JJ
20165	1327	17	square	square	NN
20165	1327	18	.	.	.
20165	1328	1	Produce	Produce	NNP
20165	1328	2	_	_	NNP
20165	1328	3	VA	VA	NNP
20165	1328	4	_	_	NNP
20165	1328	5	till	till	IN
20165	1328	6	it	-PRON-	PRP
20165	1328	7	cuts	cut	VBZ
20165	1328	8	the	the	DT
20165	1328	9	base	base	NN
20165	1328	10	line	line	NN
20165	1328	11	at	at	IN
20165	1328	12	_	_	NNP
20165	1328	13	G	G	NNP
20165	1328	14	_	_	NNP
20165	1328	15	.	.	.
20165	1329	1	[	[	-LRB-
20165	1329	2	Illustration	illustration	NN
20165	1329	3	:	:	:
20165	1329	4	Fig	Fig	NNP
20165	1329	5	.	.	.
20165	1330	1	174	174	CD
20165	1330	2	.	.	.
20165	1330	3	]	]	-RRB-
20165	1331	1	Take	take	VB
20165	1331	2	_	_	NNP
20165	1331	3	mD	mD	NNP
20165	1331	4	_	_	NNP
20165	1331	5	,	,	,
20165	1331	6	the	the	DT
20165	1331	7	fourth	fourth	JJ
20165	1331	8	of	of	IN
20165	1331	9	the	the	DT
20165	1331	10	base	base	NN
20165	1331	11	.	.	.
20165	1332	1	Find	find	VB
20165	1332	2	_	_	NNP
20165	1332	3	mn	mn	NNP
20165	1332	4	_	_	NNP
20165	1332	5	as	as	IN
20165	1332	6	in	in	IN
20165	1332	7	Fig	Fig	NNP
20165	1332	8	.	.	.
20165	1333	1	171	171	CD
20165	1333	2	,	,	,
20165	1333	3	measure	measure	VB
20165	1333	4	it	-PRON-	PRP
20165	1333	5	on	on	IN
20165	1333	6	each	each	DT
20165	1333	7	side	side	NN
20165	1333	8	of	of	IN
20165	1333	9	_	_	NNP
20165	1333	10	E	E	NNP
20165	1333	11	_	_	NNP
20165	1333	12	,	,	,
20165	1333	13	and	and	CC
20165	1333	14	so	so	RB
20165	1333	15	obtain	obtain	VB
20165	1333	16	_	_	NNP
20165	1333	17	Ef	Ef	NNP
20165	1333	18	_	_	NNP
20165	1333	19	and	and	CC
20165	1333	20	_	_	NNP
20165	1333	21	Ef	Ef	NNP
20165	1333	22	·	·	NFP
20165	1333	23	_	_	NNP
20165	1333	24	,	,	,
20165	1333	25	and	and	CC
20165	1333	26	proceed	proceed	VBP
20165	1333	27	to	to	TO
20165	1333	28	draw	draw	VB
20165	1333	29	_	_	NNP
20165	1333	30	fV	fV	NNP
20165	1333	31	_	_	NNP
20165	1333	32	,	,	,
20165	1333	33	_	_	NNP
20165	1333	34	EV	EV	NNP
20165	1333	35	_	_	NNP
20165	1333	36	,	,	,
20165	1333	37	_	_	NNP
20165	1333	38	f·V	f·v	NN
20165	1333	39	_	_	NNP
20165	1333	40	and	and	CC
20165	1333	41	the	the	DT
20165	1333	42	diagonals	diagonal	NNS
20165	1333	43	,	,	,
20165	1333	44	whose	whose	WP$
20165	1333	45	intersections	intersection	NNS
20165	1333	46	with	with	IN
20165	1333	47	these	these	DT
20165	1333	48	lines	line	NNS
20165	1333	49	will	will	MD
20165	1333	50	give	give	VB
20165	1333	51	us	-PRON-	PRP
20165	1333	52	the	the	DT
20165	1333	53	eight	eight	CD
20165	1333	54	points	point	NNS
20165	1333	55	through	through	IN
20165	1333	56	which	which	WDT
20165	1333	57	to	to	TO
20165	1333	58	draw	draw	VB
20165	1333	59	the	the	DT
20165	1333	60	circle	circle	NN
20165	1333	61	.	.	.
20165	1334	1	In	in	IN
20165	1334	2	fact	fact	NN
20165	1334	3	the	the	DT
20165	1334	4	process	process	NN
20165	1334	5	is	be	VBZ
20165	1334	6	the	the	DT
20165	1334	7	same	same	JJ
20165	1334	8	as	as	IN
20165	1334	9	in	in	IN
20165	1334	10	parallel	parallel	JJ
20165	1334	11	perspective	perspective	NN
20165	1334	12	,	,	,
20165	1334	13	only	only	RB
20165	1334	14	instead	instead	RB
20165	1334	15	of	of	IN
20165	1334	16	making	make	VBG
20165	1334	17	our	-PRON-	PRP$
20165	1334	18	divisions	division	NNS
20165	1334	19	on	on	IN
20165	1334	20	the	the	DT
20165	1334	21	actual	actual	JJ
20165	1334	22	base	base	NN
20165	1334	23	_	_	NNP
20165	1334	24	AD	AD	NNP
20165	1334	25	_	_	NNP
20165	1334	26	of	of	IN
20165	1334	27	the	the	DT
20165	1334	28	square	square	NN
20165	1334	29	,	,	,
20165	1334	30	we	-PRON-	PRP
20165	1334	31	make	make	VBP
20165	1334	32	them	-PRON-	PRP
20165	1334	33	on	on	IN
20165	1334	34	_	_	NNP
20165	1334	35	GD	GD	NNP
20165	1334	36	_	_	NNP
20165	1334	37	,	,	,
20165	1334	38	the	the	DT
20165	1334	39	base	base	NN
20165	1334	40	line	line	NN
20165	1334	41	.	.	.
20165	1335	1	To	to	TO
20165	1335	2	obtain	obtain	VB
20165	1335	3	the	the	DT
20165	1335	4	central	central	JJ
20165	1335	5	line	line	NN
20165	1335	6	_	_	NNP
20165	1335	7	hh	hh	NNP
20165	1335	8	_	_	NNP
20165	1335	9	passing	pass	VBG
20165	1335	10	through	through	IN
20165	1335	11	_	_	NNP
20165	1335	12	O	O	NNP
20165	1335	13	_	_	NNP
20165	1335	14	,	,	,
20165	1335	15	we	-PRON-	PRP
20165	1335	16	can	can	MD
20165	1335	17	make	make	VB
20165	1335	18	use	use	NN
20165	1335	19	of	of	IN
20165	1335	20	diagonals	diagonal	NNS
20165	1335	21	of	of	IN
20165	1335	22	the	the	DT
20165	1335	23	half	half	JJ
20165	1335	24	squares	square	NNS
20165	1335	25	;	;	:
20165	1335	26	that	that	RB
20165	1335	27	is	is	RB
20165	1335	28	,	,	,
20165	1335	29	if	if	IN
20165	1335	30	the	the	DT
20165	1335	31	other	other	JJ
20165	1335	32	vanishing	vanishing	NN
20165	1335	33	point	point	NN
20165	1335	34	is	be	VBZ
20165	1335	35	inaccessible	inaccessible	JJ
20165	1335	36	,	,	,
20165	1335	37	as	as	IN
20165	1335	38	in	in	IN
20165	1335	39	this	this	DT
20165	1335	40	case	case	NN
20165	1335	41	.	.	.
20165	1336	1	XCIII	xciii	NN
20165	1336	2	HOW	how	WRB
20165	1336	3	TO	to	TO
20165	1336	4	DRAW	draw	VB
20165	1336	5	A	a	DT
20165	1336	6	CIRCLE	circle	NN
20165	1336	7	IN	in	IN
20165	1336	8	PERSPECTIVE	perspective	NN
20165	1336	9	MORE	MORE	JJR
20165	1336	10	CORRECTLY	CORRECTLY	NNP
20165	1336	11	,	,	,
20165	1336	12	BY	by	IN
20165	1336	13	USING	USING	NNP
20165	1336	14	SIXTEEN	SIXTEEN	NNP
20165	1336	15	GUIDING	GUIDING	NNP
20165	1336	16	POINTS	POINTS	NNP
20165	1336	17	First	first	RB
20165	1336	18	draw	draw	VBP
20165	1336	19	square	square	NN
20165	1336	20	_	_	NNP
20165	1336	21	ABCD	ABCD	NNP
20165	1336	22	_	_	NNP
20165	1336	23	.	.	.
20165	1337	1	From	from	IN
20165	1337	2	_	_	NNP
20165	1337	3	O	O	NNP
20165	1337	4	_	_	NNP
20165	1337	5	,	,	,
20165	1337	6	the	the	DT
20165	1337	7	middle	middle	NN
20165	1337	8	of	of	IN
20165	1337	9	the	the	DT
20165	1337	10	base	base	NN
20165	1337	11	,	,	,
20165	1337	12	draw	draw	VB
20165	1337	13	semicircle	semicircle	NNP
20165	1337	14	_	_	NNP
20165	1337	15	AKB	AKB	NNP
20165	1337	16	_	_	NNP
20165	1337	17	,	,	,
20165	1337	18	and	and	CC
20165	1337	19	divide	divide	VB
20165	1337	20	it	-PRON-	PRP
20165	1337	21	into	into	IN
20165	1337	22	eight	eight	CD
20165	1337	23	equal	equal	JJ
20165	1337	24	parts	part	NNS
20165	1337	25	.	.	.
20165	1338	1	From	from	IN
20165	1338	2	each	each	DT
20165	1338	3	division	division	NN
20165	1338	4	raise	raise	VB
20165	1338	5	perpendiculars	perpendicular	NNS
20165	1338	6	to	to	IN
20165	1338	7	the	the	DT
20165	1338	8	base	base	NN
20165	1338	9	,	,	,
20165	1338	10	such	such	JJ
20165	1338	11	as	as	IN
20165	1338	12	_	_	NNP
20165	1338	13	2	2	CD
20165	1338	14	O	O	NNP
20165	1338	15	_	_	NNP
20165	1338	16	,	,	,
20165	1338	17	_	_	NNP
20165	1338	18	3	3	CD
20165	1338	19	O	o	UH
20165	1338	20	_	_	NNP
20165	1338	21	,	,	,
20165	1338	22	_	_	NNP
20165	1338	23	5	5	CD
20165	1338	24	O	o	NN
20165	1338	25	_	_	NNP
20165	1338	26	,	,	,
20165	1338	27	&	&	CC
20165	1338	28	c.	c.	NNP
20165	1338	29	,	,	,
20165	1338	30	and	and	CC
20165	1338	31	from	from	IN
20165	1338	32	divisions	division	NNS
20165	1338	33	_	_	NNP
20165	1338	34	O	O	NNP
20165	1338	35	_	_	NNP
20165	1338	36	,	,	,
20165	1338	37	_	_	NNP
20165	1338	38	O	O	NNP
20165	1338	39	_	_	NNP
20165	1338	40	,	,	,
20165	1338	41	_	_	NNP
20165	1338	42	O	O	NNP
20165	1338	43	_	_	NNP
20165	1338	44	draw	draw	VBP
20165	1338	45	lines	line	NNS
20165	1338	46	to	to	IN
20165	1338	47	point	point	NN
20165	1338	48	of	of	IN
20165	1338	49	sight	sight	NN
20165	1338	50	,	,	,
20165	1338	51	and	and	CC
20165	1338	52	where	where	WRB
20165	1338	53	these	these	DT
20165	1338	54	lines	line	NNS
20165	1338	55	cut	cut	VBD
20165	1338	56	the	the	DT
20165	1338	57	diagonals	diagonal	NNS
20165	1338	58	_	_	NNP
20165	1338	59	AC	AC	NNP
20165	1338	60	_	_	NNP
20165	1338	61	,	,	,
20165	1338	62	_	_	NNP
20165	1338	63	DB	DB	NNP
20165	1338	64	_	_	NNP
20165	1338	65	,	,	,
20165	1338	66	draw	draw	VB
20165	1338	67	horizontals	horizontal	NNS
20165	1338	68	parallel	parallel	JJ
20165	1338	69	to	to	TO
20165	1338	70	base	base	VB
20165	1338	71	_	_	NNP
20165	1338	72	AB	AB	NNP
20165	1338	73	_	_	NNP
20165	1338	74	.	.	.
20165	1339	1	Then	then	RB
20165	1339	2	through	through	IN
20165	1339	3	the	the	DT
20165	1339	4	points	point	NNS
20165	1339	5	thus	thus	RB
20165	1339	6	obtained	obtain	VBD
20165	1339	7	draw	draw	VB
20165	1339	8	the	the	DT
20165	1339	9	circle	circle	NN
20165	1339	10	as	as	IN
20165	1339	11	shown	show	VBN
20165	1339	12	in	in	IN
20165	1339	13	this	this	DT
20165	1339	14	figure	figure	NN
20165	1339	15	,	,	,
20165	1339	16	which	which	WDT
20165	1339	17	also	also	RB
20165	1339	18	shows	show	VBZ
20165	1339	19	us	-PRON-	PRP
20165	1339	20	how	how	WRB
20165	1339	21	the	the	DT
20165	1339	22	circumference	circumference	NN
20165	1339	23	of	of	IN
20165	1339	24	a	a	DT
20165	1339	25	circle	circle	NN
20165	1339	26	in	in	IN
20165	1339	27	perspective	perspective	NN
20165	1339	28	may	may	MD
20165	1339	29	be	be	VB
20165	1339	30	divided	divide	VBN
20165	1339	31	into	into	IN
20165	1339	32	any	any	DT
20165	1339	33	number	number	NN
20165	1339	34	of	of	IN
20165	1339	35	equal	equal	JJ
20165	1339	36	parts	part	NNS
20165	1339	37	.	.	.
20165	1340	1	[	[	-LRB-
20165	1340	2	Illustration	illustration	NN
20165	1340	3	:	:	:
20165	1340	4	Fig	Fig	NNP
20165	1340	5	.	.	.
20165	1341	1	175	175	CD
20165	1341	2	.	.	.
20165	1341	3	]	]	-RRB-
20165	1342	1	XCIV	xciv	NN
20165	1342	2	HOW	how	WRB
20165	1342	3	TO	to	IN
20165	1342	4	DIVIDE	DIVIDE	NNP
20165	1342	5	A	a	DT
20165	1342	6	PERSPECTIVE	perspective	JJ
20165	1342	7	CIRCLE	CIRCLE	VBN
20165	1342	8	INTO	into	VB
20165	1342	9	ANY	any	DT
20165	1342	10	NUMBER	number	NN
20165	1342	11	OF	of	IN
20165	1342	12	EQUAL	equal	NN
20165	1342	13	PARTS	PARTS	NNP
20165	1342	14	This	this	DT
20165	1342	15	is	be	VBZ
20165	1342	16	simply	simply	RB
20165	1342	17	a	a	DT
20165	1342	18	repetition	repetition	NN
20165	1342	19	of	of	IN
20165	1342	20	the	the	DT
20165	1342	21	previous	previous	JJ
20165	1342	22	figure	figure	NN
20165	1342	23	as	as	RB
20165	1342	24	far	far	RB
20165	1342	25	as	as	IN
20165	1342	26	its	-PRON-	PRP$
20165	1342	27	construction	construction	NN
20165	1342	28	is	be	VBZ
20165	1342	29	concerned	concern	VBN
20165	1342	30	,	,	,
20165	1342	31	only	only	RB
20165	1342	32	in	in	IN
20165	1342	33	this	this	DT
20165	1342	34	case	case	NN
20165	1342	35	we	-PRON-	PRP
20165	1342	36	have	have	VBP
20165	1342	37	divided	divide	VBN
20165	1342	38	the	the	DT
20165	1342	39	semicircle	semicircle	NN
20165	1342	40	into	into	IN
20165	1342	41	twelve	twelve	CD
20165	1342	42	parts	part	NNS
20165	1342	43	and	and	CC
20165	1342	44	the	the	DT
20165	1342	45	perspective	perspective	NN
20165	1342	46	into	into	IN
20165	1342	47	twenty	twenty	CD
20165	1342	48	-	-	HYPH
20165	1342	49	four	four	CD
20165	1342	50	.	.	.
20165	1343	1	[	[	-LRB-
20165	1343	2	Illustration	illustration	NN
20165	1343	3	:	:	:
20165	1343	4	Fig	Fig	NNP
20165	1343	5	.	.	.
20165	1344	1	176	176	CD
20165	1344	2	.	.	.
20165	1344	3	]	]	-RRB-
20165	1345	1	[	[	-LRB-
20165	1345	2	Illustration	illustration	NN
20165	1345	3	:	:	:
20165	1345	4	Fig	Fig	NNP
20165	1345	5	.	.	.
20165	1346	1	177	177	CD
20165	1346	2	.	.	.
20165	1346	3	]	]	-RRB-
20165	1347	1	We	-PRON-	PRP
20165	1347	2	have	have	VBP
20165	1347	3	raised	raise	VBN
20165	1347	4	perpendiculars	perpendicular	NNS
20165	1347	5	from	from	IN
20165	1347	6	the	the	DT
20165	1347	7	divisions	division	NNS
20165	1347	8	on	on	IN
20165	1347	9	the	the	DT
20165	1347	10	semicircle	semicircle	NN
20165	1347	11	,	,	,
20165	1347	12	and	and	CC
20165	1347	13	proceeded	proceed	VBD
20165	1347	14	as	as	IN
20165	1347	15	before	before	RB
20165	1347	16	to	to	TO
20165	1347	17	draw	draw	VB
20165	1347	18	lines	line	NNS
20165	1347	19	to	to	IN
20165	1347	20	the	the	DT
20165	1347	21	point	point	NN
20165	1347	22	of	of	IN
20165	1347	23	sight	sight	NN
20165	1347	24	,	,	,
20165	1347	25	and	and	CC
20165	1347	26	have	have	VBP
20165	1347	27	thus	thus	RB
20165	1347	28	by	by	IN
20165	1347	29	their	-PRON-	PRP$
20165	1347	30	intersections	intersection	NNS
20165	1347	31	with	with	IN
20165	1347	32	the	the	DT
20165	1347	33	circumference	circumference	NN
20165	1347	34	already	already	RB
20165	1347	35	drawn	draw	VBN
20165	1347	36	in	in	IN
20165	1347	37	perspective	perspective	NN
20165	1347	38	divided	divide	VBD
20165	1347	39	it	-PRON-	PRP
20165	1347	40	into	into	IN
20165	1347	41	the	the	DT
20165	1347	42	required	require	VBN
20165	1347	43	number	number	NN
20165	1347	44	of	of	IN
20165	1347	45	equal	equal	JJ
20165	1347	46	parts	part	NNS
20165	1347	47	,	,	,
20165	1347	48	to	to	TO
20165	1347	49	which	which	WDT
20165	1347	50	from	from	IN
20165	1347	51	the	the	DT
20165	1347	52	centre	centre	NN
20165	1347	53	we	-PRON-	PRP
20165	1347	54	have	have	VBP
20165	1347	55	drawn	draw	VBN
20165	1347	56	the	the	DT
20165	1347	57	radii	radii	NN
20165	1347	58	.	.	.
20165	1348	1	This	this	DT
20165	1348	2	will	will	MD
20165	1348	3	show	show	VB
20165	1348	4	us	-PRON-	PRP
20165	1348	5	how	how	WRB
20165	1348	6	to	to	TO
20165	1348	7	draw	draw	VB
20165	1348	8	traceries	tracery	NNS
20165	1348	9	in	in	IN
20165	1348	10	Gothic	gothic	JJ
20165	1348	11	windows	window	NNS
20165	1348	12	,	,	,
20165	1348	13	columns	column	NNS
20165	1348	14	in	in	IN
20165	1348	15	a	a	DT
20165	1348	16	circle	circle	NN
20165	1348	17	,	,	,
20165	1348	18	cart	cart	NN
20165	1348	19	-	-	HYPH
20165	1348	20	wheels	wheel	NNS
20165	1348	21	,	,	,
20165	1348	22	&	&	CC
20165	1348	23	c.	c.	NNP
20165	1348	24	The	the	DT
20165	1348	25	geometrical	geometrical	JJ
20165	1348	26	figure	figure	NN
20165	1348	27	(	(	-LRB-
20165	1348	28	177	177	CD
20165	1348	29	)	)	-RRB-
20165	1348	30	will	will	MD
20165	1348	31	explain	explain	VB
20165	1348	32	the	the	DT
20165	1348	33	construction	construction	NN
20165	1348	34	of	of	IN
20165	1348	35	the	the	DT
20165	1348	36	perspective	perspective	NN
20165	1348	37	one	one	NN
20165	1348	38	by	by	IN
20165	1348	39	showing	show	VBG
20165	1348	40	how	how	WRB
20165	1348	41	the	the	DT
20165	1348	42	divisions	division	NNS
20165	1348	43	are	be	VBP
20165	1348	44	obtained	obtain	VBN
20165	1348	45	on	on	IN
20165	1348	46	the	the	DT
20165	1348	47	line	line	NN
20165	1348	48	_	_	NNP
20165	1348	49	AB	AB	NNP
20165	1348	50	_	_	NNP
20165	1348	51	,	,	,
20165	1348	52	which	which	WDT
20165	1348	53	represents	represent	VBZ
20165	1348	54	base	base	NN
20165	1348	55	of	of	IN
20165	1348	56	square	square	NN
20165	1348	57	,	,	,
20165	1348	58	from	from	IN
20165	1348	59	the	the	DT
20165	1348	60	divisions	division	NNS
20165	1348	61	on	on	IN
20165	1348	62	the	the	DT
20165	1348	63	semicircle	semicircle	NN
20165	1348	64	_	_	NNP
20165	1348	65	AKB	AKB	NNP
20165	1348	66	_	_	NNP
20165	1348	67	.	.	.
20165	1349	1	XCV	XCV	NNP
20165	1349	2	HOW	how	WRB
20165	1349	3	TO	to	TO
20165	1349	4	DRAW	draw	VB
20165	1349	5	CONCENTRIC	concentric	NN
20165	1349	6	CIRCLES	circles	NN
20165	1349	7	[	[	-LRB-
20165	1349	8	Illustration	illustration	NN
20165	1349	9	:	:	:
20165	1349	10	Fig	Fig	NNP
20165	1349	11	.	.	.
20165	1350	1	178	178	CD
20165	1350	2	.	.	.
20165	1350	3	]	]	-RRB-
20165	1351	1	First	first	RB
20165	1351	2	draw	draw	VB
20165	1351	3	a	a	DT
20165	1351	4	square	square	NN
20165	1351	5	with	with	IN
20165	1351	6	its	-PRON-	PRP$
20165	1351	7	diagonals	diagonal	NNS
20165	1351	8	(	(	-LRB-
20165	1351	9	Fig	fig	NN
20165	1351	10	.	.	.
20165	1352	1	178	178	LS
20165	1352	2	)	)	-RRB-
20165	1352	3	,	,	,
20165	1352	4	and	and	CC
20165	1352	5	from	from	IN
20165	1352	6	its	-PRON-	PRP$
20165	1352	7	centre	centre	NN
20165	1352	8	_	_	NNP
20165	1352	9	O	O	NNP
20165	1352	10	_	_	NNP
20165	1352	11	inscribe	inscribe	NN
20165	1352	12	a	a	DT
20165	1352	13	circle	circle	NN
20165	1352	14	;	;	:
20165	1352	15	in	in	IN
20165	1352	16	this	this	DT
20165	1352	17	circle	circle	NN
20165	1352	18	inscribe	inscribe	VBP
20165	1352	19	a	a	DT
20165	1352	20	square	square	NN
20165	1352	21	,	,	,
20165	1352	22	and	and	CC
20165	1352	23	in	in	IN
20165	1352	24	this	this	DT
20165	1352	25	again	again	RB
20165	1352	26	inscribe	inscribe	VBP
20165	1352	27	a	a	DT
20165	1352	28	second	second	JJ
20165	1352	29	circle	circle	NN
20165	1352	30	,	,	,
20165	1352	31	and	and	CC
20165	1352	32	so	so	RB
20165	1352	33	on	on	RB
20165	1352	34	.	.	.
20165	1353	1	Through	through	IN
20165	1353	2	their	-PRON-	PRP$
20165	1353	3	intersections	intersection	NNS
20165	1353	4	with	with	IN
20165	1353	5	the	the	DT
20165	1353	6	diagonals	diagonal	NNS
20165	1353	7	draw	draw	VBP
20165	1353	8	lines	line	NNS
20165	1353	9	to	to	TO
20165	1353	10	base	base	VB
20165	1353	11	,	,	,
20165	1353	12	and	and	CC
20165	1353	13	number	number	VB
20165	1353	14	them	-PRON-	PRP
20165	1353	15	1	1	CD
20165	1353	16	,	,	,
20165	1353	17	2	2	CD
20165	1353	18	,	,	,
20165	1353	19	3	3	CD
20165	1353	20	,	,	,
20165	1353	21	4	4	CD
20165	1353	22	,	,	,
20165	1353	23	&	&	CC
20165	1353	24	c.	c.	NNP
20165	1353	25	;	;	:
20165	1353	26	transfer	transfer	VB
20165	1353	27	these	these	DT
20165	1353	28	measurements	measurement	NNS
20165	1353	29	to	to	IN
20165	1353	30	the	the	DT
20165	1353	31	base	base	NN
20165	1353	32	of	of	IN
20165	1353	33	the	the	DT
20165	1353	34	perspective	perspective	NN
20165	1353	35	square	square	NN
20165	1353	36	(	(	-LRB-
20165	1353	37	Fig	fig	NN
20165	1353	38	.	.	.
20165	1354	1	179	179	LS
20165	1354	2	)	)	-RRB-
20165	1354	3	,	,	,
20165	1354	4	and	and	CC
20165	1354	5	proceed	proceed	VB
20165	1354	6	to	to	TO
20165	1354	7	construct	construct	VB
20165	1354	8	the	the	DT
20165	1354	9	circles	circle	NNS
20165	1354	10	as	as	IN
20165	1354	11	before	before	RB
20165	1354	12	,	,	,
20165	1354	13	drawing	draw	VBG
20165	1354	14	lines	line	NNS
20165	1354	15	from	from	IN
20165	1354	16	each	each	DT
20165	1354	17	point	point	NN
20165	1354	18	on	on	IN
20165	1354	19	the	the	DT
20165	1354	20	base	base	NN
20165	1354	21	to	to	IN
20165	1354	22	the	the	DT
20165	1354	23	point	point	NN
20165	1354	24	of	of	IN
20165	1354	25	sight	sight	NN
20165	1354	26	,	,	,
20165	1354	27	and	and	CC
20165	1354	28	drawing	draw	VBG
20165	1354	29	the	the	DT
20165	1354	30	curves	curve	NNS
20165	1354	31	through	through	IN
20165	1354	32	the	the	DT
20165	1354	33	inter	inter	NN
20165	1354	34	-	-	NNS
20165	1354	35	sections	section	NNS
20165	1354	36	of	of	IN
20165	1354	37	these	these	DT
20165	1354	38	lines	line	NNS
20165	1354	39	with	with	IN
20165	1354	40	the	the	DT
20165	1354	41	diagonals	diagonal	NNS
20165	1354	42	.	.	.
20165	1355	1	[	[	-LRB-
20165	1355	2	Illustration	illustration	NN
20165	1355	3	:	:	:
20165	1355	4	Fig	Fig	NNP
20165	1355	5	.	.	.
20165	1356	1	179	179	CD
20165	1356	2	.	.	.
20165	1356	3	]	]	-RRB-
20165	1357	1	Should	Should	MD
20165	1357	2	it	-PRON-	PRP
20165	1357	3	be	be	VB
20165	1357	4	required	require	VBN
20165	1357	5	to	to	TO
20165	1357	6	make	make	VB
20165	1357	7	the	the	DT
20165	1357	8	circles	circle	NNS
20165	1357	9	at	at	IN
20165	1357	10	equal	equal	JJ
20165	1357	11	distances	distance	NNS
20165	1357	12	,	,	,
20165	1357	13	as	as	IN
20165	1357	14	for	for	IN
20165	1357	15	steps	step	NNS
20165	1357	16	for	for	IN
20165	1357	17	instance	instance	NN
20165	1357	18	,	,	,
20165	1357	19	then	then	RB
20165	1357	20	the	the	DT
20165	1357	21	geometrical	geometrical	JJ
20165	1357	22	plan	plan	NN
20165	1357	23	should	should	MD
20165	1357	24	be	be	VB
20165	1357	25	made	make	VBN
20165	1357	26	accordingly	accordingly	RB
20165	1357	27	.	.	.
20165	1358	1	Or	or	CC
20165	1358	2	we	-PRON-	PRP
20165	1358	3	may	may	MD
20165	1358	4	adopt	adopt	VB
20165	1358	5	the	the	DT
20165	1358	6	method	method	NN
20165	1358	7	shown	show	VBN
20165	1358	8	at	at	IN
20165	1358	9	Fig	Fig	NNP
20165	1358	10	.	.	.
20165	1359	1	180	180	CD
20165	1359	2	,	,	,
20165	1359	3	by	by	IN
20165	1359	4	taking	take	VBG
20165	1359	5	quarter	quarter	NN
20165	1359	6	base	base	NN
20165	1359	7	of	of	IN
20165	1359	8	both	both	CC
20165	1359	9	outer	outer	JJ
20165	1359	10	and	and	CC
20165	1359	11	inner	inner	JJ
20165	1359	12	square	square	NN
20165	1359	13	,	,	,
20165	1359	14	and	and	CC
20165	1359	15	finding	find	VBG
20165	1359	16	the	the	DT
20165	1359	17	measurement	measurement	NN
20165	1359	18	_	_	NNP
20165	1359	19	mn	mn	NNP
20165	1359	20	_	_	NNP
20165	1359	21	on	on	IN
20165	1359	22	each	each	DT
20165	1359	23	side	side	NN
20165	1359	24	of	of	IN
20165	1359	25	_	_	NNP
20165	1359	26	C	C	NNP
20165	1359	27	_	_	NNP
20165	1359	28	,	,	,
20165	1359	29	&	&	CC
20165	1359	30	c.	c.	NNP
20165	1359	31	[	[	-LRB-
20165	1359	32	Illustration	illustration	NN
20165	1359	33	:	:	:
20165	1359	34	Fig	Fig	NNP
20165	1359	35	.	.	.
20165	1360	1	180	180	CD
20165	1360	2	.	.	.
20165	1360	3	]	]	-RRB-
20165	1361	1	XCVI	xcvi	IN
20165	1361	2	THE	the	DT
20165	1361	3	ANGLE	ANGLE	NNS
20165	1361	4	OF	of	IN
20165	1361	5	THE	the	DT
20165	1361	6	DIAMETER	DIAMETER	NNP
20165	1361	7	OF	of	IN
20165	1361	8	THE	the	DT
20165	1361	9	CIRCLE	CIRCLE	NNP
20165	1361	10	IN	in	IN
20165	1361	11	ANGULAR	ANGULAR	NNP
20165	1361	12	AND	and	CC
20165	1361	13	PARALLEL	parallel	NN
20165	1361	14	PERSPECTIVE	perspective	NN
20165	1361	15	The	the	DT
20165	1361	16	circle	circle	NN
20165	1361	17	,	,	,
20165	1361	18	whether	whether	IN
20165	1361	19	in	in	IN
20165	1361	20	angular	angular	JJ
20165	1361	21	or	or	CC
20165	1361	22	parallel	parallel	JJ
20165	1361	23	perspective	perspective	NN
20165	1361	24	,	,	,
20165	1361	25	is	be	VBZ
20165	1361	26	always	always	RB
20165	1361	27	an	an	DT
20165	1361	28	ellipse	ellipse	NN
20165	1361	29	.	.	.
20165	1362	1	In	in	IN
20165	1362	2	angular	angular	JJ
20165	1362	3	perspective	perspective	NN
20165	1362	4	the	the	DT
20165	1362	5	angle	angle	NN
20165	1362	6	of	of	IN
20165	1362	7	the	the	DT
20165	1362	8	circle	circle	NN
20165	1362	9	's	's	POS
20165	1362	10	diameter	diameter	NN
20165	1362	11	varies	vary	VBZ
20165	1362	12	in	in	IN
20165	1362	13	accordance	accordance	NN
20165	1362	14	with	with	IN
20165	1362	15	the	the	DT
20165	1362	16	angle	angle	NN
20165	1362	17	of	of	IN
20165	1362	18	the	the	DT
20165	1362	19	square	square	NN
20165	1362	20	in	in	IN
20165	1362	21	which	which	WDT
20165	1362	22	it	-PRON-	PRP
20165	1362	23	is	be	VBZ
20165	1362	24	placed	place	VBN
20165	1362	25	,	,	,
20165	1362	26	as	as	IN
20165	1362	27	in	in	IN
20165	1362	28	Fig	Fig	NNP
20165	1362	29	.	.	.
20165	1363	1	181	181	CD
20165	1363	2	,	,	,
20165	1363	3	_	_	NNP
20165	1363	4	cc	cc	NNP
20165	1363	5	_	_	NNP
20165	1363	6	is	be	VBZ
20165	1363	7	the	the	DT
20165	1363	8	diameter	diameter	NN
20165	1363	9	of	of	IN
20165	1363	10	the	the	DT
20165	1363	11	circle	circle	NN
20165	1363	12	and	and	CC
20165	1363	13	_	_	NNP
20165	1363	14	ee	ee	NNP
20165	1363	15	_	_	NNP
20165	1363	16	the	the	DT
20165	1363	17	diameter	diameter	NN
20165	1363	18	of	of	IN
20165	1363	19	the	the	DT
20165	1363	20	ellipse	ellipse	NN
20165	1363	21	.	.	.
20165	1364	1	In	in	IN
20165	1364	2	parallel	parallel	JJ
20165	1364	3	perspective	perspective	NN
20165	1364	4	the	the	DT
20165	1364	5	diameter	diameter	NN
20165	1364	6	of	of	IN
20165	1364	7	the	the	DT
20165	1364	8	circle	circle	NN
20165	1364	9	always	always	RB
20165	1364	10	remains	remain	VBZ
20165	1364	11	horizontal	horizontal	JJ
20165	1364	12	,	,	,
20165	1364	13	although	although	IN
20165	1364	14	the	the	DT
20165	1364	15	long	long	JJ
20165	1364	16	diameter	diameter	NN
20165	1364	17	of	of	IN
20165	1364	18	the	the	DT
20165	1364	19	ellipse	ellipse	NN
20165	1364	20	varies	vary	VBZ
20165	1364	21	in	in	IN
20165	1364	22	inclination	inclination	NN
20165	1364	23	according	accord	VBG
20165	1364	24	to	to	IN
20165	1364	25	the	the	DT
20165	1364	26	distance	distance	NN
20165	1364	27	it	-PRON-	PRP
20165	1364	28	is	be	VBZ
20165	1364	29	from	from	IN
20165	1364	30	the	the	DT
20165	1364	31	point	point	NN
20165	1364	32	of	of	IN
20165	1364	33	sight	sight	NN
20165	1364	34	,	,	,
20165	1364	35	as	as	IN
20165	1364	36	shown	show	VBN
20165	1364	37	in	in	IN
20165	1364	38	Fig	Fig	NNP
20165	1364	39	.	.	.
20165	1365	1	182	182	CD
20165	1365	2	,	,	,
20165	1365	3	in	in	IN
20165	1365	4	which	which	WDT
20165	1365	5	the	the	DT
20165	1365	6	third	third	JJ
20165	1365	7	circle	circle	NN
20165	1365	8	is	be	VBZ
20165	1365	9	much	much	RB
20165	1365	10	elongated	elongate	VBN
20165	1365	11	and	and	CC
20165	1365	12	distorted	distorted	JJ
20165	1365	13	,	,	,
20165	1365	14	owing	owe	VBG
20165	1365	15	to	to	IN
20165	1365	16	its	-PRON-	PRP$
20165	1365	17	being	being	NN
20165	1365	18	outside	outside	IN
20165	1365	19	the	the	DT
20165	1365	20	angle	angle	NN
20165	1365	21	of	of	IN
20165	1365	22	vision	vision	NN
20165	1365	23	.	.	.
20165	1366	1	[	[	-LRB-
20165	1366	2	Illustration	illustration	NN
20165	1366	3	:	:	:
20165	1366	4	Fig	Fig	NNP
20165	1366	5	.	.	.
20165	1367	1	181	181	CD
20165	1367	2	.	.	.
20165	1367	3	]	]	-RRB-
20165	1368	1	[	[	-LRB-
20165	1368	2	Illustration	illustration	NN
20165	1368	3	:	:	:
20165	1368	4	Fig	Fig	NNP
20165	1368	5	.	.	.
20165	1369	1	182	182	CD
20165	1369	2	.	.	.
20165	1369	3	]	]	-RRB-
20165	1370	1	XCVII	XCVII	NNP
20165	1370	2	HOW	how	WRB
20165	1370	3	TO	to	TO
20165	1370	4	CORRECT	CORRECT	NNS
20165	1370	5	DISPROPORTION	disproportion	VB
20165	1370	6	IN	in	IN
20165	1370	7	THE	the	DT
20165	1370	8	WIDTH	width	NN
20165	1370	9	OF	of	IN
20165	1370	10	COLUMNS	COLUMNS	NNP
20165	1370	11	[	[	-LRB-
20165	1370	12	Transcriber	Transcriber	NNP
20165	1370	13	's	's	POS
20165	1370	14	Note	note	NN
20165	1370	15	:	:	:
20165	1370	16	The	the	DT
20165	1370	17	column	column	NN
20165	1370	18	referred	refer	VBD
20165	1370	19	to	to	IN
20165	1370	20	as	as	IN
20165	1370	21	"	"	``
20165	1370	22	1	1	CD
20165	1370	23	"	"	''
20165	1370	24	in	in	IN
20165	1370	25	the	the	DT
20165	1370	26	text	text	NN
20165	1370	27	is	be	VBZ
20165	1370	28	marked	mark	VBN
20165	1370	29	"	"	``
20165	1370	30	S	S	NNP
20165	1370	31	"	"	''
20165	1370	32	in	in	IN
20165	1370	33	both	both	DT
20165	1370	34	Figures	figure	NNS
20165	1370	35	.	.	.
20165	1370	36	]	]	-RRB-
20165	1371	1	The	the	DT
20165	1371	2	disproportion	disproportion	NN
20165	1371	3	in	in	IN
20165	1371	4	the	the	DT
20165	1371	5	width	width	NN
20165	1371	6	of	of	IN
20165	1371	7	columns	column	NNS
20165	1371	8	in	in	IN
20165	1371	9	Fig	Fig	NNP
20165	1371	10	.	.	.
20165	1372	1	183	183	CD
20165	1372	2	arises	arise	VBZ
20165	1372	3	from	from	IN
20165	1372	4	the	the	DT
20165	1372	5	point	point	NN
20165	1372	6	of	of	IN
20165	1372	7	distance	distance	NN
20165	1372	8	being	be	VBG
20165	1372	9	too	too	RB
20165	1372	10	near	near	IN
20165	1372	11	the	the	DT
20165	1372	12	point	point	NN
20165	1372	13	of	of	IN
20165	1372	14	sight	sight	NN
20165	1372	15	,	,	,
20165	1372	16	or	or	CC
20165	1372	17	,	,	,
20165	1372	18	in	in	IN
20165	1372	19	other	other	JJ
20165	1372	20	words	word	NNS
20165	1372	21	,	,	,
20165	1372	22	taking	take	VBG
20165	1372	23	too	too	RB
20165	1372	24	wide	wide	JJ
20165	1372	25	an	an	DT
20165	1372	26	angle	angle	NN
20165	1372	27	of	of	IN
20165	1372	28	vision	vision	NN
20165	1372	29	.	.	.
20165	1373	1	It	-PRON-	PRP
20165	1373	2	will	will	MD
20165	1373	3	be	be	VB
20165	1373	4	seen	see	VBN
20165	1373	5	that	that	IN
20165	1373	6	column	column	NN
20165	1373	7	3	3	CD
20165	1373	8	is	be	VBZ
20165	1373	9	much	much	RB
20165	1373	10	wider	wide	JJR
20165	1373	11	than	than	IN
20165	1373	12	column	column	NN
20165	1373	13	1	1	CD
20165	1373	14	.	.	.
20165	1374	1	[	[	-LRB-
20165	1374	2	Illustration	illustration	NN
20165	1374	3	:	:	:
20165	1374	4	Fig	Fig	NNP
20165	1374	5	.	.	.
20165	1375	1	183	183	CD
20165	1375	2	.	.	.
20165	1375	3	]	]	-RRB-
20165	1376	1	[	[	-LRB-
20165	1376	2	Illustration	illustration	NN
20165	1376	3	:	:	:
20165	1376	4	Fig	Fig	NNP
20165	1376	5	.	.	.
20165	1377	1	184	184	CD
20165	1377	2	.	.	.
20165	1377	3	]	]	-RRB-
20165	1378	1	In	in	IN
20165	1378	2	our	-PRON-	PRP$
20165	1378	3	second	second	JJ
20165	1378	4	figure	figure	NN
20165	1378	5	(	(	-LRB-
20165	1378	6	184	184	CD
20165	1378	7	)	)	-RRB-
20165	1378	8	is	be	VBZ
20165	1378	9	shown	show	VBN
20165	1378	10	how	how	WRB
20165	1378	11	this	this	DT
20165	1378	12	defect	defect	NN
20165	1378	13	is	be	VBZ
20165	1378	14	remedied	remedie	VBN
20165	1378	15	,	,	,
20165	1378	16	by	by	IN
20165	1378	17	doubling	double	VBG
20165	1378	18	the	the	DT
20165	1378	19	distance	distance	NN
20165	1378	20	,	,	,
20165	1378	21	or	or	CC
20165	1378	22	by	by	IN
20165	1378	23	counting	count	VBG
20165	1378	24	the	the	DT
20165	1378	25	same	same	JJ
20165	1378	26	distance	distance	NN
20165	1378	27	as	as	IN
20165	1378	28	half	half	NN
20165	1378	29	,	,	,
20165	1378	30	which	which	WDT
20165	1378	31	is	be	VBZ
20165	1378	32	easily	easily	RB
20165	1378	33	effected	effect	VBN
20165	1378	34	by	by	IN
20165	1378	35	drawing	draw	VBG
20165	1378	36	the	the	DT
20165	1378	37	diagonal	diagonal	JJ
20165	1378	38	from	from	IN
20165	1378	39	_	_	NNP
20165	1378	40	O	O	NNP
20165	1378	41	_	_	NNP
20165	1378	42	to	to	IN
20165	1378	43	½D	½D	NNP
20165	1378	44	,	,	,
20165	1378	45	instead	instead	RB
20165	1378	46	of	of	IN
20165	1378	47	from	from	IN
20165	1378	48	_	_	NNP
20165	1378	49	A	A	NNP
20165	1378	50	_	_	NNP
20165	1378	51	,	,	,
20165	1378	52	as	as	IN
20165	1378	53	in	in	IN
20165	1378	54	the	the	DT
20165	1378	55	other	other	JJ
20165	1378	56	figure	figure	NN
20165	1378	57	,	,	,
20165	1378	58	_	_	NNP
20165	1378	59	O	O	NNP
20165	1378	60	_	_	NNP
20165	1378	61	being	be	VBG
20165	1378	62	at	at	IN
20165	1378	63	half	half	JJ
20165	1378	64	base	base	NN
20165	1378	65	.	.	.
20165	1379	1	Here	here	RB
20165	1379	2	the	the	DT
20165	1379	3	squares	square	NNS
20165	1379	4	lie	lie	VBP
20165	1379	5	much	much	RB
20165	1379	6	more	more	JJR
20165	1379	7	level	level	NN
20165	1379	8	,	,	,
20165	1379	9	and	and	CC
20165	1379	10	the	the	DT
20165	1379	11	columns	column	NNS
20165	1379	12	are	be	VBP
20165	1379	13	nearly	nearly	RB
20165	1379	14	the	the	DT
20165	1379	15	same	same	JJ
20165	1379	16	width	width	NN
20165	1379	17	,	,	,
20165	1379	18	showing	show	VBG
20165	1379	19	the	the	DT
20165	1379	20	advantage	advantage	NN
20165	1379	21	of	of	IN
20165	1379	22	a	a	DT
20165	1379	23	long	long	JJ
20165	1379	24	distance	distance	NN
20165	1379	25	.	.	.
20165	1380	1	XCVIII	XCVIII	NNP
20165	1380	2	HOW	how	WRB
20165	1380	3	TO	to	TO
20165	1380	4	DRAW	draw	VB
20165	1380	5	A	a	DT
20165	1380	6	CIRCLE	circle	NN
20165	1380	7	OVER	over	IN
20165	1380	8	A	a	DT
20165	1380	9	CIRCLE	circle	NN
20165	1380	10	OR	or	CC
20165	1380	11	A	a	DT
20165	1380	12	CYLINDER	CYLINDER	NNP
20165	1380	13	First	first	RB
20165	1380	14	construct	construct	VB
20165	1380	15	square	square	NN
20165	1380	16	and	and	CC
20165	1380	17	circle	circle	NN
20165	1380	18	_	_	NNP
20165	1380	19	ABE	ABE	NNP
20165	1380	20	_	_	NNP
20165	1380	21	,	,	,
20165	1380	22	then	then	RB
20165	1380	23	draw	draw	VB
20165	1380	24	square	square	NN
20165	1380	25	_	_	NNP
20165	1380	26	CDF	CDF	NNP
20165	1380	27	_	_	NNP
20165	1380	28	with	with	IN
20165	1380	29	its	-PRON-	PRP$
20165	1380	30	diagonals	diagonal	NNS
20165	1380	31	.	.	.
20165	1381	1	Then	then	RB
20165	1381	2	find	find	VB
20165	1381	3	the	the	DT
20165	1381	4	various	various	JJ
20165	1381	5	points	point	NNS
20165	1381	6	_	_	NNP
20165	1381	7	O	O	NNP
20165	1381	8	_	_	NNP
20165	1381	9	,	,	,
20165	1381	10	and	and	CC
20165	1381	11	from	from	IN
20165	1381	12	these	these	DT
20165	1381	13	raise	raise	NN
20165	1381	14	perpendiculars	perpendicular	NNS
20165	1381	15	to	to	TO
20165	1381	16	meet	meet	VB
20165	1381	17	the	the	DT
20165	1381	18	diagonals	diagonal	NNS
20165	1381	19	of	of	IN
20165	1381	20	the	the	DT
20165	1381	21	upper	upper	JJ
20165	1381	22	square	square	NN
20165	1381	23	at	at	IN
20165	1381	24	points	point	NNS
20165	1381	25	_	_	NNP
20165	1381	26	P	P	NNP
20165	1381	27	_	_	NNP
20165	1381	28	,	,	,
20165	1381	29	which	which	WDT
20165	1381	30	,	,	,
20165	1381	31	with	with	IN
20165	1381	32	the	the	DT
20165	1381	33	other	other	JJ
20165	1381	34	points	point	NNS
20165	1381	35	will	will	MD
20165	1381	36	be	be	VB
20165	1381	37	sufficient	sufficient	JJ
20165	1381	38	guides	guide	NNS
20165	1381	39	to	to	TO
20165	1381	40	draw	draw	VB
20165	1381	41	the	the	DT
20165	1381	42	circle	circle	NN
20165	1381	43	required	require	VBN
20165	1381	44	.	.	.
20165	1382	1	This	this	DT
20165	1382	2	can	can	MD
20165	1382	3	be	be	VB
20165	1382	4	applied	apply	VBN
20165	1382	5	to	to	IN
20165	1382	6	towers	tower	NNS
20165	1382	7	,	,	,
20165	1382	8	columns	column	NNS
20165	1382	9	,	,	,
20165	1382	10	&	&	CC
20165	1382	11	c.	c.	NNP
20165	1382	12	The	the	DT
20165	1382	13	size	size	NN
20165	1382	14	of	of	IN
20165	1382	15	the	the	DT
20165	1382	16	circles	circle	NNS
20165	1382	17	can	can	MD
20165	1382	18	be	be	VB
20165	1382	19	varied	vary	VBN
20165	1382	20	so	so	IN
20165	1382	21	that	that	IN
20165	1382	22	the	the	DT
20165	1382	23	upper	upper	JJ
20165	1382	24	portion	portion	NN
20165	1382	25	of	of	IN
20165	1382	26	a	a	DT
20165	1382	27	cylinder	cylinder	NN
20165	1382	28	or	or	CC
20165	1382	29	column	column	NN
20165	1382	30	shall	shall	MD
20165	1382	31	be	be	VB
20165	1382	32	smaller	small	JJR
20165	1382	33	than	than	IN
20165	1382	34	the	the	DT
20165	1382	35	lower	low	JJR
20165	1382	36	.	.	.
20165	1383	1	[	[	-LRB-
20165	1383	2	Illustration	illustration	NN
20165	1383	3	:	:	:
20165	1383	4	Fig	Fig	NNP
20165	1383	5	.	.	.
20165	1384	1	185	185	CD
20165	1384	2	.	.	.
20165	1384	3	]	]	-RRB-
20165	1385	1	XCIX	xcix	NN
20165	1385	2	TO	to	IN
20165	1385	3	DRAW	draw	VB
20165	1385	4	A	a	DT
20165	1385	5	CIRCLE	circle	NN
20165	1385	6	BELOW	below	IN
20165	1385	7	A	a	DT
20165	1385	8	GIVEN	given	NN
20165	1385	9	CIRCLE	circle	NN
20165	1385	10	Construct	construct	VB
20165	1385	11	the	the	DT
20165	1385	12	upper	upper	JJ
20165	1385	13	square	square	NN
20165	1385	14	and	and	CC
20165	1385	15	circle	circle	NN
20165	1385	16	as	as	IN
20165	1385	17	before	before	RB
20165	1385	18	,	,	,
20165	1385	19	then	then	RB
20165	1385	20	by	by	IN
20165	1385	21	means	mean	NNS
20165	1385	22	of	of	IN
20165	1385	23	the	the	DT
20165	1385	24	vanishing	vanish	VBG
20165	1385	25	scale	scale	NN
20165	1385	26	_	_	NNP
20165	1385	27	POV	POV	NNP
20165	1385	28	_	_	NNP
20165	1385	29	,	,	,
20165	1385	30	which	which	WDT
20165	1385	31	should	should	MD
20165	1385	32	be	be	VB
20165	1385	33	made	make	VBN
20165	1385	34	the	the	DT
20165	1385	35	depth	depth	NN
20165	1385	36	required	require	VBN
20165	1385	37	,	,	,
20165	1385	38	drop	drop	VB
20165	1385	39	perpendiculars	perpendicular	NNS
20165	1385	40	from	from	IN
20165	1385	41	the	the	DT
20165	1385	42	various	various	JJ
20165	1385	43	points	point	NNS
20165	1385	44	marked	mark	VBN
20165	1385	45	_	_	NNP
20165	1385	46	O	O	NNP
20165	1385	47	_	_	NNP
20165	1385	48	,	,	,
20165	1385	49	obtained	obtain	VBN
20165	1385	50	by	by	IN
20165	1385	51	the	the	DT
20165	1385	52	diagonals	diagonal	NNS
20165	1385	53	,	,	,
20165	1385	54	making	make	VBG
20165	1385	55	them	-PRON-	PRP
20165	1385	56	the	the	DT
20165	1385	57	right	right	JJ
20165	1385	58	depth	depth	NN
20165	1385	59	by	by	IN
20165	1385	60	referring	refer	VBG
20165	1385	61	them	-PRON-	PRP
20165	1385	62	to	to	IN
20165	1385	63	the	the	DT
20165	1385	64	vanishing	vanish	VBG
20165	1385	65	scale	scale	NN
20165	1385	66	,	,	,
20165	1385	67	as	as	IN
20165	1385	68	shown	show	VBN
20165	1385	69	in	in	IN
20165	1385	70	this	this	DT
20165	1385	71	figure	figure	NN
20165	1385	72	.	.	.
20165	1386	1	This	this	DT
20165	1386	2	can	can	MD
20165	1386	3	be	be	VB
20165	1386	4	used	use	VBN
20165	1386	5	for	for	IN
20165	1386	6	drawing	draw	VBG
20165	1386	7	garden	garden	NN
20165	1386	8	fountains	fountain	NNS
20165	1386	9	,	,	,
20165	1386	10	basins	basin	NNS
20165	1386	11	,	,	,
20165	1386	12	and	and	CC
20165	1386	13	various	various	JJ
20165	1386	14	architectural	architectural	JJ
20165	1386	15	objects	object	NNS
20165	1386	16	.	.	.
20165	1387	1	[	[	-LRB-
20165	1387	2	Illustration	illustration	NN
20165	1387	3	:	:	:
20165	1387	4	Fig	Fig	NNP
20165	1387	5	.	.	.
20165	1388	1	186	186	CD
20165	1388	2	.	.	.
20165	1388	3	]	]	-RRB-
20165	1389	1	C	c	NN
20165	1389	2	APPLICATION	application	NN
20165	1389	3	OF	of	IN
20165	1389	4	PREVIOUS	previous	NN
20165	1389	5	PROBLEM	problem	NN
20165	1389	6	That	that	WDT
20165	1389	7	is	is	RB
20165	1389	8	,	,	,
20165	1389	9	to	to	TO
20165	1389	10	draw	draw	VB
20165	1389	11	a	a	DT
20165	1389	12	circle	circle	NN
20165	1389	13	above	above	IN
20165	1389	14	a	a	DT
20165	1389	15	circle	circle	NN
20165	1389	16	.	.	.
20165	1390	1	In	in	IN
20165	1390	2	Fig	Fig	NNP
20165	1390	3	.	.	.
20165	1391	1	187	187	CD
20165	1391	2	can	can	MD
20165	1391	3	be	be	VB
20165	1391	4	seen	see	VBN
20165	1391	5	how	how	WRB
20165	1391	6	by	by	IN
20165	1391	7	means	mean	NNS
20165	1391	8	of	of	IN
20165	1391	9	the	the	DT
20165	1391	10	vanishing	vanish	VBG
20165	1391	11	scale	scale	NN
20165	1391	12	at	at	IN
20165	1391	13	the	the	DT
20165	1391	14	side	side	NN
20165	1391	15	we	-PRON-	PRP
20165	1391	16	obtain	obtain	VBP
20165	1391	17	the	the	DT
20165	1391	18	height	height	NN
20165	1391	19	of	of	IN
20165	1391	20	the	the	DT
20165	1391	21	verticals	vertical	NNS
20165	1391	22	1	1	CD
20165	1391	23	,	,	,
20165	1391	24	2	2	CD
20165	1391	25	,	,	,
20165	1391	26	3	3	CD
20165	1391	27	,	,	,
20165	1391	28	4	4	CD
20165	1391	29	,	,	,
20165	1391	30	&	&	CC
20165	1391	31	c.	c.	NNP
20165	1391	32	,	,	,
20165	1391	33	which	which	WDT
20165	1391	34	determine	determine	VBP
20165	1391	35	the	the	DT
20165	1391	36	direction	direction	NN
20165	1391	37	of	of	IN
20165	1391	38	the	the	DT
20165	1391	39	upper	upper	JJ
20165	1391	40	circle	circle	NN
20165	1391	41	;	;	:
20165	1391	42	and	and	CC
20165	1391	43	in	in	IN
20165	1391	44	this	this	DT
20165	1391	45	second	second	JJ
20165	1391	46	figure	figure	NN
20165	1391	47	,	,	,
20165	1391	48	how	how	WRB
20165	1391	49	we	-PRON-	PRP
20165	1391	50	resort	resort	VBP
20165	1391	51	to	to	IN
20165	1391	52	the	the	DT
20165	1391	53	same	same	JJ
20165	1391	54	means	mean	NNS
20165	1391	55	to	to	TO
20165	1391	56	draw	draw	VB
20165	1391	57	circular	circular	JJ
20165	1391	58	steps	step	NNS
20165	1391	59	.	.	.
20165	1392	1	[	[	-LRB-
20165	1392	2	Illustration	illustration	NN
20165	1392	3	:	:	:
20165	1392	4	Fig	Fig	NNP
20165	1392	5	.	.	.
20165	1393	1	187	187	CD
20165	1393	2	.	.	.
20165	1393	3	]	]	-RRB-
20165	1394	1	[	[	-LRB-
20165	1394	2	Illustration	illustration	NN
20165	1394	3	:	:	:
20165	1394	4	Fig	Fig	NNP
20165	1394	5	.	.	.
20165	1395	1	188	188	CD
20165	1395	2	.	.	.
20165	1395	3	]	]	-RRB-
20165	1396	1	CI	CI	NNP
20165	1396	2	DORIC	doric	JJ
20165	1396	3	COLUMNS	COLUMNS	NNP
20165	1396	4	It	-PRON-	PRP
20165	1396	5	is	be	VBZ
20165	1396	6	as	as	RB
20165	1396	7	well	well	RB
20165	1396	8	for	for	IN
20165	1396	9	the	the	DT
20165	1396	10	art	art	NN
20165	1396	11	student	student	NN
20165	1396	12	to	to	TO
20165	1396	13	study	study	VB
20165	1396	14	the	the	DT
20165	1396	15	different	different	JJ
20165	1396	16	orders	order	NNS
20165	1396	17	of	of	IN
20165	1396	18	architecture	architecture	NN
20165	1396	19	,	,	,
20165	1396	20	whether	whether	IN
20165	1396	21	architect	architect	NN
20165	1396	22	or	or	CC
20165	1396	23	not	not	RB
20165	1396	24	,	,	,
20165	1396	25	as	as	IN
20165	1396	26	he	-PRON-	PRP
20165	1396	27	frequently	frequently	RB
20165	1396	28	has	have	VBZ
20165	1396	29	to	to	TO
20165	1396	30	introduce	introduce	VB
20165	1396	31	them	-PRON-	PRP
20165	1396	32	into	into	IN
20165	1396	33	his	-PRON-	PRP$
20165	1396	34	pictures	picture	NNS
20165	1396	35	,	,	,
20165	1396	36	and	and	CC
20165	1396	37	at	at	IN
20165	1396	38	least	least	JJS
20165	1396	39	must	must	MD
20165	1396	40	know	know	VB
20165	1396	41	their	-PRON-	PRP$
20165	1396	42	proportions	proportion	NNS
20165	1396	43	,	,	,
20165	1396	44	and	and	CC
20165	1396	45	how	how	WRB
20165	1396	46	columns	column	NNS
20165	1396	47	diminish	diminish	VBP
20165	1396	48	from	from	IN
20165	1396	49	base	base	NN
20165	1396	50	to	to	IN
20165	1396	51	capital	capital	NN
20165	1396	52	,	,	,
20165	1396	53	as	as	IN
20165	1396	54	shown	show	VBN
20165	1396	55	in	in	IN
20165	1396	56	this	this	DT
20165	1396	57	illustration	illustration	NN
20165	1396	58	.	.	.
20165	1397	1	[	[	-LRB-
20165	1397	2	Illustration	illustration	NN
20165	1397	3	:	:	:
20165	1397	4	Fig	Fig	NNP
20165	1397	5	.	.	.
20165	1398	1	189	189	CD
20165	1398	2	.	.	.
20165	1398	3	]	]	-RRB-
20165	1399	1	CII	cii	NN
20165	1399	2	TO	to	IN
20165	1399	3	DRAW	DRAW	NNP
20165	1399	4	SEMICIRCLES	semicircle	NNS
20165	1399	5	STANDING	stand	VBG
20165	1399	6	UPON	upon	IN
20165	1399	7	A	a	DT
20165	1399	8	CIRCLE	CIRCLE	NNP
20165	1399	9	AT	AT	NNP
20165	1399	10	ANY	any	DT
20165	1399	11	ANGLE	ANGLE	NNS
20165	1399	12	[	[	-LRB-
20165	1399	13	Illustration	illustration	NN
20165	1399	14	:	:	:
20165	1399	15	Fig	Fig	NNP
20165	1399	16	.	.	.
20165	1400	1	190	190	CD
20165	1400	2	.	.	.
20165	1400	3	]	]	-RRB-
20165	1401	1	Given	give	VBN
20165	1401	2	the	the	DT
20165	1401	3	circle	circle	NN
20165	1401	4	_	_	NNP
20165	1401	5	ACBH	ACBH	NNP
20165	1401	6	_	_	NNP
20165	1401	7	,	,	,
20165	1401	8	on	on	IN
20165	1401	9	diagonal	diagonal	JJ
20165	1401	10	_	_	NNP
20165	1401	11	AB	AB	NNP
20165	1401	12	_	_	NNP
20165	1401	13	draw	draw	NN
20165	1401	14	semicircle	semicircle	NN
20165	1401	15	_	_	NNP
20165	1401	16	AKB	AKB	NNP
20165	1401	17	_	_	NNP
20165	1401	18	,	,	,
20165	1401	19	and	and	CC
20165	1401	20	on	on	IN
20165	1401	21	the	the	DT
20165	1401	22	same	same	JJ
20165	1401	23	line	line	NN
20165	1401	24	_	_	NNP
20165	1401	25	AB	AB	NNP
20165	1401	26	_	_	NNP
20165	1401	27	draw	draw	NN
20165	1401	28	rectangle	rectangle	NNP
20165	1401	29	_	_	NNP
20165	1401	30	AEFB	AEFB	NNP
20165	1401	31	_	_	NNP
20165	1401	32	,	,	,
20165	1401	33	its	-PRON-	PRP$
20165	1401	34	height	height	NN
20165	1401	35	being	be	VBG
20165	1401	36	determined	determine	VBN
20165	1401	37	by	by	IN
20165	1401	38	radius	radius	NN
20165	1401	39	_	_	NNP
20165	1401	40	OK	OK	NNP
20165	1401	41	_	_	NNP
20165	1401	42	of	of	IN
20165	1401	43	semicircle	semicircle	NNP
20165	1401	44	.	.	.
20165	1402	1	From	from	IN
20165	1402	2	centre	centre	NN
20165	1402	3	_	_	NNP
20165	1402	4	O	O	NNP
20165	1402	5	_	_	NNP
20165	1402	6	draw	draw	NN
20165	1402	7	_	_	NNP
20165	1402	8	OF	of	IN
20165	1402	9	_	_	NNP
20165	1402	10	to	to	IN
20165	1402	11	corner	corner	NN
20165	1402	12	of	of	IN
20165	1402	13	rectangle	rectangle	NNP
20165	1402	14	.	.	.
20165	1403	1	Through	through	IN
20165	1403	2	_	_	NNP
20165	1403	3	f	f	NNP
20165	1403	4	·	·	NFP
20165	1403	5	_	_	NNP
20165	1403	6	,	,	,
20165	1403	7	where	where	WRB
20165	1403	8	that	that	DT
20165	1403	9	line	line	NN
20165	1403	10	intersects	intersect	VBZ
20165	1403	11	the	the	DT
20165	1403	12	semicircle	semicircle	NN
20165	1403	13	,	,	,
20165	1403	14	draw	draw	VB
20165	1403	15	_	_	NNP
20165	1403	16	mn	mn	NNP
20165	1403	17	_	_	NNP
20165	1403	18	parallel	parallel	NN
20165	1403	19	to	to	IN
20165	1403	20	_	_	NNP
20165	1403	21	AB	AB	NNP
20165	1403	22	_	_	NNP
20165	1403	23	.	.	.
20165	1404	1	This	this	DT
20165	1404	2	will	will	MD
20165	1404	3	give	give	VB
20165	1404	4	intersection	intersection	NN
20165	1404	5	_	_	NNP
20165	1404	6	O	o	NN
20165	1404	7	·	·	NFP
20165	1404	8	_	_	NNP
20165	1404	9	on	on	IN
20165	1404	10	the	the	DT
20165	1404	11	vertical	vertical	JJ
20165	1404	12	_	_	NNP
20165	1404	13	OK	ok	UH
20165	1404	14	_	_	NNP
20165	1404	15	,	,	,
20165	1404	16	through	through	IN
20165	1404	17	which	which	WDT
20165	1404	18	all	all	DT
20165	1404	19	such	such	JJ
20165	1404	20	horizontals	horizontal	NNS
20165	1404	21	as	as	IN
20165	1404	22	_	_	NNP
20165	1404	23	m·n	m·n	NNP
20165	1404	24	·	·	NFP
20165	1404	25	_	_	NNP
20165	1404	26	,	,	,
20165	1404	27	level	level	NN
20165	1404	28	with	with	IN
20165	1404	29	_	_	NNP
20165	1404	30	mn	mn	NNP
20165	1404	31	_	_	NNP
20165	1404	32	,	,	,
20165	1404	33	must	must	MD
20165	1404	34	pass	pass	VB
20165	1404	35	.	.	.
20165	1405	1	Now	now	RB
20165	1405	2	take	take	VB
20165	1405	3	any	any	DT
20165	1405	4	other	other	JJ
20165	1405	5	diameter	diameter	NN
20165	1405	6	,	,	,
20165	1405	7	such	such	JJ
20165	1405	8	as	as	IN
20165	1405	9	_	_	NNP
20165	1405	10	GH	GH	NNP
20165	1405	11	_	_	NNP
20165	1405	12	,	,	,
20165	1405	13	and	and	CC
20165	1405	14	thereon	thereon	NN
20165	1405	15	raise	raise	NN
20165	1405	16	rectangle	rectangle	NNP
20165	1405	17	_	_	NNP
20165	1405	18	GghH	GghH	NNP
20165	1405	19	_	_	NNP
20165	1405	20	,	,	,
20165	1405	21	the	the	DT
20165	1405	22	same	same	JJ
20165	1405	23	height	height	NN
20165	1405	24	as	as	IN
20165	1405	25	the	the	DT
20165	1405	26	other	other	JJ
20165	1405	27	.	.	.
20165	1406	1	The	the	DT
20165	1406	2	manner	manner	NN
20165	1406	3	of	of	IN
20165	1406	4	doing	do	VBG
20165	1406	5	this	this	DT
20165	1406	6	is	be	VBZ
20165	1406	7	to	to	TO
20165	1406	8	produce	produce	VB
20165	1406	9	diameter	diameter	NN
20165	1406	10	_	_	NNP
20165	1406	11	GH	GH	NNP
20165	1406	12	_	_	NNP
20165	1406	13	to	to	IN
20165	1406	14	the	the	DT
20165	1406	15	horizon	horizon	NN
20165	1406	16	till	till	IN
20165	1406	17	it	-PRON-	PRP
20165	1406	18	finds	find	VBZ
20165	1406	19	its	-PRON-	PRP$
20165	1406	20	vanishing	vanishing	JJ
20165	1406	21	point	point	NN
20165	1406	22	at	at	IN
20165	1406	23	_	_	NNP
20165	1406	24	V	V	NNP
20165	1406	25	_	_	NNP
20165	1406	26	.	.	.
20165	1407	1	From	from	IN
20165	1407	2	_	_	NNP
20165	1407	3	V	V	NNP
20165	1407	4	_	_	NNP
20165	1407	5	through	through	IN
20165	1407	6	_	_	NNP
20165	1407	7	K	K	NNP
20165	1407	8	_	_	NNP
20165	1407	9	draw	draw	NN
20165	1407	10	_	_	NNP
20165	1407	11	hg	hg	NNP
20165	1407	12	_	_	NNP
20165	1407	13	,	,	,
20165	1407	14	and	and	CC
20165	1407	15	through	through	IN
20165	1407	16	_	_	NNP
20165	1407	17	O	O	NNP
20165	1407	18	·	·	NFP
20165	1407	19	_	_	NNP
20165	1407	20	draw	draw	NN
20165	1407	21	_	_	NNP
20165	1407	22	n·m	n·m	NNP
20165	1407	23	·	·	NFP
20165	1407	24	_	_	NNP
20165	1407	25	.	.	.
20165	1408	1	From	from	IN
20165	1408	2	_	_	NNP
20165	1408	3	O	O	NNP
20165	1408	4	_	_	NNP
20165	1408	5	draw	draw	VB
20165	1408	6	the	the	DT
20165	1408	7	two	two	CD
20165	1408	8	diagonals	diagonal	NNS
20165	1408	9	_	_	NNP
20165	1408	10	og	og	NNP
20165	1408	11	_	_	NNP
20165	1408	12	and	and	CC
20165	1408	13	_	_	NNP
20165	1408	14	oh	oh	UH
20165	1408	15	_	_	NNP
20165	1408	16	,	,	,
20165	1408	17	intersecting	intersect	VBG
20165	1408	18	_	_	NNP
20165	1408	19	m·n	m·n	NNP
20165	1408	20	·	·	NFP
20165	1408	21	_	_	XX
20165	1408	22	at	at	IN
20165	1408	23	_	_	NNP
20165	1408	24	O	O	NNP
20165	1408	25	_	_	NNP
20165	1408	26	,	,	,
20165	1408	27	_	_	NNP
20165	1408	28	O	O	NNP
20165	1408	29	_	_	NNP
20165	1408	30	,	,	,
20165	1408	31	and	and	CC
20165	1408	32	thus	thus	RB
20165	1408	33	we	-PRON-	PRP
20165	1408	34	have	have	VBP
20165	1408	35	the	the	DT
20165	1408	36	five	five	CD
20165	1408	37	points	point	NNS
20165	1408	38	_	_	IN
20165	1408	39	GOKOH	GOKOH	NNP
20165	1408	40	_	_	NNP
20165	1408	41	through	through	IN
20165	1408	42	which	which	WDT
20165	1408	43	to	to	TO
20165	1408	44	draw	draw	VB
20165	1408	45	the	the	DT
20165	1408	46	required	require	VBN
20165	1408	47	semicircle	semicircle	NN
20165	1408	48	.	.	.
20165	1409	1	CIII	CIII	NNP
20165	1409	2	A	a	DT
20165	1409	3	DOME	dome	NN
20165	1409	4	STANDING	stand	VBG
20165	1409	5	ON	on	IN
20165	1409	6	A	a	DT
20165	1409	7	CYLINDER	CYLINDER	NNP
20165	1409	8	[	[	-LRB-
20165	1409	9	Illustration	illustration	NN
20165	1409	10	:	:	:
20165	1409	11	Fig	Fig	NNP
20165	1409	12	.	.	.
20165	1410	1	191	191	CD
20165	1410	2	.	.	.
20165	1410	3	]	]	-RRB-
20165	1411	1	This	this	DT
20165	1411	2	figure	figure	NN
20165	1411	3	is	be	VBZ
20165	1411	4	a	a	DT
20165	1411	5	combination	combination	NN
20165	1411	6	of	of	IN
20165	1411	7	the	the	DT
20165	1411	8	two	two	CD
20165	1411	9	preceding	precede	VBG
20165	1411	10	it	-PRON-	PRP
20165	1411	11	.	.	.
20165	1412	1	A	a	DT
20165	1412	2	cylinder	cylinder	NN
20165	1412	3	is	be	VBZ
20165	1412	4	first	first	RB
20165	1412	5	raised	raise	VBN
20165	1412	6	on	on	IN
20165	1412	7	the	the	DT
20165	1412	8	circle	circle	NN
20165	1412	9	,	,	,
20165	1412	10	and	and	CC
20165	1412	11	on	on	IN
20165	1412	12	the	the	DT
20165	1412	13	top	top	NN
20165	1412	14	of	of	IN
20165	1412	15	that	that	DT
20165	1412	16	we	-PRON-	PRP
20165	1412	17	draw	draw	VBP
20165	1412	18	semicircles	semicircle	NNS
20165	1412	19	from	from	IN
20165	1412	20	the	the	DT
20165	1412	21	different	different	JJ
20165	1412	22	divisions	division	NNS
20165	1412	23	on	on	IN
20165	1412	24	the	the	DT
20165	1412	25	circumference	circumference	NN
20165	1412	26	of	of	IN
20165	1412	27	the	the	DT
20165	1412	28	upper	upper	JJ
20165	1412	29	circle	circle	NN
20165	1412	30	.	.	.
20165	1413	1	This	this	DT
20165	1413	2	,	,	,
20165	1413	3	however	however	RB
20165	1413	4	,	,	,
20165	1413	5	only	only	RB
20165	1413	6	represents	represent	VBZ
20165	1413	7	a	a	DT
20165	1413	8	small	small	JJ
20165	1413	9	half	half	JJ
20165	1413	10	-	-	HYPH
20165	1413	11	globular	globular	JJ
20165	1413	12	object	object	NN
20165	1413	13	.	.	.
20165	1414	1	To	to	TO
20165	1414	2	draw	draw	VB
20165	1414	3	the	the	DT
20165	1414	4	dome	dome	NN
20165	1414	5	of	of	IN
20165	1414	6	a	a	DT
20165	1414	7	cathedral	cathedral	JJ
20165	1414	8	,	,	,
20165	1414	9	or	or	CC
20165	1414	10	other	other	JJ
20165	1414	11	building	building	NN
20165	1414	12	high	high	RB
20165	1414	13	above	above	IN
20165	1414	14	us	-PRON-	PRP
20165	1414	15	,	,	,
20165	1414	16	is	be	VBZ
20165	1414	17	another	another	DT
20165	1414	18	matter	matter	NN
20165	1414	19	.	.	.
20165	1415	1	From	from	IN
20165	1415	2	outside	outside	RB
20165	1415	3	,	,	,
20165	1415	4	where	where	WRB
20165	1415	5	we	-PRON-	PRP
20165	1415	6	can	can	MD
20165	1415	7	get	get	VB
20165	1415	8	to	to	IN
20165	1415	9	a	a	DT
20165	1415	10	distance	distance	NN
20165	1415	11	,	,	,
20165	1415	12	it	-PRON-	PRP
20165	1415	13	is	be	VBZ
20165	1415	14	not	not	RB
20165	1415	15	difficult	difficult	JJ
20165	1415	16	,	,	,
20165	1415	17	but	but	CC
20165	1415	18	from	from	IN
20165	1415	19	within	within	IN
20165	1415	20	it	-PRON-	PRP
20165	1415	21	will	will	MD
20165	1415	22	tax	tax	VB
20165	1415	23	all	all	PDT
20165	1415	24	our	-PRON-	PRP$
20165	1415	25	knowledge	knowledge	NN
20165	1415	26	of	of	IN
20165	1415	27	perspective	perspective	NN
20165	1415	28	to	to	TO
20165	1415	29	give	give	VB
20165	1415	30	it	-PRON-	PRP
20165	1415	31	effect	effect	NN
20165	1415	32	.	.	.
20165	1416	1	We	-PRON-	PRP
20165	1416	2	shall	shall	MD
20165	1416	3	go	go	VB
20165	1416	4	more	more	RBR
20165	1416	5	into	into	IN
20165	1416	6	this	this	DT
20165	1416	7	subject	subject	NN
20165	1416	8	when	when	WRB
20165	1416	9	we	-PRON-	PRP
20165	1416	10	come	come	VBP
20165	1416	11	to	to	IN
20165	1416	12	archways	archway	NNS
20165	1416	13	and	and	CC
20165	1416	14	vaulted	vault	VBN
20165	1416	15	roofs	roofs	NNP
20165	1416	16	,	,	,
20165	1416	17	&	&	CC
20165	1416	18	c.	c.	NNP
20165	1416	19	CIV	CIV	NNP
20165	1416	20	SECTION	SECTION	NNP
20165	1416	21	OF	of	IN
20165	1416	22	A	a	DT
20165	1416	23	DOME	dome	NN
20165	1416	24	OR	or	CC
20165	1416	25	NICHE	niche	NN
20165	1416	26	[	[	-LRB-
20165	1416	27	Illustration	illustration	NN
20165	1416	28	:	:	:
20165	1416	29	Fig	Fig	NNP
20165	1416	30	.	.	.
20165	1417	1	192	192	CD
20165	1417	2	.	.	.
20165	1417	3	]	]	-RRB-
20165	1418	1	First	first	RB
20165	1418	2	draw	draw	VB
20165	1418	3	outline	outline	NN
20165	1418	4	of	of	IN
20165	1418	5	the	the	DT
20165	1418	6	niche	niche	NN
20165	1418	7	_	_	NNP
20165	1418	8	GFDBA	GFDBA	NNP
20165	1418	9	_	_	NNP
20165	1418	10	(	(	-LRB-
20165	1418	11	Fig	Fig	NNP
20165	1418	12	.	.	.
20165	1419	1	193	193	CD
20165	1419	2	)	)	-RRB-
20165	1419	3	,	,	,
20165	1419	4	then	then	RB
20165	1419	5	at	at	IN
20165	1419	6	its	-PRON-	PRP$
20165	1419	7	base	base	NN
20165	1419	8	draw	draw	NN
20165	1419	9	square	square	NN
20165	1419	10	and	and	CC
20165	1419	11	circle	circle	NN
20165	1419	12	_	_	NNP
20165	1419	13	GOA	GOA	NNP
20165	1419	14	_	_	NNP
20165	1419	15	,	,	,
20165	1419	16	_	_	NNP
20165	1419	17	S	S	NNP
20165	1419	18	_	_	NNP
20165	1419	19	being	be	VBG
20165	1419	20	the	the	DT
20165	1419	21	point	point	NN
20165	1419	22	of	of	IN
20165	1419	23	sight	sight	NN
20165	1419	24	,	,	,
20165	1419	25	and	and	CC
20165	1419	26	divide	divide	VB
20165	1419	27	the	the	DT
20165	1419	28	circumference	circumference	NN
20165	1419	29	of	of	IN
20165	1419	30	the	the	DT
20165	1419	31	circle	circle	NN
20165	1419	32	into	into	IN
20165	1419	33	the	the	DT
20165	1419	34	required	require	VBN
20165	1419	35	number	number	NN
20165	1419	36	of	of	IN
20165	1419	37	parts	part	NNS
20165	1419	38	.	.	.
20165	1420	1	Then	then	RB
20165	1420	2	draw	draw	VB
20165	1420	3	semicircle	semicircle	NN
20165	1420	4	_	_	NNP
20165	1420	5	FOB	FOB	NNP
20165	1420	6	_	_	NNP
20165	1420	7	,	,	,
20165	1420	8	and	and	CC
20165	1420	9	over	over	IN
20165	1420	10	that	that	DT
20165	1420	11	another	another	DT
20165	1420	12	semicircle	semicircle	NN
20165	1420	13	_	_	NNP
20165	1420	14	EOC	EOC	NNP
20165	1420	15	_	_	NNP
20165	1420	16	.	.	.
20165	1421	1	The	the	DT
20165	1421	2	manner	manner	NN
20165	1421	3	of	of	IN
20165	1421	4	drawing	draw	VBG
20165	1421	5	them	-PRON-	PRP
20165	1421	6	is	be	VBZ
20165	1421	7	shown	show	VBN
20165	1421	8	in	in	IN
20165	1421	9	Fig	Fig	NNP
20165	1421	10	.	.	.
20165	1422	1	192	192	CD
20165	1422	2	.	.	.
20165	1423	1	From	from	IN
20165	1423	2	the	the	DT
20165	1423	3	divisions	division	NNS
20165	1423	4	on	on	IN
20165	1423	5	the	the	DT
20165	1423	6	circle	circle	NN
20165	1423	7	_	_	NNP
20165	1423	8	GOA	GOA	NNP
20165	1423	9	_	_	NNP
20165	1423	10	raise	raise	NN
20165	1423	11	verticals	vertical	NNS
20165	1423	12	to	to	TO
20165	1423	13	semicircle	semicircle	VB
20165	1423	14	_	_	NNP
20165	1423	15	FOB	FOB	NNP
20165	1423	16	_	_	NNP
20165	1423	17	,	,	,
20165	1423	18	which	which	WDT
20165	1423	19	will	will	MD
20165	1423	20	divide	divide	VB
20165	1423	21	it	-PRON-	PRP
20165	1423	22	in	in	IN
20165	1423	23	the	the	DT
20165	1423	24	same	same	JJ
20165	1423	25	way	way	NN
20165	1423	26	.	.	.
20165	1424	1	Divide	divide	VB
20165	1424	2	the	the	DT
20165	1424	3	smaller	small	JJR
20165	1424	4	semicircle	semicircle	NN
20165	1424	5	_	_	NNP
20165	1424	6	EOC	EOC	NNP
20165	1424	7	_	_	NNP
20165	1424	8	into	into	IN
20165	1424	9	the	the	DT
20165	1424	10	same	same	JJ
20165	1424	11	number	number	NN
20165	1424	12	of	of	IN
20165	1424	13	parts	part	NNS
20165	1424	14	as	as	IN
20165	1424	15	the	the	DT
20165	1424	16	others	other	NNS
20165	1424	17	,	,	,
20165	1424	18	which	which	WDT
20165	1424	19	divisions	division	NNS
20165	1424	20	will	will	MD
20165	1424	21	serve	serve	VB
20165	1424	22	as	as	IN
20165	1424	23	guiding	guide	VBG
20165	1424	24	points	point	NNS
20165	1424	25	in	in	IN
20165	1424	26	drawing	draw	VBG
20165	1424	27	the	the	DT
20165	1424	28	curves	curve	NNS
20165	1424	29	of	of	IN
20165	1424	30	the	the	DT
20165	1424	31	dome	dome	NN
20165	1424	32	that	that	WDT
20165	1424	33	are	be	VBP
20165	1424	34	drawn	draw	VBN
20165	1424	35	towards	towards	IN
20165	1424	36	_	_	NNP
20165	1424	37	D	D	NNP
20165	1424	38	_	_	NNP
20165	1424	39	,	,	,
20165	1424	40	but	but	CC
20165	1424	41	the	the	DT
20165	1424	42	shading	shading	NN
20165	1424	43	must	must	MD
20165	1424	44	assist	assist	VB
20165	1424	45	greatly	greatly	RB
20165	1424	46	in	in	IN
20165	1424	47	giving	give	VBG
20165	1424	48	the	the	DT
20165	1424	49	effect	effect	NN
20165	1424	50	of	of	IN
20165	1424	51	the	the	DT
20165	1424	52	recess	recess	NN
20165	1424	53	.	.	.
20165	1425	1	[	[	-LRB-
20165	1425	2	Illustration	illustration	NN
20165	1425	3	:	:	:
20165	1425	4	Fig	Fig	NNP
20165	1425	5	.	.	.
20165	1426	1	193	193	CD
20165	1426	2	.	.	.
20165	1426	3	]	]	-RRB-
20165	1427	1	In	in	IN
20165	1427	2	Fig	Fig	NNP
20165	1427	3	.	.	.
20165	1428	1	192	192	CD
20165	1428	2	will	will	MD
20165	1428	3	be	be	VB
20165	1428	4	seen	see	VBN
20165	1428	5	how	how	WRB
20165	1428	6	to	to	TO
20165	1428	7	draw	draw	VB
20165	1428	8	semicircles	semicircle	NNS
20165	1428	9	in	in	IN
20165	1428	10	perspective	perspective	NN
20165	1428	11	.	.	.
20165	1429	1	We	-PRON-	PRP
20165	1429	2	first	first	RB
20165	1429	3	draw	draw	VBP
20165	1429	4	the	the	DT
20165	1429	5	half	half	JJ
20165	1429	6	squares	square	NNS
20165	1429	7	by	by	IN
20165	1429	8	drawing	draw	VBG
20165	1429	9	from	from	IN
20165	1429	10	centres	centre	NNS
20165	1429	11	_	_	NNP
20165	1429	12	O	O	NNP
20165	1429	13	_	_	XX
20165	1429	14	of	of	IN
20165	1429	15	their	-PRON-	PRP$
20165	1429	16	diameters	diameter	NNS
20165	1429	17	diagonals	diagonal	NNS
20165	1429	18	to	to	IN
20165	1429	19	distance	distance	NN
20165	1429	20	-	-	HYPH
20165	1429	21	point	point	NN
20165	1429	22	,	,	,
20165	1429	23	as	as	IN
20165	1429	24	_	_	NNP
20165	1429	25	OD	OD	NNP
20165	1429	26	_	_	NNP
20165	1429	27	,	,	,
20165	1429	28	which	which	WDT
20165	1429	29	cuts	cut	VBZ
20165	1429	30	the	the	DT
20165	1429	31	vanishing	vanish	VBG
20165	1429	32	line	line	NN
20165	1429	33	BS	BS	NNP
20165	1429	34	at	at	IN
20165	1429	35	_	_	NNP
20165	1429	36	m	m	NNP
20165	1429	37	_	_	NNP
20165	1429	38	,	,	,
20165	1429	39	and	and	CC
20165	1429	40	gives	give	VBZ
20165	1429	41	us	-PRON-	PRP
20165	1429	42	the	the	DT
20165	1429	43	depth	depth	NN
20165	1429	44	of	of	IN
20165	1429	45	the	the	DT
20165	1429	46	square	square	NN
20165	1429	47	,	,	,
20165	1429	48	and	and	CC
20165	1429	49	in	in	IN
20165	1429	50	this	this	DT
20165	1429	51	we	-PRON-	PRP
20165	1429	52	draw	draw	VBP
20165	1429	53	the	the	DT
20165	1429	54	semicircle	semicircle	NN
20165	1429	55	in	in	IN
20165	1429	56	the	the	DT
20165	1429	57	usual	usual	JJ
20165	1429	58	way	way	NN
20165	1429	59	.	.	.
20165	1430	1	[	[	-LRB-
20165	1430	2	Illustration	illustration	NN
20165	1430	3	:	:	:
20165	1430	4	Fig	Fig	NNP
20165	1430	5	.	.	.
20165	1431	1	194	194	CD
20165	1431	2	.	.	.
20165	1432	1	A	a	DT
20165	1432	2	Dome	Dome	NNP
20165	1432	3	.	.	.
20165	1432	4	]	]	-RRB-
20165	1433	1	CV	CV	NNP
20165	1433	2	A	A	NNP
20165	1433	3	DOME	dome	NN
20165	1433	4	First	first	RB
20165	1433	5	draw	draw	VB
20165	1433	6	a	a	DT
20165	1433	7	section	section	NN
20165	1433	8	of	of	IN
20165	1433	9	the	the	DT
20165	1433	10	dome	dome	NN
20165	1433	11	ACEDB	ACEDB	NNP
20165	1433	12	(	(	-LRB-
20165	1433	13	Fig	fig	NN
20165	1433	14	.	.	.
20165	1434	1	194	194	LS
20165	1434	2	)	)	-RRB-
20165	1434	3	the	the	DT
20165	1434	4	shape	shape	NN
20165	1434	5	required	require	VBD
20165	1434	6	.	.	.
20165	1435	1	Draw	Draw	NNP
20165	1435	2	_	_	NNP
20165	1435	3	AB	AB	NNP
20165	1435	4	_	_	NNP
20165	1435	5	at	at	IN
20165	1435	6	its	-PRON-	PRP$
20165	1435	7	base	base	NN
20165	1435	8	and	and	CC
20165	1435	9	_	_	NNP
20165	1435	10	CD	CD	NNP
20165	1435	11	_	_	NNP
20165	1435	12	at	at	IN
20165	1435	13	some	some	DT
20165	1435	14	distance	distance	NN
20165	1435	15	above	above	IN
20165	1435	16	it	-PRON-	PRP
20165	1435	17	.	.	.
20165	1436	1	Keeping	keep	VBG
20165	1436	2	these	these	DT
20165	1436	3	as	as	IN
20165	1436	4	central	central	JJ
20165	1436	5	lines	line	NNS
20165	1436	6	,	,	,
20165	1436	7	form	form	NN
20165	1436	8	squares	square	NNS
20165	1436	9	thereon	thereon	NN
20165	1436	10	by	by	IN
20165	1436	11	drawing	draw	VBG
20165	1436	12	_	_	NNP
20165	1436	13	SA	SA	NNP
20165	1436	14	_	_	NNP
20165	1436	15	,	,	,
20165	1436	16	_	_	NNP
20165	1436	17	SB	SB	NNP
20165	1436	18	_	_	NNP
20165	1436	19	,	,	,
20165	1436	20	_	_	NNP
20165	1436	21	SC	SC	NNP
20165	1436	22	_	_	NNP
20165	1436	23	,	,	,
20165	1436	24	_	_	NNP
20165	1436	25	SD	SD	NNP
20165	1436	26	_	_	NNP
20165	1436	27	,	,	,
20165	1436	28	&	&	CC
20165	1436	29	c.	c.	NNP
20165	1436	30	,	,	,
20165	1436	31	from	from	IN
20165	1436	32	point	point	NN
20165	1436	33	of	of	IN
20165	1436	34	sight	sight	NN
20165	1436	35	,	,	,
20165	1436	36	and	and	CC
20165	1436	37	determining	determine	VBG
20165	1436	38	their	-PRON-	PRP$
20165	1436	39	lengths	length	NNS
20165	1436	40	by	by	IN
20165	1436	41	diagonals	diagonal	NNS
20165	1436	42	_	_	NNP
20165	1436	43	fh	fh	NNP
20165	1436	44	_	_	NNP
20165	1436	45	,	,	,
20165	1436	46	_	_	NNP
20165	1436	47	f·h	f·h	NNP
20165	1436	48	·	·	NFP
20165	1436	49	_	_	NN
20165	1436	50	from	from	IN
20165	1436	51	point	point	NN
20165	1436	52	of	of	IN
20165	1436	53	distance	distance	NN
20165	1436	54	,	,	,
20165	1436	55	passing	pass	VBG
20165	1436	56	through	through	IN
20165	1436	57	_	_	NNP
20165	1436	58	O	O	NNP
20165	1436	59	_	_	NNP
20165	1436	60	.	.	.
20165	1437	1	Having	have	VBG
20165	1437	2	formed	form	VBN
20165	1437	3	the	the	DT
20165	1437	4	two	two	CD
20165	1437	5	squares	square	NNS
20165	1437	6	,	,	,
20165	1437	7	draw	draw	VBP
20165	1437	8	perspective	perspective	NN
20165	1437	9	circles	circle	NNS
20165	1437	10	in	in	IN
20165	1437	11	each	each	DT
20165	1437	12	,	,	,
20165	1437	13	and	and	CC
20165	1437	14	divide	divide	VB
20165	1437	15	their	-PRON-	PRP$
20165	1437	16	circumferences	circumference	NNS
20165	1437	17	into	into	IN
20165	1437	18	twelve	twelve	CD
20165	1437	19	or	or	CC
20165	1437	20	whatever	whatever	WDT
20165	1437	21	number	number	NN
20165	1437	22	of	of	IN
20165	1437	23	parts	part	NNS
20165	1437	24	are	be	VBP
20165	1437	25	needed	need	VBN
20165	1437	26	.	.	.
20165	1438	1	To	to	TO
20165	1438	2	complete	complete	VB
20165	1438	3	the	the	DT
20165	1438	4	figure	figure	NN
20165	1438	5	draw	draw	VB
20165	1438	6	from	from	IN
20165	1438	7	each	each	DT
20165	1438	8	division	division	NN
20165	1438	9	in	in	IN
20165	1438	10	the	the	DT
20165	1438	11	lower	low	JJR
20165	1438	12	circle	circle	NN
20165	1438	13	curves	curve	NNS
20165	1438	14	passing	pass	VBG
20165	1438	15	through	through	IN
20165	1438	16	the	the	DT
20165	1438	17	corresponding	correspond	VBG
20165	1438	18	divisions	division	NNS
20165	1438	19	in	in	IN
20165	1438	20	the	the	DT
20165	1438	21	upper	upper	JJ
20165	1438	22	one	one	NN
20165	1438	23	,	,	,
20165	1438	24	to	to	IN
20165	1438	25	the	the	DT
20165	1438	26	apex	apex	NN
20165	1438	27	.	.	.
20165	1439	1	But	but	CC
20165	1439	2	as	as	IN
20165	1439	3	these	these	DT
20165	1439	4	are	be	VBP
20165	1439	5	freehand	freehand	NN
20165	1439	6	lines	line	NNS
20165	1439	7	,	,	,
20165	1439	8	it	-PRON-	PRP
20165	1439	9	requires	require	VBZ
20165	1439	10	some	some	DT
20165	1439	11	taste	taste	NN
20165	1439	12	and	and	CC
20165	1439	13	knowledge	knowledge	NN
20165	1439	14	to	to	TO
20165	1439	15	draw	draw	VB
20165	1439	16	them	-PRON-	PRP
20165	1439	17	properly	properly	RB
20165	1439	18	,	,	,
20165	1439	19	and	and	CC
20165	1439	20	of	of	IN
20165	1439	21	course	course	NN
20165	1439	22	in	in	IN
20165	1439	23	a	a	DT
20165	1439	24	large	large	JJ
20165	1439	25	drawing	drawing	NN
20165	1439	26	several	several	JJ
20165	1439	27	more	more	JJR
20165	1439	28	squares	square	NNS
20165	1439	29	and	and	CC
20165	1439	30	circles	circle	NNS
20165	1439	31	might	may	MD
20165	1439	32	be	be	VB
20165	1439	33	added	add	VBN
20165	1439	34	to	to	TO
20165	1439	35	aid	aid	VB
20165	1439	36	the	the	DT
20165	1439	37	draughtsman	draughtsman	NN
20165	1439	38	.	.	.
20165	1440	1	The	the	DT
20165	1440	2	interior	interior	NN
20165	1440	3	of	of	IN
20165	1440	4	the	the	DT
20165	1440	5	dome	dome	NN
20165	1440	6	can	can	MD
20165	1440	7	be	be	VB
20165	1440	8	drawn	draw	VBN
20165	1440	9	in	in	IN
20165	1440	10	the	the	DT
20165	1440	11	same	same	JJ
20165	1440	12	way	way	NN
20165	1440	13	.	.	.
20165	1441	1	[	[	-LRB-
20165	1441	2	Illustration	illustration	NN
20165	1441	3	]	]	-RRB-
20165	1441	4	[	[	-LRB-
20165	1441	5	Illustration	illustration	NN
20165	1441	6	:	:	:
20165	1441	7	Fig	Fig	NNP
20165	1441	8	.	.	.
20165	1442	1	195	195	CD
20165	1442	2	.	.	.
20165	1442	3	]	]	-RRB-
20165	1443	1	CVI	CVI	NNP
20165	1443	2	HOW	how	WRB
20165	1443	3	TO	to	IN
20165	1443	4	DRAW	DRAW	NNP
20165	1443	5	COLUMNS	COLUMNS	NNP
20165	1443	6	STANDING	stand	VBG
20165	1443	7	IN	in	IN
20165	1443	8	A	a	DT
20165	1443	9	CIRCLE	circle	NN
20165	1443	10	In	in	IN
20165	1443	11	Fig	Fig	NNP
20165	1443	12	.	.	.
20165	1444	1	195	195	CD
20165	1444	2	are	be	VBP
20165	1444	3	sixteen	sixteen	CD
20165	1444	4	cylinders	cylinder	NNS
20165	1444	5	or	or	CC
20165	1444	6	columns	column	NNS
20165	1444	7	standing	stand	VBG
20165	1444	8	in	in	IN
20165	1444	9	a	a	DT
20165	1444	10	circle	circle	NN
20165	1444	11	.	.	.
20165	1445	1	First	first	RB
20165	1445	2	draw	draw	VB
20165	1445	3	the	the	DT
20165	1445	4	circle	circle	NN
20165	1445	5	on	on	IN
20165	1445	6	the	the	DT
20165	1445	7	ground	ground	NN
20165	1445	8	,	,	,
20165	1445	9	then	then	RB
20165	1445	10	divide	divide	VB
20165	1445	11	it	-PRON-	PRP
20165	1445	12	into	into	IN
20165	1445	13	sixteen	sixteen	CD
20165	1445	14	equal	equal	JJ
20165	1445	15	parts	part	NNS
20165	1445	16	,	,	,
20165	1445	17	and	and	CC
20165	1445	18	let	let	VB
20165	1445	19	each	each	DT
20165	1445	20	division	division	NN
20165	1445	21	be	be	VB
20165	1445	22	the	the	DT
20165	1445	23	centre	centre	NN
20165	1445	24	of	of	IN
20165	1445	25	the	the	DT
20165	1445	26	circle	circle	NN
20165	1445	27	on	on	IN
20165	1445	28	which	which	WDT
20165	1445	29	to	to	TO
20165	1445	30	raise	raise	VB
20165	1445	31	the	the	DT
20165	1445	32	column	column	NN
20165	1445	33	.	.	.
20165	1446	1	The	the	DT
20165	1446	2	question	question	NN
20165	1446	3	is	be	VBZ
20165	1446	4	how	how	WRB
20165	1446	5	to	to	TO
20165	1446	6	make	make	VB
20165	1446	7	each	each	DT
20165	1446	8	one	one	NN
20165	1446	9	the	the	DT
20165	1446	10	right	right	JJ
20165	1446	11	width	width	NN
20165	1446	12	in	in	IN
20165	1446	13	accordance	accordance	NN
20165	1446	14	with	with	IN
20165	1446	15	its	-PRON-	PRP$
20165	1446	16	position	position	NN
20165	1446	17	,	,	,
20165	1446	18	for	for	IN
20165	1446	19	it	-PRON-	PRP
20165	1446	20	is	be	VBZ
20165	1446	21	evident	evident	JJ
20165	1446	22	that	that	IN
20165	1446	23	a	a	DT
20165	1446	24	near	near	JJ
20165	1446	25	column	column	NN
20165	1446	26	must	must	MD
20165	1446	27	appear	appear	VB
20165	1446	28	wider	wide	JJR
20165	1446	29	than	than	IN
20165	1446	30	the	the	DT
20165	1446	31	opposite	opposite	JJ
20165	1446	32	one	one	CD
20165	1446	33	.	.	.
20165	1447	1	On	on	IN
20165	1447	2	the	the	DT
20165	1447	3	right	right	NN
20165	1447	4	of	of	IN
20165	1447	5	the	the	DT
20165	1447	6	figure	figure	NN
20165	1447	7	is	be	VBZ
20165	1447	8	the	the	DT
20165	1447	9	vertical	vertical	JJ
20165	1447	10	scale	scale	NN
20165	1447	11	_	_	NNP
20165	1447	12	A	A	NNP
20165	1447	13	_	_	NNP
20165	1447	14	,	,	,
20165	1447	15	which	which	WDT
20165	1447	16	gives	give	VBZ
20165	1447	17	the	the	DT
20165	1447	18	heights	height	NNS
20165	1447	19	of	of	IN
20165	1447	20	the	the	DT
20165	1447	21	columns	column	NNS
20165	1447	22	,	,	,
20165	1447	23	and	and	CC
20165	1447	24	at	at	IN
20165	1447	25	its	-PRON-	PRP$
20165	1447	26	foot	foot	NN
20165	1447	27	is	be	VBZ
20165	1447	28	a	a	DT
20165	1447	29	horizontal	horizontal	JJ
20165	1447	30	scale	scale	NN
20165	1447	31	,	,	,
20165	1447	32	or	or	CC
20165	1447	33	a	a	DT
20165	1447	34	scale	scale	NN
20165	1447	35	of	of	IN
20165	1447	36	widths	width	NNS
20165	1447	37	_	_	NNP
20165	1447	38	B	B	NNP
20165	1447	39	_	_	NNP
20165	1447	40	.	.	.
20165	1448	1	Now	now	RB
20165	1448	2	,	,	,
20165	1448	3	according	accord	VBG
20165	1448	4	to	to	IN
20165	1448	5	the	the	DT
20165	1448	6	line	line	NN
20165	1448	7	on	on	IN
20165	1448	8	which	which	WDT
20165	1448	9	the	the	DT
20165	1448	10	column	column	NN
20165	1448	11	stands	stand	VBZ
20165	1448	12	,	,	,
20165	1448	13	we	-PRON-	PRP
20165	1448	14	find	find	VBP
20165	1448	15	its	-PRON-	PRP$
20165	1448	16	apparent	apparent	JJ
20165	1448	17	width	width	NN
20165	1448	18	marked	mark	VBN
20165	1448	19	on	on	IN
20165	1448	20	the	the	DT
20165	1448	21	scale	scale	NN
20165	1448	22	.	.	.
20165	1449	1	Thus	thus	RB
20165	1449	2	take	take	VB
20165	1449	3	the	the	DT
20165	1449	4	small	small	JJ
20165	1449	5	square	square	NN
20165	1449	6	and	and	CC
20165	1449	7	circle	circle	NN
20165	1449	8	at	at	IN
20165	1449	9	15	15	CD
20165	1449	10	,	,	,
20165	1449	11	without	without	IN
20165	1449	12	its	-PRON-	PRP$
20165	1449	13	column	column	NN
20165	1449	14	,	,	,
20165	1449	15	or	or	CC
20165	1449	16	the	the	DT
20165	1449	17	broken	broken	JJ
20165	1449	18	column	column	NN
20165	1449	19	at	at	IN
20165	1449	20	16	16	CD
20165	1449	21	;	;	:
20165	1449	22	and	and	CC
20165	1449	23	note	note	VB
20165	1449	24	that	that	IN
20165	1449	25	on	on	IN
20165	1449	26	each	each	DT
20165	1449	27	side	side	NN
20165	1449	28	of	of	IN
20165	1449	29	its	-PRON-	PRP$
20165	1449	30	centre	centre	NN
20165	1449	31	_	_	NNP
20165	1449	32	O	O	NNP
20165	1449	33	_	_	NNP
20165	1449	34	I	-PRON-	PRP
20165	1449	35	have	have	VBP
20165	1449	36	measured	measure	VBN
20165	1449	37	_	_	NNP
20165	1449	38	oa	oa	NNP
20165	1449	39	_	_	NNP
20165	1449	40	,	,	,
20165	1449	41	_	_	NNP
20165	1449	42	ob	ob	NNP
20165	1449	43	_	_	NNP
20165	1449	44	,	,	,
20165	1449	45	equal	equal	JJ
20165	1449	46	to	to	IN
20165	1449	47	spaces	space	NNS
20165	1449	48	marked	mark	VBD
20165	1449	49	3	3	CD
20165	1449	50	on	on	IN
20165	1449	51	the	the	DT
20165	1449	52	same	same	JJ
20165	1449	53	horizontal	horizontal	NN
20165	1449	54	in	in	IN
20165	1449	55	the	the	DT
20165	1449	56	scale	scale	NN
20165	1449	57	_	_	NNP
20165	1449	58	B	B	NNP
20165	1449	59	_	_	NNP
20165	1449	60	.	.	.
20165	1450	1	Through	through	IN
20165	1450	2	these	these	DT
20165	1450	3	points	point	NNS
20165	1450	4	_	_	NNP
20165	1450	5	a	a	DT
20165	1450	6	_	_	NNP
20165	1450	7	and	and	CC
20165	1450	8	_	_	NNP
20165	1450	9	b	b	NNP
20165	1450	10	_	_	NNP
20165	1450	11	I	-PRON-	PRP
20165	1450	12	have	have	VBP
20165	1450	13	drawn	draw	VBN
20165	1450	14	lines	line	NNS
20165	1450	15	towards	towards	IN
20165	1450	16	point	point	NN
20165	1450	17	of	of	IN
20165	1450	18	sight	sight	NN
20165	1450	19	_	_	NNP
20165	1450	20	S	S	NNP
20165	1450	21	_	_	NNP
20165	1450	22	.	.	.
20165	1451	1	Through	through	IN
20165	1451	2	their	-PRON-	PRP$
20165	1451	3	intersections	intersection	NNS
20165	1451	4	with	with	IN
20165	1451	5	diagonal	diagonal	JJ
20165	1451	6	_	_	NNP
20165	1451	7	e	e	NNP
20165	1451	8	_	_	NNP
20165	1451	9	,	,	,
20165	1451	10	which	which	WDT
20165	1451	11	is	be	VBZ
20165	1451	12	directed	direct	VBN
20165	1451	13	to	to	TO
20165	1451	14	point	point	NN
20165	1451	15	of	of	IN
20165	1451	16	distance	distance	NN
20165	1451	17	,	,	,
20165	1451	18	draw	draw	VB
20165	1451	19	the	the	DT
20165	1451	20	farther	farth	JJR
20165	1451	21	and	and	CC
20165	1451	22	nearer	near	JJR
20165	1451	23	sides	side	NNS
20165	1451	24	of	of	IN
20165	1451	25	the	the	DT
20165	1451	26	square	square	NN
20165	1451	27	in	in	IN
20165	1451	28	which	which	WDT
20165	1451	29	to	to	TO
20165	1451	30	describe	describe	VB
20165	1451	31	the	the	DT
20165	1451	32	circle	circle	NN
20165	1451	33	and	and	CC
20165	1451	34	the	the	DT
20165	1451	35	cylinder	cylinder	NN
20165	1451	36	or	or	CC
20165	1451	37	column	column	NN
20165	1451	38	thereon	thereon	NN
20165	1451	39	.	.	.
20165	1452	1	I	-PRON-	PRP
20165	1452	2	have	have	VBP
20165	1452	3	made	make	VBN
20165	1452	4	all	all	PDT
20165	1452	5	the	the	DT
20165	1452	6	squares	square	NNS
20165	1452	7	thus	thus	RB
20165	1452	8	obtained	obtain	VBN
20165	1452	9	in	in	IN
20165	1452	10	parallel	parallel	JJ
20165	1452	11	perspective	perspective	NN
20165	1452	12	,	,	,
20165	1452	13	but	but	CC
20165	1452	14	they	-PRON-	PRP
20165	1452	15	do	do	VBP
20165	1452	16	not	not	RB
20165	1452	17	represent	represent	VB
20165	1452	18	the	the	DT
20165	1452	19	bases	basis	NNS
20165	1452	20	of	of	IN
20165	1452	21	columns	column	NNS
20165	1452	22	arranged	arrange	VBN
20165	1452	23	in	in	IN
20165	1452	24	circles	circle	NNS
20165	1452	25	,	,	,
20165	1452	26	which	which	WDT
20165	1452	27	should	should	MD
20165	1452	28	converge	converge	VB
20165	1452	29	towards	towards	IN
20165	1452	30	the	the	DT
20165	1452	31	centre	centre	NN
20165	1452	32	,	,	,
20165	1452	33	and	and	CC
20165	1452	34	I	-PRON-	PRP
20165	1452	35	believe	believe	VBP
20165	1452	36	in	in	IN
20165	1452	37	some	some	DT
20165	1452	38	cases	case	NNS
20165	1452	39	are	be	VBP
20165	1452	40	modified	modify	VBN
20165	1452	41	in	in	IN
20165	1452	42	form	form	NN
20165	1452	43	to	to	TO
20165	1452	44	suit	suit	VB
20165	1452	45	that	that	DT
20165	1452	46	design	design	NN
20165	1452	47	.	.	.
20165	1453	1	CVII	CVII	NNP
20165	1453	2	COLUMNS	COLUMNS	NNP
20165	1453	3	AND	and	CC
20165	1453	4	CAPITALS	CAPITALS	NNP
20165	1453	5	This	this	DT
20165	1453	6	figure	figure	NN
20165	1453	7	shows	show	VBZ
20165	1453	8	the	the	DT
20165	1453	9	application	application	NN
20165	1453	10	of	of	IN
20165	1453	11	the	the	DT
20165	1453	12	square	square	JJ
20165	1453	13	and	and	CC
20165	1453	14	diagonal	diagonal	JJ
20165	1453	15	in	in	IN
20165	1453	16	drawing	draw	VBG
20165	1453	17	and	and	CC
20165	1453	18	placing	place	VBG
20165	1453	19	columns	column	NNS
20165	1453	20	in	in	IN
20165	1453	21	angular	angular	JJ
20165	1453	22	perspective	perspective	NN
20165	1453	23	.	.	.
