id	sid	tid	token	lemma	pos
A67375	1	1	Cono	cono	JJ
A67375	1	2	-	-	HYPH
A67375	1	3	cuneus	cuneus	NNP
A67375	1	4	,	,	,
A67375	1	5	or	or	CC
A67375	1	6	,	,	,
A67375	1	7	The	the	DT
A67375	1	8	shipwright	shipwright	NN
A67375	1	9	's	's	POS
A67375	1	10	circular	circular	JJ
A67375	1	11	wedge	wedge	NN
A67375	1	12	that	that	WDT
A67375	