20165	1454	1	[	[	-LRB-
20165	1454	2	Illustration	illustration	NN
20165	1454	3	:	:	:
20165	1454	4	Fig	Fig	NNP
20165	1454	5	.	.	.
20165	1455	1	196	196	CD
20165	1455	2	.	.	.
20165	1455	3	]	]	-RRB-
20165	1456	1	CVIII	CVIII	NNP
20165	1456	2	METHOD	METHOD	NNP
20165	1456	3	OF	of	IN
20165	1456	4	PERSPECTIVE	PERSPECTIVE	NNP
20165	1456	5	EMPLOYED	EMPLOYED	NNP
20165	1456	6	BY	by	IN
20165	1456	7	ARCHITECTS	ARCHITECTS	NNP
20165	1456	8	The	the	DT
20165	1456	9	architects	architect	NNS
20165	1456	10	first	first	RB
20165	1456	11	draw	draw	VBP
20165	1456	12	a	a	DT
20165	1456	13	plan	plan	NN
20165	1456	14	and	and	CC
20165	1456	15	elevation	elevation	NN
20165	1456	16	of	of	IN
20165	1456	17	the	the	DT
20165	1456	18	building	building	NN
20165	1456	19	to	to	TO
20165	1456	20	be	be	VB
20165	1456	21	put	put	VBN
20165	1456	22	into	into	IN
20165	1456	23	perspective	perspective	NN
20165	1456	24	.	.	.
20165	1457	1	Having	have	VBG
20165	1457	2	placed	place	VBN
20165	1457	3	the	the	DT
20165	1457	4	plan	plan	NN
20165	1457	5	at	at	IN
20165	1457	6	the	the	DT
20165	1457	7	required	require	VBN
20165	1457	8	angle	angle	NN
20165	1457	9	to	to	IN
20165	1457	10	the	the	DT
20165	1457	11	picture	picture	NN
20165	1457	12	plane	plane	NN
20165	1457	13	,	,	,
20165	1457	14	they	-PRON-	PRP
20165	1457	15	fix	fix	VBP
20165	1457	16	upon	upon	IN
20165	1457	17	the	the	DT
20165	1457	18	point	point	NN
20165	1457	19	of	of	IN
20165	1457	20	sight	sight	NN
20165	1457	21	,	,	,
20165	1457	22	and	and	CC
20165	1457	23	the	the	DT
20165	1457	24	distance	distance	NN
20165	1457	25	from	from	IN
20165	1457	26	which	which	WDT
20165	1457	27	the	the	DT
20165	1457	28	drawing	drawing	NN
20165	1457	29	is	be	VBZ
20165	1457	30	to	to	TO
20165	1457	31	be	be	VB
20165	1457	32	viewed	view	VBN
20165	1457	33	.	.	.
20165	1458	1	They	-PRON-	PRP
20165	1458	2	then	then	RB
20165	1458	3	draw	draw	VBP
20165	1458	4	a	a	DT
20165	1458	5	line	line	NN
20165	1458	6	_	_	NNP
20165	1458	7	SP	SP	NNP
20165	1458	8	_	_	NNP
20165	1458	9	at	at	IN
20165	1458	10	right	right	JJ
20165	1458	11	angles	angle	NNS
20165	1458	12	to	to	IN
20165	1458	13	the	the	DT
20165	1458	14	picture	picture	NN
20165	1458	15	plane	plane	NN
20165	1458	16	_	_	NNP
20165	1458	17	VV	VV	NNP
20165	1458	18	·	·	NFP
20165	1458	19	_	_	NNP
20165	1458	20	,	,	,
20165	1458	21	which	which	WDT
20165	1458	22	represents	represent	VBZ
20165	1458	23	that	that	DT
20165	1458	24	distance	distance	NN
20165	1458	25	so	so	IN
20165	1458	26	that	that	IN
20165	1458	27	_	_	NNP
20165	1458	28	P	P	NNP
20165	1458	29	_	_	NNP
20165	1458	30	is	be	VBZ
20165	1458	31	the	the	DT
20165	1458	32	station	station	NN
20165	1458	33	-	-	HYPH
20165	1458	34	point	point	NN
20165	1458	35	.	.	.
20165	1459	1	The	the	DT
20165	1459	2	eye	eye	NN
20165	1459	3	is	be	VBZ
20165	1459	4	generally	generally	RB
20165	1459	5	considered	consider	VBN
20165	1459	6	to	to	TO
20165	1459	7	be	be	VB
20165	1459	8	the	the	DT
20165	1459	9	station	station	NN
20165	1459	10	-	-	HYPH
20165	1459	11	point	point	NN
20165	1459	12	,	,	,
20165	1459	13	but	but	CC
20165	1459	14	when	when	WRB
20165	1459	15	lines	line	NNS
20165	1459	16	are	be	VBP
20165	1459	17	drawn	draw	VBN
20165	1459	18	to	to	IN
20165	1459	19	that	that	DT
20165	1459	20	point	point	NN
20165	1459	21	from	from	IN
20165	1459	22	the	the	DT
20165	1459	23	ground	ground	NN
20165	1459	24	-	-	HYPH
20165	1459	25	plan	plan	NN
20165	1459	26	,	,	,
20165	1459	27	the	the	DT
20165	1459	28	station	station	NN
20165	1459	29	-	-	HYPH
20165	1459	30	point	point	NN
20165	1459	31	is	be	VBZ
20165	1459	32	placed	place	VBN
20165	1459	33	on	on	IN
20165	1459	34	the	the	DT
20165	1459	35	ground	ground	NN
20165	1459	36	,	,	,
20165	1459	37	and	and	CC
20165	1459	38	is	be	VBZ
20165	1459	39	in	in	IN
20165	1459	40	fact	fact	NN
20165	1459	41	the	the	DT
20165	1459	42	trace	trace	NN
20165	1459	43	or	or	CC
20165	1459	44	projection	projection	NN
20165	1459	45	exactly	exactly	RB
20165	1459	46	under	under	IN
20165	1459	47	the	the	DT
20165	1459	48	point	point	NN
20165	1459	49	at	at	IN
20165	1459	50	which	which	WDT
20165	1459	51	the	the	DT
20165	1459	52	eye	eye	NN
20165	1459	53	is	be	VBZ
20165	1459	54	placed	place	VBN
20165	1459	55	.	.	.
20165	1460	1	From	from	IN
20165	1460	2	this	this	DT
20165	1460	3	station	station	NN
20165	1460	4	-	-	HYPH
20165	1460	5	point	point	NN
20165	1460	6	_	_	NNP
20165	1460	7	P	P	NNP
20165	1460	8	_	_	NNP
20165	1460	9	,	,	,
20165	1460	10	draw	draw	VB
20165	1460	11	lines	line	NNS
20165	1460	12	_	_	NNP
20165	1460	13	PV	PV	NNP
20165	1460	14	_	_	NNP
20165	1460	15	and	and	CC
20165	1460	16	_	_	NNP
20165	1460	17	PV	PV	NNP
20165	1460	18	·	·	NFP
20165	1460	19	_	_	NNP
20165	1460	20	parallel	parallel	NN
20165	1460	21	to	to	IN
20165	1460	22	the	the	DT
20165	1460	23	two	two	CD
20165	1460	24	sides	side	NNS
20165	1460	25	of	of	IN
20165	1460	26	the	the	DT
20165	1460	27	plan	plan	NN
20165	1460	28	_	_	NNP
20165	1460	29	ba	ba	NNP
20165	1460	30	_	_	NNP
20165	1460	31	and	and	CC
20165	1460	32	_	_	NNP
20165	1460	33	ad	ad	NN
20165	1460	34	_	_	NNP
20165	1460	35	(	(	-LRB-
20165	1460	36	which	which	WDT
20165	1460	37	will	will	MD
20165	1460	38	be	be	VB
20165	1460	39	at	at	IN
20165	1460	40	right	right	JJ
20165	1460	41	angles	angle	NNS
20165	1460	42	to	to	IN
20165	1460	43	each	each	DT
20165	1460	44	other	other	JJ
20165	1460	45	)	)	-RRB-
20165	1460	46	,	,	,
20165	1460	47	and	and	CC
20165	1460	48	produce	produce	VB
20165	1460	49	them	-PRON-	PRP
20165	1460	50	to	to	IN
20165	1460	51	the	the	DT
20165	1460	52	horizon	horizon	NN
20165	1460	53	,	,	,
20165	1460	54	which	which	WDT
20165	1460	55	they	-PRON-	PRP
20165	1460	56	will	will	MD
20165	1460	57	touch	touch	VB
20165	1460	58	at	at	IN
20165	1460	59	points	point	NNS
20165	1460	60	_	_	NNP
20165	1460	61	V	V	NNP
20165	1460	62	_	_	NNP
20165	1460	63	and	and	CC
20165	1460	64	_	_	NNP
20165	1460	65	V	V	NNP
20165	1460	66	·	·	NFP
20165	1460	67	_	_	XX
20165	1460	68	.	.	.
20165	1461	1	These	these	DT
20165	1461	2	points	point	NNS
20165	1461	3	thus	thus	RB
20165	1461	4	obtained	obtain	VBN
20165	1461	5	will	will	MD
20165	1461	6	be	be	VB
20165	1461	7	the	the	DT
20165	1461	8	two	two	CD
20165	1461	9	vanishing	vanish	VBG
20165	1461	10	points	point	NNS
20165	1461	11	.	.	.
20165	1462	1	[	[	-LRB-
20165	1462	2	Illustration	illustration	NN
20165	1462	3	:	:	:
20165	1462	4	Fig	Fig	NNP
20165	1462	5	.	.	.
20165	1463	1	197	197	CD
20165	1463	2	.	.	.
20165	1464	1	A	a	DT
20165	1464	2	method	method	NN
20165	1464	3	of	of	IN
20165	1464	4	angular	angular	JJ
20165	1464	5	Perspective	Perspective	NNP
20165	1464	6	employed	employ	VBN
20165	1464	7	by	by	IN
20165	1464	8	architects	architect	NNS
20165	1464	9	.	.	.
20165	1465	1	[	[	-LRB-
20165	1465	2	_	_	NNP
20165	1465	3	To	to	TO
20165	1465	4	face	face	VB
20165	1465	5	p.	p.	NN
20165	1465	6	171	171	CD
20165	1465	7	_	_	NNP
20165	1465	8	]	]	-RRB-
20165	1465	9	]	]	-RRB-
20165	1465	10	The	the	DT
20165	1465	11	next	next	JJ
20165	1465	12	operation	operation	NN
20165	1465	13	is	be	VBZ
20165	1465	14	to	to	TO
20165	1465	15	draw	draw	VB
20165	1465	16	lines	line	NNS
20165	1465	17	from	from	IN
20165	1465	18	the	the	DT
20165	1465	19	principal	principal	JJ
20165	1465	20	points	point	NNS
20165	1465	21	of	of	IN
20165	1465	22	the	the	DT
20165	1465	23	plan	plan	NN
20165	1465	24	to	to	IN
20165	1465	25	the	the	DT
20165	1465	26	station	station	NN
20165	1465	27	-	-	HYPH
20165	1465	28	point	point	NN
20165	1465	29	_	_	NNP
20165	1465	30	P	P	NNP
20165	1465	31	_	_	NNP
20165	1465	32	,	,	,
20165	1465	33	such	such	JJ
20165	1465	34	as	as	IN
20165	1465	35	_	_	NNP
20165	1465	36	bP	bP	NNP
20165	1465	37	_	_	NNP
20165	1465	38	,	,	,
20165	1465	39	_	_	NNP
20165	1465	40	cP	cP	NNP
20165	1465	41	_	_	NNP
20165	1465	42	,	,	,
20165	1465	43	_	_	NNP
20165	1465	44	dP	dP	NNP
20165	1465	45	_	_	NNP
20165	1465	46	,	,	,
20165	1465	47	&	&	CC
20165	1465	48	c.	c.	NNP
20165	1465	49	,	,	,
20165	1465	50	and	and	CC
20165	1465	51	where	where	WRB
20165	1465	52	these	these	DT
20165	1465	53	lines	line	NNS
20165	1465	54	intersect	intersect	VBP
20165	1465	55	the	the	DT
20165	1465	56	picture	picture	NN
20165	1465	57	plane	plane	NN
20165	1465	58	(	(	-LRB-
20165	1465	59	_	_	NNP
20165	1465	60	VV	VV	NNP
20165	1465	61	·	·	NFP
20165	1465	62	_	_	NNP
20165	1465	63	here	here	RB
20165	1465	64	represents	represent	VBZ
20165	1465	65	it	-PRON-	PRP
20165	1465	66	as	as	RB
20165	1465	67	well	well	RB
20165	1465	68	as	as	IN
20165	1465	69	the	the	DT
20165	1465	70	horizon	horizon	NN
20165	1465	71	)	)	-RRB-
20165	1465	72	,	,	,
20165	1465	73	drop	drop	VB
20165	1465	74	perpendiculars	perpendicular	NNS
20165	1465	75	_	_	NNP
20165	1465	76	b·B	b·B	NNP
20165	1465	77	_	_	NNP
20165	1465	78	,	,	,
20165	1465	79	_	_	NNP
20165	1465	80	aA	aA	NNP
20165	1465	81	_	_	NNP
20165	1465	82	,	,	,
20165	1465	83	_	_	NNP
20165	1465	84	d·D	d·D	NNP
20165	1465	85	_	_	NNP
20165	1465	86	,	,	,
20165	1465	87	&	&	CC
20165	1465	88	c.	c.	NNP
20165	1465	89	,	,	,
20165	1465	90	to	to	TO
20165	1465	91	meet	meet	VB
20165	1465	92	the	the	DT
20165	1465	93	vanishing	vanish	VBG
20165	1465	94	lines	line	NNS
20165	1465	95	_	_	NNP
20165	1465	96	AV	AV	NNP
20165	1465	97	_	_	NNP
20165	1465	98	,	,	,
20165	1465	99	_	_	NNP
20165	1465	100	AV	AV	NNP
20165	1465	101	·	·	.
20165	1465	102	_	_	NNP
20165	1465	103	,	,	,
20165	1465	104	which	which	WDT
20165	1465	105	will	will	MD
20165	1465	106	determine	determine	VB
20165	1465	107	the	the	DT
20165	1465	108	points	point	NNS
20165	1465	109	_	_	NNP
20165	1465	110	A	A	NNP
20165	1465	111	_	_	NNP
20165	1465	112	,	,	,
20165	1465	113	_	_	NNP
20165	1465	114	B	B	NNP
20165	1465	115	_	_	NNP
20165	1465	116	,	,	,
20165	1465	117	_	_	NNP
20165	1465	118	C	C	NNP
20165	1465	119	_	_	NNP
20165	1465	120	,	,	,
20165	1465	121	_	_	NNP
20165	1465	122	D	D	NNP
20165	1465	123	_	_	NNP
20165	1465	124	,	,	,
20165	1465	125	1	1	CD
20165	1465	126	,	,	,
20165	1465	127	2	2	CD
20165	1465	128	,	,	,
20165	1465	129	3	3	CD
20165	1465	130	,	,	,
20165	1465	131	&	&	CC
20165	1465	132	c.	c.	NNP
20165	1465	133	,	,	,
20165	1465	134	and	and	CC
20165	1465	135	also	also	RB
20165	1465	136	the	the	DT
20165	1465	137	perspective	perspective	JJ
20165	1465	138	lengths	length	NNS
20165	1465	139	of	of	IN
20165	1465	140	the	the	DT
20165	1465	141	sides	side	NNS
20165	1465	142	of	of	IN
20165	1465	143	the	the	DT
20165	1465	144	figure	figure	NN
20165	1465	145	_	_	NNP
20165	1465	146	AB	AB	NNP
20165	1465	147	_	_	NNP
20165	1465	148	,	,	,
20165	1465	149	_	_	NNP
20165	1465	150	AD	AD	NNP
20165	1465	151	_	_	NNP
20165	1465	152	,	,	,
20165	1465	153	and	and	CC
20165	1465	154	the	the	DT
20165	1465	155	divisions	division	NNS
20165	1465	156	_	_	NNP
20165	1465	157	B	B	NNP
20165	1465	158	_	_	NNP
20165	1465	159	,	,	,
20165	1465	160	1	1	CD
20165	1465	161	,	,	,
20165	1465	162	2	2	CD
20165	1465	163	,	,	,
20165	1465	164	&	&	CC
20165	1465	165	c.	c.	NNP
20165	1465	166	Taking	take	VBG
20165	1465	167	the	the	DT
20165	1465	168	height	height	NN
20165	1465	169	of	of	IN
20165	1465	170	the	the	DT
20165	1465	171	figure	figure	NN
20165	1465	172	_	_	NNP
20165	1465	173	AE	AE	NNP
20165	1465	174	_	_	NNP
20165	1465	175	from	from	IN
20165	1465	176	the	the	DT
20165	1465	177	elevation	elevation	NN
20165	1465	178	,	,	,
20165	1465	179	we	-PRON-	PRP
20165	1465	180	measure	measure	VBP
20165	1465	181	it	-PRON-	PRP
20165	1465	182	on	on	IN
20165	1465	183	_	_	NNP
20165	1465	184	Aa	Aa	NNP
20165	1465	185	_	_	NNP
20165	1465	186	;	;	:
20165	1465	187	as	as	IN
20165	1465	188	in	in	IN
20165	1465	189	this	this	DT
20165	1465	190	instance	instance	NN
20165	1465	191	_	_	NNP
20165	1465	192	A	A	NNP
20165	1465	193	_	_	NNP
20165	1465	194	touches	touch	VBZ
20165	1465	195	the	the	DT
20165	1465	196	ground	ground	NN
20165	1465	197	line	line	NN
20165	1465	198	,	,	,
20165	1465	199	it	-PRON-	PRP
20165	1465	200	may	may	MD
20165	1465	201	be	be	VB
20165	1465	202	used	use	VBN
20165	1465	203	as	as	IN
20165	1465	204	a	a	DT
20165	1465	205	line	line	NN
20165	1465	206	of	of	IN
20165	1465	207	heights	height	NNS
20165	1465	208	.	.	.
20165	1466	1	I	-PRON-	PRP
20165	1466	2	have	have	VBP
20165	1466	3	here	here	RB
20165	1466	4	placed	place	VBN
20165	1466	5	the	the	DT
20165	1466	6	perspective	perspective	NN
20165	1466	7	drawing	drawing	NN
20165	1466	8	under	under	IN
20165	1466	9	the	the	DT
20165	1466	10	ground	ground	NN
20165	1466	11	plan	plan	NN
20165	1466	12	to	to	TO
20165	1466	13	show	show	VB
20165	1466	14	the	the	DT
20165	1466	15	relation	relation	NN
20165	1466	16	between	between	IN
20165	1466	17	the	the	DT
20165	1466	18	two	two	CD
20165	1466	19	,	,	,
20165	1466	20	and	and	CC
20165	1466	21	how	how	WRB
20165	1466	22	the	the	DT
20165	1466	23	perspective	perspective	NN
20165	1466	24	is	be	VBZ
20165	1466	25	worked	work	VBN
20165	1466	26	out	out	RP
20165	1466	27	,	,	,
20165	1466	28	but	but	CC
20165	1466	29	the	the	DT
20165	1466	30	general	general	JJ
20165	1466	31	practice	practice	NN
20165	1466	32	is	be	VBZ
20165	1466	33	to	to	TO
20165	1466	34	find	find	VB
20165	1466	35	the	the	DT
20165	1466	36	required	require	VBN
20165	1466	37	measurements	measurement	NNS
20165	1466	38	as	as	IN
20165	1466	39	here	here	RB
20165	1466	40	shown	show	VBN
20165	1466	41	,	,	,
20165	1466	42	to	to	TO
20165	1466	43	mark	mark	VB
20165	1466	44	them	-PRON-	PRP
20165	1466	45	on	on	IN
20165	1466	46	a	a	DT
20165	1466	47	straight	straight	JJ
20165	1466	48	edge	edge	NN
20165	1466	49	of	of	IN
20165	1466	50	card	card	NN
20165	1466	51	or	or	CC
20165	1466	52	paper	paper	NN
20165	1466	53	,	,	,
20165	1466	54	and	and	CC
20165	1466	55	transfer	transfer	VB
20165	1466	56	them	-PRON-	PRP
20165	1466	57	to	to	IN
20165	1466	58	the	the	DT
20165	1466	59	paper	paper	NN
20165	1466	60	on	on	IN
20165	1466	61	which	which	WDT
20165	1466	62	the	the	DT
20165	1466	63	drawing	drawing	NN
20165	1466	64	is	be	VBZ
20165	1466	65	to	to	TO
20165	1466	66	be	be	VB
20165	1466	67	made	make	VBN
20165	1466	68	.	.	.
20165	1467	1	This	this	DT
20165	1467	2	of	of	IN
20165	1467	3	course	course	NN
20165	1467	4	is	be	VBZ
20165	1467	5	the	the	DT
20165	1467	6	simplest	simple	JJS
20165	1467	7	form	form	NN
20165	1467	8	of	of	IN
20165	1467	9	a	a	DT
20165	1467	10	plan	plan	NN
20165	1467	11	and	and	CC
20165	1467	12	elevation	elevation	NN
20165	1467	13	.	.	.
20165	1468	1	It	-PRON-	PRP
20165	1468	2	is	be	VBZ
20165	1468	3	easy	easy	JJ
20165	1468	4	to	to	TO
20165	1468	5	see	see	VB
20165	1468	6	,	,	,
20165	1468	7	however	however	RB
20165	1468	8	,	,	,
20165	1468	9	that	that	IN
20165	1468	10	we	-PRON-	PRP
20165	1468	11	could	could	MD
20165	1468	12	set	set	VB
20165	1468	13	out	out	RP
20165	1468	14	an	an	DT
20165	1468	15	elaborate	elaborate	JJ
20165	1468	16	building	building	NN
20165	1468	17	in	in	IN
20165	1468	18	the	the	DT
20165	1468	19	same	same	JJ
20165	1468	20	way	way	NN
20165	1468	21	as	as	IN
20165	1468	22	this	this	DT
20165	1468	23	figure	figure	NN
20165	1468	24	,	,	,
20165	1468	25	but	but	CC
20165	1468	26	in	in	IN
20165	1468	27	that	that	DT
20165	1468	28	case	case	NN
20165	1468	29	we	-PRON-	PRP
20165	1468	30	should	should	MD
20165	1468	31	not	not	RB
20165	1468	32	place	place	VB
20165	1468	33	the	the	DT
20165	1468	34	drawing	drawing	NN
20165	1468	35	underneath	underneath	IN
20165	1468	36	the	the	DT
20165	1468	37	ground	ground	NN
20165	1468	38	-	-	HYPH
20165	1468	39	plan	plan	NN
20165	1468	40	,	,	,
20165	1468	41	but	but	CC
20165	1468	42	transfer	transfer	VB
20165	1468	43	the	the	DT
20165	1468	44	measurements	measurement	NNS
20165	1468	45	to	to	IN
20165	1468	46	another	another	DT
20165	1468	47	sheet	sheet	NN
20165	1468	48	of	of	IN
20165	1468	49	paper	paper	NN
20165	1468	50	as	as	IN
20165	1468	51	mentioned	mention	VBN
20165	1468	52	above	above	RB
20165	1468	53	.	.	.
20165	1469	1	CIX	CIX	NNP
20165	1469	2	THE	the	DT
20165	1469	3	OCTAGON	OCTAGON	NNP
20165	1469	4	To	to	TO
20165	1469	5	draw	draw	VB
20165	1469	6	the	the	DT
20165	1469	7	geometrical	geometrical	JJ
20165	1469	8	figure	figure	NN
20165	1469	9	of	of	IN
20165	1469	10	an	an	DT
20165	1469	11	octagon	octagon	NN
20165	1469	12	contained	contain	VBN
20165	1469	13	in	in	IN
20165	1469	14	a	a	DT
20165	1469	15	square	square	NN
20165	1469	16	,	,	,
20165	1469	17	take	take	VB
20165	1469	18	half	half	NN
20165	1469	19	of	of	IN
20165	1469	20	the	the	DT
20165	1469	21	diagonal	diagonal	JJ
20165	1469	22	of	of	IN
20165	1469	23	that	that	DT
20165	1469	24	square	square	NN
20165	1469	25	as	as	IN
20165	1469	26	radius	radius	NN
20165	1469	27	,	,	,
20165	1469	28	and	and	CC
20165	1469	29	from	from	IN
20165	1469	30	each	each	DT
20165	1469	31	corner	corner	NN
20165	1469	32	describe	describe	VBP
20165	1469	33	a	a	DT
20165	1469	34	quarter	quarter	NN
20165	1469	35	circle	circle	NN
20165	1469	36	.	.	.
20165	1470	1	At	at	IN
20165	1470	2	the	the	DT
20165	1470	3	eight	eight	CD
20165	1470	4	points	point	NNS
20165	1470	5	where	where	WRB
20165	1470	6	they	-PRON-	PRP
20165	1470	7	touch	touch	VBP
20165	1470	8	the	the	DT
20165	1470	9	sides	side	NNS
20165	1470	10	of	of	IN
20165	1470	11	the	the	DT
20165	1470	12	square	square	NN
20165	1470	13	,	,	,
20165	1470	14	draw	draw	VB
20165	1470	15	the	the	DT
20165	1470	16	eight	eight	CD
20165	1470	17	sides	side	NNS
20165	1470	18	of	of	IN
20165	1470	19	the	the	DT
20165	1470	20	octagon	octagon	NN
20165	1470	21	.	.	.
20165	1471	1	[	[	-LRB-
20165	1471	2	Illustration	illustration	NN
20165	1471	3	:	:	:
20165	1471	4	Fig	Fig	NNP
20165	1471	5	.	.	.
20165	1472	1	198	198	CD
20165	1472	2	.	.	.
20165	1472	3	]	]	-RRB-
20165	1473	1	[	[	-LRB-
20165	1473	2	Illustration	illustration	NN
20165	1473	3	:	:	:
20165	1473	4	Fig	Fig	NNP
20165	1473	5	.	.	.
20165	1474	1	199	199	CD
20165	1474	2	.	.	.
20165	1474	3	]	]	-RRB-
20165	1475	1	To	to	TO
20165	1475	2	put	put	VB
20165	1475	3	this	this	DT
20165	1475	4	into	into	IN
20165	1475	5	perspective	perspective	NN
20165	1475	6	take	take	VB
20165	1475	7	the	the	DT
20165	1475	8	base	base	NN
20165	1475	9	of	of	IN
20165	1475	10	the	the	DT
20165	1475	11	square	square	NN
20165	1475	12	_	_	NNP
20165	1475	13	AB	AB	NNP
20165	1475	14	_	_	NNP
20165	1475	15	and	and	CC
20165	1475	16	thereon	thereon	NN
20165	1475	17	form	form	NN
20165	1475	18	the	the	DT
20165	1475	19	perspective	perspective	NN
20165	1475	20	square	square	NN
20165	1475	21	_	_	NNP
20165	1475	22	ABCD	ABCD	NNP
20165	1475	23	_	_	NNP
20165	1475	24	.	.	.
20165	1476	1	From	from	IN
20165	1476	2	either	either	DT
20165	1476	3	extremity	extremity	NN
20165	1476	4	of	of	IN
20165	1476	5	that	that	DT
20165	1476	6	base	base	NN
20165	1476	7	(	(	-LRB-
20165	1476	8	say	say	VB
20165	1476	9	_	_	NNP
20165	1476	10	B	B	NNP
20165	1476	11	_	_	NNP
20165	1476	12	)	)	-RRB-
20165	1476	13	drop	drop	NN
20165	1476	14	perpendicular	perpendicular	JJ
20165	1476	15	_	_	NNP
20165	1476	16	BF	BF	NNP
20165	1476	17	_	_	NNP
20165	1476	18	,	,	,
20165	1476	19	draw	draw	VB
20165	1476	20	diagonal	diagonal	JJ
20165	1476	21	_	_	NNP
20165	1476	22	AF	AF	NNP
20165	1476	23	_	_	NNP
20165	1476	24	,	,	,
20165	1476	25	and	and	CC
20165	1476	26	then	then	RB
20165	1476	27	from	from	IN
20165	1476	28	_	_	NNP
20165	1476	29	B	B	NNP
20165	1476	30	_	_	NNP
20165	1476	31	with	with	IN
20165	1476	32	radius	radius	NN
20165	1476	33	_	_	NNP
20165	1476	34	BO	BO	NNP
20165	1476	35	_	_	NNP
20165	1476	36	,	,	,
20165	1476	37	half	half	PDT
20165	1476	38	that	that	RB
20165	1476	39	diagonal	diagonal	JJ
20165	1476	40	,	,	,
20165	1476	41	describe	describe	VB
20165	1476	42	arc	arc	NNP
20165	1476	43	_	_	NNP
20165	1476	44	EOE	EOE	NNP
20165	1476	45	_	_	NNP
20165	1476	46	.	.	.
20165	1477	1	This	this	DT
20165	1477	2	will	will	MD
20165	1477	3	give	give	VB
20165	1477	4	us	-PRON-	PRP
20165	1477	5	the	the	DT
20165	1477	6	measurement	measurement	NN
20165	1477	7	_	_	NNP
20165	1477	8	AE	AE	NNP
20165	1477	9	_	_	NNP
20165	1477	10	.	.	.
20165	1478	1	Make	make	VB
20165	1478	2	_	_	NNP
20165	1478	3	GB	GB	NNP
20165	1478	4	_	_	NNP
20165	1478	5	equal	equal	JJ
20165	1478	6	to	to	IN
20165	1478	7	_	_	NNP
20165	1478	8	AE	AE	NNP
20165	1478	9	_	_	NNP
20165	1478	10	.	.	.
20165	1479	1	Then	then	RB
20165	1479	2	draw	draw	VB
20165	1479	3	lines	line	NNS
20165	1479	4	from	from	IN
20165	1479	5	_	_	NNP
20165	1479	6	G	G	NNP
20165	1479	7	_	_	NNP
20165	1479	8	and	and	CC
20165	1479	9	_	_	NNP
20165	1479	10	E	E	NNP
20165	1479	11	_	_	NNP
20165	1479	12	towards	towards	IN
20165	1479	13	_	_	NNP
20165	1479	14	S	S	NNP
20165	1479	15	_	_	NNP
20165	1479	16	,	,	,
20165	1479	17	and	and	CC
20165	1479	18	by	by	IN
20165	1479	19	means	mean	NNS
20165	1479	20	of	of	IN
20165	1479	21	the	the	DT
20165	1479	22	diagonals	diagonal	NNS
20165	1479	23	find	find	VBP
20165	1479	24	the	the	DT
20165	1479	25	transverse	transverse	JJ
20165	1479	26	lines	line	NNS
20165	1479	27	_	_	NNP
20165	1479	28	KK	KK	NNP
20165	1479	29	_	_	NNP
20165	1479	30	,	,	,
20165	1479	31	_	_	NNP
20165	1479	32	hh	hh	NNP
20165	1479	33	_	_	NNP
20165	1479	34	,	,	,
20165	1479	35	which	which	WDT
20165	1479	36	will	will	MD
20165	1479	37	give	give	VB
20165	1479	38	us	-PRON-	PRP
20165	1479	39	the	the	DT
20165	1479	40	eight	eight	CD
20165	1479	41	points	point	NNS
20165	1479	42	through	through	IN
20165	1479	43	which	which	WDT
20165	1479	44	to	to	TO
20165	1479	45	draw	draw	VB
20165	1479	46	the	the	DT
20165	1479	47	octagon	octagon	NN
20165	1479	48	.	.	.
20165	1480	1	CX	cx	NN
20165	1480	2	HOW	how	WRB
20165	1480	3	TO	to	TO
20165	1480	4	DRAW	draw	VB
20165	1480	5	THE	the	DT
20165	1480	6	OCTAGON	OCTAGON	NNP
20165	1480	7	IN	in	IN
20165	1480	8	ANGULAR	ANGULAR	NNP
20165	1480	9	PERSPECTIVE	PERSPECTIVE	NNP
20165	1480	10	Form	Form	NNP
20165	1480	11	square	square	NN
20165	1480	12	_	_	NNP
20165	1480	13	ABCD	ABCD	NNP
20165	1480	14	_	_	NNP
20165	1480	15	(	(	-LRB-
20165	1480	16	new	new	JJ
20165	1480	17	method	method	NN
20165	1480	18	)	)	-RRB-
20165	1480	19	,	,	,
20165	1480	20	produce	produce	VBP
20165	1480	21	sides	side	NNS
20165	1480	22	_	_	NNP
20165	1480	23	BC	BC	NNP
20165	1480	24	_	_	NNP
20165	1480	25	and	and	CC
20165	1480	26	_	_	NNP
20165	1480	27	AD	AD	NNP
20165	1480	28	_	_	NNP
20165	1480	29	to	to	IN
20165	1480	30	the	the	DT
20165	1480	31	horizon	horizon	NN
20165	1480	32	at	at	IN
20165	1480	33	_	_	NNP
20165	1480	34	V	V	NNP
20165	1480	35	_	_	NNP
20165	1480	36	,	,	,
20165	1480	37	and	and	CC
20165	1480	38	produce	produce	VB
20165	1480	39	_	_	NNP
20165	1480	40	VA	VA	NNP
20165	1480	41	_	_	NNP
20165	1480	42	to	to	IN
20165	1480	43	_	_	NNP
20165	1480	44	a	a	DT
20165	1480	45	·	·	NFP
20165	1480	46	_	_	NN
20165	1480	47	on	on	IN
20165	1480	48	base	base	NN
20165	1480	49	.	.	.
20165	1481	1	Drop	drop	VB
20165	1481	2	perpendicular	perpendicular	JJ
20165	1481	3	from	from	IN
20165	1481	4	_	_	NNP
20165	1481	5	B	B	NNP
20165	1481	6	_	_	NNP
20165	1481	7	to	to	IN
20165	1481	8	_	_	NNP
20165	1481	9	F	F	NNP
20165	1481	10	_	_	NNP
20165	1481	11	the	the	DT
20165	1481	12	same	same	JJ
20165	1481	13	length	length	NN
20165	1481	14	as	as	IN
20165	1481	15	_	_	NNP
20165	1481	16	a·B	a·B	NNP
20165	1481	17	_	_	NNP
20165	1481	18	,	,	,
20165	1481	19	and	and	CC
20165	1481	20	proceed	proceed	VB
20165	1481	21	as	as	IN
20165	1481	22	in	in	IN
20165	1481	23	the	the	DT
20165	1481	24	previous	previous	JJ
20165	1481	25	figure	figure	NN
20165	1481	26	to	to	TO
20165	1481	27	find	find	VB
20165	1481	28	the	the	DT
20165	1481	29	eight	eight	CD
20165	1481	30	points	point	NNS
20165	1481	31	on	on	IN
20165	1481	32	the	the	DT
20165	1481	33	oblique	oblique	NNP
20165	1481	34	square	square	NN
20165	1481	35	through	through	IN
20165	1481	36	which	which	WDT
20165	1481	37	to	to	TO
20165	1481	38	draw	draw	VB
20165	1481	39	the	the	DT
20165	1481	40	octagon	octagon	NN
20165	1481	41	.	.	.
20165	1482	1	[	[	-LRB-
20165	1482	2	Illustration	illustration	NN
20165	1482	3	:	:	:
20165	1482	4	Fig	Fig	NNP
20165	1482	5	.	.	.
20165	1483	1	200	200	CD
20165	1483	2	.	.	.
20165	1483	3	]	]	-RRB-
20165	1484	1	It	-PRON-	PRP
20165	1484	2	will	will	MD
20165	1484	3	be	be	VB
20165	1484	4	seen	see	VBN
20165	1484	5	that	that	IN
20165	1484	6	this	this	DT
20165	1484	7	operation	operation	NN
20165	1484	8	is	be	VBZ
20165	1484	9	very	very	RB
20165	1484	10	much	much	RB
20165	1484	11	the	the	DT
20165	1484	12	same	same	JJ
20165	1484	13	as	as	IN
20165	1484	14	in	in	IN
20165	1484	15	parallel	parallel	JJ
20165	1484	16	perspective	perspective	NN
20165	1484	17	,	,	,
20165	1484	18	only	only	RB
20165	1484	19	we	-PRON-	PRP
20165	1484	20	make	make	VBP
20165	1484	21	our	-PRON-	PRP$
20165	1484	22	measurements	measurement	NNS
20165	1484	23	on	on	IN
20165	1484	24	the	the	DT
20165	1484	25	base	base	NN
20165	1484	26	line	line	NN
20165	1484	27	_	_	NNP
20165	1484	28	a·B	a·B	NNP
20165	1484	29	_	_	NNP
20165	1484	30	as	as	IN
20165	1484	31	we	-PRON-	PRP
20165	1484	32	can	can	MD
20165	1484	33	not	not	RB
20165	1484	34	measure	measure	VB
20165	1484	35	the	the	DT
20165	1484	36	vanishing	vanish	VBG
20165	1484	37	line	line	NN
20165	1484	38	_	_	NNP
20165	1484	39	BA	BA	NNP
20165	1484	40	_	_	NNP
20165	1484	41	otherwise	otherwise	RB
20165	1484	42	.	.	.
20165	1485	1	CXI	CXI	NNP
20165	1485	2	HOW	how	WRB
20165	1485	3	TO	to	TO
20165	1485	4	DRAW	draw	VB
20165	1485	5	AN	an	DT
20165	1485	6	OCTAGONAL	octagonal	JJ
20165	1485	7	FIGURE	figure	NN
20165	1485	8	IN	in	IN
20165	1485	9	ANGULAR	angular	NN
20165	1485	10	PERSPECTIVE	perspective	NN
20165	1485	11	In	in	IN
20165	1485	12	this	this	DT
20165	1485	13	figure	figure	NN
20165	1485	14	in	in	IN
20165	1485	15	angular	angular	JJ
20165	1485	16	perspective	perspective	NN
20165	1485	17	we	-PRON-	PRP
20165	1485	18	do	do	VBP
20165	1485	19	precisely	precisely	RB
20165	1485	20	the	the	DT
20165	1485	21	same	same	JJ
20165	1485	22	thing	thing	NN
20165	1485	23	as	as	IN
20165	1485	24	in	in	IN
20165	1485	25	the	the	DT
20165	1485	26	previous	previous	JJ
20165	1485	27	problem	problem	NN
20165	1485	28	,	,	,
20165	1485	29	taking	take	VBG
20165	1485	30	our	-PRON-	PRP$
20165	1485	31	measurements	measurement	NNS
20165	1485	32	on	on	IN
20165	1485	33	the	the	DT
20165	1485	34	base	base	NN
20165	1485	35	line	line	NN
20165	1485	36	_	_	NNP
20165	1485	37	EB	EB	NNP
20165	1485	38	_	_	NNP
20165	1485	39	instead	instead	RB
20165	1485	40	of	of	IN
20165	1485	41	on	on	IN
20165	1485	42	the	the	DT
20165	1485	43	vanishing	vanish	VBG
20165	1485	44	line	line	NN
20165	1485	45	_	_	NNP
20165	1485	46	BA	BA	NNP
20165	1485	47	_	_	NNP
20165	1485	48	.	.	.
20165	1486	1	If	if	IN
20165	1486	2	we	-PRON-	PRP
20165	1486	3	wish	wish	VBP
20165	1486	4	to	to	TO
20165	1486	5	raise	raise	VB
20165	1486	6	a	a	DT
20165	1486	7	figure	figure	NN
20165	1486	8	on	on	IN
20165	1486	9	this	this	DT
20165	1486	10	octagon	octagon	NN
20165	1486	11	the	the	DT
20165	1486	12	height	height	NN
20165	1486	13	of	of	IN
20165	1486	14	_	_	NNP
20165	1486	15	EG	EG	NNP
20165	1486	16	_	_	NNP
20165	1486	17	we	-PRON-	PRP
20165	1486	18	form	form	VBP
20165	1486	19	the	the	DT
20165	1486	20	vanishing	vanish	VBG
20165	1486	21	scale	scale	NN
20165	1486	22	_	_	NNP
20165	1486	23	EGO	EGO	NNP
20165	1486	24	_	_	NNP
20165	1486	25	,	,	,
20165	1486	26	and	and	CC
20165	1486	27	from	from	IN
20165	1486	28	the	the	DT
20165	1486	29	eight	eight	CD
20165	1486	30	points	point	NNS
20165	1486	31	on	on	IN
20165	1486	32	the	the	DT
20165	1486	33	ground	ground	NN
20165	1486	34	draw	draw	VB
20165	1486	35	horizontals	horizontal	NNS
20165	1486	36	to	to	IN
20165	1486	37	_	_	NNP
20165	1486	38	EO	EO	NNP
20165	1486	39	_	_	NNP
20165	1486	40	and	and	CC
20165	1486	41	thus	thus	RB
20165	1486	42	find	find	VB
20165	1486	43	all	all	PDT
20165	1486	44	the	the	DT
20165	1486	45	points	point	NNS
20165	1486	46	that	that	WDT
20165	1486	47	give	give	VBP
20165	1486	48	us	-PRON-	PRP
20165	1486	49	the	the	DT
20165	1486	50	perspective	perspective	NN
20165	1486	51	height	height	NN
20165	1486	52	of	of	IN
20165	1486	53	each	each	DT
20165	1486	54	angle	angle	NN
20165	1486	55	of	of	IN
20165	1486	56	the	the	DT
20165	1486	57	octagonal	octagonal	JJ
20165	1486	58	figure	figure	NN
20165	1486	59	.	.	.
20165	1487	1	[	[	-LRB-
20165	1487	2	Illustration	illustration	NN
20165	1487	3	:	:	:
20165	1487	4	Fig	Fig	NNP
20165	1487	5	.	.	.
20165	1488	1	201	201	CD
20165	1488	2	.	.	.
20165	1488	3	]	]	-RRB-
20165	1489	1	CXII	cxii	VB
20165	1489	2	HOW	how	WRB
20165	1489	3	TO	to	TO
20165	1489	4	DRAW	draw	VB
20165	1489	5	CONCENTRIC	concentric	NN
20165	1489	6	OCTAGONS	octagon	NNS
20165	1489	7	,	,	,
20165	1489	8	WITH	with	IN
20165	1489	9	ILLUSTRATION	illustration	NN
20165	1489	10	OF	of	IN
20165	1489	11	A	a	DT
20165	1489	12	WELL	well	UH
20165	1489	13	The	the	DT
20165	1489	14	geometrical	geometrical	JJ
20165	1489	15	figure	figure	NN
20165	1489	16	202	202	CD
20165	1489	17	A	a	DT
20165	1489	18	shows	show	VBZ
20165	1489	19	how	how	WRB
20165	1489	20	by	by	IN
20165	1489	21	means	mean	NNS
20165	1489	22	of	of	IN
20165	1489	23	diagonals	diagonal	NNS
20165	1489	24	_	_	NNP
20165	1489	25	AC	AC	NNP
20165	1489	26	_	_	NNP
20165	1489	27	and	and	CC
20165	1489	28	_	_	NNP
20165	1489	29	BD	BD	NNP
20165	1489	30	_	_	NNP
20165	1489	31	and	and	CC
20165	1489	32	the	the	DT
20165	1489	33	radii	radii	NNP
20165	1489	34	1	1	CD
20165	1489	35	2	2	CD
20165	1489	36	3	3	CD
20165	1489	37	,	,	,
20165	1489	38	&	&	CC
20165	1489	39	c.	c.	NNP
20165	1489	40	,	,	,
20165	1489	41	we	-PRON-	PRP
20165	1489	42	can	can	MD
20165	1489	43	obtain	obtain	VB
20165	1489	44	smaller	small	JJR
20165	1489	45	octagons	octagon	NNS
20165	1489	46	inside	inside	IN
20165	1489	47	the	the	DT
20165	1489	48	larger	large	JJR
20165	1489	49	ones	one	NNS
20165	1489	50	.	.	.
20165	1490	1	Note	note	VB
20165	1490	2	how	how	WRB
20165	1490	3	these	these	DT
20165	1490	4	are	be	VBP
20165	1490	5	carried	carry	VBN
20165	1490	6	out	out	RP
20165	1490	7	in	in	IN
20165	1490	8	the	the	DT
20165	1490	9	second	second	JJ
20165	1490	10	figure	figure	NN
20165	1490	11	(	(	-LRB-
20165	1490	12	202	202	CD
20165	1490	13	B	b	NN
20165	1490	14	)	)	-RRB-
20165	1490	15	,	,	,
20165	1490	16	and	and	CC
20165	1490	17	their	-PRON-	PRP$
20165	1490	18	application	application	NN
20165	1490	19	to	to	IN
20165	1490	20	this	this	DT
20165	1490	21	drawing	drawing	NN
20165	1490	22	of	of	IN
20165	1490	23	an	an	DT
20165	1490	24	octagonal	octagonal	JJ
20165	1490	25	well	well	NN
20165	1490	26	on	on	IN
20165	1490	27	an	an	DT
20165	1490	28	octagonal	octagonal	JJ
20165	1490	29	base	base	NN
20165	1490	30	.	.	.
20165	1491	1	[	[	-LRB-
20165	1491	2	Illustration	illustration	NN
20165	1491	3	:	:	:
20165	1491	4	Fig	Fig	NNP
20165	1491	5	.	.	.
20165	1492	1	202	202	CD
20165	1492	2	A.	a.	NN
20165	1492	3	]	]	-RRB-
20165	1493	1	[	[	-LRB-
20165	1493	2	Illustration	illustration	NN
20165	1493	3	:	:	:
20165	1493	4	Fig	Fig	NNP
20165	1493	5	.	.	.
20165	1494	1	202	202	CD
20165	1494	2	B.	B.	NNP
20165	1494	3	]	]	-RRB-
20165	1495	1	[	[	-LRB-
20165	1495	2	Illustration	illustration	NN
20165	1495	3	:	:	:
20165	1495	4	Fig	Fig	NNP
20165	1495	5	.	.	.
20165	1496	1	203	203	CD
20165	1496	2	.	.	.
20165	1496	3	]	]	-RRB-
20165	1497	1	CXIII	CXIII	NNP
20165	1497	2	A	a	DT
20165	1497	3	PAVEMENT	pavement	NN
20165	1497	4	COMPOSED	COMPOSED	NNS
20165	1497	5	OF	of	IN
20165	1497	6	OCTAGONS	OCTAGONS	NNP
20165	1497	7	AND	and	CC
20165	1497	8	SMALL	SMALL	NNP
20165	1497	9	SQUARES	SQUARES	NNP
20165	1497	10	To	to	TO
20165	1497	11	draw	draw	VB
20165	1497	12	a	a	DT
20165	1497	13	pavement	pavement	NN
20165	1497	14	with	with	IN
20165	1497	15	octagonal	octagonal	JJ
20165	1497	16	tiles	tile	NNS
20165	1497	17	we	-PRON-	PRP
20165	1497	18	will	will	MD
20165	1497	19	begin	begin	VB
20165	1497	20	with	with	IN
20165	1497	21	an	an	DT
20165	1497	22	octagon	octagon	NN
20165	1497	23	contained	contain	VBN
20165	1497	24	in	in	IN
20165	1497	25	a	a	DT
20165	1497	26	square	square	NN
20165	1497	27	_	_	NNP
20165	1497	28	abcd	abcd	NN
20165	1497	29	_	_	NNP
20165	1497	30	.	.	.
20165	1498	1	Produce	produce	VB
20165	1498	2	diagonal	diagonal	JJ
20165	1498	3	_	_	NNP
20165	1498	4	ac	ac	NNP
20165	1498	5	_	_	NNP
20165	1498	6	to	to	IN
20165	1498	7	_	_	NNP
20165	1498	8	V	V	NNP
20165	1498	9	_	_	NNP
20165	1498	10	.	.	.
20165	1499	1	This	this	DT
20165	1499	2	will	will	MD
20165	1499	3	be	be	VB
20165	1499	4	the	the	DT
20165	1499	5	vanishing	vanish	VBG
20165	1499	6	point	point	NN
20165	1499	7	for	for	IN
20165	1499	8	the	the	DT
20165	1499	9	sides	side	NNS
20165	1499	10	of	of	IN
20165	1499	11	the	the	DT
20165	1499	12	small	small	JJ
20165	1499	13	squares	square	NNS
20165	1499	14	directed	direct	VBN
20165	1499	15	towards	towards	IN
20165	1499	16	it	-PRON-	PRP
20165	1499	17	.	.	.
20165	1500	1	The	the	DT
20165	1500	2	other	other	JJ
20165	1500	3	sides	side	NNS
20165	1500	4	are	be	VBP
20165	1500	5	directed	direct	VBN
20165	1500	6	to	to	IN
20165	1500	7	an	an	DT
20165	1500	8	inaccessible	inaccessible	JJ
20165	1500	9	point	point	NN
20165	1500	10	out	out	IN
20165	1500	11	of	of	IN
20165	1500	12	the	the	DT
20165	1500	13	picture	picture	NN
20165	1500	14	,	,	,
20165	1500	15	but	but	CC
20165	1500	16	their	-PRON-	PRP$
20165	1500	17	directions	direction	NNS
20165	1500	18	are	be	VBP
20165	1500	19	determined	determine	VBN
20165	1500	20	by	by	IN
20165	1500	21	the	the	DT
20165	1500	22	lines	line	NNS
20165	1500	23	drawn	draw	VBN
20165	1500	24	from	from	IN
20165	1500	25	divisions	division	NNS
20165	1500	26	on	on	IN
20165	1500	27	base	base	NN
20165	1500	28	to	to	IN
20165	1500	29	V2	v2	NN
20165	1500	30	(	(	-LRB-
20165	1500	31	see	see	VB
20165	1500	32	back	back	RB
20165	1500	33	,	,	,
20165	1500	34	Fig	Fig	NNP
20165	1500	35	.	.	.
20165	1501	1	133	133	LS
20165	1501	2	)	)	-RRB-
20165	1501	3	.	.	.
20165	1502	1	[	[	-LRB-
20165	1502	2	Illustration	illustration	NN
20165	1502	3	:	:	:
20165	1502	4	Fig	Fig	NNP
20165	1502	5	.	.	.
20165	1503	1	204	204	CD
20165	1503	2	.	.	.
20165	1503	3	]	]	-RRB-
20165	1504	1	[	[	-LRB-
20165	1504	2	Illustration	illustration	NN
20165	1504	3	:	:	:
20165	1504	4	Fig	Fig	NNP
20165	1504	5	.	.	.
20165	1505	1	205	205	CD
20165	1505	2	.	.	.
20165	1505	3	]	]	-RRB-
20165	1506	1	I	-PRON-	PRP
20165	1506	2	have	have	VBP
20165	1506	3	drawn	draw	VBN
20165	1506	4	the	the	DT
20165	1506	5	lower	low	JJR
20165	1506	6	figure	figure	NN
20165	1506	7	to	to	TO
20165	1506	8	show	show	VB
20165	1506	9	how	how	WRB
20165	1506	10	the	the	DT
20165	1506	11	squares	square	NNS
20165	1506	12	which	which	WDT
20165	1506	13	contain	contain	VBP
20165	1506	14	the	the	DT
20165	1506	15	octagons	octagon	NNS
20165	1506	16	are	be	VBP
20165	1506	17	obtained	obtain	VBN
20165	1506	18	by	by	IN
20165	1506	19	means	mean	NNS
20165	1506	20	of	of	IN
20165	1506	21	the	the	DT
20165	1506	22	diagonals	diagonal	NNS
20165	1506	23	,	,	,
20165	1506	24	_	_	NNP
20165	1506	25	BD	BD	NNP
20165	1506	26	_	_	NNP
20165	1506	27	,	,	,
20165	1506	28	_	_	NNP
20165	1506	29	AC	AC	NNP
20165	1506	30	_	_	NNP
20165	1506	31	,	,	,
20165	1506	32	and	and	CC
20165	1506	33	the	the	DT
20165	1506	34	central	central	JJ
20165	1506	35	line	line	NN
20165	1506	36	OV2	OV2	NNP
20165	1506	37	.	.	.
20165	1507	1	Given	give	VBN
20165	1507	2	the	the	DT
20165	1507	3	square	square	NN
20165	1507	4	_	_	NNP
20165	1507	5	ABCD	ABCD	NNP
20165	1507	6	_	_	NNP
20165	1507	7	.	.	.
20165	1508	1	From	from	IN
20165	1508	2	_	_	NNP
20165	1508	3	D	D	NNP
20165	1508	4	_	_	NNP
20165	1508	5	draw	draw	NN
20165	1508	6	diagonal	diagonal	JJ
20165	1508	7	to	to	IN
20165	1508	8	_	_	NNP
20165	1508	9	G	G	NNP
20165	1508	10	_	_	NNP
20165	1508	11	,	,	,
20165	1508	12	then	then	RB
20165	1508	13	from	from	IN
20165	1508	14	_	_	NNP
20165	1508	15	C	C	NNP
20165	1508	16	_	_	NNP
20165	1508	17	through	through	IN
20165	1508	18	centre	centre	NN
20165	1508	19	_	_	NNP
20165	1508	20	o	o	XX
20165	1508	21	_	_	NNP
20165	1508	22	draw	draw	NN
20165	1508	23	_	_	NNP
20165	1508	24	CE	CE	NNP
20165	1508	25	_	_	NNP
20165	1508	26	,	,	,
20165	1508	27	and	and	CC
20165	1508	28	so	so	RB
20165	1508	29	on	on	IN
20165	1508	30	all	all	PDT
20165	1508	31	the	the	DT
20165	1508	32	way	way	NN
20165	1508	33	up	up	IN
20165	1508	34	the	the	DT
20165	1508	35	floor	floor	NN
20165	1508	36	until	until	IN
20165	1508	37	sufficient	sufficient	JJ
20165	1508	38	are	be	VBP
20165	1508	39	obtained	obtain	VBN
20165	1508	40	.	.	.
20165	1509	1	It	-PRON-	PRP
20165	1509	2	is	be	VBZ
20165	1509	3	easy	easy	JJ
20165	1509	4	to	to	TO
20165	1509	5	see	see	VB
20165	1509	6	how	how	WRB
20165	1509	7	other	other	JJ
20165	1509	8	squares	square	NNS
20165	1509	9	on	on	IN
20165	1509	10	each	each	DT
20165	1509	11	side	side	NN
20165	1509	12	of	of	IN
20165	1509	13	these	these	DT
20165	1509	14	can	can	MD
20165	1509	15	be	be	VB
20165	1509	16	produced	produce	VBN
20165	1509	17	.	.	.
20165	1510	1	CXIV	CXIV	NNP
20165	1510	2	THE	the	DT
20165	1510	3	HEXAGON	HEXAGON	NNP
20165	1510	4	The	the	DT
20165	1510	5	hexagon	hexagon	NN
20165	1510	6	is	be	VBZ
20165	1510	7	a	a	DT
20165	1510	8	six	six	CD
20165	1510	9	-	-	HYPH
20165	1510	10	sided	sided	JJ
20165	1510	11	figure	figure	NN
20165	1510	12	which	which	WDT
20165	1510	13	,	,	,
20165	1510	14	if	if	IN
20165	1510	15	inscribed	inscribe	VBN
20165	1510	16	in	in	IN
20165	1510	17	a	a	DT
20165	1510	18	circle	circle	NN
20165	1510	19	,	,	,
20165	1510	20	will	will	MD
20165	1510	21	have	have	VB
20165	1510	22	each	each	DT
20165	1510	23	of	of	IN
20165	1510	24	its	-PRON-	PRP$
20165	1510	25	sides	side	NNS
20165	1510	26	equal	equal	JJ
20165	1510	27	to	to	IN
20165	1510	28	the	the	DT
20165	1510	29	radius	radius	NN
20165	1510	30	of	of	IN
20165	1510	31	that	that	DT
20165	1510	32	circle	circle	NN
20165	1510	33	(	(	-LRB-
20165	1510	34	Fig	fig	NN
20165	1510	35	.	.	.
20165	1511	1	206	206	CD
20165	1511	2	)	)	-RRB-
20165	1511	3	.	.	.
20165	1512	1	If	if	IN
20165	1512	2	inscribed	inscribe	VBN
20165	1512	3	in	in	IN
20165	1512	4	a	a	DT
20165	1512	5	rectangle	rectangle	NN
20165	1512	6	_	_	NNP
20165	1512	7	ABCD	ABCD	NNP
20165	1512	8	_	_	NNP
20165	1512	9	,	,	,
20165	1512	10	that	that	IN
20165	1512	11	rectangle	rectangle	NNP
20165	1512	12	will	will	MD
20165	1512	13	be	be	VB
20165	1512	14	equal	equal	JJ
20165	1512	15	in	in	IN
20165	1512	16	length	length	NN
20165	1512	17	to	to	IN
20165	1512	18	two	two	CD
20165	1512	19	sides	side	NNS
20165	1512	20	of	of	IN
20165	1512	21	the	the	DT
20165	1512	22	hexagon	hexagon	NNP
20165	1512	23	or	or	CC
20165	1512	24	two	two	CD
20165	1512	25	radii	radii	NN
20165	1512	26	of	of	IN
20165	1512	27	the	the	DT
20165	1512	28	circle	circle	NN
20165	1512	29	,	,	,
20165	1512	30	as	as	IN
20165	1512	31	_	_	NNP
20165	1512	32	EF	EF	NNP
20165	1512	33	_	_	NNP
20165	1512	34	,	,	,
20165	1512	35	and	and	CC
20165	1512	36	its	-PRON-	PRP$
20165	1512	37	width	width	NN
20165	1512	38	will	will	MD
20165	1512	39	be	be	VB
20165	1512	40	twice	twice	PDT
20165	1512	41	the	the	DT
20165	1512	42	height	height	NN
20165	1512	43	of	of	IN
20165	1512	44	an	an	DT
20165	1512	45	equilateral	equilateral	JJ
20165	1512	46	triangle	triangle	NN
20165	1512	47	_	_	NNP
20165	1512	48	mon	mon	NNP
20165	1512	49	_	_	NNP
20165	1512	50	.	.	.
20165	1513	1	[	[	-LRB-
20165	1513	2	Illustration	illustration	NN
20165	1513	3	:	:	:
20165	1513	4	Fig	Fig	NNP
20165	1513	5	.	.	.
20165	1514	1	206	206	CD
20165	1514	2	.	.	.
20165	1514	3	]	]	-RRB-
20165	1515	1	To	to	TO
20165	1515	2	put	put	VB
20165	1515	3	the	the	DT
20165	1515	4	hexagon	hexagon	NNP
20165	1515	5	into	into	IN
20165	1515	6	perspective	perspective	NN
20165	1515	7	,	,	,
20165	1515	8	draw	draw	VB
20165	1515	9	base	base	NN
20165	1515	10	of	of	IN
20165	1515	11	quadrilateral	quadrilateral	JJ
20165	1515	12	_	_	NNP
20165	1515	13	AD	AD	NNP
20165	1515	14	_	_	NNP
20165	1515	15	,	,	,
20165	1515	16	divide	divide	VB
20165	1515	17	it	-PRON-	PRP
20165	1515	18	into	into	IN
20165	1515	19	four	four	CD
20165	1515	20	equal	equal	JJ
20165	1515	21	parts	part	NNS
20165	1515	22	,	,	,
20165	1515	23	and	and	CC
20165	1515	24	from	from	IN
20165	1515	25	each	each	DT
20165	1515	26	division	division	NN
20165	1515	27	draw	draw	VBP
20165	1515	28	lines	line	NNS
20165	1515	29	to	to	IN
20165	1515	30	point	point	NN
20165	1515	31	of	of	IN
20165	1515	32	sight	sight	NN
20165	1515	33	.	.	.
20165	1516	1	From	from	IN
20165	1516	2	_	_	NNP
20165	1516	3	h	h	NNP
20165	1516	4	_	_	NNP
20165	1516	5	drop	drop	NN
20165	1516	6	perpendicular	perpendicular	JJ
20165	1516	7	_	_	NNP
20165	1516	8	ho	ho	NNP
20165	1516	9	_	_	NNP
20165	1516	10	,	,	,
20165	1516	11	and	and	CC
20165	1516	12	form	form	NN
20165	1516	13	equilateral	equilateral	JJ
20165	1516	14	triangle	triangle	NNP
20165	1516	15	_	_	NNP
20165	1516	16	mno	mno	NNP
20165	1516	17	_	_	NNP
20165	1516	18	.	.	.
20165	1517	1	Take	take	VB
20165	1517	2	the	the	DT
20165	1517	3	height	height	NN
20165	1517	4	_	_	NNP
20165	1517	5	ho	ho	NNP
20165	1517	6	_	_	NNP
20165	1517	7	and	and	CC
20165	1517	8	measure	measure	VB
20165	1517	9	it	-PRON-	PRP
20165	1517	10	twice	twice	RB
20165	1517	11	along	along	IN
20165	1517	12	the	the	DT
20165	1517	13	base	base	NN
20165	1517	14	from	from	IN
20165	1517	15	_	_	NNP
20165	1517	16	A	A	NNP
20165	1517	17	_	_	NNP
20165	1517	18	to	to	IN
20165	1517	19	2	2	CD
20165	1517	20	.	.	.
20165	1518	1	From	from	IN
20165	1518	2	2	2	CD
20165	1518	3	draw	draw	VB
20165	1518	4	line	line	NN
20165	1518	5	to	to	TO
20165	1518	6	point	point	NN
20165	1518	7	of	of	IN
20165	1518	8	distance	distance	NN
20165	1518	9	,	,	,
20165	1518	10	or	or	CC
20165	1518	11	from	from	IN
20165	1518	12	1	1	CD
20165	1518	13	to	to	IN
20165	1518	14	½	½	JJ
20165	1518	15	distance	distance	NN
20165	1518	16	,	,	,
20165	1518	17	and	and	CC
20165	1518	18	so	so	RB
20165	1518	19	find	find	VB
20165	1518	20	length	length	NN
20165	1518	21	of	of	IN
20165	1518	22	side	side	NN
20165	1518	23	_	_	NNP
20165	1518	24	AB	AB	NNP
20165	1518	25	_	_	NNP
20165	1518	26	equal	equal	JJ
20165	1518	27	to	to	IN
20165	1518	28	A2	A2	NNP
20165	1518	29	.	.	.
20165	1519	1	Draw	Draw	NNP
20165	1519	2	_	_	NNP
20165	1519	3	BC	BC	NNP
20165	1519	4	_	_	NNP
20165	1519	5	,	,	,
20165	1519	6	and	and	CC
20165	1519	7	_	_	NNP
20165	1519	8	EF	EF	NNP
20165	1519	9	_	_	NNP
20165	1519	10	through	through	IN
20165	1519	11	centre	centre	NN
20165	1519	12	_	_	NNP
20165	1519	13	o	o	NNP
20165	1519	14	·	·	NFP
20165	1519	15	_	_	NNP
20165	1519	16	,	,	,
20165	1519	17	and	and	CC
20165	1519	18	thus	thus	RB
20165	1519	19	we	-PRON-	PRP
20165	1519	20	have	have	VBP
20165	1519	21	the	the	DT
20165	1519	22	six	six	CD
20165	1519	23	points	point	NNS
20165	1519	24	through	through	IN
20165	1519	25	which	which	WDT
20165	1519	26	to	to	TO
20165	1519	27	draw	draw	VB
20165	1519	28	the	the	DT
20165	1519	29	hexagon	hexagon	NNP
20165	1519	30	.	.	.
20165	1520	1	[	[	-LRB-
20165	1520	2	Illustration	illustration	NN
20165	1520	3	:	:	:
20165	1520	4	Fig	Fig	NNP
20165	1520	5	.	.	.
20165	1521	1	207	207	CD
20165	1521	2	.	.	.
20165	1521	3	]	]	-RRB-
20165	1522	1	CXV	CXV	NNP
20165	1522	2	A	a	DT
20165	1522	3	PAVEMENT	pavement	JJ
20165	1522	4	COMPOSED	composed	DT
20165	1522	5	OF	of	IN
20165	1522	6	HEXAGONAL	HEXAGONAL	NNP
20165	1522	7	TILES	TILES	NNP
20165	1522	8	In	in	IN
20165	1522	9	drawing	draw	VBG
20165	1522	10	pavements	pavement	NNS
20165	1522	11	,	,	,
20165	1522	12	except	except	IN
20165	1522	13	in	in	IN
20165	1522	14	the	the	DT
20165	1522	15	cases	case	NNS
20165	1522	16	of	of	IN
20165	1522	17	square	square	JJ
20165	1522	18	tiles	tile	NNS
20165	1522	19	,	,	,
20165	1522	20	it	-PRON-	PRP
20165	1522	21	is	be	VBZ
20165	1522	22	necessary	necessary	JJ
20165	1522	23	to	to	TO
20165	1522	24	make	make	VB
20165	1522	25	a	a	DT
20165	1522	26	plan	plan	NN
20165	1522	27	of	of	IN
20165	1522	28	the	the	DT
20165	1522	29	required	require	VBN
20165	1522	30	design	design	NN
20165	1522	31	,	,	,
20165	1522	32	as	as	IN
20165	1522	33	in	in	IN
20165	1522	34	this	this	DT
20165	1522	35	figure	figure	NN
20165	1522	36	composed	compose	VBN
20165	1522	37	of	of	IN
20165	1522	38	hexagons	hexagon	NNS
20165	1522	39	.	.	.
20165	1523	1	First	first	RB
20165	1523	2	set	set	VB
20165	1523	3	out	out	RP
20165	1523	4	the	the	DT
20165	1523	5	hexagon	hexagon	NNP
20165	1523	6	as	as	IN
20165	1523	7	at	at	IN
20165	1523	8	_	_	NNP
20165	1523	9	A	A	NNP
20165	1523	10	_	_	NNP
20165	1523	11	,	,	,
20165	1523	12	then	then	RB
20165	1523	13	draw	draw	VB
20165	1523	14	parallels	parallel	VBZ
20165	1523	15	1	1	CD
20165	1523	16	1	1	CD
20165	1523	17	,	,	,
20165	1523	18	2	2	CD
20165	1523	19	2	2	CD
20165	1523	20	,	,	,
20165	1523	21	&	&	CC
20165	1523	22	c.	c.	NNP
20165	1523	23	,	,	,
20165	1523	24	to	to	TO
20165	1523	25	mark	mark	VB
20165	1523	26	the	the	DT
20165	1523	27	horizontal	horizontal	JJ
20165	1523	28	ends	end	NNS
20165	1523	29	of	of	IN
20165	1523	30	the	the	DT
20165	1523	31	tiles	tile	NNS
20165	1523	32	and	and	CC
20165	1523	33	the	the	DT
20165	1523	34	intermediate	intermediate	JJ
20165	1523	35	lines	line	NNS
20165	1523	36	_	_	NNP
20165	1523	37	oo	oo	NNP
20165	1523	38	_	_	NNP
20165	1523	39	.	.	.
20165	1524	1	Divide	divide	VB
20165	1524	2	the	the	DT
20165	1524	3	base	base	NN
20165	1524	4	into	into	IN
20165	1524	5	the	the	DT
20165	1524	6	required	require	VBN
20165	1524	7	number	number	NN
20165	1524	8	of	of	IN
20165	1524	9	parts	part	NNS
20165	1524	10	,	,	,
20165	1524	11	each	each	DT
20165	1524	12	equal	equal	JJ
20165	1524	13	to	to	IN
20165	1524	14	one	one	CD
20165	1524	15	side	side	NN
20165	1524	16	of	of	IN
20165	1524	17	the	the	DT
20165	1524	18	hexagon	hexagon	NNP
20165	1524	19	,	,	,
20165	1524	20	as	as	IN
20165	1524	21	1	1	CD
20165	1524	22	,	,	,
20165	1524	23	2	2	CD
20165	1524	24	,	,	,
20165	1524	25	3	3	CD
20165	1524	26	,	,	,
20165	1524	27	4	4	CD
20165	1524	28	,	,	,
20165	1524	29	&	&	CC
20165	1524	30	c.	c.	NNP
20165	1524	31	;	;	:
20165	1524	32	from	from	IN
20165	1524	33	these	these	DT
20165	1524	34	draw	draw	NN
20165	1524	35	perpendiculars	perpendicular	NNS
20165	1524	36	as	as	IN
20165	1524	37	shown	show	VBN
20165	1524	38	in	in	IN
20165	1524	39	the	the	DT
20165	1524	40	figure	figure	NN
20165	1524	41	,	,	,
20165	1524	42	and	and	CC
20165	1524	43	also	also	RB
20165	1524	44	the	the	DT
20165	1524	45	diagonals	diagonal	NNS
20165	1524	46	passing	pass	VBG
20165	1524	47	through	through	IN
20165	1524	48	their	-PRON-	PRP$
20165	1524	49	intersections	intersection	NNS
20165	1524	50	.	.	.
20165	1525	1	Then	then	RB
20165	1525	2	mark	mark	VB
20165	1525	3	with	with	IN
20165	1525	4	a	a	DT
20165	1525	5	strong	strong	JJ
20165	1525	6	line	line	NN
20165	1525	7	the	the	DT
20165	1525	8	outlines	outline	NNS
20165	1525	9	of	of	IN
20165	1525	10	the	the	DT
20165	1525	11	hexagonals	hexagonal	NNS
20165	1525	12	,	,	,
20165	1525	13	shading	shade	VBG
20165	1525	14	some	some	DT
20165	1525	15	of	of	IN
20165	1525	16	them	-PRON-	PRP
20165	1525	17	;	;	:
20165	1525	18	but	but	CC
20165	1525	19	the	the	DT
20165	1525	20	figure	figure	NN
20165	1525	21	explains	explain	VBZ
20165	1525	22	itself	-PRON-	PRP
20165	1525	23	.	.	.
20165	1526	1	It	-PRON-	PRP
20165	1526	2	is	be	VBZ
20165	1526	3	easy	easy	JJ
20165	1526	4	to	to	TO
20165	1526	5	put	put	VB
20165	1526	6	all	all	PDT
20165	1526	7	these	these	DT
20165	1526	8	parallels	parallel	NNS
20165	1526	9	,	,	,
20165	1526	10	perpendiculars	perpendicular	NNS
20165	1526	11	,	,	,
20165	1526	12	and	and	CC
20165	1526	13	diagonals	diagonal	NNS
20165	1526	14	into	into	IN
20165	1526	15	perspective	perspective	NN
20165	1526	16	,	,	,
20165	1526	17	and	and	CC
20165	1526	18	then	then	RB
20165	1526	19	to	to	TO
20165	1526	20	draw	draw	VB
20165	1526	21	the	the	DT
20165	1526	22	hexagons	hexagon	NNS
20165	1526	23	.	.	.
20165	1527	1	First	first	RB
20165	1527	2	draw	draw	VB
20165	1527	3	the	the	DT
20165	1527	4	hexagon	hexagon	NN
20165	1527	5	on	on	IN
20165	1527	6	_	_	NNP
20165	1527	7	AD	AD	NNP
20165	1527	8	_	_	NNP
20165	1527	9	as	as	IN
20165	1527	10	in	in	IN
20165	1527	11	the	the	DT
20165	1527	12	previous	previous	JJ
20165	1527	13	figure	figure	NN
20165	1527	14	,	,	,
20165	1527	15	dividing	divide	VBG
20165	1527	16	_	_	NNP
20165	1527	17	AD	AD	NNP
20165	1527	18	_	_	NNP
20165	1527	19	into	into	IN
20165	1527	20	four	four	CD
20165	1527	21	,	,	,
20165	1527	22	&	&	CC
20165	1527	23	c.	c.	NNP
20165	1527	24	,	,	,
20165	1527	25	set	set	VBN
20165	1527	26	off	off	RP
20165	1527	27	right	right	RB
20165	1527	28	and	and	CC
20165	1527	29	left	leave	VBD
20165	1527	30	spaces	space	NNS
20165	1527	31	equal	equal	JJ
20165	1527	32	to	to	IN
20165	1527	33	these	these	DT
20165	1527	34	fourths	fourth	NNS
20165	1527	35	,	,	,
20165	1527	36	and	and	CC
20165	1527	37	from	from	IN
20165	1527	38	each	each	DT
20165	1527	39	division	division	NN
20165	1527	40	draw	draw	VBP
20165	1527	41	lines	line	NNS
20165	1527	42	to	to	IN
20165	1527	43	point	point	NN
20165	1527	44	of	of	IN
20165	1527	45	sight	sight	NN
20165	1527	46	.	.	.
20165	1528	1	Produce	produce	NN
20165	1528	2	sides	side	NNS
20165	1528	3	_	_	NNP
20165	1528	4	me	-PRON-	PRP
20165	1528	5	_	_	NNP
20165	1528	6	,	,	,
20165	1528	7	_	_	NNP
20165	1528	8	nf	nf	IN
20165	1528	9	_	_	NNP
20165	1528	10	till	till	IN
20165	1528	11	they	-PRON-	PRP
20165	1528	12	touch	touch	VBP
20165	1528	13	the	the	DT
20165	1528	14	horizon	horizon	NN
20165	1528	15	in	in	IN
20165	1528	16	points	point	NNS
20165	1528	17	_	_	NNP
20165	1528	18	V	V	NNP
20165	1528	19	_	_	NNP
20165	1528	20	,	,	,
20165	1528	21	_	_	NNP
20165	1528	22	V	V	NNP
20165	1528	23	·	·	NFP
20165	1528	24	_	_	XX
20165	1528	25	;	;	:
20165	1528	26	these	these	DT
20165	1528	27	will	will	MD
20165	1528	28	be	be	VB
20165	1528	29	the	the	DT
20165	1528	30	two	two	CD
20165	1528	31	vanishing	vanish	VBG
20165	1528	32	points	point	NNS
20165	1528	33	for	for	IN
20165	1528	34	all	all	PDT
20165	1528	35	the	the	DT
20165	1528	36	sides	side	NNS
20165	1528	37	of	of	IN
20165	1528	38	the	the	DT
20165	1528	39	tiles	tile	NNS
20165	1528	40	that	that	WDT
20165	1528	41	are	be	VBP
20165	1528	42	receding	recede	VBG
20165	1528	43	from	from	IN
20165	1528	44	us	-PRON-	PRP
20165	1528	45	.	.	.
20165	1529	1	From	from	IN
20165	1529	2	each	each	DT
20165	1529	3	division	division	NN
20165	1529	4	on	on	IN
20165	1529	5	base	base	NN
20165	1529	6	draw	draw	NN
20165	1529	7	lines	line	NNS
20165	1529	8	to	to	IN
20165	1529	9	each	each	DT
20165	1529	10	of	of	IN
20165	1529	11	these	these	DT
20165	1529	12	vanishing	vanish	VBG
20165	1529	13	points	point	NNS
20165	1529	14	,	,	,
20165	1529	15	then	then	RB
20165	1529	16	draw	draw	VB
20165	1529	17	parallels	parallel	NNS
20165	1529	18	through	through	IN
20165	1529	19	their	-PRON-	PRP$
20165	1529	20	intersections	intersection	NNS
20165	1529	21	as	as	IN
20165	1529	22	shown	show	VBN
20165	1529	23	on	on	IN
20165	1529	24	the	the	DT
20165	1529	25	figure	figure	NN
20165	1529	26	.	.	.
20165	1530	1	Having	have	VBG
20165	1530	2	all	all	PDT
20165	1530	3	these	these	DT
20165	1530	4	guiding	guide	VBG
20165	1530	5	lines	line	NNS
20165	1530	6	it	-PRON-	PRP
20165	1530	7	will	will	MD
20165	1530	8	not	not	RB
20165	1530	9	be	be	VB
20165	1530	10	difficult	difficult	JJ
20165	1530	11	to	to	TO
20165	1530	12	draw	draw	VB
20165	1530	13	as	as	IN
20165	1530	14	many	many	JJ
20165	1530	15	hexagons	hexagon	NNS
20165	1530	16	as	as	IN
20165	1530	17	you	-PRON-	PRP
20165	1530	18	please	please	VBP
20165	1530	19	.	.	.
20165	1531	1	[	[	-LRB-
20165	1531	2	Illustration	illustration	NN
20165	1531	3	:	:	:
20165	1531	4	Fig	Fig	NNP
20165	1531	5	.	.	.
20165	1532	1	208	208	CD
20165	1532	2	.	.	.
20165	1532	3	]	]	-RRB-
20165	1533	1	Note	note	VB
20165	1533	2	that	that	IN
20165	1533	3	the	the	DT
20165	1533	4	vanishing	vanish	VBG
20165	1533	5	points	point	NNS
20165	1533	6	should	should	MD
20165	1533	7	be	be	VB
20165	1533	8	at	at	IN
20165	1533	9	equal	equal	JJ
20165	1533	10	distances	distance	NNS
20165	1533	11	from	from	IN
20165	1533	12	_	_	NNP
20165	1533	13	S	S	NNP
20165	1533	14	_	_	NNP
20165	1533	15	,	,	,
20165	1533	16	also	also	RB
20165	1533	17	that	that	IN
20165	1533	18	the	the	DT
20165	1533	19	parallelogram	parallelogram	NN
20165	1533	20	in	in	IN
20165	1533	21	which	which	WDT
20165	1533	22	each	each	DT
20165	1533	23	tile	tile	NN
20165	1533	24	is	be	VBZ
20165	1533	25	contained	contain	VBN
20165	1533	26	is	be	VBZ
20165	1533	27	oblong	oblong	JJ
20165	1533	28	,	,	,
20165	1533	29	and	and	CC
20165	1533	30	not	not	RB
20165	1533	31	square	square	JJ
20165	1533	32	,	,	,
20165	1533	33	as	as	IN
20165	1533	34	already	already	RB
20165	1533	35	pointed	point	VBD
20165	1533	36	out	out	RP
20165	1533	37	.	.	.
20165	1534	1	We	-PRON-	PRP
20165	1534	2	have	have	VBP
20165	1534	3	also	also	RB
20165	1534	4	made	make	VBN
20165	1534	5	use	use	NN
20165	1534	6	of	of	IN
20165	1534	7	the	the	DT
20165	1534	8	triangle	triangle	NN
20165	1534	9	_	_	NNP
20165	1534	10	omn	omn	NNP
20165	1534	11	_	_	NNP
20165	1534	12	to	to	TO
20165	1534	13	ascertain	ascertain	VB
20165	1534	14	the	the	DT
20165	1534	15	length	length	NN
20165	1534	16	and	and	CC
20165	1534	17	width	width	NN
20165	1534	18	of	of	IN
20165	1534	19	that	that	DT
20165	1534	20	oblong	oblong	NN
20165	1534	21	.	.	.
20165	1535	1	Another	another	DT
20165	1535	2	thing	thing	NN
20165	1535	3	to	to	TO
20165	1535	4	note	note	VB
20165	1535	5	is	be	VBZ
20165	1535	6	that	that	IN
20165	1535	7	we	-PRON-	PRP
20165	1535	8	have	have	VBP
20165	1535	9	made	make	VBN
20165	1535	10	use	use	NN
20165	1535	11	of	of	IN
20165	1535	12	the	the	DT
20165	1535	13	half	half	NN
20165	1535	14	distance	distance	NN
20165	1535	15	,	,	,
20165	1535	16	which	which	WDT
20165	1535	17	enables	enable	VBZ
20165	1535	18	us	-PRON-	PRP
20165	1535	19	to	to	TO
20165	1535	20	make	make	VB
20165	1535	21	our	-PRON-	PRP$
20165	1535	22	pavement	pavement	NN
20165	1535	23	look	look	VB
20165	1535	24	flat	flat	JJ
20165	1535	25	without	without	IN
20165	1535	26	spreading	spread	VBG
20165	1535	27	our	-PRON-	PRP$
20165	1535	28	lines	line	NNS
20165	1535	29	outside	outside	IN
20165	1535	30	the	the	DT
20165	1535	31	picture	picture	NN
20165	1535	32	.	.	.
20165	1536	1	[	[	-LRB-
20165	1536	2	Illustration	illustration	NN
20165	1536	3	:	:	:
20165	1536	4	Fig	Fig	NNP
20165	1536	5	.	.	.
20165	1537	1	209	209	CD
20165	1537	2	.	.	.
20165	1537	3	]	]	-RRB-
20165	1538	1	CXVI	CXVI	NNP
20165	1538	2	A	a	DT
20165	1538	3	PAVEMENT	pavement	NN
20165	1538	4	OF	of	IN
20165	1538	5	HEXAGONAL	HEXAGONAL	NNP
20165	1538	6	TILES	TILES	NNP
20165	1538	7	IN	in	IN
20165	1538	8	ANGULAR	ANGULAR	NNP
20165	1538	9	PERSPECTIVE	perspective	NN
20165	1538	10	This	this	DT
20165	1538	11	is	be	VBZ
20165	1538	12	more	more	RBR
20165	1538	13	difficult	difficult	JJ
20165	1538	14	than	than	IN
20165	1538	15	the	the	DT
20165	1538	16	previous	previous	JJ
20165	1538	17	figure	figure	NN
20165	1538	18	,	,	,
20165	1538	19	as	as	IN
20165	1538	20	we	-PRON-	PRP
20165	1538	21	only	only	RB
20165	1538	22	make	make	VBP
20165	1538	23	use	use	NN
20165	1538	24	of	of	IN
20165	1538	25	one	one	CD
20165	1538	26	vanishing	vanishing	NN
20165	1538	27	point	point	NN
20165	1538	28	;	;	:
20165	1538	29	but	but	CC
20165	1538	30	it	-PRON-	PRP
20165	1538	31	shows	show	VBZ
20165	1538	32	how	how	WRB
20165	1538	33	much	much	JJ
20165	1538	34	can	can	MD
20165	1538	35	be	be	VB
20165	1538	36	done	do	VBN
20165	1538	37	by	by	IN
20165	1538	38	diagonals	diagonal	NNS
20165	1538	39	,	,	,
20165	1538	40	as	as	IN
20165	1538	41	nearly	nearly	RB
20165	1538	42	all	all	PDT
20165	1538	43	this	this	DT
20165	1538	44	pavement	pavement	NN
20165	1538	45	is	be	VBZ
20165	1538	46	drawn	draw	VBN
20165	1538	47	by	by	IN
20165	1538	48	their	-PRON-	PRP$
20165	1538	49	aid	aid	NN
20165	1538	50	.	.	.
20165	1539	1	First	first	RB
20165	1539	2	make	make	VB
20165	1539	3	a	a	DT
20165	1539	4	geometrical	geometrical	JJ
20165	1539	5	plan	plan	NN
20165	1539	6	_	_	NNP
20165	1539	7	A	A	NNP
20165	1539	8	_	_	NNP
20165	1539	9	at	at	IN
20165	1539	10	the	the	DT
20165	1539	11	angle	angle	NN
20165	1539	12	required	require	VBN
20165	1539	13	.	.	.
20165	1540	1	Then	then	RB
20165	1540	2	draw	draw	VB
20165	1540	3	its	-PRON-	PRP$
20165	1540	4	perspective	perspective	NN
20165	1540	5	_	_	NNP
20165	1540	6	K	K	NNP
20165	1540	7	_	_	NNP
20165	1540	8	.	.	.
20165	1541	1	Divide	divide	NN
20165	1541	2	line	line	NN
20165	1541	3	4b	4b	NNS
20165	1541	4	into	into	IN
20165	1541	5	four	four	CD
20165	1541	6	equal	equal	JJ
20165	1541	7	parts	part	NNS
20165	1541	8	,	,	,
20165	1541	9	and	and	CC
20165	1541	10	continue	continue	VB
20165	1541	11	these	these	DT
20165	1541	12	measurements	measurement	NNS
20165	1541	13	all	all	RB
20165	1541	14	along	along	IN
20165	1541	15	the	the	DT
20165	1541	16	base	base	NN
20165	1541	17	:	:	:
20165	1541	18	from	from	IN
20165	1541	19	each	each	DT
20165	1541	20	division	division	NN
20165	1541	21	draw	draw	VBP
20165	1541	22	lines	line	NNS
20165	1541	23	to	to	IN
20165	1541	24	_	_	NNP
20165	1541	25	V	V	NNP
20165	1541	26	_	_	NNP
20165	1541	27	,	,	,
20165	1541	28	and	and	CC
20165	1541	29	draw	draw	VB
20165	1541	30	the	the	DT
20165	1541	31	hexagon	hexagon	NNP
20165	1541	32	_	_	NNP
20165	1541	33	K	K	NNP
20165	1541	34	_	_	NNP
20165	1541	35	.	.	.
20165	1542	1	Having	have	VBG
20165	1542	2	this	this	DT
20165	1542	3	one	one	PRP
20165	1542	4	to	to	TO
20165	1542	5	start	start	VB
20165	1542	6	with	with	IN
20165	1542	7	we	-PRON-	PRP
20165	1542	8	produce	produce	VBP
20165	1542	9	its	-PRON-	PRP$
20165	1542	10	sides	side	NNS
20165	1542	11	right	right	JJ
20165	1542	12	and	and	CC
20165	1542	13	left	leave	VBD
20165	1542	14	,	,	,
20165	1542	15	but	but	CC
20165	1542	16	first	first	RB
20165	1542	17	to	to	IN
20165	1542	18	the	the	DT
20165	1542	19	left	left	NN
20165	1542	20	to	to	TO
20165	1542	21	find	find	VB
20165	1542	22	point	point	NN
20165	1542	23	_	_	NNP
20165	1542	24	G	G	NNP
20165	1542	25	_	_	NNP
20165	1542	26	,	,	,
20165	1542	27	the	the	DT
20165	1542	28	vanishing	vanish	VBG
20165	1542	29	point	point	NN
20165	1542	30	of	of	IN
20165	1542	31	the	the	DT
20165	1542	32	diagonals	diagonal	NNS
20165	1542	33	.	.	.
20165	1543	1	Those	those	DT
20165	1543	2	to	to	IN
20165	1543	3	the	the	DT
20165	1543	4	right	right	NN
20165	1543	5	,	,	,
20165	1543	6	if	if	IN
20165	1543	7	produced	produce	VBN
20165	1543	8	far	far	RB
20165	1543	9	enough	enough	RB
20165	1543	10	,	,	,
20165	1543	11	would	would	MD
20165	1543	12	meet	meet	VB
20165	1543	13	at	at	IN
20165	1543	14	a	a	DT
20165	1543	15	distant	distant	JJ
20165	1543	16	vanishing	vanishing	NN
20165	1543	17	point	point	NN
20165	1543	18	not	not	RB
20165	1543	19	in	in	IN
20165	1543	20	the	the	DT
20165	1543	21	picture	picture	NN
20165	1543	22	.	.	.
20165	1544	1	But	but	CC
20165	1544	2	the	the	DT
20165	1544	3	student	student	NN
20165	1544	4	should	should	MD
20165	1544	5	study	study	VB
20165	1544	6	this	this	DT
20165	1544	7	figure	figure	NN
20165	1544	8	for	for	IN
20165	1544	9	himself	-PRON-	PRP
20165	1544	10	,	,	,
20165	1544	11	and	and	CC
20165	1544	12	refer	refer	VB
20165	1544	13	back	back	RB
20165	1544	14	to	to	IN
20165	1544	15	Figs	Figs	NNP
20165	1544	16	.	.	.
20165	1545	1	204	204	CD
20165	1545	2	and	and	CC
20165	1545	3	205	205	CD
20165	1545	4	.	.	.
20165	1546	1	[	[	-LRB-
20165	1546	2	Illustration	illustration	NN
20165	1546	3	:	:	:
20165	1546	4	Fig	Fig	NNP
20165	1546	5	.	.	.
20165	1547	1	210	210	CD
20165	1547	2	.	.	.
20165	1547	3	]	]	-RRB-
20165	1548	1	CXVII	CXVII	NNP
20165	1548	2	FURTHER	further	JJ
20165	1548	3	ILLUSTRATION	ILLUSTRATION	NNP
20165	1548	4	OF	of	IN
20165	1548	5	THE	the	DT
20165	1548	6	HEXAGON	HEXAGON	NNP
20165	1548	7	[	[	-LRB-
20165	1548	8	Illustration	illustration	NN
20165	1548	9	:	:	:
20165	1548	10	Fig	Fig	NNP
20165	1548	11	.	.	.
20165	1549	1	211	211	CD
20165	1549	2	A.	a.	NN
20165	1549	3	]	]	-RRB-
20165	1550	1	[	[	-LRB-
20165	1550	2	Illustration	illustration	NN
20165	1550	3	:	:	:
20165	1550	4	Fig	Fig	NNP
20165	1550	5	.	.	.
20165	1551	1	211	211	CD
20165	1551	2	B.	B.	NNP
20165	1551	3	]	]	-RRB-
20165	1552	1	To	to	TO
20165	1552	2	draw	draw	VB
20165	1552	3	the	the	DT
20165	1552	4	hexagon	hexagon	NN
20165	1552	5	in	in	IN
20165	1552	6	perspective	perspective	NN
20165	1552	7	we	-PRON-	PRP
20165	1552	8	must	must	MD
20165	1552	9	first	first	RB
20165	1552	10	find	find	VB
20165	1552	11	the	the	DT
20165	1552	12	rectangle	rectangle	NN
20165	1552	13	in	in	IN
20165	1552	14	which	which	WDT
20165	1552	15	it	-PRON-	PRP
20165	1552	16	is	be	VBZ
20165	1552	17	inscribed	inscribe	VBN
20165	1552	18	,	,	,
20165	1552	19	according	accord	VBG
20165	1552	20	to	to	IN
20165	1552	21	the	the	DT
20165	1552	22	view	view	NN
20165	1552	23	we	-PRON-	PRP
20165	1552	24	take	take	VBP
20165	1552	25	of	of	IN
20165	1552	26	it	-PRON-	PRP
20165	1552	27	.	.	.
20165	1553	1	That	that	IN
20165	1553	2	at	at	IN
20165	1553	3	_	_	NNP
20165	1553	4	A	A	NNP
20165	1553	5	_	_	NNP
20165	1553	6	we	-PRON-	PRP
20165	1553	7	have	have	VBP
20165	1553	8	already	already	RB
20165	1553	9	drawn	draw	VBN
20165	1553	10	.	.	.
20165	1554	1	We	-PRON-	PRP
20165	1554	2	will	will	MD
20165	1554	3	now	now	RB
20165	1554	4	work	work	VB
20165	1554	5	out	out	RP
20165	1554	6	that	that	IN
20165	1554	7	at	at	IN
20165	1554	8	_	_	NNP
20165	1554	9	B	B	NNP
20165	1554	10	_	_	NNP
20165	1554	11	.	.	.
20165	1555	1	Divide	divide	VB
20165	1555	2	the	the	DT
20165	1555	3	base	base	NN
20165	1555	4	_	_	NNP
20165	1555	5	AD	AD	NNP
20165	1555	6	_	_	NNP
20165	1555	7	into	into	IN
20165	1555	8	four	four	CD
20165	1555	9	equal	equal	JJ
20165	1555	10	parts	part	NNS
20165	1555	11	and	and	CC
20165	1555	12	transfer	transfer	VB
20165	1555	13	those	those	DT
20165	1555	14	measurements	measurement	NNS
20165	1555	15	to	to	IN
20165	1555	16	the	the	DT
20165	1555	17	perspective	perspective	JJ
20165	1555	18	figure	figure	NN
20165	1555	19	_	_	NNP
20165	1555	20	C	C	NNP
20165	1555	21	_	_	NNP
20165	1555	22	,	,	,
20165	1555	23	as	as	IN
20165	1555	24	at	at	IN
20165	1555	25	_	_	NNP
20165	1555	26	AD	AD	NNP
20165	1555	27	_	_	NNP
20165	1555	28	,	,	,
20165	1555	29	measuring	measure	VBG
20165	1555	30	other	other	JJ
20165	1555	31	equal	equal	JJ
20165	1555	32	spaces	space	NNS
20165	1555	33	along	along	IN
20165	1555	34	the	the	DT
20165	1555	35	base	base	NN
20165	1555	36	.	.	.
20165	1556	1	To	to	TO
20165	1556	2	find	find	VB
20165	1556	3	the	the	DT
20165	1556	4	depth	depth	NN
20165	1556	5	_	_	NNP
20165	1556	6	An	An	NNP
20165	1556	7	_	_	NNP
20165	1556	8	of	of	IN
20165	1556	9	the	the	DT
20165	1556	10	rectangle	rectangle	NN
20165	1556	11	,	,	,
20165	1556	12	make	make	VBP
20165	1556	13	_	_	NNP
20165	1556	14	DK	DK	NNP
20165	1556	15	_	_	NNP
20165	1556	16	equal	equal	JJ
20165	1556	17	to	to	IN
20165	1556	18	base	base	NN
20165	1556	19	of	of	IN
20165	1556	20	square	square	NN
20165	1556	21	.	.	.
20165	1557	1	Draw	Draw	NNP
20165	1557	2	_	_	NNP
20165	1557	3	KO	KO	NNP
20165	1557	4	_	_	NNP
20165	1557	5	to	to	IN
20165	1557	6	distance	distance	NN
20165	1557	7	-	-	HYPH
20165	1557	8	point	point	NN
20165	1557	9	,	,	,
20165	1557	10	cutting	cut	VBG
20165	1557	11	_	_	NNP
20165	1557	12	DO	DO	NNP
20165	1557	13	_	_	NNP
20165	1557	14	at	at	IN
20165	1557	15	_	_	NNP
20165	1557	16	O	O	NNP
20165	1557	17	_	_	NNP
20165	1557	18	,	,	,
20165	1557	19	and	and	CC
20165	1557	20	thus	thus	RB
20165	1557	21	find	find	VB
20165	1557	22	line	line	NN
20165	1557	23	_	_	NNP
20165	1557	24	LO	LO	NNP
20165	1557	25	_	_	NNP
20165	1557	26	.	.	.
20165	1558	1	Draw	draw	VB
20165	1558	2	diagonal	diagonal	JJ
20165	1558	3	_	_	NNP
20165	1558	4	Dn	Dn	NNP
20165	1558	5	_	_	NNP
20165	1558	6	,	,	,
20165	1558	7	and	and	CC
20165	1558	8	through	through	IN
20165	1558	9	its	-PRON-	PRP$
20165	1558	10	intersections	intersection	NNS
20165	1558	11	with	with	IN
20165	1558	12	the	the	DT
20165	1558	13	lines	line	NNS
20165	1558	14	1	1	CD
20165	1558	15	,	,	,
20165	1558	16	2	2	CD
20165	1558	17	,	,	,
20165	1558	18	3	3	CD
20165	1558	19	,	,	,
20165	1558	20	4	4	CD
20165	1558	21	draw	draw	VBP
20165	1558	22	lines	line	NNS
20165	1558	23	parallel	parallel	JJ
20165	1558	24	to	to	IN
20165	1558	25	the	the	DT
20165	1558	26	base	base	NN
20165	1558	27	,	,	,
20165	1558	28	and	and	CC
20165	1558	29	we	-PRON-	PRP
20165	1558	30	shall	shall	MD
20165	1558	31	thus	thus	RB
20165	1558	32	have	have	VB
20165	1558	33	the	the	DT
20165	1558	34	framework	framework	NN
20165	1558	35	,	,	,
20165	1558	36	as	as	IN
20165	1558	37	it	-PRON-	PRP
20165	1558	38	were	be	VBD
20165	1558	39	,	,	,
20165	1558	40	by	by	IN
20165	1558	41	which	which	WDT
20165	1558	42	to	to	TO
20165	1558	43	draw	draw	VB
20165	1558	44	the	the	DT
20165	1558	45	pavement	pavement	NN
20165	1558	46	.	.	.
20165	1559	1	[	[	-LRB-
20165	1559	2	Illustration	illustration	NN
20165	1559	3	:	:	:
20165	1559	4	Fig	Fig	NNP
20165	1559	5	.	.	.
20165	1560	1	212	212	CD
20165	1560	2	.	.	.
20165	1560	3	]	]	-RRB-
20165	1561	1	CXVIII	cxviii	NN
20165	1561	2	ANOTHER	another	DT
20165	1561	3	VIEW	view	NN
20165	1561	4	OF	of	IN
20165	1561	5	THE	the	DT
20165	1561	6	HEXAGON	HEXAGON	NNP
20165	1561	7	IN	in	IN
20165	1561	8	ANGULAR	ANGULAR	NNP
20165	1561	9	PERSPECTIVE	perspective	NN
20165	1561	10	[	[	-LRB-
20165	1561	11	Illustration	illustration	NN
20165	1561	12	:	:	:
20165	1561	13	Fig	Fig	NNP
20165	1561	14	.	.	.
20165	1562	1	213	213	CD
20165	1562	2	.	.	.
20165	1562	3	]	]	-RRB-
20165	1563	1	Given	give	VBN
20165	1563	2	the	the	DT
20165	1563	3	rectangle	rectangle	NNP
20165	1563	4	_	_	NNP
20165	1563	5	ABCD	ABCD	NNP
20165	1563	6	_	_	NNP
20165	1563	7	in	in	IN
20165	1563	8	angular	angular	JJ
20165	1563	9	perspective	perspective	NN
20165	1563	10	,	,	,
20165	1563	11	produce	produce	VBP
20165	1563	12	side	side	NN
20165	1563	13	_	_	NNP
20165	1563	14	DA	DA	NNP
20165	1563	15	_	_	NNP
20165	1563	16	to	to	IN
20165	1563	17	_	_	NNP
20165	1563	18	E	E	NNP
20165	1563	19	_	_	NNP
20165	1563	20	on	on	IN
20165	1563	21	base	base	NN
20165	1563	22	line	line	NN
20165	1563	23	.	.	.
20165	1564	1	Divide	Divide	NNP
20165	1564	2	_	_	NNP
20165	1564	3	EB	EB	NNP
20165	1564	4	_	_	NNP
20165	1564	5	into	into	IN
20165	1564	6	four	four	CD
20165	1564	7	equal	equal	JJ
20165	1564	8	parts	part	NNS
20165	1564	9	,	,	,
20165	1564	10	and	and	CC
20165	1564	11	from	from	IN
20165	1564	12	each	each	DT
20165	1564	13	division	division	NN
20165	1564	14	draw	draw	VBP
20165	1564	15	lines	line	NNS
20165	1564	16	to	to	IN
20165	1564	17	vanishing	vanish	VBG
20165	1564	18	point	point	NN
20165	1564	19	,	,	,
20165	1564	20	then	then	RB
20165	1564	21	by	by	IN
20165	1564	22	means	mean	NNS
20165	1564	23	of	of	IN
20165	1564	24	diagonals	diagonal	NNS
20165	1564	25	,	,	,
20165	1564	26	&	&	CC
20165	1564	27	c.	c.	NNP
20165	1564	28	,	,	,
20165	1564	29	draw	draw	VB
20165	1564	30	the	the	DT
20165	1564	31	hexagon	hexagon	NNP
20165	1564	32	.	.	.
20165	1565	1	In	in	IN
20165	1565	2	Fig	Fig	NNP
20165	1565	3	.	.	.
20165	1566	1	214	214	CD
20165	1566	2	we	-PRON-	PRP
20165	1566	3	have	have	VBP
20165	1566	4	first	first	RB
20165	1566	5	drawn	draw	VBN
20165	1566	6	a	a	DT
20165	1566	7	geometrical	geometrical	JJ
20165	1566	8	plan	plan	NN
20165	1566	9	,	,	,
20165	1566	10	_	_	NNP
20165	1566	11	G	G	NNP
20165	1566	12	_	_	NNP
20165	1566	13	,	,	,
20165	1566	14	for	for	IN
20165	1566	15	the	the	DT
20165	1566	16	sake	sake	NN
20165	1566	17	of	of	IN
20165	1566	18	clearness	clearness	NN
20165	1566	19	,	,	,
20165	1566	20	but	but	CC
20165	1566	21	the	the	DT
20165	1566	22	one	one	CD
20165	1566	23	above	above	RB
20165	1566	24	shows	show	VBZ
20165	1566	25	that	that	IN
20165	1566	26	this	this	DT
20165	1566	27	is	be	VBZ
20165	1566	28	not	not	RB
20165	1566	29	necessary	necessary	JJ
20165	1566	30	.	.	.
20165	1567	1	[	[	-LRB-
20165	1567	2	Illustration	illustration	NN
20165	1567	3	:	:	:
20165	1567	4	Fig	Fig	NNP
20165	1567	5	.	.	.
20165	1568	1	214	214	CD
20165	1568	2	.	.	.
20165	1568	3	]	]	-RRB-
20165	1569	1	To	to	TO
20165	1569	2	raise	raise	VB
20165	1569	3	the	the	DT
20165	1569	4	hexagonal	hexagonal	JJ
20165	1569	5	figure	figure	NN
20165	1569	6	_	_	NNP
20165	1569	7	K	K	NNP
20165	1569	8	_	_	NNP
20165	1569	9	we	-PRON-	PRP
20165	1569	10	have	have	VBP
20165	1569	11	made	make	VBN
20165	1569	12	use	use	NN
20165	1569	13	of	of	IN
20165	1569	14	the	the	DT
20165	1569	15	vanishing	vanish	VBG
20165	1569	16	scale	scale	NN
20165	1569	17	_	_	NNP
20165	1569	18	O	O	NNP
20165	1569	19	_	_	NNP
20165	1569	20	and	and	CC
20165	1569	21	the	the	DT
20165	1569	22	vanishing	vanish	VBG
20165	1569	23	point	point	NN
20165	1569	24	_	_	NNP
20165	1569	25	V	V	NNP
20165	1569	26	_	_	NNP
20165	1569	27	.	.	.
20165	1570	1	Another	another	DT
20165	1570	2	method	method	NN
20165	1570	3	could	could	MD
20165	1570	4	be	be	VB
20165	1570	5	used	use	VBN
20165	1570	6	by	by	IN
20165	1570	7	drawing	draw	VBG
20165	1570	8	two	two	CD
20165	1570	9	hexagons	hexagon	NNS
20165	1570	10	one	one	CD
20165	1570	11	over	over	IN
20165	1570	12	the	the	DT
20165	1570	13	other	other	JJ
20165	1570	14	at	at	IN
20165	1570	15	the	the	DT
20165	1570	16	required	require	VBN
20165	1570	17	height	height	NN
20165	1570	18	.	.	.
20165	1571	1	CXIX	cxix	NN
20165	1571	2	APPLICATION	application	NN
20165	1571	3	OF	of	IN
20165	1571	4	THE	the	DT
20165	1571	5	HEXAGON	HEXAGON	NNP
20165	1571	6	TO	to	TO
20165	1571	7	DRAWING	draw	VBG
20165	1571	8	A	a	DT
20165	1571	9	KIOSK	kiosk	NN
20165	1571	10	[	[	-LRB-
20165	1571	11	Illustration	illustration	NN
20165	1571	12	:	:	:
20165	1571	13	Fig	Fig	NNP
20165	1571	14	.	.	.
20165	1572	1	215	215	CD
20165	1572	2	.	.	.
20165	1572	3	]	]	-RRB-
20165	1573	1	This	this	DT
20165	1573	2	figure	figure	NN
20165	1573	3	is	be	VBZ
20165	1573	4	built	build	VBN
20165	1573	5	up	up	RP
20165	1573	6	from	from	IN
20165	1573	7	the	the	DT
20165	1573	8	hexagon	hexagon	NNP
20165	1573	9	standing	stand	VBG
20165	1573	10	on	on	IN
20165	1573	11	a	a	DT
20165	1573	12	rectangular	rectangular	JJ
20165	1573	13	base	base	NN
20165	1573	14	,	,	,
20165	1573	15	from	from	IN
20165	1573	16	which	which	WDT
20165	1573	17	we	-PRON-	PRP
20165	1573	18	have	have	VBP
20165	1573	19	raised	raise	VBN
20165	1573	20	verticals	vertical	NNS
20165	1573	21	,	,	,
20165	1573	22	&	&	CC
20165	1573	23	c.	c.	NNP
20165	1573	24	Note	Note	NNP
20165	1573	25	how	how	WRB
20165	1573	26	the	the	DT
20165	1573	27	jutting	jut	VBG
20165	1573	28	portions	portion	NNS
20165	1573	29	of	of	IN
20165	1573	30	the	the	DT
20165	1573	31	roof	roof	NN
20165	1573	32	are	be	VBP
20165	1573	33	drawn	draw	VBN
20165	1573	34	from	from	IN
20165	1573	35	_	_	NNP
20165	1573	36	o	o	NNP
20165	1573	37	·	·	NFP
20165	1573	38	_	_	XX
20165	1573	39	.	.	.
20165	1574	1	But	but	CC
20165	1574	2	the	the	DT
20165	1574	3	figure	figure	NN
20165	1574	4	explains	explain	VBZ
20165	1574	5	itself	-PRON-	PRP
20165	1574	6	,	,	,
20165	1574	7	so	so	CC
20165	1574	8	there	there	EX
20165	1574	9	is	be	VBZ
20165	1574	10	no	no	DT
20165	1574	11	necessity	necessity	NN
20165	1574	12	to	to	TO
20165	1574	13	repeat	repeat	VB
20165	1574	14	descriptions	description	NNS
20165	1574	15	already	already	RB
20165	1574	16	given	give	VBN
20165	1574	17	in	in	IN
20165	1574	18	the	the	DT
20165	1574	19	foregoing	foregoing	NN
20165	1574	20	problems	problem	NNS
20165	1574	21	.	.	.
20165	1575	1	CXX	CXX	NNP
20165	1575	2	THE	the	DT
20165	1575	3	PENTAGON	PENTAGON	NNP
20165	1575	4	[	[	-LRB-
20165	1575	5	Illustration	illustration	NN
20165	1575	6	:	:	:
20165	1575	7	Fig	Fig	NNP
20165	1575	8	.	.	.
20165	1576	1	216	216	CD
20165	1576	2	.	.	.
20165	1576	3	]	]	-RRB-
20165	1577	1	The	the	DT
20165	1577	2	pentagon	pentagon	NNP
20165	1577	3	is	be	VBZ
20165	1577	4	a	a	DT
20165	1577	5	figure	figure	NN
20165	1577	6	with	with	IN
20165	1577	7	five	five	CD
20165	1577	8	equal	equal	JJ
20165	1577	9	sides	side	NNS
20165	1577	10	,	,	,
20165	1577	11	and	and	CC
20165	1577	12	if	if	IN
20165	1577	13	inscribed	inscribe	VBN
20165	1577	14	in	in	IN
20165	1577	15	a	a	DT
20165	1577	16	circle	circle	NN
20165	1577	17	will	will	MD
20165	1577	18	touch	touch	VB
20165	1577	19	its	-PRON-	PRP$
20165	1577	20	circumference	circumference	NN
20165	1577	21	at	at	IN
20165	1577	22	five	five	CD
20165	1577	23	equidistant	equidistant	NN
20165	1577	24	points	point	NNS
20165	1577	25	.	.	.
20165	1578	1	With	with	IN
20165	1578	2	any	any	DT
20165	1578	3	convenient	convenient	JJ
20165	1578	4	radius	radius	NN
20165	1578	5	describe	describe	NNP
20165	1578	6	circle	circle	NN
20165	1578	7	.	.	.
20165	1579	1	From	from	IN
20165	1579	2	half	half	PDT
20165	1579	3	this	this	DT
20165	1579	4	radius	radius	NN
20165	1579	5	,	,	,
20165	1579	6	marked	mark	VBD
20165	1579	7	1	1	CD
20165	1579	8	,	,	,
20165	1579	9	draw	draw	VB
20165	1579	10	a	a	DT
20165	1579	11	line	line	NN
20165	1579	12	to	to	IN
20165	1579	13	apex	apex	NNP
20165	1579	14	,	,	,
20165	1579	15	marked	mark	VBD
20165	1579	16	2	2	CD
20165	1579	17	.	.	.
20165	1580	1	Again	again	RB
20165	1580	2	,	,	,
20165	1580	3	with	with	IN
20165	1580	4	1	1	CD
20165	1580	5	as	as	IN
20165	1580	6	centre	centre	NN
20165	1580	7	and	and	CC
20165	1580	8	1	1	CD
20165	1580	9	2	2	CD
20165	1580	10	as	as	IN
20165	1580	11	radius	radius	NN
20165	1580	12	,	,	,
20165	1580	13	describe	describe	VB
20165	1580	14	arc	arc	NNP
20165	1580	15	2	2	CD
20165	1580	16	3	3	CD
20165	1580	17	.	.	.
20165	1581	1	Now	now	RB
20165	1581	2	with	with	IN
20165	1581	3	2	2	CD
20165	1581	4	as	as	IN
20165	1581	5	centre	centre	NN
20165	1581	6	and	and	CC
20165	1581	7	2	2	CD
20165	1581	8	3	3	CD
20165	1581	9	as	as	IN
20165	1581	10	radius	radius	NN
20165	1581	11	describe	describe	VBP
20165	1581	12	arc	arc	NNP
20165	1581	13	3	3	CD
20165	1581	14	4	4	CD
20165	1581	15	,	,	,
20165	1581	16	which	which	WDT
20165	1581	17	will	will	MD
20165	1581	18	cut	cut	VB
20165	1581	19	the	the	DT
20165	1581	20	circumference	circumference	NN
20165	1581	21	at	at	IN
20165	1581	22	point	point	NN
20165	1581	23	4	4	CD
20165	1581	24	.	.	.
20165	1582	1	Then	then	RB
20165	1582	2	line	line	NN
20165	1582	3	2	2	CD
20165	1582	4	4	4	CD
20165	1582	5	will	will	MD
20165	1582	6	be	be	VB
20165	1582	7	one	one	CD
20165	1582	8	of	of	IN
20165	1582	9	the	the	DT
20165	1582	10	sides	side	NNS
20165	1582	11	of	of	IN
20165	1582	12	the	the	DT
20165	1582	13	pentagon	pentagon	NNP
20165	1582	14	,	,	,
20165	1582	15	which	which	WDT
20165	1582	16	we	-PRON-	PRP
20165	1582	17	can	can	MD
20165	1582	18	measure	measure	VB
20165	1582	19	round	round	IN
20165	1582	20	the	the	DT
20165	1582	21	circle	circle	NN
20165	1582	22	and	and	CC
20165	1582	23	so	so	RB
20165	1582	24	produce	produce	VB
20165	1582	25	the	the	DT
20165	1582	26	required	require	VBN
20165	1582	27	figure	figure	NN
20165	1582	28	.	.	.
20165	1583	1	To	to	TO
20165	1583	2	put	put	VB
20165	1583	3	this	this	DT
20165	1583	4	pentagon	pentagon	NNP
20165	1583	5	into	into	IN
20165	1583	6	parallel	parallel	JJ
20165	1583	7	perspective	perspective	NN
20165	1583	8	inscribe	inscribe	VBP
20165	1583	9	the	the	DT
20165	1583	10	circle	circle	NN
20165	1583	11	in	in	IN
20165	1583	12	which	which	WDT
20165	1583	13	it	-PRON-	PRP
20165	1583	14	is	be	VBZ
20165	1583	15	drawn	draw	VBN
20165	1583	16	in	in	IN
20165	1583	17	a	a	DT
20165	1583	18	square	square	NN
20165	1583	19	,	,	,
20165	1583	20	and	and	CC
20165	1583	21	from	from	IN
20165	1583	22	its	-PRON-	PRP$
20165	1583	23	five	five	CD
20165	1583	24	angles	angle	NNS
20165	1583	25	4	4	CD
20165	1583	26	,	,	,
20165	1583	27	2	2	CD
20165	1583	28	,	,	,
20165	1583	29	4	4	CD
20165	1583	30	,	,	,
20165	1583	31	&	&	CC
20165	1583	32	c.	c.	NNP
20165	1583	33	,	,	,
20165	1583	34	drop	drop	VB
20165	1583	35	perpendiculars	perpendicular	NNS
20165	1583	36	to	to	TO
20165	1583	37	base	base	VB
20165	1583	38	and	and	CC
20165	1583	39	number	number	VB
20165	1583	40	them	-PRON-	PRP
20165	1583	41	as	as	IN
20165	1583	42	in	in	IN
20165	1583	43	the	the	DT
20165	1583	44	figure	figure	NN
20165	1583	45	.	.	.
20165	1584	1	Then	then	RB
20165	1584	2	draw	draw	VB
20165	1584	3	the	the	DT
20165	1584	4	perspective	perspective	NN
20165	1584	5	square	square	NN
20165	1584	6	(	(	-LRB-
20165	1584	7	Fig	fig	NN
20165	1584	8	.	.	.
20165	1585	1	217	217	CD
20165	1585	2	)	)	-RRB-
20165	1585	3	and	and	CC
20165	1585	4	transfer	transfer	VB
20165	1585	5	these	these	DT
20165	1585	6	measurements	measurement	NNS
20165	1585	7	to	to	IN
20165	1585	8	its	-PRON-	PRP$
20165	1585	9	base	base	NN
20165	1585	10	.	.	.
20165	1586	1	From	from	IN
20165	1586	2	these	these	DT
20165	1586	3	draw	draw	NN
20165	1586	4	lines	line	NNS
20165	1586	5	to	to	TO
20165	1586	6	point	point	NN
20165	1586	7	of	of	IN
20165	1586	8	sight	sight	NN
20165	1586	9	,	,	,
20165	1586	10	then	then	RB
20165	1586	11	by	by	IN
20165	1586	12	their	-PRON-	PRP$
20165	1586	13	aid	aid	NN
20165	1586	14	and	and	CC
20165	1586	15	the	the	DT
20165	1586	16	two	two	CD
20165	1586	17	diagonals	diagonal	NNS
20165	1586	18	proceed	proceed	VBP
20165	1586	19	to	to	TO
20165	1586	20	construct	construct	VB
20165	1586	21	the	the	DT
20165	1586	22	pentagon	pentagon	NNP
20165	1586	23	in	in	IN
20165	1586	24	the	the	DT
20165	1586	25	same	same	JJ
20165	1586	26	way	way	NN
20165	1586	27	that	that	WDT
20165	1586	28	we	-PRON-	PRP
20165	1586	29	did	do	VBD
20165	1586	30	the	the	DT
20165	1586	31	triangles	triangle	NNS
20165	1586	32	and	and	CC
20165	1586	33	other	other	JJ
20165	1586	34	figures	figure	NNS
20165	1586	35	.	.	.
20165	1587	1	Should	Should	MD
20165	1587	2	it	-PRON-	PRP
20165	1587	3	be	be	VB
20165	1587	4	required	require	VBN
20165	1587	5	to	to	TO
20165	1587	6	place	place	VB
20165	1587	7	this	this	DT
20165	1587	8	pentagon	pentagon	NNP
20165	1587	9	in	in	IN
20165	1587	10	the	the	DT
20165	1587	11	opposite	opposite	JJ
20165	1587	12	position	position	NN
20165	1587	13	,	,	,
20165	1587	14	then	then	RB
20165	1587	15	we	-PRON-	PRP
20165	1587	16	can	can	MD
20165	1587	17	transfer	transfer	VB
20165	1587	18	our	-PRON-	PRP$
20165	1587	19	measurements	measurement	NNS
20165	1587	20	to	to	IN
20165	1587	21	the	the	DT
20165	1587	22	far	far	JJ
20165	1587	23	side	side	NN
20165	1587	24	of	of	IN
20165	1587	25	the	the	DT
20165	1587	26	square	square	NN
20165	1587	27	,	,	,
20165	1587	28	as	as	IN
20165	1587	29	in	in	IN
20165	1587	30	Fig	Fig	NNP
20165	1587	31	.	.	.
20165	1588	1	218	218	CD
20165	1588	2	.	.	.
20165	1589	1	[	[	-LRB-
20165	1589	2	Illustration	illustration	NN
20165	1589	3	:	:	:
20165	1589	4	Fig	Fig	NNP
20165	1589	5	.	.	.
20165	1590	1	217	217	CD
20165	1590	2	.	.	.
20165	1590	3	]	]	-RRB-
20165	1591	1	[	[	-LRB-
20165	1591	2	Illustration	illustration	NN
20165	1591	3	:	:	:
20165	1591	4	Fig	Fig	NNP
20165	1591	5	.	.	.
20165	1592	1	218	218	CD
20165	1592	2	.	.	.
20165	1592	3	]	]	-RRB-
20165	1593	1	Or	or	CC
20165	1593	2	if	if	IN
20165	1593	3	we	-PRON-	PRP
20165	1593	4	wish	wish	VBP
20165	1593	5	to	to	TO
20165	1593	6	put	put	VB
20165	1593	7	it	-PRON-	PRP
20165	1593	8	into	into	IN
20165	1593	9	angular	angular	JJ
20165	1593	10	perspective	perspective	NN
20165	1593	11	we	-PRON-	PRP
20165	1593	12	adopt	adopt	VBP
20165	1593	13	the	the	DT
20165	1593	14	same	same	JJ
20165	1593	15	method	method	NN
20165	1593	16	as	as	IN
20165	1593	17	with	with	IN
20165	1593	18	the	the	DT
20165	1593	19	hexagon	hexagon	NNP
20165	1593	20	,	,	,
20165	1593	21	as	as	IN
20165	1593	22	shown	show	VBN
20165	1593	23	at	at	IN
20165	1593	24	Fig	Fig	NNP
20165	1593	25	.	.	.
20165	1594	1	219	219	CD
20165	1594	2	.	.	.
20165	1595	1	[	[	-LRB-
20165	1595	2	Illustration	illustration	NN
20165	1595	3	:	:	:
20165	1595	4	Fig	Fig	NNP
20165	1595	5	.	.	.
20165	1596	1	219	219	CD
20165	1596	2	.	.	.
20165	1596	3	]	]	-RRB-
20165	1597	1	Another	another	DT
20165	1597	2	way	way	NN
20165	1597	3	of	of	IN
20165	1597	4	drawing	draw	VBG
20165	1597	5	a	a	DT
20165	1597	6	pentagon	pentagon	NNP
20165	1597	7	(	(	-LRB-
20165	1597	8	Fig	fig	NN
20165	1597	9	.	.	.
20165	1598	1	220	220	CD
20165	1598	2	)	)	-RRB-
20165	1598	3	is	be	VBZ
20165	1598	4	to	to	TO
20165	1598	5	draw	draw	VB
20165	1598	6	an	an	DT
20165	1598	7	isosceles	isoscele	NNS
20165	1598	8	triangle	triangle	VB
20165	1598	9	with	with	IN
20165	1598	10	an	an	DT
20165	1598	11	angle	angle	NN
20165	1598	12	of	of	IN
20165	1598	13	36	36	CD
20165	1598	14	°	°	NNS
20165	1598	15	at	at	IN
20165	1598	16	its	-PRON-	PRP$
20165	1598	17	apex	apex	NN
20165	1598	18	,	,	,
20165	1598	19	and	and	CC
20165	1598	20	from	from	IN
20165	1598	21	centre	centre	NN
20165	1598	22	of	of	IN
20165	1598	23	each	each	DT
20165	1598	24	side	side	NN
20165	1598	25	of	of	IN
20165	1598	26	the	the	DT
20165	1598	27	triangle	triangle	NN
20165	1598	28	draw	draw	VB
20165	1598	29	perpendiculars	perpendicular	NNS
20165	1598	30	to	to	TO
20165	1598	31	meet	meet	VB
20165	1598	32	at	at	IN
20165	1598	33	_	_	NNP
20165	1598	34	o	o	NNP
20165	1598	35	_	_	NNP
20165	1598	36	,	,	,
20165	1598	37	which	which	WDT
20165	1598	38	will	will	MD
20165	1598	39	be	be	VB
20165	1598	40	the	the	DT
20165	1598	41	centre	centre	NN
20165	1598	42	of	of	IN
20165	1598	43	the	the	DT
20165	1598	44	circle	circle	NN
20165	1598	45	in	in	IN
20165	1598	46	which	which	WDT
20165	1598	47	it	-PRON-	PRP
20165	1598	48	is	be	VBZ
20165	1598	49	inscribed	inscribe	VBN
20165	1598	50	.	.	.
20165	1599	1	From	from	IN
20165	1599	2	this	this	DT
20165	1599	3	centre	centre	NN
20165	1599	4	and	and	CC
20165	1599	5	with	with	IN
20165	1599	6	radius	radius	NN
20165	1599	7	_	_	NNP
20165	1599	8	OA	OA	NNP
20165	1599	9	_	_	NNP
20165	1599	10	describe	describe	VBP
20165	1599	11	circle	circle	NN
20165	1599	12	A	a	NN
20165	1599	13	3	3	CD
20165	1599	14	2	2	CD
20165	1599	15	,	,	,
20165	1599	16	&	&	CC
20165	1599	17	c.	c.	NNP
20165	1599	18	Take	take	VB
20165	1599	19	base	base	NN
20165	1599	20	of	of	IN
20165	1599	21	triangle	triangle	NNP
20165	1599	22	1	1	CD
20165	1599	23	2	2	CD
20165	1599	24	,	,	,
20165	1599	25	measure	measure	VB
20165	1599	26	it	-PRON-	PRP
20165	1599	27	round	round	IN
20165	1599	28	the	the	DT
20165	1599	29	circle	circle	NN
20165	1599	30	,	,	,
20165	1599	31	and	and	CC
20165	1599	32	so	so	RB
20165	1599	33	find	find	VB
20165	1599	34	the	the	DT
20165	1599	35	five	five	CD
20165	1599	36	points	point	NNS
20165	1599	37	through	through	IN
20165	1599	38	which	which	WDT
20165	1599	39	to	to	TO
20165	1599	40	draw	draw	VB
20165	1599	41	the	the	DT
20165	1599	42	pentagon	pentagon	NNP
20165	1599	43	.	.	.
20165	1600	1	The	the	DT
20165	1600	2	angles	angle	NNS
20165	1600	3	at	at	IN
20165	1600	4	1	1	CD
20165	1600	5	2	2	CD
20165	1600	6	will	will	MD
20165	1600	7	each	each	DT
20165	1600	8	be	be	VB
20165	1600	9	72	72	CD
20165	1600	10	°	°	NNS
20165	1600	11	,	,	,
20165	1600	12	double	double	PDT
20165	1600	13	that	that	DT
20165	1600	14	at	at	IN
20165	1600	15	_	_	NNP
20165	1600	16	A	A	NNP
20165	1600	17	_	_	NNP
20165	1600	18	,	,	,
20165	1600	19	which	which	WDT
20165	1600	20	is	be	VBZ
20165	1600	21	36	36	CD
20165	1600	22	°	°	NNS
20165	1600	23	.	.	.
20165	1601	1	[	[	-LRB-
20165	1601	2	Illustration	illustration	NN
20165	1601	3	:	:	:
20165	1601	4	Fig	Fig	NNP
20165	1601	5	.	.	.
20165	1602	1	220	220	CD
20165	1602	2	.	.	.
20165	1602	3	]	]	-RRB-
20165	1603	1	CXXI	CXXI	NNP
20165	1603	2	THE	the	DT
20165	1603	3	PYRAMID	PYRAMID	NNP
20165	1603	4	Nothing	nothing	NN
20165	1603	5	can	can	MD
20165	1603	6	be	be	VB
20165	1603	7	more	more	RBR
20165	1603	8	simple	simple	JJ
20165	1603	9	than	than	IN
20165	1603	10	to	to	TO
20165	1603	11	put	put	VB
20165	1603	12	a	a	DT
20165	1603	13	pyramid	pyramid	NN
20165	1603	14	into	into	IN
20165	1603	15	perspective	perspective	NN
20165	1603	16	.	.	.
20165	1604	1	Given	give	VBN
20165	1604	2	the	the	DT
20165	1604	3	base	base	NN
20165	1604	4	(	(	-LRB-
20165	1604	5	_	_	NNP
20165	1604	6	abc	abc	NNP
20165	1604	7	_	_	NNP
20165	1604	8	)	)	-RRB-
20165	1604	9	,	,	,
20165	1604	10	raise	raise	VB
20165	1604	11	from	from	IN
20165	1604	12	its	-PRON-	PRP$
20165	1604	13	centre	centre	NN
20165	1604	14	a	a	DT
20165	1604	15	perpendicular	perpendicular	NN
20165	1604	16	(	(	-LRB-
20165	1604	17	_	_	NNP
20165	1604	18	OP	OP	NNP
20165	1604	19	_	_	NNP
20165	1604	20	)	)	-RRB-
20165	1604	21	of	of	IN
20165	1604	22	the	the	DT
20165	1604	23	required	require	VBN
20165	1604	24	height	height	NN
20165	1604	25	,	,	,
20165	1604	26	then	then	RB
20165	1604	27	draw	draw	VB
20165	1604	28	lines	line	NNS
20165	1604	29	from	from	IN
20165	1604	30	the	the	DT
20165	1604	31	corners	corner	NNS
20165	1604	32	of	of	IN
20165	1604	33	that	that	DT
20165	1604	34	base	base	NN
20165	1604	35	to	to	IN
20165	1604	36	a	a	DT
20165	1604	37	point	point	NN
20165	1604	38	_	_	NNP
20165	1604	39	P	P	NNP
20165	1604	40	_	_	NNP
20165	1604	41	on	on	IN
20165	1604	42	the	the	DT
20165	1604	43	vertical	vertical	JJ
20165	1604	44	line	line	NN
20165	1604	45	,	,	,
20165	1604	46	and	and	CC
20165	1604	47	the	the	DT
20165	1604	48	thing	thing	NN
20165	1604	49	is	be	VBZ
20165	1604	50	done	do	VBN
20165	1604	51	.	.	.
20165	1605	1	These	these	DT
20165	1605	2	pyramids	pyramid	NNS
20165	1605	3	can	can	MD
20165	1605	4	be	be	VB
20165	1605	5	used	use	VBN
20165	1605	6	in	in	IN
20165	1605	7	drawing	draw	VBG
20165	1605	8	roofs	roof	NNS
20165	1605	9	,	,	,
20165	1605	10	steeples	steeple	NNS
20165	1605	11	,	,	,
20165	1605	12	&	&	CC
20165	1605	13	c.	c.	NNP
20165	1605	14	The	the	DT
20165	1605	15	cone	cone	NN
20165	1605	16	is	be	VBZ
20165	1605	17	drawn	draw	VBN
20165	1605	18	in	in	IN
20165	1605	19	the	the	DT
20165	1605	20	same	same	JJ
20165	1605	21	way	way	NN
20165	1605	22	,	,	,
20165	1605	23	so	so	RB
20165	1605	24	also	also	RB
20165	1605	25	is	be	VBZ
20165	1605	26	any	any	DT
20165	1605	27	other	other	JJ
20165	1605	28	figure	figure	NN
20165	1605	29	,	,	,
20165	1605	30	whether	whether	IN
20165	1605	31	octagonal	octagonal	JJ
20165	1605	32	,	,	,
20165	1605	33	hexangular	hexangular	NNP
20165	1605	34	,	,	,
20165	1605	35	triangular	triangular	NNP
20165	1605	36	,	,	,
20165	1605	37	&	&	CC
20165	1605	38	c.	c.	NNP
20165	1605	39	[	[	-LRB-
20165	1605	40	Illustration	illustration	NN
20165	1605	41	:	:	:
20165	1605	42	Fig	Fig	NNP
20165	1605	43	.	.	.
20165	1606	1	221	221	CD
20165	1606	2	.	.	.
20165	1606	3	]	]	-RRB-
20165	1607	1	[	[	-LRB-
20165	1607	2	Illustration	illustration	NN
20165	1607	3	:	:	:
20165	1607	4	Fig	Fig	NNP
20165	1607	5	.	.	.
20165	1608	1	222	222	CD
20165	1608	2	.	.	.
20165	1608	3	]	]	-RRB-
20165	1609	1	[	[	-LRB-
20165	1609	2	Illustration	illustration	NN
20165	1609	3	:	:	:
20165	1609	4	Fig	Fig	NNP
20165	1609	5	.	.	.
20165	1610	1	223	223	CD
20165	1610	2	.	.	.
20165	1610	3	]	]	-RRB-
20165	1611	1	[	[	-LRB-
20165	1611	2	Illustration	illustration	NN
20165	1611	3	:	:	:
20165	1611	4	Fig	Fig	NNP
20165	1611	5	.	.	.
20165	1612	1	224	224	CD
20165	1612	2	.	.	.
20165	1612	3	]	]	-RRB-
20165	1613	1	CXXII	CXXII	VBD
20165	1613	2	THE	the	DT
20165	1613	3	GREAT	great	JJ
20165	1613	4	PYRAMID	PYRAMID	NNP
20165	1613	5	This	this	DT
20165	1613	6	enormous	enormous	JJ
20165	1613	7	structure	structure	NN
20165	1613	8	stands	stand	VBZ
20165	1613	9	on	on	IN
20165	1613	10	a	a	DT
20165	1613	11	square	square	JJ
20165	1613	12	base	base	NN
20165	1613	13	of	of	IN
20165	1613	14	over	over	IN
20165	1613	15	thirteen	thirteen	CD
20165	1613	16	acres	acre	NNS
20165	1613	17	,	,	,
20165	1613	18	each	each	DT
20165	1613	19	side	side	NN
20165	1613	20	of	of	IN
20165	1613	21	which	which	WDT
20165	1613	22	measures	measure	NNS
20165	1613	23	,	,	,
20165	1613	24	or	or	CC
20165	1613	25	did	do	VBD
20165	1613	26	measure	measure	NN
20165	1613	27	,	,	,
20165	1613	28	764	764	CD
20165	1613	29	feet	foot	NNS
20165	1613	30	.	.	.
20165	1614	1	Its	-PRON-	PRP$
20165	1614	2	original	original	JJ
20165	1614	3	height	height	NN
20165	1614	4	was	be	VBD
20165	1614	5	480	480	CD
20165	1614	6	feet	foot	NNS
20165	1614	7	,	,	,
20165	1614	8	each	each	DT
20165	1614	9	side	side	NN
20165	1614	10	being	be	VBG
20165	1614	11	an	an	DT
20165	1614	12	equilateral	equilateral	JJ
20165	1614	13	triangle	triangle	NN
20165	1614	14	.	.	.
20165	1615	1	Let	let	VB
20165	1615	2	us	-PRON-	PRP
20165	1615	3	see	see	VB
20165	1615	4	how	how	WRB
20165	1615	5	we	-PRON-	PRP
20165	1615	6	can	can	MD
20165	1615	7	draw	draw	VB
20165	1615	8	this	this	DT
20165	1615	9	gigantic	gigantic	JJ
20165	1615	10	mass	mass	NN
20165	1615	11	on	on	IN
20165	1615	12	our	-PRON-	PRP$
20165	1615	13	little	little	JJ
20165	1615	14	sheet	sheet	NN
20165	1615	15	of	of	IN
20165	1615	16	paper	paper	NN
20165	1615	17	.	.	.
20165	1616	1	In	in	IN
20165	1616	2	the	the	DT
20165	1616	3	first	first	JJ
20165	1616	4	place	place	NN
20165	1616	5	,	,	,
20165	1616	6	to	to	TO
20165	1616	7	take	take	VB
20165	1616	8	it	-PRON-	PRP
20165	1616	9	all	all	DT
20165	1616	10	in	in	RB
20165	1616	11	at	at	IN
20165	1616	12	one	one	CD
20165	1616	13	view	view	NN
20165	1616	14	we	-PRON-	PRP
20165	1616	15	must	must	MD
20165	1616	16	put	put	VB
20165	1616	17	it	-PRON-	PRP
20165	1616	18	very	very	RB
20165	1616	19	far	far	RB
20165	1616	20	back	back	RB
20165	1616	21	,	,	,
20165	1616	22	and	and	CC
20165	1616	23	in	in	IN
20165	1616	24	the	the	DT
20165	1616	25	second	second	JJ
20165	1616	26	the	the	DT
20165	1616	27	horizon	horizon	NN
20165	1616	28	must	must	MD
20165	1616	29	be	be	VB
20165	1616	30	so	so	RB
20165	1616	31	low	low	JJ
20165	1616	32	down	down	RP
20165	1616	33	that	that	IN
20165	1616	34	we	-PRON-	PRP
20165	1616	35	can	can	MD
20165	1616	36	not	not	RB
20165	1616	37	draw	draw	VB
20165	1616	38	the	the	DT
20165	1616	39	square	square	JJ
20165	1616	40	base	base	NN
20165	1616	41	of	of	IN
20165	1616	42	thirteen	thirteen	CD
20165	1616	43	acres	acre	NNS
20165	1616	44	on	on	IN
20165	1616	45	the	the	DT
20165	1616	46	perspective	perspective	JJ
20165	1616	47	plane	plane	NN
20165	1616	48	,	,	,
20165	1616	49	that	that	WDT
20165	1616	50	is	be	VBZ
20165	1616	51	on	on	IN
20165	1616	52	the	the	DT
20165	1616	53	ground	ground	NN
20165	1616	54	,	,	,
20165	1616	55	so	so	IN
20165	1616	56	we	-PRON-	PRP
20165	1616	57	must	must	MD
20165	1616	58	draw	draw	VB
20165	1616	59	it	-PRON-	PRP
20165	1616	60	in	in	IN
20165	1616	61	the	the	DT
20165	1616	62	air	air	NN
20165	1616	63	,	,	,
20165	1616	64	and	and	CC
20165	1616	65	also	also	RB
20165	1616	66	to	to	IN
20165	1616	67	a	a	DT
20165	1616	68	very	very	RB
20165	1616	69	small	small	JJ
20165	1616	70	scale	scale	NN
20165	1616	71	.	.	.
20165	1617	1	Divide	divide	VB
20165	1617	2	the	the	DT
20165	1617	3	base	base	NN
20165	1617	4	_	_	NNP
20165	1617	5	AB	AB	NNP
20165	1617	6	_	_	NNP
20165	1617	7	into	into	IN
20165	1617	8	ten	ten	CD
20165	1617	9	equal	equal	JJ
20165	1617	10	parts	part	NNS
20165	1617	11	,	,	,
20165	1617	12	and	and	CC
20165	1617	13	suppose	suppose	VB
20165	1617	14	each	each	DT
20165	1617	15	of	of	IN
20165	1617	16	these	these	DT
20165	1617	17	parts	part	NNS
20165	1617	18	to	to	TO
20165	1617	19	measure	measure	VB
20165	1617	20	10	10	CD
20165	1617	21	feet	foot	NNS
20165	1617	22	,	,	,
20165	1617	23	_	_	NNP
20165	1617	24	S	S	NNP
20165	1617	25	_	_	NNP
20165	1617	26	,	,	,
20165	1617	27	the	the	DT
20165	1617	28	point	point	NN
20165	1617	29	of	of	IN
20165	1617	30	sight	sight	NN
20165	1617	31	,	,	,
20165	1617	32	is	be	VBZ
20165	1617	33	placed	place	VBN
20165	1617	34	on	on	IN
20165	1617	35	the	the	DT
20165	1617	36	left	left	NN
20165	1617	37	of	of	IN
20165	1617	38	the	the	DT
20165	1617	39	picture	picture	NN
20165	1617	40	near	near	IN
20165	1617	41	the	the	DT
20165	1617	42	side	side	NN
20165	1617	43	,	,	,
20165	1617	44	in	in	IN
20165	1617	45	order	order	NN
20165	1617	46	that	that	IN
20165	1617	47	we	-PRON-	PRP
20165	1617	48	may	may	MD
20165	1617	49	get	get	VB
20165	1617	50	a	a	DT
20165	1617	51	long	long	JJ
20165	1617	52	line	line	NN
20165	1617	53	of	of	IN
20165	1617	54	distance	distance	NN
20165	1617	55	,	,	,
20165	1617	56	_	_	NNP
20165	1617	57	S	S	NNP
20165	1617	58	½	½	NNP
20165	1617	59	D	D	NNP
20165	1617	60	_	_	NN
20165	1617	61	;	;	:
20165	1617	62	but	but	CC
20165	1617	63	even	even	RB
20165	1617	64	this	this	DT
20165	1617	65	line	line	NN
20165	1617	66	is	be	VBZ
20165	1617	67	only	only	RB
20165	1617	68	half	half	PDT
20165	1617	69	the	the	DT
20165	1617	70	distance	distance	NN
20165	1617	71	we	-PRON-	PRP
20165	1617	72	require	require	VBP
20165	1617	73	.	.	.
20165	1618	1	Let	let	VB
20165	1618	2	us	-PRON-	PRP
20165	1618	3	therefore	therefore	RB
20165	1618	4	take	take	VB
20165	1618	5	the	the	DT
20165	1618	6	16th	16th	JJ
20165	1618	7	distance	distance	NN
20165	1618	8	,	,	,
20165	1618	9	as	as	IN
20165	1618	10	shown	show	VBN
20165	1618	11	in	in	IN
20165	1618	12	our	-PRON-	PRP$
20165	1618	13	previous	previous	JJ
20165	1618	14	illustration	illustration	NN
20165	1618	15	of	of	IN
20165	1618	16	the	the	DT
20165	1618	17	lighthouse	lighthouse	NN
20165	1618	18	(	(	-LRB-
20165	1618	19	Fig	fig	NN
20165	1618	20	.	.	.
20165	1619	1	92	92	CD
20165	1619	2	)	)	-RRB-
20165	1619	3	,	,	,
20165	1619	4	which	which	WDT
20165	1619	5	enables	enable	VBZ
20165	1619	6	us	-PRON-	PRP
20165	1619	7	to	to	TO
20165	1619	8	measure	measure	VB
20165	1619	9	sixteen	sixteen	CD
20165	1619	10	times	time	NNS
20165	1619	11	the	the	DT
20165	1619	12	length	length	NN
20165	1619	13	of	of	IN
20165	1619	14	base	base	NN
20165	1619	15	_	_	NNP
20165	1619	16	AB	AB	NNP
20165	1619	17	_	_	NNP
20165	1619	18	,	,	,
20165	1619	19	or	or	CC
20165	1619	20	1,600	1,600	CD
20165	1619	21	feet	foot	NNS
20165	1619	22	.	.	.
20165	1620	1	The	the	DT
20165	1620	2	base	base	NN
20165	1620	3	_	_	NNP
20165	1620	4	ef	ef	NNP
20165	1620	5	_	_	NNP
20165	1620	6	of	of	IN
20165	1620	7	the	the	DT
20165	1620	8	pyramid	pyramid	NN
20165	1620	9	is	be	VBZ
20165	1620	10	1,600	1,600	CD
20165	1620	11	feet	foot	NNS
20165	1620	12	from	from	IN
20165	1620	13	the	the	DT
20165	1620	14	base	base	NN
20165	1620	15	line	line	NN
20165	1620	16	of	of	IN
20165	1620	17	the	the	DT
20165	1620	18	picture	picture	NN
20165	1620	19	,	,	,
20165	1620	20	and	and	CC
20165	1620	21	is	be	VBZ
20165	1620	22	,	,	,
20165	1620	23	according	accord	VBG
20165	1620	24	to	to	IN
20165	1620	25	our	-PRON-	PRP$
20165	1620	26	10-foot	10-foot	CD
20165	1620	27	scale	scale	NN
20165	1620	28	,	,	,
20165	1620	29	764	764	CD
20165	1620	30	feet	foot	NNS
20165	1620	31	long	long	JJ
20165	1620	32	.	.	.
20165	1621	1	The	the	DT
20165	1621	2	next	next	JJ
20165	1621	3	thing	thing	NN
20165	1621	4	to	to	TO
20165	1621	5	consider	consider	VB
20165	1621	6	is	be	VBZ
20165	1621	7	the	the	DT
20165	1621	8	height	height	NN
20165	1621	9	of	of	IN
20165	1621	10	the	the	DT
20165	1621	11	pyramid	pyramid	NN
20165	1621	12	.	.	.
20165	1622	1	We	-PRON-	PRP
20165	1622	2	make	make	VBP
20165	1622	3	a	a	DT
20165	1622	4	scale	scale	NN
20165	1622	5	to	to	IN
20165	1622	6	the	the	DT
20165	1622	7	right	right	NN
20165	1622	8	of	of	IN
20165	1622	9	the	the	DT
20165	1622	10	picture	picture	NN
20165	1622	11	measuring	measure	VBG
20165	1622	12	50	50	CD
20165	1622	13	feet	foot	NNS
20165	1622	14	from	from	IN
20165	1622	15	_	_	NNP
20165	1622	16	B	B	NNP
20165	1622	17	_	_	NNP
20165	1622	18	to	to	IN
20165	1622	19	50	50	CD
20165	1622	20	at	at	IN
20165	1622	21	point	point	NN
20165	1622	22	where	where	WRB
20165	1622	23	_	_	NNP
20165	1622	24	BP	BP	NNP
20165	1622	25	_	_	NNP
20165	1622	26	intersects	intersect	VBZ
20165	1622	27	base	base	NN
20165	1622	28	of	of	IN
20165	1622	29	pyramid	pyramid	NNP
20165	1622	30	,	,	,
20165	1622	31	raise	raise	VB
20165	1622	32	perpendicular	perpendicular	JJ
20165	1622	33	_	_	NNP
20165	1622	34	CG	CG	NNP
20165	1622	35	_	_	NNP
20165	1622	36	and	and	CC
20165	1622	37	thereon	thereon	NN
20165	1622	38	measure	measure	NN
20165	1622	39	480	480	CD
20165	1622	40	feet	foot	NNS
20165	1622	41	.	.	.
20165	1623	1	As	as	IN
20165	1623	2	we	-PRON-	PRP
20165	1623	3	can	can	MD
20165	1623	4	not	not	RB
20165	1623	5	obtain	obtain	VB
20165	1623	6	a	a	DT
20165	1623	7	palpable	palpable	JJ
20165	1623	8	square	square	NN
20165	1623	9	on	on	IN
20165	1623	10	the	the	DT
20165	1623	11	ground	ground	NN
20165	1623	12	,	,	,
20165	1623	13	let	let	VB
20165	1623	14	us	-PRON-	PRP
20165	1623	15	draw	draw	VB
20165	1623	16	one	one	CD
20165	1623	17	480	480	CD
20165	1623	18	feet	foot	NNS
20165	1623	19	above	above	IN
20165	1623	20	the	the	DT
20165	1623	21	ground	ground	NN
20165	1623	22	.	.	.
20165	1624	1	From	from	IN
20165	1624	2	_	_	NNP
20165	1624	3	e	e	NNP
20165	1624	4	_	_	NNP
20165	1624	5	and	and	CC
20165	1624	6	_	_	NNP
20165	1624	7	f	f	NNP
20165	1624	8	_	_	NNP
20165	1624	9	raise	raise	NN
20165	1624	10	verticals	vertical	NNS
20165	1624	11	_	_	NNP
20165	1624	12	eM	eM	NNP
20165	1624	13	_	_	NNP
20165	1624	14	and	and	CC
20165	1624	15	_	_	NNP
20165	1624	16	fN	fN	NNP
20165	1624	17	_	_	NNP
20165	1624	18	,	,	,
20165	1624	19	making	make	VBG
20165	1624	20	them	-PRON-	PRP
20165	1624	21	equal	equal	JJ
20165	1624	22	to	to	IN
20165	1624	23	perpendicular	perpendicular	JJ
20165	1624	24	_	_	NNP
20165	1624	25	G	G	NNP
20165	1624	26	_	_	NNP
20165	1624	27	,	,	,
20165	1624	28	and	and	CC
20165	1624	29	draw	draw	VB
20165	1624	30	line	line	NN
20165	1624	31	_	_	NNP
20165	1624	32	MN	MN	NNP
20165	1624	33	_	_	NNP
20165	1624	34	,	,	,
20165	1624	35	which	which	WDT
20165	1624	36	will	will	MD
20165	1624	37	be	be	VB
20165	1624	38	the	the	DT
20165	1624	39	same	same	JJ
20165	1624	40	length	length	NN
20165	1624	41	as	as	IN
20165	1624	42	base	base	NN
20165	1624	43	,	,	,
20165	1624	44	or	or	CC
20165	1624	45	764	764	CD
20165	1624	46	feet	foot	NNS
20165	1624	47	.	.	.
20165	1625	1	On	on	IN
20165	1625	2	this	this	DT
20165	1625	3	line	line	NN
20165	1625	4	form	form	NN
20165	1625	5	square	square	NN
20165	1625	6	_	_	NNP
20165	1625	7	MNK	MNK	NNP
20165	1625	8	_	_	NNP
20165	1625	9	parallel	parallel	NN
20165	1625	10	to	to	IN
20165	1625	11	the	the	DT
20165	1625	12	perspective	perspective	JJ
20165	1625	13	plane	plane	NN
20165	1625	14	,	,	,
20165	1625	15	find	find	VB
20165	1625	16	its	-PRON-	PRP$
20165	1625	17	centre	centre	NN
20165	1625	18	_	_	NNP
20165	1625	19	O	O	NNP
20165	1625	20	·	·	NFP
20165	1625	21	_	_	NN
20165	1625	22	by	by	IN
20165	1625	23	means	mean	NNS
20165	1625	24	of	of	IN
20165	1625	25	diagonals	diagonal	NNS
20165	1625	26	,	,	,
20165	1625	27	and	and	CC
20165	1625	28	_	_	NNP
20165	1625	29	O	O	NNP
20165	1625	30	·	·	NFP
20165	1625	31	_	_	NNP
20165	1625	32	will	will	MD
20165	1625	33	be	be	VB
20165	1625	34	the	the	DT
20165	1625	35	central	central	JJ
20165	1625	36	height	height	NN
20165	1625	37	of	of	IN
20165	1625	38	the	the	DT
20165	1625	39	pyramid	pyramid	NN
20165	1625	40	and	and	CC
20165	1625	41	exactly	exactly	RB
20165	1625	42	over	over	IN
20165	1625	43	the	the	DT
20165	1625	44	centre	centre	NN
20165	1625	45	of	of	IN
20165	1625	46	the	the	DT
20165	1625	47	base	base	NN
20165	1625	48	.	.	.
20165	1626	1	From	from	IN
20165	1626	2	this	this	DT
20165	1626	3	point	point	NN
20165	1626	4	_	_	NNP
20165	1626	5	O	O	NNP
20165	1626	6	·	·	NFP
20165	1626	7	_	_	NNP
20165	1626	8	draw	draw	NN
20165	1626	9	sloping	sloping	NN
20165	1626	10	lines	line	NNS
20165	1626	11	_	_	NNP
20165	1626	12	O·f	O·f	NNP
20165	1626	13	_	_	NNP
20165	1626	14	,	,	,
20165	1626	15	_	_	NNP
20165	1626	16	O·e	O·e	NNP
20165	1626	17	_	_	NNP
20165	1626	18	,	,	,
20165	1626	19	_	_	NNP
20165	1626	20	O·Y	O·Y	NNP
20165	1626	21	_	_	NNP
20165	1626	22	,	,	,
20165	1626	23	&	&	CC
20165	1626	24	c.	c.	NNP
20165	1626	25	,	,	,
20165	1626	26	and	and	CC
20165	1626	27	the	the	DT
20165	1626	28	figure	figure	NN
20165	1626	29	is	be	VBZ
20165	1626	30	complete	complete	JJ
20165	1626	31	.	.	.
20165	1627	1	Note	note	VB
20165	1627	2	the	the	DT
20165	1627	3	way	way	NN
20165	1627	4	in	in	IN
20165	1627	5	which	which	WDT
20165	1627	6	we	-PRON-	PRP
20165	1627	7	find	find	VBP
20165	1627	8	the	the	DT
20165	1627	9	measurements	measurement	NNS
20165	1627	10	on	on	IN
20165	1627	11	base	base	NN
20165	1627	12	of	of	IN
20165	1627	13	pyramid	pyramid	NN
20165	1627	14	and	and	CC
20165	1627	15	on	on	IN
20165	1627	16	line	line	NN
20165	1627	17	_	_	NNP
20165	1627	18	MN	MN	NNP
20165	1627	19	_	_	NNP
20165	1627	20	.	.	.
20165	1628	1	By	by	IN
20165	1628	2	drawing	draw	VBG
20165	1628	3	_	_	NNP
20165	1628	4	AS	as	IN
20165	1628	5	_	_	NNP
20165	1628	6	and	and	CC
20165	1628	7	_	_	NNP
20165	1628	8	BS	BS	NNP
20165	1628	9	_	_	NNP
20165	1628	10	to	to	IN
20165	1628	11	point	point	NN
20165	1628	12	of	of	IN
20165	1628	13	sight	sight	NN
20165	1628	14	we	-PRON-	PRP
20165	1628	15	find	find	VBP
20165	1628	16	_	_	NNP
20165	1628	17	Te	Te	NNP
20165	1628	18	_	_	NNP
20165	1628	19	,	,	,
20165	1628	20	which	which	WDT
20165	1628	21	measures	measure	VBZ
20165	1628	22	100	100	CD
20165	1628	23	feet	foot	NNS
20165	1628	24	at	at	IN
20165	1628	25	a	a	DT
20165	1628	26	distance	distance	NN
20165	1628	27	of	of	IN
20165	1628	28	1,600	1,600	CD
20165	1628	29	feet	foot	NNS
20165	1628	30	.	.	.
20165	1629	1	We	-PRON-	PRP
20165	1629	2	mark	mark	VBP
20165	1629	3	off	off	RP
20165	1629	4	seven	seven	CD
20165	1629	5	of	of	IN
20165	1629	6	these	these	DT
20165	1629	7	lengths	length	NNS
20165	1629	8	,	,	,
20165	1629	9	and	and	CC
20165	1629	10	an	an	DT
20165	1629	11	additional	additional	JJ
20165	1629	12	64	64	CD
20165	1629	13	feet	foot	NNS
20165	1629	14	by	by	IN
20165	1629	15	the	the	DT
20165	1629	16	scale	scale	NN
20165	1629	17	,	,	,
20165	1629	18	and	and	CC
20165	1629	19	so	so	RB
20165	1629	20	obtain	obtain	VB
20165	1629	21	the	the	DT
20165	1629	22	required	require	VBN
20165	1629	23	length	length	NN
20165	1629	24	.	.	.
20165	1630	1	The	the	DT
20165	1630	2	position	position	NN
20165	1630	3	of	of	IN
20165	1630	4	the	the	DT
20165	1630	5	third	third	JJ
20165	1630	6	corner	corner	NN
20165	1630	7	of	of	IN
20165	1630	8	the	the	DT
20165	1630	9	base	base	NN
20165	1630	10	is	be	VBZ
20165	1630	11	found	find	VBN
20165	1630	12	by	by	IN
20165	1630	13	dropping	drop	VBG
20165	1630	14	a	a	DT
20165	1630	15	perpendicular	perpendicular	NN
20165	1630	16	from	from	IN
20165	1630	17	_	_	NNP
20165	1630	18	K	K	NNP
20165	1630	19	_	_	NNP
20165	1630	20	,	,	,
20165	1630	21	till	till	IN
20165	1630	22	it	-PRON-	PRP
20165	1630	23	meets	meet	VBZ
20165	1630	24	the	the	DT
20165	1630	25	line	line	NN
20165	1630	26	_	_	NNP
20165	1630	27	eS	eS	NNP
20165	1630	28	_	_	XX
20165	1630	29	.	.	.
20165	1631	1	Another	another	DT
20165	1631	2	thing	thing	NN
20165	1631	3	to	to	TO
20165	1631	4	note	note	VB
20165	1631	5	is	be	VBZ
20165	1631	6	that	that	IN
20165	1631	7	the	the	DT
20165	1631	8	side	side	NN
20165	1631	9	of	of	IN
20165	1631	10	the	the	DT
20165	1631	11	pyramid	pyramid	NN
20165	1631	12	that	that	WDT
20165	1631	13	faces	face	VBZ
20165	1631	14	us	-PRON-	PRP
20165	1631	15	,	,	,
20165	1631	16	although	although	IN
20165	1631	17	an	an	DT
20165	1631	18	equilateral	equilateral	JJ
20165	1631	19	triangle	triangle	NN
20165	1631	20	,	,	,
20165	1631	21	does	do	VBZ
20165	1631	22	not	not	RB
20165	1631	23	appear	appear	VB
20165	1631	24	so	so	RB
20165	1631	25	,	,	,
20165	1631	26	as	as	IN
20165	1631	27	its	-PRON-	PRP$
20165	1631	28	top	top	JJ
20165	1631	29	angle	angle	NN
20165	1631	30	is	be	VBZ
20165	1631	31	382	382	CD
20165	1631	32	feet	foot	NNS
20165	1631	33	farther	farther	RB
20165	1631	34	off	off	RB
20165	1631	35	than	than	IN
20165	1631	36	its	-PRON-	PRP$
20165	1631	37	base	base	NN
20165	1631	38	owing	owing	NN
20165	1631	39	to	to	IN
20165	1631	40	its	-PRON-	PRP$
20165	1631	41	leaning	lean	VBG
20165	1631	42	position	position	NN
20165	1631	43	.	.	.
20165	1632	1	CXXIII	CXXIII	NNP
20165	1632	2	THE	the	DT
20165	1632	3	PYRAMID	PYRAMID	NNP
20165	1632	4	IN	in	IN
20165	1632	5	ANGULAR	ANGULAR	NNP
20165	1632	6	PERSPECTIVE	perspective	NN
20165	1632	7	In	in	IN
20165	1632	8	order	order	NN
20165	1632	9	to	to	TO
20165	1632	10	show	show	VB
20165	1632	11	the	the	DT
20165	1632	12	working	working	NN
20165	1632	13	of	of	IN
20165	1632	14	this	this	DT
20165	1632	15	proposition	proposition	NN
20165	1632	16	I	-PRON-	PRP
20165	1632	17	have	have	VBP
20165	1632	18	taken	take	VBN
20165	1632	19	a	a	DT
20165	1632	20	much	much	RB
20165	1632	21	higher	high	JJR
20165	1632	22	horizon	horizon	NN
20165	1632	23	,	,	,
20165	1632	24	which	which	WDT
20165	1632	25	immediately	immediately	RB
20165	1632	26	detracts	detract	VBZ
20165	1632	27	from	from	IN
20165	1632	28	the	the	DT
20165	1632	29	impression	impression	NN
20165	1632	30	of	of	IN
20165	1632	31	the	the	DT
20165	1632	32	bigness	bigness	NN
20165	1632	33	of	of	IN
20165	1632	34	the	the	DT
20165	1632	35	pyramid	pyramid	NN
20165	1632	36	.	.	.
20165	1633	1	[	[	-LRB-
20165	1633	2	Illustration	illustration	NN
20165	1633	3	:	:	:
20165	1633	4	Fig	Fig	NNP
20165	1633	5	.	.	.
20165	1634	1	225	225	CD
20165	1634	2	.	.	.
20165	1634	3	]	]	-RRB-
20165	1635	1	We	-PRON-	PRP
20165	1635	2	proceed	proceed	VBP
20165	1635	3	to	to	TO
20165	1635	4	make	make	VB
20165	1635	5	our	-PRON-	PRP$
20165	1635	6	ground	ground	NN
20165	1635	7	-	-	HYPH
20165	1635	8	plan	plan	NN
20165	1635	9	_	_	NNP
20165	1635	10	abcd	abcd	NNP
20165	1635	11	_	_	NNP
20165	1635	12	high	high	RB
20165	1635	13	above	above	IN
20165	1635	14	the	the	DT
20165	1635	15	horizon	horizon	NN
20165	1635	16	instead	instead	RB
20165	1635	17	of	of	IN
20165	1635	18	below	below	IN
20165	1635	19	it	-PRON-	PRP
20165	1635	20	,	,	,
20165	1635	21	drawing	draw	VBG
20165	1635	22	first	first	RB
20165	1635	23	the	the	DT
20165	1635	24	parallel	parallel	JJ
20165	1635	25	square	square	NN
20165	1635	26	and	and	CC
20165	1635	27	then	then	RB
20165	1635	28	the	the	DT
20165	1635	29	oblique	oblique	JJ
20165	1635	30	one	one	CD
20165	1635	31	.	.	.
20165	1636	1	From	from	IN
20165	1636	2	all	all	PDT
20165	1636	3	the	the	DT
20165	1636	4	principal	principal	JJ
20165	1636	5	points	point	NNS
20165	1636	6	drop	drop	VB
20165	1636	7	perpendiculars	perpendicular	NNS
20165	1636	8	to	to	IN
20165	1636	9	the	the	DT
20165	1636	10	ground	ground	NN
20165	1636	11	and	and	CC
20165	1636	12	thus	thus	RB
20165	1636	13	find	find	VB
20165	1636	14	the	the	DT
20165	1636	15	points	point	NNS
20165	1636	16	through	through	IN
20165	1636	17	which	which	WDT
20165	1636	18	to	to	TO
20165	1636	19	draw	draw	VB
20165	1636	20	the	the	DT
20165	1636	21	base	base	NN
20165	1636	22	of	of	IN
20165	1636	23	the	the	DT
20165	1636	24	pyramid	pyramid	NN
20165	1636	25	.	.	.
20165	1637	1	Find	find	NN
20165	1637	2	centres	centre	NNS
20165	1637	3	_	_	NNP
20165	1637	4	OO	OO	NNP
20165	1637	5	·	·	:
20165	1637	6	_	_	NNP
20165	1637	7	and	and	CC
20165	1637	8	decide	decide	VB
20165	1637	9	upon	upon	IN
20165	1637	10	the	the	DT
20165	1637	11	height	height	NN
20165	1637	12	_	_	NNP
20165	1637	13	OP	OP	NNP
20165	1637	14	_	_	NNP
20165	1637	15	.	.	.
20165	1638	1	Draw	draw	VB
20165	1638	2	the	the	DT
20165	1638	3	sloping	slope	VBG
20165	1638	4	lines	line	NNS
20165	1638	5	from	from	IN
20165	1638	6	_	_	NNP
20165	1638	7	P	P	NNP
20165	1638	8	_	_	NNP
20165	1638	9	to	to	IN
20165	1638	10	the	the	DT
20165	1638	11	corners	corner	NNS
20165	1638	12	of	of	IN
20165	1638	13	the	the	DT
20165	1638	14	base	base	NN
20165	1638	15	,	,	,
20165	1638	16	and	and	CC
20165	1638	17	the	the	DT
20165	1638	18	figure	figure	NN
20165	1638	19	is	be	VBZ
20165	1638	20	complete	complete	JJ
20165	1638	21	.	.	.
20165	1639	1	CXXIV	CXXIV	NNS
20165	1639	2	TO	to	IN
20165	1639	3	DIVIDE	DIVIDE	NNP
20165	1639	4	THE	the	DT
20165	1639	5	SIDES	side	NNS
20165	1639	6	OF	of	IN
20165	1639	7	THE	the	DT
20165	1639	8	PYRAMID	PYRAMID	NNP
20165	1639	9	HORIZONTALLY	HORIZONTALLY	NNP
20165	1639	10	Having	have	VBG
20165	1639	11	raised	raise	VBN
20165	1639	12	the	the	DT
20165	1639	13	pyramid	pyramid	NN
20165	1639	14	on	on	IN
20165	1639	15	a	a	DT
20165	1639	16	given	give	VBN
20165	1639	17	oblique	oblique	NNP
20165	1639	18	square	square	NN
20165	1639	19	,	,	,
20165	1639	20	divide	divide	VB
20165	1639	21	the	the	DT
20165	1639	22	vertical	vertical	JJ
20165	1639	23	line	line	NN
20165	1639	24	OP	OP	NNP
20165	1639	25	into	into	IN
20165	1639	26	the	the	DT
20165	1639	27	required	require	VBN
20165	1639	28	number	number	NN
20165	1639	29	of	of	IN
20165	1639	30	parts	part	NNS
20165	1639	31	.	.	.
20165	1640	1	From	from	IN
20165	1640	2	_	_	NNP
20165	1640	3	A	A	NNP
20165	1640	4	_	_	NNP
20165	1640	5	through	through	IN
20165	1640	6	_	_	NNP
20165	1640	7	C	C	NNP
20165	1640	8	_	_	NNP
20165	1640	9	draw	draw	NN
20165	1640	10	_	_	NNP
20165	1640	11	AG	AG	NNP
20165	1640	12	_	_	NNP
20165	1640	13	to	to	IN
20165	1640	14	horizon	horizon	NN
20165	1640	15	,	,	,
20165	1640	16	which	which	WDT
20165	1640	17	gives	give	VBZ
20165	1640	18	us	-PRON-	PRP
20165	1640	19	_	_	NNP
20165	1640	20	G	G	NNP
20165	1640	21	_	_	NNP
20165	1640	22	,	,	,
20165	1640	23	the	the	DT
20165	1640	24	vanishing	vanish	VBG
20165	1640	25	point	point	NN
20165	1640	26	of	of	IN
20165	1640	27	all	all	PDT
20165	1640	28	the	the	DT
20165	1640	29	diagonals	diagonal	NNS
20165	1640	30	of	of	IN
20165	1640	31	squares	square	NNS
20165	1640	32	parallel	parallel	JJ
20165	1640	33	to	to	IN
20165	1640	34	and	and	CC
20165	1640	35	at	at	IN
20165	1640	36	the	the	DT
20165	1640	37	same	same	JJ
20165	1640	38	angle	angle	NN
20165	1640	39	as	as	IN
20165	1640	40	_	_	NNP
20165	1640	41	ABCD	ABCD	NNP
20165	1640	42	_	_	NNP
20165	1640	43	.	.	.
20165	1641	1	From	from	IN
20165	1641	2	_	_	NNP
20165	1641	3	G	G	NNP
20165	1641	4	_	_	NNP
20165	1641	5	draw	draw	VBP
20165	1641	6	lines	line	NNS
20165	1641	7	through	through	IN
20165	1641	8	the	the	DT
20165	1641	9	divisions	division	NNS
20165	1641	10	2	2	CD
20165	1641	11	,	,	,
20165	1641	12	3	3	CD
20165	1641	13	,	,	,
20165	1641	14	&	&	CC
20165	1641	15	c.	c.	NNP
20165	1641	16	,	,	,
20165	1641	17	on	on	IN
20165	1641	18	_	_	NNP
20165	1641	19	OP	OP	NNP
20165	1641	20	_	_	NNP
20165	1641	21	cutting	cut	VBG
20165	1641	22	the	the	DT
20165	1641	23	lines	line	NNS
20165	1641	24	_	_	NNP
20165	1641	25	PA	PA	NNP
20165	1641	26	_	_	NNP
20165	1641	27	and	and	CC
20165	1641	28	_	_	NNP
20165	1641	29	PC	PC	NNP
20165	1641	30	_	_	NNP
20165	1641	31	,	,	,
20165	1641	32	thus	thus	RB
20165	1641	33	dividing	divide	VBG
20165	1641	34	them	-PRON-	PRP
20165	1641	35	into	into	IN
20165	1641	36	the	the	DT
20165	1641	37	required	require	VBN
20165	1641	38	parts	part	NNS
20165	1641	39	.	.	.
20165	1642	1	Through	through	IN
20165	1642	2	the	the	DT
20165	1642	3	points	point	NNS
20165	1642	4	thus	thus	RB
20165	1642	5	found	find	VBD
20165	1642	6	draw	draw	NN
20165	1642	7	from	from	IN
20165	1642	8	_	_	NNP
20165	1642	9	V	V	NNP
20165	1642	10	_	_	NNP
20165	1642	11	all	all	PDT
20165	1642	12	those	those	DT
20165	1642	13	sides	side	NNS
20165	1642	14	of	of	IN
20165	1642	15	the	the	DT
20165	1642	16	squares	square	NNS
20165	1642	17	that	that	WDT
20165	1642	18	have	have	VBP
20165	1642	19	_	_	NNP
20165	1642	20	V	V	NNP
20165	1642	21	_	_	NNP
20165	1642	22	for	for	IN
20165	1642	23	their	-PRON-	PRP$
20165	1642	24	vanishing	vanishing	NN
20165	1642	25	point	point	NN
20165	1642	26	,	,	,
20165	1642	27	as	as	IN
20165	1642	28	_	_	NNP
20165	1642	29	ab	ab	NNP
20165	1642	30	_	_	NNP
20165	1642	31	,	,	,
20165	1642	32	_	_	NNP
20165	1642	33	cd	cd	NNP
20165	1642	34	_	_	NNP
20165	1642	35	,	,	,
20165	1642	36	&	&	CC
20165	1642	37	c.	c.	NNP
20165	1642	38	Then	then	RB
20165	1642	39	join	join	VB
20165	1642	40	_	_	NNP
20165	1642	41	bd	bd	NNP
20165	1642	42	_	_	NNP
20165	1642	43	,	,	,
20165	1642	44	_	_	NNP
20165	1642	45	ac	ac	NNP
20165	1642	46	_	_	NNP
20165	1642	47	,	,	,
20165	1642	48	and	and	CC
20165	1642	49	the	the	DT
20165	1642	50	rest	rest	NN
20165	1642	51	,	,	,
20165	1642	52	and	and	CC
20165	1642	53	thus	thus	RB
20165	1642	54	make	make	VB
20165	1642	55	the	the	DT
20165	1642	56	horizontal	horizontal	JJ
20165	1642	57	divisions	division	NNS
20165	1642	58	required	require	VBN
20165	1642	59	.	.	.
20165	1643	1	[	[	-LRB-
20165	1643	2	Illustration	illustration	NN
20165	1643	3	:	:	:
20165	1643	4	Fig	Fig	NNP
20165	1643	5	.	.	.
20165	1644	1	226	226	CD
20165	1644	2	.	.	.
20165	1644	3	]	]	-RRB-
20165	1645	1	[	[	-LRB-
20165	1645	2	Illustration	illustration	NN
20165	1645	3	:	:	:
20165	1645	4	Fig	Fig	NNP
20165	1645	5	.	.	.
20165	1646	1	227	227	CD
20165	1646	2	.	.	.
20165	1646	3	]	]	-RRB-
20165	1647	1	The	the	DT
20165	1647	2	same	same	JJ
20165	1647	3	method	method	NN
20165	1647	4	will	will	MD
20165	1647	5	apply	apply	VB
20165	1647	6	to	to	IN
20165	1647	7	drawing	draw	VBG
20165	1647	8	steps	step	NNS
20165	1647	9	,	,	,
20165	1647	10	square	square	JJ
20165	1647	11	blocks	block	NNS
20165	1647	12	,	,	,
20165	1647	13	&	&	CC
20165	1647	14	c.	c.	NNP
20165	1647	15	,	,	,
20165	1647	16	as	as	IN
20165	1647	17	shown	show	VBN
20165	1647	18	in	in	IN
20165	1647	19	Fig	Fig	NNP
20165	1647	20	.	.	.
20165	1648	1	227	227	CD
20165	1648	2	,	,	,
20165	1648	3	which	which	WDT
20165	1648	4	is	be	VBZ
20165	1648	5	at	at	IN
20165	1648	6	the	the	DT
20165	1648	7	same	same	JJ
20165	1648	8	angle	angle	NN
20165	1648	9	as	as	IN
20165	1648	10	the	the	DT
20165	1648	11	above	above	JJ
20165	1648	12	.	.	.
20165	1649	1	CXXV	cxxv	WRB
20165	1649	2	OF	of	IN
20165	1649	3	ROOFS	roof	VBN
20165	1649	4	The	the	DT
20165	1649	5	pyramidal	pyramidal	NN
20165	1649	6	roof	roof	NN
20165	1649	7	(	(	-LRB-
20165	1649	8	Fig	fig	NN
20165	1649	9	.	.	.
20165	1650	1	228	228	CD
20165	1650	2	)	)	-RRB-
20165	1650	3	is	be	VBZ
20165	1650	4	so	so	RB
20165	1650	5	simple	simple	JJ
20165	1650	6	that	that	IN
20165	1650	7	it	-PRON-	PRP
20165	1650	8	explains	explain	VBZ
20165	1650	9	itself	-PRON-	PRP
20165	1650	10	.	.	.
20165	1651	1	The	the	DT
20165	1651	2	chief	chief	JJ
20165	1651	3	thing	thing	NN
20165	1651	4	to	to	TO
20165	1651	5	be	be	VB
20165	1651	6	noted	note	VBN
20165	1651	7	is	be	VBZ
20165	1651	8	the	the	DT
20165	1651	9	way	way	NN
20165	1651	10	in	in	IN
20165	1651	11	which	which	WDT
20165	1651	12	the	the	DT
20165	1651	13	diagonals	diagonal	NNS
20165	1651	14	are	be	VBP
20165	1651	15	produced	produce	VBN
20165	1651	16	beyond	beyond	IN
20165	1651	17	the	the	DT
20165	1651	18	square	square	NN
20165	1651	19	of	of	IN
20165	1651	20	the	the	DT
20165	1651	21	walls	wall	NNS
20165	1651	22	,	,	,
20165	1651	23	to	to	TO
20165	1651	24	give	give	VB
20165	1651	25	the	the	DT
20165	1651	26	width	width	NN
20165	1651	27	of	of	IN
20165	1651	28	the	the	DT
20165	1651	29	eaves	eave	NNS
20165	1651	30	,	,	,
20165	1651	31	according	accord	VBG
20165	1651	32	to	to	IN
20165	1651	33	their	-PRON-	PRP$
20165	1651	34	position	position	NN
20165	1651	35	.	.	.
20165	1652	1	[	[	-LRB-
20165	1652	2	Illustration	illustration	NN
20165	1652	3	:	:	:
20165	1652	4	Fig	Fig	NNP
20165	1652	5	.	.	.
20165	1653	1	228	228	CD
20165	1653	2	.	.	.
20165	1653	3	]	]	-RRB-
20165	1654	1	Another	another	DT
20165	1654	2	form	form	NN
20165	1654	3	of	of	IN
20165	1654	4	the	the	DT
20165	1654	5	pyramidal	pyramidal	JJ
20165	1654	6	roof	roof	NN
20165	1654	7	is	be	VBZ
20165	1654	8	here	here	RB
20165	1654	9	given	give	VBN
20165	1654	10	(	(	-LRB-
20165	1654	11	Fig	fig	NN
20165	1654	12	.	.	.
20165	1655	1	229	229	CD
20165	1655	2	)	)	-RRB-
20165	1655	3	.	.	.
20165	1656	1	First	first	RB
20165	1656	2	draw	draw	VB
20165	1656	3	the	the	DT
20165	1656	4	cube	cube	NNP
20165	1656	5	_	_	NNP
20165	1656	6	edcba	edcba	NN
20165	1656	7	_	_	NNP
20165	1656	8	at	at	IN
20165	1656	9	the	the	DT
20165	1656	10	required	require	VBN
20165	1656	11	height	height	NN
20165	1656	12	,	,	,
20165	1656	13	and	and	CC
20165	1656	14	on	on	IN
20165	1656	15	the	the	DT
20165	1656	16	side	side	NN
20165	1656	17	facing	face	VBG
20165	1656	18	us	-PRON-	PRP
20165	1656	19	,	,	,
20165	1656	20	_	_	NNP
20165	1656	21	adcb	adcb	VBD
20165	1656	22	_	_	NNP
20165	1656	23	,	,	,
20165	1656	24	draw	draw	VB
20165	1656	25	triangle	triangle	NNP
20165	1656	26	_	_	NNP
20165	1656	27	K	K	NNP
20165	1656	28	_	_	NNP
20165	1656	29	,	,	,
20165	1656	30	which	which	WDT
20165	1656	31	represents	represent	VBZ
20165	1656	32	the	the	DT
20165	1656	33	end	end	NN
20165	1656	34	of	of	IN
20165	1656	35	a	a	DT
20165	1656	36	gable	gable	JJ
20165	1656	37	roof	roof	NN
20165	1656	38	.	.	.
20165	1657	1	Then	then	RB
20165	1657	2	draw	draw	VB
20165	1657	3	similar	similar	JJ
20165	1657	4	triangles	triangle	NNS
20165	1657	5	on	on	IN
20165	1657	6	the	the	DT
20165	1657	7	other	other	JJ
20165	1657	8	sides	side	NNS
20165	1657	9	of	of	IN
20165	1657	10	the	the	DT
20165	1657	11	cube	cube	NN
20165	1657	12	(	(	-LRB-
20165	1657	13	see	see	VB
20165	1657	14	Fig	Fig	NNP
20165	1657	15	.	.	.
20165	1658	1	159	159	CD
20165	1658	2	,	,	,
20165	1658	3	LXXXIV	LXXXIV	NNP
20165	1658	4	)	)	-RRB-
20165	1658	5	.	.	.
20165	1659	1	Join	join	VB
20165	1659	2	the	the	DT
20165	1659	3	opposite	opposite	JJ
20165	1659	4	triangles	triangle	NNS
20165	1659	5	at	at	IN
20165	1659	6	the	the	DT
20165	1659	7	apex	apex	NN
20165	1659	8	,	,	,
20165	1659	9	and	and	CC
20165	1659	10	thus	thus	RB
20165	1659	11	form	form	VBP
20165	1659	12	two	two	CD
20165	1659	13	gable	gable	JJ
20165	1659	14	roofs	roof	NNS
20165	1659	15	crossing	cross	VBG
20165	1659	16	each	each	DT
20165	1659	17	other	other	JJ
20165	1659	18	at	at	IN
20165	1659	19	right	right	JJ
20165	1659	20	angles	angle	NNS
20165	1659	21	.	.	.
20165	1660	1	From	from	IN
20165	1660	2	_	_	NNP
20165	1660	3	o	o	XX
20165	1660	4	_	_	NNP
20165	1660	5	,	,	,
20165	1660	6	centre	centre	NN
20165	1660	7	of	of	IN
20165	1660	8	base	base	NN
20165	1660	9	of	of	IN
20165	1660	10	cube	cube	NN
20165	1660	11	,	,	,
20165	1660	12	raise	raise	VB
20165	1660	13	vertical	vertical	JJ
20165	1660	14	_	_	NNP
20165	1660	15	OP	OP	NNP
20165	1660	16	_	_	NNP
20165	1660	17	,	,	,
20165	1660	18	and	and	CC
20165	1660	19	then	then	RB
20165	1660	20	from	from	IN
20165	1660	21	_	_	NNP
20165	1660	22	P	P	NNP
20165	1660	23	_	_	NNP
20165	1660	24	draw	draw	VBP
20165	1660	25	sloping	slope	VBG
20165	1660	26	lines	line	NNS
20165	1660	27	to	to	IN
20165	1660	28	each	each	DT
20165	1660	29	corner	corner	NN
20165	1660	30	of	of	IN
20165	1660	31	base	base	NN
20165	1660	32	_	_	NNP
20165	1660	33	a	a	DT
20165	1660	34	_	_	NNP
20165	1660	35	,	,	,
20165	1660	36	_	_	NNP
20165	1660	37	b	b	NNP
20165	1660	38	_	_	NNP
20165	1660	39	,	,	,
20165	1660	40	&	&	CC
20165	1660	41	c.	c.	NNP
20165	1660	42	,	,	,
20165	1660	43	and	and	CC
20165	1660	44	by	by	IN
20165	1660	45	means	mean	NNS
20165	1660	46	of	of	IN
20165	1660	47	central	central	JJ
20165	1660	48	lines	line	NNS
20165	1660	49	drawn	draw	VBN
20165	1660	50	from	from	IN
20165	1660	51	_	_	NNP
20165	1660	52	P	P	NNP
20165	1660	53	_	_	NNP
20165	1660	54	to	to	IN
20165	1660	55	half	half	JJ
20165	1660	56	base	base	NN
20165	1660	57	,	,	,
20165	1660	58	find	find	VB
20165	1660	59	the	the	DT
20165	1660	60	points	point	NNS
20165	1660	61	where	where	WRB
20165	1660	62	the	the	DT
20165	1660	63	gable	gable	JJ
20165	1660	64	roofs	roof	NNS
20165	1660	65	intersect	intersect	VBP
20165	1660	66	the	the	DT
20165	1660	67	central	central	JJ
20165	1660	68	spire	spire	NN
20165	1660	69	or	or	CC
20165	1660	70	pyramid	pyramid	NNP
20165	1660	71	.	.	.
20165	1661	1	Any	any	DT
20165	1661	2	other	other	JJ
20165	1661	3	proportions	proportion	NNS
20165	1661	4	can	can	MD
20165	1661	5	be	be	VB
20165	1661	6	obtained	obtain	VBN
20165	1661	7	by	by	IN
20165	1661	8	adding	add	VBG
20165	1661	9	to	to	IN
20165	1661	10	or	or	CC
20165	1661	11	altering	alter	VBG
20165	1661	12	the	the	DT
20165	1661	13	cube	cube	NN
20165	1661	14	.	.	.
20165	1662	1	[	[	-LRB-
20165	1662	2	Illustration	illustration	NN
20165	1662	3	:	:	:
20165	1662	4	Fig	Fig	NNP
20165	1662	5	.	.	.
20165	1663	1	229	229	CD
20165	1663	2	.	.	.
20165	1663	3	]	]	-RRB-
20165	1664	1	To	to	TO
20165	1664	2	draw	draw	VB
20165	1664	3	a	a	DT
20165	1664	4	sloping	sloping	NN
20165	1664	5	or	or	CC
20165	1664	6	hip	hip	NN
20165	1664	7	-	-	HYPH
20165	1664	8	roof	roof	NN
20165	1664	9	which	which	WDT
20165	1664	10	falls	fall	VBZ
20165	1664	11	back	back	RB
20165	1664	12	at	at	IN
20165	1664	13	each	each	DT
20165	1664	14	end	end	NN
20165	1664	15	we	-PRON-	PRP
20165	1664	16	must	must	MD
20165	1664	17	first	first	RB
20165	1664	18	draw	draw	VB
20165	1664	19	its	-PRON-	PRP$
20165	1664	20	base	base	NN
20165	1664	21	,	,	,
20165	1664	22	_	_	NNP
20165	1664	23	CBDA	CBDA	NNP
20165	1664	24	_	_	NNP
20165	1664	25	(	(	-LRB-
20165	1664	26	Fig	Fig	NNP
20165	1664	27	.	.	.
20165	1665	1	230	230	CD
20165	1665	2	)	)	-RRB-
20165	1665	3	.	.	.
20165	1666	1	Having	have	VBG
20165	1666	2	found	find	VBN
20165	1666	3	the	the	DT
20165	1666	4	centre	centre	NN
20165	1666	5	_	_	NNP
20165	1666	6	O	O	NNP
20165	1666	7	_	_	NNP
20165	1666	8	and	and	CC
20165	1666	9	central	central	JJ
20165	1666	10	line	line	NN
20165	1666	11	_	_	NNP
20165	1666	12	SP	SP	NNP
20165	1666	13	_	_	NNP
20165	1666	14	,	,	,
20165	1666	15	and	and	CC
20165	1666	16	how	how	WRB
20165	1666	17	far	far	RB
20165	1666	18	the	the	DT
20165	1666	19	roof	roof	NN
20165	1666	20	is	be	VBZ
20165	1666	21	to	to	TO
20165	1666	22	fall	fall	VB
20165	1666	23	back	back	RB
20165	1666	24	at	at	IN
20165	1666	25	each	each	DT
20165	1666	26	end	end	NN
20165	1666	27	,	,	,
20165	1666	28	namely	namely	RB
20165	1666	29	the	the	DT
20165	1666	30	distance	distance	NN
20165	1666	31	_	_	NNP
20165	1666	32	Pm	Pm	NNP
20165	1666	33	_	_	NNP
20165	1666	34	,	,	,
20165	1666	35	draw	draw	VB
20165	1666	36	horizontal	horizontal	JJ
20165	1666	37	line	line	NN
20165	1666	38	_	_	NNP
20165	1666	39	RB	RB	NNP
20165	1666	40	_	_	NNP
20165	1666	41	through	through	IN
20165	1666	42	_	_	NNP
20165	1666	43	m	m	NNP
20165	1666	44	_	_	NNP
20165	1666	45	.	.	.
20165	1667	1	Then	then	RB
20165	1667	2	from	from	IN
20165	1667	3	_	_	NNP
20165	1667	4	B	B	NNP
20165	1667	5	_	_	NNP
20165	1667	6	through	through	IN
20165	1667	7	_	_	NNP
20165	1667	8	O	O	NNP
20165	1667	9	_	_	NNP
20165	1667	10	draw	draw	VBP
20165	1667	11	diagonal	diagonal	JJ
20165	1667	12	_	_	NNP
20165	1667	13	BA	BA	NNP
20165	1667	14	_	_	NNP
20165	1667	15	,	,	,
20165	1667	16	and	and	CC
20165	1667	17	from	from	IN
20165	1667	18	_	_	NNP
20165	1667	19	A	A	NNP
20165	1667	20	_	_	NNP
20165	1667	21	draw	draw	NN
20165	1667	22	horizontal	horizontal	NN
20165	1667	23	_	_	NNP
20165	1667	24	AD	AD	NNP
20165	1667	25	_	_	NNP
20165	1667	26	,	,	,
20165	1667	27	which	which	WDT
20165	1667	28	gives	give	VBZ
20165	1667	29	us	-PRON-	PRP
20165	1667	30	point	point	NN
20165	1667	31	_	_	NNP
20165	1667	32	n	n	CC
20165	1667	33	_	_	NNP
20165	1667	34	.	.	.
20165	1668	1	From	from	IN
20165	1668	2	these	these	DT
20165	1668	3	two	two	CD
20165	1668	4	points	point	NNS
20165	1668	5	_	_	NNP
20165	1668	6	m	m	NNP
20165	1668	7	_	_	NNP
20165	1668	8	and	and	CC
20165	1668	9	_	_	NNP
20165	1668	10	n	n	CC
20165	1668	11	_	_	NNP
20165	1668	12	raise	raise	VB
20165	1668	13	perpendiculars	perpendicular	NNS
20165	1668	14	the	the	DT
20165	1668	15	height	height	NN
20165	1668	16	required	require	VBN
20165	1668	17	for	for	IN
20165	1668	18	the	the	DT
20165	1668	19	roof	roof	NN
20165	1668	20	,	,	,
20165	1668	21	and	and	CC
20165	1668	22	from	from	IN
20165	1668	23	these	these	DT
20165	1668	24	draw	draw	VBP
20165	1668	25	sloping	slope	VBG
20165	1668	26	lines	line	NNS
20165	1668	27	to	to	IN
20165	1668	28	the	the	DT
20165	1668	29	corners	corner	NNS
20165	1668	30	of	of	IN
20165	1668	31	the	the	DT
20165	1668	32	base	base	NN
20165	1668	33	.	.	.
20165	1669	1	Join	join	VB
20165	1669	2	_	_	NNP
20165	1669	3	ef	ef	NNP
20165	1669	4	_	_	NNP
20165	1669	5	,	,	,
20165	1669	6	that	that	RB
20165	1669	7	is	is	RB
20165	1669	8	,	,	,
20165	1669	9	draw	draw	VB
20165	1669	10	the	the	DT
20165	1669	11	top	top	JJ
20165	1669	12	line	line	NN
20165	1669	13	of	of	IN
20165	1669	14	the	the	DT
20165	1669	15	roof	roof	NN
20165	1669	16	,	,	,
20165	1669	17	which	which	WDT
20165	1669	18	completes	complete	VBZ
20165	1669	19	it	-PRON-	PRP
20165	1669	20	.	.	.
20165	1670	1	Fig	fig	NN
20165	1670	2	.	.	.
20165	1671	1	231	231	CD
20165	1671	2	shows	show	VBZ
20165	1671	3	a	a	DT
20165	1671	4	plan	plan	NN
20165	1671	5	or	or	CC
20165	1671	6	bird's	bird's	NN
20165	1671	7	-	-	HYPH
20165	1671	8	eye	eye	NN
20165	1671	9	view	view	NN
20165	1671	10	of	of	IN
20165	1671	11	the	the	DT
20165	1671	12	roof	roof	NN
20165	1671	13	and	and	CC
20165	1671	14	the	the	DT
20165	1671	15	diagonal	diagonal	JJ
20165	1671	16	_	_	NNP
20165	1671	17	AB	AB	NNP
20165	1671	18	_	_	NNP
20165	1671	19	passing	pass	VBG
20165	1671	20	through	through	IN
20165	1671	21	centre	centre	NN
20165	1671	22	_	_	NNP
20165	1671	23	O	O	NNP
20165	1671	24	_	_	NNP
20165	1671	25	.	.	.
20165	1672	1	But	but	CC
20165	1672	2	there	there	EX
20165	1672	3	are	be	VBP
20165	1672	4	so	so	RB
20165	1672	5	many	many	JJ
20165	1672	6	varieties	variety	NNS
20165	1672	7	of	of	IN
20165	1672	8	roofs	roof	NNS
20165	1672	9	they	-PRON-	PRP
20165	1672	10	would	would	MD
20165	1672	11	take	take	VB
20165	1672	12	almost	almost	RB
20165	1672	13	a	a	DT
20165	1672	14	book	book	NN
20165	1672	15	to	to	IN
20165	1672	16	themselves	-PRON-	PRP
20165	1672	17	to	to	TO
20165	1672	18	illustrate	illustrate	VB
20165	1672	19	them	-PRON-	PRP
20165	1672	20	,	,	,
20165	1672	21	especially	especially	RB
20165	1672	22	the	the	DT
20165	1672	23	cottages	cottage	NNS
20165	1672	24	and	and	CC
20165	1672	25	farm	farm	NN
20165	1672	26	-	-	HYPH
20165	1672	27	buildings	building	NNS
20165	1672	28	,	,	,
20165	1672	29	barns	barn	NNS
20165	1672	30	,	,	,
20165	1672	31	&	&	CC
20165	1672	32	c.	c.	NNP
20165	1672	33	,	,	,
20165	1672	34	besides	besides	IN
20165	1672	35	churches	church	NNS
20165	1672	36	,	,	,
20165	1672	37	old	old	JJ
20165	1672	38	mansions	mansion	NNS
20165	1672	39	,	,	,
20165	1672	40	and	and	CC
20165	1672	41	others	other	NNS
20165	1672	42	.	.	.
20165	1673	1	There	there	EX
20165	1673	2	is	be	VBZ
20165	1673	3	also	also	RB
20165	1673	4	such	such	JJ
20165	1673	5	irregularity	irregularity	NN
20165	1673	6	about	about	IN
20165	1673	7	some	some	DT
20165	1673	8	of	of	IN
20165	1673	9	them	-PRON-	PRP
20165	1673	10	that	that	IN
20165	1673	11	perspective	perspective	JJ
20165	1673	12	rules	rule	NNS
20165	1673	13	,	,	,
20165	1673	14	beyond	beyond	IN
20165	1673	15	those	those	DT
20165	1673	16	few	few	JJ
20165	1673	17	here	here	RB
20165	1673	18	given	give	VBN
20165	1673	19	,	,	,
20165	1673	20	are	be	VBP
20165	1673	21	of	of	IN
20165	1673	22	very	very	RB
20165	1673	23	little	little	JJ
20165	1673	24	use	use	NN
20165	1673	25	.	.	.
20165	1674	1	So	so	RB
20165	1674	2	that	that	IN
20165	1674	3	the	the	DT
20165	1674	4	best	good	JJS
20165	1674	5	thing	thing	NN
20165	1674	6	for	for	IN
20165	1674	7	an	an	DT
20165	1674	8	artist	artist	NN
20165	1674	9	to	to	TO
20165	1674	10	do	do	VB
20165	1674	11	is	be	VBZ
20165	1674	12	to	to	TO
20165	1674	13	sketch	sketch	VB
20165	1674	14	them	-PRON-	PRP
20165	1674	15	from	from	IN
20165	1674	16	the	the	DT
20165	1674	17	real	real	JJ
20165	1674	18	whenever	whenever	WRB
20165	1674	19	he	-PRON-	PRP
20165	1674	20	has	have	VBZ
20165	1674	21	an	an	DT
20165	1674	22	opportunity	opportunity	NN
20165	1674	23	.	.	.
20165	1675	1	[	[	-LRB-
20165	1675	2	Illustration	illustration	NN
20165	1675	3	:	:	:
20165	1675	4	Fig	Fig	NNP
20165	1675	5	.	.	.
20165	1676	1	230	230	CD
20165	1676	2	.	.	.
20165	1676	3	]	]	-RRB-
20165	1677	1	[	[	-LRB-
20165	1677	2	Illustration	illustration	NN
20165	1677	3	:	:	:
20165	1677	4	Fig	Fig	NNP
20165	1677	5	.	.	.
20165	1678	1	231	231	CD
20165	1678	2	.	.	.
20165	1678	3	]	]	-RRB-
20165	1679	1	CXXVI	CXXVI	NNP
20165	1679	2	OF	of	IN
20165	1679	3	ARCHES	ARCHES	NNP
20165	1679	4	,	,	,
20165	1679	5	ARCADES	ARCADES	NNP
20165	1679	6	,	,	,
20165	1679	7	BRIDGES	BRIDGES	NNP
20165	1679	8	,	,	,
20165	1679	9	&	&	CC
20165	1679	10	C.	C.	NNP
20165	1679	11	[	[	-LRB-
20165	1679	12	Illustration	illustration	NN
20165	1679	13	:	:	:
20165	1679	14	Fig	Fig	NNP
20165	1679	15	.	.	.
20165	1680	1	232	232	CD
20165	1680	2	.	.	.
20165	1680	3	]	]	-RRB-
20165	1681	1	For	for	IN
20165	1681	2	an	an	DT
20165	1681	3	arcade	arcade	NN
20165	1681	4	or	or	CC
20165	1681	5	cloister	cloister	NN
20165	1681	6	(	(	-LRB-
20165	1681	7	Fig	fig	NN
20165	1681	8	.	.	.
20165	1682	1	232	232	CD
20165	1682	2	)	)	-RRB-
20165	1682	3	first	first	RB
20165	1682	4	set	set	VBD
20165	1682	5	up	up	RP
20165	1682	6	the	the	DT
20165	1682	7	outer	outer	JJ
20165	1682	8	frame	frame	NN
20165	1682	9	_	_	NNP
20165	1682	10	ABCD	ABCD	NNP
20165	1682	11	_	_	NNP
20165	1682	12	according	accord	VBG
20165	1682	13	to	to	IN
20165	1682	14	the	the	DT
20165	1682	15	proportions	proportion	NNS
20165	1682	16	required	require	VBN
20165	1682	17	.	.	.
20165	1683	1	For	for	IN
20165	1683	2	round	round	JJ
20165	1683	3	arches	arch	NNS
20165	1683	4	the	the	DT
20165	1683	5	height	height	NN
20165	1683	6	may	may	MD
20165	1683	7	be	be	VB
20165	1683	8	twice	twice	RB
20165	1683	9	that	that	DT
20165	1683	10	of	of	IN
20165	1683	11	the	the	DT
20165	1683	12	base	base	NN
20165	1683	13	,	,	,
20165	1683	14	varying	vary	VBG
20165	1683	15	to	to	IN
20165	1683	16	one	one	CD
20165	1683	17	and	and	CC
20165	1683	18	a	a	DT
20165	1683	19	half	half	NN
20165	1683	20	.	.	.
20165	1684	1	In	in	IN
20165	1684	2	Gothic	Gothic	NNP
20165	1684	3	arches	arch	VBZ
20165	1684	4	the	the	DT
20165	1684	5	height	height	NN
20165	1684	6	may	may	MD
20165	1684	7	be	be	VB
20165	1684	8	about	about	RB
20165	1684	9	three	three	CD
20165	1684	10	times	time	NNS
20165	1684	11	the	the	DT
20165	1684	12	width	width	NN
20165	1684	13	,	,	,
20165	1684	14	all	all	DT
20165	1684	15	of	of	IN
20165	1684	16	which	which	WDT
20165	1684	17	proportions	proportion	NNS
20165	1684	18	are	be	VBP
20165	1684	19	chosen	choose	VBN
20165	1684	20	to	to	TO
20165	1684	21	suit	suit	VB
20165	1684	22	the	the	DT
20165	1684	23	different	different	JJ
20165	1684	24	purposes	purpose	NNS
20165	1684	25	and	and	CC
20165	1684	26	effects	effect	NNS
20165	1684	27	required	require	VBN
20165	1684	28	.	.	.
20165	1685	1	Divide	divide	VB
20165	1685	2	the	the	DT
20165	1685	3	base	base	NN
20165	1685	4	_	_	NNP
20165	1685	5	AB	AB	NNP
20165	1685	6	_	_	NNP
20165	1685	7	into	into	IN
20165	1685	8	the	the	DT
20165	1685	9	desired	desire	VBN
20165	1685	10	number	number	NN
20165	1685	11	of	of	IN
20165	1685	12	parts	part	NNS
20165	1685	13	,	,	,
20165	1685	14	8	8	CD
20165	1685	15	,	,	,
20165	1685	16	10	10	CD
20165	1685	17	,	,	,
20165	1685	18	12	12	CD
20165	1685	19	,	,	,
20165	1685	20	&	&	CC
20165	1685	21	c.	c.	NNP
20165	1685	22	,	,	,
20165	1685	23	each	each	DT
20165	1685	24	part	part	NN
20165	1685	25	representing	represent	VBG
20165	1685	26	1	1	CD
20165	1685	27	foot	foot	NN
20165	1685	28	.	.	.
20165	1686	1	(	(	-LRB-
20165	1686	2	In	in	IN
20165	1686	3	this	this	DT
20165	1686	4	case	case	NN
20165	1686	5	the	the	DT
20165	1686	6	base	base	NN
20165	1686	7	is	be	VBZ
20165	1686	8	10	10	CD
20165	1686	9	feet	foot	NNS
20165	1686	10	and	and	CC
20165	1686	11	the	the	DT
20165	1686	12	horizon	horizon	NN
20165	1686	13	5	5	CD
20165	1686	14	feet	foot	NNS
20165	1686	15	.	.	.
20165	1686	16	)	)	-RRB-
20165	1687	1	Set	Set	VBN
20165	1687	2	out	out	RP
20165	1687	3	floor	floor	NN
20165	1687	4	by	by	IN
20165	1687	5	means	mean	NNS
20165	1687	6	of	of	IN
20165	1687	7	¼	¼	NNP
20165	1687	8	distance	distance	NN
20165	1687	9	.	.	.
20165	1688	1	Divide	divide	VB
20165	1688	2	it	-PRON-	PRP
20165	1688	3	into	into	IN
20165	1688	4	squares	square	NNS
20165	1688	5	of	of	IN
20165	1688	6	1	1	CD
20165	1688	7	foot	foot	NN
20165	1688	8	,	,	,
20165	1688	9	so	so	IN
20165	1688	10	that	that	IN
20165	1688	11	there	there	EX
20165	1688	12	will	will	MD
20165	1688	13	be	be	VB
20165	1688	14	8	8	CD
20165	1688	15	feet	foot	NNS
20165	1688	16	between	between	IN
20165	1688	17	each	each	DT
20165	1688	18	column	column	NN
20165	1688	19	or	or	CC
20165	1688	20	pilaster	pilaster	NN
20165	1688	21	,	,	,
20165	1688	22	supposing	suppose	VBG
20165	1688	23	we	-PRON-	PRP
20165	1688	24	make	make	VBP
20165	1688	25	them	-PRON-	PRP
20165	1688	26	to	to	TO
20165	1688	27	stand	stand	VB
20165	1688	28	on	on	IN
20165	1688	29	a	a	DT
20165	1688	30	square	square	JJ
20165	1688	31	foot	foot	NN
20165	1688	32	.	.	.
20165	1689	1	Draw	draw	VB
20165	1689	2	the	the	DT
20165	1689	3	first	first	JJ
20165	1689	4	archway	archway	NN
20165	1689	5	_	_	NNP
20165	1689	6	EKF	EKF	NNP
20165	1689	7	_	_	NNP
20165	1689	8	facing	face	VBG
20165	1689	9	us	-PRON-	PRP
20165	1689	10	,	,	,
20165	1689	11	and	and	CC
20165	1689	12	its	-PRON-	PRP$
20165	1689	13	inner	inner	JJ
20165	1689	14	semicircle	semicircle	NN
20165	1689	15	_	_	NNP
20165	1689	16	gh	gh	NNP
20165	1689	17	_	_	NNP
20165	1689	18	,	,	,
20165	1689	19	with	with	IN
20165	1689	20	also	also	RB
20165	1689	21	its	-PRON-	PRP$
20165	1689	22	thickness	thickness	NN
20165	1689	23	or	or	CC
20165	1689	24	depth	depth	NN
20165	1689	25	of	of	IN
20165	1689	26	1	1	CD
20165	1689	27	foot	foot	NN
20165	1689	28	.	.	.
20165	1690	1	Draw	draw	VB
20165	1690	2	the	the	DT
20165	1690	3	span	span	NN
20165	1690	4	of	of	IN
20165	1690	5	the	the	DT
20165	1690	6	archway	archway	NN
20165	1690	7	_	_	NNP
20165	1690	8	EF	EF	NNP
20165	1690	9	_	_	NNP
20165	1690	10	,	,	,
20165	1690	11	then	then	RB
20165	1690	12	central	central	JJ
20165	1690	13	line	line	NN
20165	1690	14	_	_	NNP
20165	1690	15	PO	PO	NNP
20165	1690	16	_	_	NNP
20165	1690	17	to	to	IN
20165	1690	18	point	point	NN
20165	1690	19	of	of	IN
20165	1690	20	sight	sight	NN
20165	1690	21	.	.	.
20165	1691	1	Proceed	proceed	VB
20165	1691	2	to	to	TO
20165	1691	3	raise	raise	VB
20165	1691	4	as	as	RB
20165	1691	5	many	many	JJ
20165	1691	6	other	other	JJ
20165	1691	7	arches	arch	NNS
20165	1691	8	as	as	IN
20165	1691	9	required	require	VBN
20165	1691	10	at	at	IN
20165	1691	11	the	the	DT
20165	1691	12	given	give	VBN
20165	1691	13	distances	distance	NNS
20165	1691	14	.	.	.
20165	1692	1	The	the	DT
20165	1692	2	intersections	intersection	NNS
20165	1692	3	of	of	IN
20165	1692	4	the	the	DT
20165	1692	5	central	central	JJ
20165	1692	6	line	line	NN
20165	1692	7	with	with	IN
20165	1692	8	the	the	DT
20165	1692	9	chords	chord	NNS
20165	1692	10	_	_	NNP
20165	1692	11	mn	mn	NNP
20165	1692	12	_	_	NNP
20165	1692	13	,	,	,
20165	1692	14	&	&	CC
20165	1692	15	c.	c.	NNP
20165	1692	16	,	,	,
20165	1692	17	will	will	MD
20165	1692	18	give	give	VB
20165	1692	19	the	the	DT
20165	1692	20	centres	centre	NNS
20165	1692	21	from	from	IN
20165	1692	22	which	which	WDT
20165	1692	23	to	to	TO
20165	1692	24	describe	describe	VB
20165	1692	25	the	the	DT
20165	1692	26	semicircles	semicircle	NNS
20165	1692	27	.	.	.
20165	1693	1	CXXVII	CXXVII	NNP
20165	1693	2	OUTLINE	OUTLINE	NNP
20165	1693	3	OF	of	IN
20165	1693	4	AN	an	DT
20165	1693	5	ARCADE	ARCADE	NNP
20165	1693	6	WITH	with	IN
20165	1693	7	SEMICIRCULAR	SEMICIRCULAR	NNP
20165	1693	8	ARCHES	ARCHES	NNP
20165	1693	9	This	this	DT
20165	1693	10	is	be	VBZ
20165	1693	11	to	to	TO
20165	1693	12	show	show	VB
20165	1693	13	the	the	DT
20165	1693	14	method	method	NN
20165	1693	15	of	of	IN
20165	1693	16	drawing	draw	VBG
20165	1693	17	a	a	DT
20165	1693	18	long	long	JJ
20165	1693	19	passage	passage	NN
20165	1693	20	,	,	,
20165	1693	21	corridor	corridor	NN
20165	1693	22	,	,	,
20165	1693	23	or	or	CC
20165	1693	24	cloister	cloister	NN
20165	1693	25	with	with	IN
20165	1693	26	arches	arch	NNS
20165	1693	27	and	and	CC
20165	1693	28	columns	column	NNS
20165	1693	29	at	at	IN
20165	1693	30	equal	equal	JJ
20165	1693	31	distances	distance	NNS
20165	1693	32	,	,	,
20165	1693	33	and	and	CC
20165	1693	34	is	be	VBZ
20165	1693	35	worked	work	VBN
20165	1693	36	in	in	IN
20165	1693	37	the	the	DT
20165	1693	38	same	same	JJ
20165	1693	39	way	way	NN
20165	1693	40	as	as	IN
20165	1693	41	the	the	DT
20165	1693	42	previous	previous	JJ
20165	1693	43	figure	figure	NN
20165	1693	44	,	,	,
20165	1693	45	using	use	VBG
20165	1693	46	¼	¼	JJ
20165	1693	47	distance	distance	NN
20165	1693	48	and	and	CC
20165	1693	49	¼	¼	NNP
20165	1693	50	base	base	NN
20165	1693	51	.	.	.
20165	1694	1	The	the	DT
20165	1694	2	floor	floor	NN
20165	1694	3	consists	consist	VBZ
20165	1694	4	of	of	IN
20165	1694	5	five	five	CD
20165	1694	6	squares	square	NNS
20165	1694	7	;	;	:
20165	1694	8	the	the	DT
20165	1694	9	semicircles	semicircle	NNS
20165	1694	10	of	of	IN
20165	1694	11	the	the	DT
20165	1694	12	arches	arch	NNS
20165	1694	13	are	be	VBP
20165	1694	14	described	describe	VBN
20165	1694	15	from	from	IN
20165	1694	16	the	the	DT
20165	1694	17	numbered	numbered	JJ
20165	1694	18	points	point	NNS
20165	1694	19	on	on	IN
20165	1694	20	the	the	DT
20165	1694	21	central	central	JJ
20165	1694	22	line	line	NN
20165	1694	23	_	_	NNP
20165	1694	24	OS	OS	NNP
20165	1694	25	_	_	NNP
20165	1694	26	,	,	,
20165	1694	27	where	where	WRB
20165	1694	28	it	-PRON-	PRP
20165	1694	29	intersects	intersect	VBZ
20165	1694	30	the	the	DT
20165	1694	31	chords	chord	NNS
20165	1694	32	of	of	IN
20165	1694	33	the	the	DT
20165	1694	34	arches	arch	NNS
20165	1694	35	.	.	.
20165	1695	1	[	[	-LRB-
20165	1695	2	Illustration	illustration	NN
20165	1695	3	:	:	:
20165	1695	4	Fig	Fig	NNP
20165	1695	5	.	.	.
20165	1696	1	233	233	CD
20165	1696	2	.	.	.
20165	1696	3	]	]	-RRB-
20165	1697	1	CXXVIII	CXXVIII	NNP
20165	1697	2	SEMICIRCULAR	SEMICIRCULAR	NNP
20165	1697	3	ARCHES	arch	NNS
20165	1697	4	ON	on	IN
20165	1697	5	A	a	DT
20165	1697	6	RETREATING	RETREATING	NNP
20165	1697	7	PLANE	plane	NN
20165	1697	8	First	first	RB
20165	1697	9	draw	draw	VBP
20165	1697	10	perspective	perspective	NN
20165	1697	11	square	square	NN
20165	1697	12	_	_	NNP
20165	1697	13	abcd	abcd	NNP
20165	1697	14	_	_	NNP
20165	1697	15	.	.	.
20165	1698	1	Let	let	VB
20165	1698	2	_	_	NNP
20165	1698	3	ae	ae	NNP
20165	1698	4	·	·	NFP
20165	1698	5	_	_	NNP
20165	1698	6	be	be	VB
20165	1698	7	the	the	DT
20165	1698	8	height	height	NN
20165	1698	9	of	of	IN
20165	1698	10	the	the	DT
20165	1698	11	figure	figure	NN
20165	1698	12	.	.	.
20165	1699	1	Draw	draw	VB
20165	1699	2	_	_	NNP
20165	1699	3	ae·f·b	ae·f·b	VBZ
20165	1699	4	_	_	NNP
20165	1699	5	and	and	CC
20165	1699	6	proceed	proceed	VB
20165	1699	7	with	with	IN
20165	1699	8	the	the	DT
20165	1699	9	rest	rest	NN
20165	1699	10	of	of	IN
20165	1699	11	the	the	DT
20165	1699	12	outline	outline	NN
20165	1699	13	.	.	.
20165	1700	1	To	to	TO
20165	1700	2	draw	draw	VB
20165	1700	3	the	the	DT
20165	1700	4	arches	arch	NNS
20165	1700	5	begin	begin	VB
20165	1700	6	with	with	IN
20165	1700	7	the	the	DT
20165	1700	8	one	one	NN
20165	1700	9	facing	face	VBG
20165	1700	10	us	-PRON-	PRP
20165	1700	11	,	,	,
20165	1700	12	_	_	NNP
20165	1700	13	Eo·F	Eo·F	NNP
20165	1700	14	_	_	NNP
20165	1700	15	enclosed	enclose	VBD
20165	1700	16	in	in	IN
20165	1700	17	the	the	DT
20165	1700	18	quadrangle	quadrangle	NNP
20165	1700	19	_	_	NNP
20165	1700	20	Ee·f·F	Ee·f·F	NNP
20165	1700	21	_	_	NNP
20165	1700	22	.	.	.
20165	1701	1	With	with	IN
20165	1701	2	centre	centre	NN
20165	1701	3	_	_	NNP
20165	1701	4	O	O	NNP
20165	1701	5	_	_	NNP
20165	1701	6	describe	describe	VBP
20165	1701	7	the	the	DT
20165	1701	8	semicircle	semicircle	NN
20165	1701	9	and	and	CC
20165	1701	10	across	across	IN
20165	1701	11	it	-PRON-	PRP
20165	1701	12	draw	draw	VB
20165	1701	13	the	the	DT
20165	1701	14	diagonals	diagonal	NNS
20165	1701	15	_	_	NNP
20165	1701	16	e·F	e·F	NNP
20165	1701	17	_	_	NNP
20165	1701	18	,	,	,
20165	1701	19	_	_	NNP
20165	1701	20	Ef	Ef	NNP
20165	1701	21	·	·	NFP
20165	1701	22	_	_	NNP
20165	1701	23	,	,	,
20165	1701	24	and	and	CC
20165	1701	25	through	through	IN
20165	1701	26	_	_	NNP
20165	1701	27	nn	nn	NNP
20165	1701	28	_	_	NNP
20165	1701	29	,	,	,
20165	1701	30	where	where	WRB
20165	1701	31	these	these	DT
20165	1701	32	lines	line	NNS
20165	1701	33	intersect	intersect	VBP
20165	1701	34	the	the	DT
20165	1701	35	semicircle	semicircle	NN
20165	1701	36	,	,	,
20165	1701	37	draw	draw	VB
20165	1701	38	horizontal	horizontal	NNP
20165	1701	39	_	_	NNP
20165	1701	40	KK	KK	NNP
20165	1701	41	_	_	NNP
20165	1701	42	and	and	CC
20165	1701	43	also	also	RB
20165	1701	44	_	_	NNP
20165	1701	45	KS	KS	NNP
20165	1701	46	_	_	NNP
20165	1701	47	to	to	IN
20165	1701	48	point	point	NN
20165	1701	49	of	of	IN
20165	1701	50	sight	sight	NN
20165	1701	51	.	.	.
20165	1702	1	It	-PRON-	PRP
20165	1702	2	will	will	MD
20165	1702	3	be	be	VB
20165	1702	4	seen	see	VBN
20165	1702	5	that	that	IN
20165	1702	6	the	the	DT
20165	1702	7	half	half	JJ
20165	1702	8	-	-	HYPH
20165	1702	9	squares	square	NNS
20165	1702	10	at	at	IN
20165	1702	11	the	the	DT
20165	1702	12	side	side	NN
20165	1702	13	are	be	VBP
20165	1702	14	the	the	DT
20165	1702	15	same	same	JJ
20165	1702	16	size	size	NN
20165	1702	17	in	in	IN
20165	1702	18	perspective	perspective	NN
20165	1702	19	as	as	IN
20165	1702	20	the	the	DT
20165	1702	21	one	one	NN
20165	1702	22	facing	face	VBG
20165	1702	23	us	-PRON-	PRP
20165	1702	24	,	,	,
20165	1702	25	and	and	CC
20165	1702	26	we	-PRON-	PRP
20165	1702	27	carry	carry	VBP
20165	1702	28	out	out	RP
20165	1702	29	in	in	IN
20165	1702	30	them	-PRON-	PRP
20165	1702	31	much	much	RB
20165	1702	32	the	the	DT
20165	1702	33	same	same	JJ
20165	1702	34	operation	operation	NN
20165	1702	35	;	;	:
20165	1702	36	that	that	RB
20165	1702	37	is	is	RB
20165	1702	38	,	,	,
20165	1702	39	we	-PRON-	PRP
20165	1702	40	draw	draw	VBP
20165	1702	41	the	the	DT
20165	1702	42	diagonals	diagonal	NNS
20165	1702	43	,	,	,
20165	1702	44	find	find	VB
20165	1702	45	the	the	DT
20165	1702	46	point	point	NN
20165	1702	47	_	_	NNP
20165	1702	48	O	O	NNP
20165	1702	49	_	_	NNP
20165	1702	50	,	,	,
20165	1702	51	and	and	CC
20165	1702	52	the	the	DT
20165	1702	53	points	point	NNS
20165	1702	54	_	_	NNP
20165	1702	55	nn	nn	NNP
20165	1702	56	_	_	NNP
20165	1702	57	,	,	,
20165	1702	58	&	&	CC
20165	1702	59	c.	c.	NNP
20165	1702	60	,	,	,
20165	1702	61	through	through	IN
20165	1702	62	which	which	WDT
20165	1702	63	to	to	TO
20165	1702	64	draw	draw	VB
20165	1702	65	our	-PRON-	PRP$
20165	1702	66	arches	arch	NNS
20165	1702	67	.	.	.
20165	1703	1	See	see	VB
20165	1703	2	perspective	perspective	NN
20165	1703	3	of	of	IN
20165	1703	4	the	the	DT
20165	1703	5	circle	circle	NN
20165	1703	6	(	(	-LRB-
20165	1703	7	Fig	fig	NN
20165	1703	8	.	.	.
20165	1704	1	165	165	CD
20165	1704	2	)	)	-RRB-
20165	1704	3	.	.	.
20165	1705	1	[	[	-LRB-
20165	1705	2	Illustration	illustration	NN
20165	1705	3	:	:	:
20165	1705	4	Fig	Fig	NNP
20165	1705	5	.	.	.
20165	1706	1	234	234	CD
20165	1706	2	.	.	.
20165	1706	3	]	]	-RRB-
20165	1707	1	If	if	IN
20165	1707	2	more	more	JJR
20165	1707	3	points	point	NNS
20165	1707	4	are	be	VBP
20165	1707	5	required	require	VBN
20165	1707	6	an	an	DT
20165	1707	7	additional	additional	JJ
20165	1707	8	diagonal	diagonal	NN
20165	1707	9	from	from	IN
20165	1707	10	_	_	NNP
20165	1707	11	O	O	NNP
20165	1707	12	_	_	NNP
20165	1707	13	to	to	IN
20165	1707	14	_	_	NNP
20165	1707	15	K	K	NNP
20165	1707	16	_	_	NNP
20165	1707	17	may	may	MD
20165	1707	18	be	be	VB
20165	1707	19	used	use	VBN
20165	1707	20	,	,	,
20165	1707	21	as	as	IN
20165	1707	22	shown	show	VBN
20165	1707	23	in	in	IN
20165	1707	24	the	the	DT
20165	1707	25	figure	figure	NN
20165	1707	26	,	,	,
20165	1707	27	which	which	WDT
20165	1707	28	perhaps	perhaps	RB
20165	1707	29	explains	explain	VBZ
20165	1707	30	itself	-PRON-	PRP
20165	1707	31	.	.	.
20165	1708	1	The	the	DT
20165	1708	2	method	method	NN
20165	1708	3	is	be	VBZ
20165	1708	4	very	very	RB
20165	1708	5	old	old	JJ
20165	1708	6	and	and	CC
20165	1708	7	very	very	RB
20165	1708	8	simple	simple	JJ
20165	1708	9	,	,	,
20165	1708	10	and	and	CC
20165	1708	11	of	of	IN
20165	1708	12	course	course	NN
20165	1708	13	can	can	MD
20165	1708	14	be	be	VB
20165	1708	15	applied	apply	VBN
20165	1708	16	to	to	IN
20165	1708	17	any	any	DT
20165	1708	18	kind	kind	NN
20165	1708	19	of	of	IN
20165	1708	20	arch	arch	JJ
20165	1708	21	,	,	,
20165	1708	22	pointed	pointed	JJ
20165	1708	23	or	or	CC
20165	1708	24	stunted	stunt	VBN
20165	1708	25	,	,	,
20165	1708	26	as	as	IN
20165	1708	27	in	in	IN
20165	1708	28	this	this	DT
20165	1708	29	drawing	drawing	NN
20165	1708	30	of	of	IN
20165	1708	31	a	a	DT
20165	1708	32	pointed	pointed	JJ
20165	1708	33	arch	arch	NN
20165	1708	34	(	(	-LRB-
20165	1708	35	Fig	fig	NN
20165	1708	36	.	.	.
20165	1709	1	235	235	LS
20165	1709	2	)	)	-RRB-
20165	1709	3	.	.	.
20165	1710	1	[	[	-LRB-
20165	1710	2	Illustration	illustration	NN
20165	1710	3	:	:	:
20165	1710	4	Fig	Fig	NNP
20165	1710	5	.	.	.
20165	1711	1	235	235	CD
20165	1711	2	.	.	.
20165	1711	3	]	]	-RRB-
20165	1712	1	CXXIX	cxxix	VB
20165	1712	2	AN	an	DT
20165	1712	3	ARCADE	arcade	NN
20165	1712	4	IN	in	IN
20165	1712	5	ANGULAR	ANGULAR	NNP
20165	1712	6	PERSPECTIVE	perspective	NN
20165	1712	7	First	first	RB
20165	1712	8	draw	draw	VB
20165	1712	9	the	the	DT
20165	1712	10	perspective	perspective	NN
20165	1712	11	square	square	NN
20165	1712	12	_	_	NNP
20165	1712	13	ABCD	ABCD	NNP
20165	1712	14	_	_	NNP
20165	1712	15	at	at	IN
20165	1712	16	the	the	DT
20165	1712	17	angle	angle	NN
20165	1712	18	required	require	VBN
20165	1712	19	,	,	,
20165	1712	20	by	by	IN
20165	1712	21	new	new	JJ
20165	1712	22	method	method	NN
20165	1712	23	.	.	.
20165	1713	1	Produce	produce	NN
20165	1713	2	sides	side	NNS
20165	1713	3	_	_	NNP
20165	1713	4	AD	AD	NNP
20165	1713	5	_	_	NNP
20165	1713	6	and	and	CC
20165	1713	7	_	_	NNP
20165	1713	8	BC	BC	NNP
20165	1713	9	_	_	NNP
20165	1713	10	to	to	IN
20165	1713	11	_	_	NNP
20165	1713	12	V	V	NNP
20165	1713	13	_	_	NNP
20165	1713	14	.	.	.
20165	1714	1	Draw	draw	VB
20165	1714	2	diagonal	diagonal	JJ
20165	1714	3	_	_	NNP
20165	1714	4	BD	BD	NNP
20165	1714	5	_	_	NNP
20165	1714	6	and	and	CC
20165	1714	7	produce	produce	VB
20165	1714	8	to	to	TO
20165	1714	9	point	point	VB
20165	1714	10	_	_	NNP
20165	1714	11	G	G	NNP
20165	1714	12	_	_	NNP
20165	1714	13	,	,	,
20165	1714	14	from	from	IN
20165	1714	15	whence	whence	NN
20165	1714	16	we	-PRON-	PRP
20165	1714	17	draw	draw	VBP
20165	1714	18	the	the	DT
20165	1714	19	other	other	JJ
20165	1714	20	diagonals	diagonal	NNS
20165	1714	21	to	to	IN
20165	1714	22	_	_	NNP
20165	1714	23	cfh	cfh	NNP
20165	1714	24	_	_	NNP
20165	1714	25	.	.	.
20165	1715	1	Make	make	VB
20165	1715	2	spaces	space	NNS
20165	1715	3	1	1	CD
20165	1715	4	,	,	,
20165	1715	5	2	2	CD
20165	1715	6	,	,	,
20165	1715	7	3	3	CD
20165	1715	8	,	,	,
20165	1715	9	&	&	CC
20165	1715	10	c.	c.	NNP
20165	1715	11	,	,	,
20165	1715	12	on	on	IN
20165	1715	13	base	base	NN
20165	1715	14	line	line	NN
20165	1715	15	equal	equal	JJ
20165	1715	16	to	to	IN
20165	1715	17	_	_	NNP
20165	1715	18	B	B	NNP
20165	1715	19	1	1	CD
20165	1715	20	_	_	NNP
20165	1715	21	to	to	TO
20165	1715	22	obtain	obtain	VB
20165	1715	23	sides	side	NNS
20165	1715	24	of	of	IN
20165	1715	25	squares	square	NNS
20165	1715	26	.	.	.
20165	1716	1	Raise	raise	VB
20165	1716	2	vertical	vertical	JJ
20165	1716	3	_	_	NNP
20165	1716	4	BM	BM	NNP
20165	1716	5	_	_	NNP
20165	1716	6	the	the	DT
20165	1716	7	height	height	NN
20165	1716	8	required	require	VBN
20165	1716	9	.	.	.
20165	1717	1	Produce	Produce	NNP
20165	1717	2	_	_	NNP
20165	1717	3	DA	DA	NNP
20165	1717	4	_	_	NNP
20165	1717	5	to	to	IN
20165	1717	6	_	_	NNP
20165	1717	7	O	O	NNP
20165	1717	8	_	_	NNP
20165	1717	9	on	on	IN
20165	1717	10	base	base	NN
20165	1717	11	line	line	NN
20165	1717	12	,	,	,
20165	1717	13	and	and	CC
20165	1717	14	from	from	IN
20165	1717	15	_	_	NNP
20165	1717	16	O	O	NNP
20165	1717	17	_	_	NNP
20165	1717	18	raise	raise	VBP
20165	1717	19	vertical	vertical	JJ
20165	1717	20	_	_	NNP
20165	1717	21	OP	OP	NNP
20165	1717	22	_	_	NNP
20165	1717	23	equal	equal	JJ
20165	1717	24	to	to	IN
20165	1717	25	_	_	NNP
20165	1717	26	BM	BM	NNP
20165	1717	27	_	_	NNP
20165	1717	28	.	.	.
20165	1718	1	This	this	DT
20165	1718	2	line	line	NN
20165	1718	3	enables	enable	VBZ
20165	1718	4	us	-PRON-	PRP
20165	1718	5	to	to	TO
20165	1718	6	dispense	dispense	VB
20165	1718	7	with	with	IN
20165	1718	8	the	the	DT
20165	1718	9	long	long	JJ
20165	1718	10	vanishing	vanishing	NN
20165	1718	11	point	point	NN
20165	1718	12	to	to	IN
20165	1718	13	the	the	DT
20165	1718	14	left	left	NN
20165	1718	15	;	;	:
20165	1718	16	its	-PRON-	PRP$
20165	1718	17	working	working	NN
20165	1718	18	has	have	VBZ
20165	1718	19	been	be	VBN
20165	1718	20	explained	explain	VBN
20165	1718	21	at	at	IN
20165	1718	22	Fig	Fig	NNP
20165	1718	23	.	.	.
20165	1719	1	131	131	CD
20165	1719	2	.	.	.
20165	1720	1	From	from	IN
20165	1720	2	_	_	NNP
20165	1720	3	P	P	NNP
20165	1720	4	_	_	NNP
20165	1720	5	draw	draw	NN
20165	1720	6	_	_	NNP
20165	1720	7	PRV	PRV	NNP
20165	1720	8	_	_	NNP
20165	1720	9	to	to	IN
20165	1720	10	vanishing	vanish	VBG
20165	1720	11	point	point	NN
20165	1720	12	_	_	NNP
20165	1720	13	V	V	NNP
20165	1720	14	_	_	NNP
20165	1720	15	,	,	,
20165	1720	16	which	which	WDT
20165	1720	17	will	will	MD
20165	1720	18	intersect	intersect	VB
20165	1720	19	vertical	vertical	JJ
20165	1720	20	_	_	NNP
20165	1720	21	AR	AR	NNP
20165	1720	22	_	_	NNP
20165	1720	23	at	at	IN
20165	1720	24	_	_	NNP
20165	1720	25	R	R	NNP
20165	1720	26	_	_	NNP
20165	1720	27	.	.	.
20165	1721	1	Join	join	VB
20165	1721	2	_	_	NNP
20165	1721	3	MR	MR	NNP
20165	1721	4	_	_	NNP
20165	1721	5	,	,	,
20165	1721	6	and	and	CC
20165	1721	7	this	this	DT
20165	1721	8	line	line	NN
20165	1721	9	,	,	,
20165	1721	10	if	if	IN
20165	1721	11	produced	produce	VBN
20165	1721	12	,	,	,
20165	1721	13	would	would	MD
20165	1721	14	meet	meet	VB
20165	1721	15	the	the	DT
20165	1721	16	horizon	horizon	NN
20165	1721	17	at	at	IN
20165	1721	18	the	the	DT
20165	1721	19	other	other	JJ
20165	1721	20	vanishing	vanishing	NN
20165	1721	21	point	point	NN
20165	1721	22	.	.	.
20165	1722	1	In	in	IN
20165	1722	2	like	like	JJ
20165	1722	3	manner	manner	NN
20165	1722	4	make	make	VBP
20165	1722	5	O2	o2	NN
20165	1722	6	equal	equal	JJ
20165	1722	7	to	to	IN
20165	1722	8	B2	b2	NN
20165	1722	9	·	·	NFP
20165	1722	10	.	.	.
20165	1723	1	From	from	IN
20165	1723	2	2	2	CD
20165	1723	3	draw	draw	VB
20165	1723	4	line	line	NN
20165	1723	5	to	to	IN
20165	1723	6	_	_	NNP
20165	1723	7	V	V	NNP
20165	1723	8	_	_	NNP
20165	1723	9	,	,	,
20165	1723	10	and	and	CC
20165	1723	11	at	at	IN
20165	1723	12	2	2	CD
20165	1723	13	,	,	,
20165	1723	14	its	-PRON-	PRP$
20165	1723	15	intersection	intersection	NN
20165	1723	16	with	with	IN
20165	1723	17	_	_	NNP
20165	1723	18	AR	AR	NNP
20165	1723	19	_	_	NNP
20165	1723	20	,	,	,
20165	1723	21	draw	draw	VB
20165	1723	22	line	line	NN
20165	1723	23	2	2	CD
20165	1723	24	2	2	CD
20165	1723	25	,	,	,
20165	1723	26	which	which	WDT
20165	1723	27	will	will	MD
20165	1723	28	also	also	RB
20165	1723	29	meet	meet	VB
20165	1723	30	the	the	DT
20165	1723	31	horizon	horizon	NN
20165	1723	32	at	at	IN
20165	1723	33	the	the	DT
20165	1723	34	other	other	JJ
20165	1723	35	vanishing	vanishing	NN
20165	1723	36	point	point	NN
20165	1723	37	.	.	.
20165	1724	1	By	by	IN
20165	1724	2	means	mean	NNS
20165	1724	3	of	of	IN
20165	1724	4	the	the	DT
20165	1724	5	quarter	quarter	NN
20165	1724	6	-	-	HYPH
20165	1724	7	circle	circle	NN
20165	1724	8	_	_	NNP
20165	1724	9	A	A	NNP
20165	1724	10	_	_	NNP
20165	1724	11	we	-PRON-	PRP
20165	1724	12	can	can	MD
20165	1724	13	obtain	obtain	VB
20165	1724	14	the	the	DT
20165	1724	15	points	point	NNS
20165	1724	16	through	through	IN
20165	1724	17	which	which	WDT
20165	1724	18	to	to	TO
20165	1724	19	draw	draw	VB
20165	1724	20	the	the	DT
20165	1724	21	semicircular	semicircular	JJ
20165	1724	22	arches	arch	NNS
20165	1724	23	in	in	IN
20165	1724	24	the	the	DT
20165	1724	25	same	same	JJ
20165	1724	26	way	way	NN
20165	1724	27	as	as	IN
20165	1724	28	in	in	IN
20165	1724	29	the	the	DT
20165	1724	30	previous	previous	JJ
20165	1724	31	figure	figure	NN
20165	1724	32	.	.	.
20165	1725	1	[	[	-LRB-
20165	1725	2	Illustration	illustration	NN
20165	1725	3	:	:	:
20165	1725	4	Fig	Fig	NNP
20165	1725	5	.	.	.
20165	1726	1	236	236	CD
20165	1726	2	.	.	.
20165	1726	3	]	]	-RRB-
20165	1727	1	CXXX	CXXX	NNP
20165	1727	2	A	a	DT
20165	1727	3	VAULTED	VAULTED	NNP
20165	1727	4	CEILING	ceiling	NN
20165	1727	5	From	from	IN
20165	1727	6	the	the	DT
20165	1727	7	square	square	JJ
20165	1727	8	ceiling	ceiling	NN
20165	1727	9	_	_	NNP
20165	1727	10	ABCD	ABCD	NNP
20165	1727	11	_	_	NNP
20165	1727	12	we	-PRON-	PRP
20165	1727	13	have	have	VBP
20165	1727	14	,	,	,
20165	1727	15	as	as	IN
20165	1727	16	it	-PRON-	PRP
20165	1727	17	were	be	VBD
20165	1727	18	,	,	,
20165	1727	19	suspended	suspend	VBD
20165	1727	20	two	two	CD
20165	1727	21	arches	arch	NNS
20165	1727	22	from	from	IN
20165	1727	23	the	the	DT
20165	1727	24	two	two	CD
20165	1727	25	diagonals	diagonal	NNS
20165	1727	26	_	_	NNP
20165	1727	27	DB	DB	NNP
20165	1727	28	_	_	NNP
20165	1727	29	,	,	,
20165	1727	30	_	_	NNP
20165	1727	31	AC	AC	NNP
20165	1727	32	_	_	NNP
20165	1727	33	,	,	,
20165	1727	34	which	which	WDT
20165	1727	35	spring	spring	VBP
20165	1727	36	from	from	IN
20165	1727	37	the	the	DT
20165	1727	38	four	four	CD
20165	1727	39	corners	corner	NNS
20165	1727	40	of	of	IN
20165	1727	41	the	the	DT
20165	1727	42	square	square	NN
20165	1727	43	_	_	NNP
20165	1727	44	EFGH	EFGH	NNP
20165	1727	45	_	_	NNP
20165	1727	46	,	,	,
20165	1727	47	just	just	RB
20165	1727	48	underneath	underneath	IN
20165	1727	49	it	-PRON-	PRP
20165	1727	50	.	.	.
20165	1728	1	The	the	DT
20165	1728	2	curves	curve	NNS
20165	1728	3	of	of	IN
20165	1728	4	these	these	DT
20165	1728	5	arches	arch	NNS
20165	1728	6	,	,	,
20165	1728	7	which	which	WDT
20165	1728	8	are	be	VBP
20165	1728	9	not	not	RB
20165	1728	10	semicircular	semicircular	JJ
20165	1728	11	but	but	CC
20165	1728	12	elongated	elongated	JJ
20165	1728	13	,	,	,
20165	1728	14	are	be	VBP
20165	1728	15	obtained	obtain	VBN
20165	1728	16	by	by	IN
20165	1728	17	means	mean	NNS
20165	1728	18	of	of	IN
20165	1728	19	the	the	DT
20165	1728	20	vanishing	vanish	VBG
20165	1728	21	scales	scale	NNS
20165	1728	22	_	_	NNP
20165	1728	23	mS	mS	NNP
20165	1728	24	_	_	NNP
20165	1728	25	,	,	,
20165	1728	26	_	_	NNP
20165	1728	27	nS	nS	NNP
20165	1728	28	_	_	NNP
20165	1728	29	.	.	.
20165	1729	1	Take	take	VB
20165	1729	2	any	any	DT
20165	1729	3	two	two	CD
20165	1729	4	convenient	convenient	JJ
20165	1729	5	points	point	NNS
20165	1729	6	_	_	NNP
20165	1729	7	P	P	NNP
20165	1729	8	_	_	NNP
20165	1729	9	,	,	,
20165	1729	10	_	_	NNP
20165	1729	11	R	R	NNP
20165	1729	12	_	_	NNP
20165	1729	13	,	,	,
20165	1729	14	on	on	IN
20165	1729	15	each	each	DT
20165	1729	16	side	side	NN
20165	1729	17	of	of	IN
20165	1729	18	the	the	DT
20165	1729	19	semicircle	semicircle	NN
20165	1729	20	,	,	,
20165	1729	21	and	and	CC
20165	1729	22	raise	raise	VB
20165	1729	23	verticals	vertical	NNS
20165	1729	24	_	_	NNP
20165	1729	25	Pm	Pm	NNP
20165	1729	26	_	_	NNP
20165	1729	27	,	,	,
20165	1729	28	_	_	NNP
20165	1729	29	Rn	Rn	NNP
20165	1729	30	_	_	NNP
20165	1729	31	to	to	IN
20165	1729	32	_	_	NNP
20165	1729	33	AB	AB	NNP
20165	1729	34	_	_	NNP
20165	1729	35	,	,	,
20165	1729	36	and	and	CC
20165	1729	37	on	on	IN
20165	1729	38	these	these	DT
20165	1729	39	verticals	vertical	NNS
20165	1729	40	form	form	VBP
20165	1729	41	the	the	DT
20165	1729	42	scales	scale	NNS
20165	1729	43	.	.	.
20165	1730	1	Where	where	WRB
20165	1730	2	_	_	NNP
20165	1730	3	mS	mS	NNP
20165	1730	4	_	_	NNP
20165	1730	5	and	and	CC
20165	1730	6	_	_	NNP
20165	1730	7	nS	nS	NNP
20165	1730	8	_	_	NNP
20165	1730	9	cut	cut	VBD
20165	1730	10	the	the	DT
20165	1730	11	diagonal	diagonal	JJ
20165	1730	12	_	_	NNP
20165	1730	13	AC	AC	NNP
20165	1730	14	_	_	NNP
20165	1730	15	drop	drop	VB
20165	1730	16	perpendiculars	perpendicular	NNS
20165	1730	17	to	to	TO
20165	1730	18	meet	meet	VB
20165	1730	19	the	the	DT
20165	1730	20	lower	low	JJR
20165	1730	21	line	line	NN
20165	1730	22	of	of	IN
20165	1730	23	the	the	DT
20165	1730	24	scale	scale	NN
20165	1730	25	at	at	IN
20165	1730	26	points	point	NNS
20165	1730	27	1	1	CD
20165	1730	28	,	,	,
20165	1730	29	2	2	CD
20165	1730	30	.	.	.
20165	1731	1	On	on	IN
20165	1731	2	the	the	DT
20165	1731	3	other	other	JJ
20165	1731	4	side	side	NN
20165	1731	5	,	,	,
20165	1731	6	using	use	VBG
20165	1731	7	the	the	DT
20165	1731	8	other	other	JJ
20165	1731	9	scales	scale	NNS
20165	1731	10	,	,	,
20165	1731	11	we	-PRON-	PRP
20165	1731	12	have	have	VBP
20165	1731	13	dropped	drop	VBN
20165	1731	14	perpendiculars	perpendicular	NNS
20165	1731	15	in	in	IN
20165	1731	16	the	the	DT
20165	1731	17	same	same	JJ
20165	1731	18	way	way	NN
20165	1731	19	from	from	IN
20165	1731	20	the	the	DT
20165	1731	21	diagonal	diagonal	JJ
20165	1731	22	to	to	IN
20165	1731	23	3	3	CD
20165	1731	24	,	,	,
20165	1731	25	4	4	CD
20165	1731	26	.	.	.
20165	1732	1	These	these	DT
20165	1732	2	points	point	NNS
20165	1732	3	,	,	,
20165	1732	4	together	together	RB
20165	1732	5	with	with	IN
20165	1732	6	_	_	NNP
20165	1732	7	EOG	EOG	NNP
20165	1732	8	_	_	NNP
20165	1732	9	,	,	,
20165	1732	10	enable	enable	VB
20165	1732	11	us	-PRON-	PRP
20165	1732	12	to	to	TO
20165	1732	13	trace	trace	VB
20165	1732	14	the	the	DT
20165	1732	15	curve	curve	NN
20165	1732	16	_	_	NNP
20165	1732	17	E	E	NNP
20165	1732	18	1	1	CD
20165	1732	19	2	2	CD
20165	1732	20	O	o	NN
20165	1732	21	3	3	CD
20165	1732	22	4	4	CD
20165	1732	23	G	g	NN
20165	1732	24	_	_	NNP
20165	1732	25	.	.	.
20165	1733	1	We	-PRON-	PRP
20165	1733	2	draw	draw	VBP
20165	1733	3	the	the	DT
20165	1733	4	arch	arch	NN
20165	1733	5	under	under	IN
20165	1733	6	the	the	DT
20165	1733	7	other	other	JJ
20165	1733	8	diagonal	diagonal	JJ
20165	1733	9	in	in	IN
20165	1733	10	precisely	precisely	RB
20165	1733	11	the	the	DT
20165	1733	12	same	same	JJ
20165	1733	13	way	way	NN
20165	1733	14	.	.	.
20165	1734	1	[	[	-LRB-
20165	1734	2	Illustration	illustration	NN
20165	1734	3	:	:	:
20165	1734	4	Fig	Fig	NNP
20165	1734	5	.	.	.
20165	1735	1	237	237	CD
20165	1735	2	.	.	.
20165	1735	3	]	]	-RRB-
20165	1736	1	The	the	DT
20165	1736	2	reason	reason	NN
20165	1736	3	for	for	IN
20165	1736	4	thus	thus	RB
20165	1736	5	proceeding	proceeding	NN
20165	1736	6	is	be	VBZ
20165	1736	7	that	that	IN
20165	1736	8	the	the	DT
20165	1736	9	cross	cross	NN
20165	1736	10	arches	arch	VBZ
20165	1736	11	,	,	,
20165	1736	12	although	although	IN
20165	1736	13	elongated	elongated	JJ
20165	1736	14	,	,	,
20165	1736	15	hang	hang	VB
20165	1736	16	from	from	IN
20165	1736	17	their	-PRON-	PRP$
20165	1736	18	diagonals	diagonal	NNS
20165	1736	19	just	just	RB
20165	1736	20	as	as	IN
20165	1736	21	the	the	DT
20165	1736	22	semicircular	semicircular	JJ
20165	1736	23	arch	arch	NN
20165	1736	24	_	_	NNP
20165	1736	25	EKF	EKF	NNP
20165	1736	26	_	_	NNP
20165	1736	27	hangs	hang	VBZ
20165	1736	28	from	from	IN
20165	1736	29	_	_	NNP
20165	1736	30	AB	AB	NNP
20165	1736	31	_	_	NNP
20165	1736	32	,	,	,
20165	1736	33	and	and	CC
20165	1736	34	the	the	DT
20165	1736	35	lines	line	NNS
20165	1736	36	_	_	NNP
20165	1736	37	mn	mn	NNP
20165	1736	38	_	_	NNP
20165	1736	39	,	,	,
20165	1736	40	touching	touch	VBG
20165	1736	41	the	the	DT
20165	1736	42	circle	circle	NN
20165	1736	43	at	at	IN
20165	1736	44	_	_	NNP
20165	1736	45	PR	PR	NNP
20165	1736	46	_	_	NNP
20165	1736	47	,	,	,
20165	1736	48	are	be	VBP
20165	1736	49	represented	represent	VBN
20165	1736	50	by	by	IN
20165	1736	51	1	1	CD
20165	1736	52	,	,	,
20165	1736	53	2	2	CD
20165	1736	54	,	,	,
20165	1736	55	hanging	hang	VBG
20165	1736	56	from	from	IN
20165	1736	57	the	the	DT
20165	1736	58	diagonal	diagonal	JJ
20165	1736	59	_	_	NNP
20165	1736	60	AC	AC	NNP
20165	1736	61	_	_	NNP
20165	1736	62	.	.	.
20165	1737	1	[	[	-LRB-
20165	1737	2	Illustration	illustration	NN
20165	1737	3	:	:	:
20165	1737	4	Fig	Fig	NNP
20165	1737	5	.	.	.
20165	1738	1	238	238	CD
20165	1738	2	.	.	.
20165	1738	3	]	]	-RRB-
20165	1739	1	Figure	figure	NN
20165	1739	2	238	238	CD
20165	1739	3	,	,	,
20165	1739	4	which	which	WDT
20165	1739	5	is	be	VBZ
20165	1739	6	practically	practically	RB
20165	1739	7	the	the	DT
20165	1739	8	same	same	JJ
20165	1739	9	as	as	IN
20165	1739	10	the	the	DT
20165	1739	11	preceding	precede	VBG
20165	1739	12	only	only	RB
20165	1739	13	differently	differently	RB
20165	1739	14	shaded	shaded	JJ
20165	1739	15	,	,	,
20165	1739	16	is	be	VBZ
20165	1739	17	drawn	draw	VBN
20165	1739	18	in	in	IN
20165	1739	19	the	the	DT
20165	1739	20	following	follow	VBG
20165	1739	21	manner	manner	NN
20165	1739	22	.	.	.
20165	1740	1	Draw	draw	VB
20165	1740	2	arch	arch	NN
20165	1740	3	_	_	NNP
20165	1740	4	EGF	EGF	NNP
20165	1740	5	_	_	NNP
20165	1740	6	facing	face	VBG
20165	1740	7	us	-PRON-	PRP
20165	1740	8	,	,	,
20165	1740	9	and	and	CC
20165	1740	10	proceed	proceed	VB
20165	1740	11	with	with	IN
20165	1740	12	the	the	DT
20165	1740	13	rest	rest	NN
20165	1740	14	of	of	IN
20165	1740	15	the	the	DT
20165	1740	16	corridor	corridor	NN
20165	1740	17	,	,	,
20165	1740	18	but	but	CC
20165	1740	19	first	first	RB
20165	1740	20	finding	find	VBG
20165	1740	21	the	the	DT
20165	1740	22	flat	flat	JJ
20165	1740	23	ceiling	ceiling	NN
20165	1740	24	above	above	IN
20165	1740	25	the	the	DT
20165	1740	26	square	square	NN
20165	1740	27	on	on	IN
20165	1740	28	the	the	DT
20165	1740	29	ground	ground	NN
20165	1740	30	_	_	NNP
20165	1740	31	ABcd	ABcd	NNP
20165	1740	32	_	_	NNP
20165	1740	33	.	.	.
20165	1741	1	Draw	Draw	NNP
20165	1741	2	diagonals	diagonal	NNS
20165	1741	3	_	_	NNP
20165	1741	4	ac	ac	NNP
20165	1741	5	_	_	NNP
20165	1741	6	,	,	,
20165	1741	7	_	_	NNP
20165	1741	8	bd	bd	NNP
20165	1741	9	_	_	NNP
20165	1741	10	,	,	,
20165	1741	11	and	and	CC
20165	1741	12	the	the	DT
20165	1741	13	curves	curve	NNS
20165	1741	14	pending	pende	VBG
20165	1741	15	from	from	IN
20165	1741	16	them	-PRON-	PRP
20165	1741	17	.	.	.
20165	1742	1	But	but	CC
20165	1742	2	we	-PRON-	PRP
20165	1742	3	no	no	RB
20165	1742	4	longer	longer	RB
20165	1742	5	see	see	VBP
20165	1742	6	the	the	DT
20165	1742	7	clear	clear	JJ
20165	1742	8	arch	arch	NN
20165	1742	9	as	as	IN
20165	1742	10	in	in	IN
20165	1742	11	the	the	DT
20165	1742	12	other	other	JJ
20165	1742	13	drawing	drawing	NN
20165	1742	14	,	,	,
20165	1742	15	for	for	IN
20165	1742	16	the	the	DT
20165	1742	17	spaces	space	NNS
20165	1742	18	between	between	IN
20165	1742	19	the	the	DT
20165	1742	20	curves	curve	NNS
20165	1742	21	are	be	VBP
20165	1742	22	filled	fill	VBN
20165	1742	23	in	in	IN
20165	1742	24	and	and	CC
20165	1742	25	arched	arch	VBN
20165	1742	26	across	across	RP
20165	1742	27	.	.	.
20165	1743	1	CXXXI	CXXXI	NNP
20165	1743	2	A	a	DT
20165	1743	3	CLOISTER	CLOISTER	NNP
20165	1743	4	,	,	,
20165	1743	5	FROM	from	IN
20165	1743	6	A	a	DT
20165	1743	7	PHOTOGRAPH	photograph	NN
20165	1743	8	This	this	DT
20165	1743	9	drawing	drawing	NN
20165	1743	10	of	of	IN
20165	1743	11	a	a	DT
20165	1743	12	cloister	cloister	NN
20165	1743	13	from	from	IN
20165	1743	14	a	a	DT
20165	1743	15	photograph	photograph	NN
20165	1743	16	shows	show	VBZ
20165	1743	17	the	the	DT
20165	1743	18	correctness	correctness	NN
20165	1743	19	of	of	IN
20165	1743	20	our	-PRON-	PRP$
20165	1743	21	perspective	perspective	NN
20165	1743	22	,	,	,
20165	1743	23	and	and	CC
20165	1743	24	the	the	DT
20165	1743	25	manner	manner	NN
20165	1743	26	of	of	IN
20165	1743	27	applying	apply	VBG
20165	1743	28	it	-PRON-	PRP
20165	1743	29	to	to	IN
20165	1743	30	practical	practical	JJ
20165	1743	31	work	work	NN
20165	1743	32	.	.	.
20165	1744	1	[	[	-LRB-
20165	1744	2	Illustration	illustration	NN
20165	1744	3	:	:	:
20165	1744	4	Fig	Fig	NNP
20165	1744	5	.	.	.
20165	1745	1	239	239	CD
20165	1745	2	.	.	.
20165	1745	3	]	]	-RRB-
20165	1746	1	CXXXII	cxxxii	VB
20165	1746	2	THE	the	DT
20165	1746	3	LOW	low	NN
20165	1746	4	OR	or	CC
20165	1746	5	ELLIPTICAL	ELLIPTICAL	NNP
20165	1746	6	ARCH	ARCH	NNPS
20165	1746	7	Let	let	VB
20165	1746	8	_	_	NNP
20165	1746	9	AB	AB	NNP
20165	1746	10	_	_	NNP
20165	1746	11	be	be	VB
20165	1746	12	the	the	DT
20165	1746	13	span	span	NN
20165	1746	14	of	of	IN
20165	1746	15	the	the	DT
20165	1746	16	arch	arch	NN
20165	1746	17	and	and	CC
20165	1746	18	_	_	NNP
20165	1746	19	Oh	oh	UH
20165	1746	20	_	_	NNP
20165	1746	21	its	-PRON-	PRP$
20165	1746	22	height	height	NN
20165	1746	23	.	.	.
20165	1747	1	From	from	IN
20165	1747	2	centre	centre	NN
20165	1747	3	_	_	NNP
20165	1747	4	O	O	NNP
20165	1747	5	_	_	NNP
20165	1747	6	,	,	,
20165	1747	7	with	with	IN
20165	1747	8	_	_	NNP
20165	1747	9	OA	OA	NNP
20165	1747	10	_	_	NNP
20165	1747	11	,	,	,
20165	1747	12	or	or	CC
20165	1747	13	half	half	PDT
20165	1747	14	the	the	DT
20165	1747	15	span	span	NN
20165	1747	16	,	,	,
20165	1747	17	for	for	IN
20165	1747	18	radius	radius	NN
20165	1747	19	,	,	,
20165	1747	20	describe	describe	VB
20165	1747	21	outer	outer	JJ
20165	1747	22	semicircle	semicircle	NN
20165	1747	23	.	.	.
20165	1748	1	From	from	IN
20165	1748	2	same	same	JJ
20165	1748	3	centre	centre	NN
20165	1748	4	and	and	CC
20165	1748	5	_	_	NNP
20165	1748	6	oh	oh	UH
20165	1748	7	_	_	NNP
20165	1748	8	for	for	IN
20165	1748	9	radius	radius	NN
20165	1748	10	describe	describe	VBP
20165	1748	11	the	the	DT
20165	1748	12	inner	inner	JJ
20165	1748	13	semicircle	semicircle	NN
20165	1748	14	.	.	.
20165	1749	1	Divide	divide	VB
20165	1749	2	outer	outer	JJ
20165	1749	3	circle	circle	NN
20165	1749	4	into	into	IN
20165	1749	5	a	a	DT
20165	1749	6	convenient	convenient	JJ
20165	1749	7	number	number	NN
20165	1749	8	of	of	IN
20165	1749	9	parts	part	NNS
20165	1749	10	,	,	,
20165	1749	11	1	1	CD
20165	1749	12	,	,	,
20165	1749	13	2	2	CD
20165	1749	14	,	,	,
20165	1749	15	3	3	CD
20165	1749	16	,	,	,
20165	1749	17	&	&	CC
20165	1749	18	c.	c.	NNP
20165	1749	19	,	,	,
20165	1749	20	to	to	TO
20165	1749	21	which	which	WDT
20165	1749	22	draw	draw	VB
20165	1749	23	radii	radii	NN
20165	1749	24	from	from	IN
20165	1749	25	centre	centre	NN
20165	1749	26	_	_	NNP
20165	1749	27	O	O	NNP
20165	1749	28	_	_	NNP
20165	1749	29	.	.	.
20165	1750	1	From	from	IN
20165	1750	2	each	each	DT
20165	1750	3	division	division	NN
20165	1750	4	drop	drop	NN
20165	1750	5	perpendiculars	perpendicular	NNS
20165	1750	6	.	.	.
20165	1751	1	Where	where	WRB
20165	1751	2	the	the	DT
20165	1751	3	radii	radii	NN
20165	1751	4	intersect	intersect	VBP
20165	1751	5	the	the	DT
20165	1751	6	inner	inner	JJ
20165	1751	7	circle	circle	NN
20165	1751	8	,	,	,
20165	1751	9	as	as	IN
20165	1751	10	at	at	IN
20165	1751	11	_	_	NNP
20165	1751	12	gkmo	gkmo	VBD
20165	1751	13	_	_	NNP
20165	1751	14	,	,	,
20165	1751	15	draw	draw	VB
20165	1751	16	horizontals	horizontal	NNS
20165	1751	17	_	_	NNP
20165	1751	18	op	op	NN
20165	1751	19	_	_	NNP
20165	1751	20	,	,	,
20165	1751	21	_	_	NNP
20165	1751	22	mn	mn	NNP
20165	1751	23	_	_	NNP
20165	1751	24	,	,	,
20165	1751	25	_	_	NNP
20165	1751	26	kj	kj	NNP
20165	1751	27	_	_	NNP
20165	1751	28	,	,	,
20165	1751	29	&	&	CC
20165	1751	30	c.	c.	NNP
20165	1751	31	,	,	,
20165	1751	32	and	and	CC
20165	1751	33	through	through	IN
20165	1751	34	their	-PRON-	PRP$
20165	1751	35	intersections	intersection	NNS
20165	1751	36	with	with	IN
20165	1751	37	the	the	DT
20165	1751	38	perpendiculars	perpendicular	NNS
20165	1751	39	_	_	NNP
20165	1751	40	f	f	NNP
20165	1751	41	_	_	NNP
20165	1751	42	,	,	,
20165	1751	43	_	_	NNP
20165	1751	44	j	j	NNP
20165	1751	45	_	_	NNP
20165	1751	46	,	,	,
20165	1751	47	_	_	NNP
20165	1751	48	n	n	NNP
20165	1751	49	_	_	NNP
20165	1751	50	,	,	,
20165	1751	51	_	_	NNP
20165	1751	52	p	p	NNP
20165	1751	53	_	_	NNP
20165	1751	54	,	,	,
20165	1751	55	draw	draw	VB
20165	1751	56	the	the	DT
20165	1751	57	curve	curve	NN
20165	1751	58	of	of	IN
20165	1751	59	the	the	DT
20165	1751	60	flattened	flattened	JJ
20165	1751	61	arch	arch	NN
20165	1751	62	.	.	.
20165	1752	1	Transfer	transfer	VB
20165	1752	2	this	this	DT
20165	1752	3	to	to	IN
20165	1752	4	the	the	DT
20165	1752	5	lower	low	JJR
20165	1752	6	figure	figure	NN
20165	1752	7	,	,	,
20165	1752	8	and	and	CC
20165	1752	9	proceed	proceed	VB
20165	1752	10	to	to	TO
20165	1752	11	draw	draw	VB
20165	1752	12	the	the	DT
20165	1752	13	tunnel	tunnel	NN
20165	1752	14	.	.	.
20165	1753	1	Note	note	VB
20165	1753	2	how	how	WRB
20165	1753	3	the	the	DT
20165	1753	4	vanishing	vanish	VBG
20165	1753	5	scale	scale	NN
20165	1753	6	is	be	VBZ
20165	1753	7	formed	form	VBN
20165	1753	8	on	on	IN
20165	1753	9	either	either	DT
20165	1753	10	side	side	NN
20165	1753	11	by	by	IN
20165	1753	12	horizontals	horizontal	NNS
20165	1753	13	_	_	NNP
20165	1753	14	ba	ba	NNP
20165	1753	15	_	_	NNP
20165	1753	16	,	,	,
20165	1753	17	_	_	NNP
20165	1753	18	fe	fe	NNP
20165	1753	19	_	_	NNP
20165	1753	20	,	,	,
20165	1753	21	&	&	CC
20165	1753	22	c.	c.	NNP
20165	1753	23	,	,	,
20165	1753	24	which	which	WDT
20165	1753	25	enable	enable	VBP
20165	1753	26	us	-PRON-	PRP
20165	1753	27	to	to	TO
20165	1753	28	make	make	VB
20165	1753	29	the	the	DT
20165	1753	30	distant	distant	JJ
20165	1753	31	arches	arch	NNS
20165	1753	32	similar	similar	JJ
20165	1753	33	to	to	IN
20165	1753	34	the	the	DT
20165	1753	35	near	near	JJ
20165	1753	36	ones	one	NNS
20165	1753	37	.	.	.
20165	1754	1	[	[	-LRB-
20165	1754	2	Illustration	illustration	NN
20165	1754	3	:	:	:
20165	1754	4	Fig	Fig	NNP
20165	1754	5	.	.	.
20165	1755	1	240	240	LS
20165	1755	2	.	.	.
20165	1755	3	]	]	-RRB-
20165	1756	1	[	[	-LRB-
20165	1756	2	Illustration	illustration	NN
20165	1756	3	:	:	:
20165	1756	4	Fig	Fig	NNP
20165	1756	5	.	.	.
20165	1757	1	241	241	CD
20165	1757	2	.	.	.
20165	1757	3	]	]	-RRB-
20165	1758	1	CXXXIII	CXXXIII	NNP
20165	1758	2	OPENING	opening	NN
20165	1758	3	OR	or	CC
20165	1758	4	ARCHED	arched	NN
20165	1758	5	WINDOW	window	NN
20165	1758	6	IN	in	IN
20165	1758	7	A	a	DT
20165	1758	8	VAULT	VAULT	NNP
20165	1758	9	First	first	RB
20165	1758	10	draw	draw	VB
20165	1758	11	the	the	DT
20165	1758	12	vault	vault	NN
20165	1758	13	_	_	NNP
20165	1758	14	AEB	AEB	NNP
20165	1758	15	_	_	NNP
20165	1758	16	.	.	.
20165	1759	1	To	to	TO
20165	1759	2	introduce	introduce	VB
20165	1759	3	the	the	DT
20165	1759	4	window	window	NN
20165	1759	5	_	_	NNP
20165	1759	6	K	K	NNP
20165	1759	7	_	_	NNP
20165	1759	8	,	,	,
20165	1759	9	the	the	DT
20165	1759	10	upper	upper	JJ
20165	1759	11	part	part	NN
20165	1759	12	of	of	IN
20165	1759	13	which	which	WDT
20165	1759	14	follows	follow	VBZ
20165	1759	15	the	the	DT
20165	1759	16	form	form	NN
20165	1759	17	of	of	IN
20165	1759	18	the	the	DT
20165	1759	19	vault	vault	NN
20165	1759	20	,	,	,
20165	1759	21	we	-PRON-	PRP
20165	1759	22	first	first	RB
20165	1759	23	decide	decide	VBP
20165	1759	24	on	on	IN
20165	1759	25	its	-PRON-	PRP$
20165	1759	26	width	width	NN
20165	1759	27	,	,	,
20165	1759	28	which	which	WDT
20165	1759	29	is	be	VBZ
20165	1759	30	_	_	NNP
20165	1759	31	mn	mn	NNP
20165	1759	32	_	_	NNP
20165	1759	33	,	,	,
20165	1759	34	and	and	CC
20165	1759	35	its	-PRON-	PRP$
20165	1759	36	height	height	NN
20165	1759	37	from	from	IN
20165	1759	38	floor	floor	NN
20165	1759	39	_	_	NNP
20165	1759	40	Ba	Ba	NNP
20165	1759	41	_	_	NNP
20165	1759	42	.	.	.
20165	1760	1	On	on	IN
20165	1760	2	line	line	NN
20165	1760	3	_	_	NNP
20165	1760	4	Ba	Ba	NNP
20165	1760	5	_	_	NNP
20165	1760	6	at	at	IN
20165	1760	7	the	the	DT
20165	1760	8	side	side	NN
20165	1760	9	of	of	IN
20165	1760	10	the	the	DT
20165	1760	11	arch	arch	JJ
20165	1760	12	form	form	NN
20165	1760	13	scales	scale	VBZ
20165	1760	14	_	_	NNP
20165	1760	15	aa·S	aa·S	NNP
20165	1760	16	_	_	NNP
20165	1760	17	,	,	,
20165	1760	18	_	_	NNP
20165	1760	19	bb·S	bb·S	NNP
20165	1760	20	_	_	NNP
20165	1760	21	,	,	,
20165	1760	22	&	&	CC
20165	1760	23	c.	c.	NNP
20165	1760	24	Raise	raise	VB
20165	1760	25	the	the	DT
20165	1760	26	semicircular	semicircular	JJ
20165	1760	27	arch	arch	NN
20165	1760	28	_	_	NNP
20165	1760	29	K	K	NNP
20165	1760	30	_	_	NNP
20165	1760	31	,	,	,
20165	1760	32	shown	show	VBN
20165	1760	33	by	by	IN
20165	1760	34	a	a	DT
20165	1760	35	dotted	dotted	JJ
20165	1760	36	line	line	NN
20165	1760	37	.	.	.
20165	1761	1	The	the	DT
20165	1761	2	scale	scale	NN
20165	1761	3	at	at	IN
20165	1761	4	the	the	DT
20165	1761	5	side	side	NN
20165	1761	6	will	will	MD
20165	1761	7	give	give	VB
20165	1761	8	the	the	DT
20165	1761	9	lengths	length	NNS
20165	1761	10	_	_	NNP
20165	1761	11	aa	aa	NNP
20165	1761	12	·	·	NFP
20165	1761	13	_	_	NNP
20165	1761	14	,	,	,
20165	1761	15	_	_	NNP
20165	1761	16	bb	bb	NNP
20165	1761	17	·	·	NFP
20165	1761	18	_	_	NNP
20165	1761	19	,	,	,
20165	1761	20	&	&	CC
20165	1761	21	c.	c.	NNP
20165	1761	22	,	,	,
20165	1761	23	from	from	IN
20165	1761	24	different	different	JJ
20165	1761	25	parts	part	NNS
20165	1761	26	of	of	IN
20165	1761	27	this	this	DT
20165	1761	28	dotted	dotted	JJ
20165	1761	29	arch	arch	NN
20165	1761	30	to	to	IN
20165	1761	31	corresponding	corresponding	JJ
20165	1761	32	points	point	NNS
20165	1761	33	in	in	IN
20165	1761	34	the	the	DT
20165	1761	35	curved	curved	JJ
20165	1761	36	archway	archway	NN
20165	1761	37	or	or	CC
20165	1761	38	window	window	NN
20165	1761	39	required	require	VBN
20165	1761	40	.	.	.
20165	1762	1	[	[	-LRB-
20165	1762	2	Illustration	illustration	NN
20165	1762	3	:	:	:
20165	1762	4	Fig	Fig	NNP
20165	1762	5	.	.	.
20165	1763	1	242	242	CD
20165	1763	2	.	.	.
20165	1763	3	]	]	-RRB-
20165	1764	1	Note	note	VB
20165	1764	2	that	that	DT
20165	1764	3	to	to	TO
20165	1764	4	obtain	obtain	VB
20165	1764	5	the	the	DT
20165	1764	6	width	width	NN
20165	1764	7	of	of	IN
20165	1764	8	the	the	DT
20165	1764	9	window	window	NN
20165	1764	10	_	_	NNP
20165	1764	11	K	K	NNP
20165	1764	12	_	_	NNP
20165	1764	13	we	-PRON-	PRP
20165	1764	14	have	have	VBP
20165	1764	15	used	use	VBN
20165	1764	16	the	the	DT
20165	1764	17	diagonals	diagonal	NNS
20165	1764	18	on	on	IN
20165	1764	19	the	the	DT
20165	1764	20	floor	floor	NN
20165	1764	21	and	and	CC
20165	1764	22	width	width	NN
20165	1764	23	_	_	NNP
20165	1764	24	m	m	NNP
20165	1764	25	n	n	CC
20165	1764	26	_	_	NNP
20165	1764	27	on	on	IN
20165	1764	28	base	base	NN
20165	1764	29	.	.	.
20165	1765	1	This	this	DT
20165	1765	2	method	method	NN
20165	1765	3	of	of	IN
20165	1765	4	measurement	measurement	NN
20165	1765	5	is	be	VBZ
20165	1765	6	explained	explain	VBN
20165	1765	7	at	at	IN
20165	1765	8	Fig	Fig	NNP
20165	1765	9	.	.	.
20165	1766	1	144	144	CD
20165	1766	2	,	,	,
20165	1766	3	and	and	CC
20165	1766	4	is	be	VBZ
20165	1766	5	of	of	IN
20165	1766	6	ready	ready	JJ
20165	1766	7	application	application	NN
20165	1766	8	in	in	IN
20165	1766	9	a	a	DT
20165	1766	10	case	case	NN
20165	1766	11	of	of	IN
20165	1766	12	this	this	DT
20165	1766	13	kind	kind	NN
20165	1766	14	.	.	.
20165	1767	1	CXXXIV	CXXXIV	NNP
20165	1767	2	STAIRS	STAIRS	NNP
20165	1767	3	,	,	,
20165	1767	4	STEPS	STEPS	NNP
20165	1767	5	,	,	,
20165	1767	6	&	&	CC
20165	1767	7	C.	C.	NNP
20165	1767	8	Having	Having	NNP
20165	1767	9	decided	decide	VBN
20165	1767	10	upon	upon	IN
20165	1767	11	the	the	DT
20165	1767	12	incline	incline	NN
20165	1767	13	or	or	CC
20165	1767	14	angle	angle	NN
20165	1767	15	,	,	,
20165	1767	16	such	such	JJ
20165	1767	17	as	as	IN
20165	1767	18	_	_	NNP
20165	1767	19	CBA	CBA	NNP
20165	1767	20	_	_	NNP
20165	1767	21	,	,	,
20165	1767	22	at	at	IN
20165	1767	23	which	which	WDT
20165	1767	24	the	the	DT
20165	1767	25	steps	step	NNS
20165	1767	26	are	be	VBP
20165	1767	27	to	to	TO
20165	1767	28	be	be	VB
20165	1767	29	placed	place	VBN
20165	1767	30	,	,	,
20165	1767	31	and	and	CC
20165	1767	32	the	the	DT
20165	1767	33	height	height	NN
20165	1767	34	_	_	NNP
20165	1767	35	Bm	Bm	NNP
20165	1767	36	_	_	NNP
20165	1767	37	of	of	IN
20165	1767	38	each	each	DT
20165	1767	39	step	step	NN
20165	1767	40	,	,	,
20165	1767	41	draw	draw	VB
20165	1767	42	_	_	NNP
20165	1767	43	mn	mn	NNP
20165	1767	44	_	_	NNP
20165	1767	45	to	to	IN
20165	1767	46	_	_	NNP
20165	1767	47	CB	CB	NNP
20165	1767	48	_	_	NNP
20165	1767	49	,	,	,
20165	1767	50	which	which	WDT
20165	1767	51	will	will	MD
20165	1767	52	give	give	VB
20165	1767	53	the	the	DT
20165	1767	54	width	width	NN
20165	1767	55	.	.	.
20165	1768	1	Then	then	RB
20165	1768	2	measure	measure	VB
20165	1768	3	along	along	IN
20165	1768	4	base	base	NN
20165	1768	5	_	_	NNP
20165	1768	6	AB	AB	NNP
20165	1768	7	_	_	NNP
20165	1768	8	this	this	DT
20165	1768	9	width	width	NN
20165	1768	10	equal	equal	JJ
20165	1768	11	to	to	IN
20165	1768	12	_	_	NNP
20165	1768	13	DB	DB	NNP
20165	1768	14	_	_	NNP
20165	1768	15	,	,	,
20165	1768	16	which	which	WDT
20165	1768	17	will	will	MD
20165	1768	18	give	give	VB
20165	1768	19	that	that	DT
20165	1768	20	for	for	IN
20165	1768	21	all	all	PDT
20165	1768	22	the	the	DT
20165	1768	23	other	other	JJ
20165	1768	24	steps	step	NNS
20165	1768	25	.	.	.
20165	1769	1	Obtain	obtain	VB
20165	1769	2	length	length	NN
20165	1769	3	_	_	NNP
20165	1769	4	BF	BF	NNP
20165	1769	5	_	_	NNP
20165	1769	6	of	of	IN
20165	1769	7	steps	step	NNS
20165	1769	8	,	,	,
20165	1769	9	and	and	CC
20165	1769	10	draw	draw	VB
20165	1769	11	_	_	NNP
20165	1769	12	EF	EF	NNP
20165	1769	13	_	_	NNP
20165	1769	14	parallel	parallel	NN
20165	1769	15	to	to	IN
20165	1769	16	_	_	NNP
20165	1769	17	CB	CB	NNP
20165	1769	18	_	_	NNP
20165	1769	19	.	.	.
20165	1770	1	These	these	DT
20165	1770	2	lines	line	NNS
20165	1770	3	will	will	MD
20165	1770	4	aid	aid	VB
20165	1770	5	in	in	IN
20165	1770	6	securing	secure	VBG
20165	1770	7	the	the	DT
20165	1770	8	exactness	exactness	NN
20165	1770	9	of	of	IN
20165	1770	10	the	the	DT
20165	1770	11	figure	figure	NN
20165	1770	12	.	.	.
20165	1771	1	[	[	-LRB-
20165	1771	2	Illustration	illustration	NN
20165	1771	3	:	:	:
20165	1771	4	Fig	Fig	NNP
20165	1771	5	.	.	.
20165	1772	1	243	243	CD
20165	1772	2	.	.	.
20165	1772	3	]	]	-RRB-
20165	1773	1	[	[	-LRB-
20165	1773	2	Illustration	illustration	NN
20165	1773	3	:	:	:
20165	1773	4	Fig	Fig	NNP
20165	1773	5	.	.	.
20165	1774	1	244	244	CD
20165	1774	2	.	.	.
20165	1774	3	]	]	-RRB-
20165	1775	1	CXXXV	CXXXV	NNP
20165	1775	2	STEPS	STEPS	NNP
20165	1775	3	,	,	,
20165	1775	4	FRONT	front	JJ
20165	1775	5	VIEW	view	NN
20165	1775	6	In	in	IN
20165	1775	7	this	this	DT
20165	1775	8	figure	figure	NN
20165	1775	9	the	the	DT
20165	1775	10	height	height	NN
20165	1775	11	of	of	IN
20165	1775	12	each	each	DT
20165	1775	13	step	step	NN
20165	1775	14	is	be	VBZ
20165	1775	15	measured	measure	VBN
20165	1775	16	on	on	IN
20165	1775	17	the	the	DT
20165	1775	18	vertical	vertical	JJ
20165	1775	19	line	line	NN
20165	1775	20	_	_	NNP
20165	1775	21	AB	AB	NNP
20165	1775	22	_	_	NNP
20165	1775	23	(	(	-LRB-
20165	1775	24	this	this	DT
20165	1775	25	line	line	NN
20165	1775	26	is	be	VBZ
20165	1775	27	sometimes	sometimes	RB
20165	1775	28	called	call	VBN
20165	1775	29	the	the	DT
20165	1775	30	line	line	NN
20165	1775	31	of	of	IN
20165	1775	32	heights	height	NNS
20165	1775	33	)	)	-RRB-
20165	1775	34	,	,	,
20165	1775	35	and	and	CC
20165	1775	36	their	-PRON-	PRP$
20165	1775	37	depth	depth	NN
20165	1775	38	is	be	VBZ
20165	1775	39	found	find	VBN
20165	1775	40	by	by	IN
20165	1775	41	diagonals	diagonal	NNS
20165	1775	42	drawn	draw	VBN
20165	1775	43	to	to	IN
20165	1775	44	the	the	DT
20165	1775	45	point	point	NN
20165	1775	46	of	of	IN
20165	1775	47	distance	distance	NN
20165	1775	48	_	_	NNP
20165	1775	49	D	D	NNP
20165	1775	50	_	_	NNP
20165	1775	51	.	.	.
20165	1776	1	The	the	DT
20165	1776	2	rest	rest	NN
20165	1776	3	of	of	IN
20165	1776	4	the	the	DT
20165	1776	5	figure	figure	NN
20165	1776	6	explains	explain	VBZ
20165	1776	7	itself	-PRON-	PRP
20165	1776	8	.	.	.
20165	1777	1	[	[	-LRB-
20165	1777	2	Illustration	illustration	NN
20165	1777	3	:	:	:
20165	1777	4	Fig	Fig	NNP
20165	1777	5	.	.	.
20165	1778	1	245	245	CD
20165	1778	2	.	.	.
20165	1778	3	]	]	-RRB-
20165	1779	1	CXXXVI	CXXXVI	NNP
20165	1779	2	SQUARE	SQUARE	NNP
20165	1779	3	STEPS	STEPS	NNP
20165	1779	4	Draw	Draw	NNP
20165	1779	5	first	first	JJ
20165	1779	6	step	step	NN
20165	1779	7	_	_	NNP
20165	1779	8	ABEF	ABEF	NNP
20165	1779	9	_	_	NNP
20165	1779	10	and	and	CC
20165	1779	11	its	-PRON-	PRP$
20165	1779	12	two	two	CD
20165	1779	13	diagonals	diagonal	NNS
20165	1779	14	.	.	.
20165	1780	1	Raise	raise	VB
20165	1780	2	vertical	vertical	JJ
20165	1780	3	_	_	NNP
20165	1780	4	AH	AH	NNP
20165	1780	5	_	_	NNP
20165	1780	6	,	,	,
20165	1780	7	and	and	CC
20165	1780	8	measure	measure	NN
20165	1780	9	thereon	thereon	NN
20165	1780	10	the	the	DT
20165	1780	11	required	require	VBN
20165	1780	12	height	height	NN
20165	1780	13	of	of	IN
20165	1780	14	each	each	DT
20165	1780	15	step	step	NN
20165	1780	16	,	,	,
20165	1780	17	and	and	CC
20165	1780	18	thus	thus	RB
20165	1780	19	form	form	NN
20165	1780	20	scale	scale	NN
20165	1780	21	.	.	.
20165	1781	1	Let	let	VB
20165	1781	2	the	the	DT
20165	1781	3	second	second	JJ
20165	1781	4	step	step	NN
20165	1781	5	_	_	NNP
20165	1781	6	CD	CD	NNP
20165	1781	7	_	_	NNP
20165	1781	8	be	be	VB
20165	1781	9	less	less	JJR
20165	1781	10	all	all	DT
20165	1781	11	round	round	JJ
20165	1781	12	than	than	IN
20165	1781	13	the	the	DT
20165	1781	14	first	first	JJ
20165	1781	15	by	by	IN
20165	1781	16	_	_	NNP
20165	1781	17	Ao	Ao	NNP
20165	1781	18	_	_	NNP
20165	1781	19	or	or	CC
20165	1781	20	_	_	NNP
20165	1781	21	Bo	Bo	NNP
20165	1781	22	_	_	NNP
20165	1781	23	.	.	.
20165	1782	1	Draw	Draw	NNP
20165	1782	2	_	_	NNP
20165	1782	3	oC	oC	NNP
20165	1782	4	_	_	NNP
20165	1782	5	till	till	IN
20165	1782	6	it	-PRON-	PRP
20165	1782	7	cuts	cut	VBZ
20165	1782	8	the	the	DT
20165	1782	9	diagonal	diagonal	JJ
20165	1782	10	,	,	,
20165	1782	11	and	and	CC
20165	1782	12	proceed	proceed	VBP
20165	1782	13	to	to	TO
20165	1782	14	draw	draw	VB
20165	1782	15	the	the	DT
20165	1782	16	second	second	JJ
20165	1782	17	step	step	NN
20165	1782	18	,	,	,
20165	1782	19	guided	guide	VBN
20165	1782	20	by	by	IN
20165	1782	21	the	the	DT
20165	1782	22	diagonals	diagonal	NNS
20165	1782	23	and	and	CC
20165	1782	24	taking	take	VBG
20165	1782	25	its	-PRON-	PRP$
20165	1782	26	height	height	NN
20165	1782	27	from	from	IN
20165	1782	28	the	the	DT
20165	1782	29	scale	scale	NN
20165	1782	30	as	as	IN
20165	1782	31	shown	show	VBN
20165	1782	32	.	.	.
20165	1783	1	Draw	draw	VB
20165	1783	2	the	the	DT
20165	1783	3	third	third	JJ
20165	1783	4	step	step	NN
20165	1783	5	in	in	IN
20165	1783	6	the	the	DT
20165	1783	7	same	same	JJ
20165	1783	8	way	way	NN
20165	1783	9	.	.	.
20165	1784	1	[	[	-LRB-
20165	1784	2	Illustration	illustration	NN
20165	1784	3	:	:	:
20165	1784	4	Fig	Fig	NNP
20165	1784	5	.	.	.
20165	1785	1	246	246	CD
20165	1785	2	.	.	.
20165	1785	3	]	]	-RRB-
20165	1786	1	CXXXVII	cxxxvii	NN
20165	1786	2	TO	to	WDT
20165	1786	3	DIVIDE	DIVIDE	VBZ
20165	1786	4	AN	an	DT
20165	1786	5	INCLINED	inclined	NN
20165	1786	6	PLANE	PLANE	VBN
20165	1786	7	INTO	into	VBP
20165	1786	8	EQUAL	equal	VBP
20165	1786	9	PARTS	parts	NN
20165	1786	10	--	--	:
20165	1786	11	SUCH	SUCH	NNP
20165	1786	12	AS	as	IN
20165	1786	13	A	a	DT
20165	1786	14	LADDER	LADDER	NNP
20165	1786	15	PLACED	placed	NN
20165	1786	16	AGAINST	against	IN
20165	1786	17	A	a	DT
20165	1786	18	WALL	WALL	NNP
20165	1786	19	[	[	-LRB-
20165	1786	20	Illustration	illustration	NN
20165	1786	21	:	:	:
20165	1786	22	Fig	Fig	NNP
20165	1786	23	.	.	.
20165	1787	1	247	247	CD
20165	1787	2	.	.	.
20165	1787	3	]	]	-RRB-
20165	1788	1	Divide	divide	VB
20165	1788	2	the	the	DT
20165	1788	3	vertical	vertical	JJ
20165	1788	4	_	_	NNP
20165	1788	5	EC	EC	NNP
20165	1788	6	_	_	NNP
20165	1788	7	into	into	IN
20165	1788	8	the	the	DT
20165	1788	9	required	require	VBN
20165	1788	10	number	number	NN
20165	1788	11	of	of	IN
20165	1788	12	parts	part	NNS
20165	1788	13	,	,	,
20165	1788	14	and	and	CC
20165	1788	15	draw	draw	VB
20165	1788	16	lines	line	NNS
20165	1788	17	from	from	IN
20165	1788	18	point	point	NN
20165	1788	19	of	of	IN
20165	1788	20	sight	sight	NN
20165	1788	21	_	_	NNP
20165	1788	22	S	S	NNP
20165	1788	23	_	_	NNP
20165	1788	24	through	through	IN
20165	1788	25	these	these	DT
20165	1788	26	divisions	division	NNS
20165	1788	27	1	1	CD
20165	1788	28	,	,	,
20165	1788	29	2	2	CD
20165	1788	30	,	,	,
20165	1788	31	3	3	CD
20165	1788	32	,	,	,
20165	1788	33	&	&	CC
20165	1788	34	c.	c.	NNP
20165	1788	35	,	,	,
20165	1788	36	cutting	cut	VBG
20165	1788	37	the	the	DT
20165	1788	38	line	line	NN
20165	1788	39	_	_	NNP
20165	1788	40	AC	AC	NNP
20165	1788	41	_	_	NNP
20165	1788	42	at	at	IN
20165	1788	43	1	1	CD
20165	1788	44	,	,	,
20165	1788	45	2	2	CD
20165	1788	46	,	,	,
20165	1788	47	3	3	CD
20165	1788	48	,	,	,
20165	1788	49	&	&	CC
20165	1788	50	c.	c.	NNP
20165	1788	51	Draw	Draw	NNP
20165	1788	52	parallels	parallel	NNS
20165	1788	53	to	to	IN
20165	1788	54	_	_	NNP
20165	1788	55	AB	AB	NNP
20165	1788	56	_	_	NNP
20165	1788	57	,	,	,
20165	1788	58	such	such	JJ
20165	1788	59	as	as	IN
20165	1788	60	_	_	NNP
20165	1788	61	mn	mn	NNP
20165	1788	62	_	_	NNP
20165	1788	63	,	,	,
20165	1788	64	from	from	IN
20165	1788	65	_	_	NNP
20165	1788	66	AC	AC	NNP
20165	1788	67	_	_	NNP
20165	1788	68	to	to	IN
20165	1788	69	_	_	NNP
20165	1788	70	BD	BD	NNP
20165	1788	71	_	_	NNP
20165	1788	72	,	,	,
20165	1788	73	which	which	WDT
20165	1788	74	will	will	MD
20165	1788	75	represent	represent	VB
20165	1788	76	the	the	DT
20165	1788	77	steps	step	NNS
20165	1788	78	of	of	IN
20165	1788	79	the	the	DT
20165	1788	80	ladder	ladder	NN
20165	1788	81	.	.	.
20165	1789	1	CXXXVIII	CXXXVIII	NNP
20165	1789	2	STEPS	STEPS	NNP
20165	1789	3	AND	and	CC
20165	1789	4	THE	the	DT
20165	1789	5	INCLINED	inclined	NN
20165	1789	6	PLANE	PLANE	VBN
20165	1789	7	[	[	-LRB-
20165	1789	8	Illustration	illustration	NN
20165	1789	9	:	:	:
20165	1789	10	Fig	Fig	NNP
20165	1789	11	.	.	.
20165	1790	1	248	248	CD
20165	1790	2	.	.	.
20165	1790	3	]	]	-RRB-
20165	1791	1	In	in	IN
20165	1791	2	Fig	Fig	NNP
20165	1791	3	.	.	.
20165	1792	1	248	248	CD
20165	1792	2	we	-PRON-	PRP
20165	1792	3	treat	treat	VBP
20165	1792	4	a	a	DT
20165	1792	5	flight	flight	NN
20165	1792	6	of	of	IN
20165	1792	7	steps	step	NNS
20165	1792	8	as	as	IN
20165	1792	9	if	if	IN
20165	1792	10	it	-PRON-	PRP
20165	1792	11	were	be	VBD
20165	1792	12	an	an	DT
20165	1792	13	inclined	inclined	JJ
20165	1792	14	plane	plane	NN
20165	1792	15	.	.	.
20165	1793	1	Draw	draw	VB
20165	1793	2	the	the	DT
20165	1793	3	first	first	JJ
20165	1793	4	and	and	CC
20165	1793	5	second	second	JJ
20165	1793	6	steps	step	NNS
20165	1793	7	as	as	IN
20165	1793	8	in	in	IN
20165	1793	9	Fig	Fig	NNP
20165	1793	10	.	.	.
20165	1794	1	245	245	CD
20165	1794	2	.	.	.
20165	1795	1	Then	then	RB
20165	1795	2	through	through	IN
20165	1795	3	1	1	CD
20165	1795	4	,	,	,
20165	1795	5	2	2	CD
20165	1795	6	,	,	,
20165	1795	7	draw	draw	VB
20165	1795	8	1V	1V	NNP
20165	1795	9	,	,	,
20165	1795	10	_	_	NNP
20165	1795	11	AV	AV	NNP
20165	1795	12	_	_	NNP
20165	1795	13	to	to	IN
20165	1795	14	_	_	NNP
20165	1795	15	V	V	NNP
20165	1795	16	_	_	NNP
20165	1795	17	,	,	,
20165	1795	18	the	the	DT
20165	1795	19	vanishing	vanish	VBG
20165	1795	20	point	point	NN
20165	1795	21	on	on	IN
20165	1795	22	the	the	DT
20165	1795	23	vertical	vertical	JJ
20165	1795	24	line	line	NN
20165	1795	25	_	_	NNP
20165	1795	26	SV	SV	NNP
20165	1795	27	_	_	NNP
20165	1795	28	.	.	.
20165	1796	1	These	these	DT
20165	1796	2	two	two	CD
20165	1796	3	lines	line	NNS
20165	1796	4	and	and	CC
20165	1796	5	the	the	DT
20165	1796	6	corresponding	corresponding	JJ
20165	1796	7	ones	one	NNS
20165	1796	8	at	at	IN
20165	1796	9	_	_	NNP
20165	1796	10	BV	BV	NNP
20165	1796	11	_	_	NNP
20165	1796	12	will	will	MD
20165	1796	13	form	form	VB
20165	1796	14	a	a	DT
20165	1796	15	kind	kind	NN
20165	1796	16	of	of	IN
20165	1796	17	vanishing	vanish	VBG
20165	1796	18	scale	scale	NN
20165	1796	19	,	,	,
20165	1796	20	giving	give	VBG
20165	1796	21	the	the	DT
20165	1796	22	height	height	NN
20165	1796	23	of	of	IN
20165	1796	24	each	each	DT
20165	1796	25	step	step	NN
20165	1796	26	as	as	IN
20165	1796	27	we	-PRON-	PRP
20165	1796	28	ascend	ascend	VBP
20165	1796	29	.	.	.
20165	1797	1	It	-PRON-	PRP
20165	1797	2	is	be	VBZ
20165	1797	3	especially	especially	RB
20165	1797	4	useful	useful	JJ
20165	1797	5	when	when	WRB
20165	1797	6	we	-PRON-	PRP
20165	1797	7	pass	pass	VBP
20165	1797	8	the	the	DT
20165	1797	9	horizontal	horizontal	JJ
20165	1797	10	line	line	NN
20165	1797	11	and	and	CC
20165	1797	12	we	-PRON-	PRP
20165	1797	13	no	no	RB
20165	1797	14	longer	longer	RB
20165	1797	15	see	see	VBP
20165	1797	16	the	the	DT
20165	1797	17	upper	upper	JJ
20165	1797	18	surface	surface	NN
20165	1797	19	of	of	IN
20165	1797	20	the	the	DT
20165	1797	21	step	step	NN
20165	1797	22	,	,	,
20165	1797	23	the	the	DT
20165	1797	24	scale	scale	NN
20165	1797	25	on	on	IN
20165	1797	26	the	the	DT
20165	1797	27	right	right	JJ
20165	1797	28	showing	show	VBG
20165	1797	29	us	-PRON-	PRP
20165	1797	30	how	how	WRB
20165	1797	31	to	to	TO
20165	1797	32	proceed	proceed	VB
20165	1797	33	in	in	IN
20165	1797	34	that	that	DT
20165	1797	35	case	case	NN
20165	1797	36	.	.	.
20165	1798	1	In	in	IN
20165	1798	2	Fig	Fig	NNP
20165	1798	3	.	.	.
20165	1799	1	249	249	CD
20165	1799	2	we	-PRON-	PRP
20165	1799	3	have	have	VBP
20165	1799	4	an	an	DT
20165	1799	5	example	example	NN
20165	1799	6	of	of	IN
20165	1799	7	steps	step	NNS
20165	1799	8	ascending	ascend	VBG
20165	1799	9	and	and	CC
20165	1799	10	descending	descend	VBG
20165	1799	11	.	.	.
20165	1800	1	First	first	RB
20165	1800	2	set	set	VB
20165	1800	3	out	out	RP
20165	1800	4	the	the	DT
20165	1800	5	ground	ground	NN
20165	1800	6	-	-	HYPH
20165	1800	7	plan	plan	NN
20165	1800	8	,	,	,
20165	1800	9	and	and	CC
20165	1800	10	find	find	VB
20165	1800	11	its	-PRON-	PRP$
20165	1800	12	vanishing	vanishing	JJ
20165	1800	13	point	point	NN
20165	1800	14	_	_	NNP
20165	1800	15	S	S	NNP
20165	1800	16	_	_	NNP
20165	1800	17	(	(	-LRB-
20165	1800	18	point	point	NN
20165	1800	19	of	of	IN
20165	1800	20	sight	sight	NN
20165	1800	21	)	)	-RRB-
20165	1800	22	.	.	.
20165	1801	1	Through	through	IN
20165	1801	2	_	_	NNP
20165	1801	3	S	S	NNP
20165	1801	4	_	_	NNP
20165	1801	5	draw	draw	VBP
20165	1801	6	vertical	vertical	JJ
20165	1801	7	_	_	NNP
20165	1801	8	BA	BA	NNP
20165	1801	9	_	_	NNP
20165	1801	10	,	,	,
20165	1801	11	and	and	CC
20165	1801	12	make	make	VB
20165	1801	13	_	_	NNP
20165	1801	14	SA	SA	NNP
20165	1801	15	_	_	NNP
20165	1801	16	equal	equal	JJ
20165	1801	17	to	to	IN
20165	1801	18	_	_	NNP
20165	1801	19	SB	SB	NNP
20165	1801	20	_	_	NNP
20165	1801	21	.	.	.
20165	1802	1	Set	Set	VBN
20165	1802	2	out	out	RP
20165	1802	3	the	the	DT
20165	1802	4	first	first	JJ
20165	1802	5	step	step	NN
20165	1802	6	_	_	NNP
20165	1802	7	CD	CD	NNP
20165	1802	8	_	_	NNP
20165	1802	9	.	.	.
20165	1803	1	Draw	Draw	NNP
20165	1803	2	_	_	NNP
20165	1803	3	EA	EA	NNP
20165	1803	4	_	_	NNP
20165	1803	5	,	,	,
20165	1803	6	_	_	NNP
20165	1803	7	CA	CA	NNP
20165	1803	8	_	_	NNP
20165	1803	9	,	,	,
20165	1803	10	_	_	NNP
20165	1803	11	DA	DA	NNP
20165	1803	12	_	_	NNP
20165	1803	13	,	,	,
20165	1803	14	and	and	CC
20165	1803	15	_	_	NNP
20165	1803	16	GA	GA	NNP
20165	1803	17	_	_	NNP
20165	1803	18	,	,	,
20165	1803	19	for	for	IN
20165	1803	20	the	the	DT
20165	1803	21	ascending	ascend	VBG
20165	1803	22	guiding	guide	VBG
20165	1803	23	lines	line	NNS
20165	1803	24	.	.	.
20165	1804	1	Complete	complete	VB
20165	1804	2	the	the	DT
20165	1804	3	steps	step	NNS
20165	1804	4	facing	face	VBG
20165	1804	5	us	-PRON-	PRP
20165	1804	6	,	,	,
20165	1804	7	at	at	IN
20165	1804	8	central	central	JJ
20165	1804	9	line	line	NN
20165	1804	10	_	_	NNP
20165	1804	11	OO	OO	NNP
20165	1804	12	_	_	NNP
20165	1804	13	.	.	.
20165	1805	1	Then	then	RB
20165	1805	2	draw	draw	VB
20165	1805	3	guiding	guide	VBG
20165	1805	4	line	line	NN
20165	1805	5	_	_	NNP
20165	1805	6	FB	FB	NNP
20165	1805	7	_	_	NNP
20165	1805	8	for	for	IN
20165	1805	9	the	the	DT
20165	1805	10	descending	descend	VBG
20165	1805	11	steps	step	NNS
20165	1805	12	(	(	-LRB-
20165	1805	13	see	see	VB
20165	1805	14	Rule	Rule	NNP
20165	1805	15	8)	8)	CD
20165	1805	16	.	.	.
20165	1806	1	[	[	-LRB-
20165	1806	2	Illustration	illustration	NN
20165	1806	3	:	:	:
20165	1806	4	Fig	Fig	NNP
20165	1806	5	.	.	.
20165	1807	1	249	249	CD
20165	1807	2	.	.	.
20165	1807	3	]	]	-RRB-
20165	1808	1	CXXXIX	CXXXIX	NNP
20165	1808	2	STEPS	STEPS	NNP
20165	1808	3	IN	in	IN
20165	1808	4	ANGULAR	ANGULAR	NNP
20165	1808	5	PERSPECTIVE	PERSPECTIVE	VBD
20165	1808	6	First	first	RB
20165	1808	7	draw	draw	VB
20165	1808	8	the	the	DT
20165	1808	9	base	base	NN
20165	1808	10	_	_	NNP
20165	1808	11	ABCD	ABCD	NNP
20165	1808	12	_	_	NNP
20165	1808	13	(	(	-LRB-
20165	1808	14	Fig	Fig	NNP
20165	1808	15	.	.	.
20165	1809	1	251	251	CD
20165	1809	2	)	)	-RRB-
20165	1809	3	at	at	IN
20165	1809	4	the	the	DT
20165	1809	5	required	require	VBN
20165	1809	6	angle	angle	NN
20165	1809	7	by	by	IN
20165	1809	8	the	the	DT
20165	1809	9	new	new	JJ
20165	1809	10	method	method	NN
20165	1809	11	(	(	-LRB-
20165	1809	12	Fig	Fig	NNP
20165	1809	13	.	.	.
20165	1810	1	250	250	LS
20165	1810	2	)	)	-RRB-
20165	1810	3	.	.	.
20165	1811	1	Produce	Produce	NNP
20165	1811	2	_	_	NNP
20165	1811	3	BC	BC	NNP
20165	1811	4	_	_	NNP
20165	1811	5	to	to	IN
20165	1811	6	the	the	DT
20165	1811	7	horizon	horizon	NN
20165	1811	8	,	,	,
20165	1811	9	and	and	CC
20165	1811	10	thus	thus	RB
20165	1811	11	find	find	VB
20165	1811	12	vanishing	vanish	VBG
20165	1811	13	point	point	NN
20165	1811	14	_	_	NNP
20165	1811	15	V	V	NNP
20165	1811	16	_	_	NNP
20165	1811	17	.	.	.
20165	1812	1	At	at	IN
20165	1812	2	this	this	DT
20165	1812	3	point	point	NN
20165	1812	4	raise	raise	VBP
20165	1812	5	vertical	vertical	JJ
20165	1812	6	_	_	NNP
20165	1812	7	VV	VV	NNP
20165	1812	8	·	·	NFP
20165	1812	9	_	_	NNP
20165	1812	10	.	.	.
20165	1813	1	Construct	construct	VB
20165	1813	2	first	first	JJ
20165	1813	3	step	step	NN
20165	1813	4	_	_	NNP
20165	1813	5	AB	AB	NNP
20165	1813	6	_	_	NNP
20165	1813	7	,	,	,
20165	1813	8	refer	refer	VB
20165	1813	9	its	-PRON-	PRP$
20165	1813	10	height	height	NN
20165	1813	11	at	at	IN
20165	1813	12	_	_	NNP
20165	1813	13	B	B	NNP
20165	1813	14	_	_	NNP
20165	1813	15	to	to	IN
20165	1813	16	line	line	NN
20165	1813	17	of	of	IN
20165	1813	18	heights	height	NNS
20165	1813	19	hI	hI	NNP
20165	1813	20	on	on	IN
20165	1813	21	left	left	NN
20165	1813	22	,	,	,
20165	1813	23	and	and	CC
20165	1813	24	thus	thus	RB
20165	1813	25	obtain	obtain	VBP
20165	1813	26	height	height	NN
20165	1813	27	of	of	IN
20165	1813	28	step	step	NN
20165	1813	29	at	at	IN
20165	1813	30	_	_	NNP
20165	1813	31	A	A	NNP
20165	1813	32	_	_	NNP
20165	1813	33	.	.	.
20165	1814	1	Draw	draw	NN
20165	1814	2	lines	line	NNS
20165	1814	3	from	from	IN
20165	1814	4	_	_	NNP
20165	1814	5	A	A	NNP
20165	1814	6	_	_	NNP
20165	1814	7	and	and	CC
20165	1814	8	_	_	NNP
20165	1814	9	F	F	NNP
20165	1814	10	_	_	NNP
20165	1814	11	to	to	IN
20165	1814	12	_	_	NNP
20165	1814	13	V	V	NNP
20165	1814	14	·	·	NFP
20165	1814	15	_	_	XX
20165	1814	16	.	.	.
20165	1815	1	From	from	IN
20165	1815	2	_	_	NNP
20165	1815	3	n	n	CC
20165	1815	4	_	_	NNP
20165	1815	5	draw	draw	VB
20165	1815	6	diagonal	diagonal	JJ
20165	1815	7	through	through	IN
20165	1815	8	_	_	NNP
20165	1815	9	O	O	NNP
20165	1815	10	_	_	NNP
20165	1815	11	to	to	IN
20165	1815	12	_	_	NNP
20165	1815	13	G	G	NNP
20165	1815	14	_	_	NNP
20165	1815	15	.	.	.
20165	1816	1	Raise	raise	VB
20165	1816	2	vertical	vertical	JJ
20165	1816	3	at	at	IN
20165	1816	4	_	_	NNP
20165	1816	5	O	O	NNP
20165	1816	6	_	_	NNP
20165	1816	7	to	to	TO
20165	1816	8	represent	represent	VB
20165	1816	9	the	the	DT
20165	1816	10	height	height	NN
20165	1816	11	of	of	IN
20165	1816	12	the	the	DT
20165	1816	13	next	next	JJ
20165	1816	14	step	step	NN
20165	1816	15	,	,	,
20165	1816	16	its	-PRON-	PRP$
20165	1816	17	height	height	NN
20165	1816	18	being	be	VBG
20165	1816	19	determined	determine	VBN
20165	1816	20	by	by	IN
20165	1816	21	the	the	DT
20165	1816	22	scale	scale	NN
20165	1816	23	of	of	IN
20165	1816	24	heights	height	NNS
20165	1816	25	at	at	IN
20165	1816	26	the	the	DT
20165	1816	27	side	side	NN
20165	1816	28	.	.	.
20165	1817	1	From	from	IN
20165	1817	2	_	_	NNP
20165	1817	3	A	A	NNP
20165	1817	4	_	_	NNP
20165	1817	5	and	and	CC
20165	1817	6	_	_	NNP
20165	1817	7	F	F	NNP
20165	1817	8	_	_	NNP
20165	1817	9	draw	draw	VBP
20165	1817	10	lines	line	NNS
20165	1817	11	to	to	IN
20165	1817	12	_	_	NNP
20165	1817	13	V	V	NNP
20165	1817	14	·	·	NFP
20165	1817	15	_	_	NNP
20165	1817	16	,	,	,
20165	1817	17	and	and	CC
20165	1817	18	also	also	RB
20165	1817	19	similar	similar	JJ
20165	1817	20	lines	line	NNS
20165	1817	21	from	from	IN
20165	1817	22	_	_	NNP
20165	1817	23	B	B	NNP
20165	1817	24	_	_	NNP
20165	1817	25	,	,	,
20165	1817	26	which	which	WDT
20165	1817	27	will	will	MD
20165	1817	28	serve	serve	VB
20165	1817	29	as	as	IN
20165	1817	30	guiding	guide	VBG
20165	1817	31	lines	line	NNS
20165	1817	32	to	to	TO
20165	1817	33	determine	determine	VB
20165	1817	34	the	the	DT
20165	1817	35	height	height	NN
20165	1817	36	of	of	IN
20165	1817	37	the	the	DT
20165	1817	38	steps	step	NNS
20165	1817	39	at	at	IN
20165	1817	40	either	either	DT
20165	1817	41	end	end	NN
20165	1817	42	as	as	IN
20165	1817	43	we	-PRON-	PRP
20165	1817	44	raise	raise	VBP
20165	1817	45	them	-PRON-	PRP
20165	1817	46	to	to	IN
20165	1817	47	the	the	DT
20165	1817	48	required	require	VBN
20165	1817	49	number	number	NN
20165	1817	50	.	.	.
20165	1818	1	[	[	-LRB-
20165	1818	2	Illustration	illustration	NN
20165	1818	3	:	:	:
20165	1818	4	Fig	Fig	NNP
20165	1818	5	.	.	.
20165	1819	1	250	250	CD
20165	1819	2	.	.	.
20165	1819	3	]	]	-RRB-
20165	1820	1	[	[	-LRB-
20165	1820	2	Illustration	illustration	NN
20165	1820	3	:	:	:
20165	1820	4	Fig	Fig	NNP
20165	1820	5	.	.	.
20165	1821	1	251	251	CD
20165	1821	2	.	.	.
20165	1821	3	]	]	-RRB-
20165	1822	1	CXL	CXL	NNP
20165	1822	2	A	a	DT
20165	1822	3	STEP	STEP	NNP
20165	1822	4	LADDER	LADDER	NNP
20165	1822	5	AT	at	IN
20165	1822	6	AN	an	DT
20165	1822	7	ANGLE	ANGLE	NNP
20165	1822	8	[	[	-LRB-
20165	1822	9	Illustration	illustration	NN
20165	1822	10	:	:	:
20165	1822	11	Fig	Fig	NNP
20165	1822	12	.	.	.
20165	1823	1	252	252	CD
20165	1823	2	.	.	.
20165	1823	3	]	]	-RRB-
20165	1824	1	First	first	RB
20165	1824	2	draw	draw	VB
20165	1824	3	the	the	DT
20165	1824	4	ground	ground	NN
20165	1824	5	-	-	HYPH
20165	1824	6	plan	plan	NN
20165	1824	7	_	_	NNP
20165	1824	8	G	G	NNP
20165	1824	9	_	_	NNP
20165	1824	10	at	at	IN
20165	1824	11	the	the	DT
20165	1824	12	required	require	VBN
20165	1824	13	angle	angle	NN
20165	1824	14	,	,	,
20165	1824	15	using	use	VBG
20165	1824	16	vanishing	vanish	VBG
20165	1824	17	and	and	CC
20165	1824	18	measuring	measure	VBG
20165	1824	19	points	point	NNS
20165	1824	20	.	.	.
20165	1825	1	Find	find	VB
20165	1825	2	the	the	DT
20165	1825	3	height	height	NN
20165	1825	4	_	_	NNP
20165	1825	5	hH	hH	NNP
20165	1825	6	_	_	NNP
20165	1825	7	,	,	,
20165	1825	8	and	and	CC
20165	1825	9	width	width	NN
20165	1825	10	at	at	IN
20165	1825	11	top	top	NN
20165	1825	12	_	_	NNP
20165	1825	13	HH	HH	NNP
20165	1825	14	·	·	NFP
20165	1825	15	_	_	NNP
20165	1825	16	,	,	,
20165	1825	17	and	and	CC
20165	1825	18	draw	draw	VB
20165	1825	19	the	the	DT
20165	1825	20	sides	side	NNS
20165	1825	21	_	_	NNP
20165	1825	22	HA	HA	NNP
20165	1825	23	_	_	NNP
20165	1825	24	and	and	CC
20165	1825	25	_	_	NNP
20165	1825	26	H·E	H·E	NNP
20165	1825	27	_	_	NNP
20165	1825	28	.	.	.
20165	1826	1	Note	note	VB
20165	1826	2	that	that	IN
20165	1826	3	_	_	NNP
20165	1826	4	AE	AE	NNP
20165	1826	5	_	_	NNP
20165	1826	6	is	be	VBZ
20165	1826	7	wider	wide	JJR
20165	1826	8	than	than	IN
20165	1826	9	_	_	NNP
20165	1826	10	HH	HH	NNP
20165	1826	11	·	·	NFP
20165	1826	12	_	_	NNP
20165	1826	13	,	,	,
20165	1826	14	and	and	CC
20165	1826	15	also	also	RB
20165	1826	16	that	that	IN
20165	1826	17	the	the	DT
20165	1826	18	back	back	JJ
20165	1826	19	legs	leg	NNS
20165	1826	20	are	be	VBP
20165	1826	21	not	not	RB
20165	1826	22	at	at	IN
20165	1826	23	the	the	DT
20165	1826	24	same	same	JJ
20165	1826	25	angle	angle	NN
20165	1826	26	as	as	IN
20165	1826	27	the	the	DT
20165	1826	28	front	front	JJ
20165	1826	29	ones	one	NNS
20165	1826	30	,	,	,
20165	1826	31	and	and	CC
20165	1826	32	that	that	IN
20165	1826	33	they	-PRON-	PRP
20165	1826	34	overlap	overlap	VBP
20165	1826	35	them	-PRON-	PRP
20165	1826	36	.	.	.
20165	1827	1	From	from	IN
20165	1827	2	_	_	NNP
20165	1827	3	E	E	NNP
20165	1827	4	_	_	NNP
20165	1827	5	raise	raise	VB
20165	1827	6	vertical	vertical	JJ
20165	1827	7	_	_	NNP
20165	1827	8	EF	EF	NNP
20165	1827	9	_	_	NNP
20165	1827	10	,	,	,
20165	1827	11	and	and	CC
20165	1827	12	divide	divide	VB
20165	1827	13	into	into	IN
20165	1827	14	as	as	RB
20165	1827	15	many	many	JJ
20165	1827	16	parts	part	NNS
20165	1827	17	as	as	IN
20165	1827	18	you	-PRON-	PRP
20165	1827	19	require	require	VBP
20165	1827	20	rounds	round	NNS
20165	1827	21	to	to	IN
20165	1827	22	the	the	DT
20165	1827	23	ladder	ladder	NN
20165	1827	24	.	.	.
20165	1828	1	From	from	IN
20165	1828	2	these	these	DT
20165	1828	3	divisions	division	NNS
20165	1828	4	draw	draw	VBP
20165	1828	5	lines	line	NNS
20165	1828	6	1	1	CD
20165	1828	7	1	1	CD
20165	1828	8	,	,	,
20165	1828	9	2	2	CD
20165	1828	10	2	2	CD
20165	1828	11	,	,	,
20165	1828	12	&	&	CC
20165	1828	13	c.	c.	NNP
20165	1828	14	,	,	,
20165	1828	15	towards	towards	IN
20165	1828	16	the	the	DT
20165	1828	17	other	other	JJ
20165	1828	18	vanishing	vanishing	NN
20165	1828	19	point	point	NN
20165	1828	20	(	(	-LRB-
20165	1828	21	not	not	RB
20165	1828	22	in	in	IN
20165	1828	23	the	the	DT
20165	1828	24	picture	picture	NN
20165	1828	25	)	)	-RRB-
20165	1828	26	,	,	,
20165	1828	27	but	but	CC
20165	1828	28	having	have	VBG
20165	1828	29	obtained	obtain	VBN
20165	1828	30	their	-PRON-	PRP$
20165	1828	31	direction	direction	NN
20165	1828	32	from	from	IN
20165	1828	33	the	the	DT
20165	1828	34	ground	ground	NN
20165	1828	35	-	-	HYPH
20165	1828	36	plan	plan	NN
20165	1828	37	in	in	IN
20165	1828	38	perspective	perspective	NN
20165	1828	39	at	at	IN
20165	1828	40	line	line	NN
20165	1828	41	_	_	NNP
20165	1828	42	Ee	Ee	NNP
20165	1828	43	_	_	NNP
20165	1828	44	,	,	,
20165	1828	45	you	-PRON-	PRP
20165	1828	46	may	may	MD
20165	1828	47	set	set	VB
20165	1828	48	up	up	RP
20165	1828	49	a	a	DT
20165	1828	50	second	second	JJ
20165	1828	51	vertical	vertical	JJ
20165	1828	52	_	_	NNP
20165	1828	53	ef	ef	NNP
20165	1828	54	_	_	NNP
20165	1828	55	at	at	IN
20165	1828	56	any	any	DT
20165	1828	57	point	point	NN
20165	1828	58	on	on	IN
20165	1828	59	_	_	NNP
20165	1828	60	Ee	Ee	NNP
20165	1828	61	_	_	NNP
20165	1828	62	and	and	CC
20165	1828	63	divide	divide	VB
20165	1828	64	it	-PRON-	PRP
20165	1828	65	into	into	IN
20165	1828	66	the	the	DT
20165	1828	67	same	same	JJ
20165	1828	68	number	number	NN
20165	1828	69	of	of	IN
20165	1828	70	parts	part	NNS
20165	1828	71	,	,	,
20165	1828	72	which	which	WDT
20165	1828	73	will	will	MD
20165	1828	74	be	be	VB
20165	1828	75	in	in	IN
20165	1828	76	proportion	proportion	NN
20165	1828	77	to	to	IN
20165	1828	78	those	those	DT
20165	1828	79	on	on	IN
20165	1828	80	_	_	NNP
20165	1828	81	EF	EF	NNP
20165	1828	82	_	_	NNP
20165	1828	83	,	,	,
20165	1828	84	and	and	CC
20165	1828	85	you	-PRON-	PRP
20165	1828	86	will	will	MD
20165	1828	87	obtain	obtain	VB
20165	1828	88	the	the	DT
20165	1828	89	same	same	JJ
20165	1828	90	result	result	NN
20165	1828	91	by	by	IN
20165	1828	92	drawing	draw	VBG
20165	1828	93	lines	line	NNS
20165	1828	94	from	from	IN
20165	1828	95	the	the	DT
20165	1828	96	divisions	division	NNS
20165	1828	97	on	on	IN
20165	1828	98	_	_	NNP
20165	1828	99	EF	EF	NNP
20165	1828	100	_	_	NNP
20165	1828	101	to	to	IN
20165	1828	102	those	those	DT
20165	1828	103	on	on	IN
20165	1828	104	_	_	NNP
20165	1828	105	ef	ef	NNP
20165	1828	106	_	_	NNP
20165	1828	107	as	as	IN
20165	1828	108	in	in	IN
20165	1828	109	drawing	draw	VBG
20165	1828	110	them	-PRON-	PRP
20165	1828	111	to	to	IN
20165	1828	112	the	the	DT
20165	1828	113	vanishing	vanish	VBG
20165	1828	114	point	point	NN
20165	1828	115	.	.	.
20165	1829	1	CXLI	CXLI	NNP
20165	1829	2	SQUARE	SQUARE	NNP
20165	1829	3	STEPS	STEPS	NNP
20165	1829	4	PLACED	PLACED	NNP
20165	1829	5	OVER	over	IN
20165	1829	6	EACH	each	NN
20165	1829	7	OTHER	other	JJ
20165	1829	8	[	[	-LRB-
20165	1829	9	Illustration	illustration	NN
20165	1829	10	:	:	:
20165	1829	11	Fig	Fig	NNP
20165	1829	12	.	.	.
20165	1830	1	253	253	CD
20165	1830	2	.	.	.
20165	1830	3	]	]	-RRB-
20165	1831	1	This	this	DT
20165	1831	2	figure	figure	NN
20165	1831	3	shows	show	VBZ
20165	1831	4	the	the	DT
20165	1831	5	other	other	JJ
20165	1831	6	method	method	NN
20165	1831	7	of	of	IN
20165	1831	8	drawing	draw	VBG
20165	1831	9	steps	step	NNS
20165	1831	10	,	,	,
20165	1831	11	which	which	WDT
20165	1831	12	is	be	VBZ
20165	1831	13	simple	simple	JJ
20165	1831	14	enough	enough	RB
20165	1831	15	if	if	IN
20165	1831	16	we	-PRON-	PRP
20165	1831	17	have	have	VBP
20165	1831	18	sufficient	sufficient	JJ
20165	1831	19	room	room	NN
20165	1831	20	for	for	IN
20165	1831	21	our	-PRON-	PRP$
20165	1831	22	vanishing	vanish	VBG
20165	1831	23	points	point	NNS
20165	1831	24	.	.	.
20165	1832	1	The	the	DT
20165	1832	2	manner	manner	NN
20165	1832	3	of	of	IN
20165	1832	4	working	work	VBG
20165	1832	5	it	-PRON-	PRP
20165	1832	6	is	be	VBZ
20165	1832	7	shown	show	VBN
20165	1832	8	at	at	IN
20165	1832	9	Fig	Fig	NNP
20165	1832	10	.	.	.
20165	1833	1	124	124	CD
20165	1833	2	.	.	.
20165	1834	1	CXLII	CXLII	NNP
20165	1834	2	STEPS	STEPS	NNP
20165	1834	3	AND	and	CC
20165	1834	4	A	A	NNP
20165	1834	5	DOUBLE	DOUBLE	NNP
20165	1834	6	CROSS	cros	VBN
20165	1834	7	DRAWN	DRAWN	NNS
20165	1834	8	BY	by	IN
20165	1834	9	MEANS	mean	NNS
20165	1834	10	OF	of	IN
20165	1834	11	DIAGONALS	diagonal	NNS
20165	1834	12	AND	and	CC
20165	1834	13	ONE	one	CD
20165	1834	14	VANISHING	vanishing	NN
20165	1834	15	POINT	POINT	NNP
20165	1834	16	Although	although	IN
20165	1834	17	in	in	IN
20165	1834	18	this	this	DT
20165	1834	19	figure	figure	NN
20165	1834	20	we	-PRON-	PRP
20165	1834	21	have	have	VBP
20165	1834	22	taken	take	VBN
20165	1834	23	a	a	DT
20165	1834	24	longer	long	JJR
20165	1834	25	distance	distance	NN
20165	1834	26	-	-	HYPH
20165	1834	27	point	point	NN
20165	1834	28	than	than	IN
20165	1834	29	in	in	IN
20165	1834	30	the	the	DT
20165	1834	31	previous	previous	JJ
20165	1834	32	one	one	NN
20165	1834	33	,	,	,
20165	1834	34	we	-PRON-	PRP
20165	1834	35	are	be	VBP
20165	1834	36	able	able	JJ
20165	1834	37	to	to	TO
20165	1834	38	draw	draw	VB
20165	1834	39	it	-PRON-	PRP
20165	1834	40	all	all	DT
20165	1834	41	within	within	IN
20165	1834	42	the	the	DT
20165	1834	43	page	page	NN
20165	1834	44	.	.	.
20165	1835	1	[	[	-LRB-
20165	1835	2	Illustration	illustration	NN
20165	1835	3	:	:	:
20165	1835	4	Fig	Fig	NNP
20165	1835	5	.	.	.
20165	1836	1	254	254	CD
20165	1836	2	.	.	.
20165	1836	3	]	]	-RRB-
20165	1837	1	Begin	begin	VB
20165	1837	2	by	by	IN
20165	1837	3	setting	set	VBG
20165	1837	4	out	out	RP
20165	1837	5	the	the	DT
20165	1837	6	square	square	JJ
20165	1837	7	base	base	NN
20165	1837	8	at	at	IN
20165	1837	9	the	the	DT
20165	1837	10	angle	angle	NN
20165	1837	11	required	require	VBN
20165	1837	12	.	.	.
20165	1838	1	Find	find	VB
20165	1838	2	point	point	NN
20165	1838	3	_	_	NNP
20165	1838	4	G	G	NNP
20165	1838	5	_	_	NNP
20165	1838	6	by	by	IN
20165	1838	7	means	mean	NNS
20165	1838	8	of	of	IN
20165	1838	9	diagonals	diagonal	NNS
20165	1838	10	,	,	,
20165	1838	11	and	and	CC
20165	1838	12	produce	produce	VB
20165	1838	13	_	_	NNP
20165	1838	14	AB	AB	NNP
20165	1838	15	_	_	NNP
20165	1838	16	to	to	IN
20165	1838	17	_	_	NNP
20165	1838	18	V	V	NNP
20165	1838	19	_	_	NNP
20165	1838	20	,	,	,
20165	1838	21	&	&	CC
20165	1838	22	c.	c.	NNP
20165	1838	23	Mark	Mark	NNP
20165	1838	24	height	height	NN
20165	1838	25	of	of	IN
20165	1838	26	step	step	NN
20165	1838	27	_	_	NNP
20165	1838	28	Ao	Ao	NNP
20165	1838	29	_	_	NNP
20165	1838	30	,	,	,
20165	1838	31	and	and	CC
20165	1838	32	proceed	proceed	VB
20165	1838	33	to	to	TO
20165	1838	34	draw	draw	VB
20165	1838	35	the	the	DT
20165	1838	36	steps	step	NNS
20165	1838	37	as	as	IN
20165	1838	38	already	already	RB
20165	1838	39	shown	show	VBN
20165	1838	40	.	.	.
20165	1839	1	Then	then	RB
20165	1839	2	by	by	IN
20165	1839	3	the	the	DT
20165	1839	4	diagonals	diagonal	NNS
20165	1839	5	and	and	CC
20165	1839	6	measurements	measurement	NNS
20165	1839	7	on	on	IN
20165	1839	8	base	base	NN
20165	1839	9	draw	draw	VB
20165	1839	10	the	the	DT
20165	1839	11	second	second	JJ
20165	1839	12	step	step	NN
20165	1839	13	and	and	CC
20165	1839	14	the	the	DT
20165	1839	15	square	square	NN
20165	1839	16	inside	inside	IN
20165	1839	17	it	-PRON-	PRP
20165	1839	18	on	on	IN
20165	1839	19	which	which	WDT
20165	1839	20	to	to	TO
20165	1839	21	stand	stand	VB
20165	1839	22	the	the	DT
20165	1839	23	foot	foot	NN
20165	1839	24	of	of	IN
20165	1839	25	the	the	DT
20165	1839	26	cross	cross	NN
20165	1839	27	.	.	.
20165	1840	1	To	to	TO
20165	1840	2	draw	draw	VB
20165	1840	3	the	the	DT
20165	1840	4	cross	cross	NN
20165	1840	5	,	,	,
20165	1840	6	raise	raise	VB
20165	1840	7	verticals	vertical	NNS
20165	1840	8	from	from	IN
20165	1840	9	the	the	DT
20165	1840	10	four	four	CD
20165	1840	11	corners	corner	NNS
20165	1840	12	of	of	IN
20165	1840	13	its	-PRON-	PRP$
20165	1840	14	base	base	NN
20165	1840	15	,	,	,
20165	1840	16	and	and	CC
20165	1840	17	a	a	DT
20165	1840	18	line	line	NN
20165	1840	19	_	_	NNP
20165	1840	20	K	K	NNP
20165	1840	21	_	_	NNP
20165	1840	22	from	from	IN
20165	1840	23	its	-PRON-	PRP$
20165	1840	24	centre	centre	NN
20165	1840	25	.	.	.
20165	1841	1	Through	through	IN
20165	1841	2	any	any	DT
20165	1841	3	point	point	NN
20165	1841	4	on	on	IN
20165	1841	5	this	this	DT
20165	1841	6	central	central	JJ
20165	1841	7	line	line	NN
20165	1841	8	,	,	,
20165	1841	9	if	if	IN
20165	1841	10	we	-PRON-	PRP
20165	1841	11	draw	draw	VBP
20165	1841	12	a	a	DT
20165	1841	13	diagonal	diagonal	JJ
20165	1841	14	from	from	IN
20165	1841	15	point	point	NN
20165	1841	16	_	_	NNP
20165	1841	17	G	G	NNP
20165	1841	18	_	_	NNP
20165	1841	19	we	-PRON-	PRP
20165	1841	20	cut	cut	VBD
20165	1841	21	the	the	DT
20165	1841	22	two	two	CD
20165	1841	23	opposite	opposite	JJ
20165	1841	24	verticals	vertical	NNS
20165	1841	25	of	of	IN
20165	1841	26	the	the	DT
20165	1841	27	shaft	shaft	NN
20165	1841	28	at	at	IN
20165	1841	29	_	_	NNP
20165	1841	30	mn	mn	NNP
20165	1841	31	_	_	NNP
20165	1841	32	(	(	-LRB-
20165	1841	33	see	see	VB
20165	1841	34	Fig	Fig	NNP
20165	1841	35	.	.	.
20165	1842	1	255	255	CD
20165	1842	2	)	)	-RRB-
20165	1842	3	,	,	,
20165	1842	4	and	and	CC
20165	1842	5	by	by	IN
20165	1842	6	means	mean	NNS
20165	1842	7	of	of	IN
20165	1842	8	the	the	DT
20165	1842	9	vanishing	vanish	VBG
20165	1842	10	point	point	NN
20165	1842	11	_	_	NNP
20165	1842	12	V	V	NNP
20165	1842	13	_	_	NNP
20165	1842	14	we	-PRON-	PRP
20165	1842	15	cut	cut	VBD
20165	1842	16	the	the	DT
20165	1842	17	other	other	JJ
20165	1842	18	two	two	CD
20165	1842	19	verticals	vertical	NNS
20165	1842	20	at	at	IN
20165	1842	21	the	the	DT
20165	1842	22	opposite	opposite	JJ
20165	1842	23	corners	corner	NNS
20165	1842	24	and	and	CC
20165	1842	25	thus	thus	RB
20165	1842	26	obtain	obtain	VB
20165	1842	27	the	the	DT
20165	1842	28	four	four	CD
20165	1842	29	points	point	NNS
20165	1842	30	through	through	IN
20165	1842	31	which	which	WDT
20165	1842	32	to	to	TO
20165	1842	33	draw	draw	VB
20165	1842	34	the	the	DT
20165	1842	35	other	other	JJ
20165	1842	36	sides	side	NNS
20165	1842	37	of	of	IN
20165	1842	38	the	the	DT
20165	1842	39	square	square	NN
20165	1842	40	,	,	,
20165	1842	41	which	which	WDT
20165	1842	42	go	go	VBP
20165	1842	43	to	to	IN
20165	1842	44	the	the	DT
20165	1842	45	distant	distant	JJ
20165	1842	46	or	or	CC
20165	1842	47	inaccessible	inaccessible	JJ
20165	1842	48	vanishing	vanishing	NN
20165	1842	49	point	point	NN
20165	1842	50	.	.	.
20165	1843	1	It	-PRON-	PRP
20165	1843	2	will	will	MD
20165	1843	3	be	be	VB
20165	1843	4	seen	see	VBN
20165	1843	5	by	by	IN
20165	1843	6	carefully	carefully	RB
20165	1843	7	examining	examine	VBG
20165	1843	8	the	the	DT
20165	1843	9	figure	figure	NN
20165	1843	10	that	that	IN
20165	1843	11	by	by	IN
20165	1843	12	this	this	DT
20165	1843	13	means	mean	VBZ
20165	1843	14	we	-PRON-	PRP
20165	1843	15	are	be	VBP
20165	1843	16	enabled	enable	VBN
20165	1843	17	to	to	TO
20165	1843	18	draw	draw	VB
20165	1843	19	the	the	DT
20165	1843	20	double	double	JJ
20165	1843	21	cross	cross	NN
20165	1843	22	standing	stand	VBG
20165	1843	23	on	on	IN
20165	1843	24	its	-PRON-	PRP$
20165	1843	25	steps	step	NNS
20165	1843	26	.	.	.
20165	1844	1	[	[	-LRB-
20165	1844	2	Illustration	illustration	NN
20165	1844	3	:	:	:
20165	1844	4	Fig	Fig	NNP
20165	1844	5	.	.	.
20165	1845	1	255	255	CD
20165	1845	2	.	.	.
20165	1845	3	]	]	-RRB-
20165	1846	1	[	[	-LRB-
20165	1846	2	Illustration	illustration	NN
20165	1846	3	:	:	:
20165	1846	4	Fig	Fig	NNP
20165	1846	5	.	.	.
20165	1847	1	256	256	CD
20165	1847	2	.	.	.
20165	1847	3	]	]	-RRB-
20165	1848	1	CXLIII	CXLIII	NNP
20165	1848	2	A	a	DT
20165	1848	3	STAIRCASE	staircase	NN
20165	1848	4	LEADING	lead	VBG
20165	1848	5	TO	to	IN
20165	1848	6	A	a	DT
20165	1848	7	GALLERY	gallery	NN
20165	1848	8	In	in	IN
20165	1848	9	this	this	DT
20165	1848	10	figure	figure	NN
20165	1848	11	we	-PRON-	PRP
20165	1848	12	have	have	VBP
20165	1848	13	made	make	VBN
20165	1848	14	use	use	NN
20165	1848	15	of	of	IN
20165	1848	16	the	the	DT
20165	1848	17	devices	device	NNS
20165	1848	18	already	already	RB
20165	1848	19	set	set	VBN
20165	1848	20	forth	forth	RP
20165	1848	21	in	in	IN
20165	1848	22	the	the	DT
20165	1848	23	foregoing	foregoing	JJ
20165	1848	24	figures	figure	NNS
20165	1848	25	of	of	IN
20165	1848	26	steps	step	NNS
20165	1848	27	,	,	,
20165	1848	28	&	&	CC
20165	1848	29	c.	c.	NNP
20165	1848	30	,	,	,
20165	1848	31	such	such	JJ
20165	1848	32	as	as	IN
20165	1848	33	the	the	DT
20165	1848	34	side	side	NN
20165	1848	35	scale	scale	NN
20165	1848	36	on	on	IN
20165	1848	37	the	the	DT
20165	1848	38	left	left	NN
20165	1848	39	of	of	IN
20165	1848	40	the	the	DT
20165	1848	41	figure	figure	NN
20165	1848	42	to	to	TO
20165	1848	43	ascertain	ascertain	VB
20165	1848	44	the	the	DT
20165	1848	45	height	height	NN
20165	1848	46	of	of	IN
20165	1848	47	the	the	DT
20165	1848	48	steps	step	NNS
20165	1848	49	,	,	,
20165	1848	50	the	the	DT
20165	1848	51	double	double	JJ
20165	1848	52	lines	line	NNS
20165	1848	53	drawn	draw	VBN
20165	1848	54	to	to	IN
20165	1848	55	the	the	DT
20165	1848	56	high	high	JJ
20165	1848	57	vanishing	vanishing	NN
20165	1848	58	point	point	NN
20165	1848	59	of	of	IN
20165	1848	60	the	the	DT
20165	1848	61	inclined	inclined	JJ
20165	1848	62	plane	plane	NN
20165	1848	63	,	,	,
20165	1848	64	and	and	CC
20165	1848	65	so	so	RB
20165	1848	66	on	on	RB
20165	1848	67	;	;	:
20165	1848	68	but	but	CC
20165	1848	69	the	the	DT
20165	1848	70	principal	principal	JJ
20165	1848	71	use	use	NN
20165	1848	72	of	of	IN
20165	1848	73	this	this	DT
20165	1848	74	diagram	diagram	NN
20165	1848	75	is	be	VBZ
20165	1848	76	to	to	TO
20165	1848	77	show	show	VB
20165	1848	78	on	on	IN
20165	1848	79	the	the	DT
20165	1848	80	perspective	perspective	JJ
20165	1848	81	plane	plane	NN
20165	1848	82	,	,	,
20165	1848	83	which	which	WDT
20165	1848	84	as	as	IN
20165	1848	85	it	-PRON-	PRP
20165	1848	86	were	be	VBD
20165	1848	87	runs	run	NNS
20165	1848	88	under	under	IN
20165	1848	89	the	the	DT
20165	1848	90	stairs	stair	NNS
20165	1848	91	,	,	,
20165	1848	92	the	the	DT
20165	1848	93	trace	trace	NN
20165	1848	94	or	or	CC
20165	1848	95	projection	projection	NN
20165	1848	96	of	of	IN
20165	1848	97	the	the	DT
20165	1848	98	flights	flight	NNS
20165	1848	99	of	of	IN
20165	1848	100	steps	step	NNS
20165	1848	101	,	,	,
20165	1848	102	the	the	DT
20165	1848	103	landings	landing	NNS
20165	1848	104	and	and	CC
20165	1848	105	positions	position	NNS
20165	1848	106	of	of	IN
20165	1848	107	other	other	JJ
20165	1848	108	objects	object	NNS
20165	1848	109	,	,	,
20165	1848	110	which	which	WDT
20165	1848	111	will	will	MD
20165	1848	112	be	be	VB
20165	1848	113	found	find	VBN
20165	1848	114	very	very	RB
20165	1848	115	useful	useful	JJ
20165	1848	116	in	in	IN
20165	1848	117	placing	place	VBG
20165	1848	118	figures	figure	NNS
20165	1848	119	in	in	IN
20165	1848	120	a	a	DT
20165	1848	121	composition	composition	NN
20165	1848	122	of	of	IN
20165	1848	123	this	this	DT
20165	1848	124	kind	kind	NN
20165	1848	125	.	.	.
20165	1849	1	It	-PRON-	PRP
20165	1849	2	will	will	MD
20165	1849	3	be	be	VB
20165	1849	4	seen	see	VBN
20165	1849	5	that	that	IN
20165	1849	6	these	these	DT
20165	1849	7	underneath	underneath	JJ
20165	1849	8	measurements	measurement	NNS
20165	1849	9	,	,	,
20165	1849	10	so	so	RB
20165	1849	11	to	to	TO
20165	1849	12	speak	speak	VB
20165	1849	13	,	,	,
20165	1849	14	are	be	VBP
20165	1849	15	obtained	obtain	VBN
20165	1849	16	by	by	IN
20165	1849	17	the	the	DT
20165	1849	18	half	half	JJ
20165	1849	19	-	-	HYPH
20165	1849	20	distance	distance	NN
20165	1849	21	.	.	.
20165	1850	1	CXLIV	CXLIV	NNP
20165	1850	2	WINDING	wind	VBN
20165	1850	3	STAIRS	stair	NNS
20165	1850	4	IN	in	IN
20165	1850	5	A	a	DT
20165	1850	6	SQUARE	SQUARE	NNP
20165	1850	7	SHAFT	SHAFT	NNS
20165	1850	8	Draw	Draw	NNP
20165	1850	9	square	square	NN
20165	1850	10	_	_	NNP
20165	1850	11	ABCD	ABCD	NNP
20165	1850	12	_	_	NNP
20165	1850	13	in	in	IN
20165	1850	14	parallel	parallel	JJ
20165	1850	15	perspective	perspective	NN
20165	1850	16	.	.	.
20165	1851	1	Divide	divide	VB
20165	1851	2	each	each	DT
20165	1851	3	side	side	NN
20165	1851	4	into	into	IN
20165	1851	5	four	four	CD
20165	1851	6	,	,	,
20165	1851	7	and	and	CC
20165	1851	8	raise	raise	VB
20165	1851	9	verticals	vertical	NNS
20165	1851	10	from	from	IN
20165	1851	11	each	each	DT
20165	1851	12	division	division	NN
20165	1851	13	.	.	.
20165	1852	1	These	these	DT
20165	1852	2	verticals	vertical	NNS
20165	1852	3	will	will	MD
20165	1852	4	mark	mark	VB
20165	1852	5	the	the	DT
20165	1852	6	positions	position	NNS
20165	1852	7	of	of	IN
20165	1852	8	the	the	DT
20165	1852	9	steps	step	NNS
20165	1852	10	on	on	IN
20165	1852	11	each	each	DT
20165	1852	12	wall	wall	NN
20165	1852	13	,	,	,
20165	1852	14	four	four	CD
20165	1852	15	in	in	IN
20165	1852	16	number	number	NN
20165	1852	17	.	.	.
20165	1853	1	From	from	IN
20165	1853	2	centre	centre	NN
20165	1853	3	_	_	NNP
20165	1853	4	O	O	NNP
20165	1853	5	_	_	NNP
20165	1853	6	raise	raise	VBP
20165	1853	7	vertical	vertical	JJ
20165	1853	8	_	_	NNP
20165	1853	9	OP	OP	NNP
20165	1853	10	_	_	NNP
20165	1853	11	,	,	,
20165	1853	12	around	around	IN
20165	1853	13	which	which	WDT
20165	1853	14	the	the	DT
20165	1853	15	steps	step	NNS
20165	1853	16	are	be	VBP
20165	1853	17	to	to	TO
20165	1853	18	wind	wind	VB
20165	1853	19	.	.	.
20165	1854	1	Let	let	VB
20165	1854	2	_	_	NNP
20165	1854	3	AF	AF	NNP
20165	1854	4	_	_	NNP
20165	1854	5	be	be	VB
20165	1854	6	the	the	DT
20165	1854	7	height	height	NN
20165	1854	8	of	of	IN
20165	1854	9	each	each	DT
20165	1854	10	step	step	NN
20165	1854	11	.	.	.
20165	1855	1	Form	form	NN
20165	1855	2	scale	scale	NN
20165	1855	3	_	_	NNP
20165	1855	4	AB	AB	NNP
20165	1855	5	_	_	NNP
20165	1855	6	,	,	,
20165	1855	7	which	which	WDT
20165	1855	8	will	will	MD
20165	1855	9	give	give	VB
20165	1855	10	the	the	DT
20165	1855	11	height	height	NN
20165	1855	12	of	of	IN
20165	1855	13	each	each	DT
20165	1855	14	step	step	NN
20165	1855	15	according	accord	VBG
20165	1855	16	to	to	IN
20165	1855	17	its	-PRON-	PRP$
20165	1855	18	position	position	NN
20165	1855	19	.	.	.
20165	1856	1	Thus	thus	RB
20165	1856	2	at	at	IN
20165	1856	3	_	_	NNP
20165	1856	4	mn	mn	NNP
20165	1856	5	_	_	NNP
20165	1856	6	we	-PRON-	PRP
20165	1856	7	find	find	VBP
20165	1856	8	the	the	DT
20165	1856	9	height	height	NN
20165	1856	10	at	at	IN
20165	1856	11	the	the	DT
20165	1856	12	centre	centre	NN
20165	1856	13	of	of	IN
20165	1856	14	the	the	DT
20165	1856	15	square	square	NN
20165	1856	16	,	,	,
20165	1856	17	so	so	CC
20165	1856	18	if	if	IN
20165	1856	19	we	-PRON-	PRP
20165	1856	20	transfer	transfer	VBP
20165	1856	21	this	this	DT
20165	1856	22	measurement	measurement	NN
20165	1856	23	to	to	IN
20165	1856	24	the	the	DT
20165	1856	25	central	central	JJ
20165	1856	26	line	line	NN
20165	1856	27	_	_	NNP
20165	1856	28	OP	OP	NNP
20165	1856	29	_	_	NNP
20165	1856	30	and	and	CC
20165	1856	31	repeat	repeat	VB
20165	1856	32	it	-PRON-	PRP
20165	1856	33	upwards	upwards	RB
20165	1856	34	,	,	,
20165	1856	35	say	say	VBP
20165	1856	36	to	to	IN
20165	1856	37	fourteen	fourteen	CD
20165	1856	38	,	,	,
20165	1856	39	then	then	RB
20165	1856	40	we	-PRON-	PRP
20165	1856	41	have	have	VBP
20165	1856	42	the	the	DT
20165	1856	43	height	height	NN
20165	1856	44	of	of	IN
20165	1856	45	each	each	DT
20165	1856	46	step	step	NN
20165	1856	47	on	on	IN
20165	1856	48	the	the	DT
20165	1856	49	line	line	NN
20165	1856	50	where	where	WRB
20165	1856	51	they	-PRON-	PRP
20165	1856	52	all	all	DT
20165	1856	53	meet	meet	VBP
20165	1856	54	.	.	.
20165	1857	1	Starting	start	VBG
20165	1857	2	then	then	RB
20165	1857	3	with	with	IN
20165	1857	4	the	the	DT
20165	1857	5	first	first	JJ
20165	1857	6	on	on	IN
20165	1857	7	the	the	DT
20165	1857	8	right	right	NN
20165	1857	9	,	,	,
20165	1857	10	draw	draw	VB
20165	1857	11	the	the	DT
20165	1857	12	rectangle	rectangle	NNP
20165	1857	13	_	_	NNP
20165	1857	14	gD1f	gd1f	NN
20165	1857	15	_	_	NNP
20165	1857	16	,	,	,
20165	1857	17	the	the	DT
20165	1857	18	height	height	NN
20165	1857	19	of	of	IN
20165	1857	20	_	_	NNP
20165	1857	21	AF	AF	NNP
20165	1857	22	_	_	NNP
20165	1857	23	,	,	,
20165	1857	24	then	then	RB
20165	1857	25	draw	draw	VB
20165	1857	26	to	to	IN
20165	1857	27	the	the	DT
20165	1857	28	central	central	JJ
20165	1857	29	line	line	NN
20165	1857	30	_	_	NNP
20165	1857	31	go	go	NN
20165	1857	32	_	_	NNP
20165	1857	33	,	,	,
20165	1857	34	f1	f1	NNP
20165	1857	35	,	,	,
20165	1857	36	and	and	CC
20165	1857	37	1	1	CD
20165	1857	38	1	1	CD
20165	1857	39	,	,	,
20165	1857	40	and	and	CC
20165	1857	41	thus	thus	RB
20165	1857	42	complete	complete	JJ
20165	1857	43	the	the	DT
20165	1857	44	first	first	JJ
20165	1857	45	step	step	NN
20165	1857	46	.	.	.
20165	1858	1	On	on	IN
20165	1858	2	_	_	NNP
20165	1858	3	DE	DE	NNP
20165	1858	4	_	_	NNP
20165	1858	5	,	,	,
20165	1858	6	measure	measure	NN
20165	1858	7	heights	height	NNS
20165	1858	8	equal	equal	JJ
20165	1858	9	to	to	IN
20165	1858	10	_	_	NNP
20165	1858	11	D	D	NNP
20165	1858	12	1	1	CD
20165	1858	13	_	_	NNP
20165	1858	14	.	.	.
20165	1859	1	Draw	draw	NN
20165	1859	2	2	2	CD
20165	1859	3	2	2	CD
20165	1859	4	towards	towards	IN
20165	1859	5	central	central	JJ
20165	1859	6	line	line	NN
20165	1859	7	,	,	,
20165	1859	8	and	and	CC
20165	1859	9	2n	2n	CD
20165	1859	10	towards	towards	IN
20165	1859	11	point	point	NN
20165	1859	12	of	of	IN
20165	1859	13	sight	sight	NN
20165	1859	14	till	till	IN
20165	1859	15	it	-PRON-	PRP
20165	1859	16	meets	meet	VBZ
20165	1859	17	the	the	DT
20165	1859	18	second	second	JJ
20165	1859	19	vertical	vertical	JJ
20165	1859	20	_	_	NNP
20165	1859	21	nK	nK	NNP
20165	1859	22	_	_	NNP
20165	1859	23	.	.	.
20165	1860	1	Then	then	RB
20165	1860	2	draw	draw	VB
20165	1860	3	n2	n2	NNP
20165	1860	4	to	to	IN
20165	1860	5	centre	centre	NN
20165	1860	6	,	,	,
20165	1860	7	and	and	CC
20165	1860	8	so	so	RB
20165	1860	9	complete	complete	JJ
20165	1860	10	the	the	DT
20165	1860	11	second	second	JJ
20165	1860	12	step	step	NN
20165	1860	13	.	.	.
20165	1861	1	From	from	IN
20165	1861	2	3	3	CD
20165	1861	3	draw	draw	NN
20165	1861	4	3a	3a	CD
20165	1861	5	to	to	IN
20165	1861	6	third	third	JJ
20165	1861	7	vertical	vertical	JJ
20165	1861	8	,	,	,
20165	1861	9	from	from	IN
20165	1861	10	4	4	CD
20165	1861	11	to	to	IN
20165	1861	12	fourth	fourth	JJ
20165	1861	13	,	,	,
20165	1861	14	and	and	CC
20165	1861	15	so	so	RB
20165	1861	16	on	on	RB
20165	1861	17	,	,	,
20165	1861	18	thus	thus	RB
20165	1861	19	obtaining	obtain	VBG
20165	1861	20	the	the	DT
20165	1861	21	height	height	NN
20165	1861	22	of	of	IN
20165	1861	23	each	each	DT
20165	1861	24	ascending	ascend	VBG
20165	1861	25	step	step	NN
20165	1861	26	on	on	IN
20165	1861	27	the	the	DT
20165	1861	28	wall	wall	NN
20165	1861	29	to	to	IN
20165	1861	30	the	the	DT
20165	1861	31	right	right	NN
20165	1861	32	,	,	,
20165	1861	33	completing	complete	VBG
20165	1861	34	them	-PRON-	PRP
20165	1861	35	in	in	IN
20165	1861	36	the	the	DT
20165	1861	37	same	same	JJ
20165	1861	38	way	way	NN
20165	1861	39	as	as	IN
20165	1861	40	numbers	number	NNS
20165	1861	41	1	1	CD
20165	1861	42	and	and	CC
20165	1861	43	2	2	CD
20165	1861	44	,	,	,
20165	1861	45	when	when	WRB
20165	1861	46	we	-PRON-	PRP
20165	1861	47	come	come	VBP
20165	1861	48	to	to	IN
20165	1861	49	the	the	DT
20165	1861	50	sixth	sixth	JJ
20165	1861	51	step	step	NN
20165	1861	52	,	,	,
20165	1861	53	the	the	DT
20165	1861	54	other	other	JJ
20165	1861	55	end	end	NN
20165	1861	56	of	of	IN
20165	1861	57	which	which	WDT
20165	1861	58	is	be	VBZ
20165	1861	59	against	against	IN
20165	1861	60	the	the	DT
20165	1861	61	wall	wall	NN
20165	1861	62	opposite	opposite	RB
20165	1861	63	to	to	IN
20165	1861	64	us	-PRON-	PRP
20165	1861	65	.	.	.
20165	1862	1	Steps	step	NNS
20165	1862	2	6	6	CD
20165	1862	3	,	,	,
20165	1862	4	7	7	CD
20165	1862	5	,	,	,
20165	1862	6	8	8	CD
20165	1862	7	,	,	,
20165	1862	8	9	9	CD
20165	1862	9	are	be	VBP
20165	1862	10	all	all	RB
20165	1862	11	on	on	IN
20165	1862	12	this	this	DT
20165	1862	13	wall	wall	NN
20165	1862	14	,	,	,
20165	1862	15	and	and	CC
20165	1862	16	are	be	VBP
20165	1862	17	therefore	therefore	RB
20165	1862	18	equal	equal	JJ
20165	1862	19	in	in	IN
20165	1862	20	height	height	NN
20165	1862	21	all	all	RB
20165	1862	22	along	along	RB
20165	1862	23	,	,	,
20165	1862	24	as	as	IN
20165	1862	25	they	-PRON-	PRP
20165	1862	26	are	be	VBP
20165	1862	27	equally	equally	RB
20165	1862	28	distant	distant	JJ
20165	1862	29	.	.	.
20165	1863	1	Step	step	NN
20165	1863	2	10	10	CD
20165	1863	3	is	be	VBZ
20165	1863	4	turned	turn	VBN
20165	1863	5	towards	towards	IN
20165	1863	6	us	-PRON-	PRP
20165	1863	7	,	,	,
20165	1863	8	and	and	CC
20165	1863	9	abuts	abut	NNS
20165	1863	10	on	on	IN
20165	1863	11	the	the	DT
20165	1863	12	wall	wall	NN
20165	1863	13	to	to	IN
20165	1863	14	our	-PRON-	PRP$
20165	1863	15	left	left	NN
20165	1863	16	;	;	:
20165	1863	17	its	-PRON-	PRP$
20165	1863	18	measurement	measurement	NN
20165	1863	19	is	be	VBZ
20165	1863	20	taken	take	VBN
20165	1863	21	on	on	IN
20165	1863	22	the	the	DT
20165	1863	23	scale	scale	NN
20165	1863	24	_	_	NNP
20165	1863	25	AB	AB	NNP
20165	1863	26	_	_	NNP
20165	1863	27	just	just	RB
20165	1863	28	underneath	underneath	IN
20165	1863	29	it	-PRON-	PRP
20165	1863	30	,	,	,
20165	1863	31	and	and	CC
20165	1863	32	on	on	IN
20165	1863	33	the	the	DT
20165	1863	34	same	same	JJ
20165	1863	35	line	line	NN
20165	1863	36	to	to	TO
20165	1863	37	which	which	WDT
20165	1863	38	it	-PRON-	PRP
20165	1863	39	is	be	VBZ
20165	1863	40	drawn	draw	VBN
20165	1863	41	.	.	.
20165	1864	1	Step	step	NN
20165	1864	2	11	11	CD
20165	1864	3	is	be	VBZ
20165	1864	4	just	just	RB
20165	1864	5	over	over	IN
20165	1864	6	the	the	DT
20165	1864	7	centre	centre	NN
20165	1864	8	of	of	IN
20165	1864	9	base	base	NN
20165	1864	10	_	_	NNP
20165	1864	11	mo	mo	NNP
20165	1864	12	_	_	NNP
20165	1864	13	,	,	,
20165	1864	14	and	and	CC
20165	1864	15	is	be	VBZ
20165	1864	16	therefore	therefore	RB
20165	1864	17	parallel	parallel	JJ
20165	1864	18	to	to	IN
20165	1864	19	it	-PRON-	PRP
20165	1864	20	,	,	,
20165	1864	21	and	and	CC
20165	1864	22	its	-PRON-	PRP$
20165	1864	23	height	height	NN
20165	1864	24	is	be	VBZ
20165	1864	25	_	_	NNP
20165	1864	26	mn	mn	NNP
20165	1864	27	_	_	NNP
20165	1864	28	.	.	.
20165	1865	1	The	the	DT
20165	1865	2	widths	width	NNS
20165	1865	3	of	of	IN
20165	1865	4	steps	step	NNS
20165	1865	5	12	12	CD
20165	1865	6	and	and	CC
20165	1865	7	13	13	CD
20165	1865	8	seem	seem	VBP
20165	1865	9	gradually	gradually	RB
20165	1865	10	to	to	TO
20165	1865	11	increase	increase	VB
20165	1865	12	as	as	IN
20165	1865	13	they	-PRON-	PRP
20165	1865	14	come	come	VBP
20165	1865	15	towards	towards	IN
20165	1865	16	us	-PRON-	PRP
20165	1865	17	,	,	,
20165	1865	18	and	and	CC
20165	1865	19	as	as	IN
20165	1865	20	they	-PRON-	PRP
20165	1865	21	rise	rise	VBP
20165	1865	22	above	above	IN
20165	1865	23	the	the	DT
20165	1865	24	horizon	horizon	NN
20165	1865	25	we	-PRON-	PRP
20165	1865	26	begin	begin	VBP
20165	1865	27	to	to	TO
20165	1865	28	see	see	VB
20165	1865	29	underneath	underneath	IN
20165	1865	30	them	-PRON-	PRP
20165	1865	31	.	.	.
20165	1866	1	Steps	step	NNS
20165	1866	2	13	13	CD
20165	1866	3	,	,	,
20165	1866	4	14	14	CD
20165	1866	5	,	,	,
20165	1866	6	15	15	CD
20165	1866	7	,	,	,
20165	1866	8	16	16	CD
20165	1866	9	are	be	VBP
20165	1866	10	against	against	IN
20165	1866	11	the	the	DT
20165	1866	12	wall	wall	NN
20165	1866	13	on	on	IN
20165	1866	14	this	this	DT
20165	1866	15	side	side	NN
20165	1866	16	of	of	IN
20165	1866	17	the	the	DT
20165	1866	18	picture	picture	NN
20165	1866	19	,	,	,
20165	1866	20	which	which	WDT
20165	1866	21	we	-PRON-	PRP
20165	1866	22	may	may	MD
20165	1866	23	suppose	suppose	VB
20165	1866	24	has	have	VBZ
20165	1866	25	been	be	VBN
20165	1866	26	removed	remove	VBN
20165	1866	27	to	to	TO
20165	1866	28	show	show	VB
20165	1866	29	the	the	DT
20165	1866	30	working	working	NN
20165	1866	31	of	of	IN
20165	1866	32	the	the	DT
20165	1866	33	drawing	drawing	NN
20165	1866	34	,	,	,
20165	1866	35	or	or	CC
20165	1866	36	they	-PRON-	PRP
20165	1866	37	might	may	MD
20165	1866	38	be	be	VB
20165	1866	39	an	an	DT
20165	1866	40	open	open	JJ
20165	1866	41	flight	flight	NN
20165	1866	42	as	as	IN
20165	1866	43	we	-PRON-	PRP
20165	1866	44	sometimes	sometimes	RB
20165	1866	45	see	see	VBP
20165	1866	46	in	in	IN
20165	1866	47	shops	shop	NNS
20165	1866	48	and	and	CC
20165	1866	49	galleries	gallery	NNS
20165	1866	50	,	,	,
20165	1866	51	although	although	IN
20165	1866	52	in	in	IN
20165	1866	53	that	that	DT
20165	1866	54	case	case	NN
20165	1866	55	they	-PRON-	PRP
20165	1866	56	are	be	VBP
20165	1866	57	generally	generally	RB
20165	1866	58	enclosed	enclose	VBN
20165	1866	59	in	in	IN
20165	1866	60	a	a	DT
20165	1866	61	cylindrical	cylindrical	JJ
20165	1866	62	shaft	shaft	NN
20165	1866	63	.	.	.
20165	1867	1	[	[	-LRB-
20165	1867	2	Illustration	illustration	NN
20165	1867	3	:	:	:
20165	1867	4	Fig	Fig	NNP
20165	1867	5	.	.	.
20165	1868	1	257	257	CD
20165	1868	2	.	.	.
20165	1868	3	]	]	-RRB-
20165	1869	1	[	[	-LRB-
20165	1869	2	Illustration	illustration	NN
20165	1869	3	:	:	:
20165	1869	4	Fig	Fig	NNP
20165	1869	5	.	.	.
20165	1870	1	258	258	CD
20165	1870	2	.	.	.
20165	1870	3	]	]	-RRB-
20165	1871	1	CXLV	CXLV	NNS
20165	1871	2	WINDING	winding	NN
20165	1871	3	STAIRS	stairs	NN
20165	1871	4	IN	in	IN
20165	1871	5	A	a	DT
20165	1871	6	CYLINDRICAL	cylindrical	NN
20165	1871	7	SHAFT	shaft	RB
20165	1871	8	First	first	RB
20165	1871	9	draw	draw	VBP
20165	1871	10	the	the	DT
20165	1871	11	circular	circular	JJ
20165	1871	12	base	base	NN
20165	1871	13	_	_	NNP
20165	1871	14	CD	CD	NNP
20165	1871	15	_	_	NNP
20165	1871	16	.	.	.
20165	1872	1	Divide	divide	VB
20165	1872	2	the	the	DT
20165	1872	3	circumference	circumference	NN
20165	1872	4	into	into	IN
20165	1872	5	equal	equal	JJ
20165	1872	6	parts	part	NNS
20165	1872	7	,	,	,
20165	1872	8	according	accord	VBG
20165	1872	9	to	to	IN
20165	1872	10	the	the	DT
20165	1872	11	number	number	NN
20165	1872	12	of	of	IN
20165	1872	13	steps	step	NNS
20165	1872	14	in	in	IN
20165	1872	15	a	a	DT
20165	1872	16	complete	complete	JJ
20165	1872	17	round	round	NN
20165	1872	18	,	,	,
20165	1872	19	say	say	VBP
20165	1872	20	twelve	twelve	CD
20165	1872	21	.	.	.
20165	1873	1	Form	form	NN
20165	1873	2	scale	scale	NN
20165	1873	3	_	_	NNP
20165	1873	4	ASF	ASF	NNP
20165	1873	5	_	_	NNP
20165	1873	6	and	and	CC
20165	1873	7	the	the	DT
20165	1873	8	larger	large	JJR
20165	1873	9	scale	scale	NN
20165	1873	10	_	_	NNP
20165	1873	11	ASB	ASB	NNP
20165	1873	12	_	_	NNP
20165	1873	13	,	,	,
20165	1873	14	on	on	IN
20165	1873	15	which	which	WDT
20165	1873	16	is	be	VBZ
20165	1873	17	shown	show	VBN
20165	1873	18	the	the	DT
20165	1873	19	perspective	perspective	JJ
20165	1873	20	measurements	measurement	NNS
20165	1873	21	of	of	IN
20165	1873	22	the	the	DT
20165	1873	23	steps	step	NNS
20165	1873	24	according	accord	VBG
20165	1873	25	to	to	IN
20165	1873	26	their	-PRON-	PRP$
20165	1873	27	positions	position	NNS
20165	1873	28	;	;	:
20165	1873	29	raise	raise	VB
20165	1873	30	verticals	vertical	NNS
20165	1873	31	such	such	JJ
20165	1873	32	as	as	IN
20165	1873	33	_	_	NNP
20165	1873	34	ef	ef	NNP
20165	1873	35	_	_	NNP
20165	1873	36	,	,	,
20165	1873	37	_	_	NNP
20165	1873	38	Gh	Gh	NNP
20165	1873	39	_	_	NNP
20165	1873	40	,	,	,
20165	1873	41	&	&	CC
20165	1873	42	c.	c.	NNP
20165	1873	43	From	from	IN
20165	1873	44	divisions	division	NNS
20165	1873	45	on	on	IN
20165	1873	46	circumference	circumference	NN
20165	1873	47	measure	measure	NN
20165	1873	48	out	out	RP
20165	1873	49	the	the	DT
20165	1873	50	central	central	JJ
20165	1873	51	line	line	NN
20165	1873	52	_	_	NNP
20165	1873	53	OP	OP	NNP
20165	1873	54	_	_	NNP
20165	1873	55	,	,	,
20165	1873	56	as	as	IN
20165	1873	57	in	in	IN
20165	1873	58	the	the	DT
20165	1873	59	other	other	JJ
20165	1873	60	figure	figure	NN
20165	1873	61	,	,	,
20165	1873	62	and	and	CC
20165	1873	63	find	find	VB
20165	1873	64	the	the	DT
20165	1873	65	heights	height	NNS
20165	1873	66	of	of	IN
20165	1873	67	the	the	DT
20165	1873	68	steps	step	NNS
20165	1873	69	1	1	CD
20165	1873	70	,	,	,
20165	1873	71	2	2	CD
20165	1873	72	,	,	,
20165	1873	73	3	3	CD
20165	1873	74	,	,	,
20165	1873	75	4	4	CD
20165	1873	76	,	,	,
20165	1873	77	&	&	CC
20165	1873	78	c.	c.	NNP
20165	1873	79	,	,	,
20165	1873	80	by	by	IN
20165	1873	81	the	the	DT
20165	1873	82	corresponding	corresponding	JJ
20165	1873	83	numbers	number	NNS
20165	1873	84	in	in	IN
20165	1873	85	the	the	DT
20165	1873	86	large	large	JJ
20165	1873	87	scale	scale	NN
20165	1873	88	to	to	IN
20165	1873	89	the	the	DT
20165	1873	90	left	left	NN
20165	1873	91	;	;	:
20165	1873	92	then	then	RB
20165	1873	93	proceed	proceed	VB
20165	1873	94	in	in	IN
20165	1873	95	much	much	RB
20165	1873	96	the	the	DT
20165	1873	97	same	same	JJ
20165	1873	98	way	way	NN
20165	1873	99	as	as	IN
20165	1873	100	in	in	IN
20165	1873	101	the	the	DT
20165	1873	102	previous	previous	JJ
20165	1873	103	figure	figure	NN
20165	1873	104	.	.	.
20165	1874	1	Note	note	VB
20165	1874	2	the	the	DT
20165	1874	3	central	central	JJ
20165	1874	4	column	column	NN
20165	1874	5	_	_	NNP
20165	1874	6	OP	OP	NNP
20165	1874	7	_	_	NNP
20165	1874	8	cuts	cut	VBZ
20165	1874	9	off	off	RP
20165	1874	10	a	a	DT
20165	1874	11	small	small	JJ
20165	1874	12	portion	portion	NN
20165	1874	13	of	of	IN
20165	1874	14	the	the	DT
20165	1874	15	steps	step	NNS
20165	1874	16	at	at	IN
20165	1874	17	that	that	DT
20165	1874	18	end	end	NN
20165	1874	19	.	.	.
20165	1875	1	In	in	IN
20165	1875	2	ordinary	ordinary	JJ
20165	1875	3	cases	case	NNS
20165	1875	4	only	only	RB
20165	1875	5	a	a	DT
20165	1875	6	small	small	JJ
20165	1875	7	portion	portion	NN
20165	1875	8	of	of	IN
20165	1875	9	a	a	DT
20165	1875	10	winding	winding	NN
20165	1875	11	staircase	staircase	NN
20165	1875	12	is	be	VBZ
20165	1875	13	actually	actually	RB
20165	1875	14	seen	see	VBN
20165	1875	15	,	,	,
20165	1875	16	as	as	IN
20165	1875	17	in	in	IN
20165	1875	18	this	this	DT
20165	1875	19	sketch	sketch	NN
20165	1875	20	.	.	.
20165	1876	1	[	[	-LRB-
20165	1876	2	Illustration	illustration	NN
20165	1876	3	:	:	:
20165	1876	4	Fig	Fig	NNP
20165	1876	5	.	.	.
20165	1877	1	259	259	CD
20165	1877	2	.	.	.
20165	1878	1	Sketch	Sketch	NNP
20165	1878	2	of	of	IN
20165	1878	3	Courtyard	Courtyard	NNP
20165	1878	4	in	in	IN
20165	1878	5	Toledo	Toledo	NNP
20165	1878	6	.	.	.
20165	1878	7	]	]	-RRB-
20165	1879	1	CXLVI	cxlvi	NN
20165	1879	2	OF	of	IN
20165	1879	3	THE	the	DT
20165	1879	4	CYLINDRICAL	cylindrical	NN
20165	1879	5	PICTURE	picture	NN
20165	1879	6	OR	or	CC
20165	1879	7	DIORAMA	diorama	NN
20165	1879	8	[	[	-LRB-
20165	1879	9	Illustration	illustration	NN
20165	1879	10	:	:	:
20165	1879	11	Fig	Fig	NNP
20165	1879	12	.	.	.
20165	1880	1	260	260	CD
20165	1880	2	.	.	.
20165	1880	3	]	]	-RRB-
20165	1881	1	Although	although	IN
20165	1881	2	illusion	illusion	NN
20165	1881	3	is	be	VBZ
20165	1881	4	by	by	IN
20165	1881	5	no	no	DT
20165	1881	6	means	means	NN
20165	1881	7	the	the	DT
20165	1881	8	highest	high	JJS
20165	1881	9	form	form	NN
20165	1881	10	of	of	IN
20165	1881	11	art	art	NN
20165	1881	12	,	,	,
20165	1881	13	there	there	EX
20165	1881	14	is	be	VBZ
20165	1881	15	no	no	DT
20165	1881	16	picture	picture	NN
20165	1881	17	painted	paint	VBN
20165	1881	18	on	on	IN
20165	1881	19	a	a	DT
20165	1881	20	flat	flat	JJ
20165	1881	21	surface	surface	NN
20165	1881	22	that	that	WDT
20165	1881	23	gives	give	VBZ
20165	1881	24	such	such	PDT
20165	1881	25	a	a	DT
20165	1881	26	wonderful	wonderful	JJ
20165	1881	27	appearance	appearance	NN
20165	1881	28	of	of	IN
20165	1881	29	truth	truth	NN
20165	1881	30	as	as	IN
20165	1881	31	that	that	DT
20165	1881	32	painted	paint	VBD
20165	1881	33	on	on	IN
20165	1881	34	a	a	DT
20165	1881	35	cylindrical	cylindrical	JJ
20165	1881	36	canvas	canvas	NN
20165	1881	37	,	,	,
20165	1881	38	such	such	JJ
20165	1881	39	as	as	IN
20165	1881	40	those	those	DT
20165	1881	41	panoramas	panorama	NNS
20165	1881	42	of	of	IN
20165	1881	43	'	'	``
20165	1881	44	Paris	Paris	NNP
20165	1881	45	during	during	IN
20165	1881	46	the	the	DT
20165	1881	47	Siege	Siege	NNP
20165	1881	48	'	'	''
20165	1881	49	,	,	,
20165	1881	50	exhibited	exhibit	VBD
20165	1881	51	some	some	DT
20165	1881	52	years	year	NNS
20165	1881	53	ago	ago	RB
20165	1881	54	;	;	:
20165	1881	55	'	'	''
20165	1881	56	The	the	DT
20165	1881	57	Battle	Battle	NNP
20165	1881	58	of	of	IN
20165	1881	59	Trafalgar	Trafalgar	NNP
20165	1881	60	'	'	''
20165	1881	61	,	,	,
20165	1881	62	only	only	RB
20165	1881	63	lately	lately	RB
20165	1881	64	shown	show	VBN
20165	1881	65	at	at	IN
20165	1881	66	Earl	Earl	NNP
20165	1881	67	's	's	POS
20165	1881	68	Court	Court	NNP
20165	1881	69	;	;	:
20165	1881	70	and	and	CC
20165	1881	71	many	many	JJ
20165	1881	72	others	other	NNS
20165	1881	73	.	.	.
20165	1882	1	In	in	IN
20165	1882	2	these	these	DT
20165	1882	3	pictures	picture	NNS
20165	1882	4	the	the	DT
20165	1882	5	spectator	spectator	NN
20165	1882	6	is	be	VBZ
20165	1882	7	in	in	IN
20165	1882	8	the	the	DT
20165	1882	9	centre	centre	NN
20165	1882	10	of	of	IN
20165	1882	11	a	a	DT
20165	1882	12	cylinder	cylinder	NN
20165	1882	13	,	,	,
20165	1882	14	and	and	CC
20165	1882	15	although	although	IN
20165	1882	16	he	-PRON-	PRP
20165	1882	17	turns	turn	VBZ
20165	1882	18	round	round	JJ
20165	1882	19	to	to	TO
20165	1882	20	look	look	VB
20165	1882	21	at	at	IN
20165	1882	22	the	the	DT
20165	1882	23	scene	scene	NN
20165	1882	24	the	the	DT
20165	1882	25	point	point	NN
20165	1882	26	of	of	IN
20165	1882	27	sight	sight	NN
20165	1882	28	is	be	VBZ
20165	1882	29	always	always	RB
20165	1882	30	in	in	IN
20165	1882	31	front	front	NN
20165	1882	32	of	of	IN
20165	1882	33	him	-PRON-	PRP
20165	1882	34	,	,	,
20165	1882	35	or	or	CC
20165	1882	36	nearly	nearly	RB
20165	1882	37	so	so	RB
20165	1882	38	.	.	.
20165	1883	1	I	-PRON-	PRP
20165	1883	2	believe	believe	VBP
20165	1883	3	on	on	IN
20165	1883	4	the	the	DT
20165	1883	5	canvas	canvas	NN
20165	1883	6	these	these	DT
20165	1883	7	points	point	NNS
20165	1883	8	are	be	VBP
20165	1883	9	from	from	IN
20165	1883	10	12	12	CD
20165	1883	11	to	to	TO
20165	1883	12	16	16	CD
20165	1883	13	feet	foot	NNS
20165	1883	14	apart	apart	RB
20165	1883	15	.	.	.
20165	1884	1	The	the	DT
20165	1884	2	reason	reason	NN
20165	1884	3	of	of	IN
20165	1884	4	this	this	DT
20165	1884	5	look	look	NN
20165	1884	6	of	of	IN
20165	1884	7	truth	truth	NN
20165	1884	8	may	may	MD
20165	1884	9	be	be	VB
20165	1884	10	explained	explain	VBN
20165	1884	11	thus	thus	RB
20165	1884	12	.	.	.
20165	1885	1	If	if	IN
20165	1885	2	we	-PRON-	PRP
20165	1885	3	place	place	VBP
20165	1885	4	three	three	CD
20165	1885	5	globes	globe	NNS
20165	1885	6	of	of	IN
20165	1885	7	equal	equal	JJ
20165	1885	8	size	size	NN
20165	1885	9	in	in	IN
20165	1885	10	a	a	DT
20165	1885	11	straight	straight	JJ
20165	1885	12	line	line	NN
20165	1885	13	,	,	,
20165	1885	14	and	and	CC
20165	1885	15	trace	trace	VB
20165	1885	16	their	-PRON-	PRP$
20165	1885	17	apparent	apparent	JJ
20165	1885	18	widths	width	NNS
20165	1885	19	on	on	IN
20165	1885	20	to	to	IN
20165	1885	21	a	a	DT
20165	1885	22	straight	straight	JJ
20165	1885	23	transparent	transparent	JJ
20165	1885	24	plane	plane	NN
20165	1885	25	,	,	,
20165	1885	26	those	those	DT
20165	1885	27	at	at	IN
20165	1885	28	the	the	DT
20165	1885	29	sides	side	NNS
20165	1885	30	,	,	,
20165	1885	31	as	as	IN
20165	1885	32	_	_	NNP
20165	1885	33	a	a	DT
20165	1885	34	_	_	NNP
20165	1885	35	and	and	CC
20165	1885	36	_	_	NNP
20165	1885	37	b	b	NNP
20165	1885	38	_	_	NNP
20165	1885	39	,	,	,
20165	1885	40	will	will	MD
20165	1885	41	appear	appear	VB
20165	1885	42	much	much	RB
20165	1885	43	wider	wide	JJR
20165	1885	44	than	than	IN
20165	1885	45	the	the	DT
20165	1885	46	centre	centre	NN
20165	1885	47	one	one	CD
20165	1885	48	at	at	IN
20165	1885	49	_	_	NNP
20165	1885	50	c	c	NNP
20165	1885	51	_	_	NNP
20165	1885	52	.	.	.
20165	1886	1	Whereas	whereas	IN
20165	1886	2	,	,	,
20165	1886	3	if	if	IN
20165	1886	4	we	-PRON-	PRP
20165	1886	5	trace	trace	VBP
20165	1886	6	them	-PRON-	PRP
20165	1886	7	on	on	IN
20165	1886	8	a	a	DT
20165	1886	9	semicircular	semicircular	JJ
20165	1886	10	glass	glass	NN
20165	1886	11	they	-PRON-	PRP
20165	1886	12	will	will	MD
20165	1886	13	appear	appear	VB
20165	1886	14	very	very	RB
20165	1886	15	nearly	nearly	RB
20165	1886	16	equal	equal	JJ
20165	1886	17	and	and	CC
20165	1886	18	,	,	,
20165	1886	19	of	of	IN
20165	1886	20	the	the	DT
20165	1886	21	three	three	CD
20165	1886	22	,	,	,
20165	1886	23	the	the	DT
20165	1886	24	central	central	JJ
20165	1886	25	one	one	NN
20165	1886	26	_	_	NNP
20165	1886	27	c	c	NNP
20165	1886	28	_	_	NNP
20165	1886	29	will	will	MD
20165	1886	30	be	be	VB
20165	1886	31	rather	rather	RB
20165	1886	32	the	the	DT
20165	1886	33	largest	large	JJS
20165	1886	34	,	,	,
20165	1886	35	as	as	IN
20165	1886	36	may	may	MD
20165	1886	37	be	be	VB
20165	1886	38	seen	see	VBN
20165	1886	39	by	by	IN
20165	1886	40	this	this	DT
20165	1886	41	figure	figure	NN
20165	1886	42	.	.	.
20165	1887	1	We	-PRON-	PRP
20165	1887	2	must	must	MD
20165	1887	3	remember	remember	VB
20165	1887	4	that	that	IN
20165	1887	5	,	,	,
20165	1887	6	in	in	IN
20165	1887	7	the	the	DT
20165	1887	8	first	first	JJ
20165	1887	9	case	case	NN
20165	1887	10	,	,	,
20165	1887	11	when	when	WRB
20165	1887	12	we	-PRON-	PRP
20165	1887	13	are	be	VBP
20165	1887	14	looking	look	VBG
20165	1887	15	at	at	IN
20165	1887	16	a	a	DT
20165	1887	17	globe	globe	NN
20165	1887	18	or	or	CC
20165	1887	19	a	a	DT
20165	1887	20	circle	circle	NN
20165	1887	21	,	,	,
20165	1887	22	the	the	DT
20165	1887	23	visual	visual	JJ
20165	1887	24	rays	ray	NNS
20165	1887	25	form	form	VBP
20165	1887	26	a	a	DT
20165	1887	27	cone	cone	NN
20165	1887	28	,	,	,
20165	1887	29	with	with	IN
20165	1887	30	a	a	DT
20165	1887	31	globe	globe	NN
20165	1887	32	at	at	IN
20165	1887	33	its	-PRON-	PRP$
20165	1887	34	base	base	NN
20165	1887	35	.	.	.
20165	1888	1	If	if	IN
20165	1888	2	these	these	DT
20165	1888	3	three	three	CD
20165	1888	4	cones	cone	NNS
20165	1888	5	are	be	VBP
20165	1888	6	intersected	intersect	VBN
20165	1888	7	by	by	IN
20165	1888	8	a	a	DT
20165	1888	9	straight	straight	JJ
20165	1888	10	glass	glass	NN
20165	1888	11	_	_	NNP
20165	1888	12	GG	GG	NNP
20165	1888	13	_	_	NNP
20165	1888	14	,	,	,
20165	1888	15	and	and	CC
20165	1888	16	looked	look	VBD
20165	1888	17	at	at	IN
20165	1888	18	from	from	IN
20165	1888	19	point	point	NN
20165	1888	20	_	_	NNP
20165	1888	21	S	S	NNP
20165	1888	22	_	_	NNP
20165	1888	23	,	,	,
20165	1888	24	the	the	DT
20165	1888	25	intersection	intersection	NN
20165	1888	26	of	of	IN
20165	1888	27	_	_	NNP
20165	1888	28	C	C	NNP
20165	1888	29	_	_	NNP
20165	1888	30	will	will	MD
20165	1888	31	be	be	VB
20165	1888	32	a	a	DT
20165	1888	33	circle	circle	NN
20165	1888	34	,	,	,
20165	1888	35	as	as	IN
20165	1888	36	the	the	DT
20165	1888	37	cone	cone	NN
20165	1888	38	is	be	VBZ
20165	1888	39	cut	cut	VBN
20165	1888	40	straight	straight	RB
20165	1888	41	across	across	RB
20165	1888	42	.	.	.
20165	1889	1	The	the	DT
20165	1889	2	other	other	JJ
20165	1889	3	two	two	CD
20165	1889	4	being	be	VBG
20165	1889	5	intersected	intersect	VBN
20165	1889	6	at	at	IN
20165	1889	7	an	an	DT
20165	1889	8	angle	angle	NN
20165	1889	9	,	,	,
20165	1889	10	will	will	MD
20165	1889	11	each	each	DT
20165	1889	12	be	be	VB
20165	1889	13	an	an	DT
20165	1889	14	ellipse	ellipse	NN
20165	1889	15	.	.	.
20165	1890	1	At	at	IN
20165	1890	2	the	the	DT
20165	1890	3	same	same	JJ
20165	1890	4	time	time	NN
20165	1890	5	,	,	,
20165	1890	6	if	if	IN
20165	1890	7	we	-PRON-	PRP
20165	1890	8	look	look	VBP
20165	1890	9	at	at	IN
20165	1890	10	them	-PRON-	PRP
20165	1890	11	from	from	IN
20165	1890	12	the	the	DT
20165	1890	13	station	station	NN
20165	1890	14	point	point	NN
20165	1890	15	,	,	,
20165	1890	16	with	with	IN
20165	1890	17	one	one	CD
20165	1890	18	eye	eye	NN
20165	1890	19	only	only	RB
20165	1890	20	,	,	,
20165	1890	21	then	then	RB
20165	1890	22	the	the	DT
20165	1890	23	three	three	CD
20165	1890	24	globes	globe	NNS
20165	1890	25	(	(	-LRB-
20165	1890	26	or	or	CC
20165	1890	27	tracings	tracing	NNS
20165	1890	28	of	of	IN
20165	1890	29	them	-PRON-	PRP
20165	1890	30	)	)	-RRB-
20165	1890	31	will	will	MD
20165	1890	32	appear	appear	VB
20165	1890	33	equal	equal	JJ
20165	1890	34	and	and	CC
20165	1890	35	perfectly	perfectly	RB
20165	1890	36	round	round	JJ
20165	1890	37	.	.	.
20165	1891	1	Of	of	RB
20165	1891	2	course	course	RB
20165	1891	3	the	the	DT
20165	1891	4	cylindrical	cylindrical	JJ
20165	1891	5	canvas	canvas	NN
20165	1891	6	is	be	VBZ
20165	1891	7	necessary	necessary	JJ
20165	1891	8	for	for	IN
20165	1891	9	panoramas	panorama	NNS
20165	1891	10	;	;	:
20165	1891	11	but	but	CC
20165	1891	12	we	-PRON-	PRP
20165	1891	13	have	have	VBP
20165	1891	14	,	,	,
20165	1891	15	as	as	IN
20165	1891	16	a	a	DT
20165	1891	17	rule	rule	NN
20165	1891	18	,	,	,
20165	1891	19	to	to	TO
20165	1891	20	paint	paint	VB
20165	1891	21	our	-PRON-	PRP$
20165	1891	22	pictures	picture	NNS
20165	1891	23	and	and	CC
20165	1891	24	wall	wall	NN
20165	1891	25	-	-	HYPH
20165	1891	26	decorations	decoration	NNS
20165	1891	27	on	on	IN
20165	1891	28	flat	flat	JJ
20165	1891	29	surfaces	surface	NNS
20165	1891	30	,	,	,
20165	1891	31	and	and	CC
20165	1891	32	therefore	therefore	RB
20165	1891	33	must	must	MD
20165	1891	34	adapt	adapt	VB
20165	1891	35	our	-PRON-	PRP$
20165	1891	36	work	work	NN
20165	1891	37	to	to	IN
20165	1891	38	these	these	DT
20165	1891	39	conditions	condition	NNS
20165	1891	40	.	.	.
20165	1892	1	In	in	IN
20165	1892	2	all	all	DT
20165	1892	3	cases	case	NNS
20165	1892	4	the	the	DT
20165	1892	5	artist	artist	NN
20165	1892	6	must	must	MD
20165	1892	7	exercise	exercise	VB
20165	1892	8	his	-PRON-	PRP$
20165	1892	9	own	own	JJ
20165	1892	10	judgement	judgement	NN
20165	1892	11	both	both	CC
20165	1892	12	in	in	IN
20165	1892	13	the	the	DT
20165	1892	14	arrangement	arrangement	NN
20165	1892	15	of	of	IN
20165	1892	16	his	-PRON-	PRP$
20165	1892	17	design	design	NN
20165	1892	18	and	and	CC
20165	1892	19	the	the	DT
20165	1892	20	execution	execution	NN
20165	1892	21	of	of	IN
20165	1892	22	the	the	DT
20165	1892	23	work	work	NN
20165	1892	24	,	,	,
20165	1892	25	for	for	IN
20165	1892	26	there	there	EX
20165	1892	27	is	be	VBZ
20165	1892	28	perspective	perspective	NN
20165	1892	29	even	even	RB
20165	1892	30	in	in	IN
20165	1892	31	the	the	DT
20165	1892	32	touch	touch	NN
20165	1892	33	--	--	:
20165	1892	34	a	a	DT
20165	1892	35	painting	painting	NN
20165	1892	36	to	to	TO
20165	1892	37	be	be	VB
20165	1892	38	looked	look	VBN
20165	1892	39	at	at	IN
20165	1892	40	from	from	IN
20165	1892	41	a	a	DT
20165	1892	42	distance	distance	NN
20165	1892	43	requires	require	VBZ
20165	1892	44	a	a	DT
20165	1892	45	bold	bold	JJ
20165	1892	46	and	and	CC
20165	1892	47	broad	broad	JJ
20165	1892	48	handling	handling	NN
20165	1892	49	;	;	:
20165	1892	50	in	in	IN
20165	1892	51	small	small	JJ
20165	1892	52	cabinet	cabinet	NN
20165	1892	53	pictures	picture	NNS
20165	1892	54	that	that	WDT
20165	1892	55	we	-PRON-	PRP
20165	1892	56	live	live	VBP
20165	1892	57	with	with	IN
20165	1892	58	in	in	IN
20165	1892	59	our	-PRON-	PRP$
20165	1892	60	own	own	JJ
20165	1892	61	rooms	room	NNS
20165	1892	62	we	-PRON-	PRP
20165	1892	63	look	look	VBP
20165	1892	64	for	for	IN
20165	1892	65	the	the	DT
20165	1892	66	exquisite	exquisite	JJ
20165	1892	67	workmanship	workmanship	NN
20165	1892	68	of	of	IN
20165	1892	69	the	the	DT
20165	1892	70	best	good	JJS
20165	1892	71	masters	master	NNS
20165	1892	72	.	.	.
20165	1893	1	BOOK	BOOK	NNP
20165	1893	2	FOURTH	fourth	VBP
20165	1893	3	CXLVII	cxlvii	NN
20165	1893	4	THE	the	DT
20165	1893	5	PERSPECTIVE	perspective	NN
20165	1893	6	OF	of	IN
20165	1893	7	CAST	cast	NN
20165	1893	8	SHADOWS	SHADOWS	NNP
20165	1893	9	There	there	EX
20165	1893	10	is	be	VBZ
20165	1893	11	a	a	DT
20165	1893	12	pretty	pretty	JJ
20165	1893	13	story	story	NN
20165	1893	14	of	of	IN
20165	1893	15	two	two	CD
20165	1893	16	lovers	lover	NNS
20165	1893	17	which	which	WDT
20165	1893	18	is	be	VBZ
20165	1893	19	sometimes	sometimes	RB
20165	1893	20	told	tell	VBN
20165	1893	21	as	as	IN
20165	1893	22	the	the	DT
20165	1893	23	origin	origin	NN
20165	1893	24	of	of	IN
20165	1893	25	art	art	NN
20165	1893	26	;	;	:
20165	1893	27	at	at	IN
20165	1893	28	all	all	DT
20165	1893	29	events	event	NNS
20165	1893	30	,	,	,
20165	1893	31	I	-PRON-	PRP
20165	1893	32	may	may	MD
20165	1893	33	tell	tell	VB
20165	1893	34	it	-PRON-	PRP
20165	1893	35	here	here	RB
20165	1893	36	as	as	IN
20165	1893	37	the	the	DT
20165	1893	38	origin	origin	NN
20165	1893	39	of	of	IN
20165	1893	40	sciagraphy	sciagraphy	NN
20165	1893	41	.	.	.
20165	1894	1	A	a	DT
20165	1894	2	young	young	JJ
20165	1894	3	shepherd	shepherd	NN
20165	1894	4	was	be	VBD
20165	1894	5	in	in	IN
20165	1894	6	love	love	NN
20165	1894	7	with	with	IN
20165	1894	8	the	the	DT
20165	1894	9	daughter	daughter	NN
20165	1894	10	of	of	IN
20165	1894	11	a	a	DT
20165	1894	12	potter	potter	NN
20165	1894	13	,	,	,
20165	1894	14	but	but	CC
20165	1894	15	it	-PRON-	PRP
20165	1894	16	so	so	RB
20165	1894	17	happened	happen	VBD
20165	1894	18	that	that	IN
20165	1894	19	they	-PRON-	PRP
20165	1894	20	had	have	VBD
20165	1894	21	to	to	TO
20165	1894	22	part	part	VB
20165	1894	23	,	,	,
20165	1894	24	and	and	CC
20165	1894	25	were	be	VBD
20165	1894	26	passing	pass	VBG
20165	1894	27	their	-PRON-	PRP$
20165	1894	28	last	last	JJ
20165	1894	29	evening	evening	NN
20165	1894	30	together	together	RB
20165	1894	31	,	,	,
20165	1894	32	when	when	WRB
20165	1894	33	the	the	DT
20165	1894	34	girl	girl	NN
20165	1894	35	,	,	,
20165	1894	36	seeing	see	VBG
20165	1894	37	the	the	DT
20165	1894	38	shadow	shadow	NN
20165	1894	39	of	of	IN
20165	1894	40	her	-PRON-	PRP$
20165	1894	41	lover	lover	NN
20165	1894	42	's	's	POS
20165	1894	43	profile	profile	NN
20165	1894	44	cast	cast	VBD
20165	1894	45	from	from	IN
20165	1894	46	a	a	DT
20165	1894	47	lamp	lamp	NN
20165	1894	48	on	on	IN
20165	1894	49	to	to	IN
20165	1894	50	some	some	DT
20165	1894	51	wet	wet	JJ
20165	1894	52	plaster	plaster	NN
20165	1894	53	or	or	CC
20165	1894	54	on	on	IN
20165	1894	55	the	the	DT
20165	1894	56	wall	wall	NN
20165	1894	57	,	,	,
20165	1894	58	took	take	VBD
20165	1894	59	a	a	DT
20165	1894	60	metal	metal	NN
20165	1894	61	point	point	NN
20165	1894	62	,	,	,
20165	1894	63	perhaps	perhaps	RB
20165	1894	64	some	some	DT
20165	1894	65	sort	sort	NN
20165	1894	66	of	of	IN
20165	1894	67	iron	iron	NN
20165	1894	68	needle	needle	NN
20165	1894	69	,	,	,
20165	1894	70	and	and	CC
20165	1894	71	traced	trace	VBD
20165	1894	72	the	the	DT
20165	1894	73	outline	outline	NN
20165	1894	74	of	of	IN
20165	1894	75	the	the	DT
20165	1894	76	face	face	NN
20165	1894	77	she	-PRON-	PRP
20165	1894	78	loved	love	VBD
20165	1894	79	on	on	IN
20165	1894	80	to	to	IN
20165	1894	81	the	the	DT
20165	1894	82	plaster	plaster	NN
20165	1894	83	,	,	,
20165	1894	84	following	follow	VBG
20165	1894	85	carefully	carefully	RB
20165	1894	86	the	the	DT
20165	1894	87	outline	outline	NN
20165	1894	88	of	of	IN
20165	1894	89	the	the	DT
20165	1894	90	features	feature	NNS
20165	1894	91	,	,	,
20165	1894	92	being	be	VBG
20165	1894	93	naturally	naturally	RB
20165	1894	94	anxious	anxious	JJ
20165	1894	95	to	to	TO
20165	1894	96	make	make	VB
20165	1894	97	it	-PRON-	PRP
20165	1894	98	as	as	RB
20165	1894	99	like	like	UH
20165	1894	100	as	as	IN
20165	1894	101	possible	possible	JJ
20165	1894	102	.	.	.
20165	1895	1	The	the	DT
20165	1895	2	old	old	JJ
20165	1895	3	potter	potter	NN
20165	1895	4	,	,	,
20165	1895	5	the	the	DT
20165	1895	6	father	father	NN
20165	1895	7	of	of	IN
20165	1895	8	the	the	DT
20165	1895	9	girl	girl	NN
20165	1895	10	,	,	,
20165	1895	11	was	be	VBD
20165	1895	12	so	so	RB
20165	1895	13	struck	strike	VBN
20165	1895	14	with	with	IN
20165	1895	15	it	-PRON-	PRP
20165	1895	16	that	that	IN
20165	1895	17	he	-PRON-	PRP
20165	1895	18	began	begin	VBD
20165	1895	19	to	to	TO
20165	1895	20	ornament	ornament	VB
20165	1895	21	his	-PRON-	PRP$
20165	1895	22	wares	ware	NNS
20165	1895	23	by	by	IN
20165	1895	24	similar	similar	JJ
20165	1895	25	devices	device	NNS
20165	1895	26	,	,	,
20165	1895	27	which	which	WDT
20165	1895	28	gave	give	VBD
20165	1895	29	them	-PRON-	PRP
20165	1895	30	increased	increase	VBN
20165	1895	31	value	value	NN
20165	1895	32	by	by	IN
20165	1895	33	the	the	DT
20165	1895	34	novelty	novelty	NN
20165	1895	35	and	and	CC
20165	1895	36	beauty	beauty	NN
20165	1895	37	thus	thus	RB
20165	1895	38	imparted	impart	VBD
20165	1895	39	to	to	IN
20165	1895	40	them	-PRON-	PRP
20165	1895	41	.	.	.
20165	1896	1	Here	here	RB
20165	1896	2	then	then	RB
20165	1896	3	we	-PRON-	PRP
20165	1896	4	have	have	VBP
20165	1896	5	a	a	DT
20165	1896	6	very	very	RB
20165	1896	7	good	good	JJ
20165	1896	8	illustration	illustration	NN
20165	1896	9	of	of	IN
20165	1896	10	our	-PRON-	PRP$
20165	1896	11	present	present	JJ
20165	1896	12	subject	subject	NN
20165	1896	13	and	and	CC
20165	1896	14	its	-PRON-	PRP$
20165	1896	15	three	three	CD
20165	1896	16	elements	element	NNS
20165	1896	17	.	.	.
20165	1897	1	First	first	RB
20165	1897	2	,	,	,
20165	1897	3	the	the	DT
20165	1897	4	light	light	NN
20165	1897	5	shining	shine	VBG
20165	1897	6	on	on	IN
20165	1897	7	the	the	DT
20165	1897	8	wall	wall	NN
20165	1897	9	;	;	:
20165	1897	10	second	second	LS
20165	1897	11	,	,	,
20165	1897	12	the	the	DT
20165	1897	13	wall	wall	NN
20165	1897	14	or	or	CC
20165	1897	15	the	the	DT
20165	1897	16	plane	plane	NN
20165	1897	17	of	of	IN
20165	1897	18	projection	projection	NN
20165	1897	19	,	,	,
20165	1897	20	or	or	CC
20165	1897	21	plane	plane	NN
20165	1897	22	of	of	IN
20165	1897	23	shade	shade	NN
20165	1897	24	;	;	:
20165	1897	25	and	and	CC
20165	1897	26	third	third	RB
20165	1897	27	,	,	,
20165	1897	28	the	the	DT
20165	1897	29	intervening	intervene	VBG
20165	1897	30	object	object	NN
20165	1897	31	,	,	,
20165	1897	32	which	which	WDT
20165	1897	33	receives	receive	VBZ
20165	1897	34	as	as	RB
20165	1897	35	much	much	JJ
20165	1897	36	light	light	NN
20165	1897	37	on	on	IN
20165	1897	38	itself	-PRON-	PRP
20165	1897	39	as	as	IN
20165	1897	40	it	-PRON-	PRP
20165	1897	41	deprives	deprive	VBZ
20165	1897	42	the	the	DT
20165	1897	43	wall	wall	NN
20165	1897	44	of	of	IN
20165	1897	45	.	.	.
20165	1898	1	So	so	RB
20165	1898	2	that	that	IN
20165	1898	3	the	the	DT
20165	1898	4	dark	dark	JJ
20165	1898	5	portion	portion	NN
20165	1898	6	thus	thus	RB
20165	1898	7	caused	cause	VBN
20165	1898	8	on	on	IN
20165	1898	9	the	the	DT
20165	1898	10	plane	plane	NN
20165	1898	11	of	of	IN
20165	1898	12	shade	shade	NN
20165	1898	13	is	be	VBZ
20165	1898	14	the	the	DT
20165	1898	15	cast	cast	JJ
20165	1898	16	shadow	shadow	NN
20165	1898	17	of	of	IN
20165	1898	18	the	the	DT
20165	1898	19	intervening	intervening	NN
20165	1898	20	object	object	NN
20165	1898	21	.	.	.
20165	1899	1	We	-PRON-	PRP
20165	1899	2	have	have	VBP
20165	1899	3	to	to	TO
20165	1899	4	consider	consider	VB
20165	1899	5	two	two	CD
20165	1899	6	sorts	sort	NNS
20165	1899	7	of	of	IN
20165	1899	8	shadows	shadow	NNS
20165	1899	9	:	:	:
20165	1899	10	those	those	DT
20165	1899	11	cast	cast	VBN
20165	1899	12	by	by	IN
20165	1899	13	a	a	DT
20165	1899	14	luminary	luminary	NN
20165	1899	15	a	a	DT
20165	1899	16	long	long	JJ
20165	1899	17	way	way	NN
20165	1899	18	off	off	RB
20165	1899	19	,	,	,
20165	1899	20	such	such	JJ
20165	1899	21	as	as	IN
20165	1899	22	the	the	DT
20165	1899	23	sun	sun	NN
20165	1899	24	;	;	:
20165	1899	25	and	and	CC
20165	1899	26	those	those	DT
20165	1899	27	cast	cast	VBN
20165	1899	28	by	by	IN
20165	1899	29	artificial	artificial	JJ
20165	1899	30	light	light	NN
20165	1899	31	,	,	,
20165	1899	32	such	such	JJ
20165	1899	33	as	as	IN
20165	1899	34	a	a	DT
20165	1899	35	lamp	lamp	NN
20165	1899	36	or	or	CC
20165	1899	37	candle	candle	NN
20165	1899	38	,	,	,
20165	1899	39	which	which	WDT
20165	1899	40	is	be	VBZ
20165	1899	41	more	more	RBR
20165	1899	42	or	or	CC
20165	1899	43	less	less	RBR
20165	1899	44	close	close	JJ
20165	1899	45	to	to	IN
20165	1899	46	the	the	DT
20165	1899	47	object	object	NN
20165	1899	48	.	.	.
20165	1900	1	In	in	IN
20165	1900	2	the	the	DT
20165	1900	3	first	first	JJ
20165	1900	4	case	case	NN
20165	1900	5	there	there	EX
20165	1900	6	is	be	VBZ
20165	1900	7	no	no	DT
20165	1900	8	perceptible	perceptible	JJ
20165	1900	9	divergence	divergence	NN
20165	1900	10	of	of	IN
20165	1900	11	rays	ray	NNS
20165	1900	12	,	,	,
20165	1900	13	and	and	CC
20165	1900	14	the	the	DT
20165	1900	15	outlines	outline	NNS
20165	1900	16	of	of	IN
20165	1900	17	the	the	DT
20165	1900	18	sides	side	NNS
20165	1900	19	of	of	IN
20165	1900	20	the	the	DT
20165	1900	21	shadows	shadow	NNS
20165	1900	22	of	of	IN
20165	1900	23	regular	regular	JJ
20165	1900	24	objects	object	NNS
20165	1900	25	,	,	,
20165	1900	26	as	as	IN
20165	1900	27	cubes	cube	NNS
20165	1900	28	,	,	,
20165	1900	29	posts	post	NNS
20165	1900	30	,	,	,
20165	1900	31	&	&	CC
20165	1900	32	c.	c.	NNP
20165	1900	33	,	,	,
20165	1900	34	will	will	MD
20165	1900	35	be	be	VB
20165	1900	36	parallel	parallel	JJ
20165	1900	37	.	.	.
20165	1901	1	In	in	IN
20165	1901	2	the	the	DT
20165	1901	3	second	second	JJ
20165	1901	4	case	case	NN
20165	1901	5	,	,	,
20165	1901	6	the	the	DT
20165	1901	7	rays	ray	NNS
20165	1901	8	diverge	diverge	VBP
20165	1901	9	according	accord	VBG
20165	1901	10	to	to	IN
20165	1901	11	the	the	DT
20165	1901	12	nearness	nearness	NN
20165	1901	13	of	of	IN
20165	1901	14	the	the	DT
20165	1901	15	light	light	NN
20165	1901	16	,	,	,
20165	1901	17	and	and	CC
20165	1901	18	consequently	consequently	RB
20165	1901	19	the	the	DT
20165	1901	20	lines	line	NNS
20165	1901	21	of	of	IN
20165	1901	22	the	the	DT
20165	1901	23	shadows	shadow	NNS
20165	1901	24	,	,	,
20165	1901	25	instead	instead	RB
20165	1901	26	of	of	IN
20165	1901	27	being	be	VBG
20165	1901	28	parallel	parallel	JJ
20165	1901	29	,	,	,
20165	1901	30	are	be	VBP
20165	1901	31	spread	spread	VBN
20165	1901	32	out	out	RP
20165	1901	33	.	.	.
20165	1902	1	CXLVIII	CXLVIII	NNP
20165	1902	2	THE	the	DT
20165	1902	3	TWO	two	CD
20165	1902	4	KINDS	kind	NNS
20165	1902	5	OF	of	IN
20165	1902	6	SHADOWS	SHADOWS	NNP
20165	1902	7	In	in	IN
20165	1902	8	Figs	Figs	NNP
20165	1902	9	.	.	.
20165	1903	1	261	261	CD
20165	1903	2	and	and	CC
20165	1903	3	262	262	CD
20165	1903	4	is	be	VBZ
20165	1903	5	seen	see	VBN
20165	1903	6	the	the	DT
20165	1903	7	shadow	shadow	NN
20165	1903	8	cast	cast	VBN
20165	1903	9	by	by	IN
20165	1903	10	the	the	DT
20165	1903	11	sun	sun	NN
20165	1903	12	by	by	IN
20165	1903	13	parallel	parallel	JJ
20165	1903	14	rays	ray	NNS
20165	1903	15	.	.	.
20165	1904	1	Fig	fig	NN
20165	1904	2	.	.	.
20165	1905	1	263	263	CD
20165	1905	2	shows	show	VBZ
20165	1905	3	the	the	DT
20165	1905	4	shadows	shadow	NNS
20165	1905	5	cast	cast	VBN
20165	1905	6	by	by	IN
20165	1905	7	a	a	DT
20165	1905	8	candle	candle	NN
20165	1905	9	or	or	CC
20165	1905	10	lamp	lamp	NN
20165	1905	11	,	,	,
20165	1905	12	where	where	WRB
20165	1905	13	the	the	DT
20165	1905	14	rays	ray	NNS
20165	1905	15	diverge	diverge	VBP
20165	1905	16	from	from	IN
20165	1905	17	the	the	DT
20165	1905	18	point	point	NN
20165	1905	19	of	of	IN
20165	1905	20	light	light	NN
20165	1905	21	to	to	TO
20165	1905	22	meet	meet	VB
20165	1905	23	corresponding	corresponding	JJ
20165	1905	24	diverging	diverging	NN
20165	1905	25	lines	line	NNS
20165	1905	26	which	which	WDT
20165	1905	27	start	start	VBP
20165	1905	28	from	from	IN
20165	1905	29	the	the	DT
20165	1905	30	foot	foot	NN
20165	1905	31	of	of	IN
20165	1905	32	the	the	DT
20165	1905	33	luminary	luminary	NN
20165	1905	34	on	on	IN
20165	1905	35	the	the	DT
20165	1905	36	ground	ground	NN
20165	1905	37	.	.	.
20165	1906	1	[	[	-LRB-
20165	1906	2	Illustration	illustration	NN
20165	1906	3	:	:	:
20165	1906	4	Fig	Fig	NNP
20165	1906	5	.	.	.
20165	1907	1	261	261	CD
20165	1907	2	.	.	.
20165	1907	3	]	]	-RRB-
20165	1908	1	[	[	-LRB-
20165	1908	2	Illustration	illustration	NN
20165	1908	3	:	:	:
20165	1908	4	Fig	Fig	NNP
20165	1908	5	.	.	.
20165	1909	1	262	262	CD
20165	1909	2	.	.	.
20165	1909	3	]	]	-RRB-
20165	1910	1	The	the	DT
20165	1910	2	simple	simple	JJ
20165	1910	3	principle	principle	NN
20165	1910	4	of	of	IN
20165	1910	5	cast	cast	NN
20165	1910	6	shadows	shadow	NNS
20165	1910	7	is	be	VBZ
20165	1910	8	that	that	IN
20165	1910	9	the	the	DT
20165	1910	10	rays	ray	NNS
20165	1910	11	coming	come	VBG
20165	1910	12	from	from	IN
20165	1910	13	the	the	DT
20165	1910	14	point	point	NN
20165	1910	15	of	of	IN
20165	1910	16	light	light	JJ
20165	1910	17	or	or	CC
20165	1910	18	luminary	luminary	JJ
20165	1910	19	pass	pass	NN
20165	1910	20	over	over	IN
20165	1910	21	the	the	DT
20165	1910	22	top	top	NN
20165	1910	23	of	of	IN
20165	1910	24	the	the	DT
20165	1910	25	intervening	intervene	VBG
20165	1910	26	object	object	NN
20165	1910	27	which	which	WDT
20165	1910	28	casts	cast	VBZ
20165	1910	29	the	the	DT
20165	1910	30	shadow	shadow	NN
20165	1910	31	on	on	IN
20165	1910	32	to	to	IN
20165	1910	33	the	the	DT
20165	1910	34	plane	plane	NN
20165	1910	35	of	of	IN
20165	1910	36	shade	shade	NN
20165	1910	37	to	to	TO
20165	1910	38	meet	meet	VB
20165	1910	39	the	the	DT
20165	1910	40	horizontal	horizontal	JJ
20165	1910	41	trace	trace	NN
20165	1910	42	of	of	IN
20165	1910	43	those	those	DT
20165	1910	44	rays	ray	NNS
20165	1910	45	on	on	IN
20165	1910	46	that	that	DT
20165	1910	47	plane	plane	NN
20165	1910	48	,	,	,
20165	1910	49	or	or	CC
20165	1910	50	the	the	DT
20165	1910	51	lines	line	NNS
20165	1910	52	of	of	IN
20165	1910	53	light	light	JJ
20165	1910	54	proceed	proceed	NN
20165	1910	55	from	from	IN
20165	1910	56	the	the	DT
20165	1910	57	point	point	NN
20165	1910	58	of	of	IN
20165	1910	59	light	light	NN
20165	1910	60	,	,	,
20165	1910	61	and	and	CC
20165	1910	62	the	the	DT
20165	1910	63	lines	line	NNS
20165	1910	64	of	of	IN
20165	1910	65	the	the	DT
20165	1910	66	shadow	shadow	NN
20165	1910	67	are	be	VBP
20165	1910	68	drawn	draw	VBN
20165	1910	69	from	from	IN
20165	1910	70	the	the	DT
20165	1910	71	foot	foot	NN
20165	1910	72	or	or	CC
20165	1910	73	trace	trace	NN
20165	1910	74	of	of	IN
20165	1910	75	the	the	DT
20165	1910	76	point	point	NN
20165	1910	77	of	of	IN
20165	1910	78	light	light	NN
20165	1910	79	.	.	.
20165	1911	1	[	[	-LRB-
20165	1911	2	Illustration	illustration	NN
20165	1911	3	:	:	:
20165	1911	4	Fig	Fig	NNP
20165	1911	5	.	.	.
20165	1912	1	263	263	CD
20165	1912	2	.	.	.
20165	1912	3	]	]	-RRB-
20165	1913	1	[	[	-LRB-
20165	1913	2	Illustration	illustration	NN
20165	1913	3	:	:	:
20165	1913	4	Fig	Fig	NNP
20165	1913	5	.	.	.
20165	1914	1	264	264	CD
20165	1914	2	.	.	.
20165	1914	3	]	]	-RRB-
20165	1915	1	Fig	fig	NN
20165	1915	2	.	.	.
20165	1916	1	264	264	CD
20165	1916	2	shows	show	VBZ
20165	1916	3	this	this	DT
20165	1916	4	in	in	IN
20165	1916	5	profile	profile	NN
20165	1916	6	.	.	.
20165	1917	1	Here	here	RB
20165	1917	2	the	the	DT
20165	1917	3	sun	sun	NN
20165	1917	4	is	be	VBZ
20165	1917	5	on	on	IN
20165	1917	6	the	the	DT
20165	1917	7	same	same	JJ
20165	1917	8	plane	plane	NN
20165	1917	9	as	as	IN
20165	1917	10	the	the	DT
20165	1917	11	picture	picture	NN
20165	1917	12	,	,	,
20165	1917	13	and	and	CC
20165	1917	14	the	the	DT
20165	1917	15	shadow	shadow	NN
20165	1917	16	is	be	VBZ
20165	1917	17	cast	cast	VBN
20165	1917	18	sideways	sideways	RB
20165	1917	19	.	.	.
20165	1918	1	Fig	fig	NN
20165	1918	2	.	.	.
20165	1919	1	265	265	CD
20165	1919	2	shows	show	VBZ
20165	1919	3	the	the	DT
20165	1919	4	same	same	JJ
20165	1919	5	thing	thing	NN
20165	1919	6	,	,	,
20165	1919	7	but	but	CC
20165	1919	8	the	the	DT
20165	1919	9	sun	sun	NN
20165	1919	10	being	be	VBG
20165	1919	11	behind	behind	IN
20165	1919	12	the	the	DT
20165	1919	13	object	object	NN
20165	1919	14	,	,	,
20165	1919	15	casts	cast	VBZ
20165	1919	16	its	-PRON-	PRP$
20165	1919	17	shadow	shadow	NN
20165	1919	18	forwards	forwards	RB
20165	1919	19	.	.	.
20165	1920	1	Although	although	IN
20165	1920	2	the	the	DT
20165	1920	3	lines	line	NNS
20165	1920	4	of	of	IN
20165	1920	5	light	light	NN
20165	1920	6	are	be	VBP
20165	1920	7	parallel	parallel	JJ
20165	1920	8	,	,	,
20165	1920	9	they	-PRON-	PRP
20165	1920	10	are	be	VBP
20165	1920	11	subject	subject	JJ
20165	1920	12	to	to	IN
20165	1920	13	the	the	DT
20165	1920	14	laws	law	NNS
20165	1920	15	of	of	IN
20165	1920	16	perspective	perspective	NN
20165	1920	17	,	,	,
20165	1920	18	and	and	CC
20165	1920	19	are	be	VBP
20165	1920	20	therefore	therefore	RB
20165	1920	21	drawn	draw	VBN
20165	1920	22	from	from	IN
20165	1920	23	their	-PRON-	PRP$
20165	1920	24	respective	respective	JJ
20165	1920	25	vanishing	vanish	VBG
20165	1920	26	points	point	NNS
20165	1920	27	.	.	.
20165	1921	1	[	[	-LRB-
20165	1921	2	Illustration	illustration	NN
20165	1921	3	:	:	:
20165	1921	4	Fig	Fig	NNP
20165	1921	5	.	.	.
20165	1922	1	265	265	CD
20165	1922	2	.	.	.
20165	1922	3	]	]	-RRB-
20165	1923	1	CXLIX	CXLIX	NNP
20165	1923	2	SHADOWS	shadows	JJ
20165	1923	3	CAST	cast	NN
20165	1923	4	BY	by	IN
20165	1923	5	THE	the	DT
20165	1923	6	SUN	SUN	NNP
20165	1923	7	Owing	owe	VBG
20165	1923	8	to	to	IN
20165	1923	9	the	the	DT
20165	1923	10	great	great	JJ
20165	1923	11	distance	distance	NN
20165	1923	12	of	of	IN
20165	1923	13	the	the	DT
20165	1923	14	sun	sun	NN
20165	1923	15	,	,	,
20165	1923	16	we	-PRON-	PRP
20165	1923	17	have	have	VBP
20165	1923	18	to	to	TO
20165	1923	19	consider	consider	VB
20165	1923	20	the	the	DT
20165	1923	21	rays	ray	NNS
20165	1923	22	of	of	IN
20165	1923	23	light	light	NN
20165	1923	24	proceeding	proceed	VBG
20165	1923	25	from	from	IN
20165	1923	26	it	-PRON-	PRP
20165	1923	27	as	as	IN
20165	1923	28	parallel	parallel	JJ
20165	1923	29	,	,	,
20165	1923	30	and	and	CC
20165	1923	31	therefore	therefore	RB
20165	1923	32	subject	subject	JJ
20165	1923	33	to	to	IN
20165	1923	34	the	the	DT
20165	1923	35	same	same	JJ
20165	1923	36	laws	law	NNS
20165	1923	37	as	as	IN
20165	1923	38	other	other	JJ
20165	1923	39	parallel	parallel	JJ
20165	1923	40	lines	line	NNS
20165	1923	41	in	in	IN
20165	1923	42	perspective	perspective	NN
20165	1923	43	,	,	,
20165	1923	44	as	as	IN
20165	1923	45	already	already	RB
20165	1923	46	noted	note	VBN
20165	1923	47	.	.	.
20165	1924	1	And	and	CC
20165	1924	2	for	for	IN
20165	1924	3	the	the	DT
20165	1924	4	same	same	JJ
20165	1924	5	reason	reason	NN
20165	1924	6	we	-PRON-	PRP
20165	1924	7	have	have	VBP
20165	1924	8	to	to	TO
20165	1924	9	place	place	VB
20165	1924	10	the	the	DT
20165	1924	11	foot	foot	NN
20165	1924	12	of	of	IN
20165	1924	13	the	the	DT
20165	1924	14	luminary	luminary	NN
20165	1924	15	on	on	IN
20165	1924	16	the	the	DT
20165	1924	17	horizon	horizon	NN
20165	1924	18	.	.	.
20165	1925	1	It	-PRON-	PRP
20165	1925	2	is	be	VBZ
20165	1925	3	important	important	JJ
20165	1925	4	to	to	TO
20165	1925	5	remember	remember	VB
20165	1925	6	this	this	DT
20165	1925	7	,	,	,
20165	1925	8	as	as	IN
20165	1925	9	these	these	DT
20165	1925	10	two	two	CD
20165	1925	11	things	thing	NNS
20165	1925	12	make	make	VBP
20165	1925	13	the	the	DT
20165	1925	14	difference	difference	NN
20165	1925	15	between	between	IN
20165	1925	16	shadows	shadow	NNS
20165	1925	17	cast	cast	VBN
20165	1925	18	by	by	IN
20165	1925	19	the	the	DT
20165	1925	20	sun	sun	NN
20165	1925	21	and	and	CC
20165	1925	22	those	those	DT
20165	1925	23	cast	cast	VBN
20165	1925	24	by	by	IN
20165	1925	25	artificial	artificial	JJ
20165	1925	26	light	light	NN
20165	1925	27	.	.	.
20165	1926	1	The	the	DT
20165	1926	2	sun	sun	NN
20165	1926	3	has	have	VBZ
20165	1926	4	three	three	CD
20165	1926	5	principal	principal	JJ
20165	1926	6	positions	position	NNS
20165	1926	7	in	in	IN
20165	1926	8	relation	relation	NN
20165	1926	9	to	to	IN
20165	1926	10	the	the	DT
20165	1926	11	picture	picture	NN
20165	1926	12	.	.	.
20165	1927	1	In	in	IN
20165	1927	2	the	the	DT
20165	1927	3	first	first	JJ
20165	1927	4	case	case	NN
20165	1927	5	it	-PRON-	PRP
20165	1927	6	is	be	VBZ
20165	1927	7	supposed	suppose	VBN
20165	1927	8	to	to	TO
20165	1927	9	be	be	VB
20165	1927	10	in	in	IN
20165	1927	11	the	the	DT
20165	1927	12	same	same	JJ
20165	1927	13	plane	plane	NN
20165	1927	14	either	either	CC
20165	1927	15	to	to	IN
20165	1927	16	the	the	DT
20165	1927	17	right	right	NN
20165	1927	18	or	or	CC
20165	1927	19	to	to	IN
20165	1927	20	the	the	DT
20165	1927	21	left	left	NN
20165	1927	22	,	,	,
20165	1927	23	and	and	CC
20165	1927	24	in	in	IN
20165	1927	25	that	that	DT
20165	1927	26	case	case	NN
20165	1927	27	the	the	DT
20165	1927	28	shadows	shadow	NNS
20165	1927	29	will	will	MD
20165	1927	30	be	be	VB
20165	1927	31	parallel	parallel	JJ
20165	1927	32	with	with	IN
20165	1927	33	the	the	DT
20165	1927	34	base	base	NN
20165	1927	35	of	of	IN
20165	1927	36	the	the	DT
20165	1927	37	picture	picture	NN
20165	1927	38	.	.	.
20165	1928	1	In	in	IN
20165	1928	2	the	the	DT
20165	1928	3	second	second	JJ
20165	1928	4	position	position	NN
20165	1928	5	it	-PRON-	PRP
20165	1928	6	is	be	VBZ
20165	1928	7	on	on	IN
20165	1928	8	the	the	DT
20165	1928	9	other	other	JJ
20165	1928	10	side	side	NN
20165	1928	11	of	of	IN
20165	1928	12	it	-PRON-	PRP
20165	1928	13	,	,	,
20165	1928	14	or	or	CC
20165	1928	15	facing	face	VBG
20165	1928	16	the	the	DT
20165	1928	17	spectator	spectator	NN
20165	1928	18	,	,	,
20165	1928	19	when	when	WRB
20165	1928	20	the	the	DT
20165	1928	21	shadows	shadow	NNS
20165	1928	22	of	of	IN
20165	1928	23	objects	object	NNS
20165	1928	24	will	will	MD
20165	1928	25	be	be	VB
20165	1928	26	thrown	throw	VBN
20165	1928	27	forwards	forwards	RB
20165	1928	28	or	or	CC
20165	1928	29	towards	towards	IN
20165	1928	30	him	-PRON-	PRP
20165	1928	31	.	.	.
20165	1929	1	In	in	IN
20165	1929	2	the	the	DT
20165	1929	3	third	third	JJ
20165	1929	4	,	,	,
20165	1929	5	the	the	DT
20165	1929	6	sun	sun	NN
20165	1929	7	is	be	VBZ
20165	1929	8	in	in	IN
20165	1929	9	front	front	NN
20165	1929	10	of	of	IN
20165	1929	11	the	the	DT
20165	1929	12	picture	picture	NN
20165	1929	13	,	,	,
20165	1929	14	and	and	CC
20165	1929	15	behind	behind	IN
20165	1929	16	the	the	DT
20165	1929	17	spectator	spectator	NN
20165	1929	18	,	,	,
20165	1929	19	so	so	IN
20165	1929	20	that	that	IN
20165	1929	21	the	the	DT
20165	1929	22	shadows	shadow	NNS
20165	1929	23	are	be	VBP
20165	1929	24	thrown	throw	VBN
20165	1929	25	in	in	IN
20165	1929	26	the	the	DT
20165	1929	27	opposite	opposite	JJ
20165	1929	28	direction	direction	NN
20165	1929	29	,	,	,
20165	1929	30	or	or	CC
20165	1929	31	towards	towards	IN
20165	1929	32	the	the	DT
20165	1929	33	horizon	horizon	NN
20165	1929	34	,	,	,
20165	1929	35	the	the	DT
20165	1929	36	objects	object	NNS
20165	1929	37	themselves	-PRON-	PRP
20165	1929	38	being	be	VBG
20165	1929	39	in	in	IN
20165	1929	40	full	full	JJ
20165	1929	41	light	light	NN
20165	1929	42	.	.	.
20165	1930	1	CL	CL	NNP
20165	1930	2	THE	the	DT
20165	1930	3	SUN	sun	NN
20165	1930	4	IN	in	IN
20165	1930	5	THE	the	DT
20165	1930	6	SAME	SAME	NNP
20165	1930	7	PLANE	PLANE	NNP
20165	1930	8	AS	as	IN
20165	1930	9	THE	the	DT
20165	1930	10	PICTURE	picture	NN
20165	1930	11	Besides	besides	IN
20165	1930	12	being	be	VBG
20165	1930	13	in	in	IN
20165	1930	14	the	the	DT
20165	1930	15	same	same	JJ
20165	1930	16	plane	plane	NN
20165	1930	17	,	,	,
20165	1930	18	the	the	DT
20165	1930	19	sun	sun	NN
20165	1930	20	in	in	IN
20165	1930	21	this	this	DT
20165	1930	22	figure	figure	NN
20165	1930	23	is	be	VBZ
20165	1930	24	at	at	IN
20165	1930	25	an	an	DT
20165	1930	26	angle	angle	NN
20165	1930	27	of	of	IN
20165	1930	28	45	45	CD
20165	1930	29	°	°	NNS
20165	1930	30	to	to	IN
20165	1930	31	the	the	DT
20165	1930	32	horizon	horizon	NN
20165	1930	33	,	,	,
20165	1930	34	consequently	consequently	RB
20165	1930	35	the	the	DT
20165	1930	36	shadows	shadow	NNS
20165	1930	37	will	will	MD
20165	1930	38	be	be	VB
20165	1930	39	the	the	DT
20165	1930	40	same	same	JJ
20165	1930	41	length	length	NN
20165	1930	42	as	as	IN
20165	1930	43	the	the	DT
20165	1930	44	figures	figure	NNS
20165	1930	45	that	that	WDT
20165	1930	46	cast	cast	VBD
20165	1930	47	them	-PRON-	PRP
20165	1930	48	are	be	VBP
20165	1930	49	high	high	JJ
20165	1930	50	.	.	.
20165	1931	1	Note	note	VB
20165	1931	2	that	that	IN
20165	1931	3	the	the	DT
20165	1931	4	shadow	shadow	NN
20165	1931	5	of	of	IN
20165	1931	6	step	step	NN
20165	1931	7	No	no	NN
20165	1931	8	.	.	.
20165	1932	1	1	1	CD
20165	1932	2	is	be	VBZ
20165	1932	3	cast	cast	VBN
20165	1932	4	upon	upon	IN
20165	1932	5	step	step	NN
20165	1932	6	No	no	NN
20165	1932	7	.	.	.
20165	1933	1	2	2	CD
20165	1933	2	,	,	,
20165	1933	3	and	and	CC
20165	1933	4	that	that	DT
20165	1933	5	of	of	IN
20165	1933	6	No	no	UH
20165	1933	7	.	.	.
20165	1934	1	2	2	CD
20165	1934	2	on	on	IN
20165	1934	3	No	no	NN
20165	1934	4	.	.	.
20165	1935	1	3	3	LS
20165	1935	2	,	,	,
20165	1935	3	the	the	DT
20165	1935	4	top	top	NN
20165	1935	5	of	of	IN
20165	1935	6	each	each	DT
20165	1935	7	of	of	IN
20165	1935	8	these	these	DT
20165	1935	9	becoming	become	VBG
20165	1935	10	a	a	DT
20165	1935	11	plane	plane	NN
20165	1935	12	of	of	IN
20165	1935	13	shade	shade	NN
20165	1935	14	.	.	.
20165	1936	1	[	[	-LRB-
20165	1936	2	Illustration	illustration	NN
20165	1936	3	:	:	:
20165	1936	4	Fig	Fig	NNP
20165	1936	5	.	.	.
20165	1937	1	266	266	CD
20165	1937	2	.	.	.
20165	1937	3	]	]	-RRB-
20165	1938	1	[	[	-LRB-
20165	1938	2	Illustration	illustration	NN
20165	1938	3	:	:	:
20165	1938	4	Fig	Fig	NNP
20165	1938	5	.	.	.
20165	1939	1	267	267	CD
20165	1939	2	.	.	.
20165	1939	3	]	]	-RRB-
20165	1940	1	[	[	-LRB-
20165	1940	2	Illustration	illustration	NN
20165	1940	3	:	:	:
20165	1940	4	Fig	Fig	NNP
20165	1940	5	.	.	.
20165	1941	1	268	268	CD
20165	1941	2	.	.	.
20165	1941	3	]	]	-RRB-
20165	1942	1	When	when	WRB
20165	1942	2	the	the	DT
20165	1942	3	shadow	shadow	NN
20165	1942	4	of	of	IN
20165	1942	5	an	an	DT
20165	1942	6	object	object	NN
20165	1942	7	such	such	JJ
20165	1942	8	as	as	IN
20165	1942	9	_	_	NNP
20165	1942	10	A	A	NNP
20165	1942	11	_	_	NNP
20165	1942	12	,	,	,
20165	1942	13	Fig	Fig	NNP
20165	1942	14	.	.	.
20165	1943	1	268	268	CD
20165	1943	2	,	,	,
20165	1943	3	which	which	WDT
20165	1943	4	would	would	MD
20165	1943	5	fall	fall	VB
20165	1943	6	upon	upon	IN
20165	1943	7	the	the	DT
20165	1943	8	plane	plane	NN
20165	1943	9	,	,	,
20165	1943	10	is	be	VBZ
20165	1943	11	interrupted	interrupt	VBN
20165	1943	12	by	by	IN
20165	1943	13	another	another	DT
20165	1943	14	object	object	NN
20165	1943	15	_	_	NNP
20165	1943	16	B	B	NNP
20165	1943	17	_	_	NNP
20165	1943	18	,	,	,
20165	1943	19	then	then	RB
20165	1943	20	the	the	DT
20165	1943	21	outline	outline	NN
20165	1943	22	of	of	IN
20165	1943	23	the	the	DT
20165	1943	24	shadow	shadow	NN
20165	1943	25	is	be	VBZ
20165	1943	26	still	still	RB
20165	1943	27	drawn	draw	VBN
20165	1943	28	on	on	IN
20165	1943	29	the	the	DT
20165	1943	30	plane	plane	NN
20165	1943	31	,	,	,
20165	1943	32	but	but	CC
20165	1943	33	being	be	VBG
20165	1943	34	interrupted	interrupt	VBN
20165	1943	35	by	by	IN
20165	1943	36	the	the	DT
20165	1943	37	surface	surface	NN
20165	1943	38	_	_	NNP
20165	1943	39	B	B	NNP
20165	1943	40	_	_	NNP
20165	1943	41	at	at	IN
20165	1943	42	_	_	NNP
20165	1943	43	C	C	NNP
20165	1943	44	_	_	NNP
20165	1943	45	,	,	,
20165	1943	46	the	the	DT
20165	1943	47	shadow	shadow	NN
20165	1943	48	runs	run	VBZ
20165	1943	49	up	up	RP
20165	1943	50	that	that	DT
20165	1943	51	plane	plane	NN
20165	1943	52	till	till	IN
20165	1943	53	it	-PRON-	PRP
20165	1943	54	meets	meet	VBZ
20165	1943	55	the	the	DT
20165	1943	56	rays	ray	NNS
20165	1943	57	1	1	CD
20165	1943	58	,	,	,
20165	1943	59	2	2	CD
20165	1943	60	,	,	,
20165	1943	61	which	which	WDT
20165	1943	62	define	define	VBP
20165	1943	63	the	the	DT
20165	1943	64	shadow	shadow	NN
20165	1943	65	on	on	IN
20165	1943	66	plane	plane	NN
20165	1943	67	_	_	NNP
20165	1943	68	B	B	NNP
20165	1943	69	_	_	NNP
20165	1943	70	.	.	.
20165	1944	1	This	this	DT
20165	1944	2	is	be	VBZ
20165	1944	3	an	an	DT
20165	1944	4	important	important	JJ
20165	1944	5	point	point	NN
20165	1944	6	,	,	,
20165	1944	7	but	but	CC
20165	1944	8	is	be	VBZ
20165	1944	9	quite	quite	RB
20165	1944	10	explained	explain	VBN
20165	1944	11	by	by	IN
20165	1944	12	the	the	DT
20165	1944	13	figure	figure	NN
20165	1944	14	.	.	.
20165	1945	1	Although	although	IN
20165	1945	2	we	-PRON-	PRP
20165	1945	3	have	have	VBP
20165	1945	4	said	say	VBN
20165	1945	5	that	that	IN
20165	1945	6	the	the	DT
20165	1945	7	rays	ray	NNS
20165	1945	8	pass	pass	VBP
20165	1945	9	over	over	RP
20165	1945	10	the	the	DT
20165	1945	11	top	top	NN
20165	1945	12	of	of	IN
20165	1945	13	the	the	DT
20165	1945	14	object	object	NN
20165	1945	15	casting	cast	VBG
20165	1945	16	the	the	DT
20165	1945	17	shadow	shadow	NN
20165	1945	18	,	,	,
20165	1945	19	in	in	IN
20165	1945	20	the	the	DT
20165	1945	21	case	case	NN
20165	1945	22	of	of	IN
20165	1945	23	an	an	DT
20165	1945	24	archway	archway	NN
20165	1945	25	or	or	CC
20165	1945	26	similar	similar	JJ
20165	1945	27	figure	figure	NN
20165	1945	28	they	-PRON-	PRP
20165	1945	29	pass	pass	VBP
20165	1945	30	underneath	underneath	IN
20165	1945	31	it	-PRON-	PRP
20165	1945	32	;	;	:
20165	1945	33	but	but	CC
20165	1945	34	the	the	DT
20165	1945	35	same	same	JJ
20165	1945	36	principle	principle	NN
20165	1945	37	holds	hold	VBZ
20165	1945	38	good	good	JJ
20165	1945	39	,	,	,
20165	1945	40	that	that	RB
20165	1945	41	is	is	RB
20165	1945	42	,	,	,
20165	1945	43	we	-PRON-	PRP
20165	1945	44	draw	draw	VBP
20165	1945	45	lines	line	NNS
20165	1945	46	from	from	IN
20165	1945	47	the	the	DT
20165	1945	48	guiding	guide	VBG
20165	1945	49	points	point	NNS
20165	1945	50	in	in	IN
20165	1945	51	the	the	DT
20165	1945	52	arch	arch	NN
20165	1945	53	,	,	,
20165	1945	54	1	1	CD
20165	1945	55	,	,	,
20165	1945	56	2	2	CD
20165	1945	57	,	,	,
20165	1945	58	3	3	CD
20165	1945	59	,	,	,
20165	1945	60	&	&	CC
20165	1945	61	c.	c.	NNP
20165	1945	62	,	,	,
20165	1945	63	at	at	IN
20165	1945	64	the	the	DT
20165	1945	65	same	same	JJ
20165	1945	66	angle	angle	NN
20165	1945	67	of	of	IN
20165	1945	68	45	45	CD
20165	1945	69	°	°	NNS
20165	1945	70	to	to	TO
20165	1945	71	meet	meet	VB
20165	1945	72	the	the	DT
20165	1945	73	traces	trace	NNS
20165	1945	74	of	of	IN
20165	1945	75	those	those	DT
20165	1945	76	rays	ray	NNS
20165	1945	77	on	on	IN
20165	1945	78	the	the	DT
20165	1945	79	plane	plane	NN
20165	1945	80	of	of	IN
20165	1945	81	shade	shade	NN
20165	1945	82	,	,	,
20165	1945	83	and	and	CC
20165	1945	84	so	so	RB
20165	1945	85	get	get	VB
20165	1945	86	the	the	DT
20165	1945	87	shadow	shadow	NN
20165	1945	88	of	of	IN
20165	1945	89	the	the	DT
20165	1945	90	archway	archway	NN
20165	1945	91	,	,	,
20165	1945	92	as	as	IN
20165	1945	93	here	here	RB
20165	1945	94	shown	show	VBN
20165	1945	95	.	.	.
20165	1946	1	[	[	-LRB-
20165	1946	2	Illustration	illustration	NN
20165	1946	3	:	:	:
20165	1946	4	Fig	Fig	NNP
20165	1946	5	.	.	.
20165	1947	1	269	269	CD
20165	1947	2	.	.	.
20165	1947	3	]	]	-RRB-
20165	1948	1	CLI	CLI	NNP
20165	1948	2	THE	the	DT
20165	1948	3	SUN	sun	NN
20165	1948	4	BEHIND	behind	IN
20165	1948	5	THE	the	DT
20165	1948	6	PICTURE	picture	NN
20165	1948	7	We	-PRON-	PRP
20165	1948	8	have	have	VBP
20165	1948	9	seen	see	VBN
20165	1948	10	that	that	IN
20165	1948	11	when	when	WRB
20165	1948	12	the	the	DT
20165	1948	13	sun	sun	NN
20165	1948	14	's	's	POS
20165	1948	15	altitude	altitude	NN
20165	1948	16	is	be	VBZ
20165	1948	17	at	at	IN
20165	1948	18	an	an	DT
20165	1948	19	angle	angle	NN
20165	1948	20	of	of	IN
20165	1948	21	45	45	CD
20165	1948	22	°	°	NNS
20165	1948	23	the	the	DT
20165	1948	24	shadows	shadow	NNS
20165	1948	25	on	on	IN
20165	1948	26	the	the	DT
20165	1948	27	horizontal	horizontal	JJ
20165	1948	28	plane	plane	NN
20165	1948	29	are	be	VBP
20165	1948	30	the	the	DT
20165	1948	31	same	same	JJ
20165	1948	32	length	length	NN
20165	1948	33	as	as	IN
20165	1948	34	the	the	DT
20165	1948	35	height	height	NN
20165	1948	36	of	of	IN
20165	1948	37	the	the	DT
20165	1948	38	objects	object	NNS
20165	1948	39	that	that	WDT
20165	1948	40	cast	cast	VBD
20165	1948	41	them	-PRON-	PRP
20165	1948	42	.	.	.
20165	1949	1	Here	here	RB
20165	1949	2	(	(	-LRB-
20165	1949	3	Fig	fig	NN
20165	1949	4	.	.	.
20165	1950	1	270	270	CD
20165	1950	2	)	)	-RRB-
20165	1950	3	,	,	,
20165	1950	4	the	the	DT
20165	1950	5	sun	sun	NN
20165	1950	6	still	still	RB
20165	1950	7	being	be	VBG
20165	1950	8	at	at	IN
20165	1950	9	45	45	CD
20165	1950	10	°	°	NNS
20165	1950	11	altitude	altitude	NN
20165	1950	12	,	,	,
20165	1950	13	although	although	IN
20165	1950	14	behind	behind	IN
20165	1950	15	the	the	DT
20165	1950	16	picture	picture	NN
20165	1950	17	,	,	,
20165	1950	18	and	and	CC
20165	1950	19	consequently	consequently	RB
20165	1950	20	throwing	throw	VBG
20165	1950	21	the	the	DT
20165	1950	22	shadow	shadow	NN
20165	1950	23	of	of	IN
20165	1950	24	_	_	NNP
20165	1950	25	B	B	NNP
20165	1950	26	_	_	NNP
20165	1950	27	forwards	forwards	RB
20165	1950	28	,	,	,
20165	1950	29	that	that	DT
20165	1950	30	shadow	shadow	NN
20165	1950	31	must	must	MD
20165	1950	32	be	be	VB
20165	1950	33	the	the	DT
20165	1950	34	same	same	JJ
20165	1950	35	length	length	NN
20165	1950	36	as	as	IN
20165	1950	37	the	the	DT
20165	1950	38	height	height	NN
20165	1950	39	of	of	IN
20165	1950	40	cube	cube	NNP
20165	1950	41	_	_	NNP
20165	1950	42	B	B	NNP
20165	1950	43	_	_	NNP
20165	1950	44	,	,	,
20165	1950	45	which	which	WDT
20165	1950	46	will	will	MD
20165	1950	47	be	be	VB
20165	1950	48	seen	see	VBN
20165	1950	49	is	be	VBZ
20165	1950	50	the	the	DT
20165	1950	51	case	case	NN
20165	1950	52	,	,	,
20165	1950	53	for	for	IN
20165	1950	54	the	the	DT
20165	1950	55	shadow	shadow	NN
20165	1950	56	_	_	NNP
20165	1950	57	C	C	NNP
20165	1950	58	_	_	NNP
20165	1950	59	is	be	VBZ
20165	1950	60	a	a	DT
20165	1950	61	square	square	NN
20165	1950	62	in	in	IN
20165	1950	63	perspective	perspective	NN
20165	1950	64	.	.	.
20165	1951	1	[	[	-LRB-
20165	1951	2	Illustration	illustration	NN
20165	1951	3	:	:	:
20165	1951	4	Fig	Fig	NNP
20165	1951	5	.	.	.
20165	1952	1	270	270	CD
20165	1952	2	.	.	.
20165	1952	3	]	]	-RRB-
20165	1953	1	To	to	TO
20165	1953	2	find	find	VB
20165	1953	3	the	the	DT
20165	1953	4	angle	angle	NN
20165	1953	5	of	of	IN
20165	1953	6	altitude	altitude	NN
20165	1953	7	and	and	CC
20165	1953	8	the	the	DT
20165	1953	9	angle	angle	NN
20165	1953	10	of	of	IN
20165	1953	11	the	the	DT
20165	1953	12	sun	sun	NN
20165	1953	13	to	to	IN
20165	1953	14	the	the	DT
20165	1953	15	picture	picture	NN
20165	1953	16	,	,	,
20165	1953	17	we	-PRON-	PRP
20165	1953	18	must	must	MD
20165	1953	19	first	first	RB
20165	1953	20	find	find	VB
20165	1953	21	the	the	DT
20165	1953	22	distance	distance	NN
20165	1953	23	of	of	IN
20165	1953	24	the	the	DT
20165	1953	25	spectator	spectator	NN
20165	1953	26	from	from	IN
20165	1953	27	the	the	DT
20165	1953	28	foot	foot	NN
20165	1953	29	of	of	IN
20165	1953	30	the	the	DT
20165	1953	31	luminary	luminary	NN
20165	1953	32	.	.	.
20165	1954	1	[	[	-LRB-
20165	1954	2	Illustration	illustration	NN
20165	1954	3	:	:	:
20165	1954	4	Fig	Fig	NNP
20165	1954	5	.	.	.
20165	1955	1	271	271	CD
20165	1955	2	.	.	.
20165	1955	3	]	]	-RRB-
20165	1956	1	From	from	IN
20165	1956	2	point	point	NN
20165	1956	3	of	of	IN
20165	1956	4	sight	sight	NN
20165	1956	5	_	_	NNP
20165	1956	6	S	S	NNP
20165	1956	7	_	_	NNP
20165	1956	8	(	(	-LRB-
20165	1956	9	Fig	Fig	NNP
20165	1956	10	.	.	.
20165	1957	1	270	270	CD
20165	1957	2	)	)	-RRB-
20165	1957	3	drop	drop	VB
20165	1957	4	perpendicular	perpendicular	JJ
20165	1957	5	to	to	IN
20165	1957	6	_	_	NNP
20165	1957	7	T	T	NNP
20165	1957	8	_	_	NNP
20165	1957	9	,	,	,
20165	1957	10	the	the	DT
20165	1957	11	station	station	NN
20165	1957	12	-	-	HYPH
20165	1957	13	point	point	NN
20165	1957	14	.	.	.
20165	1958	1	From	from	IN
20165	1958	2	_	_	NNP
20165	1958	3	T	T	NNP
20165	1958	4	_	_	NNP
20165	1958	5	draw	draw	NN
20165	1958	6	_	_	NNP
20165	1958	7	TF	TF	NNP
20165	1958	8	_	_	NNP
20165	1958	9	at	at	IN
20165	1958	10	45	45	CD
20165	1958	11	°	°	NNS
20165	1958	12	to	to	TO
20165	1958	13	meet	meet	VB
20165	1958	14	horizon	horizon	NN
20165	1958	15	at	at	IN
20165	1958	16	_	_	NNP
20165	1958	17	F	F	NNP
20165	1958	18	_	_	NNP
20165	1958	19	.	.	.
20165	1959	1	With	with	IN
20165	1959	2	radius	radius	NN
20165	1959	3	_	_	NNP
20165	1959	4	FT	FT	NNP
20165	1959	5	_	_	NNP
20165	1959	6	make	make	VB
20165	1959	7	_	_	NNP
20165	1959	8	FO	FO	NNP
20165	1959	9	_	_	NNP
20165	1959	10	equal	equal	JJ
20165	1959	11	to	to	IN
20165	1959	12	it	-PRON-	PRP
20165	1959	13	.	.	.
20165	1960	1	Then	then	RB
20165	1960	2	_	_	NNP
20165	1960	3	O	O	NNP
20165	1960	4	_	_	NNP
20165	1960	5	is	be	VBZ
20165	1960	6	the	the	DT
20165	1960	7	position	position	NN
20165	1960	8	of	of	IN
20165	1960	9	the	the	DT
20165	1960	10	spectator	spectator	NN
20165	1960	11	.	.	.
20165	1961	1	From	from	IN
20165	1961	2	_	_	NNP
20165	1961	3	F	F	NNP
20165	1961	4	_	_	NNP
20165	1961	5	raise	raise	VB
20165	1961	6	vertical	vertical	JJ
20165	1961	7	_	_	NNP
20165	1961	8	FL	FL	NNP
20165	1961	9	_	_	NNP
20165	1961	10	,	,	,
20165	1961	11	and	and	CC
20165	1961	12	from	from	IN
20165	1961	13	_	_	NNP
20165	1961	14	O	O	NNP
20165	1961	15	_	_	NNP
20165	1961	16	draw	draw	VBP
20165	1961	17	a	a	DT
20165	1961	18	line	line	NN
20165	1961	19	at	at	IN
20165	1961	20	45	45	CD
20165	1961	21	°	°	NNS
20165	1961	22	to	to	TO
20165	1961	23	meet	meet	VB
20165	1961	24	_	_	NNP
20165	1961	25	FL	FL	NNP
20165	1961	26	_	_	NNP
20165	1961	27	at	at	IN
20165	1961	28	_	_	NNP
20165	1961	29	L	L	NNP
20165	1961	30	_	_	NNP
20165	1961	31	,	,	,
20165	1961	32	which	which	WDT
20165	1961	33	is	be	VBZ
20165	1961	34	the	the	DT
20165	1961	35	luminary	luminary	JJ
20165	1961	36	at	at	IN
20165	1961	37	an	an	DT
20165	1961	38	altitude	altitude	NN
20165	1961	39	of	of	IN
20165	1961	40	45	45	CD
20165	1961	41	°	°	NNS
20165	1961	42	,	,	,
20165	1961	43	and	and	CC
20165	1961	44	at	at	IN
20165	1961	45	an	an	DT
20165	1961	46	angle	angle	NN
20165	1961	47	of	of	IN
20165	1961	48	45	45	CD
20165	1961	49	°	°	NNS
20165	1961	50	to	to	IN
20165	1961	51	the	the	DT
20165	1961	52	picture	picture	NN
20165	1961	53	.	.	.
20165	1962	1	Fig	fig	NN
20165	1962	2	.	.	.
20165	1963	1	272	272	CD
20165	1963	2	is	be	VBZ
20165	1963	3	similar	similar	JJ
20165	1963	4	to	to	IN
20165	1963	5	the	the	DT
20165	1963	6	foregoing	foregoing	NN
20165	1963	7	,	,	,
20165	1963	8	only	only	RB
20165	1963	9	the	the	DT
20165	1963	10	angles	angle	NNS
20165	1963	11	of	of	IN
20165	1963	12	altitude	altitude	NN
20165	1963	13	and	and	CC
20165	1963	14	of	of	IN
20165	1963	15	the	the	DT
20165	1963	16	sun	sun	NN
20165	1963	17	to	to	IN
20165	1963	18	the	the	DT
20165	1963	19	picture	picture	NN
20165	1963	20	are	be	VBP
20165	1963	21	altered	alter	VBN
20165	1963	22	.	.	.
20165	1964	1	_	_	NNP
20165	1964	2	Note._--The	Note._--The	NNP
20165	1964	3	sun	sun	NN
20165	1964	4	being	be	VBG
20165	1964	5	at	at	IN
20165	1964	6	50	50	CD
20165	1964	7	°	°	NNS
20165	1964	8	to	to	IN
20165	1964	9	the	the	DT
20165	1964	10	picture	picture	NN
20165	1964	11	instead	instead	RB
20165	1964	12	of	of	IN
20165	1964	13	45	45	CD
20165	1964	14	°	°	NNS
20165	1964	15	,	,	,
20165	1964	16	is	be	VBZ
20165	1964	17	nearer	near	JJR
20165	1964	18	the	the	DT
20165	1964	19	point	point	NN
20165	1964	20	of	of	IN
20165	1964	21	sight	sight	NN
20165	1964	22	;	;	:
20165	1964	23	at	at	IN
20165	1964	24	90	90	CD
20165	1964	25	°	°	NNS
20165	1964	26	it	-PRON-	PRP
20165	1964	27	would	would	MD
20165	1964	28	be	be	VB
20165	1964	29	exactly	exactly	RB
20165	1964	30	opposite	opposite	IN
20165	1964	31	the	the	DT
20165	1964	32	spectator	spectator	NN
20165	1964	33	,	,	,
20165	1964	34	and	and	CC
20165	1964	35	so	so	RB
20165	1964	36	on	on	RB
20165	1964	37	.	.	.
20165	1965	1	Again	again	RB
20165	1965	2	,	,	,
20165	1965	3	the	the	DT
20165	1965	4	elevation	elevation	NN
20165	1965	5	being	be	VBG
20165	1965	6	less	less	JJR
20165	1965	7	(	(	-LRB-
20165	1965	8	40	40	CD
20165	1965	9	°	°	NNS
20165	1965	10	instead	instead	RB
20165	1965	11	of	of	IN
20165	1965	12	45	45	CD
20165	1965	13	°	°	NNS
20165	1965	14	)	)	-RRB-
20165	1965	15	the	the	DT
20165	1965	16	shadow	shadow	NN
20165	1965	17	is	be	VBZ
20165	1965	18	longer	long	JJR
20165	1965	19	.	.	.
20165	1966	1	Owing	owe	VBG
20165	1966	2	to	to	IN
20165	1966	3	the	the	DT
20165	1966	4	changed	change	VBN
20165	1966	5	position	position	NN
20165	1966	6	of	of	IN
20165	1966	7	the	the	DT
20165	1966	8	sun	sun	NN
20165	1966	9	two	two	CD
20165	1966	10	sides	side	NNS
20165	1966	11	of	of	IN
20165	1966	12	the	the	DT
20165	1966	13	cube	cube	NN
20165	1966	14	throw	throw	VB
20165	1966	15	a	a	DT
20165	1966	16	shadow	shadow	NN
20165	1966	17	.	.	.
20165	1967	1	Note	note	VB
20165	1967	2	also	also	RB
20165	1967	3	that	that	IN
20165	1967	4	the	the	DT
20165	1967	5	outlines	outline	NNS
20165	1967	6	of	of	IN
20165	1967	7	the	the	DT
20165	1967	8	shadow	shadow	NN
20165	1967	9	,	,	,
20165	1967	10	1	1	CD
20165	1967	11	2	2	CD
20165	1967	12	,	,	,
20165	1967	13	2	2	CD
20165	1967	14	3	3	CD
20165	1967	15	,	,	,
20165	1967	16	are	be	VBP
20165	1967	17	drawn	draw	VBN
20165	1967	18	to	to	IN
20165	1967	19	the	the	DT
20165	1967	20	same	same	JJ
20165	1967	21	vanishing	vanishing	JJ
20165	1967	22	points	point	NNS
20165	1967	23	as	as	IN
20165	1967	24	the	the	DT
20165	1967	25	cube	cube	NNP
20165	1967	26	itself	-PRON-	PRP
20165	1967	27	.	.	.
20165	1968	1	It	-PRON-	PRP
20165	1968	2	will	will	MD
20165	1968	3	not	not	RB
20165	1968	4	be	be	VB
20165	1968	5	necessary	necessary	JJ
20165	1968	6	to	to	TO
20165	1968	7	mark	mark	VB
20165	1968	8	the	the	DT
20165	1968	9	angles	angle	NNS
20165	1968	10	each	each	DT
20165	1968	11	time	time	NN
20165	1968	12	we	-PRON-	PRP
20165	1968	13	make	make	VBP
20165	1968	14	a	a	DT
20165	1968	15	drawing	drawing	NN
20165	1968	16	,	,	,
20165	1968	17	as	as	IN
20165	1968	18	it	-PRON-	PRP
20165	1968	19	must	must	MD
20165	1968	20	be	be	VB
20165	1968	21	seen	see	VBN
20165	1968	22	we	-PRON-	PRP
20165	1968	23	can	can	MD
20165	1968	24	place	place	VB
20165	1968	25	the	the	DT
20165	1968	26	luminary	luminary	NN
20165	1968	27	in	in	IN
20165	1968	28	any	any	DT
20165	1968	29	position	position	NN
20165	1968	30	that	that	WDT
20165	1968	31	suits	suit	VBZ
20165	1968	32	our	-PRON-	PRP$
20165	1968	33	convenience	convenience	NN
20165	1968	34	.	.	.
20165	1969	1	[	[	-LRB-
20165	1969	2	Illustration	illustration	NN
20165	1969	3	:	:	:
20165	1969	4	Fig	Fig	NNP
20165	1969	5	.	.	.
20165	1970	1	272	272	CD
20165	1970	2	.	.	.
20165	1970	3	]	]	-RRB-
20165	1971	1	CLII	CLII	NNS
20165	1971	2	SUN	sun	VBP
20165	1971	3	BEHIND	behind	IN
20165	1971	4	THE	the	DT
20165	1971	5	PICTURE	picture	NN
20165	1971	6	,	,	,
20165	1971	7	SHADOWS	shadows	JJ
20165	1971	8	THROWN	thrown	NN
20165	1971	9	ON	on	IN
20165	1971	10	A	a	DT
20165	1971	11	WALL	WALL	NNP
20165	1971	12	As	as	RB
20165	1971	13	here	here	RB
20165	1971	14	we	-PRON-	PRP
20165	1971	15	change	change	VBP
20165	1971	16	the	the	DT
20165	1971	17	conditions	condition	NNS
20165	1971	18	we	-PRON-	PRP
20165	1971	19	must	must	MD
20165	1971	20	also	also	RB
20165	1971	21	change	change	VB
20165	1971	22	our	-PRON-	PRP$
20165	1971	23	procedure	procedure	NN
20165	1971	24	.	.	.
20165	1972	1	An	an	DT
20165	1972	2	upright	upright	JJ
20165	1972	3	wall	wall	NN
20165	1972	4	now	now	RB
20165	1972	5	becomes	become	VBZ
20165	1972	6	the	the	DT
20165	1972	7	plane	plane	NN
20165	1972	8	of	of	IN
20165	1972	9	shade	shade	NN
20165	1972	10	,	,	,
20165	1972	11	therefore	therefore	RB
20165	1972	12	as	as	IN
20165	1972	13	the	the	DT
20165	1972	14	principle	principle	NN
20165	1972	15	of	of	IN
20165	1972	16	shadows	shadow	NNS
20165	1972	17	must	must	MD
20165	1972	18	always	always	RB
20165	1972	19	remain	remain	VB
20165	1972	20	the	the	DT
20165	1972	21	same	same	JJ
20165	1972	22	we	-PRON-	PRP
20165	1972	23	have	have	VBP
20165	1972	24	to	to	TO
20165	1972	25	change	change	VB
20165	1972	26	the	the	DT
20165	1972	27	relative	relative	JJ
20165	1972	28	positions	position	NNS
20165	1972	29	of	of	IN
20165	1972	30	the	the	DT
20165	1972	31	luminary	luminary	JJ
20165	1972	32	and	and	CC
20165	1972	33	the	the	DT
20165	1972	34	foot	foot	NN
20165	1972	35	thereof	thereof	RB
20165	1972	36	.	.	.
20165	1973	1	At	at	IN
20165	1973	2	_	_	NNP
20165	1973	3	S	S	NNP
20165	1973	4	_	_	NNP
20165	1973	5	(	(	-LRB-
20165	1973	6	point	point	NN
20165	1973	7	of	of	IN
20165	1973	8	sight	sight	NN
20165	1973	9	)	)	-RRB-
20165	1973	10	raise	raise	VBP
20165	1973	11	vertical	vertical	JJ
20165	1973	12	_	_	NNP
20165	1973	13	SF	SF	NNP
20165	1973	14	·	·	NFP
20165	1973	15	_	_	NNP
20165	1973	16	,	,	,
20165	1973	17	making	make	VBG
20165	1973	18	it	-PRON-	PRP
20165	1973	19	equal	equal	JJ
20165	1973	20	to	to	IN
20165	1973	21	_	_	NNP
20165	1973	22	fL	fL	NNP
20165	1973	23	_	_	NNP
20165	1973	24	.	.	.
20165	1974	1	_	_	NNP
20165	1974	2	F	F	NNP
20165	1974	3	·	·	NFP
20165	1974	4	_	_	NNP
20165	1974	5	becomes	become	VBZ
20165	1974	6	the	the	DT
20165	1974	7	foot	foot	NN
20165	1974	8	of	of	IN
20165	1974	9	the	the	DT
20165	1974	10	luminary	luminary	JJ
20165	1974	11	,	,	,
20165	1974	12	whilst	whilst	IN
20165	1974	13	the	the	DT
20165	1974	14	luminary	luminary	NN
20165	1974	15	itself	-PRON-	PRP
20165	1974	16	still	still	RB
20165	1974	17	remains	remain	VBZ
20165	1974	18	at	at	IN
20165	1974	19	_	_	NNP
20165	1974	20	L	L	NNP
20165	1974	21	_	_	NNP
20165	1974	22	.	.	.
20165	1975	1	[	[	-LRB-
20165	1975	2	Illustration	illustration	NN
20165	1975	3	:	:	:
20165	1975	4	Fig	Fig	NNP
20165	1975	5	.	.	.
20165	1976	1	273	273	CD
20165	1976	2	.	.	.
20165	1976	3	]	]	-RRB-
20165	1977	1	We	-PRON-	PRP
20165	1977	2	have	have	VBP
20165	1977	3	but	but	CC
20165	1977	4	to	to	TO
20165	1977	5	turn	turn	VB
20165	1977	6	this	this	DT
20165	1977	7	page	page	NN
20165	1977	8	half	half	JJ
20165	1977	9	round	round	RB
20165	1977	10	and	and	CC
20165	1977	11	look	look	VB
20165	1977	12	at	at	IN
20165	1977	13	it	-PRON-	PRP
20165	1977	14	from	from	IN
20165	1977	15	the	the	DT
20165	1977	16	right	right	NN
20165	1977	17	,	,	,
20165	1977	18	and	and	CC
20165	1977	19	we	-PRON-	PRP
20165	1977	20	shall	shall	MD
20165	1977	21	see	see	VB
20165	1977	22	that	that	IN
20165	1977	23	_	_	NNP
20165	1977	24	SF	SF	NNP
20165	1977	25	·	·	NFP
20165	1977	26	_	_	NNP
20165	1977	27	becomes	become	VBZ
20165	1977	28	as	as	IN
20165	1977	29	it	-PRON-	PRP
20165	1977	30	were	be	VBD
20165	1977	31	the	the	DT
20165	1977	32	horizontal	horizontal	JJ
20165	1977	33	line	line	NN
20165	1977	34	.	.	.
20165	1978	1	The	the	DT
20165	1978	2	luminary	luminary	JJ
20165	1978	3	_	_	NNP
20165	1978	4	L	L	NNP
20165	1978	5	_	_	NNP
20165	1978	6	is	be	VBZ
20165	1978	7	at	at	IN
20165	1978	8	the	the	DT
20165	1978	9	right	right	JJ
20165	1978	10	side	side	NN
20165	1978	11	of	of	IN
20165	1978	12	point	point	NN
20165	1978	13	_	_	NNP
20165	1978	14	S	S	NNP
20165	1978	15	_	_	NNP
20165	1978	16	instead	instead	RB
20165	1978	17	of	of	IN
20165	1978	18	the	the	DT
20165	1978	19	left	left	NN
20165	1978	20	,	,	,
20165	1978	21	and	and	CC
20165	1978	22	the	the	DT
20165	1978	23	foot	foot	NN
20165	1978	24	thereof	thereof	RB
20165	1978	25	is	be	VBZ
20165	1978	26	,	,	,
20165	1978	27	as	as	IN
20165	1978	28	before	before	RB
20165	1978	29	,	,	,
20165	1978	30	the	the	DT
20165	1978	31	trace	trace	NN
20165	1978	32	of	of	IN
20165	1978	33	the	the	DT
20165	1978	34	luminary	luminary	JJ
20165	1978	35	,	,	,
20165	1978	36	as	as	IN
20165	1978	37	it	-PRON-	PRP
20165	1978	38	is	be	VBZ
20165	1978	39	just	just	RB
20165	1978	40	underneath	underneath	IN
20165	1978	41	it	-PRON-	PRP
20165	1978	42	.	.	.
20165	1979	1	We	-PRON-	PRP
20165	1979	2	shall	shall	MD
20165	1979	3	also	also	RB
20165	1979	4	see	see	VB
20165	1979	5	that	that	IN
20165	1979	6	by	by	IN
20165	1979	7	proceeding	proceed	VBG
20165	1979	8	as	as	IN
20165	1979	9	in	in	IN
20165	1979	10	previous	previous	JJ
20165	1979	11	figures	figure	NNS
20165	1979	12	we	-PRON-	PRP
20165	1979	13	obtain	obtain	VBP
20165	1979	14	the	the	DT
20165	1979	15	same	same	JJ
20165	1979	16	results	result	NNS
20165	1979	17	on	on	IN
20165	1979	18	the	the	DT
20165	1979	19	wall	wall	NN
20165	1979	20	as	as	IN
20165	1979	21	we	-PRON-	PRP
20165	1979	22	did	do	VBD
20165	1979	23	on	on	IN
20165	1979	24	the	the	DT
20165	1979	25	horizontal	horizontal	JJ
20165	1979	26	plane	plane	NN
20165	1979	27	.	.	.
20165	1980	1	Fig	fig	NN
20165	1980	2	.	.	.
20165	1981	1	B	b	NN
20165	1981	2	being	be	VBG
20165	1981	3	on	on	IN
20165	1981	4	the	the	DT
20165	1981	5	horizontal	horizontal	JJ
20165	1981	6	plane	plane	NN
20165	1981	7	is	be	VBZ
20165	1981	8	treated	treat	VBN
20165	1981	9	as	as	IN
20165	1981	10	already	already	RB
20165	1981	11	shown	show	VBN
20165	1981	12	.	.	.
20165	1982	1	The	the	DT
20165	1982	2	steps	step	NNS
20165	1982	3	have	have	VBP
20165	1982	4	their	-PRON-	PRP$
20165	1982	5	shadows	shadow	NNS
20165	1982	6	partly	partly	RB
20165	1982	7	on	on	IN
20165	1982	8	the	the	DT
20165	1982	9	wall	wall	NN
20165	1982	10	and	and	CC
20165	1982	11	partly	partly	RB
20165	1982	12	on	on	IN
20165	1982	13	the	the	DT
20165	1982	14	horizontal	horizontal	JJ
20165	1982	15	plane	plane	NN
20165	1982	16	,	,	,
20165	1982	17	so	so	IN
20165	1982	18	that	that	IN
20165	1982	19	the	the	DT
20165	1982	20	shadows	shadow	NNS
20165	1982	21	on	on	IN
20165	1982	22	the	the	DT
20165	1982	23	wall	wall	NN
20165	1982	24	are	be	VBP
20165	1982	25	outlined	outline	VBN
20165	1982	26	from	from	IN
20165	1982	27	_	_	NNP
20165	1982	28	F	F	NNP
20165	1982	29	·	·	NFP
20165	1982	30	_	_	NNP
20165	1982	31	and	and	CC
20165	1982	32	those	those	DT
20165	1982	33	on	on	IN
20165	1982	34	the	the	DT
20165	1982	35	ground	ground	NN
20165	1982	36	from	from	IN
20165	1982	37	_	_	NNP
20165	1982	38	f	f	NNP
20165	1982	39	_	_	NNP
20165	1982	40	.	.	.
20165	1983	1	Note	note	VB
20165	1983	2	shadow	shadow	NN
20165	1983	3	of	of	IN
20165	1983	4	roof	roof	NN
20165	1983	5	_	_	NNP
20165	1983	6	A	A	NNP
20165	1983	7	_	_	NNP
20165	1983	8	,	,	,
20165	1983	9	and	and	CC
20165	1983	10	how	how	WRB
20165	1983	11	the	the	DT
20165	1983	12	line	line	NN
20165	1983	13	drawn	draw	VBN
20165	1983	14	from	from	IN
20165	1983	15	_	_	NNP
20165	1983	16	F	F	NNP
20165	1983	17	·	·	NFP
20165	1983	18	_	_	NNP
20165	1983	19	through	through	IN
20165	1983	20	_	_	NNP
20165	1983	21	A	A	NNP
20165	1983	22	_	_	NNP
20165	1983	23	is	be	VBZ
20165	1983	24	met	meet	VBN
20165	1983	25	by	by	IN
20165	1983	26	the	the	DT
20165	1983	27	line	line	NN
20165	1983	28	drawn	draw	VBN
20165	1983	29	from	from	IN
20165	1983	30	the	the	DT
20165	1983	31	luminary	luminary	JJ
20165	1983	32	_	_	NNP
20165	1983	33	L	L	NNP
20165	1983	34	_	_	NNP
20165	1983	35	,	,	,
20165	1983	36	at	at	IN
20165	1983	37	the	the	DT
20165	1983	38	point	point	NN
20165	1983	39	_	_	NNP
20165	1983	40	P	P	NNP
20165	1983	41	_	_	NNP
20165	1983	42	,	,	,
20165	1983	43	and	and	CC
20165	1983	44	how	how	WRB
20165	1983	45	the	the	DT
20165	1983	46	lower	low	JJR
20165	1983	47	line	line	NN
20165	1983	48	of	of	IN
20165	1983	49	the	the	DT
20165	1983	50	shadow	shadow	NN
20165	1983	51	is	be	VBZ
20165	1983	52	directed	direct	VBN
20165	1983	53	to	to	TO
20165	1983	54	point	point	NN
20165	1983	55	of	of	IN
20165	1983	56	sight	sight	NN
20165	1983	57	_	_	NNP
20165	1983	58	S	S	NNP
20165	1983	59	_	_	NNP
20165	1983	60	.	.	.
20165	1984	1	[	[	-LRB-
20165	1984	2	Illustration	illustration	NN
20165	1984	3	:	:	:
20165	1984	4	Fig	Fig	NNP
20165	1984	5	.	.	.
20165	1985	1	274	274	CD
20165	1985	2	.	.	.
20165	1985	3	]	]	-RRB-
20165	1986	1	Fig	fig	NN
20165	1986	2	.	.	.
20165	1987	1	274	274	CD
20165	1987	2	is	be	VBZ
20165	1987	3	a	a	DT
20165	1987	4	larger	large	JJR
20165	1987	5	drawing	drawing	NN
20165	1987	6	of	of	IN
20165	1987	7	the	the	DT
20165	1987	8	steps	step	NNS
20165	1987	9	,	,	,
20165	1987	10	&	&	CC
20165	1987	11	c.	c.	NNP
20165	1987	12	,	,	,
20165	1987	13	in	in	IN
20165	1987	14	further	further	JJ
20165	1987	15	illustration	illustration	NN
20165	1987	16	of	of	IN
20165	1987	17	the	the	DT
20165	1987	18	above	above	JJ
20165	1987	19	.	.	.
20165	1988	1	CLIII	CLIII	NNP
20165	1988	2	SUN	sun	VBP
20165	1988	3	BEHIND	behind	IN
20165	1988	4	THE	the	DT
20165	1988	5	PICTURE	picture	NN
20165	1988	6	THROWING	throwing	NN
20165	1988	7	SHADOW	shadow	NN
20165	1988	8	ON	on	IN
20165	1988	9	AN	an	DT
20165	1988	10	INCLINED	inclined	NN
20165	1988	11	PLANE	PLANE	VBN
20165	1988	12	[	[	-LRB-
20165	1988	13	Illustration	illustration	NN
20165	1988	14	:	:	:
20165	1988	15	Fig	Fig	NNP
20165	1988	16	.	.	.
20165	1989	1	275	275	CD
20165	1989	2	.	.	.
20165	1989	3	]	]	-RRB-
20165	1990	1	The	the	DT
20165	1990	2	vanishing	vanishing	JJ
20165	1990	3	point	point	NN
20165	1990	4	of	of	IN
20165	1990	5	the	the	DT
20165	1990	6	shadows	shadow	NNS
20165	1990	7	on	on	IN
20165	1990	8	an	an	DT
20165	1990	9	inclined	inclined	JJ
20165	1990	10	plane	plane	NN
20165	1990	11	is	be	VBZ
20165	1990	12	on	on	IN
20165	1990	13	a	a	DT
20165	1990	14	vertical	vertical	JJ
20165	1990	15	dropped	drop	VBN
20165	1990	16	from	from	IN
20165	1990	17	the	the	DT
20165	1990	18	luminary	luminary	NN
20165	1990	19	to	to	IN
20165	1990	20	a	a	DT
20165	1990	21	point	point	NN
20165	1990	22	(	(	-LRB-
20165	1990	23	_	_	NNP
20165	1990	24	F	F	NNP
20165	1990	25	_	_	NNP
20165	1990	26	)	)	-RRB-
20165	1990	27	on	on	IN
20165	1990	28	a	a	DT
20165	1990	29	level	level	NN
20165	1990	30	with	with	IN
20165	1990	31	the	the	DT
20165	1990	32	vanishing	vanishing	JJ
20165	1990	33	point	point	NN
20165	1990	34	(	(	-LRB-
20165	1990	35	_	_	NNP
20165	1990	36	P	P	NNP
20165	1990	37	_	_	NNP
20165	1990	38	)	)	-RRB-
20165	1990	39	of	of	IN
20165	1990	40	that	that	DT
20165	1990	41	inclined	incline	VBN
20165	1990	42	plane	plane	NN
20165	1990	43	.	.	.
20165	1991	1	Thus	thus	RB
20165	1991	2	_	_	NNP
20165	1991	3	P	P	NNP
20165	1991	4	_	_	NNP
20165	1991	5	is	be	VBZ
20165	1991	6	the	the	DT
20165	1991	7	vanishing	vanish	VBG
20165	1991	8	point	point	NN
20165	1991	9	of	of	IN
20165	1991	10	the	the	DT
20165	1991	11	inclined	inclined	JJ
20165	1991	12	plane	plane	NN
20165	1991	13	_	_	NNP
20165	1991	14	K	K	NNP
20165	1991	15	_	_	NNP
20165	1991	16	.	.	.
20165	1992	1	Draw	draw	VB
20165	1992	2	horizontal	horizontal	JJ
20165	1992	3	_	_	NNP
20165	1992	4	PF	PF	NNP
20165	1992	5	_	_	NNP
20165	1992	6	to	to	TO
20165	1992	7	meet	meet	VB
20165	1992	8	_	_	NNP
20165	1992	9	fL	fL	NNP
20165	1992	10	_	_	NNP
20165	1992	11	(	(	-LRB-
20165	1992	12	the	the	DT
20165	1992	13	line	line	NN
20165	1992	14	drawn	draw	VBN
20165	1992	15	from	from	IN
20165	1992	16	the	the	DT
20165	1992	17	luminary	luminary	NN
20165	1992	18	to	to	IN
20165	1992	19	the	the	DT
20165	1992	20	horizon	horizon	NN
20165	1992	21	)	)	-RRB-
20165	1992	22	.	.	.
20165	1993	1	Then	then	RB
20165	1993	2	_	_	NNP
20165	1993	3	F	F	NNP
20165	1993	4	_	_	NNP
20165	1993	5	will	will	MD
20165	1993	6	be	be	VB
20165	1993	7	the	the	DT
20165	1993	8	vanishing	vanish	VBG
20165	1993	9	point	point	NN
20165	1993	10	of	of	IN
20165	1993	11	the	the	DT
20165	1993	12	shadows	shadow	NNS
20165	1993	13	on	on	IN
20165	1993	14	the	the	DT
20165	1993	15	inclined	incline	VBN
20165	1993	16	plane	plane	NN
20165	1993	17	.	.	.
20165	1994	1	To	to	TO
20165	1994	2	find	find	VB
20165	1994	3	the	the	DT
20165	1994	4	shadow	shadow	NN
20165	1994	5	of	of	IN
20165	1994	6	_	_	NNP
20165	1994	7	M	M	NNP
20165	1994	8	_	_	NNP
20165	1994	9	draw	draw	VBP
20165	1994	10	lines	line	NNS
20165	1994	11	from	from	IN
20165	1994	12	_	_	NNP
20165	1994	13	F	F	NNP
20165	1994	14	_	_	NNP
20165	1994	15	through	through	IN
20165	1994	16	the	the	DT
20165	1994	17	base	base	NN
20165	1994	18	_	_	NNP
20165	1994	19	eg	eg	NNP
20165	1994	20	_	_	NNP
20165	1994	21	to	to	IN
20165	1994	22	_	_	NNP
20165	1994	23	cd	cd	NNP
20165	1994	24	_	_	NNP
20165	1994	25	.	.	.
20165	1995	1	From	from	IN
20165	1995	2	luminary	luminary	JJ
20165	1995	3	_	_	NNP
20165	1995	4	L	L	NNP
20165	1995	5	_	_	NNP
20165	1995	6	draw	draw	VBP
20165	1995	7	lines	line	NNS
20165	1995	8	through	through	IN
20165	1995	9	_	_	NNP
20165	1995	10	ab	ab	NNP
20165	1995	11	_	_	NNP
20165	1995	12	,	,	,
20165	1995	13	also	also	RB
20165	1995	14	to	to	IN
20165	1995	15	_	_	NNP
20165	1995	16	cd	cd	NNP
20165	1995	17	_	_	NNP
20165	1995	18	,	,	,
20165	1995	19	where	where	WRB
20165	1995	20	they	-PRON-	PRP
20165	1995	21	will	will	MD
20165	1995	22	meet	meet	VB
20165	1995	23	those	those	DT
20165	1995	24	drawn	draw	VBN
20165	1995	25	from	from	IN
20165	1995	26	_	_	NNP
20165	1995	27	F	F	NNP
20165	1995	28	_	_	NNP
20165	1995	29	.	.	.
20165	1996	1	Draw	draw	VB
20165	1996	2	_	_	NNP
20165	1996	3	CD	CD	NNP
20165	1996	4	_	_	NNP
20165	1996	5	,	,	,
20165	1996	6	which	which	WDT
20165	1996	7	determines	determine	VBZ
20165	1996	8	the	the	DT
20165	1996	9	length	length	NN
20165	1996	10	of	of	IN
20165	1996	11	the	the	DT
20165	1996	12	shadow	shadow	NN
20165	1996	13	_	_	NNP
20165	1996	14	egcd	egcd	NN
20165	1996	15	_	_	NNP
20165	1996	16	.	.	.
20165	1997	1	CLIV	CLIV	NNP
20165	1997	2	THE	the	DT
20165	1997	3	SUN	SUN	NNP
20165	1997	4	IN	in	IN
20165	1997	5	FRONT	front	NN
20165	1997	6	OF	of	IN
20165	1997	7	THE	the	DT
20165	1997	8	PICTURE	picture	NN
20165	1997	9	[	[	-LRB-
20165	1997	10	Illustration	illustration	NN
20165	1997	11	:	:	:
20165	1997	12	Fig	Fig	NNP
20165	1997	13	.	.	.
20165	1998	1	276	276	CD
20165	1998	2	.	.	.
20165	1998	3	]	]	-RRB-
20165	1999	1	When	when	WRB
20165	1999	2	the	the	DT
20165	1999	3	sun	sun	NN
20165	1999	4	is	be	VBZ
20165	1999	5	in	in	IN
20165	1999	6	front	front	NN
20165	1999	7	of	of	IN
20165	1999	8	the	the	DT
20165	1999	9	picture	picture	NN
20165	1999	10	we	-PRON-	PRP
20165	1999	11	have	have	VBP
20165	1999	12	exactly	exactly	RB
20165	1999	13	the	the	DT
20165	1999	14	opposite	opposite	JJ
20165	1999	15	effect	effect	NN
20165	1999	16	to	to	IN
20165	1999	17	that	that	DT
20165	1999	18	we	-PRON-	PRP
20165	1999	19	have	have	VBP
20165	1999	20	just	just	RB
20165	1999	21	been	be	VBN
20165	1999	22	studying	study	VBG
20165	1999	23	.	.	.
20165	2000	1	The	the	DT
20165	2000	2	shadows	shadow	NNS
20165	2000	3	,	,	,
20165	2000	4	instead	instead	RB
20165	2000	5	of	of	IN
20165	2000	6	coming	come	VBG
20165	2000	7	towards	towards	IN
20165	2000	8	us	-PRON-	PRP
20165	2000	9	,	,	,
20165	2000	10	are	be	VBP
20165	2000	11	retreating	retreat	VBG
20165	2000	12	from	from	IN
20165	2000	13	us	-PRON-	PRP
20165	2000	14	,	,	,
20165	2000	15	and	and	CC
20165	2000	16	the	the	DT
20165	2000	17	objects	object	NNS
20165	2000	18	throwing	throw	VBG
20165	2000	19	them	-PRON-	PRP
20165	2000	20	are	be	VBP
20165	2000	21	in	in	IN
20165	2000	22	full	full	JJ
20165	2000	23	light	light	NN
20165	2000	24	,	,	,
20165	2000	25	consequently	consequently	RB
20165	2000	26	we	-PRON-	PRP
20165	2000	27	have	have	VBP
20165	2000	28	to	to	TO
20165	2000	29	reverse	reverse	VB
20165	2000	30	our	-PRON-	PRP$
20165	2000	31	treatment	treatment	NN
20165	2000	32	.	.	.
20165	2001	1	Let	let	VB
20165	2001	2	us	-PRON-	PRP
20165	2001	3	suppose	suppose	VB
20165	2001	4	the	the	DT
20165	2001	5	sun	sun	NN
20165	2001	6	to	to	TO
20165	2001	7	be	be	VB
20165	2001	8	placed	place	VBN
20165	2001	9	above	above	IN
20165	2001	10	the	the	DT
20165	2001	11	horizon	horizon	NN
20165	2001	12	at	at	IN
20165	2001	13	_	_	NNP
20165	2001	14	L	L	NNP
20165	2001	15	·	·	:
20165	2001	16	_	_	NNP
20165	2001	17	,	,	,
20165	2001	18	on	on	IN
20165	2001	19	the	the	DT
20165	2001	20	right	right	NN
20165	2001	21	of	of	IN
20165	2001	22	the	the	DT
20165	2001	23	picture	picture	NN
20165	2001	24	and	and	CC
20165	2001	25	behind	behind	IN
20165	2001	26	the	the	DT
20165	2001	27	spectator	spectator	NN
20165	2001	28	(	(	-LRB-
20165	2001	29	Fig	fig	NN
20165	2001	30	.	.	.
20165	2002	1	276	276	CD
20165	2002	2	)	)	-RRB-
20165	2002	3	.	.	.
20165	2003	1	If	if	IN
20165	2003	2	we	-PRON-	PRP
20165	2003	3	transport	transport	VBP
20165	2003	4	the	the	DT
20165	2003	5	length	length	NN
20165	2003	6	_	_	NNP
20165	2003	7	L·f	L·f	NNP
20165	2003	8	·	·	NFP
20165	2003	9	_	_	XX
20165	2003	10	to	to	IN
20165	2003	11	the	the	DT
20165	2003	12	opposite	opposite	JJ
20165	2003	13	side	side	NN
20165	2003	14	and	and	CC
20165	2003	15	draw	draw	VB
20165	2003	16	the	the	DT
20165	2003	17	vertical	vertical	JJ
20165	2003	18	downwards	downwards	RB
20165	2003	19	from	from	IN
20165	2003	20	the	the	DT
20165	2003	21	horizon	horizon	NN
20165	2003	22	,	,	,
20165	2003	23	as	as	IN
20165	2003	24	at	at	IN
20165	2003	25	_	_	NNP
20165	2003	26	FL	FL	NNP
20165	2003	27	_	_	NNP
20165	2003	28	,	,	,
20165	2003	29	we	-PRON-	PRP
20165	2003	30	can	can	MD
20165	2003	31	then	then	RB
20165	2003	32	suppose	suppose	VB
20165	2003	33	point	point	NN
20165	2003	34	_	_	NNP
20165	2003	35	L	L	NNP
20165	2003	36	_	_	NNP
20165	2003	37	to	to	TO
20165	2003	38	be	be	VB
20165	2003	39	exactly	exactly	RB
20165	2003	40	opposite	opposite	IN
20165	2003	41	the	the	DT
20165	2003	42	sun	sun	NN
20165	2003	43	,	,	,
20165	2003	44	and	and	CC
20165	2003	45	if	if	IN
20165	2003	46	we	-PRON-	PRP
20165	2003	47	make	make	VBP
20165	2003	48	that	that	IN
20165	2003	49	the	the	DT
20165	2003	50	vanishing	vanish	VBG
20165	2003	51	point	point	NN
20165	2003	52	for	for	IN
20165	2003	53	the	the	DT
20165	2003	54	sun	sun	NN
20165	2003	55	's	's	POS
20165	2003	56	rays	ray	NNS
20165	2003	57	we	-PRON-	PRP
20165	2003	58	shall	shall	MD
20165	2003	59	find	find	VB
20165	2003	60	that	that	IN
20165	2003	61	we	-PRON-	PRP
20165	2003	62	obtain	obtain	VBP
20165	2003	63	precisely	precisely	RB
20165	2003	64	the	the	DT
20165	2003	65	same	same	JJ
20165	2003	66	result	result	NN
20165	2003	67	.	.	.
20165	2004	1	As	as	IN
20165	2004	2	in	in	IN
20165	2004	3	Fig	Fig	NNP
20165	2004	4	.	.	.
20165	2005	1	277	277	CD
20165	2005	2	,	,	,
20165	2005	3	if	if	IN
20165	2005	4	we	-PRON-	PRP
20165	2005	5	wish	wish	VBP
20165	2005	6	to	to	TO
20165	2005	7	find	find	VB
20165	2005	8	the	the	DT
20165	2005	9	length	length	NN
20165	2005	10	of	of	IN
20165	2005	11	_	_	NNP
20165	2005	12	C	C	NNP
20165	2005	13	_	_	NNP
20165	2005	14	,	,	,
20165	2005	15	which	which	WDT
20165	2005	16	we	-PRON-	PRP
20165	2005	17	may	may	MD
20165	2005	18	suppose	suppose	VB
20165	2005	19	to	to	TO
20165	2005	20	be	be	VB
20165	2005	21	the	the	DT
20165	2005	22	shadow	shadow	NN
20165	2005	23	of	of	IN
20165	2005	24	_	_	NNP
20165	2005	25	P	P	NNP
20165	2005	26	_	_	NNP
20165	2005	27	,	,	,
20165	2005	28	we	-PRON-	PRP
20165	2005	29	can	can	MD
20165	2005	30	either	either	CC
20165	2005	31	draw	draw	VB
20165	2005	32	a	a	DT
20165	2005	33	line	line	NN
20165	2005	34	from	from	IN
20165	2005	35	_	_	NNP
20165	2005	36	A	A	NNP
20165	2005	37	_	_	NNP
20165	2005	38	through	through	IN
20165	2005	39	_	_	NNP
20165	2005	40	O	O	NNP
20165	2005	41	_	_	NNP
20165	2005	42	to	to	IN
20165	2005	43	_	_	NNP
20165	2005	44	B	B	NNP
20165	2005	45	_	_	NNP
20165	2005	46	,	,	,
20165	2005	47	or	or	CC
20165	2005	48	from	from	IN
20165	2005	49	_	_	NNP
20165	2005	50	B	B	NNP
20165	2005	51	_	_	NNP
20165	2005	52	through	through	IN
20165	2005	53	_	_	NNP
20165	2005	54	O	O	NNP
20165	2005	55	_	_	NNP
20165	2005	56	to	to	IN
20165	2005	57	_	_	NNP
20165	2005	58	A	A	NNP
20165	2005	59	_	_	NNP
20165	2005	60	,	,	,
20165	2005	61	for	for	IN
20165	2005	62	the	the	DT
20165	2005	63	result	result	NN
20165	2005	64	is	be	VBZ
20165	2005	65	the	the	DT
20165	2005	66	same	same	JJ
20165	2005	67	.	.	.
20165	2006	1	And	and	CC
20165	2006	2	as	as	IN
20165	2006	3	we	-PRON-	PRP
20165	2006	4	can	can	MD
20165	2006	5	not	not	RB
20165	2006	6	make	make	VB
20165	2006	7	use	use	NN
20165	2006	8	of	of	IN
20165	2006	9	a	a	DT
20165	2006	10	point	point	NN
20165	2006	11	that	that	WDT
20165	2006	12	is	be	VBZ
20165	2006	13	behind	behind	IN
20165	2006	14	us	-PRON-	PRP
20165	2006	15	and	and	CC
20165	2006	16	out	out	IN
20165	2006	17	of	of	IN
20165	2006	18	the	the	DT
20165	2006	19	picture	picture	NN
20165	2006	20	,	,	,
20165	2006	21	we	-PRON-	PRP
20165	2006	22	have	have	VBP
20165	2006	23	to	to	TO
20165	2006	24	resort	resort	VB
20165	2006	25	to	to	IN
20165	2006	26	this	this	DT
20165	2006	27	very	very	RB
20165	2006	28	ingenious	ingenious	JJ
20165	2006	29	device	device	NN
20165	2006	30	.	.	.
20165	2007	1	[	[	-LRB-
20165	2007	2	Illustration	illustration	NN
20165	2007	3	:	:	:
20165	2007	4	Fig	Fig	NNP
20165	2007	5	.	.	.
20165	2008	1	277	277	CD
20165	2008	2	.	.	.
20165	2008	3	]	]	-RRB-
20165	2009	1	In	in	IN
20165	2009	2	Fig	Fig	NNP
20165	2009	3	.	.	.
20165	2010	1	276	276	CD
20165	2010	2	we	-PRON-	PRP
20165	2010	3	draw	draw	VBP
20165	2010	4	lines	line	NNS
20165	2010	5	L1	L1	NNP
20165	2010	6	,	,	,
20165	2010	7	L2	L2	NNP
20165	2010	8	,	,	,
20165	2010	9	L3	l3	NN
20165	2010	10	from	from	IN
20165	2010	11	the	the	DT
20165	2010	12	luminary	luminary	NN
20165	2010	13	to	to	IN
20165	2010	14	the	the	DT
20165	2010	15	top	top	NN
20165	2010	16	of	of	IN
20165	2010	17	the	the	DT
20165	2010	18	object	object	NN
20165	2010	19	to	to	TO
20165	2010	20	meet	meet	VB
20165	2010	21	those	those	DT
20165	2010	22	drawn	draw	VBN
20165	2010	23	from	from	IN
20165	2010	24	the	the	DT
20165	2010	25	foot	foot	NN
20165	2010	26	_	_	NNP
20165	2010	27	F	F	NNP
20165	2010	28	_	_	NNP
20165	2010	29	,	,	,
20165	2010	30	namely	namely	RB
20165	2010	31	F1	F1	NNP
20165	2010	32	,	,	,
20165	2010	33	F2	F2	NNP
20165	2010	34	,	,	,
20165	2010	35	F3	F3	NNP
20165	2010	36	,	,	,
20165	2010	37	in	in	IN
20165	2010	38	the	the	DT
20165	2010	39	same	same	JJ
20165	2010	40	way	way	NN
20165	2010	41	as	as	IN
20165	2010	42	in	in	IN
20165	2010	43	the	the	DT
20165	2010	44	figures	figure	NNS
20165	2010	45	we	-PRON-	PRP
20165	2010	46	have	have	VBP
20165	2010	47	already	already	RB
20165	2010	48	drawn	draw	VBN
20165	2010	49	.	.	.
20165	2011	1	[	[	-LRB-
20165	2011	2	Illustration	illustration	NN
20165	2011	3	:	:	:
20165	2011	4	Fig	Fig	NNP
20165	2011	5	.	.	.
20165	2012	1	278	278	CD
20165	2012	2	.	.	.
20165	2012	3	]	]	-RRB-
20165	2013	1	Fig	fig	NN
20165	2013	2	.	.	.
20165	2014	1	278	278	CD
20165	2014	2	gives	give	VBZ
20165	2014	3	further	further	JJ
20165	2014	4	illustration	illustration	NN
20165	2014	5	of	of	IN
20165	2014	6	this	this	DT
20165	2014	7	problem	problem	NN
20165	2014	8	.	.	.
20165	2015	1	CLV	clv	VB
20165	2015	2	THE	the	DT
20165	2015	3	SHADOW	shadow	NN
20165	2015	4	OF	of	IN
20165	2015	5	AN	an	DT
20165	2015	6	INCLINED	inclined	NN
20165	2015	7	PLANE	PLANE	VBN
20165	2015	8	The	the	DT
20165	2015	9	two	two	CD
20165	2015	10	portions	portion	NNS
20165	2015	11	of	of	IN
20165	2015	12	this	this	DT
20165	2015	13	inclined	incline	VBN
20165	2015	14	plane	plane	NN
20165	2015	15	which	which	WDT
20165	2015	16	cast	cast	VBD
20165	2015	17	the	the	DT
20165	2015	18	shadow	shadow	NN
20165	2015	19	are	be	VBP
20165	2015	20	first	first	RB
20165	2015	21	the	the	DT
20165	2015	22	side	side	NN
20165	2015	23	_	_	NNP
20165	2015	24	fbd	fbd	NNP
20165	2015	25	_	_	NNP
20165	2015	26	,	,	,
20165	2015	27	and	and	CC
20165	2015	28	second	second	RB
20165	2015	29	the	the	DT
20165	2015	30	farther	farther	JJ
20165	2015	31	end	end	NN
20165	2015	32	_	_	NNP
20165	2015	33	abcd	abcd	NN
20165	2015	34	_	_	NNP
20165	2015	35	.	.	.
20165	2016	1	The	the	DT
20165	2016	2	points	point	NNS
20165	2016	3	we	-PRON-	PRP
20165	2016	4	have	have	VBP
20165	2016	5	to	to	TO
20165	2016	6	find	find	VB
20165	2016	7	are	be	VBP
20165	2016	8	the	the	DT
20165	2016	9	shadows	shadow	NNS
20165	2016	10	of	of	IN
20165	2016	11	_	_	NNP
20165	2016	12	a	a	DT
20165	2016	13	_	_	NNP
20165	2016	14	and	and	CC
20165	2016	15	_	_	NNP
20165	2016	16	b	b	NNP
20165	2016	17	_	_	NNP
20165	2016	18	.	.	.
20165	2017	1	From	from	IN
20165	2017	2	luminary	luminary	JJ
20165	2017	3	_	_	NNP
20165	2017	4	L	L	NNP
20165	2017	5	_	_	NNP
20165	2017	6	draw	draw	NN
20165	2017	7	_	_	NNP
20165	2017	8	La	La	NNP
20165	2017	9	_	_	NNP
20165	2017	10	,	,	,
20165	2017	11	_	_	NNP
20165	2017	12	Lb	Lb	NNP
20165	2017	13	_	_	NNP
20165	2017	14	,	,	,
20165	2017	15	and	and	CC
20165	2017	16	from	from	IN
20165	2017	17	_	_	NNP
20165	2017	18	F	F	NNP
20165	2017	19	_	_	NNP
20165	2017	20	,	,	,
20165	2017	21	the	the	DT
20165	2017	22	foot	foot	NN
20165	2017	23	,	,	,
20165	2017	24	draw	draw	VB
20165	2017	25	_	_	NNP
20165	2017	26	Fc	Fc	NNP
20165	2017	27	_	_	NNP
20165	2017	28	,	,	,
20165	2017	29	_	_	NNP
20165	2017	30	Fd	Fd	NNP
20165	2017	31	_	_	NNP
20165	2017	32	.	.	.
20165	2018	1	The	the	DT
20165	2018	2	intersection	intersection	NN
20165	2018	3	of	of	IN
20165	2018	4	these	these	DT
20165	2018	5	lines	line	NNS
20165	2018	6	will	will	MD
20165	2018	7	be	be	VB
20165	2018	8	at	at	IN
20165	2018	9	_	_	NNP
20165	2018	10	a·b	a·b	NNP
20165	2018	11	·	·	NFP
20165	2018	12	_	_	NNP
20165	2018	13	.	.	.
20165	2019	1	If	if	IN
20165	2019	2	we	-PRON-	PRP
20165	2019	3	join	join	VBP
20165	2019	4	_	_	NNP
20165	2019	5	fb	fb	NNP
20165	2019	6	·	·	NFP
20165	2019	7	_	_	NNP
20165	2019	8	and	and	CC
20165	2019	9	_	_	NNP
20165	2019	10	db	db	NNP
20165	2019	11	·	·	NFP
20165	2019	12	_	_	NNP
20165	2019	13	we	-PRON-	PRP
20165	2019	14	have	have	VBP
20165	2019	15	the	the	DT
20165	2019	16	shadow	shadow	NN
20165	2019	17	of	of	IN
20165	2019	18	the	the	DT
20165	2019	19	side	side	NN
20165	2019	20	_	_	NNP
20165	2019	21	fbd	fbd	NNP
20165	2019	22	_	_	NNP
20165	2019	23	,	,	,
20165	2019	24	and	and	CC
20165	2019	25	if	if	IN
20165	2019	26	we	-PRON-	PRP
20165	2019	27	join	join	VBP
20165	2019	28	_	_	NNP
20165	2019	29	ca	ca	MD
20165	2019	30	·	·	NFP
20165	2019	31	_	_	NNP
20165	2019	32	and	and	CC
20165	2019	33	_	_	NNP
20165	2019	34	a·b	a·b	NNP
20165	2019	35	·	·	NFP
20165	2019	36	_	_	NNP
20165	2019	37	we	-PRON-	PRP
20165	2019	38	have	have	VBP
20165	2019	39	the	the	DT
20165	2019	40	shadow	shadow	NN
20165	2019	41	of	of	IN
20165	2019	42	_	_	NNP
20165	2019	43	abcd	abcd	NNP
20165	2019	44	_	_	NNP
20165	2019	45	,	,	,
20165	2019	46	which	which	WDT
20165	2019	47	together	together	RB
20165	2019	48	form	form	VBP
20165	2019	49	that	that	DT
20165	2019	50	of	of	IN
20165	2019	51	the	the	DT
20165	2019	52	figure	figure	NN
20165	2019	53	.	.	.
20165	2020	1	[	[	-LRB-
20165	2020	2	Illustration	illustration	NN
20165	2020	3	:	:	:
20165	2020	4	Fig	Fig	NNP
20165	2020	5	.	.	.
20165	2021	1	279	279	CD
20165	2021	2	.	.	.
20165	2021	3	]	]	-RRB-
20165	2022	1	CLVI	clvi	JJ
20165	2022	2	SHADOW	shadow	NN
20165	2022	3	ON	on	IN
20165	2022	4	A	a	DT
20165	2022	5	ROOF	roof	NN
20165	2022	6	OR	or	CC
20165	2022	7	INCLINED	inclined	NN
20165	2022	8	PLANE	PLANE	VBN
20165	2022	9	To	to	TO
20165	2022	10	draw	draw	VB
20165	2022	11	the	the	DT
20165	2022	12	shadow	shadow	NN
20165	2022	13	of	of	IN
20165	2022	14	the	the	DT
20165	2022	15	figure	figure	NN
20165	2022	16	_	_	NNP
20165	2022	17	M	M	NNP
20165	2022	18	_	_	NNP
20165	2022	19	on	on	IN
20165	2022	20	the	the	DT
20165	2022	21	inclined	inclined	JJ
20165	2022	22	plane	plane	NN
20165	2022	23	_	_	NNP
20165	2022	24	K	K	NNP
20165	2022	25	_	_	NNP
20165	2022	26	(	(	-LRB-
20165	2022	27	or	or	CC
20165	2022	28	a	a	DT
20165	2022	29	chimney	chimney	NN
20165	2022	30	on	on	IN
20165	2022	31	a	a	DT
20165	2022	32	roof	roof	NN
20165	2022	33	)	)	-RRB-
20165	2022	34	.	.	.
20165	2023	1	First	first	RB
20165	2023	2	find	find	VB
20165	2023	3	the	the	DT
20165	2023	4	vanishing	vanish	VBG
20165	2023	5	point	point	NN
20165	2023	6	_	_	NNP
20165	2023	7	P	P	NNP
20165	2023	8	_	_	NNP
20165	2023	9	of	of	IN
20165	2023	10	the	the	DT
20165	2023	11	inclined	incline	VBN
20165	2023	12	plane	plane	NN
20165	2023	13	and	and	CC
20165	2023	14	draw	draw	VB
20165	2023	15	horizontal	horizontal	NNP
20165	2023	16	_	_	NNP
20165	2023	17	PF	PF	NNP
20165	2023	18	_	_	NNP
20165	2023	19	to	to	TO
20165	2023	20	meet	meet	VB
20165	2023	21	vertical	vertical	JJ
20165	2023	22	raised	raise	VBN
20165	2023	23	from	from	IN
20165	2023	24	_	_	NNP
20165	2023	25	L	L	NNP
20165	2023	26	_	_	NNP
20165	2023	27	,	,	,
20165	2023	28	the	the	DT
20165	2023	29	luminary	luminary	NN
20165	2023	30	.	.	.
20165	2024	1	Then	then	RB
20165	2024	2	_	_	NNP
20165	2024	3	F	F	NNP
20165	2024	4	_	_	NNP
20165	2024	5	will	will	MD
20165	2024	6	be	be	VB
20165	2024	7	the	the	DT
20165	2024	8	vanishing	vanish	VBG
20165	2024	9	point	point	NN
20165	2024	10	of	of	IN
20165	2024	11	the	the	DT
20165	2024	12	shadow	shadow	NN
20165	2024	13	.	.	.
20165	2025	1	From	from	IN
20165	2025	2	_	_	NNP
20165	2025	3	L	L	NNP
20165	2025	4	_	_	NNP
20165	2025	5	draw	draw	VBP
20165	2025	6	L1	L1	NNP
20165	2025	7	,	,	,
20165	2025	8	L2	L2	NNP
20165	2025	9	,	,	,
20165	2025	10	L3	l3	NN
20165	2025	11	to	to	IN
20165	2025	12	top	top	NN
20165	2025	13	of	of	IN
20165	2025	14	figure	figure	NN
20165	2025	15	_	_	NNP
20165	2025	16	M	M	NNP
20165	2025	17	_	_	NNP
20165	2025	18	,	,	,
20165	2025	19	and	and	CC
20165	2025	20	from	from	IN
20165	2025	21	the	the	DT
20165	2025	22	base	base	NN
20165	2025	23	of	of	IN
20165	2025	24	_	_	NNP
20165	2025	25	M	M	NNP
20165	2025	26	_	_	NNP
20165	2025	27	draw	draw	VB
20165	2025	28	1F	1F	NNP
20165	2025	29	,	,	,
20165	2025	30	2F	2F	NNP
20165	2025	31	,	,	,
20165	2025	32	3F	3F	NNP
20165	2025	33	to	to	IN
20165	2025	34	_	_	NNP
20165	2025	35	F	F	NNP
20165	2025	36	_	_	NNP
20165	2025	37	,	,	,
20165	2025	38	the	the	DT
20165	2025	39	vanishing	vanish	VBG
20165	2025	40	point	point	NN
20165	2025	41	of	of	IN
20165	2025	42	the	the	DT
20165	2025	43	shadow	shadow	NN
20165	2025	44	.	.	.
20165	2026	1	The	the	DT
20165	2026	2	intersections	intersection	NNS
20165	2026	3	of	of	IN
20165	2026	4	these	these	DT
20165	2026	5	lines	line	NNS
20165	2026	6	at	at	IN
20165	2026	7	1	1	CD
20165	2026	8	,	,	,
20165	2026	9	2	2	CD
20165	2026	10	,	,	,
20165	2026	11	3	3	CD
20165	2026	12	on	on	IN
20165	2026	13	_	_	NNP
20165	2026	14	K	K	NNP
20165	2026	15	_	_	NNP
20165	2026	16	will	will	MD
20165	2026	17	determine	determine	VB
20165	2026	18	the	the	DT
20165	2026	19	length	length	NN
20165	2026	20	and	and	CC
20165	2026	21	form	form	NN
20165	2026	22	of	of	IN
20165	2026	23	the	the	DT
20165	2026	24	shadow	shadow	NN
20165	2026	25	.	.	.
20165	2027	1	[	[	-LRB-
20165	2027	2	Illustration	illustration	NN
20165	2027	3	:	:	:
20165	2027	4	Fig	Fig	NNP
20165	2027	5	.	.	.
20165	2028	1	280	280	CD
20165	2028	2	.	.	.
20165	2028	3	]	]	-RRB-
20165	2029	1	CLVII	CLVII	NNP
20165	2029	2	TO	to	TO
20165	2029	3	FIND	find	VB
20165	2029	4	THE	the	DT
20165	2029	5	SHADOW	shadow	NN
20165	2029	6	OF	of	IN
20165	2029	7	A	a	DT
20165	2029	8	PROJECTION	projection	NN
20165	2029	9	OR	or	CC
20165	2029	10	BALCONY	balcony	NN
20165	2029	11	ON	on	IN
20165	2029	12	A	a	DT
20165	2029	13	WALL	WALL	NNP
20165	2029	14	To	to	TO
20165	2029	15	find	find	VB
20165	2029	16	the	the	DT
20165	2029	17	shadow	shadow	NN
20165	2029	18	of	of	IN
20165	2029	19	the	the	DT
20165	2029	20	object	object	NN
20165	2029	21	_	_	NNP
20165	2029	22	K	K	NNP
20165	2029	23	_	_	NNP
20165	2029	24	on	on	IN
20165	2029	25	the	the	DT
20165	2029	26	wall	wall	NN
20165	2029	27	_	_	NNP
20165	2029	28	W	W	NNP
20165	2029	29	_	_	NNP
20165	2029	30	,	,	,
20165	2029	31	drop	drop	NN
20165	2029	32	verticals	vertical	NNS
20165	2029	33	_	_	NNP
20165	2029	34	OO	OO	NNP
20165	2029	35	_	_	NNP
20165	2029	36	till	till	IN
20165	2029	37	they	-PRON-	PRP
20165	2029	38	meet	meet	VBP
20165	2029	39	the	the	DT
20165	2029	40	base	base	NN
20165	2029	41	line	line	NN
20165	2029	42	_	_	NNP
20165	2029	43	B·B	B·B	NNP
20165	2029	44	·	·	NFP
20165	2029	45	_	_	NNP
20165	2029	46	of	of	IN
20165	2029	47	the	the	DT
20165	2029	48	wall	wall	NN
20165	2029	49	.	.	.
20165	2030	1	Then	then	RB
20165	2030	2	from	from	IN
20165	2030	3	the	the	DT
20165	2030	4	point	point	NN
20165	2030	5	of	of	IN
20165	2030	6	sight	sight	NN
20165	2030	7	_	_	NNP
20165	2030	8	S	S	NNP
20165	2030	9	_	_	NNP
20165	2030	10	draw	draw	VBP
20165	2030	11	lines	line	NNS
20165	2030	12	through	through	IN
20165	2030	13	_	_	NNP
20165	2030	14	OO	OO	NNP
20165	2030	15	_	_	NNP
20165	2030	16	,	,	,
20165	2030	17	also	also	RB
20165	2030	18	drop	drop	VB
20165	2030	19	verticals	vertical	NNS
20165	2030	20	_	_	NNP
20165	2030	21	Dd	Dd	NNP
20165	2030	22	·	·	NFP
20165	2030	23	_	_	NNP
20165	2030	24	,	,	,
20165	2030	25	_	_	NNP
20165	2030	26	Cc	Cc	NNP
20165	2030	27	·	·	NFP
20165	2030	28	_	_	NNP
20165	2030	29	,	,	,
20165	2030	30	to	to	TO
20165	2030	31	meet	meet	VB
20165	2030	32	these	these	DT
20165	2030	33	lines	line	NNS
20165	2030	34	in	in	IN
20165	2030	35	_	_	NNP
20165	2030	36	d·c	d·c	NN
20165	2030	37	·	·	NFP
20165	2030	38	_	_	NNP
20165	2030	39	;	;	:
20165	2030	40	draw	draw	NNP
20165	2030	41	_	_	NNP
20165	2030	42	c·F	c·F	NNP
20165	2030	43	_	_	NNP
20165	2030	44	and	and	CC
20165	2030	45	_	_	NNP
20165	2030	46	d·F	d·F	NNP
20165	2030	47	_	_	NNP
20165	2030	48	to	to	TO
20165	2030	49	foot	foot	NN
20165	2030	50	of	of	IN
20165	2030	51	luminary	luminary	NN
20165	2030	52	.	.	.
20165	2031	1	From	from	IN
20165	2031	2	the	the	DT
20165	2031	3	points	point	NNS
20165	2031	4	_	_	NNP
20165	2031	5	xx	xx	NNP
20165	2031	6	_	_	NNP
20165	2031	7	where	where	WRB
20165	2031	8	these	these	DT
20165	2031	9	lines	line	NNS
20165	2031	10	cut	cut	VBD
20165	2031	11	the	the	DT
20165	2031	12	base	base	NN
20165	2031	13	_	_	NNP
20165	2031	14	B	B	NNP
20165	2031	15	_	_	NNP
20165	2031	16	raise	raise	VB
20165	2031	17	perpendiculars	perpendicular	NNS
20165	2031	18	_	_	NNP
20165	2031	19	xa	xa	NNP
20165	2031	20	·	·	NFP
20165	2031	21	_	_	NNP
20165	2031	22	,	,	,
20165	2031	23	_	_	NNP
20165	2031	24	xb	xb	NNP
20165	2031	25	·	·	NFP
20165	2031	26	_	_	NNP
20165	2031	27	.	.	.
20165	2032	1	From	from	IN
20165	2032	2	_	_	NNP
20165	2032	3	D	D	NNP
20165	2032	4	_	_	NNP
20165	2032	5	,	,	,
20165	2032	6	_	_	NNP
20165	2032	7	A	A	NNP
20165	2032	8	_	_	NNP
20165	2032	9	,	,	,
20165	2032	10	and	and	CC
20165	2032	11	_	_	NNP
20165	2032	12	B	B	NNP
20165	2032	13	_	_	NNP
20165	2032	14	draw	draw	VBP
20165	2032	15	lines	line	NNS
20165	2032	16	to	to	IN
20165	2032	17	the	the	DT
20165	2032	18	luminary	luminary	JJ
20165	2032	19	_	_	NNP
20165	2032	20	L	L	NNP
20165	2032	21	_	_	NNP
20165	2032	22	.	.	.
20165	2033	1	These	these	DT
20165	2033	2	lines	line	NNS
20165	2033	3	or	or	CC
20165	2033	4	rays	ray	NNS
20165	2033	5	intersecting	intersect	VBG
20165	2033	6	the	the	DT
20165	2033	7	verticals	vertical	NNS
20165	2033	8	raised	raise	VBN
20165	2033	9	from	from	IN
20165	2033	10	_	_	NNP
20165	2033	11	xx	xx	NNP
20165	2033	12	_	_	NNP
20165	2033	13	at	at	IN
20165	2033	14	_	_	NNP
20165	2033	15	a·b	a·b	NNP
20165	2033	16	·	·	NFP
20165	2033	17	_	_	NNP
20165	2033	18	will	will	MD
20165	2033	19	give	give	VB
20165	2033	20	the	the	DT
20165	2033	21	respective	respective	JJ
20165	2033	22	points	point	NNS
20165	2033	23	of	of	IN
20165	2033	24	the	the	DT
20165	2033	25	shadow	shadow	NN
20165	2033	26	.	.	.
20165	2034	1	[	[	-LRB-
20165	2034	2	Illustration	illustration	NN
20165	2034	3	:	:	:
20165	2034	4	Fig	Fig	NNP
20165	2034	5	.	.	.
20165	2035	1	281	281	CD
20165	2035	2	.	.	.
20165	2035	3	]	]	-RRB-
20165	2036	1	The	the	DT
20165	2036	2	shadow	shadow	NN
20165	2036	3	of	of	IN
20165	2036	4	the	the	DT
20165	2036	5	eave	eave	NN
20165	2036	6	of	of	IN
20165	2036	7	a	a	DT
20165	2036	8	roof	roof	NN
20165	2036	9	can	can	MD
20165	2036	10	be	be	VB
20165	2036	11	obtained	obtain	VBN
20165	2036	12	in	in	IN
20165	2036	13	the	the	DT
20165	2036	14	same	same	JJ
20165	2036	15	way	way	NN
20165	2036	16	.	.	.
20165	2037	1	Take	take	VB
20165	2037	2	any	any	DT
20165	2037	3	point	point	NN
20165	2037	4	thereon	thereon	NN
20165	2037	5	,	,	,
20165	2037	6	mark	mark	VB
20165	2037	7	its	-PRON-	PRP$
20165	2037	8	trace	trace	NN
20165	2037	9	on	on	IN
20165	2037	10	the	the	DT
20165	2037	11	ground	ground	NN
20165	2037	12	,	,	,
20165	2037	13	and	and	CC
20165	2037	14	then	then	RB
20165	2037	15	proceed	proceed	VB
20165	2037	16	as	as	IN
20165	2037	17	above	above	RB
20165	2037	18	.	.	.
20165	2038	1	CLVIII	CLVIII	NNP
20165	2038	2	SHADOW	shadow	VBP
20165	2038	3	ON	on	IN
20165	2038	4	A	a	DT
20165	2038	5	RETREATING	retreat	VBG
20165	2038	6	WALL	WALL	NNP
20165	2038	7	,	,	,
20165	2038	8	SUN	SUN	NNP
20165	2038	9	IN	in	IN
20165	2038	10	FRONT	front	NN
20165	2038	11	Let	let	NN
20165	2038	12	_	_	NNP
20165	2038	13	L	L	NNP
20165	2038	14	_	_	NNP
20165	2038	15	be	be	VB
20165	2038	16	the	the	DT
20165	2038	17	luminary	luminary	JJ
20165	2038	18	.	.	.
20165	2039	1	Raise	raise	VB
20165	2039	2	vertical	vertical	JJ
20165	2039	3	_	_	NNP
20165	2039	4	LF	LF	NNP
20165	2039	5	_	_	NNP
20165	2039	6	.	.	.
20165	2040	1	_	_	NNP
20165	2040	2	F	F	NNP
20165	2040	3	_	_	NNP
20165	2040	4	will	will	MD
20165	2040	5	be	be	VB
20165	2040	6	the	the	DT
20165	2040	7	vanishing	vanish	VBG
20165	2040	8	point	point	NN
20165	2040	9	of	of	IN
20165	2040	10	the	the	DT
20165	2040	11	shadows	shadow	NNS
20165	2040	12	on	on	IN
20165	2040	13	the	the	DT
20165	2040	14	ground	ground	NN
20165	2040	15	.	.	.
20165	2041	1	Draw	draw	VB
20165	2041	2	_	_	NNP
20165	2041	3	Lf	Lf	NNP
20165	2041	4	·	·	NFP
20165	2041	5	_	_	NNP
20165	2041	6	parallel	parallel	NN
20165	2041	7	to	to	IN
20165	2041	8	_	_	NNP
20165	2041	9	FS	FS	NNP
20165	2041	10	_	_	NNP
20165	2041	11	.	.	.
20165	2042	1	Drop	Drop	NNP
20165	2042	2	_	_	NNP
20165	2042	3	Sf	Sf	NNP
20165	2042	4	·	·	NFP
20165	2042	5	_	_	XX
20165	2042	6	from	from	IN
20165	2042	7	point	point	NN
20165	2042	8	of	of	IN
20165	2042	9	sight	sight	NN
20165	2042	10	;	;	:
20165	2042	11	_	_	NNP
20165	2042	12	f	f	NNP
20165	2042	13	·	·	NFP
20165	2042	14	_	_	NNP
20165	2042	15	(	(	-LRB-
20165	2042	16	so	so	RB
20165	2042	17	found	find	VBN
20165	2042	18	)	)	-RRB-
20165	2042	19	is	be	VBZ
20165	2042	20	the	the	DT
20165	2042	21	vanishing	vanish	VBG
20165	2042	22	point	point	NN
20165	2042	23	of	of	IN
20165	2042	24	the	the	DT
20165	2042	25	shadows	shadow	NNS
20165	2042	26	on	on	IN
20165	2042	27	the	the	DT
20165	2042	28	wall	wall	NN
20165	2042	29	.	.	.
20165	2043	1	For	for	IN
20165	2043	2	shadow	shadow	NN
20165	2043	3	of	of	IN
20165	2043	4	roof	roof	NN
20165	2043	5	draw	draw	NN
20165	2043	6	_	_	NNP
20165	2043	7	LE	LE	NNP
20165	2043	8	_	_	NNP
20165	2043	9	and	and	CC
20165	2043	10	_	_	NNP
20165	2043	11	f·B	f·B	NNPS
20165	2043	12	_	_	NNP
20165	2043	13	,	,	,
20165	2043	14	giving	give	VBG
20165	2043	15	us	-PRON-	PRP
20165	2043	16	_	_	NNP
20165	2043	17	e	e	NNP
20165	2043	18	_	_	NNP
20165	2043	19	,	,	,
20165	2043	20	the	the	DT
20165	2043	21	shadow	shadow	NN
20165	2043	22	of	of	IN
20165	2043	23	_	_	NNP
20165	2043	24	E	E	NNP
20165	2043	25	_	_	NNP
20165	2043	26	.	.	.
20165	2044	1	Join	join	VB
20165	2044	2	_	_	NNP
20165	2044	3	Be	be	VB
20165	2044	4	_	_	NNP
20165	2044	5	,	,	,
20165	2044	6	&	&	CC
20165	2044	7	c.	c.	NNP
20165	2044	8	,	,	,
20165	2044	9	and	and	CC
20165	2044	10	so	so	RB
20165	2044	11	draw	draw	VB
20165	2044	12	shadow	shadow	NN
20165	2044	13	of	of	IN
20165	2044	14	eave	eave	NN
20165	2044	15	of	of	IN
20165	2044	16	roof	roof	NN
20165	2044	17	.	.	.
20165	2045	1	[	[	-LRB-
20165	2045	2	Illustration	illustration	NN
20165	2045	3	:	:	:
20165	2045	4	Fig	Fig	NNP
20165	2045	5	.	.	.
20165	2046	1	282	282	CD
20165	2046	2	.	.	.
20165	2046	3	]	]	-RRB-
20165	2047	1	For	for	IN
20165	2047	2	shadow	shadow	NN
20165	2047	3	of	of	IN
20165	2047	4	_	_	NNP
20165	2047	5	K	K	NNP
20165	2047	6	_	_	NNP
20165	2047	7	draw	draw	VBP
20165	2047	8	lines	line	NNS
20165	2047	9	from	from	IN
20165	2047	10	luminary	luminary	JJ
20165	2047	11	_	_	NNP
20165	2047	12	L	L	NNP
20165	2047	13	_	_	NNP
20165	2047	14	to	to	TO
20165	2047	15	meet	meet	VB
20165	2047	16	those	those	DT
20165	2047	17	from	from	IN
20165	2047	18	_	_	NNP
20165	2047	19	f	f	NNP
20165	2047	20	·	·	NFP
20165	2047	21	_	_	NNP
20165	2047	22	the	the	DT
20165	2047	23	foot	foot	NN
20165	2047	24	,	,	,
20165	2047	25	&	&	CC
20165	2047	26	c.	c.	NNP
20165	2047	27	The	the	DT
20165	2047	28	shadow	shadow	NN
20165	2047	29	of	of	IN
20165	2047	30	_	_	NNP
20165	2047	31	D	D	NNP
20165	2047	32	_	_	NNP
20165	2047	33	over	over	IN
20165	2047	34	the	the	DT
20165	2047	35	door	door	NN
20165	2047	36	is	be	VBZ
20165	2047	37	found	find	VBN
20165	2047	38	in	in	IN
20165	2047	39	a	a	DT
20165	2047	40	similar	similar	JJ
20165	2047	41	way	way	NN
20165	2047	42	to	to	IN
20165	2047	43	that	that	DT
20165	2047	44	of	of	IN
20165	2047	45	the	the	DT
20165	2047	46	roof	roof	NN
20165	2047	47	.	.	.
20165	2048	1	[	[	-LRB-
20165	2048	2	Illustration	illustration	NN
20165	2048	3	:	:	:
20165	2048	4	Fig	Fig	NNP
20165	2048	5	.	.	.
20165	2049	1	283	283	CD
20165	2049	2	.	.	.
20165	2049	3	]	]	-RRB-
20165	2050	1	Figure	figure	NN
20165	2050	2	283	283	CD
20165	2050	3	shows	show	VBZ
20165	2050	4	how	how	WRB
20165	2050	5	the	the	DT
20165	2050	6	shadow	shadow	NN
20165	2050	7	of	of	IN
20165	2050	8	the	the	DT
20165	2050	9	old	old	JJ
20165	2050	10	man	man	NN
20165	2050	11	in	in	IN
20165	2050	12	the	the	DT
20165	2050	13	preceding	precede	VBG
20165	2050	14	drawing	drawing	NN
20165	2050	15	is	be	VBZ
20165	2050	16	found	find	VBN
20165	2050	17	.	.	.
20165	2051	1	CLIX	CLIX	NNP
20165	2051	2	SHADOW	shadow	NN
20165	2051	3	OF	of	IN
20165	2051	4	AN	an	DT
20165	2051	5	ARCH	ARCH	NNS
20165	2051	6	,	,	,
20165	2051	7	SUN	SUN	NNP
20165	2051	8	IN	in	IN
20165	2051	9	FRONT	front	NN
20165	2051	10	Having	have	VBG
20165	2051	11	drawn	draw	VBN
20165	2051	12	the	the	DT
20165	2051	13	arch	arch	NN
20165	2051	14	,	,	,
20165	2051	15	divide	divide	VB
20165	2051	16	it	-PRON-	PRP
20165	2051	17	into	into	IN
20165	2051	18	a	a	DT
20165	2051	19	certain	certain	JJ
20165	2051	20	number	number	NN
20165	2051	21	of	of	IN
20165	2051	22	parts	part	NNS
20165	2051	23	,	,	,
20165	2051	24	say	say	VB
20165	2051	25	five	five	CD
20165	2051	26	.	.	.
20165	2052	1	From	from	IN
20165	2052	2	these	these	DT
20165	2052	3	divisions	division	NNS
20165	2052	4	drop	drop	VB
20165	2052	5	perpendiculars	perpendicular	NNS
20165	2052	6	to	to	TO
20165	2052	7	base	base	VB
20165	2052	8	line	line	NN
20165	2052	9	.	.	.
20165	2053	1	From	from	IN
20165	2053	2	divisions	division	NNS
20165	2053	3	on	on	IN
20165	2053	4	_	_	NNP
20165	2053	5	AB	AB	NNP
20165	2053	6	_	_	NNP
20165	2053	7	draw	draw	VBP
20165	2053	8	lines	line	NNS
20165	2053	9	to	to	IN
20165	2053	10	_	_	NNP
20165	2053	11	F	F	NNP
20165	2053	12	_	_	NNP
20165	2053	13	the	the	DT
20165	2053	14	foot	foot	NN
20165	2053	15	,	,	,
20165	2053	16	and	and	CC
20165	2053	17	from	from	IN
20165	2053	18	those	those	DT
20165	2053	19	on	on	IN
20165	2053	20	the	the	DT
20165	2053	21	semicircle	semicircle	NN
20165	2053	22	draw	draw	NN
20165	2053	23	lines	line	NNS
20165	2053	24	to	to	IN
20165	2053	25	_	_	NNP
20165	2053	26	L	L	NNP
20165	2053	27	_	_	NNP
20165	2053	28	the	the	DT
20165	2053	29	luminary	luminary	NN
20165	2053	30	.	.	.
20165	2054	1	Their	-PRON-	PRP$
20165	2054	2	intersections	intersection	NNS
20165	2054	3	will	will	MD
20165	2054	4	give	give	VB
20165	2054	5	the	the	DT
20165	2054	6	points	point	NNS
20165	2054	7	through	through	IN
20165	2054	8	which	which	WDT
20165	2054	9	to	to	TO
20165	2054	10	draw	draw	VB
20165	2054	11	the	the	DT
20165	2054	12	shadow	shadow	NN
20165	2054	13	of	of	IN
20165	2054	14	the	the	DT
20165	2054	15	arch	arch	NN
20165	2054	16	.	.	.
20165	2055	1	[	[	-LRB-
20165	2055	2	Illustration	illustration	NN
20165	2055	3	:	:	:
20165	2055	4	Fig	Fig	NNP
20165	2055	5	.	.	.
20165	2056	1	284	284	CD
20165	2056	2	.	.	.
20165	2056	3	]	]	-RRB-
20165	2057	1	CLX	CLX	NNP
20165	2057	2	SHADOW	shadow	VBP
20165	2057	3	IN	in	IN
20165	2057	4	A	a	DT
20165	2057	5	NICHE	niche	NN
20165	2057	6	OR	or	CC
20165	2057	7	RECESS	recess	NN
20165	2057	8	In	in	IN
20165	2057	9	this	this	DT
20165	2057	10	figure	figure	NN
20165	2057	11	a	a	DT
20165	2057	12	similar	similar	JJ
20165	2057	13	method	method	NN
20165	2057	14	to	to	IN
20165	2057	15	that	that	DT
20165	2057	16	just	just	RB
20165	2057	17	explained	explain	VBN
20165	2057	18	is	be	VBZ
20165	2057	19	adopted	adopt	VBN
20165	2057	20	.	.	.
20165	2058	1	Drop	drop	VB
20165	2058	2	perpendiculars	perpendicular	NNS
20165	2058	3	from	from	IN
20165	2058	4	the	the	DT
20165	2058	5	divisions	division	NNS
20165	2058	6	of	of	IN
20165	2058	7	the	the	DT
20165	2058	8	arch	arch	NN
20165	2058	9	1	1	CD
20165	2058	10	2	2	CD
20165	2058	11	3	3	CD
20165	2058	12	to	to	IN
20165	2058	13	the	the	DT
20165	2058	14	base	base	NN
20165	2058	15	.	.	.
20165	2059	1	From	from	IN
20165	2059	2	the	the	DT
20165	2059	3	foot	foot	NN
20165	2059	4	of	of	IN
20165	2059	5	each	each	DT
20165	2059	6	draw	draw	NN
20165	2059	7	1S	1s	NN
20165	2059	8	,	,	,
20165	2059	9	2S	2s	NN
20165	2059	10	,	,	,
20165	2059	11	3S	3s	RB
20165	2059	12	to	to	TO
20165	2059	13	foot	foot	NN
20165	2059	14	of	of	IN
20165	2059	15	luminary	luminary	JJ
20165	2059	16	_	_	NNP
20165	2059	17	S	S	NNP
20165	2059	18	_	_	NNP
20165	2059	19	,	,	,
20165	2059	20	and	and	CC
20165	2059	21	from	from	IN
20165	2059	22	the	the	DT
20165	2059	23	top	top	NN
20165	2059	24	of	of	IN
20165	2059	25	each	each	DT
20165	2059	26	,	,	,
20165	2059	27	A	a	DT
20165	2059	28	1	1	CD
20165	2059	29	2	2	CD
20165	2059	30	3	3	CD
20165	2059	31	B	b	NN
20165	2059	32	,	,	,
20165	2059	33	draw	draw	VB
20165	2059	34	lines	line	NNS
20165	2059	35	to	to	IN
20165	2059	36	_	_	NNP
20165	2059	37	L	L	NNP
20165	2059	38	_	_	NNP
20165	2059	39	as	as	IN
20165	2059	40	before	before	RB
20165	2059	41	.	.	.
20165	2060	1	Where	where	WRB
20165	2060	2	the	the	DT
20165	2060	3	former	former	JJ
20165	2060	4	intersect	intersect	NN
20165	2060	5	the	the	DT
20165	2060	6	curve	curve	NN
20165	2060	7	on	on	IN
20165	2060	8	the	the	DT
20165	2060	9	floor	floor	NN
20165	2060	10	of	of	IN
20165	2060	11	the	the	DT
20165	2060	12	niche	niche	NN
20165	2060	13	raise	raise	NN
20165	2060	14	verticals	vertical	NNS
20165	2060	15	to	to	TO
20165	2060	16	meet	meet	VB
20165	2060	17	the	the	DT
20165	2060	18	latter	latter	JJ
20165	2060	19	at	at	IN
20165	2060	20	P	p	NN
20165	2060	21	1	1	CD
20165	2060	22	2	2	CD
20165	2060	23	B	B	NNP
20165	2060	24	,	,	,
20165	2060	25	&	&	CC
20165	2060	26	c.	c.	NN
20165	2060	27	These	these	DT
20165	2060	28	points	point	NNS
20165	2060	29	will	will	MD
20165	2060	30	indicate	indicate	VB
20165	2060	31	about	about	IN
20165	2060	32	the	the	DT
20165	2060	33	position	position	NN
20165	2060	34	of	of	IN
20165	2060	35	the	the	DT
20165	2060	36	shadow	shadow	NN
20165	2060	37	;	;	:
20165	2060	38	but	but	CC
20165	2060	39	the	the	DT
20165	2060	40	niche	niche	NN
20165	2060	41	being	be	VBG
20165	2060	42	semicircular	semicircular	JJ
20165	2060	43	and	and	CC
20165	2060	44	domed	dome	VBD
20165	2060	45	at	at	IN
20165	2060	46	the	the	DT
20165	2060	47	top	top	NN
20165	2060	48	the	the	DT
20165	2060	49	shadow	shadow	NN
20165	2060	50	gradually	gradually	RB
20165	2060	51	loses	lose	VBZ
20165	2060	52	itself	-PRON-	PRP
20165	2060	53	in	in	IN
20165	2060	54	a	a	DT
20165	2060	55	gradated	gradated	JJ
20165	2060	56	and	and	CC
20165	2060	57	somewhat	somewhat	RB
20165	2060	58	serpentine	serpentine	JJ
20165	2060	59	half	half	JJ
20165	2060	60	-	-	HYPH
20165	2060	61	tone	tone	NN
20165	2060	62	.	.	.
20165	2061	1	[	[	-LRB-
20165	2061	2	Illustration	illustration	NN
20165	2061	3	:	:	:
20165	2061	4	Fig	Fig	NNP
20165	2061	5	.	.	.
20165	2062	1	285	285	CD
20165	2062	2	.	.	.
20165	2062	3	]	]	-RRB-
20165	2063	1	CLXI	CLXI	NNP
20165	2063	2	SHADOW	SHADOW	NNP
20165	2063	3	IN	in	IN
20165	2063	4	AN	an	DT
20165	2063	5	ARCHED	arched	NN
20165	2063	6	DOORWAY	doorway	NN
20165	2063	7	[	[	-LRB-
20165	2063	8	Illustration	illustration	NN
20165	2063	9	:	:	:
20165	2063	10	Fig	Fig	NNP
20165	2063	11	.	.	.
20165	2064	1	286	286	CD
20165	2064	2	.	.	.
20165	2064	3	]	]	-RRB-
20165	2065	1	This	this	DT
20165	2065	2	is	be	VBZ
20165	2065	3	so	so	RB
20165	2065	4	similar	similar	JJ
20165	2065	5	to	to	IN
20165	2065	6	the	the	DT
20165	2065	7	last	last	JJ
20165	2065	8	figure	figure	NN
20165	2065	9	in	in	IN
20165	2065	10	many	many	JJ
20165	2065	11	respects	respect	NNS
20165	2065	12	that	that	IN
20165	2065	13	I	-PRON-	PRP
20165	2065	14	need	need	VBP
20165	2065	15	not	not	RB
20165	2065	16	repeat	repeat	VB
20165	2065	17	a	a	DT
20165	2065	18	description	description	NN
20165	2065	19	of	of	IN
20165	2065	20	the	the	DT
20165	2065	21	manner	manner	NN
20165	2065	22	in	in	IN
20165	2065	23	which	which	WDT
20165	2065	24	it	-PRON-	PRP
20165	2065	25	is	be	VBZ
20165	2065	26	done	do	VBN
20165	2065	27	.	.	.
20165	2066	1	And	and	CC
20165	2066	2	surely	surely	RB
20165	2066	3	an	an	DT
20165	2066	4	artist	artist	NN
20165	2066	5	after	after	IN
20165	2066	6	making	make	VBG
20165	2066	7	a	a	DT
20165	2066	8	few	few	JJ
20165	2066	9	sketches	sketch	NNS
20165	2066	10	from	from	IN
20165	2066	11	the	the	DT
20165	2066	12	actual	actual	JJ
20165	2066	13	thing	thing	NN
20165	2066	14	will	will	MD
20165	2066	15	hardly	hardly	RB
20165	2066	16	require	require	VB
20165	2066	17	all	all	PDT
20165	2066	18	this	this	DT
20165	2066	19	machinery	machinery	NN
20165	2066	20	to	to	TO
20165	2066	21	draw	draw	VB
20165	2066	22	a	a	DT
20165	2066	23	simple	simple	JJ
20165	2066	24	shadow	shadow	NN
20165	2066	25	.	.	.
20165	2067	1	CLXII	CLXII	NNP
20165	2067	2	SHADOWS	shadows	JJ
20165	2067	3	PRODUCED	PRODUCED	NNS
20165	2067	4	BY	by	IN
20165	2067	5	ARTIFICIAL	ARTIFICIAL	NNP
20165	2067	6	LIGHT	LIGHT	NNP
20165	2067	7	[	[	-LRB-
20165	2067	8	Illustration	illustration	NN
20165	2067	9	:	:	:
20165	2067	10	Fig	Fig	NNP
20165	2067	11	.	.	.
20165	2068	1	287	287	CD
20165	2068	2	.	.	.
20165	2068	3	]	]	-RRB-
20165	2069	1	Shadows	shadow	NNS
20165	2069	2	thrown	throw	VBN
20165	2069	3	by	by	IN
20165	2069	4	artificial	artificial	JJ
20165	2069	5	light	light	NN
20165	2069	6	,	,	,
20165	2069	7	such	such	JJ
20165	2069	8	as	as	IN
20165	2069	9	a	a	DT
20165	2069	10	candle	candle	NN
20165	2069	11	or	or	CC
20165	2069	12	lamp	lamp	NN
20165	2069	13	,	,	,
20165	2069	14	are	be	VBP
20165	2069	15	found	find	VBN
20165	2069	16	by	by	IN
20165	2069	17	drawing	draw	VBG
20165	2069	18	lines	line	NNS
20165	2069	19	from	from	IN
20165	2069	20	the	the	DT
20165	2069	21	seat	seat	NN
20165	2069	22	of	of	IN
20165	2069	23	the	the	DT
20165	2069	24	luminary	luminary	NN
20165	2069	25	through	through	IN
20165	2069	26	the	the	DT
20165	2069	27	feet	foot	NNS
20165	2069	28	of	of	IN
20165	2069	29	the	the	DT
20165	2069	30	objects	object	NNS
20165	2069	31	to	to	TO
20165	2069	32	meet	meet	VB
20165	2069	33	lines	line	NNS
20165	2069	34	representing	represent	VBG
20165	2069	35	rays	ray	NNS
20165	2069	36	of	of	IN
20165	2069	37	light	light	NN
20165	2069	38	drawn	draw	VBN
20165	2069	39	from	from	IN
20165	2069	40	the	the	DT
20165	2069	41	luminary	luminary	NN
20165	2069	42	itself	-PRON-	PRP
20165	2069	43	over	over	IN
20165	2069	44	the	the	DT
20165	2069	45	tops	top	NNS
20165	2069	46	or	or	CC
20165	2069	47	the	the	DT
20165	2069	48	corners	corner	NNS
20165	2069	49	of	of	IN
20165	2069	50	the	the	DT
20165	2069	51	objects	object	NNS
20165	2069	52	;	;	:
20165	2069	53	very	very	RB
20165	2069	54	much	much	RB
20165	2069	55	as	as	IN
20165	2069	56	in	in	IN
20165	2069	57	the	the	DT
20165	2069	58	cases	case	NNS
20165	2069	59	of	of	IN
20165	2069	60	sun	sun	NN
20165	2069	61	-	-	HYPH
20165	2069	62	shadows	shadow	NNS
20165	2069	63	,	,	,
20165	2069	64	but	but	CC
20165	2069	65	with	with	IN
20165	2069	66	this	this	DT
20165	2069	67	difference	difference	NN
20165	2069	68	,	,	,
20165	2069	69	that	that	IN
20165	2069	70	whereas	whereas	IN
20165	2069	71	the	the	DT
20165	2069	72	foot	foot	NN
20165	2069	73	of	of	IN
20165	2069	74	the	the	DT
20165	2069	75	luminary	luminary	NN
20165	2069	76	in	in	IN
20165	2069	77	this	this	DT
20165	2069	78	latter	latter	JJ
20165	2069	79	case	case	NN
20165	2069	80	is	be	VBZ
20165	2069	81	supposed	suppose	VBN
20165	2069	82	to	to	TO
20165	2069	83	be	be	VB
20165	2069	84	on	on	IN
20165	2069	85	the	the	DT
20165	2069	86	horizon	horizon	NN
20165	2069	87	an	an	DT
20165	2069	88	infinite	infinite	JJ
20165	2069	89	distance	distance	NN
20165	2069	90	away	away	RB
20165	2069	91	,	,	,
20165	2069	92	the	the	DT
20165	2069	93	foot	foot	NN
20165	2069	94	in	in	IN
20165	2069	95	the	the	DT
20165	2069	96	case	case	NN
20165	2069	97	of	of	IN
20165	2069	98	a	a	DT
20165	2069	99	lamp	lamp	NN
20165	2069	100	or	or	CC
20165	2069	101	candle	candle	NN
20165	2069	102	may	may	MD
20165	2069	103	be	be	VB
20165	2069	104	on	on	IN
20165	2069	105	the	the	DT
20165	2069	106	floor	floor	NN
20165	2069	107	or	or	CC
20165	2069	108	on	on	IN
20165	2069	109	a	a	DT
20165	2069	110	table	table	NN
20165	2069	111	close	close	JJ
20165	2069	112	to	to	IN
20165	2069	113	us	-PRON-	PRP
20165	2069	114	.	.	.
20165	2070	1	First	first	RB
20165	2070	2	draw	draw	VB
20165	2070	3	the	the	DT
20165	2070	4	table	table	NN
20165	2070	5	and	and	CC
20165	2070	6	chair	chair	NN
20165	2070	7	,	,	,
20165	2070	8	&	&	CC
20165	2070	9	c.	c.	NNP
20165	2070	10	(	(	-LRB-
20165	2070	11	Fig	Fig	NNP
20165	2070	12	.	.	.
20165	2071	1	287	287	CD
20165	2071	2	)	)	-RRB-
20165	2071	3	,	,	,
20165	2071	4	and	and	CC
20165	2071	5	let	let	VB
20165	2071	6	_	_	NNP
20165	2071	7	L	L	NNP
20165	2071	8	_	_	NNP
20165	2071	9	be	be	VB
20165	2071	10	the	the	DT
20165	2071	11	luminary	luminary	JJ
20165	2071	12	.	.	.
20165	2072	1	For	for	IN
20165	2072	2	objects	object	NNS
20165	2072	3	on	on	IN
20165	2072	4	the	the	DT
20165	2072	5	table	table	NN
20165	2072	6	such	such	JJ
20165	2072	7	as	as	IN
20165	2072	8	_	_	NNP
20165	2072	9	K	K	NNP
20165	2072	10	_	_	NNP
20165	2072	11	the	the	DT
20165	2072	12	foot	foot	NN
20165	2072	13	will	will	MD
20165	2072	14	be	be	VB
20165	2072	15	at	at	IN
20165	2072	16	_	_	NNP
20165	2072	17	f	f	NNP
20165	2072	18	_	_	NNP
20165	2072	19	on	on	IN
20165	2072	20	the	the	DT
20165	2072	21	table	table	NN
20165	2072	22	.	.	.
20165	2073	1	For	for	IN
20165	2073	2	the	the	DT
20165	2073	3	shadows	shadow	NNS
20165	2073	4	on	on	IN
20165	2073	5	the	the	DT
20165	2073	6	floor	floor	NN
20165	2073	7	,	,	,
20165	2073	8	of	of	IN
20165	2073	9	the	the	DT
20165	2073	10	chair	chair	NN
20165	2073	11	and	and	CC
20165	2073	12	table	table	NN
20165	2073	13	itself	-PRON-	PRP
20165	2073	14	,	,	,
20165	2073	15	we	-PRON-	PRP
20165	2073	16	must	must	MD
20165	2073	17	find	find	VB
20165	2073	18	the	the	DT
20165	2073	19	foot	foot	NN
20165	2073	20	of	of	IN
20165	2073	21	the	the	DT
20165	2073	22	luminary	luminary	NN
20165	2073	23	on	on	IN
20165	2073	24	the	the	DT
20165	2073	25	floor	floor	NN
20165	2073	26	.	.	.
20165	2074	1	Draw	Draw	NNP
20165	2074	2	_	_	NNP
20165	2074	3	So	so	RB
20165	2074	4	_	_	NNP
20165	2074	5	,	,	,
20165	2074	6	find	find	VB
20165	2074	7	trace	trace	NN
20165	2074	8	of	of	IN
20165	2074	9	the	the	DT
20165	2074	10	edge	edge	NN
20165	2074	11	of	of	IN
20165	2074	12	the	the	DT
20165	2074	13	table	table	NN
20165	2074	14	,	,	,
20165	2074	15	drop	drop	VB
20165	2074	16	vertical	vertical	JJ
20165	2074	17	_	_	NNP
20165	2074	18	oP	oP	NNP
20165	2074	19	_	_	NNP
20165	2074	20	,	,	,
20165	2074	21	draw	draw	VB
20165	2074	22	_	_	NNP
20165	2074	23	PS	PS	NNP
20165	2074	24	_	_	NNP
20165	2074	25	to	to	TO
20165	2074	26	point	point	NN
20165	2074	27	of	of	IN
20165	2074	28	sight	sight	NN
20165	2074	29	,	,	,
20165	2074	30	drop	drop	VB
20165	2074	31	vertical	vertical	JJ
20165	2074	32	from	from	IN
20165	2074	33	foot	foot	NN
20165	2074	34	of	of	IN
20165	2074	35	candlestick	candlestick	NNP
20165	2074	36	to	to	TO
20165	2074	37	meet	meet	VB
20165	2074	38	_	_	NNP
20165	2074	39	PS	PS	NNP
20165	2074	40	_	_	NNP
20165	2074	41	in	in	IN
20165	2074	42	_	_	NNP
20165	2074	43	F	F	NNP
20165	2074	44	_	_	NNP
20165	2074	45	.	.	.
20165	2075	1	Then	then	RB
20165	2075	2	_	_	NNP
20165	2075	3	F	F	NNP
20165	2075	4	_	_	NNP
20165	2075	5	is	be	VBZ
20165	2075	6	the	the	DT
20165	2075	7	foot	foot	NN
20165	2075	8	of	of	IN
20165	2075	9	the	the	DT
20165	2075	10	luminary	luminary	NN
20165	2075	11	on	on	IN
20165	2075	12	the	the	DT
20165	2075	13	floor	floor	NN
20165	2075	14	.	.	.
20165	2076	1	From	from	IN
20165	2076	2	this	this	DT
20165	2076	3	point	point	NN
20165	2076	4	draw	draw	VBP
20165	2076	5	lines	line	NNS
20165	2076	6	through	through	IN
20165	2076	7	the	the	DT
20165	2076	8	feet	foot	NNS
20165	2076	9	or	or	CC
20165	2076	10	traces	trace	NNS
20165	2076	11	of	of	IN
20165	2076	12	objects	object	NNS
20165	2076	13	such	such	JJ
20165	2076	14	as	as	IN
20165	2076	15	the	the	DT
20165	2076	16	corners	corner	NNS
20165	2076	17	of	of	IN
20165	2076	18	the	the	DT
20165	2076	19	table	table	NN
20165	2076	20	,	,	,
20165	2076	21	&	&	CC
20165	2076	22	c.	c.	NNP
20165	2076	23	,	,	,
20165	2076	24	to	to	TO
20165	2076	25	meet	meet	VB
20165	2076	26	other	other	JJ
20165	2076	27	lines	line	NNS
20165	2076	28	drawn	draw	VBN
20165	2076	29	from	from	IN
20165	2076	30	the	the	DT
20165	2076	31	point	point	NN
20165	2076	32	of	of	IN
20165	2076	33	light	light	NN
20165	2076	34	,	,	,
20165	2076	35	and	and	CC
20165	2076	36	so	so	RB
20165	2076	37	obtain	obtain	VB
20165	2076	38	the	the	DT
20165	2076	39	shadow	shadow	NN
20165	2076	40	.	.	.
20165	2077	1	CLXIII	clxiii	NN
20165	2077	2	SOME	some	NN
20165	2077	3	OBSERVATIONS	observations	JJ
20165	2077	4	ON	on	IN
20165	2077	5	REAL	real	JJ
20165	2077	6	LIGHT	light	NN
20165	2077	7	AND	and	CC
20165	2077	8	SHADE	shade	VB
20165	2077	9	Although	although	IN
20165	2077	10	the	the	DT
20165	2077	11	figures	figure	NNS
20165	2077	12	we	-PRON-	PRP
20165	2077	13	have	have	VBP
20165	2077	14	been	be	VBN
20165	2077	15	drawing	draw	VBG
20165	2077	16	show	show	NN
20165	2077	17	the	the	DT
20165	2077	18	principles	principle	NNS
20165	2077	19	on	on	IN
20165	2077	20	which	which	WDT
20165	2077	21	sun	sun	NN
20165	2077	22	-	-	HYPH
20165	2077	23	shadows	shadow	NNS
20165	2077	24	are	be	VBP
20165	2077	25	shaped	shape	VBN
20165	2077	26	,	,	,
20165	2077	27	still	still	RB
20165	2077	28	there	there	EX
20165	2077	29	are	be	VBP
20165	2077	30	so	so	RB
20165	2077	31	many	many	JJ
20165	2077	32	more	more	JJR
20165	2077	33	laws	law	NNS
20165	2077	34	to	to	TO
20165	2077	35	be	be	VB
20165	2077	36	considered	consider	VBN
20165	2077	37	in	in	IN
20165	2077	38	the	the	DT
20165	2077	39	great	great	JJ
20165	2077	40	art	art	NN
20165	2077	41	of	of	IN
20165	2077	42	light	light	NN
20165	2077	43	and	and	CC
20165	2077	44	shade	shade	NN
20165	2077	45	that	that	IN
20165	2077	46	it	-PRON-	PRP
20165	2077	47	is	be	VBZ
20165	2077	48	better	well	JJR
20165	2077	49	to	to	TO
20165	2077	50	observe	observe	VB
20165	2077	51	them	-PRON-	PRP
20165	2077	52	in	in	IN
20165	2077	53	Nature	nature	NN
20165	2077	54	herself	-PRON-	PRP
20165	2077	55	or	or	CC
20165	2077	56	under	under	IN
20165	2077	57	the	the	DT
20165	2077	58	teaching	teaching	NN
20165	2077	59	of	of	IN
20165	2077	60	the	the	DT
20165	2077	61	real	real	JJ
20165	2077	62	sun	sun	NN
20165	2077	63	.	.	.
20165	2078	1	In	in	IN
20165	2078	2	the	the	DT
20165	2078	3	study	study	NN
20165	2078	4	of	of	IN
20165	2078	5	a	a	DT
20165	2078	6	kitchen	kitchen	NN
20165	2078	7	and	and	CC
20165	2078	8	scullery	scullery	RB
20165	2078	9	in	in	IN
20165	2078	10	an	an	DT
20165	2078	11	old	old	JJ
20165	2078	12	house	house	NN
20165	2078	13	in	in	IN
20165	2078	14	Toledo	Toledo	NNP
20165	2078	15	(	(	-LRB-
20165	2078	16	Fig	Fig	NNP
20165	2078	17	.	.	.
20165	2079	1	288	288	CD
20165	2079	2	)	)	-RRB-
20165	2079	3	we	-PRON-	PRP
20165	2079	4	have	have	VBP
20165	2079	5	an	an	DT
20165	2079	6	example	example	NN
20165	2079	7	of	of	IN
20165	2079	8	the	the	DT
20165	2079	9	many	many	JJ
20165	2079	10	things	thing	NNS
20165	2079	11	to	to	TO
20165	2079	12	be	be	VB
20165	2079	13	considered	consider	VBN
20165	2079	14	besides	besides	IN
20165	2079	15	the	the	DT
20165	2079	16	mere	mere	JJ
20165	2079	17	shapes	shape	NNS
20165	2079	18	of	of	IN
20165	2079	19	shadows	shadow	NNS
20165	2079	20	of	of	IN
20165	2079	21	regular	regular	JJ
20165	2079	22	forms	form	NNS
20165	2079	23	.	.	.
20165	2080	1	It	-PRON-	PRP
20165	2080	2	will	will	MD
20165	2080	3	be	be	VB
20165	2080	4	seen	see	VBN
20165	2080	5	that	that	IN
20165	2080	6	the	the	DT
20165	2080	7	light	light	NN
20165	2080	8	is	be	VBZ
20165	2080	9	dispersed	disperse	VBN
20165	2080	10	in	in	IN
20165	2080	11	all	all	DT
20165	2080	12	directions	direction	NNS
20165	2080	13	,	,	,
20165	2080	14	and	and	CC
20165	2080	15	although	although	IN
20165	2080	16	there	there	EX
20165	2080	17	is	be	VBZ
20165	2080	18	a	a	DT
20165	2080	19	good	good	JJ
20165	2080	20	deal	deal	NN
20165	2080	21	of	of	IN
20165	2080	22	half	half	JJ
20165	2080	23	-	-	HYPH
20165	2080	24	shade	shade	NN
20165	2080	25	there	there	EX
20165	2080	26	are	be	VBP
20165	2080	27	scarcely	scarcely	RB
20165	2080	28	any	any	DT
20165	2080	29	cast	cast	NN
20165	2080	30	shadows	shadow	NNS
20165	2080	31	except	except	IN
20165	2080	32	on	on	IN
20165	2080	33	the	the	DT
20165	2080	34	floor	floor	NN
20165	2080	35	;	;	:
20165	2080	36	but	but	CC
20165	2080	37	the	the	DT
20165	2080	38	light	light	NN
20165	2080	39	on	on	IN
20165	2080	40	the	the	DT
20165	2080	41	white	white	JJ
20165	2080	42	walls	wall	NNS
20165	2080	43	in	in	IN
20165	2080	44	the	the	DT
20165	2080	45	outside	outside	JJ
20165	2080	46	gallery	gallery	NN
20165	2080	47	is	be	VBZ
20165	2080	48	so	so	RB
20165	2080	49	reflected	reflect	VBN
20165	2080	50	into	into	IN
20165	2080	51	the	the	DT
20165	2080	52	cast	cast	NN
20165	2080	53	shadows	shadow	NNS
20165	2080	54	that	that	IN
20165	2080	55	they	-PRON-	PRP
20165	2080	56	are	be	VBP
20165	2080	57	extremely	extremely	RB
20165	2080	58	faint	faint	JJ
20165	2080	59	.	.	.
20165	2081	1	The	the	DT
20165	2081	2	luminosity	luminosity	NN
20165	2081	3	of	of	IN
20165	2081	4	this	this	DT
20165	2081	5	part	part	NN
20165	2081	6	of	of	IN
20165	2081	7	the	the	DT
20165	2081	8	sketch	sketch	NN
20165	2081	9	is	be	VBZ
20165	2081	10	greatly	greatly	RB
20165	2081	11	enhanced	enhance	VBN
20165	2081	12	by	by	IN
20165	2081	13	the	the	DT
20165	2081	14	contrast	contrast	NN
20165	2081	15	of	of	IN
20165	2081	16	the	the	DT
20165	2081	17	dark	dark	JJ
20165	2081	18	legs	leg	NNS
20165	2081	19	of	of	IN
20165	2081	20	the	the	DT
20165	2081	21	bench	bench	NN
20165	2081	22	and	and	CC
20165	2081	23	the	the	DT
20165	2081	24	shadows	shadow	NNS
20165	2081	25	in	in	IN
20165	2081	26	the	the	DT
20165	2081	27	roof	roof	NN
20165	2081	28	.	.	.
20165	2082	1	The	the	DT
20165	2082	2	warm	warm	JJ
20165	2082	3	glow	glow	NN
20165	2082	4	of	of	IN
20165	2082	5	all	all	PDT
20165	2082	6	this	this	DT
20165	2082	7	portion	portion	NN
20165	2082	8	is	be	VBZ
20165	2082	9	contrasted	contrast	VBN
20165	2082	10	by	by	IN
20165	2082	11	the	the	DT
20165	2082	12	grey	grey	NNP
20165	2082	13	door	door	NNP
20165	2082	14	and	and	CC
20165	2082	15	its	-PRON-	PRP$
20165	2082	16	frame	frame	NN
20165	2082	17	.	.	.
20165	2083	1	[	[	-LRB-
20165	2083	2	Illustration	illustration	NN
20165	2083	3	:	:	:
20165	2083	4	Fig	Fig	NNP
20165	2083	5	.	.	.
20165	2084	1	288	288	CD
20165	2084	2	.	.	.
20165	2084	3	]	]	-RRB-
20165	2085	1	Note	note	VB
20165	2085	2	that	that	IN
20165	2085	3	the	the	DT
20165	2085	4	door	door	NN
20165	2085	5	itself	-PRON-	PRP
20165	2085	6	is	be	VBZ
20165	2085	7	quite	quite	RB
20165	2085	8	luminous	luminous	JJ
20165	2085	9	,	,	,
20165	2085	10	and	and	CC
20165	2085	11	lighted	light	VBN
20165	2085	12	up	up	RP
20165	2085	13	by	by	IN
20165	2085	14	the	the	DT
20165	2085	15	reflection	reflection	NN
20165	2085	16	of	of	IN
20165	2085	17	the	the	DT
20165	2085	18	sun	sun	NN
20165	2085	19	from	from	IN
20165	2085	20	the	the	DT
20165	2085	21	tiled	tiled	JJ
20165	2085	22	floor	floor	NN
20165	2085	23	,	,	,
20165	2085	24	so	so	IN
20165	2085	25	that	that	IN
20165	2085	26	the	the	DT
20165	2085	27	bars	bar	NNS
20165	2085	28	in	in	IN
20165	2085	29	the	the	DT
20165	2085	30	upper	upper	JJ
20165	2085	31	part	part	NN
20165	2085	32	throw	throw	VBP
20165	2085	33	distinct	distinct	JJ
20165	2085	34	shadows	shadow	NNS
20165	2085	35	,	,	,
20165	2085	36	besides	besides	IN
20165	2085	37	the	the	DT
20165	2085	38	mystery	mystery	NN
20165	2085	39	of	of	IN
20165	2085	40	colour	colour	NN
20165	2085	41	thus	thus	RB
20165	2085	42	introduced	introduce	VBN
20165	2085	43	.	.	.
20165	2086	1	The	the	DT
20165	2086	2	little	little	JJ
20165	2086	3	window	window	NN
20165	2086	4	to	to	IN
20165	2086	5	the	the	DT
20165	2086	6	left	left	NN
20165	2086	7	,	,	,
20165	2086	8	though	though	IN
20165	2086	9	not	not	RB
20165	2086	10	admitting	admit	VBG
20165	2086	11	much	much	JJ
20165	2086	12	direct	direct	JJ
20165	2086	13	sunlight	sunlight	NN
20165	2086	14	,	,	,
20165	2086	15	is	be	VBZ
20165	2086	16	evidence	evidence	NN
20165	2086	17	of	of	IN
20165	2086	18	the	the	DT
20165	2086	19	brilliant	brilliant	JJ
20165	2086	20	glare	glare	NN
20165	2086	21	outside	outside	RB
20165	2086	22	;	;	,
20165	2086	23	for	for	IN
20165	2086	24	the	the	DT
20165	2086	25	reflected	reflected	JJ
20165	2086	26	light	light	NN
20165	2086	27	is	be	VBZ
20165	2086	28	very	very	RB
20165	2086	29	conspicuous	conspicuous	JJ
20165	2086	30	on	on	IN
20165	2086	31	the	the	DT
20165	2086	32	top	top	NN
20165	2086	33	and	and	CC
20165	2086	34	on	on	IN
20165	2086	35	the	the	DT
20165	2086	36	shutters	shutter	NNS
20165	2086	37	on	on	IN
20165	2086	38	each	each	DT
20165	2086	39	side	side	NN
20165	2086	40	;	;	:
20165	2086	41	indeed	indeed	RB
20165	2086	42	they	-PRON-	PRP
20165	2086	43	cast	cast	VBD
20165	2086	44	distinct	distinct	JJ
20165	2086	45	shadows	shadow	NNS
20165	2086	46	up	up	IN
20165	2086	47	and	and	CC
20165	2086	48	down	down	RB
20165	2086	49	,	,	,
20165	2086	50	while	while	IN
20165	2086	51	some	some	DT
20165	2086	52	clear	clear	JJ
20165	2086	53	daylight	daylight	NN
20165	2086	54	from	from	IN
20165	2086	55	the	the	DT
20165	2086	56	blue	blue	JJ
20165	2086	57	sky	sky	NN
20165	2086	58	is	be	VBZ
20165	2086	59	reflected	reflect	VBN
20165	2086	60	on	on	IN
20165	2086	61	the	the	DT
20165	2086	62	window	window	NN
20165	2086	63	-	-	HYPH
20165	2086	64	sill	sill	NN
20165	2086	65	.	.	.
20165	2087	1	As	as	IN
20165	2087	2	to	to	IN
20165	2087	3	the	the	DT
20165	2087	4	sink	sink	NN
20165	2087	5	,	,	,
20165	2087	6	the	the	DT
20165	2087	7	table	table	NN
20165	2087	8	,	,	,
20165	2087	9	the	the	DT
20165	2087	10	wash	wash	NN
20165	2087	11	-	-	HYPH
20165	2087	12	tubs	tub	NNS
20165	2087	13	,	,	,
20165	2087	14	&	&	CC
20165	2087	15	c.	c.	NNP
20165	2087	16	,	,	,
20165	2087	17	although	although	IN
20165	2087	18	they	-PRON-	PRP
20165	2087	19	seem	seem	VBP
20165	2087	20	in	in	IN
20165	2087	21	strong	strong	JJ
20165	2087	22	light	light	NN
20165	2087	23	and	and	CC
20165	2087	24	shade	shade	NN
20165	2087	25	they	-PRON-	PRP
20165	2087	26	really	really	RB
20165	2087	27	receive	receive	VBP
20165	2087	28	little	little	JJ
20165	2087	29	or	or	CC
20165	2087	30	no	no	DT
20165	2087	31	direct	direct	JJ
20165	2087	32	light	light	NN
20165	2087	33	from	from	IN
20165	2087	34	a	a	DT
20165	2087	35	single	single	JJ
20165	2087	36	point	point	NN
20165	2087	37	;	;	:
20165	2087	38	but	but	CC
20165	2087	39	from	from	IN
20165	2087	40	the	the	DT
20165	2087	41	strong	strong	JJ
20165	2087	42	reflected	reflect	VBN
20165	2087	43	light	light	NN
20165	2087	44	re	re	VBN
20165	2087	45	-	-	VBN
20165	2087	46	reflected	reflect	VBN
20165	2087	47	into	into	IN
20165	2087	48	them	-PRON-	PRP
20165	2087	49	from	from	IN
20165	2087	50	the	the	DT
20165	2087	51	wall	wall	NN
20165	2087	52	of	of	IN
20165	2087	53	the	the	DT
20165	2087	54	doorway	doorway	NN
20165	2087	55	.	.	.
20165	2088	1	There	there	EX
20165	2088	2	are	be	VBP
20165	2088	3	many	many	JJ
20165	2088	4	other	other	JJ
20165	2088	5	things	thing	NNS
20165	2088	6	in	in	IN
20165	2088	7	such	such	JJ
20165	2088	8	effects	effect	NNS
20165	2088	9	as	as	IN
20165	2088	10	this	this	DT
20165	2088	11	which	which	WDT
20165	2088	12	the	the	DT
20165	2088	13	artist	artist	NN
20165	2088	14	will	will	MD
20165	2088	15	observe	observe	VB
20165	2088	16	,	,	,
20165	2088	17	and	and	CC
20165	2088	18	which	which	WDT
20165	2088	19	can	can	MD
20165	2088	20	only	only	RB
20165	2088	21	be	be	VB
20165	2088	22	studied	study	VBN
20165	2088	23	from	from	IN
20165	2088	24	real	real	JJ
20165	2088	25	light	light	NN
20165	2088	26	and	and	CC
20165	2088	27	shade	shade	NN
20165	2088	28	.	.	.
20165	2089	1	Such	such	JJ
20165	2089	2	is	be	VBZ
20165	2089	3	the	the	DT
20165	2089	4	character	character	NN
20165	2089	5	of	of	IN
20165	2089	6	reflected	reflect	VBN
20165	2089	7	light	light	NN
20165	2089	8	,	,	,
20165	2089	9	varying	vary	VBG
20165	2089	10	according	accord	VBG
20165	2089	11	to	to	IN
20165	2089	12	the	the	DT
20165	2089	13	angle	angle	NN
20165	2089	14	and	and	CC
20165	2089	15	intensity	intensity	NN
20165	2089	16	of	of	IN
20165	2089	17	the	the	DT
20165	2089	18	luminary	luminary	JJ
20165	2089	19	and	and	CC
20165	2089	20	a	a	DT
20165	2089	21	hundred	hundred	CD
20165	2089	22	other	other	JJ
20165	2089	23	things	thing	NNS
20165	2089	24	.	.	.
20165	2090	1	When	when	WRB
20165	2090	2	we	-PRON-	PRP
20165	2090	3	come	come	VBP
20165	2090	4	to	to	TO
20165	2090	5	study	study	VB
20165	2090	6	light	light	NN
20165	2090	7	in	in	IN
20165	2090	8	the	the	DT
20165	2090	9	open	open	JJ
20165	2090	10	air	air	NN
20165	2090	11	we	-PRON-	PRP
20165	2090	12	get	get	VBP
20165	2090	13	into	into	IN
20165	2090	14	another	another	DT
20165	2090	15	region	region	NN
20165	2090	16	,	,	,
20165	2090	17	and	and	CC
20165	2090	18	have	have	VBP
20165	2090	19	to	to	TO
20165	2090	20	deal	deal	VB
20165	2090	21	with	with	IN
20165	2090	22	it	-PRON-	PRP
20165	2090	23	accordingly	accordingly	RB
20165	2090	24	,	,	,
20165	2090	25	and	and	CC
20165	2090	26	yet	yet	RB
20165	2090	27	we	-PRON-	PRP
20165	2090	28	shall	shall	MD
20165	2090	29	find	find	VB
20165	2090	30	that	that	IN
20165	2090	31	our	-PRON-	PRP$
20165	2090	32	sciagraphy	sciagraphy	NN
20165	2090	33	will	will	MD
20165	2090	34	be	be	VB
20165	2090	35	a	a	DT
20165	2090	36	help	help	NN
20165	2090	37	to	to	IN
20165	2090	38	us	-PRON-	PRP
20165	2090	39	even	even	RB
20165	2090	40	in	in	IN
20165	2090	41	this	this	DT
20165	2090	42	bewilderment	bewilderment	NN
20165	2090	43	;	;	:
20165	2090	44	for	for	IN
20165	2090	45	it	-PRON-	PRP
20165	2090	46	will	will	MD
20165	2090	47	explain	explain	VB
20165	2090	48	in	in	IN
20165	2090	49	a	a	DT
20165	2090	50	manner	manner	NN
20165	2090	51	the	the	DT
20165	2090	52	innumerable	innumerable	JJ
20165	2090	53	shapes	shape	NNS
20165	2090	54	of	of	IN
20165	2090	55	sun	sun	NN
20165	2090	56	-	-	HYPH
20165	2090	57	shadows	shadow	NNS
20165	2090	58	that	that	IN
20165	2090	59	we	-PRON-	PRP
20165	2090	60	observe	observe	VBP
20165	2090	61	out	out	IN
20165	2090	62	of	of	IN
20165	2090	63	doors	door	NNS
20165	2090	64	among	among	IN
20165	2090	65	hills	hill	NNS
20165	2090	66	and	and	CC
20165	2090	67	dales	dale	NNS
20165	2090	68	,	,	,
20165	2090	69	showing	show	VBG
20165	2090	70	up	up	RP
20165	2090	71	their	-PRON-	PRP$
20165	2090	72	forms	form	NNS
20165	2090	73	and	and	CC
20165	2090	74	structure	structure	NN
20165	2090	75	;	;	:
20165	2090	76	its	-PRON-	PRP$
20165	2090	77	play	play	NN
20165	2090	78	in	in	IN
20165	2090	79	the	the	DT
20165	2090	80	woods	wood	NNS
20165	2090	81	and	and	CC
20165	2090	82	gardens	garden	NNS
20165	2090	83	,	,	,
20165	2090	84	and	and	CC
20165	2090	85	its	-PRON-	PRP$
20165	2090	86	value	value	NN
20165	2090	87	among	among	IN
20165	2090	88	buildings	building	NNS
20165	2090	89	,	,	,
20165	2090	90	showing	show	VBG
20165	2090	91	all	all	PDT
20165	2090	92	their	-PRON-	PRP$
20165	2090	93	juttings	jutting	NNS
20165	2090	94	and	and	CC
20165	2090	95	abuttings	abutting	NNS
20165	2090	96	,	,	,
20165	2090	97	recesses	recess	NNS
20165	2090	98	,	,	,
20165	2090	99	doorways	doorway	NNS
20165	2090	100	,	,	,
20165	2090	101	and	and	CC
20165	2090	102	all	all	PDT
20165	2090	103	the	the	DT
20165	2090	104	other	other	JJ
20165	2090	105	architectural	architectural	JJ
20165	2090	106	details	detail	NNS
20165	2090	107	.	.	.
20165	2091	1	Nor	nor	CC
20165	2091	2	must	must	MD
20165	2091	3	we	-PRON-	PRP
20165	2091	4	forget	forget	VB
20165	2091	5	light	light	NN
20165	2091	6	's	's	POS
20165	2091	7	most	most	RBS
20165	2091	8	glorious	glorious	JJ
20165	2091	9	display	display	NN
20165	2091	10	of	of	IN
20165	2091	11	all	all	DT
20165	2091	12	on	on	IN
20165	2091	13	the	the	DT
20165	2091	14	sea	sea	NN
20165	2091	15	and	and	CC
20165	2091	16	in	in	IN
20165	2091	17	the	the	DT
20165	2091	18	clouds	cloud	NNS
20165	2091	19	and	and	CC
20165	2091	20	in	in	IN
20165	2091	21	the	the	DT
20165	2091	22	sunrises	sunrise	NNS
20165	2091	23	and	and	CC
20165	2091	24	the	the	DT
20165	2091	25	sunsets	sunset	NNS
20165	2091	26	down	down	IN
20165	2091	27	to	to	IN
20165	2091	28	the	the	DT
20165	2091	29	still	still	JJ
20165	2091	30	and	and	CC
20165	2091	31	lovely	lovely	JJ
20165	2091	32	moonlight	moonlight	NN
20165	2091	33	.	.	.
20165	2092	1	These	these	DT
20165	2092	2	sun	sun	NN
20165	2092	3	-	-	HYPH
20165	2092	4	shadows	shadow	NNS
20165	2092	5	are	be	VBP
20165	2092	6	useful	useful	JJ
20165	2092	7	in	in	IN
20165	2092	8	showing	show	VBG
20165	2092	9	us	-PRON-	PRP
20165	2092	10	the	the	DT
20165	2092	11	principle	principle	NN
20165	2092	12	of	of	IN
20165	2092	13	light	light	NN
20165	2092	14	and	and	CC
20165	2092	15	shade	shade	NN
20165	2092	16	,	,	,
20165	2092	17	and	and	CC
20165	2092	18	so	so	RB
20165	2092	19	also	also	RB
20165	2092	20	are	be	VBP
20165	2092	21	the	the	DT
20165	2092	22	shadows	shadow	NNS
20165	2092	23	cast	cast	VBN
20165	2092	24	by	by	IN
20165	2092	25	artificial	artificial	JJ
20165	2092	26	light	light	NN
20165	2092	27	;	;	:
20165	2092	28	but	but	CC
20165	2092	29	they	-PRON-	PRP
20165	2092	30	are	be	VBP
20165	2092	31	only	only	RB
20165	2092	32	the	the	DT
20165	2092	33	beginning	beginning	NN
20165	2092	34	of	of	IN
20165	2092	35	that	that	DT
20165	2092	36	beautiful	beautiful	JJ
20165	2092	37	study	study	NN
20165	2092	38	,	,	,
20165	2092	39	that	that	DT
20165	2092	40	exquisite	exquisite	JJ
20165	2092	41	art	art	NN
20165	2092	42	of	of	IN
20165	2092	43	tone	tone	NN
20165	2092	44	or	or	CC
20165	2092	45	_	_	NNP
20165	2092	46	chiaro	chiaro	NNP
20165	2092	47	-	-	HYPH
20165	2092	48	oscuro	oscuro	NNP
20165	2092	49	_	_	NNP
20165	2092	50	,	,	,
20165	2092	51	which	which	WDT
20165	2092	52	is	be	VBZ
20165	2092	53	infinite	infinite	JJ
20165	2092	54	in	in	IN
20165	2092	55	its	-PRON-	PRP$
20165	2092	56	variety	variety	NN
20165	2092	57	,	,	,
20165	2092	58	is	be	VBZ
20165	2092	59	full	full	JJ
20165	2092	60	of	of	IN
20165	2092	61	the	the	DT
20165	2092	62	deepest	deep	JJS
20165	2092	63	mystery	mystery	NN
20165	2092	64	,	,	,
20165	2092	65	and	and	CC
20165	2092	66	is	be	VBZ
20165	2092	67	the	the	DT
20165	2092	68	true	true	JJ
20165	2092	69	poetry	poetry	NN
20165	2092	70	of	of	IN
20165	2092	71	art	art	NN
20165	2092	72	.	.	.
20165	2093	1	For	for	IN
20165	2093	2	this	this	DT
20165	2093	3	the	the	DT
20165	2093	4	student	student	NN
20165	2093	5	must	must	MD
20165	2093	6	go	go	VB
20165	2093	7	to	to	IN
20165	2093	8	Nature	Nature	NNP
20165	2093	9	herself	-PRON-	PRP
20165	2093	10	,	,	,
20165	2093	11	must	must	MD
20165	2093	12	study	study	VB
20165	2093	13	her	-PRON-	PRP
20165	2093	14	in	in	IN
20165	2093	15	all	all	DT
20165	2093	16	her	-PRON-	PRP$
20165	2093	17	moods	mood	NNS
20165	2093	18	from	from	IN
20165	2093	19	early	early	JJ
20165	2093	20	dawn	dawn	NN
20165	2093	21	to	to	TO
20165	2093	22	sunset	sunset	VB
20165	2093	23	,	,	,
20165	2093	24	in	in	IN
20165	2093	25	the	the	DT
20165	2093	26	twilight	twilight	NN
20165	2093	27	and	and	CC
20165	2093	28	when	when	WRB
20165	2093	29	night	night	NN
20165	2093	30	sets	set	VBZ
20165	2093	31	in	in	RP
20165	2093	32	.	.	.
20165	2094	1	No	no	DT
20165	2094	2	mathematical	mathematical	JJ
20165	2094	3	rules	rule	NNS
20165	2094	4	can	can	MD
20165	2094	5	help	help	VB
20165	2094	6	him	-PRON-	PRP
20165	2094	7	,	,	,
20165	2094	8	but	but	CC
20165	2094	9	only	only	RB
20165	2094	10	the	the	DT
20165	2094	11	thoughtful	thoughtful	JJ
20165	2094	12	contemplation	contemplation	NN
20165	2094	13	,	,	,
20165	2094	14	the	the	DT
20165	2094	15	silent	silent	JJ
20165	2094	16	watching	watching	NN
20165	2094	17	,	,	,
20165	2094	18	and	and	CC
20165	2094	19	the	the	DT
20165	2094	20	mental	mental	JJ
20165	2094	21	notes	note	NNS
20165	2094	22	that	that	IN
20165	2094	23	he	-PRON-	PRP
20165	2094	24	can	can	MD
20165	2094	25	make	make	VB
20165	2094	26	and	and	CC
20165	2094	27	commit	commit	VB
20165	2094	28	to	to	IN
20165	2094	29	memory	memory	NN
20165	2094	30	,	,	,
20165	2094	31	combining	combine	VBG
20165	2094	32	them	-PRON-	PRP
20165	2094	33	with	with	IN
20165	2094	34	the	the	DT
20165	2094	35	sentiments	sentiment	NNS
20165	2094	36	to	to	TO
20165	2094	37	which	which	WDT
20165	2094	38	they	-PRON-	PRP
20165	2094	39	in	in	IN
20165	2094	40	turn	turn	NN
20165	2094	41	give	give	VBP
20165	2094	42	rise	rise	NN
20165	2094	43	.	.	.
20165	2095	1	The	the	DT
20165	2095	2	_	_	NNP
20165	2095	3	plein	plein	NNP
20165	2095	4	air	air	NN
20165	2095	5	_	_	NNP
20165	2095	6	,	,	,
20165	2095	7	or	or	CC
20165	2095	8	broad	broad	JJ
20165	2095	9	daylight	daylight	NN
20165	2095	10	effects	effect	NNS
20165	2095	11	,	,	,
20165	2095	12	are	be	VBP
20165	2095	13	but	but	CC
20165	2095	14	one	one	CD
20165	2095	15	item	item	NN
20165	2095	16	of	of	IN
20165	2095	17	the	the	DT
20165	2095	18	great	great	JJ
20165	2095	19	range	range	NN
20165	2095	20	of	of	IN
20165	2095	21	this	this	DT
20165	2095	22	ever	ever	RB
20165	2095	23	-	-	HYPH
20165	2095	24	changing	change	VBG
20165	2095	25	and	and	CC
20165	2095	26	deepening	deepen	VBG
20165	2095	27	mystery	mystery	NN
20165	2095	28	--	--	:
20165	2095	29	from	from	IN
20165	2095	30	the	the	DT
20165	2095	31	hard	hard	JJ
20165	2095	32	reality	reality	NN
20165	2095	33	to	to	IN
20165	2095	34	the	the	DT
20165	2095	35	soft	soft	JJ
20165	2095	36	blending	blending	NN
20165	2095	37	of	of	IN
20165	2095	38	evening	evening	NN
20165	2095	39	when	when	WRB
20165	2095	40	form	form	NN
20165	2095	41	almost	almost	RB
20165	2095	42	disappears	disappear	VBZ
20165	2095	43	,	,	,
20165	2095	44	even	even	RB
20165	2095	45	to	to	IN
20165	2095	46	the	the	DT
20165	2095	47	merging	merging	NN
20165	2095	48	of	of	IN
20165	2095	49	the	the	DT
20165	2095	50	whole	whole	JJ
20165	2095	51	landscape	landscape	NN
20165	2095	52	,	,	,
20165	2095	53	nay	nay	NN
20165	2095	54	,	,	,
20165	2095	55	the	the	DT
20165	2095	56	whole	whole	JJ
20165	2095	57	world	world	NN
20165	2095	58	,	,	,
20165	2095	59	into	into	IN
20165	2095	60	a	a	DT
20165	2095	61	dream	dream	NN
20165	2095	62	--	--	:
20165	2095	63	which	which	WDT
20165	2095	64	is	be	VBZ
20165	2095	65	felt	feel	VBN
20165	2095	66	rather	rather	RB
20165	2095	67	than	than	IN
20165	2095	68	seen	see	VBN
20165	2095	69	,	,	,
20165	2095	70	but	but	CC
20165	2095	71	possesses	possess	VBZ
20165	2095	72	a	a	DT
20165	2095	73	charm	charm	NN
20165	2095	74	that	that	WDT
20165	2095	75	almost	almost	RB
20165	2095	76	defies	defy	VBZ
20165	2095	77	the	the	DT
20165	2095	78	pencil	pencil	NN
20165	2095	79	of	of	IN
20165	2095	80	the	the	DT
20165	2095	81	painter	painter	NN
20165	2095	82	,	,	,
20165	2095	83	and	and	CC
20165	2095	84	can	can	MD
20165	2095	85	only	only	RB
20165	2095	86	be	be	VB
20165	2095	87	expressed	express	VBN
20165	2095	88	by	by	IN
20165	2095	89	the	the	DT
20165	2095	90	deep	deep	JJ
20165	2095	91	and	and	CC
20165	2095	92	sweet	sweet	JJ
20165	2095	93	notes	note	NNS
20165	2095	94	of	of	IN
20165	2095	95	the	the	DT
20165	2095	96	poet	poet	NN
20165	2095	97	and	and	CC
20165	2095	98	the	the	DT
20165	2095	99	musician	musician	NN
20165	2095	100	.	.	.
20165	2096	1	For	for	IN
20165	2096	2	love	love	NN
20165	2096	3	and	and	CC
20165	2096	4	reverence	reverence	NN
20165	2096	5	are	be	VBP
20165	2096	6	necessary	necessary	JJ
20165	2096	7	to	to	TO
20165	2096	8	appreciate	appreciate	VB
20165	2096	9	and	and	CC
20165	2096	10	to	to	TO
20165	2096	11	present	present	VB
20165	2096	12	it	-PRON-	PRP
20165	2096	13	.	.	.
20165	2097	1	There	there	EX
20165	2097	2	is	be	VBZ
20165	2097	3	also	also	RB
20165	2097	4	much	much	JJ
20165	2097	5	to	to	TO
20165	2097	6	learn	learn	VB
20165	2097	7	about	about	IN
20165	2097	8	artificial	artificial	JJ
20165	2097	9	light	light	NN
20165	2097	10	.	.	.
20165	2098	1	For	for	IN
20165	2098	2	here	here	RB
20165	2098	3	,	,	,
20165	2098	4	again	again	RB
20165	2098	5	,	,	,
20165	2098	6	the	the	DT
20165	2098	7	study	study	NN
20165	2098	8	is	be	VBZ
20165	2098	9	endless	endless	JJ
20165	2098	10	:	:	:
20165	2098	11	from	from	IN
20165	2098	12	the	the	DT
20165	2098	13	glare	glare	NN
20165	2098	14	of	of	IN
20165	2098	15	a	a	DT
20165	2098	16	hundred	hundred	CD
20165	2098	17	lights	light	NNS
20165	2098	18	--	--	:
20165	2098	19	electric	electric	JJ
20165	2098	20	and	and	CC
20165	2098	21	otherwise	otherwise	RB
20165	2098	22	--	--	:
20165	2098	23	to	to	IN
20165	2098	24	the	the	DT
20165	2098	25	single	single	JJ
20165	2098	26	lamp	lamp	NN
20165	2098	27	or	or	CC
20165	2098	28	candle	candle	NN
20165	2098	29	.	.	.
20165	2099	1	Indeed	indeed	RB
20165	2099	2	a	a	DT
20165	2099	3	whole	whole	JJ
20165	2099	4	volume	volume	NN
20165	2099	5	could	could	MD
20165	2099	6	be	be	VB
20165	2099	7	filled	fill	VBN
20165	2099	8	with	with	IN
20165	2099	9	illustrations	illustration	NNS
20165	2099	10	of	of	IN
20165	2099	11	its	-PRON-	PRP$
20165	2099	12	effects	effect	NNS
20165	2099	13	.	.	.
20165	2100	1	To	to	IN
20165	2100	2	those	those	DT
20165	2100	3	who	who	WP
20165	2100	4	aim	aim	VBP
20165	2100	5	at	at	IN
20165	2100	6	producing	produce	VBG
20165	2100	7	intense	intense	JJ
20165	2100	8	brilliancy	brilliancy	NN
20165	2100	9	,	,	,
20165	2100	10	refusing	refuse	VBG
20165	2100	11	to	to	TO
20165	2100	12	acknowledge	acknowledge	VB
20165	2100	13	any	any	DT
20165	2100	14	limitations	limitation	NNS
20165	2100	15	to	to	IN
20165	2100	16	their	-PRON-	PRP$
20165	2100	17	capacity	capacity	NN
20165	2100	18	,	,	,
20165	2100	19	a	a	DT
20165	2100	20	hundred	hundred	CD
20165	2100	21	or	or	CC
20165	2100	22	a	a	DT
20165	2100	23	thousand	thousand	CD
20165	2100	24	lights	light	NNS
20165	2100	25	commend	commend	VBP
20165	2100	26	themselves	-PRON-	PRP
20165	2100	27	;	;	:
20165	2100	28	and	and	CC
20165	2100	29	even	even	RB
20165	2100	30	though	though	IN
20165	2100	31	wild	wild	JJ
20165	2100	32	splashes	splash	NNS
20165	2100	33	of	of	IN
20165	2100	34	paint	paint	NN
20165	2100	35	may	may	MD
20165	2100	36	sometimes	sometimes	RB
20165	2100	37	be	be	VB
20165	2100	38	the	the	DT
20165	2100	39	result	result	NN
20165	2100	40	,	,	,
20165	2100	41	still	still	RB
20165	2100	42	the	the	DT
20165	2100	43	effort	effort	NN
20165	2100	44	is	be	VBZ
20165	2100	45	praiseworthy	praiseworthy	JJ
20165	2100	46	.	.	.
20165	2101	1	But	but	CC
20165	2101	2	those	those	DT
20165	2101	3	who	who	WP
20165	2101	4	prefer	prefer	VBP
20165	2101	5	the	the	DT
20165	2101	6	mysterious	mysterious	JJ
20165	2101	7	lighting	lighting	NN
20165	2101	8	of	of	IN
20165	2101	9	a	a	DT
20165	2101	10	Rembrandt	Rembrandt	NNP
20165	2101	11	will	will	MD
20165	2101	12	find	find	VB
20165	2101	13	,	,	,
20165	2101	14	if	if	IN
20165	2101	15	they	-PRON-	PRP
20165	2101	16	sit	sit	VBP
20165	2101	17	contemplating	contemplate	VBG
20165	2101	18	in	in	IN
20165	2101	19	a	a	DT
20165	2101	20	room	room	NN
20165	2101	21	lit	light	VBD
20165	2101	22	with	with	IN
20165	2101	23	one	one	CD
20165	2101	24	lamp	lamp	NN
20165	2101	25	only	only	RB
20165	2101	26	,	,	,
20165	2101	27	that	that	IN
20165	2101	28	an	an	DT
20165	2101	29	endless	endless	JJ
20165	2101	30	depth	depth	NN
20165	2101	31	of	of	IN
20165	2101	32	mystery	mystery	NN
20165	2101	33	surrounds	surround	VBZ
20165	2101	34	them	-PRON-	PRP
20165	2101	35	,	,	,
20165	2101	36	full	full	JJ
20165	2101	37	of	of	IN
20165	2101	38	dark	dark	JJ
20165	2101	39	recesses	recess	NNS
20165	2101	40	peopled	people	VBN
20165	2101	41	by	by	IN
20165	2101	42	fancy	fancy	JJ
20165	2101	43	and	and	CC
20165	2101	44	sweet	sweet	JJ
20165	2101	45	thought	thought	NN
20165	2101	46	,	,	,
20165	2101	47	whilst	whilst	IN
20165	2101	48	the	the	DT
20165	2101	49	most	most	RBS
20165	2101	50	beautiful	beautiful	JJ
20165	2101	51	gradations	gradation	NNS
20165	2101	52	soften	soften	VBP
20165	2101	53	the	the	DT
20165	2101	54	forms	form	NNS
20165	2101	55	without	without	IN
20165	2101	56	distorting	distort	VBG
20165	2101	57	them	-PRON-	PRP
20165	2101	58	;	;	:
20165	2101	59	and	and	CC
20165	2101	60	at	at	IN
20165	2101	61	the	the	DT
20165	2101	62	same	same	JJ
20165	2101	63	time	time	NN
20165	2101	64	he	-PRON-	PRP
20165	2101	65	can	can	MD
20165	2101	66	detect	detect	VB
20165	2101	67	the	the	DT
20165	2101	68	laws	law	NNS
20165	2101	69	of	of	IN
20165	2101	70	this	this	DT
20165	2101	71	science	science	NN
20165	2101	72	of	of	IN
20165	2101	73	light	light	NN
20165	2101	74	and	and	CC
20165	2101	75	shade	shade	VB
20165	2101	76	a	a	DT
20165	2101	77	thousand	thousand	CD
20165	2101	78	times	time	NNS
20165	2101	79	repeated	repeat	VBN
20165	2101	80	and	and	CC
20165	2101	81	endless	endless	JJ
20165	2101	82	in	in	IN
20165	2101	83	its	-PRON-	PRP$
20165	2101	84	variety	variety	NN
20165	2101	85	.	.	.
20165	2102	1	_	_	NNP
20165	2102	2	Note._--Fig	Note._--Fig	NNP
20165	2102	3	.	.	.
20165	2103	1	288	288	CD
20165	2103	2	must	must	MD
20165	2103	3	be	be	VB
20165	2103	4	looked	look	VBN
20165	2103	5	upon	upon	IN
20165	2103	6	as	as	IN
20165	2103	7	a	a	DT
20165	2103	8	rough	rough	JJ
20165	2103	9	sketch	sketch	NN
20165	2103	10	which	which	WDT
20165	2103	11	only	only	RB
20165	2103	12	gives	give	VBZ
20165	2103	13	the	the	DT
20165	2103	14	general	general	JJ
20165	2103	15	effect	effect	NN
20165	2103	16	of	of	IN
20165	2103	17	the	the	DT
20165	2103	18	original	original	JJ
20165	2103	19	drawing	drawing	NN
20165	2103	20	;	;	:
20165	2103	21	to	to	TO
20165	2103	22	render	render	VB
20165	2103	23	all	all	PDT
20165	2103	24	the	the	DT
20165	2103	25	delicate	delicate	JJ
20165	2103	26	tints	tint	NNS
20165	2103	27	,	,	,
20165	2103	28	tones	tone	NNS
20165	2103	29	and	and	CC
20165	2103	30	reflections	reflection	NNS
20165	2103	31	described	describe	VBN
20165	2103	32	in	in	IN
20165	2103	33	the	the	DT
20165	2103	34	text	text	NN
20165	2103	35	would	would	MD
20165	2103	36	require	require	VB
20165	2103	37	a	a	DT
20165	2103	38	highly	highly	RB
20165	2103	39	-	-	HYPH
20165	2103	40	finished	finish	VBN
20165	2103	41	reproduction	reproduction	NN
20165	2103	42	in	in	IN
20165	2103	43	half	half	JJ
20165	2103	44	-	-	HYPH
20165	2103	45	tone	tone	NN
20165	2103	46	or	or	CC
20165	2103	47	in	in	IN
20165	2103	48	colour	colour	NN
20165	2103	49	.	.	.
20165	2104	1	As	as	IN
20165	2104	2	many	many	JJ
20165	2104	3	of	of	IN
20165	2104	4	the	the	DT
20165	2104	5	figures	figure	NNS
20165	2104	6	in	in	IN
20165	2104	7	this	this	DT
20165	2104	8	book	book	NN
20165	2104	9	had	have	VBD
20165	2104	10	to	to	TO
20165	2104	11	be	be	VB
20165	2104	12	re	re	VBN
20165	2104	13	-	-	VBN
20165	2104	14	drawn	drawn	JJ
20165	2104	15	,	,	,
20165	2104	16	not	not	RB
20165	2104	17	a	a	DT
20165	2104	18	light	light	JJ
20165	2104	19	task	task	NN
20165	2104	20	,	,	,
20165	2104	21	I	-PRON-	PRP
20165	2104	22	must	must	MD
20165	2104	23	here	here	RB
20165	2104	24	thank	thank	VB
20165	2104	25	Miss	Miss	NNP
20165	2104	26	Margaret	Margaret	NNP
20165	2104	27	L.	L.	NNP
20165	2104	28	Williams	Williams	NNP
20165	2104	29	,	,	,
20165	2104	30	one	one	CD
20165	2104	31	of	of	IN
20165	2104	32	our	-PRON-	PRP$
20165	2104	33	Academy	Academy	NNP
20165	2104	34	students	student	NNS
20165	2104	35	,	,	,
20165	2104	36	for	for	IN
20165	2104	37	kindly	kindly	RB
20165	2104	38	coming	come	VBG
20165	2104	39	to	to	IN
20165	2104	40	my	-PRON-	PRP$
20165	2104	41	assistance	assistance	NN
20165	2104	42	and	and	CC
20165	2104	43	volunteering	volunteer	VBG
20165	2104	44	her	-PRON-	PRP$
20165	2104	45	careful	careful	JJ
20165	2104	46	co	co	NN
20165	2104	47	-	-	NN
20165	2104	48	operation	operation	NN
20165	2104	49	.	.	.
20165	2105	1	CLXIV	CLXIV	NNP
20165	2105	2	REFLECTION	REFLECTION	NNP
20165	2105	3	[	[	-LRB-
20165	2105	4	Transcriber	Transcriber	NNP
20165	2105	5	's	's	POS
20165	2105	6	Note	note	NN
20165	2105	7	:	:	:
20165	2105	8	In	in	IN
20165	2105	9	this	this	DT
20165	2105	10	chapter	chapter	NN
20165	2105	11	,	,	,
20165	2105	12	[	[	-LRB-
20165	2105	13	R	r	NN
20165	2105	14	]	]	-RRB-
20165	2105	15	represents	represent	VBZ
20165	2105	16	"	"	``
20165	2105	17	R	r	NN
20165	2105	18	"	"	''
20165	2105	19	printed	print	VBN
20165	2105	20	upside	upside	NN
20165	2105	21	-	-	HYPH
20165	2105	22	down	down	RB
20165	2105	23	.	.	.
20165	2105	24	]	]	-RRB-
20165	2106	1	Reflections	reflection	NNS
20165	2106	2	in	in	IN
20165	2106	3	still	still	RB
20165	2106	4	water	water	NN
20165	2106	5	can	can	MD
20165	2106	6	best	best	RB
20165	2106	7	be	be	VB
20165	2106	8	illustrated	illustrate	VBN
20165	2106	9	by	by	IN
20165	2106	10	placing	place	VBG
20165	2106	11	some	some	DT
20165	2106	12	simple	simple	JJ
20165	2106	13	object	object	NN
20165	2106	14	,	,	,
20165	2106	15	such	such	JJ
20165	2106	16	as	as	IN
20165	2106	17	a	a	DT
20165	2106	18	cube	cube	NN
20165	2106	19	,	,	,
20165	2106	20	on	on	IN
20165	2106	21	a	a	DT
20165	2106	22	looking	look	VBG
20165	2106	23	-	-	HYPH
20165	2106	24	glass	glass	NN
20165	2106	25	laid	lay	VBN
20165	2106	26	horizontally	horizontally	RB
20165	2106	27	on	on	IN
20165	2106	28	a	a	DT
20165	2106	29	table	table	NN
20165	2106	30	,	,	,
20165	2106	31	or	or	CC
20165	2106	32	by	by	IN
20165	2106	33	studying	study	VBG
20165	2106	34	plants	plant	NNS
20165	2106	35	,	,	,
20165	2106	36	stones	stone	NNS
20165	2106	37	,	,	,
20165	2106	38	banks	bank	NNS
20165	2106	39	,	,	,
20165	2106	40	trees	tree	NNS
20165	2106	41	,	,	,
20165	2106	42	&	&	CC
20165	2106	43	c.	c.	NNP
20165	2106	44	,	,	,
20165	2106	45	reflected	reflect	VBD
20165	2106	46	in	in	IN
20165	2106	47	some	some	DT
20165	2106	48	quiet	quiet	JJ
20165	2106	49	pond	pond	NN
20165	2106	50	.	.	.
20165	2107	1	It	-PRON-	PRP
20165	2107	2	will	will	MD
20165	2107	3	then	then	RB
20165	2107	4	be	be	VB
20165	2107	5	seen	see	VBN
20165	2107	6	that	that	IN
20165	2107	7	the	the	DT
20165	2107	8	reflection	reflection	NN
20165	2107	9	is	be	VBZ
20165	2107	10	the	the	DT
20165	2107	11	counterpart	counterpart	NN
20165	2107	12	of	of	IN
20165	2107	13	the	the	DT
20165	2107	14	object	object	NN
20165	2107	15	reversed	reverse	VBD
20165	2107	16	,	,	,
20165	2107	17	and	and	CC
20165	2107	18	having	have	VBG
20165	2107	19	the	the	DT
20165	2107	20	same	same	JJ
20165	2107	21	vanishing	vanishing	JJ
20165	2107	22	points	point	NNS
20165	2107	23	as	as	IN
20165	2107	24	the	the	DT
20165	2107	25	object	object	NN
20165	2107	26	itself	-PRON-	PRP
20165	2107	27	.	.	.
20165	2108	1	[	[	-LRB-
20165	2108	2	Illustration	illustration	NN
20165	2108	3	:	:	:
20165	2108	4	Fig	Fig	NNP
20165	2108	5	.	.	.
20165	2109	1	289	289	CD
20165	2109	2	.	.	.
20165	2109	3	]	]	-RRB-
20165	2110	1	Let	let	VB
20165	2110	2	us	-PRON-	PRP
20165	2110	3	suppose	suppose	VB
20165	2110	4	_	_	NNP
20165	2110	5	R	R	NNP
20165	2110	6	_	_	NNP
20165	2110	7	(	(	-LRB-
20165	2110	8	Fig	fig	NN
20165	2110	9	.	.	.
20165	2111	1	289	289	CD
20165	2111	2	)	)	-RRB-
20165	2111	3	to	to	TO
20165	2111	4	be	be	VB
20165	2111	5	standing	stand	VBG
20165	2111	6	on	on	IN
20165	2111	7	the	the	DT
20165	2111	8	water	water	NN
20165	2111	9	or	or	CC
20165	2111	10	reflecting	reflect	VBG
20165	2111	11	plane	plane	NN
20165	2111	12	.	.	.
20165	2112	1	To	to	TO
20165	2112	2	find	find	VB
20165	2112	3	its	-PRON-	PRP$
20165	2112	4	reflection	reflection	NN
20165	2112	5	make	make	VB
20165	2112	6	square	square	JJ
20165	2112	7	[	[	-LRB-
20165	2112	8	R	r	NN
20165	2112	9	]	]	-RRB-
20165	2112	10	equal	equal	JJ
20165	2112	11	to	to	IN
20165	2112	12	the	the	DT
20165	2112	13	original	original	JJ
20165	2112	14	square	square	NN
20165	2112	15	_	_	NNP
20165	2112	16	R	R	NNP
20165	2112	17	_	_	NNP
20165	2112	18	.	.	.
20165	2113	1	Complete	complete	VB
20165	2113	2	the	the	DT
20165	2113	3	reversed	reversed	JJ
20165	2113	4	cube	cube	NN
20165	2113	5	by	by	IN
20165	2113	6	drawing	draw	VBG
20165	2113	7	its	-PRON-	PRP$
20165	2113	8	other	other	JJ
20165	2113	9	sides	side	NNS
20165	2113	10	,	,	,
20165	2113	11	&	&	CC
20165	2113	12	c.	c.	CC
20165	2113	13	It	-PRON-	PRP
20165	2113	14	is	be	VBZ
20165	2113	15	evident	evident	JJ
20165	2113	16	that	that	IN
20165	2113	17	this	this	DT
20165	2113	18	lower	low	JJR
20165	2113	19	cube	cube	NN
20165	2113	20	is	be	VBZ
20165	2113	21	the	the	DT
20165	2113	22	reflection	reflection	NN
20165	2113	23	of	of	IN
20165	2113	24	the	the	DT
20165	2113	25	one	one	NN
20165	2113	26	above	above	IN
20165	2113	27	it	-PRON-	PRP
20165	2113	28	,	,	,
20165	2113	29	although	although	IN
20165	2113	30	it	-PRON-	PRP
20165	2113	31	differs	differ	VBZ
20165	2113	32	in	in	IN
20165	2113	33	one	one	CD
20165	2113	34	respect	respect	NN
20165	2113	35	,	,	,
20165	2113	36	for	for	IN
20165	2113	37	whereas	wherea	NNS
20165	2113	38	in	in	IN
20165	2113	39	figure	figure	NN
20165	2113	40	_	_	NNP
20165	2113	41	R	R	NNP
20165	2113	42	_	_	NNP
20165	2113	43	the	the	DT
20165	2113	44	top	top	NN
20165	2113	45	of	of	IN
20165	2113	46	the	the	DT
20165	2113	47	cube	cube	NN
20165	2113	48	is	be	VBZ
20165	2113	49	seen	see	VBN
20165	2113	50	,	,	,
20165	2113	51	in	in	IN
20165	2113	52	its	-PRON-	PRP$
20165	2113	53	reflection	reflection	NN
20165	2113	54	[	[	-LRB-
20165	2113	55	R	r	NN
20165	2113	56	]	]	-RRB-
20165	2113	57	it	-PRON-	PRP
20165	2113	58	is	be	VBZ
20165	2113	59	hidden	hide	VBN
20165	2113	60	,	,	,
20165	2113	61	&	&	CC
20165	2113	62	c.	c.	NNP
20165	2113	63	In	in	IN
20165	2113	64	figure	figure	NN
20165	2113	65	A	a	NN
20165	2113	66	of	of	IN
20165	2113	67	a	a	DT
20165	2113	68	semicircular	semicircular	JJ
20165	2113	69	arch	arch	NN
20165	2113	70	we	-PRON-	PRP
20165	2113	71	see	see	VBP
20165	2113	72	the	the	DT
20165	2113	73	underneath	underneath	JJ
20165	2113	74	portion	portion	NN
20165	2113	75	of	of	IN
20165	2113	76	the	the	DT
20165	2113	77	arch	arch	NN
20165	2113	78	reflected	reflect	VBN
20165	2113	79	in	in	IN
20165	2113	80	the	the	DT
20165	2113	81	water	water	NN
20165	2113	82	,	,	,
20165	2113	83	but	but	CC
20165	2113	84	we	-PRON-	PRP
20165	2113	85	do	do	VBP
20165	2113	86	not	not	RB
20165	2113	87	see	see	VB
20165	2113	88	it	-PRON-	PRP
20165	2113	89	in	in	IN
20165	2113	90	the	the	DT
20165	2113	91	actual	actual	JJ
20165	2113	92	object	object	NN
20165	2113	93	.	.	.
20165	2114	1	However	however	RB
20165	2114	2	,	,	,
20165	2114	3	these	these	DT
20165	2114	4	things	thing	NNS
20165	2114	5	are	be	VBP
20165	2114	6	obvious	obvious	JJ
20165	2114	7	.	.	.
20165	2115	1	Note	note	VB
20165	2115	2	that	that	IN
20165	2115	3	the	the	DT
20165	2115	4	reflected	reflected	JJ
20165	2115	5	line	line	NN
20165	2115	6	must	must	MD
20165	2115	7	be	be	VB
20165	2115	8	equal	equal	JJ
20165	2115	9	in	in	IN
20165	2115	10	length	length	NN
20165	2115	11	to	to	IN
20165	2115	12	the	the	DT
20165	2115	13	actual	actual	JJ
20165	2115	14	one	one	NN
20165	2115	15	,	,	,
20165	2115	16	or	or	CC
20165	2115	17	the	the	DT
20165	2115	18	reflection	reflection	NN
20165	2115	19	of	of	IN
20165	2115	20	a	a	DT
20165	2115	21	square	square	NN
20165	2115	22	would	would	MD
20165	2115	23	not	not	RB
20165	2115	24	be	be	VB
20165	2115	25	a	a	DT
20165	2115	26	square	square	NN
20165	2115	27	,	,	,
20165	2115	28	nor	nor	CC
20165	2115	29	that	that	DT
20165	2115	30	of	of	IN
20165	2115	31	a	a	DT
20165	2115	32	semicircle	semicircle	NN
20165	2115	33	a	a	DT
20165	2115	34	semicircle	semicircle	NN
20165	2115	35	.	.	.
20165	2116	1	The	the	DT
20165	2116	2	apparent	apparent	JJ
20165	2116	3	lengthening	lengthening	NN
20165	2116	4	of	of	IN
20165	2116	5	reflections	reflection	NNS
20165	2116	6	in	in	IN
20165	2116	7	water	water	NN
20165	2116	8	is	be	VBZ
20165	2116	9	owing	owe	VBG
20165	2116	10	to	to	IN
20165	2116	11	the	the	DT
20165	2116	12	surface	surface	NN
20165	2116	13	being	be	VBG
20165	2116	14	broken	break	VBN
20165	2116	15	by	by	IN
20165	2116	16	wavelets	wavelet	NNS
20165	2116	17	,	,	,
20165	2116	18	which	which	WDT
20165	2116	19	,	,	,
20165	2116	20	leaping	leap	VBG
20165	2116	21	up	up	RP
20165	2116	22	near	near	RB
20165	2116	23	to	to	IN
20165	2116	24	us	-PRON-	PRP
20165	2116	25	,	,	,
20165	2116	26	catch	catch	VB
20165	2116	27	some	some	DT
20165	2116	28	of	of	IN
20165	2116	29	the	the	DT
20165	2116	30	image	image	NN
20165	2116	31	of	of	IN
20165	2116	32	the	the	DT
20165	2116	33	tree	tree	NN
20165	2116	34	,	,	,
20165	2116	35	or	or	CC
20165	2116	36	whatever	whatever	WDT
20165	2116	37	it	-PRON-	PRP
20165	2116	38	is	be	VBZ
20165	2116	39	,	,	,
20165	2116	40	that	that	IN
20165	2116	41	it	-PRON-	PRP
20165	2116	42	is	be	VBZ
20165	2116	43	reflected	reflect	VBN
20165	2116	44	.	.	.
20165	2117	1	[	[	-LRB-
20165	2117	2	Illustration	illustration	NN
20165	2117	3	:	:	:
20165	2117	4	Fig	Fig	NNP
20165	2117	5	.	.	.
20165	2118	1	290	290	CD
20165	2118	2	.	.	.
20165	2118	3	]	]	-RRB-
20165	2119	1	In	in	IN
20165	2119	2	this	this	DT
20165	2119	3	view	view	NN
20165	2119	4	of	of	IN
20165	2119	5	an	an	DT
20165	2119	6	arch	arch	NN
20165	2119	7	(	(	-LRB-
20165	2119	8	Fig	fig	NN
20165	2119	9	.	.	.
20165	2120	1	290	290	CD
20165	2120	2	)	)	-RRB-
20165	2120	3	note	note	VBP
20165	2120	4	that	that	IN
20165	2120	5	the	the	DT
20165	2120	6	reflection	reflection	NN
20165	2120	7	is	be	VBZ
20165	2120	8	obtained	obtain	VBN
20165	2120	9	by	by	IN
20165	2120	10	dropping	drop	VBG
20165	2120	11	perpendiculars	perpendicular	NNS
20165	2120	12	from	from	IN
20165	2120	13	certain	certain	JJ
20165	2120	14	points	point	NNS
20165	2120	15	on	on	IN
20165	2120	16	the	the	DT
20165	2120	17	arch	arch	NN
20165	2120	18	,	,	,
20165	2120	19	1	1	CD
20165	2120	20	,	,	,
20165	2120	21	0	0	CD
20165	2120	22	,	,	,
20165	2120	23	2	2	CD
20165	2120	24	,	,	,
20165	2120	25	&	&	CC
20165	2120	26	c.	c.	NNP
20165	2120	27	,	,	,
20165	2120	28	to	to	IN
20165	2120	29	the	the	DT
20165	2120	30	surface	surface	NN
20165	2120	31	of	of	IN
20165	2120	32	the	the	DT
20165	2120	33	reflecting	reflect	VBG
20165	2120	34	plane	plane	NN
20165	2120	35	,	,	,
20165	2120	36	and	and	CC
20165	2120	37	then	then	RB
20165	2120	38	measuring	measure	VBG
20165	2120	39	the	the	DT
20165	2120	40	same	same	JJ
20165	2120	41	lengths	length	NNS
20165	2120	42	downwards	downwards	RB
20165	2120	43	to	to	IN
20165	2120	44	corresponding	corresponding	JJ
20165	2120	45	points	point	NNS
20165	2120	46	,	,	,
20165	2120	47	1	1	CD
20165	2120	48	,	,	,
20165	2120	49	0	0	CD
20165	2120	50	,	,	,
20165	2120	51	2	2	CD
20165	2120	52	,	,	,
20165	2120	53	&	&	CC
20165	2120	54	c.	c.	NNP
20165	2120	55	,	,	,
20165	2120	56	in	in	IN
20165	2120	57	the	the	DT
20165	2120	58	reflection	reflection	NN
20165	2120	59	.	.	.
20165	2121	1	CLXV	CLXV	NNP
20165	2121	2	ANGLES	angle	NNS
20165	2121	3	OF	of	IN
20165	2121	4	REFLECTION	reflection	NN
20165	2121	5	In	in	IN
20165	2121	6	Fig	Fig	NNP
20165	2121	7	.	.	.
20165	2122	1	291	291	CD
20165	2122	2	we	-PRON-	PRP
20165	2122	3	take	take	VBP
20165	2122	4	a	a	DT
20165	2122	5	side	side	JJ
20165	2122	6	view	view	NN
20165	2122	7	of	of	IN
20165	2122	8	the	the	DT
20165	2122	9	reflected	reflected	JJ
20165	2122	10	object	object	NN
20165	2122	11	in	in	IN
20165	2122	12	order	order	NN
20165	2122	13	to	to	TO
20165	2122	14	show	show	VB
20165	2122	15	that	that	IN
20165	2122	16	at	at	IN
20165	2122	17	whatever	whatever	WDT
20165	2122	18	angle	angle	NN
20165	2122	19	the	the	DT
20165	2122	20	visual	visual	JJ
20165	2122	21	ray	ray	NN
20165	2122	22	strikes	strike	VBZ
20165	2122	23	the	the	DT
20165	2122	24	reflecting	reflect	VBG
20165	2122	25	surface	surface	NN
20165	2122	26	it	-PRON-	PRP
20165	2122	27	is	be	VBZ
20165	2122	28	reflected	reflect	VBN
20165	2122	29	from	from	IN
20165	2122	30	it	-PRON-	PRP
20165	2122	31	at	at	IN
20165	2122	32	the	the	DT
20165	2122	33	same	same	JJ
20165	2122	34	angle	angle	NN
20165	2122	35	.	.	.
20165	2123	1	[	[	-LRB-
20165	2123	2	Illustration	illustration	NN
20165	2123	3	:	:	:
20165	2123	4	Fig	Fig	NNP
20165	2123	5	.	.	.
20165	2124	1	291	291	CD
20165	2124	2	.	.	.
20165	2124	3	]	]	-RRB-
20165	2125	1	We	-PRON-	PRP
20165	2125	2	have	have	VBP
20165	2125	3	seen	see	VBN
20165	2125	4	that	that	IN
20165	2125	5	the	the	DT
20165	2125	6	reflected	reflected	JJ
20165	2125	7	line	line	NN
20165	2125	8	must	must	MD
20165	2125	9	be	be	VB
20165	2125	10	equal	equal	JJ
20165	2125	11	to	to	IN
20165	2125	12	the	the	DT
20165	2125	13	original	original	JJ
20165	2125	14	line	line	NN
20165	2125	15	,	,	,
20165	2125	16	therefore	therefore	RB
20165	2125	17	_	_	NNP
20165	2125	18	mB	mB	NNP
20165	2125	19	_	_	NNP
20165	2125	20	must	must	MD
20165	2125	21	equal	equal	VB
20165	2125	22	_	_	NNP
20165	2125	23	Ma	Ma	NNP
20165	2125	24	_	_	NNP
20165	2125	25	.	.	.
20165	2126	1	They	-PRON-	PRP
20165	2126	2	are	be	VBP
20165	2126	3	also	also	RB
20165	2126	4	at	at	IN
20165	2126	5	right	right	JJ
20165	2126	6	angles	angle	NNS
20165	2126	7	to	to	IN
20165	2126	8	_	_	NNP
20165	2126	9	MN	MN	NNP
20165	2126	10	_	_	NNP
20165	2126	11	,	,	,
20165	2126	12	the	the	DT
20165	2126	13	plane	plane	NN
20165	2126	14	of	of	IN
20165	2126	15	reflection	reflection	NN
20165	2126	16	.	.	.
20165	2127	1	We	-PRON-	PRP
20165	2127	2	will	will	MD
20165	2127	3	now	now	RB
20165	2127	4	draw	draw	VB
20165	2127	5	the	the	DT
20165	2127	6	visual	visual	JJ
20165	2127	7	ray	ray	NN
20165	2127	8	passing	pass	VBG
20165	2127	9	from	from	IN
20165	2127	10	_	_	NNP
20165	2127	11	E	E	NNP
20165	2127	12	_	_	NNP
20165	2127	13	,	,	,
20165	2127	14	the	the	DT
20165	2127	15	eye	eye	NN
20165	2127	16	,	,	,
20165	2127	17	to	to	IN
20165	2127	18	_	_	NNP
20165	2127	19	B	B	NNP
20165	2127	20	_	_	NNP
20165	2127	21	,	,	,
20165	2127	22	which	which	WDT
20165	2127	23	is	be	VBZ
20165	2127	24	the	the	DT
20165	2127	25	reflection	reflection	NN
20165	2127	26	of	of	IN
20165	2127	27	_	_	NNP
20165	2127	28	A	A	NNP
20165	2127	29	_	_	NNP
20165	2127	30	;	;	:
20165	2127	31	and	and	CC
20165	2127	32	just	just	RB
20165	2127	33	underneath	underneath	IN
20165	2127	34	it	-PRON-	PRP
20165	2127	35	passes	pass	VBZ
20165	2127	36	through	through	IN
20165	2127	37	_	_	NNP
20165	2127	38	MN	MN	NNP
20165	2127	39	_	_	NNP
20165	2127	40	at	at	IN
20165	2127	41	_	_	NNP
20165	2127	42	O	O	NNP
20165	2127	43	_	_	NNP
20165	2127	44	,	,	,
20165	2127	45	which	which	WDT
20165	2127	46	is	be	VBZ
20165	2127	47	the	the	DT
20165	2127	48	point	point	NN
20165	2127	49	where	where	WRB
20165	2127	50	the	the	DT
20165	2127	51	visual	visual	JJ
20165	2127	52	ray	ray	NN
20165	2127	53	strikes	strike	VBZ
20165	2127	54	the	the	DT
20165	2127	55	reflecting	reflect	VBG
20165	2127	56	surface	surface	NN
20165	2127	57	.	.	.
20165	2128	1	Draw	draw	VB
20165	2128	2	_	_	NNP
20165	2128	3	OA	OA	NNP
20165	2128	4	_	_	NNP
20165	2128	5	.	.	.
20165	2129	1	This	this	DT
20165	2129	2	line	line	NN
20165	2129	3	represents	represent	VBZ
20165	2129	4	the	the	DT
20165	2129	5	ray	ray	NN
20165	2129	6	reflected	reflect	VBN
20165	2129	7	from	from	IN
20165	2129	8	it	-PRON-	PRP
20165	2129	9	.	.	.
20165	2130	1	We	-PRON-	PRP
20165	2130	2	have	have	VBP
20165	2130	3	now	now	RB
20165	2130	4	two	two	CD
20165	2130	5	triangles	triangle	NNS
20165	2130	6	,	,	,
20165	2130	7	_	_	NNP
20165	2130	8	OAm	OAm	NNP
20165	2130	9	_	_	NNP
20165	2130	10	and	and	CC
20165	2130	11	_	_	NNP
20165	2130	12	OmB	OmB	NNP
20165	2130	13	_	_	NNP
20165	2130	14	,	,	,
20165	2130	15	which	which	WDT
20165	2130	16	are	be	VBP
20165	2130	17	right	right	RB
20165	2130	18	-	-	HYPH
20165	2130	19	angled	angle	VBN
20165	2130	20	triangles	triangle	NNS
20165	2130	21	and	and	CC
20165	2130	22	equal	equal	JJ
20165	2130	23	,	,	,
20165	2130	24	therefore	therefore	RB
20165	2130	25	angle	angle	NNP
20165	2130	26	_	_	NNP
20165	2130	27	a	a	DT
20165	2130	28	_	_	NNP
20165	2130	29	equals	equal	VBZ
20165	2130	30	angle	angle	NN
20165	2130	31	_	_	NNP
20165	2130	32	b	b	NNP
20165	2130	33	_	_	NNP
20165	2130	34	.	.	.
20165	2131	1	But	but	CC
20165	2131	2	angle	angle	NNP
20165	2131	3	_	_	NNP
20165	2131	4	b	b	NNP
20165	2131	5	_	_	NNP
20165	2131	6	equals	equal	VBZ
20165	2131	7	angle	angle	NN
20165	2131	8	_	_	NNP
20165	2131	9	c	c	NNP
20165	2131	10	_	_	NNP
20165	2131	11	.	.	.
20165	2132	1	Therefore	therefore	RB
20165	2132	2	angle	angle	NN
20165	2132	3	_	_	NNP
20165	2132	4	EcM	EcM	NNP
20165	2132	5	_	_	NNP
20165	2132	6	equals	equal	VBZ
20165	2132	7	angle	angle	NN
20165	2132	8	_	_	NNP
20165	2132	9	Aam	Aam	NNP
20165	2132	10	_	_	NNP
20165	2132	11	,	,	,
20165	2132	12	and	and	CC
20165	2132	13	the	the	DT
20165	2132	14	angle	angle	NN
20165	2132	15	at	at	IN
20165	2132	16	which	which	WDT
20165	2132	17	the	the	DT
20165	2132	18	ray	ray	NN
20165	2132	19	strikes	strike	VBZ
20165	2132	20	the	the	DT
20165	2132	21	reflecting	reflect	VBG
20165	2132	22	plane	plane	NN
20165	2132	23	is	be	VBZ
20165	2132	24	equal	equal	JJ
20165	2132	25	to	to	IN
20165	2132	26	the	the	DT
20165	2132	27	angle	angle	NN
20165	2132	28	at	at	IN
20165	2132	29	which	which	WDT
20165	2132	30	it	-PRON-	PRP
20165	2132	31	is	be	VBZ
20165	2132	32	reflected	reflect	VBN
20165	2132	33	from	from	IN
20165	2132	34	it	-PRON-	PRP
20165	2132	35	.	.	.
20165	2133	1	CLXVI	CLXVI	NNP
20165	2133	2	REFLECTIONS	REFLECTIONS	NNP
20165	2133	3	OF	of	IN
20165	2133	4	OBJECTS	OBJECTS	NNP
20165	2133	5	AT	at	IN
20165	2133	6	DIFFERENT	DIFFERENT	NNP
20165	2133	7	DISTANCES	DISTANCES	NNP
20165	2133	8	In	in	IN
20165	2133	9	this	this	DT
20165	2133	10	sketch	sketch	NN
20165	2133	11	the	the	DT
20165	2133	12	four	four	CD
20165	2133	13	posts	post	NNS
20165	2133	14	and	and	CC
20165	2133	15	other	other	JJ
20165	2133	16	objects	object	NNS
20165	2133	17	are	be	VBP
20165	2133	18	represented	represent	VBN
20165	2133	19	standing	stand	VBG
20165	2133	20	on	on	IN
20165	2133	21	a	a	DT
20165	2133	22	plane	plane	NN
20165	2133	23	level	level	NN
20165	2133	24	or	or	CC
20165	2133	25	almost	almost	RB
20165	2133	26	level	level	NN
20165	2133	27	with	with	IN
20165	2133	28	the	the	DT
20165	2133	29	water	water	NN
20165	2133	30	,	,	,
20165	2133	31	in	in	IN
20165	2133	32	order	order	NN
20165	2133	33	to	to	TO
20165	2133	34	show	show	VB
20165	2133	35	the	the	DT
20165	2133	36	working	working	NN
20165	2133	37	of	of	IN
20165	2133	38	our	-PRON-	PRP$
20165	2133	39	problem	problem	NN
20165	2133	40	more	more	RBR
20165	2133	41	clearly	clearly	RB
20165	2133	42	.	.	.
20165	2134	1	It	-PRON-	PRP
20165	2134	2	will	will	MD
20165	2134	3	be	be	VB
20165	2134	4	seen	see	VBN
20165	2134	5	that	that	IN
20165	2134	6	the	the	DT
20165	2134	7	post	post	NN
20165	2134	8	_	_	NNP
20165	2134	9	A	A	NNP
20165	2134	10	_	_	NNP
20165	2134	11	is	be	VBZ
20165	2134	12	on	on	IN
20165	2134	13	the	the	DT
20165	2134	14	brink	brink	NN
20165	2134	15	of	of	IN
20165	2134	16	the	the	DT
20165	2134	17	reflecting	reflect	VBG
20165	2134	18	plane	plane	NN
20165	2134	19	,	,	,
20165	2134	20	and	and	CC
20165	2134	21	therefore	therefore	RB
20165	2134	22	is	be	VBZ
20165	2134	23	entirely	entirely	RB
20165	2134	24	reflected	reflect	VBN
20165	2134	25	;	;	:
20165	2134	26	_	_	NNP
20165	2134	27	B	B	NNP
20165	2134	28	_	_	NNP
20165	2134	29	and	and	CC
20165	2134	30	_	_	NNP
20165	2134	31	C	C	NNP
20165	2134	32	_	_	NNP
20165	2134	33	being	be	VBG
20165	2134	34	farther	far	RBR
20165	2134	35	back	back	RB
20165	2134	36	are	be	VBP
20165	2134	37	only	only	RB
20165	2134	38	partially	partially	RB
20165	2134	39	seen	see	VBN
20165	2134	40	,	,	,
20165	2134	41	whereas	whereas	IN
20165	2134	42	the	the	DT
20165	2134	43	reflection	reflection	NN
20165	2134	44	of	of	IN
20165	2134	45	_	_	NNP
20165	2134	46	D	D	NNP
20165	2134	47	_	_	NNP
20165	2134	48	is	be	VBZ
20165	2134	49	not	not	RB
20165	2134	50	seen	see	VBN
20165	2134	51	at	at	RB
20165	2134	52	all	all	RB
20165	2134	53	.	.	.
20165	2135	1	I	-PRON-	PRP
20165	2135	2	have	have	VBP
20165	2135	3	made	make	VBN
20165	2135	4	all	all	PDT
20165	2135	5	the	the	DT
20165	2135	6	posts	post	NNS
20165	2135	7	the	the	DT
20165	2135	8	same	same	JJ
20165	2135	9	height	height	NN
20165	2135	10	,	,	,
20165	2135	11	but	but	CC
20165	2135	12	with	with	IN
20165	2135	13	regard	regard	NN
20165	2135	14	to	to	IN
20165	2135	15	the	the	DT
20165	2135	16	houses	house	NNS
20165	2135	17	,	,	,
20165	2135	18	where	where	WRB
20165	2135	19	the	the	DT
20165	2135	20	length	length	NN
20165	2135	21	of	of	IN
20165	2135	22	the	the	DT
20165	2135	23	vertical	vertical	JJ
20165	2135	24	lines	line	NNS
20165	2135	25	varies	vary	VBZ
20165	2135	26	,	,	,
20165	2135	27	we	-PRON-	PRP
20165	2135	28	obtain	obtain	VBP
20165	2135	29	their	-PRON-	PRP$
20165	2135	30	reflections	reflection	NNS
20165	2135	31	by	by	IN
20165	2135	32	measuring	measure	VBG
20165	2135	33	from	from	IN
20165	2135	34	the	the	DT
20165	2135	35	points	point	NNS
20165	2135	36	_	_	NNP
20165	2135	37	oo	oo	IN
20165	2135	38	_	_	NNP
20165	2135	39	upwards	upward	NNS
20165	2135	40	and	and	CC
20165	2135	41	downwards	downwards	RB
20165	2135	42	as	as	IN
20165	2135	43	in	in	IN
20165	2135	44	the	the	DT
20165	2135	45	previous	previous	JJ
20165	2135	46	figure	figure	NN
20165	2135	47	.	.	.
20165	2136	1	[	[	-LRB-
20165	2136	2	Illustration	illustration	NN
20165	2136	3	:	:	:
20165	2136	4	Fig	Fig	NNP
20165	2136	5	.	.	.
20165	2137	1	292	292	CD
20165	2137	2	.	.	.
20165	2137	3	]	]	-RRB-
20165	2138	1	Of	of	RB
20165	2138	2	course	course	RB
20165	2138	3	these	these	DT
20165	2138	4	reflections	reflection	NNS
20165	2138	5	vary	vary	VBP
20165	2138	6	according	accord	VBG
20165	2138	7	to	to	IN
20165	2138	8	the	the	DT
20165	2138	9	position	position	NN
20165	2138	10	they	-PRON-	PRP
20165	2138	11	are	be	VBP
20165	2138	12	viewed	view	VBN
20165	2138	13	from	from	IN
20165	2138	14	;	;	:
20165	2138	15	the	the	DT
20165	2138	16	lower	lower	RBR
20165	2138	17	we	-PRON-	PRP
20165	2138	18	are	be	VBP
20165	2138	19	down	down	RB
20165	2138	20	,	,	,
20165	2138	21	the	the	DT
20165	2138	22	more	more	JJR
20165	2138	23	do	do	VBP
20165	2138	24	we	-PRON-	PRP
20165	2138	25	see	see	VB
20165	2138	26	of	of	IN
20165	2138	27	the	the	DT
20165	2138	28	reflections	reflection	NNS
20165	2138	29	of	of	IN
20165	2138	30	distant	distant	JJ
20165	2138	31	objects	object	NNS
20165	2138	32	,	,	,
20165	2138	33	and	and	CC
20165	2138	34	vice	vice	NN
20165	2138	35	versa	versa	RB
20165	2138	36	.	.	.
20165	2139	1	When	when	WRB
20165	2139	2	the	the	DT
20165	2139	3	figures	figure	NNS
20165	2139	4	are	be	VBP
20165	2139	5	on	on	IN
20165	2139	6	a	a	DT
20165	2139	7	higher	high	JJR
20165	2139	8	plane	plane	NN
20165	2139	9	than	than	IN
20165	2139	10	the	the	DT
20165	2139	11	water	water	NN
20165	2139	12	,	,	,
20165	2139	13	that	that	RB
20165	2139	14	is	is	RB
20165	2139	15	,	,	,
20165	2139	16	above	above	IN
20165	2139	17	the	the	DT
20165	2139	18	plane	plane	NN
20165	2139	19	of	of	IN
20165	2139	20	reflection	reflection	NN
20165	2139	21	,	,	,
20165	2139	22	we	-PRON-	PRP
20165	2139	23	have	have	VBP
20165	2139	24	to	to	TO
20165	2139	25	find	find	VB
20165	2139	26	their	-PRON-	PRP$
20165	2139	27	perspective	perspective	JJ
20165	2139	28	position	position	NN
20165	2139	29	,	,	,
20165	2139	30	and	and	CC
20165	2139	31	drop	drop	VB
20165	2139	32	a	a	DT
20165	2139	33	perpendicular	perpendicular	JJ
20165	2139	34	_	_	NNP
20165	2139	35	AO	AO	NNP
20165	2139	36	_	_	NNP
20165	2139	37	(	(	-LRB-
20165	2139	38	Fig	Fig	NNP
20165	2139	39	.	.	.
20165	2140	1	293	293	LS
20165	2140	2	)	)	-RRB-
20165	2140	3	till	till	IN
20165	2140	4	it	-PRON-	PRP
20165	2140	5	comes	come	VBZ
20165	2140	6	in	in	IN
20165	2140	7	contact	contact	NN
20165	2140	8	with	with	IN
20165	2140	9	the	the	DT
20165	2140	10	plane	plane	NN
20165	2140	11	of	of	IN
20165	2140	12	reflection	reflection	NN
20165	2140	13	,	,	,
20165	2140	14	which	which	WDT
20165	2140	15	we	-PRON-	PRP
20165	2140	16	suppose	suppose	VBP
20165	2140	17	to	to	TO
20165	2140	18	run	run	VB
20165	2140	19	under	under	IN
20165	2140	20	the	the	DT
20165	2140	21	ground	ground	NN
20165	2140	22	,	,	,
20165	2140	23	then	then	RB
20165	2140	24	measure	measure	VB
20165	2140	25	the	the	DT
20165	2140	26	same	same	JJ
20165	2140	27	length	length	NN
20165	2140	28	downwards	downwards	RB
20165	2140	29	,	,	,
20165	2140	30	as	as	IN
20165	2140	31	in	in	IN
20165	2140	32	this	this	DT
20165	2140	33	figure	figure	NN
20165	2140	34	of	of	IN
20165	2140	35	a	a	DT
20165	2140	36	girl	girl	NN
20165	2140	37	on	on	IN
20165	2140	38	the	the	DT
20165	2140	39	top	top	NN
20165	2140	40	of	of	IN
20165	2140	41	the	the	DT
20165	2140	42	steps	step	NNS
20165	2140	43	.	.	.
20165	2141	1	Point	Point	NNP
20165	2141	2	_	_	NNP
20165	2141	3	o	o	NNP
20165	2141	4	_	_	NNP
20165	2141	5	marks	mark	VBZ
20165	2141	6	the	the	DT
20165	2141	7	point	point	NN
20165	2141	8	of	of	IN
20165	2141	9	contact	contact	NN
20165	2141	10	with	with	IN
20165	2141	11	the	the	DT
20165	2141	12	plane	plane	NN
20165	2141	13	,	,	,
20165	2141	14	and	and	CC
20165	2141	15	by	by	IN
20165	2141	16	measuring	measure	VBG
20165	2141	17	downwards	downwards	RB
20165	2141	18	to	to	IN
20165	2141	19	_	_	NNP
20165	2141	20	a	a	DT
20165	2141	21	·	·	NFP
20165	2141	22	_	_	NN
20165	2141	23	we	-PRON-	PRP
20165	2141	24	get	get	VBP
20165	2141	25	the	the	DT
20165	2141	26	length	length	NN
20165	2141	27	of	of	IN
20165	2141	28	her	-PRON-	PRP$
20165	2141	29	reflection	reflection	NN
20165	2141	30	,	,	,
20165	2141	31	or	or	CC
20165	2141	32	as	as	RB
20165	2141	33	much	much	JJ
20165	2141	34	as	as	IN
20165	2141	35	is	be	VBZ
20165	2141	36	seen	see	VBN
20165	2141	37	of	of	IN
20165	2141	38	it	-PRON-	PRP
20165	2141	39	.	.	.
20165	2142	1	Note	note	VB
20165	2142	2	the	the	DT
20165	2142	3	reflection	reflection	NN
20165	2142	4	of	of	IN
20165	2142	5	the	the	DT
20165	2142	6	steps	step	NNS
20165	2142	7	and	and	CC
20165	2142	8	the	the	DT
20165	2142	9	sloping	slope	VBG
20165	2142	10	bank	bank	NN
20165	2142	11	,	,	,
20165	2142	12	and	and	CC
20165	2142	13	the	the	DT
20165	2142	14	application	application	NN
20165	2142	15	of	of	IN
20165	2142	16	the	the	DT
20165	2142	17	inclined	inclined	JJ
20165	2142	18	plane	plane	NN
20165	2142	19	ascending	ascending	NN
20165	2142	20	and	and	CC
20165	2142	21	descending	descending	NN
20165	2142	22	.	.	.
20165	2143	1	[	[	-LRB-
20165	2143	2	Illustration	illustration	NN
20165	2143	3	:	:	:
20165	2143	4	Fig	Fig	NNP
20165	2143	5	.	.	.
20165	2144	1	293	293	CD
20165	2144	2	.	.	.
20165	2144	3	]	]	-RRB-
20165	2145	1	CLXVII	CLXVII	NNP
20165	2145	2	REFLECTION	REFLECTION	VBD
20165	2145	3	IN	in	IN
20165	2145	4	A	a	DT
20165	2145	5	LOOKING	looking	NN
20165	2145	6	-	-	HYPH
20165	2145	7	GLASS	GLASS	NNP
20165	2145	8	I	-PRON-	PRP
20165	2145	9	had	have	VBD
20165	2145	10	noticed	notice	VBN
20165	2145	11	that	that	IN
20165	2145	12	some	some	DT
20165	2145	13	of	of	IN
20165	2145	14	the	the	DT
20165	2145	15	figures	figure	NNS
20165	2145	16	in	in	IN
20165	2145	17	Titian	Titian	NNP
20165	2145	18	's	's	POS
20165	2145	19	pictures	picture	NNS
20165	2145	20	were	be	VBD
20165	2145	21	only	only	RB
20165	2145	22	half	half	JJ
20165	2145	23	life	life	NN
20165	2145	24	-	-	HYPH
20165	2145	25	size	size	NN
20165	2145	26	,	,	,
20165	2145	27	and	and	CC
20165	2145	28	yet	yet	RB
20165	2145	29	they	-PRON-	PRP
20165	2145	30	looked	look	VBD
20165	2145	31	natural	natural	JJ
20165	2145	32	;	;	:
20165	2145	33	and	and	CC
20165	2145	34	one	one	CD
20165	2145	35	day	day	NN
20165	2145	36	,	,	,
20165	2145	37	thinking	think	VBG
20165	2145	38	I	-PRON-	PRP
20165	2145	39	would	would	MD
20165	2145	40	trace	trace	VB
20165	2145	41	myself	-PRON-	PRP
20165	2145	42	in	in	IN
20165	2145	43	an	an	DT
20165	2145	44	upright	upright	JJ
20165	2145	45	mirror	mirror	NN
20165	2145	46	,	,	,
20165	2145	47	I	-PRON-	PRP
20165	2145	48	stood	stand	VBD
20165	2145	49	at	at	IN
20165	2145	50	arm	arm	NN
20165	2145	51	's	's	POS
20165	2145	52	length	length	NN
20165	2145	53	from	from	IN
20165	2145	54	it	-PRON-	PRP
20165	2145	55	and	and	CC
20165	2145	56	with	with	IN
20165	2145	57	a	a	DT
20165	2145	58	brush	brush	NN
20165	2145	59	and	and	CC
20165	2145	60	Chinese	chinese	JJ
20165	2145	61	white	white	JJ
20165	2145	62	,	,	,
20165	2145	63	I	-PRON-	PRP
20165	2145	64	made	make	VBD
20165	2145	65	a	a	DT
20165	2145	66	rough	rough	JJ
20165	2145	67	outline	outline	NN
20165	2145	68	of	of	IN
20165	2145	69	my	-PRON-	PRP$
20165	2145	70	face	face	NN
20165	2145	71	and	and	CC
20165	2145	72	figure	figure	NN
20165	2145	73	,	,	,
20165	2145	74	and	and	CC
20165	2145	75	when	when	WRB
20165	2145	76	I	-PRON-	PRP
20165	2145	77	measured	measure	VBD
20165	2145	78	it	-PRON-	PRP
20165	2145	79	I	-PRON-	PRP
20165	2145	80	found	find	VBD
20165	2145	81	that	that	IN
20165	2145	82	my	-PRON-	PRP$
20165	2145	83	drawing	drawing	NN
20165	2145	84	was	be	VBD
20165	2145	85	exactly	exactly	RB
20165	2145	86	half	half	NN
20165	2145	87	as	as	RB
20165	2145	88	long	long	JJ
20165	2145	89	and	and	CC
20165	2145	90	half	half	NN
20165	2145	91	as	as	RB
20165	2145	92	wide	wide	JJ
20165	2145	93	as	as	IN
20165	2145	94	nature	nature	NN
20165	2145	95	.	.	.
20165	2146	1	I	-PRON-	PRP
20165	2146	2	went	go	VBD
20165	2146	3	closer	close	JJR
20165	2146	4	to	to	IN
20165	2146	5	the	the	DT
20165	2146	6	glass	glass	NN
20165	2146	7	,	,	,
20165	2146	8	but	but	CC
20165	2146	9	the	the	DT
20165	2146	10	same	same	JJ
20165	2146	11	outline	outline	NN
20165	2146	12	fitted	fit	VBD
20165	2146	13	me	-PRON-	PRP
20165	2146	14	.	.	.
20165	2147	1	Then	then	RB
20165	2147	2	I	-PRON-	PRP
20165	2147	3	retreated	retreat	VBD
20165	2147	4	several	several	JJ
20165	2147	5	paces	pace	NNS
20165	2147	6	,	,	,
20165	2147	7	and	and	CC
20165	2147	8	still	still	RB
20165	2147	9	the	the	DT
20165	2147	10	same	same	JJ
20165	2147	11	outline	outline	NN
20165	2147	12	surrounded	surround	VBD
20165	2147	13	me	-PRON-	PRP
20165	2147	14	.	.	.
20165	2148	1	Although	although	IN
20165	2148	2	a	a	DT
20165	2148	3	little	little	JJ
20165	2148	4	surprising	surprising	JJ
20165	2148	5	at	at	IN
20165	2148	6	first	first	RB
20165	2148	7	,	,	,
20165	2148	8	the	the	DT
20165	2148	9	reason	reason	NN
20165	2148	10	is	be	VBZ
20165	2148	11	obvious	obvious	JJ
20165	2148	12	.	.	.
20165	2149	1	The	the	DT
20165	2149	2	image	image	NN
20165	2149	3	in	in	IN
20165	2149	4	the	the	DT
20165	2149	5	glass	glass	NN
20165	2149	6	retreats	retreat	NNS
20165	2149	7	or	or	CC
20165	2149	8	advances	advance	VBZ
20165	2149	9	exactly	exactly	RB
20165	2149	10	in	in	IN
20165	2149	11	the	the	DT
20165	2149	12	same	same	JJ
20165	2149	13	measure	measure	NN
20165	2149	14	as	as	IN
20165	2149	15	the	the	DT
20165	2149	16	spectator	spectator	NN
20165	2149	17	.	.	.
20165	2150	1	[	[	-LRB-
20165	2150	2	Illustration	illustration	NN
20165	2150	3	:	:	:
20165	2150	4	Fig	Fig	NNP
20165	2150	5	.	.	.
20165	2151	1	294	294	CD
20165	2151	2	.	.	.
20165	2151	3	]	]	-RRB-
20165	2152	1	Suppose	suppose	VB
20165	2152	2	him	-PRON-	PRP
20165	2152	3	to	to	TO
20165	2152	4	represent	represent	VB
20165	2152	5	one	one	CD
20165	2152	6	end	end	NN
20165	2152	7	of	of	IN
20165	2152	8	a	a	DT
20165	2152	9	parallelogram	parallelogram	NN
20165	2152	10	_	_	NNP
20165	2152	11	e·s	e·s	NN
20165	2152	12	·	·	NFP
20165	2152	13	_	_	NNP
20165	2152	14	,	,	,
20165	2152	15	and	and	CC
20165	2152	16	his	-PRON-	PRP$
20165	2152	17	image	image	NN
20165	2152	18	_	_	NNP
20165	2152	19	a·b	a·b	NNP
20165	2152	20	·	·	NFP
20165	2152	21	_	_	XX
20165	2152	22	to	to	TO
20165	2152	23	represent	represent	VB
20165	2152	24	the	the	DT
20165	2152	25	other	other	JJ
20165	2152	26	.	.	.
20165	2153	1	The	the	DT
20165	2153	2	mirror	mirror	NN
20165	2153	3	_	_	NNP
20165	2153	4	AB	AB	NNP
20165	2153	5	_	_	NNP
20165	2153	6	is	be	VBZ
20165	2153	7	a	a	DT
20165	2153	8	perpendicular	perpendicular	JJ
20165	2153	9	half	half	JJ
20165	2153	10	-	-	HYPH
20165	2153	11	way	way	NN
20165	2153	12	between	between	IN
20165	2153	13	them	-PRON-	PRP
20165	2153	14	,	,	,
20165	2153	15	the	the	DT
20165	2153	16	diagonal	diagonal	JJ
20165	2153	17	_	_	NNP
20165	2153	18	e·b	e·b	NNP
20165	2153	19	·	·	NFP
20165	2153	20	_	_	NNP
20165	2153	21	is	be	VBZ
20165	2153	22	the	the	DT
20165	2153	23	visual	visual	JJ
20165	2153	24	ray	ray	NN
20165	2153	25	passing	pass	VBG
20165	2153	26	from	from	IN
20165	2153	27	the	the	DT
20165	2153	28	eye	eye	NN
20165	2153	29	of	of	IN
20165	2153	30	the	the	DT
20165	2153	31	spectator	spectator	NN
20165	2153	32	to	to	IN
20165	2153	33	the	the	DT
20165	2153	34	foot	foot	NN
20165	2153	35	of	of	IN
20165	2153	36	his	-PRON-	PRP$
20165	2153	37	image	image	NN
20165	2153	38	,	,	,
20165	2153	39	and	and	CC
20165	2153	40	is	be	VBZ
20165	2153	41	the	the	DT
20165	2153	42	diagonal	diagonal	JJ
20165	2153	43	of	of	IN
20165	2153	44	a	a	DT
20165	2153	45	rectangle	rectangle	NN
20165	2153	46	,	,	,
20165	2153	47	therefore	therefore	RB
20165	2153	48	it	-PRON-	PRP
20165	2153	49	cuts	cut	VBZ
20165	2153	50	_	_	NNP
20165	2153	51	AB	AB	NNP
20165	2153	52	_	_	NNP
20165	2153	53	in	in	IN
20165	2153	54	the	the	DT
20165	2153	55	centre	centre	NN
20165	2153	56	_	_	NNP
20165	2153	57	o	o	XX
20165	2153	58	_	_	NNP
20165	2153	59	,	,	,
20165	2153	60	and	and	CC
20165	2153	61	_	_	NNP
20165	2153	62	AO	AO	NNP
20165	2153	63	_	_	NNP
20165	2153	64	represents	represent	VBZ
20165	2153	65	_	_	NNP
20165	2153	66	a·b	a·b	NNP
20165	2153	67	·	·	NFP
20165	2153	68	_	_	XX
20165	2153	69	to	to	IN
20165	2153	70	the	the	DT
20165	2153	71	spectator	spectator	NN
20165	2153	72	.	.	.
20165	2154	1	This	this	DT
20165	2154	2	is	be	VBZ
20165	2154	3	an	an	DT
20165	2154	4	experiment	experiment	NN
20165	2154	5	that	that	IN
20165	2154	6	any	any	DT
20165	2154	7	one	one	NN
20165	2154	8	may	may	MD
20165	2154	9	try	try	VB
20165	2154	10	for	for	IN
20165	2154	11	himself	-PRON-	PRP
20165	2154	12	.	.	.
20165	2155	1	Perhaps	perhaps	RB
20165	2155	2	the	the	DT
20165	2155	3	above	above	JJ
20165	2155	4	fact	fact	NN
20165	2155	5	may	may	MD
20165	2155	6	have	have	VB
20165	2155	7	something	something	NN
20165	2155	8	to	to	TO
20165	2155	9	do	do	VB
20165	2155	10	with	with	IN
20165	2155	11	the	the	DT
20165	2155	12	remarks	remark	NNS
20165	2155	13	I	-PRON-	PRP
20165	2155	14	made	make	VBD
20165	2155	15	about	about	IN
20165	2155	16	Titian	Titian	NNP
20165	2155	17	at	at	IN
20165	2155	18	the	the	DT
20165	2155	19	beginning	beginning	NN
20165	2155	20	of	of	IN
20165	2155	21	this	this	DT
20165	2155	22	chapter	chapter	NN
20165	2155	23	.	.	.
20165	2156	1	[	[	-LRB-
20165	2156	2	Illustration	illustration	NN
20165	2156	3	:	:	:
20165	2156	4	Fig	Fig	NNP
20165	2156	5	.	.	.
20165	2157	1	295	295	CD
20165	2157	2	.	.	.
20165	2157	3	]	]	-RRB-
20165	2158	1	[	[	-LRB-
20165	2158	2	Illustration	illustration	NN
20165	2158	3	:	:	:
20165	2158	4	Fig	Fig	NNP
20165	2158	5	.	.	.
20165	2159	1	296	296	CD
20165	2159	2	.	.	.
20165	2159	3	]	]	-RRB-
20165	2160	1	CLXVIII	CLXVIII	NNP
20165	2160	2	THE	the	DT
20165	2160	3	MIRROR	MIRROR	NNP
20165	2160	4	AT	at	IN
20165	2160	5	AN	an	DT
20165	2160	6	ANGLE	angle	NN
20165	2160	7	If	if	IN
20165	2160	8	an	an	DT
20165	2160	9	object	object	NN
20165	2160	10	or	or	CC
20165	2160	11	line	line	NN
20165	2160	12	_	_	NNP
20165	2160	13	AB	AB	NNP
20165	2160	14	_	_	NNP
20165	2160	15	is	be	VBZ
20165	2160	16	inclined	incline	VBN
20165	2160	17	at	at	IN
20165	2160	18	an	an	DT
20165	2160	19	angle	angle	NN
20165	2160	20	of	of	IN
20165	2160	21	45	45	CD
20165	2160	22	°	°	NNS
20165	2160	23	to	to	IN
20165	2160	24	the	the	DT
20165	2160	25	mirror	mirror	NN
20165	2160	26	_	_	NNP
20165	2160	27	RR	RR	NNP
20165	2160	28	_	_	NNP
20165	2160	29	,	,	,
20165	2160	30	then	then	RB
20165	2160	31	the	the	DT
20165	2160	32	angle	angle	NN
20165	2160	33	_	_	NNP
20165	2160	34	BAC	BAC	NNP
20165	2160	35	_	_	NNP
20165	2160	36	will	will	MD
20165	2160	37	be	be	VB
20165	2160	38	a	a	DT
20165	2160	39	right	right	JJ
20165	2160	40	angle	angle	NN
20165	2160	41	,	,	,
20165	2160	42	and	and	CC
20165	2160	43	this	this	DT
20165	2160	44	angle	angle	NN
20165	2160	45	is	be	VBZ
20165	2160	46	exactly	exactly	RB
20165	2160	47	divided	divide	VBN
20165	2160	48	in	in	IN
20165	2160	49	two	two	CD
20165	2160	50	by	by	IN
20165	2160	51	the	the	DT
20165	2160	52	reflecting	reflect	VBG
20165	2160	53	plane	plane	NN
20165	2160	54	_	_	NNP
20165	2160	55	RR	RR	NNP
20165	2160	56	_	_	NNP
20165	2160	57	.	.	.
20165	2161	1	And	and	CC
20165	2161	2	whatever	whatever	WDT
20165	2161	3	the	the	DT
20165	2161	4	angle	angle	NN
20165	2161	5	of	of	IN
20165	2161	6	the	the	DT
20165	2161	7	object	object	NN
20165	2161	8	or	or	CC
20165	2161	9	line	line	NN
20165	2161	10	makes	make	VBZ
20165	2161	11	with	with	IN
20165	2161	12	its	-PRON-	PRP$
20165	2161	13	reflection	reflection	NN
20165	2161	14	that	that	IN
20165	2161	15	angle	angle	NN
20165	2161	16	will	will	MD
20165	2161	17	also	also	RB
20165	2161	18	be	be	VB
20165	2161	19	exactly	exactly	RB
20165	2161	20	divided	divide	VBN
20165	2161	21	.	.	.
20165	2162	1	[	[	-LRB-
20165	2162	2	Illustration	illustration	NN
20165	2162	3	:	:	:
20165	2162	4	Fig	Fig	NNP
20165	2162	5	.	.	.
20165	2163	1	297	297	CD
20165	2163	2	.	.	.
20165	2163	3	]	]	-RRB-
20165	2164	1	[	[	-LRB-
20165	2164	2	Illustration	illustration	NN
20165	2164	3	:	:	:
20165	2164	4	Fig	Fig	NNP
20165	2164	5	.	.	.
20165	2165	1	298	298	CD
20165	2165	2	.	.	.
20165	2165	3	]	]	-RRB-
20165	2166	1	Now	now	RB
20165	2166	2	suppose	suppose	VB
20165	2166	3	our	-PRON-	PRP$
20165	2166	4	mirror	mirror	NN
20165	2166	5	to	to	TO
20165	2166	6	be	be	VB
20165	2166	7	standing	stand	VBG
20165	2166	8	on	on	IN
20165	2166	9	a	a	DT
20165	2166	10	horizontal	horizontal	JJ
20165	2166	11	plane	plane	NN
20165	2166	12	and	and	CC
20165	2166	13	on	on	IN
20165	2166	14	a	a	DT
20165	2166	15	pivot	pivot	NN
20165	2166	16	,	,	,
20165	2166	17	so	so	IN
20165	2166	18	that	that	IN
20165	2166	19	it	-PRON-	PRP
20165	2166	20	can	can	MD
20165	2166	21	be	be	VB
20165	2166	22	inclined	incline	VBN
20165	2166	23	either	either	DT
20165	2166	24	way	way	NN
20165	2166	25	.	.	.
20165	2167	1	Whatever	whatever	WDT
20165	2167	2	angle	angle	NN
20165	2167	3	the	the	DT
20165	2167	4	mirror	mirror	NN
20165	2167	5	is	be	VBZ
20165	2167	6	to	to	IN
20165	2167	7	the	the	DT
20165	2167	8	plane	plane	NN
20165	2167	9	the	the	DT
20165	2167	10	reflection	reflection	NN
20165	2167	11	of	of	IN
20165	2167	12	that	that	DT
20165	2167	13	plane	plane	NN
20165	2167	14	in	in	IN
20165	2167	15	the	the	DT
20165	2167	16	mirror	mirror	NN
20165	2167	17	will	will	MD
20165	2167	18	be	be	VB
20165	2167	19	at	at	IN
20165	2167	20	the	the	DT
20165	2167	21	same	same	JJ
20165	2167	22	angle	angle	NN
20165	2167	23	on	on	IN
20165	2167	24	the	the	DT
20165	2167	25	other	other	JJ
20165	2167	26	side	side	NN
20165	2167	27	of	of	IN
20165	2167	28	it	-PRON-	PRP
20165	2167	29	,	,	,
20165	2167	30	so	so	IN
20165	2167	31	that	that	IN
20165	2167	32	if	if	IN
20165	2167	33	the	the	DT
20165	2167	34	mirror	mirror	NN
20165	2167	35	_	_	NNP
20165	2167	36	OA	OA	NNP
20165	2167	37	_	_	NNP
20165	2167	38	(	(	-LRB-
20165	2167	39	Fig	Fig	NNP
20165	2167	40	.	.	.
20165	2168	1	298	298	LS
20165	2168	2	)	)	-RRB-
20165	2168	3	is	be	VBZ
20165	2168	4	at	at	IN
20165	2168	5	45	45	CD
20165	2168	6	°	°	NNS
20165	2168	7	to	to	IN
20165	2168	8	the	the	DT
20165	2168	9	plane	plane	NN
20165	2168	10	_	_	NNP
20165	2168	11	RR	RR	NNP
20165	2168	12	_	_	NNP
20165	2168	13	then	then	RB
20165	2168	14	the	the	DT
20165	2168	15	reflection	reflection	NN
20165	2168	16	of	of	IN
20165	2168	17	that	that	DT
20165	2168	18	plane	plane	NN
20165	2168	19	in	in	IN
20165	2168	20	the	the	DT
20165	2168	21	mirror	mirror	NN
20165	2168	22	will	will	MD
20165	2168	23	be	be	VB
20165	2168	24	45	45	CD
20165	2168	25	°	°	NNS
20165	2168	26	on	on	IN
20165	2168	27	the	the	DT
20165	2168	28	other	other	JJ
20165	2168	29	side	side	NN
20165	2168	30	of	of	IN
20165	2168	31	it	-PRON-	PRP
20165	2168	32	,	,	,
20165	2168	33	or	or	CC
20165	2168	34	at	at	IN
20165	2168	35	right	right	JJ
20165	2168	36	angles	angle	NNS
20165	2168	37	,	,	,
20165	2168	38	and	and	CC
20165	2168	39	the	the	DT
20165	2168	40	reflected	reflect	VBN
20165	2168	41	plane	plane	NN
20165	2168	42	will	will	MD
20165	2168	43	appear	appear	VB
20165	2168	44	perpendicular	perpendicular	JJ
20165	2168	45	,	,	,
20165	2168	46	as	as	IN
20165	2168	47	shown	show	VBN
20165	2168	48	in	in	IN
20165	2168	49	Fig	Fig	NNP
20165	2168	50	.	.	.
20165	2169	1	299	299	CD
20165	2169	2	,	,	,
20165	2169	3	where	where	WRB
20165	2169	4	we	-PRON-	PRP
20165	2169	5	have	have	VBP
20165	2169	6	a	a	DT
20165	2169	7	front	front	JJ
20165	2169	8	view	view	NN
20165	2169	9	of	of	IN
20165	2169	10	a	a	DT
20165	2169	11	mirror	mirror	NN
20165	2169	12	leaning	lean	VBG
20165	2169	13	forward	forward	RB
20165	2169	14	at	at	IN
20165	2169	15	an	an	DT
20165	2169	16	angle	angle	NN
20165	2169	17	of	of	IN
20165	2169	18	45	45	CD
20165	2169	19	°	°	NNS
20165	2169	20	and	and	CC
20165	2169	21	reflecting	reflect	VBG
20165	2169	22	the	the	DT
20165	2169	23	square	square	NN
20165	2169	24	_	_	NNP
20165	2169	25	aob	aob	NNP
20165	2169	26	_	_	NNP
20165	2169	27	with	with	IN
20165	2169	28	a	a	DT
20165	2169	29	cube	cube	NN
20165	2169	30	standing	stand	VBG
20165	2169	31	upon	upon	IN
20165	2169	32	it	-PRON-	PRP
20165	2169	33	,	,	,
20165	2169	34	only	only	RB
20165	2169	35	in	in	IN
20165	2169	36	the	the	DT
20165	2169	37	reflection	reflection	NN
20165	2169	38	the	the	DT
20165	2169	39	cube	cube	NN
20165	2169	40	appears	appear	VBZ
20165	2169	41	to	to	TO
20165	2169	42	be	be	VB
20165	2169	43	projecting	project	VBG
20165	2169	44	from	from	IN
20165	2169	45	an	an	DT
20165	2169	46	upright	upright	JJ
20165	2169	47	plane	plane	NN
20165	2169	48	or	or	CC
20165	2169	49	wall	wall	NN
20165	2169	50	.	.	.
20165	2170	1	[	[	-LRB-
20165	2170	2	Illustration	illustration	NN
20165	2170	3	:	:	:
20165	2170	4	Fig	Fig	NNP
20165	2170	5	.	.	.
20165	2171	1	299	299	CD
20165	2171	2	.	.	.
20165	2171	3	]	]	-RRB-
20165	2172	1	If	if	IN
20165	2172	2	we	-PRON-	PRP
20165	2172	3	increase	increase	VBP
20165	2172	4	the	the	DT
20165	2172	5	angle	angle	NN
20165	2172	6	from	from	IN
20165	2172	7	45	45	CD
20165	2172	8	°	°	NNS
20165	2172	9	to	to	IN
20165	2172	10	60	60	CD
20165	2172	11	°	°	NNS
20165	2172	12	,	,	,
20165	2172	13	then	then	RB
20165	2172	14	the	the	DT
20165	2172	15	reflection	reflection	NN
20165	2172	16	of	of	IN
20165	2172	17	the	the	DT
20165	2172	18	plane	plane	NN
20165	2172	19	and	and	CC
20165	2172	20	cube	cube	NN
20165	2172	21	will	will	MD
20165	2172	22	lean	lean	VB
20165	2172	23	backwards	backwards	RB
20165	2172	24	as	as	IN
20165	2172	25	shown	show	VBN
20165	2172	26	in	in	IN
20165	2172	27	Fig	Fig	NNP
20165	2172	28	.	.	.
20165	2173	1	300	300	CD
20165	2173	2	.	.	.
20165	2174	1	If	if	IN
20165	2174	2	we	-PRON-	PRP
20165	2174	3	place	place	VBP
20165	2174	4	it	-PRON-	PRP
20165	2174	5	on	on	IN
20165	2174	6	a	a	DT
20165	2174	7	level	level	NN
20165	2174	8	with	with	IN
20165	2174	9	the	the	DT
20165	2174	10	original	original	JJ
20165	2174	11	plane	plane	NN
20165	2174	12	,	,	,
20165	2174	13	the	the	DT
20165	2174	14	cube	cube	NN
20165	2174	15	will	will	MD
20165	2174	16	be	be	VB
20165	2174	17	standing	stand	VBG
20165	2174	18	upright	upright	RB
20165	2174	19	twice	twice	PDT
20165	2174	20	the	the	DT
20165	2174	21	distance	distance	NN
20165	2174	22	away	away	RB
20165	2174	23	.	.	.
20165	2175	1	If	if	IN
20165	2175	2	the	the	DT
20165	2175	3	mirror	mirror	NN
20165	2175	4	is	be	VBZ
20165	2175	5	still	still	RB
20165	2175	6	farther	far	RBR
20165	2175	7	tilted	tilt	VBN
20165	2175	8	till	till	IN
20165	2175	9	it	-PRON-	PRP
20165	2175	10	makes	make	VBZ
20165	2175	11	an	an	DT
20165	2175	12	angle	angle	NN
20165	2175	13	of	of	IN
20165	2175	14	135	135	CD
20165	2175	15	°	°	NNS
20165	2175	16	as	as	IN
20165	2175	17	at	at	IN
20165	2175	18	_	_	NNP
20165	2175	19	E	E	NNP
20165	2175	20	_	_	NNP
20165	2175	21	(	(	-LRB-
20165	2175	22	Fig	fig	NN
20165	2175	23	.	.	.
20165	2176	1	298	298	CD
20165	2176	2	)	)	-RRB-
20165	2176	3	,	,	,
20165	2176	4	or	or	CC
20165	2176	5	45	45	CD
20165	2176	6	°	°	NNS
20165	2176	7	on	on	IN
20165	2176	8	the	the	DT
20165	2176	9	other	other	JJ
20165	2176	10	side	side	NN
20165	2176	11	of	of	IN
20165	2176	12	the	the	DT
20165	2176	13	vertical	vertical	JJ
20165	2176	14	_	_	NNP
20165	2176	15	Oc	Oc	NNP
20165	2176	16	_	_	NNP
20165	2176	17	,	,	,
20165	2176	18	then	then	RB
20165	2176	19	the	the	DT
20165	2176	20	plane	plane	NN
20165	2176	21	and	and	CC
20165	2176	22	cube	cube	NN
20165	2176	23	would	would	MD
20165	2176	24	disappear	disappear	VB
20165	2176	25	,	,	,
20165	2176	26	and	and	CC
20165	2176	27	objects	object	VBZ
20165	2176	28	exactly	exactly	RB
20165	2176	29	over	over	IN
20165	2176	30	that	that	DT
20165	2176	31	plane	plane	NN
20165	2176	32	,	,	,
20165	2176	33	such	such	JJ
20165	2176	34	as	as	IN
20165	2176	35	the	the	DT
20165	2176	36	ceiling	ceiling	NN
20165	2176	37	,	,	,
20165	2176	38	would	would	MD
20165	2176	39	come	come	VB
20165	2176	40	into	into	IN
20165	2176	41	view	view	NN
20165	2176	42	.	.	.
20165	2177	1	In	in	IN
20165	2177	2	Fig	Fig	NNP
20165	2177	3	.	.	.
20165	2178	1	300	300	CD
20165	2178	2	the	the	DT
20165	2178	3	mirror	mirror	NN
20165	2178	4	is	be	VBZ
20165	2178	5	at	at	IN
20165	2178	6	60	60	CD
20165	2178	7	°	°	NNS
20165	2178	8	to	to	IN
20165	2178	9	the	the	DT
20165	2178	10	plane	plane	NN
20165	2178	11	_	_	NNP
20165	2178	12	mn	mn	NNP
20165	2178	13	_	_	NNP
20165	2178	14	,	,	,
20165	2178	15	and	and	CC
20165	2178	16	the	the	DT
20165	2178	17	plane	plane	NN
20165	2178	18	itself	-PRON-	PRP
20165	2178	19	at	at	IN
20165	2178	20	about	about	RB
20165	2178	21	15	15	CD
20165	2178	22	°	°	NNS
20165	2178	23	to	to	IN
20165	2178	24	the	the	DT
20165	2178	25	plane	plane	NN
20165	2178	26	_	_	NNP
20165	2178	27	an	an	DT
20165	2178	28	_	_	NNP
20165	2178	29	(	(	-LRB-
20165	2178	30	so	so	RB
20165	2178	31	that	that	IN
20165	2178	32	here	here	RB
20165	2178	33	we	-PRON-	PRP
20165	2178	34	are	be	VBP
20165	2178	35	using	use	VBG
20165	2178	36	angular	angular	JJ
20165	2178	37	perspective	perspective	NN
20165	2178	38	,	,	,
20165	2178	39	_	_	NNP
20165	2178	40	V	V	NNP
20165	2178	41	_	_	NNP
20165	2178	42	being	be	VBG
20165	2178	43	the	the	DT
20165	2178	44	accessible	accessible	JJ
20165	2178	45	vanishing	vanishing	NN
20165	2178	46	point	point	NN
20165	2178	47	)	)	-RRB-
20165	2178	48	.	.	.
20165	2179	1	The	the	DT
20165	2179	2	reflection	reflection	NN
20165	2179	3	of	of	IN
20165	2179	4	the	the	DT
20165	2179	5	plane	plane	NN
20165	2179	6	and	and	CC
20165	2179	7	cube	cube	NN
20165	2179	8	is	be	VBZ
20165	2179	9	seen	see	VBN
20165	2179	10	leaning	lean	VBG
20165	2179	11	back	back	RP
20165	2179	12	at	at	IN
20165	2179	13	an	an	DT
20165	2179	14	angle	angle	NN
20165	2179	15	of	of	IN
20165	2179	16	60	60	CD
20165	2179	17	°	°	NNS
20165	2179	18	.	.	.
20165	2180	1	Note	note	VB
20165	2180	2	the	the	DT
20165	2180	3	way	way	NN
20165	2180	4	the	the	DT
20165	2180	5	reflection	reflection	NN
20165	2180	6	of	of	IN
20165	2180	7	this	this	DT
20165	2180	8	cube	cube	NN
20165	2180	9	is	be	VBZ
20165	2180	10	found	find	VBN
20165	2180	11	by	by	IN
20165	2180	12	the	the	DT
20165	2180	13	dotted	dotted	JJ
20165	2180	14	lines	line	NNS
20165	2180	15	on	on	IN
20165	2180	16	the	the	DT
20165	2180	17	plane	plane	NN
20165	2180	18	,	,	,
20165	2180	19	on	on	IN
20165	2180	20	the	the	DT
20165	2180	21	surface	surface	NN
20165	2180	22	of	of	IN
20165	2180	23	the	the	DT
20165	2180	24	mirror	mirror	NN
20165	2180	25	,	,	,
20165	2180	26	and	and	CC
20165	2180	27	also	also	RB
20165	2180	28	on	on	IN
20165	2180	29	the	the	DT
20165	2180	30	reflection	reflection	NN
20165	2180	31	.	.	.
20165	2181	1	[	[	-LRB-
20165	2181	2	Illustration	illustration	NN
20165	2181	3	:	:	:
20165	2181	4	Fig	Fig	NNP
20165	2181	5	.	.	.
20165	2182	1	300	300	CD
20165	2182	2	.	.	.
20165	2182	3	]	]	-RRB-
20165	2183	1	CLXIX	clxix	VB
20165	2183	2	THE	the	DT
20165	2183	3	UPRIGHT	upright	JJ
20165	2183	4	MIRROR	MIRROR	NNP
20165	2183	5	AT	at	IN
20165	2183	6	AN	an	DT
20165	2183	7	ANGLE	ANGLE	NNS
20165	2183	8	OF	of	IN
20165	2183	9	45	45	CD
20165	2183	10	°	°	NNS
20165	2183	11	TO	to	IN
20165	2183	12	THE	the	DT
20165	2183	13	WALL	WALL	NNP
20165	2183	14	In	in	IN
20165	2183	15	Fig	Fig	NNP
20165	2183	16	.	.	.
20165	2184	1	301	301	CD
20165	2184	2	the	the	DT
20165	2184	3	mirror	mirror	NN
20165	2184	4	is	be	VBZ
20165	2184	5	vertical	vertical	JJ
20165	2184	6	and	and	CC
20165	2184	7	at	at	IN
20165	2184	8	an	an	DT
20165	2184	9	angle	angle	NN
20165	2184	10	of	of	IN
20165	2184	11	45	45	CD
20165	2184	12	°	°	NNS
20165	2184	13	to	to	IN
20165	2184	14	the	the	DT
20165	2184	15	wall	wall	NN
20165	2184	16	opposite	opposite	IN
20165	2184	17	the	the	DT
20165	2184	18	spectator	spectator	NN
20165	2184	19	,	,	,
20165	2184	20	so	so	IN
20165	2184	21	that	that	IN
20165	2184	22	it	-PRON-	PRP
20165	2184	23	reflects	reflect	VBZ
20165	2184	24	a	a	DT
20165	2184	25	portion	portion	NN
20165	2184	26	of	of	IN
20165	2184	27	that	that	DT
20165	2184	28	wall	wall	NN
20165	2184	29	as	as	IN
20165	2184	30	though	though	IN
20165	2184	31	it	-PRON-	PRP
20165	2184	32	were	be	VBD
20165	2184	33	receding	recede	VBG
20165	2184	34	from	from	IN
20165	2184	35	us	-PRON-	PRP
20165	2184	36	at	at	IN
20165	2184	37	right	right	JJ
20165	2184	38	angles	angle	NNS
20165	2184	39	;	;	:
20165	2184	40	and	and	CC
20165	2184	41	the	the	DT
20165	2184	42	wall	wall	NN
20165	2184	43	with	with	IN
20165	2184	44	the	the	DT
20165	2184	45	pictures	picture	NNS
20165	2184	46	upon	upon	IN
20165	2184	47	it	-PRON-	PRP
20165	2184	48	,	,	,
20165	2184	49	which	which	WDT
20165	2184	50	appears	appear	VBZ
20165	2184	51	to	to	TO
20165	2184	52	be	be	VB
20165	2184	53	facing	face	VBG
20165	2184	54	us	-PRON-	PRP
20165	2184	55	,	,	,
20165	2184	56	in	in	IN
20165	2184	57	reality	reality	NN
20165	2184	58	is	be	VBZ
20165	2184	59	on	on	IN
20165	2184	60	our	-PRON-	PRP$
20165	2184	61	left	left	NN
20165	2184	62	.	.	.
20165	2185	1	[	[	-LRB-
20165	2185	2	Illustration	illustration	NN
20165	2185	3	:	:	:
20165	2185	4	Fig	Fig	NNP
20165	2185	5	.	.	.
20165	2186	1	301	301	CD
20165	2186	2	.	.	.
20165	2186	3	]	]	-RRB-
20165	2187	1	An	an	DT
20165	2187	2	endless	endless	JJ
20165	2187	3	number	number	NN
20165	2187	4	of	of	IN
20165	2187	5	complicated	complicated	JJ
20165	2187	6	problems	problem	NNS
20165	2187	7	could	could	MD
20165	2187	8	be	be	VB
20165	2187	9	invented	invent	VBN
20165	2187	10	of	of	IN
20165	2187	11	the	the	DT
20165	2187	12	inclined	inclined	JJ
20165	2187	13	mirror	mirror	NN
20165	2187	14	,	,	,
20165	2187	15	but	but	CC
20165	2187	16	they	-PRON-	PRP
20165	2187	17	would	would	MD
20165	2187	18	be	be	VB
20165	2187	19	mere	mere	JJ
20165	2187	20	puzzles	puzzle	NNS
20165	2187	21	calculated	calculate	VBN
20165	2187	22	rather	rather	RB
20165	2187	23	to	to	TO
20165	2187	24	deter	deter	VB
20165	2187	25	the	the	DT
20165	2187	26	student	student	NN
20165	2187	27	than	than	IN
20165	2187	28	to	to	TO
20165	2187	29	instruct	instruct	VB
20165	2187	30	him	-PRON-	PRP
20165	2187	31	.	.	.
20165	2188	1	What	what	WP
20165	2188	2	we	-PRON-	PRP
20165	2188	3	chiefly	chiefly	RB
20165	2188	4	have	have	VBP
20165	2188	5	to	to	TO
20165	2188	6	bear	bear	VB
20165	2188	7	in	in	IN
20165	2188	8	mind	mind	NN
20165	2188	9	is	be	VBZ
20165	2188	10	the	the	DT
20165	2188	11	simple	simple	JJ
20165	2188	12	principle	principle	NN
20165	2188	13	of	of	IN
20165	2188	14	reflections	reflection	NNS
20165	2188	15	.	.	.
20165	2189	1	When	when	WRB
20165	2189	2	a	a	DT
20165	2189	3	mirror	mirror	NN
20165	2189	4	is	be	VBZ
20165	2189	5	vertical	vertical	JJ
20165	2189	6	and	and	CC
20165	2189	7	placed	place	VBN
20165	2189	8	at	at	IN
20165	2189	9	the	the	DT
20165	2189	10	end	end	NN
20165	2189	11	or	or	CC
20165	2189	12	side	side	NN
20165	2189	13	of	of	IN
20165	2189	14	a	a	DT
20165	2189	15	room	room	NN
20165	2189	16	it	-PRON-	PRP
20165	2189	17	reflects	reflect	VBZ
20165	2189	18	that	that	DT
20165	2189	19	room	room	NN
20165	2189	20	and	and	CC
20165	2189	21	gives	give	VBZ
20165	2189	22	the	the	DT
20165	2189	23	impression	impression	NN
20165	2189	24	that	that	IN
20165	2189	25	we	-PRON-	PRP
20165	2189	26	are	be	VBP
20165	2189	27	in	in	IN
20165	2189	28	one	one	CD
20165	2189	29	double	double	JJ
20165	2189	30	the	the	DT
20165	2189	31	size	size	NN
20165	2189	32	.	.	.
20165	2190	1	If	if	IN
20165	2190	2	two	two	CD
20165	2190	3	mirrors	mirror	NNS
20165	2190	4	are	be	VBP
20165	2190	5	placed	place	VBN
20165	2190	6	opposite	opposite	RB
20165	2190	7	to	to	IN
20165	2190	8	each	each	DT
20165	2190	9	other	other	JJ
20165	2190	10	at	at	IN
20165	2190	11	each	each	DT
20165	2190	12	end	end	NN
20165	2190	13	of	of	IN
20165	2190	14	a	a	DT
20165	2190	15	room	room	NN
20165	2190	16	they	-PRON-	PRP
20165	2190	17	reflect	reflect	VBP
20165	2190	18	and	and	CC
20165	2190	19	reflect	reflect	VBP
20165	2190	20	,	,	,
20165	2190	21	so	so	IN
20165	2190	22	that	that	IN
20165	2190	23	we	-PRON-	PRP
20165	2190	24	see	see	VBP
20165	2190	25	an	an	DT
20165	2190	26	endless	endless	JJ
20165	2190	27	number	number	NN
20165	2190	28	of	of	IN
20165	2190	29	rooms	room	NNS
20165	2190	30	.	.	.
20165	2191	1	Again	again	RB
20165	2191	2	,	,	,
20165	2191	3	if	if	IN
20165	2191	4	we	-PRON-	PRP
20165	2191	5	are	be	VBP
20165	2191	6	sitting	sit	VBG
20165	2191	7	in	in	IN
20165	2191	8	a	a	DT
20165	2191	9	gallery	gallery	NN
20165	2191	10	of	of	IN
20165	2191	11	pictures	picture	NNS
20165	2191	12	with	with	IN
20165	2191	13	a	a	DT
20165	2191	14	hand	hand	NN
20165	2191	15	mirror	mirror	NN
20165	2191	16	,	,	,
20165	2191	17	we	-PRON-	PRP
20165	2191	18	can	can	MD
20165	2191	19	so	so	RB
20165	2191	20	turn	turn	VB
20165	2191	21	and	and	CC
20165	2191	22	twist	twist	VB
20165	2191	23	that	that	WDT
20165	2191	24	mirror	mirror	VBP
20165	2191	25	about	about	IN
20165	2191	26	that	that	IN
20165	2191	27	we	-PRON-	PRP
20165	2191	28	can	can	MD
20165	2191	29	bring	bring	VB
20165	2191	30	any	any	DT
20165	2191	31	picture	picture	NN
20165	2191	32	in	in	IN
20165	2191	33	front	front	NN
20165	2191	34	of	of	IN
20165	2191	35	us	-PRON-	PRP
20165	2191	36	,	,	,
20165	2191	37	whether	whether	IN
20165	2191	38	it	-PRON-	PRP
20165	2191	39	is	be	VBZ
20165	2191	40	behind	behind	IN
20165	2191	41	us	-PRON-	PRP
20165	2191	42	,	,	,
20165	2191	43	at	at	IN
20165	2191	44	the	the	DT
20165	2191	45	side	side	NN
20165	2191	46	,	,	,
20165	2191	47	or	or	CC
20165	2191	48	even	even	RB
20165	2191	49	on	on	IN
20165	2191	50	the	the	DT
20165	2191	51	ceiling	ceiling	NN
20165	2191	52	.	.	.
20165	2192	1	Indeed	indeed	RB
20165	2192	2	,	,	,
20165	2192	3	when	when	WRB
20165	2192	4	one	one	PRP
20165	2192	5	goes	go	VBZ
20165	2192	6	to	to	IN
20165	2192	7	those	those	DT
20165	2192	8	old	old	JJ
20165	2192	9	palaces	palace	NNS
20165	2192	10	and	and	CC
20165	2192	11	churches	church	NNS
20165	2192	12	where	where	WRB
20165	2192	13	pictures	picture	NNS
20165	2192	14	are	be	VBP
20165	2192	15	painted	paint	VBN
20165	2192	16	on	on	IN
20165	2192	17	the	the	DT
20165	2192	18	ceiling	ceiling	NN
20165	2192	19	,	,	,
20165	2192	20	as	as	IN
20165	2192	21	in	in	IN
20165	2192	22	the	the	DT
20165	2192	23	Sistine	Sistine	NNP
20165	2192	24	Chapel	Chapel	NNP
20165	2192	25	or	or	CC
20165	2192	26	the	the	DT
20165	2192	27	Louvre	Louvre	NNP
20165	2192	28	,	,	,
20165	2192	29	or	or	CC
20165	2192	30	the	the	DT
20165	2192	31	palaces	palace	NNS
20165	2192	32	at	at	IN
20165	2192	33	Venice	Venice	NNP
20165	2192	34	,	,	,
20165	2192	35	it	-PRON-	PRP
20165	2192	36	is	be	VBZ
20165	2192	37	not	not	RB
20165	2192	38	a	a	DT
20165	2192	39	bad	bad	JJ
20165	2192	40	plan	plan	NN
20165	2192	41	to	to	TO
20165	2192	42	take	take	VB
20165	2192	43	a	a	DT
20165	2192	44	hand	hand	NN
20165	2192	45	mirror	mirror	NN
20165	2192	46	with	with	IN
20165	2192	47	us	-PRON-	PRP
20165	2192	48	,	,	,
20165	2192	49	so	so	IN
20165	2192	50	that	that	IN
20165	2192	51	we	-PRON-	PRP
20165	2192	52	can	can	MD
20165	2192	53	see	see	VB
20165	2192	54	those	those	DT
20165	2192	55	elevated	elevate	VBN
20165	2192	56	works	work	NNS
20165	2192	57	of	of	IN
20165	2192	58	art	art	NN
20165	2192	59	in	in	IN
20165	2192	60	comfort	comfort	NN
20165	2192	61	.	.	.
20165	2193	1	There	there	EX
20165	2193	2	are	be	VBP
20165	2193	3	also	also	RB
20165	2193	4	many	many	JJ
20165	2193	5	uses	use	NNS
20165	2193	6	for	for	IN
20165	2193	7	the	the	DT
20165	2193	8	mirror	mirror	NN
20165	2193	9	in	in	IN
20165	2193	10	the	the	DT
20165	2193	11	studio	studio	NN
20165	2193	12	,	,	,
20165	2193	13	well	well	RB
20165	2193	14	known	known	JJ
20165	2193	15	to	to	IN
20165	2193	16	the	the	DT
20165	2193	17	artist	artist	NN
20165	2193	18	.	.	.
20165	2194	1	One	one	CD
20165	2194	2	is	be	VBZ
20165	2194	3	to	to	TO
20165	2194	4	look	look	VB
20165	2194	5	at	at	IN
20165	2194	6	one	one	PRP
20165	2194	7	's	's	POS
20165	2194	8	own	own	JJ
20165	2194	9	picture	picture	NN
20165	2194	10	reversed	reverse	VBN
20165	2194	11	,	,	,
20165	2194	12	when	when	WRB
20165	2194	13	faults	fault	NNS
20165	2194	14	become	become	VBP
20165	2194	15	more	more	RBR
20165	2194	16	evident	evident	JJ
20165	2194	17	;	;	:
20165	2194	18	and	and	CC
20165	2194	19	another	another	DT
20165	2194	20	,	,	,
20165	2194	21	when	when	WRB
20165	2194	22	the	the	DT
20165	2194	23	model	model	NN
20165	2194	24	is	be	VBZ
20165	2194	25	required	require	VBN
20165	2194	26	to	to	TO
20165	2194	27	be	be	VB
20165	2194	28	at	at	IN
20165	2194	29	a	a	DT
20165	2194	30	longer	long	JJR
20165	2194	31	distance	distance	NN
20165	2194	32	than	than	IN
20165	2194	33	the	the	DT
20165	2194	34	dimensions	dimension	NNS
20165	2194	35	of	of	IN
20165	2194	36	the	the	DT
20165	2194	37	studio	studio	NN
20165	2194	38	will	will	MD
20165	2194	39	admit	admit	VB
20165	2194	40	,	,	,
20165	2194	41	by	by	IN
20165	2194	42	drawing	draw	VBG
20165	2194	43	his	-PRON-	PRP$
20165	2194	44	reflection	reflection	NN
20165	2194	45	in	in	IN
20165	2194	46	the	the	DT
20165	2194	47	glass	glass	NN
20165	2194	48	we	-PRON-	PRP
20165	2194	49	double	double	VBP
20165	2194	50	the	the	DT
20165	2194	51	distance	distance	NN
20165	2194	52	he	-PRON-	PRP
20165	2194	53	is	be	VBZ
20165	2194	54	from	from	IN
20165	2194	55	us	-PRON-	PRP
20165	2194	56	.	.	.
20165	2195	1	The	the	DT
20165	2195	2	reason	reason	NN
20165	2195	3	the	the	DT
20165	2195	4	mirror	mirror	NN
20165	2195	5	shows	show	VBZ
20165	2195	6	the	the	DT
20165	2195	7	fault	fault	NN
20165	2195	8	of	of	IN
20165	2195	9	a	a	DT
20165	2195	10	work	work	NN
20165	2195	11	to	to	TO
20165	2195	12	which	which	WDT
20165	2195	13	the	the	DT
20165	2195	14	eye	eye	NN
20165	2195	15	has	have	VBZ
20165	2195	16	become	become	VBN
20165	2195	17	accustomed	accustomed	JJ
20165	2195	18	is	be	VBZ
20165	2195	19	that	that	IN
20165	2195	20	it	-PRON-	PRP
20165	2195	21	doubles	double	VBZ
20165	2195	22	it	-PRON-	PRP
20165	2195	23	.	.	.
20165	2196	1	Thus	thus	RB
20165	2196	2	if	if	IN
20165	2196	3	a	a	DT
20165	2196	4	line	line	NN
20165	2196	5	that	that	WDT
20165	2196	6	should	should	MD
20165	2196	7	be	be	VB
20165	2196	8	vertical	vertical	JJ
20165	2196	9	is	be	VBZ
20165	2196	10	leaning	lean	VBG
20165	2196	11	to	to	IN
20165	2196	12	one	one	CD
20165	2196	13	side	side	NN
20165	2196	14	,	,	,
20165	2196	15	in	in	IN
20165	2196	16	the	the	DT
20165	2196	17	mirror	mirror	NN
20165	2196	18	it	-PRON-	PRP
20165	2196	19	will	will	MD
20165	2196	20	lean	lean	VB
20165	2196	21	to	to	IN
20165	2196	22	the	the	DT
20165	2196	23	other	other	JJ
20165	2196	24	;	;	:
20165	2196	25	so	so	IN
20165	2196	26	that	that	IN
20165	2196	27	if	if	IN
20165	2196	28	it	-PRON-	PRP
20165	2196	29	is	be	VBZ
20165	2196	30	out	out	IN
20165	2196	31	of	of	IN
20165	2196	32	the	the	DT
20165	2196	33	perpendicular	perpendicular	NN
20165	2196	34	to	to	IN
20165	2196	35	the	the	DT
20165	2196	36	left	left	NN
20165	2196	37	,	,	,
20165	2196	38	its	-PRON-	PRP$
20165	2196	39	reflection	reflection	NN
20165	2196	40	will	will	MD
20165	2196	41	be	be	VB
20165	2196	42	out	out	IN
20165	2196	43	of	of	IN
20165	2196	44	the	the	DT
20165	2196	45	perpendicular	perpendicular	NN
20165	2196	46	to	to	IN
20165	2196	47	the	the	DT
20165	2196	48	right	right	NN
20165	2196	49	,	,	,
20165	2196	50	making	make	VBG
20165	2196	51	a	a	DT
20165	2196	52	double	double	JJ
20165	2196	53	divergence	divergence	NN
20165	2196	54	from	from	IN
20165	2196	55	one	one	CD
20165	2196	56	to	to	IN
20165	2196	57	the	the	DT
20165	2196	58	other	other	JJ
20165	2196	59	.	.	.
20165	2197	1	CLXX	clxx	NN
20165	2197	2	MENTAL	mental	NN
20165	2197	3	PERSPECTIVE	perspective	NN
20165	2197	4	Before	before	IN
20165	2197	5	we	-PRON-	PRP
20165	2197	6	part	part	NN
20165	2197	7	,	,	,
20165	2197	8	I	-PRON-	PRP
20165	2197	9	should	should	MD
20165	2197	10	like	like	VB
20165	2197	11	to	to	TO
20165	2197	12	say	say	VB
20165	2197	13	a	a	DT
20165	2197	14	word	word	NN
20165	2197	15	about	about	IN
20165	2197	16	mental	mental	JJ
20165	2197	17	perspective	perspective	NN
20165	2197	18	,	,	,
20165	2197	19	for	for	IN
20165	2197	20	we	-PRON-	PRP
20165	2197	21	must	must	MD
20165	2197	22	remember	remember	VB
20165	2197	23	that	that	IN
20165	2197	24	some	some	DT
20165	2197	25	see	see	VBP
20165	2197	26	farther	far	RBR
20165	2197	27	than	than	IN
20165	2197	28	others	other	NNS
20165	2197	29	,	,	,
20165	2197	30	and	and	CC
20165	2197	31	some	some	DT
20165	2197	32	will	will	MD
20165	2197	33	endeavour	endeavour	VB
20165	2197	34	to	to	TO
20165	2197	35	see	see	VB
20165	2197	36	even	even	RB
20165	2197	37	into	into	IN
20165	2197	38	the	the	DT
20165	2197	39	infinite	infinite	NN
20165	2197	40	.	.	.
20165	2198	1	To	to	TO
20165	2198	2	see	see	VB
20165	2198	3	Nature	nature	NN
20165	2198	4	in	in	IN
20165	2198	5	all	all	DT
20165	2198	6	her	-PRON-	PRP$
20165	2198	7	vastness	vastness	NN
20165	2198	8	and	and	CC
20165	2198	9	magnificence	magnificence	NN
20165	2198	10	,	,	,
20165	2198	11	the	the	DT
20165	2198	12	thought	thought	NN
20165	2198	13	must	must	MD
20165	2198	14	supplement	supplement	VB
20165	2198	15	and	and	CC
20165	2198	16	must	must	MD
20165	2198	17	surpass	surpass	VB
20165	2198	18	the	the	DT
20165	2198	19	eye	eye	NN
20165	2198	20	.	.	.
20165	2199	1	It	-PRON-	PRP
20165	2199	2	is	be	VBZ
20165	2199	3	this	this	DT
20165	2199	4	far	far	RB
20165	2199	5	-	-	HYPH
20165	2199	6	seeing	seeing	NN
20165	2199	7	that	that	WDT
20165	2199	8	makes	make	VBZ
20165	2199	9	the	the	DT
20165	2199	10	great	great	JJ
20165	2199	11	poet	poet	NN
20165	2199	12	,	,	,
20165	2199	13	the	the	DT
20165	2199	14	great	great	JJ
20165	2199	15	philosopher	philosopher	NN
20165	2199	16	,	,	,
20165	2199	17	and	and	CC
20165	2199	18	the	the	DT
20165	2199	19	great	great	JJ
20165	2199	20	artist	artist	NN
20165	2199	21	.	.	.
20165	2200	1	Let	let	VB
20165	2200	2	the	the	DT
20165	2200	3	student	student	NN
20165	2200	4	bear	bear	VB
20165	2200	5	this	this	DT
20165	2200	6	in	in	IN
20165	2200	7	mind	mind	NN
20165	2200	8	,	,	,
20165	2200	9	for	for	CC
20165	2200	10	if	if	IN
20165	2200	11	he	-PRON-	PRP
20165	2200	12	possesses	possess	VBZ
20165	2200	13	this	this	DT
20165	2200	14	quality	quality	NN
20165	2200	15	or	or	CC
20165	2200	16	even	even	RB
20165	2200	17	a	a	DT
20165	2200	18	share	share	NN
20165	2200	19	of	of	IN
20165	2200	20	it	-PRON-	PRP
20165	2200	21	,	,	,
20165	2200	22	it	-PRON-	PRP
20165	2200	23	will	will	MD
20165	2200	24	give	give	VB
20165	2200	25	immortality	immortality	NN
20165	2200	26	to	to	IN
20165	2200	27	his	-PRON-	PRP$
20165	2200	28	work	work	NN
20165	2200	29	.	.	.
20165	2201	1	To	to	TO
20165	2201	2	explain	explain	VB
20165	2201	3	in	in	IN
20165	2201	4	detail	detail	NN
20165	2201	5	the	the	DT
20165	2201	6	full	full	JJ
20165	2201	7	meaning	meaning	NN
20165	2201	8	of	of	IN
20165	2201	9	this	this	DT
20165	2201	10	suggestion	suggestion	NN
20165	2201	11	is	be	VBZ
20165	2201	12	beyond	beyond	IN
20165	2201	13	the	the	DT
20165	2201	14	province	province	NN
20165	2201	15	of	of	IN
20165	2201	16	this	this	DT
20165	2201	17	book	book	NN
20165	2201	18	,	,	,
20165	2201	19	but	but	CC
20165	2201	20	it	-PRON-	PRP
20165	2201	21	may	may	MD
20165	2201	22	lead	lead	VB
20165	2201	23	the	the	DT
20165	2201	24	student	student	NN
20165	2201	25	to	to	TO
20165	2201	26	think	think	VB
20165	2201	27	this	this	DT
20165	2201	28	question	question	NN
20165	2201	29	out	out	RP
20165	2201	30	for	for	IN
20165	2201	31	himself	-PRON-	PRP
20165	2201	32	in	in	IN
20165	2201	33	his	-PRON-	PRP$
20165	2201	34	solitary	solitary	JJ
20165	2201	35	and	and	CC
20165	2201	36	imaginative	imaginative	JJ
20165	2201	37	moments	moment	NNS
20165	2201	38	,	,	,
20165	2201	39	and	and	CC
20165	2201	40	should	should	MD
20165	2201	41	,	,	,
20165	2201	42	I	-PRON-	PRP
20165	2201	43	think	think	VBP
20165	2201	44	,	,	,
20165	2201	45	give	give	VBP
20165	2201	46	a	a	DT
20165	2201	47	charm	charm	NN
20165	2201	48	and	and	CC
20165	2201	49	virtue	virtue	VB
20165	2201	50	to	to	IN
20165	2201	51	his	-PRON-	PRP$
20165	2201	52	work	work	NN
20165	2201	53	which	which	WDT
20165	2201	54	he	-PRON-	PRP
20165	2201	55	should	should	MD
20165	2201	56	endeavour	endeavour	VB
20165	2201	57	to	to	TO
20165	2201	58	make	make	VB
20165	2201	59	of	of	IN
20165	2201	60	value	value	NN
20165	2201	61	,	,	,
20165	2201	62	not	not	RB
20165	2201	63	only	only	RB
20165	2201	64	to	to	IN
20165	2201	65	his	-PRON-	PRP$
20165	2201	66	own	own	JJ
20165	2201	67	time	time	NN
20165	2201	68	but	but	CC
20165	2201	69	to	to	IN
20165	2201	70	the	the	DT
20165	2201	71	generations	generation	NNS
20165	2201	72	that	that	WDT
20165	2201	73	are	be	VBP
20165	2201	74	to	to	TO
20165	2201	75	follow	follow	VB
20165	2201	76	.	.	.
20165	2202	1	Cultivate	cultivate	VB
20165	2202	2	,	,	,
20165	2202	3	therefore	therefore	RB
20165	2202	4	,	,	,
20165	2202	5	this	this	DT
20165	2202	6	mental	mental	JJ
20165	2202	7	perspective	perspective	NN
20165	2202	8	,	,	,
20165	2202	9	without	without	IN
20165	2202	10	forgetting	forget	VBG
20165	2202	11	the	the	DT
20165	2202	12	solid	solid	JJ
20165	2202	13	foundation	foundation	NN
20165	2202	14	of	of	IN
20165	2202	15	the	the	DT
20165	2202	16	science	science	NN
20165	2202	17	I	-PRON-	PRP
20165	2202	18	have	have	VBP
20165	2202	19	endeavoured	endeavour	VBN
20165	2202	20	to	to	TO
20165	2202	21	impart	impart	VB
20165	2202	22	to	to	IN
20165	2202	23	you	-PRON-	PRP
20165	2202	24	.	.	.
20165	2203	1	INDEX	index	NN
20165	2203	2	[	[	-LRB-
20165	2203	3	Transcriber	Transcriber	NNP
20165	2203	4	's	's	POS
20165	2203	5	Note	note	NN
20165	2203	6	:	:	:
20165	2203	7	Index	index	NN
20165	2203	8	citations	citation	NNS
20165	2203	9	in	in	IN
20165	2203	10	the	the	DT
20165	2203	11	original	original	JJ
20165	2203	12	book	book	NN
20165	2203	13	referred	refer	VBD
20165	2203	14	to	to	IN
20165	2203	15	page	page	NN
20165	2203	16	numbers	number	NNS
20165	2203	17	.	.	.
20165	2204	1	References	reference	NNS
20165	2204	2	to	to	IN
20165	2204	3	chapters	chapter	NNS
20165	2204	4	(	(	-LRB-
20165	2204	5	Roman	roman	JJ
20165	2204	6	numerals	numeral	NNS
20165	2204	7	)	)	-RRB-
20165	2204	8	or	or	CC
20165	2204	9	figures	figure	NNS
20165	2204	10	(	(	-LRB-
20165	2204	11	Arabic	arabic	JJ
20165	2204	12	numerals	numeral	NNS
20165	2204	13	)	)	-RRB-
20165	2204	14	have	have	VBP
20165	2204	15	been	be	VBN
20165	2204	16	added	add	VBN
20165	2204	17	in	in	IN
20165	2204	18	brackets	bracket	NNS
20165	2204	19	where	where	WRB
20165	2204	20	possible	possible	JJ
20165	2204	21	.	.	.
20165	2205	1	Note	note	VB
20165	2205	2	that	that	IN
20165	2205	3	the	the	DT
20165	2205	4	last	last	JJ
20165	2205	5	two	two	CD
20165	2205	6	entries	entry	NNS
20165	2205	7	for	for	IN
20165	2205	8	"	"	``
20165	2205	9	Toledo	Toledo	NNP
20165	2205	10	"	"	''
20165	2205	11	are	be	VBP
20165	2205	12	figure	figure	NN
20165	2205	13	numbers	number	NNS
20165	2205	14	rather	rather	RB
20165	2205	15	than	than	IN
20165	2205	16	pages	page	NNS
20165	2205	17	;	;	:
20165	2205	18	these	these	DT
20165	2205	19	have	have	VBP
20165	2205	20	not	not	RB
20165	2205	21	been	be	VBN
20165	2205	22	corrected	correct	VBN
20165	2205	23	.	.	.
20165	2205	24	]	]	-RRB-
20165	2206	1	A	a	DT
20165	2206	2	Albert	Albert	NNP
20165	2206	3	Dürer	Dürer	NNP
20165	2206	4	,	,	,
20165	2206	5	2	2	CD
20165	2206	6	,	,	,
20165	2206	7	9	9	CD
20165	2206	8	.	.	.
20165	2207	1	Angles	angle	NNS
20165	2207	2	of	of	IN
20165	2207	3	Reflection	reflection	NN
20165	2207	4	,	,	,
20165	2207	5	259	259	CD
20165	2207	6	[	[	-LRB-
20165	2207	7	CLXV	CLXV	NNP
20165	2207	8	]	]	-RRB-
20165	2207	9	.	.	.
20165	2208	1	Angular	Angular	NNP
20165	2208	2	Perspective	Perspective	NNP
20165	2208	3	,	,	,
20165	2208	4	98	98	CD
20165	2208	5	[	[	-LRB-
20165	2208	6	XLIX	xlix	NN
20165	2208	7	]	]	-RRB-
20165	2208	8	-	-	:
20165	2208	9	123	123	CD
20165	2208	10	[	[	-LRB-
20165	2208	11	LXXII	LXXII	NNP
20165	2208	12	]	]	-RRB-
20165	2208	13	,	,	,
20165	2208	14	133	133	CD
20165	2208	15	[	[	-LRB-
20165	2208	16	LXXX	LXXX	NNP
20165	2208	17	]	]	-RRB-
20165	2208	18	,	,	,
20165	2208	19	170	170	CD
20165	2208	20	.	.	.
20165	2208	21	"	"	''
20165	2209	1	"	"	``
20165	2209	2	New	New	NNP
20165	2209	3	Method	Method	NNP
20165	2209	4	,	,	,
20165	2209	5	133	133	CD
20165	2209	6	[	[	-LRB-
20165	2209	7	LXXX	LXXX	NNP
20165	2209	8	]	]	-RRB-
20165	2209	9	,	,	,
20165	2209	10	134	134	CD
20165	2209	11	[	[	-LRB-
20165	2209	12	LXXXI	LXXXI	NNP
20165	2209	13	]	]	-RRB-
20165	2209	14	,	,	,
20165	2209	15	135	135	CD
20165	2209	16	[	[	-LRB-
20165	2209	17	LXXXII	lxxxii	NN
20165	2209	18	]	]	-RRB-
20165	2209	19	,	,	,
20165	2209	20	136	136	CD
20165	2209	21	[	[	-LRB-
20165	2209	22	LXXXIII	LXXXIII	NNP
20165	2209	23	]	]	-RRB-
20165	2209	24	.	.	.
20165	2210	1	Arches	Arches	NNP
20165	2210	2	,	,	,
20165	2210	3	Arcades	Arcades	NNP
20165	2210	4	,	,	,
20165	2210	5	&	&	CC
20165	2210	6	c.	c.	NNP
20165	2210	7	,	,	,
20165	2210	8	198	198	CD
20165	2210	9	[	[	-LRB-
20165	2210	10	CXXVI	CXXVI	NNP
20165	2210	11	]	]	-RRB-
20165	2210	12	,	,	,
20165	2210	13	200	200	CD
20165	2210	14	[	[	-LRB-
20165	2210	15	CXXVII	CXXVII	NNP
20165	2210	16	]	]	-RRB-
20165	2210	17	-	-	:
20165	2210	18	208	208	CD
20165	2210	19	[	[	-LRB-
20165	2210	20	CXXIII	CXXIII	NNP
20165	2210	21	]	]	-RRB-
20165	2210	22	.	.	.
20165	2211	1	Architect	Architect	NNP
20165	2211	2	's	's	POS
20165	2211	3	Perspective	Perspective	NNP
20165	2211	4	,	,	,
20165	2211	5	170	170	CD
20165	2211	6	[	[	-LRB-
20165	2211	7	CVIII	CVIII	NNP
20165	2211	8	]	]	-RRB-
20165	2211	9	,	,	,
20165	2211	10	171	171	CD
20165	2211	11	[	[	-LRB-
20165	2211	12	197	197	CD
20165	2211	13	]	]	-RRB-
20165	2211	14	.	.	.
20165	2212	1	Art	art	NN
20165	2212	2	Schools	school	NNS
20165	2212	3	Perspective	Perspective	NNP
20165	2212	4	,	,	,
20165	2212	5	112	112	CD
20165	2212	6	[	[	-LRB-
20165	2212	7	LXII	LXII	NNP
20165	2212	8	]	]	-RRB-
20165	2212	9	-	-	:
20165	2212	10	118	118	CD
20165	2212	11	[	[	-LRB-
20165	2212	12	LXVI	LXVI	NNP
20165	2212	13	]	]	-RRB-
20165	2212	14	,	,	,
20165	2212	15	217	217	CD
20165	2212	16	[	[	-LRB-
20165	2212	17	CXLI	CXLI	NNP
20165	2212	18	]	]	-RRB-
20165	2212	19	.	.	.
20165	2213	1	Atmosphere	Atmosphere	NNP
20165	2213	2	,	,	,
20165	2213	3	1	1	CD
20165	2213	4	,	,	,
20165	2213	5	74	74	CD
20165	2213	6	[	[	-LRB-
20165	2213	7	XXX	XXX	NNP
20165	2213	8	]	]	-RRB-
20165	2213	9	.	.	.
20165	2214	1	B	B	NNP
20165	2214	2	Balcony	Balcony	NNP
20165	2214	3	,	,	,
20165	2214	4	Shadow	Shadow	NNP
20165	2214	5	of	of	IN
20165	2214	6	,	,	,
20165	2214	7	246	246	CD
20165	2214	8	[	[	-LRB-
20165	2214	9	CLVII	CLVII	NNP
20165	2214	10	]	]	-RRB-
20165	2214	11	.	.	.
20165	2215	1	Base	Base	NNP
20165	2215	2	or	or	CC
20165	2215	3	groundline	groundline	NN
20165	2215	4	,	,	,
20165	2215	5	89	89	CD
20165	2215	6	[	[	-LRB-
20165	2215	7	XLI	XLI	NNP
20165	2215	8	]	]	-RRB-
20165	2215	9	.	.	.
20165	2216	1	C	C	NNP
20165	2216	2	Campanile	Campanile	NNP
20165	2216	3	Florence	Florence	NNP
20165	2216	4	,	,	,
20165	2216	5	5	5	CD
20165	2216	6	,	,	,
20165	2216	7	59	59	CD
20165	2216	8	.	.	.
20165	2217	1	Cast	Cast	NNP
20165	2217	2	Shadows	Shadows	NNP
20165	2217	3	,	,	,
20165	2217	4	229	229	CD
20165	2217	5	[	[	-LRB-
20165	2217	6	CXLVII	CXLVII	NNP
20165	2217	7	]	]	-RRB-
20165	2217	8	-	-	:
20165	2217	9	253	253	CD
20165	2217	10	[	[	-LRB-
20165	2217	11	CLXII	CLXII	NNP
20165	2217	12	]	]	-RRB-
20165	2217	13	.	.	.
20165	2218	1	Centre	Centre	NNP
20165	2218	2	of	of	IN
20165	2218	3	Vision	Vision	NNP
20165	2218	4	,	,	,
20165	2218	5	15	15	CD
20165	2218	6	[	[	-LRB-
20165	2218	7	II	II	NNP
20165	2218	8	]	]	-RRB-
20165	2218	9	.	.	.
20165	2219	1	Chessboard	chessboard	NN
20165	2219	2	,	,	,
20165	2219	3	74	74	CD
20165	2219	4	[	[	-LRB-
20165	2219	5	XXXI	XXXI	NNP
20165	2219	6	]	]	-RRB-
20165	2219	7	.	.	.
20165	2220	1	Chinese	chinese	JJ
20165	2220	2	Art	Art	NNP
20165	2220	3	,	,	,
20165	2220	4	11	11	CD
20165	2220	5	.	.	.
20165	2221	1	Circle	Circle	NNP
20165	2221	2	,	,	,
20165	2221	3	145	145	CD
20165	2221	4	[	[	-LRB-
20165	2221	5	LXXXVIII	LXXXVIII	NNP
20165	2221	6	]	]	-RRB-
20165	2221	7	,	,	,
20165	2221	8	151	151	CD
20165	2221	9	[	[	-LRB-
20165	2221	10	XCII	XCII	NNP
20165	2221	11	]	]	-RRB-
20165	2221	12	-	-	:
20165	2221	13	156	156	CD
20165	2221	14	[	[	-LRB-
20165	2221	15	XCVI	XCVI	NNP
20165	2221	16	]	]	-RRB-
20165	2221	17	,	,	,
20165	2221	18	159	159	CD
20165	2221	19	[	[	-LRB-
20165	2221	20	XCIX	XCIX	NNP
20165	2221	21	]	]	-RRB-
20165	2221	22	.	.	.
20165	2222	1	Columns	column	NNS
20165	2222	2	,	,	,
20165	2222	3	157	157	CD
20165	2222	4	[	[	-LRB-
20165	2222	5	XCVII	XCVII	NNP
20165	2222	6	]	]	-RRB-
20165	2222	7	,	,	,
20165	2222	8	159	159	CD
20165	2222	9	[	[	-LRB-
20165	2222	10	XCIX	XCIX	NNP
20165	2222	11	]	]	-RRB-
20165	2222	12	,	,	,
20165	2222	13	161	161	CD
20165	2222	14	[	[	-LRB-
20165	2222	15	CI	CI	NNP
20165	2222	16	]	]	-RRB-
20165	2222	17	,	,	,
20165	2222	18	169	169	CD
20165	2222	19	[	[	-LRB-
20165	2222	20	CVI	CVI	NNP
20165	2222	21	]	]	-RRB-
20165	2222	22	,	,	,
20165	2222	23	170	170	CD
20165	2222	24	[	[	-LRB-
20165	2222	25	CVII	CVII	NNP
20165	2222	26	]	]	-RRB-
20165	2222	27	.	.	.
20165	2223	1	Conditions	condition	NNS
20165	2223	2	of	of	IN
20165	2223	3	Perspective	Perspective	NNP
20165	2223	4	,	,	,
20165	2223	5	24	24	CD
20165	2223	6	[	[	-LRB-
20165	2223	7	VII	VII	NNP
20165	2223	8	]	]	-RRB-
20165	2223	9	,	,	,
20165	2223	10	25	25	CD
20165	2223	11	.	.	.
20165	2224	1	Cottage	cottage	NN
20165	2224	2	in	in	IN
20165	2224	3	Angular	Angular	NNP
20165	2224	4	Perspective	Perspective	NNP
20165	2224	5	,	,	,
20165	2224	6	116	116	CD
20165	2224	7	[	[	-LRB-
20165	2224	8	LXV	LXV	NNP
20165	2224	9	]	]	-RRB-
20165	2224	10	.	.	.
20165	2225	1	Cube	Cube	NNP
20165	2225	2	,	,	,
20165	2225	3	53	53	CD
20165	2225	4	[	[	-LRB-
20165	2225	5	XVII	XVII	NNP
20165	2225	6	]	]	-RRB-
20165	2225	7	,	,	,
20165	2225	8	65	65	CD
20165	2225	9	[	[	-LRB-
20165	2225	10	XXIII	XXIII	NNP
20165	2225	11	]	]	-RRB-
20165	2225	12	,	,	,
20165	2225	13	115	115	CD
20165	2225	14	[	[	-LRB-
20165	2225	15	LXIV	LXIV	NNP
20165	2225	16	]	]	-RRB-
20165	2225	17	,	,	,
20165	2225	18	119	119	CD
20165	2225	19	[	[	-LRB-
20165	2225	20	LXVIII	LXVIII	NNP
20165	2225	21	]	]	-RRB-
20165	2225	22	.	.	.
20165	2226	1	Cylinder	cylinder	NN
20165	2226	2	,	,	,
20165	2226	3	158	158	CD
20165	2226	4	[	[	-LRB-
20165	2226	5	XCVIII	XCVIII	NNP
20165	2226	6	]	]	-RRB-
20165	2226	7	,	,	,
20165	2226	8	159	159	CD
20165	2226	9	[	[	-LRB-
20165	2226	10	CXIX	CXIX	NNP
20165	2226	11	]	]	-RRB-
20165	2226	12	.	.	.
20165	2227	1	Cylindrical	cylindrical	JJ
20165	2227	2	picture	picture	NN
20165	2227	3	,	,	,
20165	2227	4	227	227	CD
20165	2227	5	[	[	-LRB-
20165	2227	6	CXLVI	CXLVI	NNP
20165	2227	7	]	]	-RRB-
20165	2227	8	.	.	.
20165	2228	1	D	D	NNP
20165	2228	2	De	De	NNP
20165	2228	3	Hoogh	Hoogh	NNP
20165	2228	4	,	,	,
20165	2228	5	2	2	CD
20165	2228	6	,	,	,
20165	2228	7	62	62	CD
20165	2228	8	[	[	-LRB-
20165	2228	9	68	68	CD
20165	2228	10	]	]	-RRB-
20165	2228	11	,	,	,
20165	2228	12	73	73	CD
20165	2228	13	[	[	-LRB-
20165	2228	14	82	82	CD
20165	2228	15	]	]	-RRB-
20165	2228	16	.	.	.
20165	2229	1	Depths	depth	NNS
20165	2229	2	,	,	,
20165	2229	3	How	how	WRB
20165	2229	4	to	to	TO
20165	2229	5	measure	measure	VB
20165	2229	6	by	by	IN
20165	2229	7	diagonals	diagonal	NNS
20165	2229	8	,	,	,
20165	2229	9	127	127	CD
20165	2229	10	[	[	-LRB-
20165	2229	11	LXXVI	LXXVI	NNP
20165	2229	12	]	]	-RRB-
20165	2229	13	,	,	,
20165	2229	14	128	128	CD
20165	2229	15	[	[	-LRB-
20165	2229	16	LXXVII	LXXVII	NNP
20165	2229	17	]	]	-RRB-
20165	2229	18	.	.	.
20165	2230	1	Descending	descend	VBG
20165	2230	2	plane	plane	NN
20165	2230	3	,	,	,
20165	2230	4	92	92	CD
20165	2230	5	[	[	-LRB-
20165	2230	6	XLIV	XLIV	NNP
20165	2230	7	]	]	-RRB-
20165	2230	8	-	-	:
20165	2230	9	95	95	CD
20165	2230	10	[	[	-LRB-
20165	2230	11	XLV	XLV	NNP
20165	2230	12	]	]	-RRB-
20165	2230	13	.	.	.
20165	2231	1	Diagonals	diagonal	NNS
20165	2231	2	,	,	,
20165	2231	3	45	45	CD
20165	2231	4	,	,	,
20165	2231	5	124	124	CD
20165	2231	6	[	[	-LRB-
20165	2231	7	LXXIII	LXXIII	NNP
20165	2231	8	]	]	-RRB-
20165	2231	9	,	,	,
20165	2231	10	125	125	CD
20165	2231	11	[	[	-LRB-
20165	2231	12	LXXIV	LXXIV	NNP
20165	2231	13	]	]	-RRB-
20165	2231	14	,	,	,
20165	2231	15	126	126	CD
20165	2231	16	[	[	-LRB-
20165	2231	17	LXXV	LXXV	NNP
20165	2231	18	]	]	-RRB-
20165	2231	19	.	.	.
20165	2232	1	Disproportion	disproportion	NN
20165	2232	2	,	,	,
20165	2232	3	How	how	WRB
20165	2232	4	to	to	TO
20165	2232	5	correct	correct	VB
20165	2232	6	,	,	,
20165	2232	7	35	35	CD
20165	2232	8	,	,	,
20165	2232	9	118	118	CD
20165	2232	10	[	[	-LRB-
20165	2232	11	LXVII	LXVII	NNP
20165	2232	12	]	]	-RRB-
20165	2232	13	,	,	,
20165	2232	14	157	157	CD
20165	2232	15	[	[	-LRB-
20165	2232	16	XCVII	XCVII	NNP
20165	2232	17	]	]	-RRB-
20165	2232	18	.	.	.
20165	2233	1	Distance	Distance	NNP
20165	2233	2	,	,	,
20165	2233	3	16	16	CD
20165	2233	4	[	[	-LRB-
20165	2233	5	III	iii	NN
20165	2233	6	]	]	-RRB-
20165	2233	7	,	,	,
20165	2233	8	77	77	CD
20165	2233	9	[	[	-LRB-
20165	2233	10	XXXIII	XXXIII	NNP
20165	2233	11	]	]	-RRB-
20165	2233	12	,	,	,
20165	2233	13	78	78	CD
20165	2233	14	[	[	-LRB-
20165	2233	15	XXXIV	XXXIV	NNP
20165	2233	16	]	]	-RRB-
20165	2233	17	,	,	,
20165	2233	18	85	85	CD
20165	2233	19	[	[	-LRB-
20165	2233	20	XXXVII	XXXVII	NNP
20165	2233	21	]	]	-RRB-
20165	2233	22	,	,	,
20165	2233	23	87	87	CD
20165	2233	24	[	[	-LRB-
20165	2233	25	XXXIX	xxxix	NN
20165	2233	26	]	]	-RRB-
20165	2233	27	,	,	,
20165	2233	28	103	103	CD
20165	2233	29	[	[	-LRB-
20165	2233	30	LIV	LIV	NNP
20165	2233	31	]	]	-RRB-
20165	2233	32	,	,	,
20165	2233	33	128	128	CD
20165	2233	34	[	[	-LRB-
20165	2233	35	LXXVII	LXXVII	NNP
20165	2233	36	]	]	-RRB-
20165	2233	37	.	.	.
20165	2234	1	Distorted	distorted	JJ
20165	2234	2	perspective	perspective	NN
20165	2234	3	,	,	,
20165	2234	4	How	how	WRB
20165	2234	5	to	to	TO
20165	2234	6	correct	correct	VB
20165	2234	7	,	,	,
20165	2234	8	118	118	CD
20165	2234	9	[	[	-LRB-
20165	2234	10	LXVII	LXVII	NNP
20165	2234	11	]	]	-RRB-
20165	2234	12	.	.	.
20165	2235	1	Dome	Dome	NNP
20165	2235	2	,	,	,
20165	2235	3	163	163	CD
20165	2235	4	[	[	-LRB-
20165	2235	5	CIII	CIII	NNP
20165	2235	6	]	]	-RRB-
20165	2235	7	-	-	:
20165	2235	8	167	167	CD
20165	2235	9	[	[	-LRB-
20165	2235	10	CV	CV	NNP
20165	2235	11	]	]	-RRB-
20165	2235	12	.	.	.
20165	2236	1	Double	double	JJ
20165	2236	2	Cross	Cross	NNP
20165	2236	3	,	,	,
20165	2236	4	218	218	CD
20165	2236	5	[	[	-LRB-
20165	2236	6	CXLII	CXLII	NNP
20165	2236	7	]	]	-RRB-
20165	2236	8	.	.	.
20165	2237	1	E	E	NNP
20165	2237	2	Ellipse	Ellipse	NNP
20165	2237	3	,	,	,
20165	2237	4	145	145	CD
20165	2237	5	[	[	-LRB-
20165	2237	6	LXXXIX	LXXXIX	NNP
20165	2237	7	]	]	-RRB-
20165	2237	8	,	,	,
20165	2237	9	146	146	CD
20165	2237	10	[	[	-LRB-
20165	2237	11	XC	XC	NNP
20165	2237	12	]	]	-RRB-
20165	2237	13	,	,	,
20165	2237	14	147	147	CD
20165	2237	15	[	[	-LRB-
20165	2237	16	168	168	CD
20165	2237	17	]	]	-RRB-
20165	2237	18	.	.	.
20165	2238	1	Elliptical	Elliptical	NNP
20165	2238	2	Arch	Arch	NNP
20165	2238	3	,	,	,
20165	2238	4	207	207	CD
20165	2238	5	[	[	-LRB-
20165	2238	6	CXXXII	CXXXII	NNP
20165	2238	7	]	]	-RRB-
20165	2238	8	.	.	.
20165	2239	1	F	F	NNP
20165	2239	2	Farningham	Farningham	NNP
20165	2239	3	,	,	,
20165	2239	4	95	95	CD
20165	2239	5	[	[	-LRB-
20165	2239	6	103	103	CD
20165	2239	7	]	]	-RRB-
20165	2239	8	.	.	.
20165	2240	1	figures	figure	NNS
20165	2240	2	on	on	IN
20165	2240	3	descending	descend	VBG
20165	2240	4	plane	plane	NN
20165	2240	5	,	,	,
20165	2240	6	92	92	CD
20165	2240	7	[	[	-LRB-
20165	2240	8	XLIV	XLIV	NNP
20165	2240	9	]	]	-RRB-
20165	2240	10	,	,	,
20165	2240	11	93	93	CD
20165	2240	12	[	[	-LRB-
20165	2240	13	100	100	CD
20165	2240	14	]	]	-RRB-
20165	2240	15	,	,	,
20165	2240	16	94	94	CD
20165	2240	17	[	[	-LRB-
20165	2240	18	102	102	CD
20165	2240	19	]	]	-RRB-
20165	2240	20	,	,	,
20165	2240	21	95	95	CD
20165	2240	22	[	[	-LRB-
20165	2240	23	XLV	XLV	NNP
20165	2240	24	]	]	-RRB-
20165	2240	25	.	.	.
20165	2240	26	"	"	''
20165	2241	1	"	"	``
20165	2241	2	an	an	DT
20165	2241	3	inclined	incline	VBN
20165	2241	4	plane	plane	NN
20165	2241	5	,	,	,
20165	2241	6	88	88	CD
20165	2241	7	[	[	-LRB-
20165	2241	8	XL	XL	NNP
20165	2241	9	]	]	-RRB-
20165	2241	10	.	.	.
20165	2241	11	"	"	''
20165	2242	1	"	"	``
20165	2242	2	a	a	DT
20165	2242	3	level	level	NN
20165	2242	4	plane	plane	NN
20165	2242	5	,	,	,
20165	2242	6	70	70	CD
20165	2242	7	[	[	-LRB-
20165	2242	8	79	79	CD
20165	2242	9	]	]	-RRB-
20165	2242	10	,	,	,
20165	2242	11	71	71	CD
20165	2242	12	[	[	-LRB-
20165	2242	13	XXVIII	XXVIII	NNP
20165	2242	14	]	]	-RRB-
20165	2242	15	,	,	,
20165	2242	16	72	72	CD
20165	2242	17	[	[	-LRB-
20165	2242	18	81	81	CD
20165	2242	19	]	]	-RRB-
20165	2242	20	,	,	,
20165	2242	21	73	73	CD
20165	2242	22	[	[	-LRB-
20165	2242	23	82	82	CD
20165	2242	24	]	]	-RRB-
20165	2242	25	,	,	,
20165	2242	26	74	74	CD
20165	2242	27	[	[	-LRB-
20165	2242	28	XXX	XXX	NNP
20165	2242	29	]	]	-RRB-
20165	2242	30	,	,	,
20165	2242	31	75	75	CD
20165	2242	32	[	[	-LRB-
20165	2242	33	XXXI	XXXI	NNP
20165	2242	34	]	]	-RRB-
20165	2242	35	.	.	.
20165	2242	36	"	"	''
20165	2243	1	"	"	``
20165	2243	2	uneven	uneven	JJ
20165	2243	3	ground	ground	NN
20165	2243	4	,	,	,
20165	2243	5	90	90	CD
20165	2243	6	[	[	-LRB-
20165	2243	7	XLII	xlii	NN
20165	2243	8	]	]	-RRB-
20165	2243	9	,	,	,
20165	2243	10	91	91	CD
20165	2243	11	[	[	-LRB-
20165	2243	12	XLIII	xliii	NN
20165	2243	13	]	]	-RRB-
20165	2243	14	.	.	.
20165	2244	1	G	G	NNP
20165	2244	2	Geometrical	Geometrical	NNP
20165	2244	3	and	and	CC
20165	2244	4	Perspective	Perspective	NNP
20165	2244	5	figures	figure	NNS
20165	2244	6	contrasted	contrast	VBN
20165	2244	7	,	,	,
20165	2244	8	46	46	CD
20165	2244	9	[	[	-LRB-
20165	2244	10	XII	XII	NNP
20165	2244	11	]	]	-RRB-
20165	2244	12	-	-	:
20165	2244	13	48	48	CD
20165	2244	14	.	.	.
20165	2244	15	"	"	''
20165	2245	1	plane	plane	NN
20165	2245	2	,	,	,
20165	2245	3	99	99	CD
20165	2245	4	[	[	-LRB-
20165	2245	5	L	l	NN
20165	2245	6	]	]	-RRB-
20165	2245	7	.	.	.
20165	2246	1	Giovanni	Giovanni	NNP
20165	2246	2	da	da	NNP
20165	2246	3	Pistoya	Pistoya	NNP
20165	2246	4	,	,	,
20165	2246	5	Sonnet	Sonnet	NNP
20165	2246	6	to	to	IN
20165	2246	7	,	,	,
20165	2246	8	by	by	IN
20165	2246	9	Michelangelo	Michelangelo	NNP
20165	2246	10	,	,	,
20165	2246	11	60	60	CD
20165	2246	12	.	.	.
20165	2247	1	Great	Great	NNP
20165	2247	2	Pyramid	Pyramid	NNP
20165	2247	3	,	,	,
20165	2247	4	190	190	CD
20165	2247	5	[	[	-LRB-
20165	2247	6	CXXII	CXXII	NNP
20165	2247	7	]	]	-RRB-
20165	2247	8	.	.	.
20165	2248	1	H	H	NNP
20165	2248	2	Hexagon	Hexagon	NNP
20165	2248	3	,	,	,
20165	2248	4	177	177	CD
20165	2248	5	[	[	-LRB-
20165	2248	6	CXIV	CXIV	NNP
20165	2248	7	]	]	-RRB-
20165	2248	8	,	,	,
20165	2248	9	183	183	CD
20165	2248	10	[	[	-LRB-
20165	2248	11	CXVII	CXVII	NNP
20165	2248	12	]	]	-RRB-
20165	2248	13	,	,	,
20165	2248	14	185	185	CD
20165	2248	15	[	[	-LRB-
20165	2248	16	CXIX	CXIX	NNP
20165	2248	17	]	]	-RRB-
20165	2248	18	.	.	.
20165	2249	1	Hogarth	hogarth	RB
20165	2249	2	,	,	,
20165	2249	3	9	9	CD
20165	2249	4	.	.	.
20165	2250	1	Honfleur	Honfleur	NNP
20165	2250	2	,	,	,
20165	2250	3	83	83	CD
20165	2250	4	[	[	-LRB-
20165	2250	5	92	92	CD
20165	2250	6	]	]	-RRB-
20165	2250	7	,	,	,
20165	2250	8	142	142	CD
20165	2250	9	[	[	-LRB-
20165	2250	10	163	163	CD
20165	2250	11	]	]	-RRB-
20165	2250	12	.	.	.
20165	2251	1	Horizon	Horizon	NNP
20165	2251	2	,	,	,
20165	2251	3	3	3	CD
20165	2251	4	,	,	,
20165	2251	5	4	4	CD
20165	2251	6	,	,	,
20165	2251	7	15	15	CD
20165	2251	8	[	[	-LRB-
20165	2251	9	II	II	NNP
20165	2251	10	]	]	-RRB-
20165	2251	11	,	,	,
20165	2251	12	20	20	CD
20165	2251	13	,	,	,
20165	2251	14	59	59	CD
20165	2251	15	[	[	-LRB-
20165	2251	16	XX	XX	NNP
20165	2251	17	]	]	-RRB-
20165	2251	18	,	,	,
20165	2251	19	60	60	CD
20165	2251	20	[	[	-LRB-
20165	2251	21	66	66	CD
20165	2251	22	]	]	-RRB-
20165	2251	23	.	.	.
20165	2252	1	Horizontal	horizontal	JJ
20165	2252	2	line	line	NN
20165	2252	3	,	,	,
20165	2252	4	13	13	CD
20165	2252	5	[	[	-LRB-
20165	2252	6	I	i	NN
20165	2252	7	]	]	-RRB-
20165	2252	8	,	,	,
20165	2252	9	15	15	CD
20165	2252	10	[	[	-LRB-
20165	2252	11	II	II	NNP
20165	2252	12	]	]	-RRB-
20165	2252	13	.	.	.
20165	2253	1	Horizontals	horizontal	NNS
20165	2253	2	,	,	,
20165	2253	3	30	30	CD
20165	2253	4	,	,	,
20165	2253	5	31	31	CD
20165	2253	6	,	,	,
20165	2253	7	36	36	CD
20165	2253	8	.	.	.
20165	2254	1	I	-PRON-	PRP
20165	2254	2	Inaccessible	inaccessible	JJ
20165	2254	3	vanishing	vanishing	JJ
20165	2254	4	points	point	NNS
20165	2254	5	,	,	,
20165	2254	6	77	77	CD
20165	2254	7	[	[	-LRB-
20165	2254	8	XXXII	XXXII	NNP
20165	2254	9	]	]	-RRB-
20165	2254	10	,	,	,
20165	2254	11	78	78	CD
20165	2254	12	[	[	-LRB-
20165	2254	13	XXXIII	XXXIII	NNP
20165	2254	14	]	]	-RRB-
20165	2254	15	,	,	,
20165	2254	16	136	136	CD
20165	2254	17	,	,	,
20165	2254	18	140	140	CD
20165	2254	19	-	-	SYM
20165	2254	20	144	144	CD
20165	2254	21	.	.	.
20165	2255	1	Inclined	inclined	JJ
20165	2255	2	plane	plane	NN
20165	2255	3	,	,	,
20165	2255	4	33	33	CD
20165	2255	5	,	,	,
20165	2255	6	118	118	CD
20165	2255	7	,	,	,
20165	2255	8	213	213	CD
20165	2255	9	[	[	-LRB-
20165	2255	10	CXXXVIII	CXXXVIII	NNP
20165	2255	11	]	]	-RRB-
20165	2255	12	,	,	,
20165	2255	13	244	244	CD
20165	2255	14	[	[	-LRB-
20165	2255	15	XLV	XLV	NNP
20165	2255	16	]	]	-RRB-
20165	2255	17	,	,	,
20165	2255	18	245	245	CD
20165	2255	19	[	[	-LRB-
20165	2255	20	XLVI	xlvi	NN
20165	2255	21	]	]	-RRB-
20165	2255	22	.	.	.
20165	2256	1	Interiors	interior	NNS
20165	2256	2	,	,	,
20165	2256	3	62	62	CD
20165	2256	4	[	[	-LRB-
20165	2256	5	XXI	XXI	NNP
20165	2256	6	]	]	-RRB-
20165	2256	7	,	,	,
20165	2256	8	117	117	CD
20165	2256	9	[	[	-LRB-
20165	2256	10	LXVI	LXVI	NNP
20165	2256	11	]	]	-RRB-
20165	2256	12	,	,	,
20165	2256	13	118	118	CD
20165	2256	14	[	[	-LRB-
20165	2256	15	LXVII	LXVII	NNP
20165	2256	16	]	]	-RRB-
20165	2256	17	,	,	,
20165	2256	18	128	128	CD
20165	2256	19	.	.	.
20165	2257	1	J	J	NNP
20165	2257	2	Japanese	Japanese	NNP
20165	2257	3	Art	Art	NNP
20165	2257	4	,	,	,
20165	2257	5	11	11	CD
20165	2257	6	.	.	.
20165	2258	1	Jesuit	Jesuit	NNP
20165	2258	2	of	of	IN
20165	2258	3	Paris	Paris	NNP
20165	2258	4	,	,	,
20165	2258	5	Practice	Practice	NNP
20165	2258	6	of	of	IN
20165	2258	7	Perspective	Perspective	NNP
20165	2258	8	by	by	IN
20165	2258	9	,	,	,
20165	2258	10	9	9	CD
20165	2258	11	.	.	.
20165	2259	1	K	K	NNP
20165	2259	2	Kiosk	Kiosk	NNP
20165	2259	3	,	,	,
20165	2259	4	Application	Application	NNP
20165	2259	5	of	of	IN
20165	2259	6	Hexagon	Hexagon	NNP
20165	2259	7	,	,	,
20165	2259	8	185	185	CD
20165	2259	9	[	[	-LRB-
20165	2259	10	XCIX	XCIX	NNP
20165	2259	11	]	]	-RRB-
20165	2259	12	.	.	.
20165	2260	1	Kirby	Kirby	NNP
20165	2260	2	,	,	,
20165	2260	3	Joshua	Joshua	NNP
20165	2260	4	,	,	,
20165	2260	5	Perspective	Perspective	NNP
20165	2260	6	made	make	VBD
20165	2260	7	Easy	Easy	NNP
20165	2260	8	(	(	-LRB-
20165	2260	9	?	?	.
20165	2261	1	)	)	-RRB-
20165	2261	2	,	,	,
20165	2261	3	9	9	CD
20165	2261	4	.	.	.
20165	2262	1	L	L	NNP
20165	2262	2	Ladder	Ladder	NNP
20165	2262	3	,	,	,
20165	2262	4	Step	Step	NNP
20165	2262	5	,	,	,
20165	2262	6	212	212	CD
20165	2262	7	[	[	-LRB-
20165	2262	8	CXXXVII	cxxxvii	NN
20165	2262	9	]	]	-RRB-
20165	2262	10	,	,	,
20165	2262	11	216	216	CD
20165	2262	12	[	[	-LRB-
20165	2262	13	CXL	CXL	NNP
20165	2262	14	]	]	-RRB-
20165	2262	15	.	.	.
20165	2263	1	Landscape	Landscape	NNP
20165	2263	2	Perspective	Perspective	NNP
20165	2263	3	,	,	,
20165	2263	4	74	74	CD
20165	2263	5	[	[	-LRB-
20165	2263	6	XXX	XXX	NNP
20165	2263	7	]	]	-RRB-
20165	2263	8	.	.	.
20165	2264	1	Landseer	Landseer	NNP
20165	2264	2	,	,	,
20165	2264	3	Sir	Sir	NNP
20165	2264	4	Edwin	Edwin	NNP
20165	2264	5	,	,	,
20165	2264	6	1	1	CD
20165	2264	7	.	.	.
20165	2265	1	Leonardo	Leonardo	NNP
20165	2265	2	da	da	NNP
20165	2265	3	Vinci	Vinci	NNP
20165	2265	4	,	,	,
20165	2265	5	1	1	CD
20165	2265	6	,	,	,
20165	2265	7	61	61	CD
20165	2265	8	.	.	.
20165	2266	1	Light	light	NN
20165	2266	2	,	,	,
20165	2266	3	Observations	observation	NNS
20165	2266	4	on	on	RB
20165	2266	5	,	,	,
20165	2266	6	253	253	CD
20165	2266	7	[	[	-LRB-
20165	2266	8	CLXIII	CLXIII	NNP
20165	2266	9	]	]	-RRB-
20165	2266	10	.	.	.
20165	2267	1	Light	light	JJ
20165	2267	2	-	-	HYPH
20165	2267	3	house	house	NN
20165	2267	4	,	,	,
20165	2267	5	84	84	CD
20165	2267	6	[	[	-LRB-
20165	2267	7	XXXVII	XXXVII	NNP
20165	2267	8	]	]	-RRB-
20165	2267	9	.	.	.
20165	2268	1	Long	long	JJ
20165	2268	2	distances	distance	NNS
20165	2268	3	,	,	,
20165	2268	4	85	85	CD
20165	2268	5	[	[	-LRB-
20165	2268	6	XXXVIII	xxxviii	NN
20165	2268	7	]	]	-RRB-
20165	2268	8	,	,	,
20165	2268	9	87	87	CD
20165	2268	10	[	[	-LRB-
20165	2268	11	XXXIX	xxxix	NN
20165	2268	12	]	]	-RRB-
20165	2268	13	.	.	.
20165	2269	1	M	M	NNP
20165	2269	2	Measure	measure	NN
20165	2269	3	distances	distance	VBZ
20165	2269	4	by	by	IN
20165	2269	5	square	square	JJ
20165	2269	6	and	and	CC
20165	2269	7	diagonal	diagonal	JJ
20165	2269	8	,	,	,
20165	2269	9	89	89	CD
20165	2269	10	[	[	-LRB-
20165	2269	11	XLI	XLI	NNP
20165	2269	12	]	]	-RRB-
20165	2269	13	,	,	,
20165	2269	14	128	128	CD
20165	2269	15	[	[	-LRB-
20165	2269	16	LXXVII	LXXVII	NNP
20165	2269	17	]	]	-RRB-
20165	2269	18	,	,	,
20165	2269	19	129	129	CD
20165	2269	20	.	.	.
20165	2269	21	"	"	''
20165	2270	1	vanishing	vanish	VBG
20165	2270	2	lines	line	NNS
20165	2270	3	,	,	,
20165	2270	4	How	how	WRB
20165	2270	5	to	to	TO
20165	2270	6	,	,	,
20165	2270	7	49	49	CD
20165	2270	8	[	[	-LRB-
20165	2270	9	XIV	XIV	NNP
20165	2270	10	]	]	-RRB-
20165	2270	11	,	,	,
20165	2270	12	50	50	CD
20165	2270	13	[	[	-LRB-
20165	2270	14	XV	XV	NNP
20165	2270	15	]	]	-RRB-
20165	2270	16	.	.	.
20165	2271	1	Measuring	measure	VBG
20165	2271	2	points	point	NNS
20165	2271	3	,	,	,
20165	2271	4	106	106	CD
20165	2271	5	[	[	-LRB-
20165	2271	6	LVII	LVII	NNP
20165	2271	7	]	]	-RRB-
20165	2271	8	,	,	,
20165	2271	9	113	113	CD
20165	2271	10	.	.	.
20165	2271	11	"	"	''
20165	2272	1	point	point	NN
20165	2272	2	O	O	NNP
20165	2272	3	,	,	,
20165	2272	4	108	108	CD
20165	2272	5	,	,	,
20165	2272	6	109	109	CD
20165	2272	7	,	,	,
20165	2272	8	110	110	CD
20165	2272	9	[	[	-LRB-
20165	2272	10	LX	LX	NNP
20165	2272	11	]	]	-RRB-
20165	2272	12	.	.	.
20165	2273	1	Mental	Mental	NNP
20165	2273	2	Perspective	Perspective	NNP
20165	2273	3	,	,	,
20165	2273	4	269	269	CD
20165	2273	5	[	[	-LRB-
20165	2273	6	CLXX	CLXX	NNP
20165	2273	7	]	]	-RRB-
20165	2273	8	.	.	.
20165	2274	1	Michelangelo	Michelangelo	NNP
20165	2274	2	,	,	,
20165	2274	3	5	5	CD
20165	2274	4	,	,	,
20165	2274	5	57	57	CD
20165	2274	6	,	,	,
20165	2274	7	58	58	CD
20165	2274	8	,	,	,
20165	2274	9	60	60	CD
20165	2274	10	.	.	.
20165	2275	1	N	N	NNP
20165	2275	2	Natural	Natural	NNP
20165	2275	3	Perspective	Perspective	NNP
20165	2275	4	,	,	,
20165	2275	5	12	12	CD
20165	2275	6	,	,	,
20165	2275	7	82	82	CD
20165	2275	8	[	[	-LRB-
20165	2275	9	91	91	CD
20165	2275	10	]	]	-RRB-
20165	2275	11	,	,	,
20165	2275	12	95	95	CD
20165	2275	13	[	[	-LRB-
20165	2275	14	103	103	CD
20165	2275	15	]	]	-RRB-
20165	2275	16	,	,	,
20165	2275	17	142	142	CD
20165	2275	18	[	[	-LRB-
20165	2275	19	163	163	CD
20165	2275	20	]	]	-RRB-
20165	2275	21	,	,	,
20165	2275	22	144	144	CD
20165	2275	23	[	[	-LRB-
20165	2275	24	164	164	CD
20165	2275	25	]	]	-RRB-
20165	2275	26	.	.	.
20165	2276	1	New	new	JJ
20165	2276	2	Method	Method	NNP
20165	2276	3	of	of	IN
20165	2276	4	Angular	Angular	NNP
20165	2276	5	Perspective	Perspective	NNP
20165	2276	6	,	,	,
20165	2276	7	133	133	CD
20165	2276	8	[	[	-LRB-
20165	2276	9	LXXX	LXXX	NNP
20165	2276	10	]	]	-RRB-
20165	2276	11	,	,	,
20165	2276	12	134	134	CD
20165	2276	13	[	[	-LRB-
20165	2276	14	LXXXI	LXXXI	NNP
20165	2276	15	]	]	-RRB-
20165	2276	16	,	,	,
20165	2276	17	135	135	CD
20165	2276	18	[	[	-LRB-
20165	2276	19	LXXXII	lxxxii	NN
20165	2276	20	]	]	-RRB-
20165	2276	21	,	,	,
20165	2276	22	141	141	CD
20165	2276	23	[	[	-LRB-
20165	2276	24	LXXXVI	LXXXVI	NNP
20165	2276	25	]	]	-RRB-
20165	2276	26	,	,	,
20165	2276	27	215	215	CD
20165	2276	28	[	[	-LRB-
20165	2276	29	CXXXIX	CXXXIX	NNP
20165	2276	30	]	]	-RRB-
20165	2276	31	,	,	,
20165	2276	32	219	219	CD
20165	2276	33	.	.	.
20165	2277	1	Niche	Niche	NNP
20165	2277	2	,	,	,
20165	2277	3	164	164	CD
20165	2277	4	[	[	-LRB-
20165	2277	5	CIV	CIV	NNP
20165	2277	6	]	]	-RRB-
20165	2277	7	,	,	,
20165	2277	8	165	165	CD
20165	2277	9	[	[	-LRB-
20165	2277	10	193	193	CD
20165	2277	11	]	]	-RRB-
20165	2277	12	,	,	,
20165	2277	13	250	250	CD
20165	2277	14	[	[	-LRB-
20165	2277	15	CLX	CLX	NNP
20165	2277	16	]	]	-RRB-
20165	2277	17	.	.	.
20165	2278	1	O	o	UH
20165	2278	2	Oblique	Oblique	NNP
20165	2278	3	Square	Square	NNP
20165	2278	4	,	,	,
20165	2278	5	139	139	CD
20165	2278	6	[	[	-LRB-
20165	2278	7	LXXXV	LXXXV	NNP
20165	2278	8	]	]	-RRB-
20165	2278	9	.	.	.
20165	2279	1	Octagon	Octagon	NNP
20165	2279	2	,	,	,
20165	2279	3	172	172	CD
20165	2279	4	[	[	-LRB-
20165	2279	5	CIX	CIX	NNP
20165	2279	6	]	]	-RRB-
20165	2279	7	-	-	:
20165	2279	8	175	175	CD
20165	2279	9	[	[	-LRB-
20165	2279	10	202	202	CD
20165	2279	11	]	]	-RRB-
20165	2279	12	.	.	.
20165	2280	1	O	o	UH
20165	2280	2	,	,	,
20165	2280	3	measuring	measuring	NN
20165	2280	4	point	point	NN
20165	2280	5	,	,	,
20165	2280	6	110	110	CD
20165	2280	7	[	[	-LRB-
20165	2280	8	LX	LX	NNP
20165	2280	9	]	]	-RRB-
20165	2280	10	.	.	.
20165	2281	1	Optic	Optic	NNP
20165	2281	2	Cone	Cone	NNP
20165	2281	3	,	,	,
20165	2281	4	20	20	CD
20165	2281	5	[	[	-LRB-
20165	2281	6	IV	IV	NNP
20165	2281	7	]	]	-RRB-
20165	2281	8	.	.	.
20165	2282	1	P	p	NN
20165	2282	2	Parallels	Parallels	NNPS
20165	2282	3	and	and	CC
20165	2282	4	Diagonals	Diagonals	NNPS
20165	2282	5	,	,	,
20165	2282	6	124	124	CD
20165	2282	7	[	[	-LRB-
20165	2282	8	LXXIII	LXXIII	NNP
20165	2282	9	]	]	-RRB-
20165	2282	10	-	-	:
20165	2282	11	128	128	CD
20165	2282	12	[	[	-LRB-
20165	2282	13	LXXVI	LXXVI	NNP
20165	2282	14	]	]	-RRB-
20165	2282	15	.	.	.
20165	2283	1	Paul	Paul	NNP
20165	2283	2	Potter	Potter	NNP
20165	2283	3	,	,	,
20165	2283	4	cattle	cattle	NNS
20165	2283	5	,	,	,
20165	2283	6	19	19	CD
20165	2283	7	[	[	-LRB-
20165	2283	8	16	16	CD
20165	2283	9	]	]	-RRB-
20165	2283	10	.	.	.
20165	2284	1	Paul	Paul	NNP
20165	2284	2	Veronese	Veronese	NNP
20165	2284	3	,	,	,
20165	2284	4	4	4	CD
20165	2284	5	.	.	.
20165	2285	1	Pavements	pavement	NNS
20165	2285	2	,	,	,
20165	2285	3	64	64	CD
20165	2285	4	[	[	-LRB-
20165	2285	5	XXII	XXII	NNP
20165	2285	6	]	]	-RRB-
20165	2285	7	,	,	,
20165	2285	8	66	66	CD
20165	2285	9	[	[	-LRB-
20165	2285	10	XXIV	XXIV	NNP
20165	2285	11	]	]	-RRB-
20165	2285	12	,	,	,
20165	2285	13	176	176	CD
20165	2285	14	[	[	-LRB-
20165	2285	15	CXIII	CXIII	NNP
20165	2285	16	]	]	-RRB-
20165	2285	17	,	,	,
20165	2285	18	178	178	CD
20165	2285	19	[	[	-LRB-
20165	2285	20	CXV	CXV	NNP
20165	2285	21	]	]	-RRB-
20165	2285	22	,	,	,
20165	2285	23	180	180	CD
20165	2285	24	[	[	-LRB-
20165	2285	25	209],181	209],181	NNP
20165	2285	26	[	[	-LRB-
20165	2285	27	CXVI	CXVI	NNP
20165	2285	28	]	]	-RRB-
20165	2285	29	,	,	,
20165	2285	30	183	183	CD
20165	2285	31	[	[	-LRB-
20165	2285	32	CXVII	CXVII	NNP
20165	2285	33	]	]	-RRB-
20165	2285	34	.	.	.
20165	2286	1	Pedestal	pedestal	JJ
20165	2286	2	,	,	,
20165	2286	3	141	141	CD
20165	2286	4	[	[	-LRB-
20165	2286	5	LXXXVI	LXXXVI	NNP
20165	2286	6	]	]	-RRB-
20165	2286	7	,	,	,
20165	2286	8	161	161	CD
20165	2286	9	[	[	-LRB-
20165	2286	10	CI	CI	NNP
20165	2286	11	]	]	-RRB-
20165	2286	12	.	.	.
20165	2287	1	Pentagon	Pentagon	NNP
20165	2287	2	,	,	,
20165	2287	3	186	186	CD
20165	2287	4	[	[	-LRB-
20165	2287	5	CXX	CXX	NNP
20165	2287	6	]	]	-RRB-
20165	2287	7	,	,	,
20165	2287	8	187	187	CD
20165	2287	9	[	[	-LRB-
20165	2287	10	217	217	CD
20165	2287	11	]	]	-RRB-
20165	2287	12	,	,	,
20165	2287	13	188	188	CD
20165	2287	14	[	[	-LRB-
20165	2287	15	219	219	CD
20165	2287	16	]	]	-RRB-
20165	2287	17	.	.	.
20165	2288	1	Perspective	Perspective	NNP
20165	2288	2	,	,	,
20165	2288	3	Angular	Angular	NNP
20165	2288	4	,	,	,
20165	2288	5	98	98	CD
20165	2288	6	[	[	-LRB-
20165	2288	7	XLIX	xlix	NN
20165	2288	8	]	]	-RRB-
20165	2288	9	-	-	:
20165	2288	10	123	123	CD
20165	2288	11	[	[	-LRB-
20165	2288	12	LXXII	LXXII	NNP
20165	2288	13	]	]	-RRB-
20165	2288	14	.	.	.
20165	2288	15	"	"	''
20165	2289	1	Definitions	definition	NNS
20165	2289	2	,	,	,
20165	2289	3	13	13	CD
20165	2289	4	[	[	-LRB-
20165	2289	5	I	i	NN
20165	2289	6	]	]	-RRB-
20165	2289	7	-	-	:
20165	2289	8	23	23	CD
20165	2289	9	[	[	-LRB-
20165	2289	10	VI	VI	NNP
20165	2289	11	]	]	-RRB-
20165	2289	12	.	.	.
20165	2289	13	"	"	''
20165	2290	1	Necessity	necessity	NN
20165	2290	2	of	of	IN
20165	2290	3	,	,	,
20165	2290	4	1	1	CD
20165	2290	5	.	.	.
20165	2290	6	"	"	''
20165	2291	1	Parallel	parallel	NN
20165	2291	2	,	,	,
20165	2291	3	42	42	CD
20165	2291	4	-	-	SYM
20165	2291	5	97	97	CD
20165	2291	6	[	[	-LRB-
20165	2291	7	XLVII	XLVII	NNP
20165	2291	8	]	]	-RRB-
20165	2291	9	.	.	.
20165	2291	10	"	"	''
20165	2292	1	Rules	Rules	NNPS
20165	2292	2	and	and	CC
20165	2292	3	Conditions	condition	NNS
20165	2292	4	of	of	IN
20165	2292	5	,	,	,
20165	2292	6	24	24	CD
20165	2292	7	[	[	-LRB-
20165	2292	8	VII	VII	NNP
20165	2292	9	]	]	-RRB-
20165	2292	10	-	-	:
20165	2292	11	41	41	CD
20165	2292	12	.	.	.
20165	2292	13	"	"	''
20165	2293	1	Scientific	scientific	JJ
20165	2293	2	definition	definition	NN
20165	2293	3	of	of	IN
20165	2293	4	,	,	,
20165	2293	5	22	22	CD
20165	2293	6	[	[	-LRB-
20165	2293	7	VI	VI	NNP
20165	2293	8	]	]	-RRB-
20165	2293	9	.	.	.
20165	2293	10	"	"	''
20165	2294	1	Theory	theory	NN
20165	2294	2	of	of	IN
20165	2294	3	,	,	,
20165	2294	4	13	13	CD
20165	2294	5	-	-	SYM
20165	2294	6	24	24	CD
20165	2294	7	[	[	-LRB-
20165	2294	8	VI	VI	NNP
20165	2294	9	]	]	-RRB-
20165	2294	10	.	.	.
20165	2294	11	"	"	''
20165	2295	1	What	what	WP
20165	2295	2	is	be	VBZ
20165	2295	3	it	-PRON-	PRP
20165	2295	4	?	?	.
20165	2296	1	6	6	CD
20165	2296	2	-	-	SYM
20165	2296	3	12	12	CD
20165	2296	4	.	.	.
20165	2297	1	Pictures	picture	NNS
20165	2297	2	painted	paint	VBD
20165	2297	3	according	accord	VBG
20165	2297	4	to	to	IN
20165	2297	5	positions	position	NNS
20165	2297	6	they	-PRON-	PRP
20165	2297	7	are	be	VBP
20165	2297	8	to	to	TO
20165	2297	9	occupy	occupy	VB
20165	2297	10	,	,	,
20165	2297	11	59	59	CD
20165	2297	12	[	[	-LRB-
20165	2297	13	XX	XX	NNP
20165	2297	14	]	]	-RRB-
20165	2297	15	.	.	.
20165	2298	1	Point	point	NN
20165	2298	2	of	of	IN
20165	2298	3	Distance	Distance	NNP
20165	2298	4	,	,	,
20165	2298	5	16	16	CD
20165	2298	6	[	[	-LRB-
20165	2298	7	III	iii	CD
20165	2298	8	]	]	-RRB-
20165	2298	9	-	-	:
20165	2298	10	21	21	CD
20165	2298	11	[	[	-LRB-
20165	2298	12	IV	IV	NNP
20165	2298	13	]	]	-RRB-
20165	2298	14	.	.	.
20165	2298	15	"	"	''
20165	2299	1	"	"	``
20165	2299	2	Sight	Sight	NNP
20165	2299	3	,	,	,
20165	2299	4	12	12	CD
20165	2299	5	,	,	,
20165	2299	6	15	15	CD
20165	2299	7	[	[	-LRB-
20165	2299	8	II	II	NNP
20165	2299	9	]	]	-RRB-
20165	2299	10	.	.	.
20165	2300	1	Points	Points	NNP
20165	2300	2	in	in	IN
20165	2300	3	Space	Space	NNP
20165	2300	4	,	,	,
20165	2300	5	129	129	CD
20165	2300	6	[	[	-LRB-
20165	2300	7	LXXVIII	LXXVIII	NNP
20165	2300	8	]	]	-RRB-
20165	2300	9	,	,	,
20165	2300	10	137	137	CD
20165	2300	11	[	[	-LRB-
20165	2300	12	LXXXIII	LXXXIII	NNP
20165	2300	13	]	]	-RRB-
20165	2300	14	.	.	.
20165	2301	1	Portico	Portico	NNP
20165	2301	2	,	,	,
20165	2301	3	111	111	CD
20165	2301	4	[	[	-LRB-
20165	2301	5	122	122	CD
20165	2301	6	]	]	-RRB-
20165	2301	7	.	.	.
20165	2302	1	Projection	projection	NN
20165	2302	2	,	,	,
20165	2302	3	21	21	CD
20165	2302	4	[	[	-LRB-
20165	2302	5	V	v	NN
20165	2302	6	]	]	-RRB-
20165	2302	7	,	,	,
20165	2302	8	137	137	CD
20165	2302	9	.	.	.
20165	2303	1	Pyramid	pyramid	JJ
20165	2303	2	,	,	,
20165	2303	3	189	189	CD
20165	2303	4	[	[	-LRB-
20165	2303	5	CXXI	CXXI	NNP
20165	2303	6	]	]	-RRB-
20165	2303	7	,	,	,
20165	2303	8	190	190	CD
20165	2303	9	[	[	-LRB-
20165	2303	10	224	224	CD
20165	2303	11	]	]	-RRB-
20165	2303	12	,	,	,
20165	2303	13	191	191	CD
20165	2303	14	[	[	-LRB-
20165	2303	15	CXXII	CXXII	NNP
20165	2303	16	]	]	-RRB-
20165	2303	17	,	,	,
20165	2303	18	193	193	CD
20165	2303	19	[	[	-LRB-
20165	2303	20	CXXIII	CXXIII	NNP
20165	2303	21	]	]	-RRB-
20165	2303	22	-	-	SYM
20165	2303	23	196	196	CD
20165	2303	24	[	[	-LRB-
20165	2303	25	CXXV	CXXV	NNP
20165	2303	26	]	]	-RRB-
20165	2303	27	.	.	.
20165	2304	1	R	R	NNP
20165	2304	2	Raphael	Raphael	NNP
20165	2304	3	,	,	,
20165	2304	4	3	3	CD
20165	2304	5	.	.	.
20165	2305	1	Reduced	reduce	VBN
20165	2305	2	distance	distance	NN
20165	2305	3	,	,	,
20165	2305	4	77	77	CD
20165	2305	5	[	[	-LRB-
20165	2305	6	XXXIII	XXXIII	NNP
20165	2305	7	]	]	-RRB-
20165	2305	8	,	,	,
20165	2305	9	78	78	CD
20165	2305	10	[	[	-LRB-
20165	2305	11	XXXIV	XXXIV	NNP
20165	2305	12	]	]	-RRB-
20165	2305	13	,	,	,
20165	2305	14	79	79	CD
20165	2305	15	[	[	-LRB-
20165	2305	16	XXXV	XXXV	NNP
20165	2305	17	]	]	-RRB-
20165	2305	18	,	,	,
20165	2305	19	84	84	CD
20165	2305	20	[	[	-LRB-
20165	2305	21	90	90	CD
20165	2305	22	]	]	-RRB-
20165	2305	23	.	.	.
20165	2306	1	Reflection	reflection	NN
20165	2306	2	,	,	,
20165	2306	3	257	257	CD
20165	2306	4	[	[	-LRB-
20165	2306	5	CLXIV	CLXIV	NNP
20165	2306	6	]	]	-RRB-
20165	2306	7	-	-	:
20165	2306	8	268	268	CD
20165	2306	9	[	[	-LRB-
20165	2306	10	CLXIX	CLXIX	NNP
20165	2306	11	]	]	-RRB-
20165	2306	12	.	.	.
20165	2307	1	Rembrandt	Rembrandt	NNP
20165	2307	2	,	,	,
20165	2307	3	59	59	CD
20165	2307	4	[	[	-LRB-
20165	2307	5	XX	XX	NNP
20165	2307	6	]	]	-RRB-
20165	2307	7	,	,	,
20165	2307	8	256	256	CD
20165	2307	9	.	.	.
20165	2308	1	Reynolds	Reynolds	NNP
20165	2308	2	,	,	,
20165	2308	3	Sir	Sir	NNP
20165	2308	4	Joshua	Joshua	NNP
20165	2308	5	,	,	,
20165	2308	6	9	9	CD
20165	2308	7	,	,	,
20165	2308	8	60	60	CD
20165	2308	9	.	.	.
20165	2309	1	Rubens	Rubens	NNP
20165	2309	2	,	,	,
20165	2309	3	4	4	CD
20165	2309	4	.	.	.
20165	2310	1	Rules	rule	NNS
20165	2310	2	of	of	IN
20165	2310	3	Perspective	Perspective	NNP
20165	2310	4	,	,	,
20165	2310	5	24	24	CD
20165	2310	6	-	-	SYM
20165	2310	7	41	41	CD
20165	2310	8	.	.	.
20165	2311	1	S	S	NNP
20165	2311	2	Scale	scale	VB
20165	2311	3	on	on	IN
20165	2311	4	each	each	DT
20165	2311	5	side	side	NN
20165	2311	6	of	of	IN
20165	2311	7	Picture	picture	NN
20165	2311	8	,	,	,
20165	2311	9	141	141	CD
20165	2311	10	[	[	-LRB-
20165	2311	11	LXXXVII	LXXXVII	NNP
20165	2311	12	]	]	-RRB-
20165	2311	13	,	,	,
20165	2311	14	142	142	CD
20165	2311	15	[	[	-LRB-
20165	2311	16	163	163	CD
20165	2311	17	]	]	-RRB-
20165	2311	18	-	-	SYM
20165	2311	19	144	144	CD
20165	2311	20	[	[	-LRB-
20165	2311	21	164	164	CD
20165	2311	22	]	]	-RRB-
20165	2311	23	.	.	.
20165	2311	24	"	"	''
20165	2312	1	Vanishing	Vanishing	NNP
20165	2312	2	,	,	,
20165	2312	3	69	69	CD
20165	2312	4	[	[	-LRB-
20165	2312	5	XXVI	XXVI	NNP
20165	2312	6	]	]	-RRB-
20165	2312	7	,	,	,
20165	2312	8	71	71	CD
20165	2312	9	[	[	-LRB-
20165	2312	10	XXVII	XXVII	NNP
20165	2312	11	]	]	-RRB-
20165	2312	12	,	,	,
20165	2312	13	81	81	CD
20165	2312	14	[	[	-LRB-
20165	2312	15	XXXVI	XXXVI	NNP
20165	2312	16	]	]	-RRB-
20165	2312	17	,	,	,
20165	2312	18	84	84	CD
20165	2312	19	[	[	-LRB-
20165	2312	20	90	90	CD
20165	2312	21	]	]	-RRB-
20165	2312	22	.	.	.
20165	2313	1	Serlio	Serlio	NNP
20165	2313	2	,	,	,
20165	2313	3	5	5	CD
20165	2313	4	,	,	,
20165	2313	5	126	126	CD
20165	2313	6	[	[	-LRB-
20165	2313	7	LXXV	LXXV	NNP
20165	2313	8	]	]	-RRB-
20165	2313	9	.	.	.
20165	2314	1	Shadows	shadow	NNS
20165	2314	2	cast	cast	VBN
20165	2314	3	by	by	IN
20165	2314	4	sun	sun	NN
20165	2314	5	,	,	,
20165	2314	6	229	229	CD
20165	2314	7	[	[	-LRB-
20165	2314	8	CXLVII	CXLVII	NNP
20165	2314	9	]	]	-RRB-
20165	2314	10	-	-	:
20165	2314	11	252	252	CD
20165	2314	12	[	[	-LRB-
20165	2314	13	CLXI	CLXI	NNP
20165	2314	14	]	]	-RRB-
20165	2314	15	.	.	.
20165	2314	16	"	"	''
20165	2315	1	"	"	``
20165	2315	2	"	"	``
20165	2315	3	artificial	artificial	JJ
20165	2315	4	light	light	NN
20165	2315	5	,	,	,
20165	2315	6	252	252	CD
20165	2315	7	[	[	-LRB-
20165	2315	8	CLXII	CLXII	NNP
20165	2315	9	]	]	-RRB-
20165	2315	10	.	.	.
20165	2316	1	Sight	Sight	NNP
20165	2316	2	,	,	,
20165	2316	3	Point	Point	NNP
20165	2316	4	of	of	IN
20165	2316	5	,	,	,
20165	2316	6	12	12	CD
20165	2316	7	,	,	,
20165	2316	8	15	15	CD
20165	2316	9	[	[	-LRB-
20165	2316	10	II	II	NNP
20165	2316	11	]	]	-RRB-
20165	2316	12	.	.	.
20165	2317	1	Sistine	Sistine	NNP
20165	2317	2	Chapel	Chapel	NNP
20165	2317	3	,	,	,
20165	2317	4	60	60	CD
20165	2317	5	.	.	.
20165	2318	1	Solid	solid	JJ
20165	2318	2	figures	figure	NNS
20165	2318	3	,	,	,
20165	2318	4	135	135	CD
20165	2318	5	[	[	-LRB-
20165	2318	6	LXXXII	lxxxii	NN
20165	2318	7	]	]	-RRB-
20165	2318	8	-	-	:
20165	2318	9	140	140	CD
20165	2318	10	[	[	-LRB-
20165	2318	11	LXXXV	LXXXV	NNP
20165	2318	12	]	]	-RRB-
20165	2318	13	.	.	.
20165	2319	1	Square	Square	NNP
20165	2319	2	in	in	IN
20165	2319	3	Angular	Angular	NNP
20165	2319	4	Perspective	Perspective	NNP
20165	2319	5	,	,	,
20165	2319	6	105	105	CD
20165	2319	7	[	[	-LRB-
20165	2319	8	LVI	LVI	NNP
20165	2319	9	]	]	-RRB-
20165	2319	10	,	,	,
20165	2319	11	106	106	CD
20165	2319	12	[	[	-LRB-
20165	2319	13	LVII	LVII	NNP
20165	2319	14	]	]	-RRB-
20165	2319	15	,	,	,
20165	2319	16	109	109	CD
20165	2319	17	[	[	-LRB-
20165	2319	18	120	120	CD
20165	2319	19	]	]	-RRB-
20165	2319	20	,	,	,
20165	2319	21	112	112	CD
20165	2319	22	[	[	-LRB-
20165	2319	23	LXII	LXII	NNP
20165	2319	24	]	]	-RRB-
20165	2319	25	,	,	,
20165	2319	26	114	114	CD
20165	2319	27	[	[	-LRB-
20165	2319	28	LXIII	LXIII	NNP
20165	2319	29	]	]	-RRB-
20165	2319	30	,	,	,
20165	2319	31	121	121	CD
20165	2319	32	[	[	-LRB-
20165	2319	33	LXX	lxx	NN
20165	2319	34	]	]	-RRB-
20165	2319	35	,	,	,
20165	2319	36	122	122	CD
20165	2319	37	[	[	-LRB-
20165	2319	38	LXXI	LXXI	NNP
20165	2319	39	]	]	-RRB-
20165	2319	40	,	,	,
20165	2319	41	123	123	CD
20165	2319	42	[	[	-LRB-
20165	2319	43	LXXII	LXXII	NNP
20165	2319	44	]	]	-RRB-
20165	2319	45	,	,	,
20165	2319	46	133	133	CD
20165	2319	47	[	[	-LRB-
20165	2319	48	LXXX	LXXX	NNP
20165	2319	49	]	]	-RRB-
20165	2319	50	,	,	,
20165	2319	51	134	134	CD
20165	2319	52	[	[	-LRB-
20165	2319	53	LXXXI	LXXXI	NNP
20165	2319	54	]	]	-RRB-
20165	2319	55	,	,	,
20165	2319	56	139	139	CD
20165	2319	57	[	[	-LRB-
20165	2319	58	LXXXV	LXXXV	NNP
20165	2319	59	]	]	-RRB-
20165	2319	60	.	.	.
20165	2319	61	"	"	''
20165	2320	1	and	and	CC
20165	2320	2	diagonals	diagonal	NNS
20165	2320	3	,	,	,
20165	2320	4	125	125	CD
20165	2320	5	[	[	-LRB-
20165	2320	6	LXXIV	LXXIV	NNP
20165	2320	7	]	]	-RRB-
20165	2320	8	,	,	,
20165	2320	9	138	138	CD
20165	2320	10	[	[	-LRB-
20165	2320	11	LXXXIV	LXXXIV	NNP
20165	2320	12	]	]	-RRB-
20165	2320	13	,	,	,
20165	2320	14	139	139	CD
20165	2320	15	[	[	-LRB-
20165	2320	16	LXXXV	LXXXV	NNP
20165	2320	17	]	]	-RRB-
20165	2320	18	,	,	,
20165	2320	19	141	141	CD
20165	2320	20	[	[	-LRB-
20165	2320	21	LXXXVI	LXXXVI	NNP
20165	2320	22	]	]	-RRB-
20165	2320	23	.	.	.
20165	2320	24	"	"	''
20165	2321	1	of	of	IN
20165	2321	2	the	the	DT
20165	2321	3	hypotenuse	hypotenuse	NN
20165	2321	4	(	(	-LRB-
20165	2321	5	fig	fig	NN
20165	2321	6	.	.	.
20165	2322	1	170	170	LS
20165	2322	2	)	)	-RRB-
20165	2322	3	,	,	,
20165	2322	4	149	149	CD
20165	2322	5	[	[	-LRB-
20165	2322	6	170	170	CD
20165	2322	7	]	]	-RRB-
20165	2322	8	.	.	.
20165	2322	9	"	"	''
20165	2323	1	in	in	IN
20165	2323	2	Parallel	Parallel	NNP
20165	2323	3	Perspective	Perspective	NNP
20165	2323	4	,	,	,
20165	2323	5	42	42	CD
20165	2323	6	[	[	-LRB-
20165	2323	7	IX	ix	NN
20165	2323	8	]	]	-RRB-
20165	2323	9	,	,	,
20165	2323	10	43	43	CD
20165	2323	11	[	[	-LRB-
20165	2323	12	X	x	NN
20165	2323	13	]	]	-RRB-
20165	2323	14	,	,	,
20165	2323	15	50	50	CD
20165	2323	16	[	[	-LRB-
20165	2323	17	XV	XV	NNP
20165	2323	18	]	]	-RRB-
20165	2323	19	,	,	,
20165	2323	20	53	53	CD
20165	2323	21	[	[	-LRB-
20165	2323	22	XVII	XVII	NNP
20165	2323	23	]	]	-RRB-
20165	2323	24	,	,	,
20165	2323	25	54	54	CD
20165	2323	26	[	[	-LRB-
20165	2323	27	XIX	XIX	NNP
20165	2323	28	]	]	-RRB-
20165	2323	29	.	.	.
20165	2323	30	"	"	''
20165	2324	1	at	at	IN
20165	2324	2	45	45	CD
20165	2324	3	°	°	NNS
20165	2324	4	,	,	,
20165	2324	5	64	64	CD
20165	2324	6	[	[	-LRB-
20165	2324	7	XXII	XXII	NNP
20165	2324	8	]	]	-RRB-
20165	2324	9	-	-	:
20165	2324	10	66	66	CD
20165	2324	11	[	[	-LRB-
20165	2324	12	XXIV	XXIV	NNP
20165	2324	13	]	]	-RRB-
20165	2324	14	.	.	.
20165	2325	1	Staircase	staircase	NN
20165	2325	2	leading	lead	VBG
20165	2325	3	to	to	IN
20165	2325	4	a	a	DT
20165	2325	5	Gallery	Gallery	NNP
20165	2325	6	,	,	,
20165	2325	7	221	221	CD
20165	2325	8	[	[	-LRB-
20165	2325	9	CXLIII	CXLIII	NNP
20165	2325	10	]	]	-RRB-
20165	2325	11	.	.	.
20165	2326	1	Stairs	Stairs	NNP
20165	2326	2	,	,	,
20165	2326	3	Winding	Winding	NNP
20165	2326	4	,	,	,
20165	2326	5	222	222	CD
20165	2326	6	[	[	-LRB-
20165	2326	7	CXLIV	CXLIV	NNP
20165	2326	8	]	]	-RRB-
20165	2326	9	,	,	,
20165	2326	10	225	225	CD
20165	2326	11	[	[	-LRB-
20165	2326	12	CXLV	CXLV	NNP
20165	2326	13	]	]	-RRB-
20165	2326	14	.	.	.
20165	2327	1	Station	Station	NNP
20165	2327	2	Point	Point	NNP
20165	2327	3	,	,	,
20165	2327	4	13	13	CD
20165	2327	5	[	[	-LRB-
20165	2327	6	I	i	NN
20165	2327	7	]	]	-RRB-
20165	2327	8	.	.	.
20165	2328	1	Steps	step	NNS
20165	2328	2	,	,	,
20165	2328	3	209	209	CD
20165	2328	4	[	[	-LRB-
20165	2328	5	CXXXIV	CXXXIV	NNP
20165	2328	6	]	]	-RRB-
20165	2328	7	-	-	:
20165	2328	8	218	218	CD
20165	2328	9	[	[	-LRB-
20165	2328	10	CXLII	CXLII	NNP
20165	2328	11	]	]	-RRB-
20165	2328	12	.	.	.
20165	2329	1	T	T	NNP
20165	2329	2	Taddeo	Taddeo	NNP
20165	2329	3	Gaddi	Gaddi	NNP
20165	2329	4	,	,	,
20165	2329	5	5	5	CD
20165	2329	6	.	.	.
20165	2330	1	Terms	term	NNS
20165	2330	2	made	make	VBD
20165	2330	3	use	use	NN
20165	2330	4	of	of	IN
20165	2330	5	,	,	,
20165	2330	6	48	48	CD
20165	2330	7	[	[	-LRB-
20165	2330	8	XIII	XIII	NNP
20165	2330	9	]	]	-RRB-
20165	2330	10	.	.	.
20165	2331	1	Tiles	tile	NNS
20165	2331	2	,	,	,
20165	2331	3	176	176	CD
20165	2331	4	[	[	-LRB-
20165	2331	5	CXIII	CXIII	NNP
20165	2331	6	]	]	-RRB-
20165	2331	7	,	,	,
20165	2331	8	178	178	CD
20165	2331	9	[	[	-LRB-
20165	2331	10	CXV	CXV	NNP
20165	2331	11	]	]	-RRB-
20165	2331	12	,	,	,
20165	2331	13	181	181	CD
20165	2331	14	[	[	-LRB-
20165	2331	15	CXVI	CXVI	NNP
20165	2331	16	]	]	-RRB-
20165	2331	17	.	.	.
20165	2332	1	Tintoretto	Tintoretto	NNP
20165	2332	2	,	,	,
20165	2332	3	4	4	CD
20165	2332	4	.	.	.
20165	2333	1	Titian	Titian	NNP
20165	2333	2	,	,	,
20165	2333	3	59	59	CD
20165	2333	4	[	[	-LRB-
20165	2333	5	XX	XX	NNP
20165	2333	6	]	]	-RRB-
20165	2333	7	,	,	,
20165	2333	8	262	262	CD
20165	2333	9	[	[	-LRB-
20165	2333	10	CLXVII	CLXVII	NNP
20165	2333	11	]	]	-RRB-
20165	2333	12	.	.	.
20165	2334	1	Toledo	Toledo	NNP
20165	2334	2	,	,	,
20165	2334	3	96	96	CD
20165	2334	4	[	[	-LRB-
20165	2334	5	104	104	CD
20165	2334	6	]	]	-RRB-
20165	2334	7	,	,	,
20165	2334	8	144	144	CD
20165	2334	9	[	[	-LRB-
20165	2334	10	164	164	CD
20165	2334	11	]	]	-RRB-
20165	2334	12	,	,	,
20165	2334	13	259	259	CD
20165	2334	14	[	[	-LRB-
20165	2334	15	259	259	CD
20165	2334	16	]	]	-RRB-
20165	2334	17	,	,	,
20165	2334	18	288	288	CD
20165	2334	19	[	[	-LRB-
20165	2334	20	288	288	CD
20165	2334	21	]	]	-RRB-
20165	2334	22	.	.	.
20165	2335	1	Trace	trace	NN
20165	2335	2	and	and	CC
20165	2335	3	projection	projection	NN
20165	2335	4	,	,	,
20165	2335	5	21	21	CD
20165	2335	6	[	[	-LRB-
20165	2335	7	V	v	NN
20165	2335	8	]	]	-RRB-
20165	2335	9	.	.	.
20165	2336	1	Transposed	transpose	VBN
20165	2336	2	distance	distance	NN
20165	2336	3	,	,	,
20165	2336	4	53	53	CD
20165	2336	5	[	[	-LRB-
20165	2336	6	XVIII	xviii	NN
20165	2336	7	]	]	-RRB-
20165	2336	8	.	.	.
20165	2337	1	Triangles	triangle	NNS
20165	2337	2	,	,	,
20165	2337	3	104	104	CD
20165	2337	4	[	[	-LRB-
20165	2337	5	LV	LV	NNP
20165	2337	6	]	]	-RRB-
20165	2337	7	,	,	,
20165	2337	8	106	106	CD
20165	2337	9	[	[	-LRB-
20165	2337	10	LVII	LVII	NNP
20165	2337	11	]	]	-RRB-
20165	2337	12	,	,	,
20165	2337	13	132	132	CD
20165	2337	14	[	[	-LRB-
20165	2337	15	148	148	CD
20165	2337	16	]	]	-RRB-
20165	2337	17	,	,	,
20165	2337	18	135	135	CD
20165	2337	19	[	[	-LRB-
20165	2337	20	151	151	CD
20165	2337	21	]	]	-RRB-
20165	2337	22	,	,	,
20165	2337	23	138	138	CD
20165	2337	24	[	[	-LRB-
20165	2337	25	158	158	CD
20165	2337	26	]	]	-RRB-
20165	2337	27	.	.	.
20165	2338	1	Turner	Turner	NNP
20165	2338	2	,	,	,
20165	2338	3	2	2	CD
20165	2338	4	,	,	,
20165	2338	5	87	87	CD
20165	2338	6	[	[	-LRB-
20165	2338	7	95	95	CD
20165	2338	8	]	]	-RRB-
20165	2338	9	.	.	.
20165	2339	1	U	U	NNP
20165	2339	2	Ubaldus	Ubaldus	NNP
20165	2339	3	,	,	,
20165	2339	4	Guidus	Guidus	NNP
20165	2339	5	,	,	,
20165	2339	6	9	9	CD
20165	2339	7	.	.	.
20165	2340	1	V	V	NNP
20165	2340	2	Vanishing	vanish	VBG
20165	2340	3	lines	line	NNS
20165	2340	4	,	,	,
20165	2340	5	49	49	CD
20165	2340	6	[	[	-LRB-
20165	2340	7	XIV	XIV	NNP
20165	2340	8	]	]	-RRB-
20165	2340	9	.	.	.
20165	2340	10	"	"	''
20165	2341	1	point	point	NN
20165	2341	2	,	,	,
20165	2341	3	119	119	CD
20165	2341	4	[	[	-LRB-
20165	2341	5	LXVIII	LXVIII	NNP
20165	2341	6	]	]	-RRB-
20165	2341	7	.	.	.
20165	2341	8	"	"	''
20165	2342	1	scale	scale	NN
20165	2342	2	,	,	,
20165	2342	3	68	68	CD
20165	2342	4	[	[	-LRB-
20165	2342	5	XXV	XXV	NNP
20165	2342	6	]	]	-RRB-
20165	2342	7	-	-	:
20165	2342	8	72	72	CD
20165	2342	9	[	[	-LRB-
20165	2342	10	XXVIII	XXVIII	NNP
20165	2342	11	]	]	-RRB-
20165	2342	12	,	,	,
20165	2342	13	74	74	CD
20165	2342	14	[	[	-LRB-
20165	2342	15	XXX	XXX	NNP
20165	2342	16	]	]	-RRB-
20165	2342	17	,	,	,
20165	2342	18	77	77	CD
20165	2342	19	[	[	-LRB-
20165	2342	20	XXXII	XXXII	NNP
20165	2342	21	]	]	-RRB-
20165	2342	22	,	,	,
20165	2342	23	79	79	CD
20165	2342	24	[	[	-LRB-
20165	2342	25	XXXV	XXXV	NNP
20165	2342	26	]	]	-RRB-
20165	2342	27	,	,	,
20165	2342	28	84	84	CD
20165	2342	29	[	[	-LRB-
20165	2342	30	90	90	CD
20165	2342	31	]	]	-RRB-
20165	2342	32	.	.	.
20165	2343	1	Vaulted	Vaulted	NNP
20165	2343	2	Ceiling	Ceiling	NNP
20165	2343	3	,	,	,
20165	2343	4	203	203	CD
20165	2343	5	[	[	-LRB-
20165	2343	6	CXXX	CXXX	NNP
20165	2343	7	]	]	-RRB-
20165	2343	8	.	.	.
20165	2344	1	Velasquez	Velasquez	NNP
20165	2344	2	,	,	,
20165	2344	3	59	59	CD
20165	2344	4	[	[	-LRB-
20165	2344	5	XX	XX	NNP
20165	2344	6	]	]	-RRB-
20165	2344	7	.	.	.
20165	2345	1	Vertical	vertical	JJ
20165	2345	2	plane	plane	NN
20165	2345	3	,	,	,
20165	2345	4	13	13	CD
20165	2345	5	[	[	-LRB-
20165	2345	6	I	i	NN
20165	2345	7	]	]	-RRB-
20165	2345	8	.	.	.
20165	2346	1	Visual	visual	JJ
20165	2346	2	rays	ray	NNS
20165	2346	3	,	,	,
20165	2346	4	20	20	CD
20165	2346	5	[	[	-LRB-
20165	2346	6	IV	IV	NNP
20165	2346	7	]	]	-RRB-
20165	2346	8	.	.	.
20165	2347	1	W	W	NNP
20165	2347	2	Winding	Winding	NNP
20165	2347	3	Stairs	Stairs	NNPS
20165	2347	4	,	,	,
20165	2347	5	222	222	CD
20165	2347	6	[	[	-LRB-
20165	2347	7	CXLIV	CXLIV	NNP
20165	2347	8	]	]	-RRB-
20165	2347	9	-	-	:
20165	2347	10	225	225	CD
20165	2347	11	[	[	-LRB-
20165	2347	12	CXLV	CXLV	NNP
20165	2347	13	]	]	-RRB-
20165	2347	14	.	.	.
20165	2348	1	Water	water	NN
20165	2348	2	,	,	,
20165	2348	3	Reflections	Reflections	NNPS
20165	2348	4	in	in	IN
20165	2348	5	,	,	,
20165	2348	6	257	257	CD
20165	2348	7	[	[	-LRB-
20165	2348	8	CLXIV	CLXIV	NNP
20165	2348	9	]	]	-RRB-
20165	2348	10	,	,	,
20165	2348	11	258	258	CD
20165	2348	12	[	[	-LRB-
20165	2348	13	CLXV	CLXV	NNP
20165	2348	14	]	]	-RRB-
20165	2348	15	,	,	,
20165	2348	16	260	260	CD
20165	2348	17	[	[	-LRB-
20165	2348	18	CLXVI	CLXVI	NNP
20165	2348	19	]	]	-RRB-
20165	2348	20	,	,	,
20165	2348	21	261	261	CD
20165	2348	22	[	[	-LRB-
20165	2348	23	293	293	CD
20165	2348	24	]	]	-RRB-
20165	2348	25	.	.	.
20165	2349	1	*	*	NFP
20165	2349	2	*	*	NFP
20165	2349	3	*	*	NFP
20165	2349	4	*	*	NFP
20165	2349	5	*	*	NFP
20165	2349	6	Errors	Errors	NNPS
20165	2349	7	and	and	CC
20165	2349	8	Anomalies	Anomalies	NNPS
20165	2349	9	:	:	:
20165	2349	10	Missing	miss	VBG
20165	2349	11	punctuation	punctuation	NN
20165	2349	12	in	in	IN
20165	2349	13	the	the	DT
20165	2349	14	Index	Index	NNP
20165	2349	15	has	have	VBZ
20165	2349	16	been	be	VBN
20165	2349	17	silently	silently	RB
20165	2349	18	supplied	supply	VBN
20165	2349	19	.	.	.
20165	2350	1	The	the	DT
20165	2350	2	name	name	NN
20165	2350	3	form	form	NN
20165	2350	4	"	"	``
20165	2350	5	Albert	Albert	NNP
20165	2350	6	Dürer	Dürer	NNP
20165	2350	7	"	"	''
20165	2350	8	(	(	-LRB-
20165	2350	9	for	for	IN
20165	2350	10	Albrecht	Albrecht	NNP
20165	2350	11	)	)	-RRB-
20165	2350	12	is	be	VBZ
20165	2350	13	used	use	VBN
20165	2350	14	throughout	throughout	IN
20165	2350	15	.	.	.
20165	2351	1	In	in	IN
20165	2351	2	all	all	DT
20165	2351	3	references	reference	NNS
20165	2351	4	to	to	IN
20165	2351	5	Kirby	Kirby	NNP
20165	2351	6	,	,	,
20165	2351	7	_	_	NNP
20165	2351	8	Perspective	Perspective	NNP
20165	2351	9	made	make	VBD
20165	2351	10	Easy	Easy	NNP
20165	2351	11	_	_	NNP
20165	2351	12	(	(	-LRB-
20165	2351	13	?	?	.
20165	2352	1	)	)	-RRB-
20165	2352	2	,	,	,
20165	2352	3	the	the	DT
20165	2352	4	question	question	NN
20165	2352	5	mark	mark	NN
20165	2352	6	is	be	VBZ
20165	2352	7	in	in	IN
20165	2352	8	the	the	DT
20165	2352	9	original	original	JJ
20165	2352	10	text	text	NN
20165	2352	11	.	.	.
20165	2353	1	Figure	figure	NN
20165	2353	2	66	66	CD
20165	2353	3	:	:	:
20165	2353	4	_	_	NNP
20165	2353	5	Caption	Caption	NNP
20165	2353	6	missing	miss	VBG
20165	2353	7	,	,	,
20165	2353	8	but	but	CC
20165	2353	9	number	number	NN
20165	2353	10	is	be	VBZ
20165	2353	11	given	give	VBN
20165	2353	12	in	in	IN
20165	2353	13	text	text	NN
20165	2353	14	_	_	NNP
20165	2353	15	ground	ground	NN
20165	2353	16	plan	plan	NN
20165	2353	17	of	of	IN
20165	2353	18	the	the	DT
20165	2353	19	required	require	VBN
20165	2353	20	design	design	NN
20165	2353	21	,	,	,
20165	2353	22	as	as	IN
20165	2353	23	at	at	IN
20165	2353	24	Figs	Figs	NNP
20165	2353	25	.	.	.
20165	2354	1	73	73	CD
20165	2354	2	and	and	CC
20165	2354	3	74	74	CD
20165	2354	4	_	_	NNP
20165	2354	5	text	text	NN
20165	2354	6	reads	read	VBZ
20165	2354	7	"	"	``
20165	2354	8	Figs	fig	NNS
20165	2354	9	.	.	.
20165	2355	1	74	74	CD
20165	2355	2	and	and	CC
20165	2355	3	75	75	CD
20165	2355	4	"	"	``
20165	2355	5	_	_	NNP
20165	2355	6	CV	CV	NNP
20165	2355	7	[	[	-LRB-
20165	2355	8	Chapter	chapter	NN
20165	2355	9	head	head	NN
20165	2355	10	]	]	-RRB-
20165	2355	11	_	_	NNP
20165	2355	12	"	"	``
20165	2355	13	C	C	NNP
20165	2355	14	"	"	''
20165	2355	15	invisible	invisible	JJ
20165	2355	16	_	_	NNP
20165	2355	17	_	_	NNP
20165	2355	18	Index	Index	NNP
20165	2355	19	_	_	NNP
20165	2355	20	Dürer	Dürer	NNP
20165	2355	21	,	,	,
20165	2355	22	Albert	Albert	NNP
20165	2355	23	_	_	NNP
20165	2355	24	umlaut	umlaut	NN
20165	2355	25	missing	miss	VBG
20165	2355	26	_	_	NNP
20165	2355	27	Taddeo	Taddeo	NNP
20165	2355	28	Gaddi	Gaddi	NNP
20165	2355	29	_	_	NNP
20165	2355	30	text	text	NN
20165	2355	31	reads	read	VBZ
20165	2355	32	"	"	``
20165	2355	33	Tadeo	Tadeo	NNP
20165	2355	34	"	"	''
20165	2355	35	_	_	NNP
20165	2355	36	Titian	Titian	NNP
20165	2355	37	_	_	NNP
20165	2355	38	text	text	NN
20165	2355	39	reads	read	VBZ
20165	2355	40	Titien	Titien	NNP
20165	2355	41	_	_	NNP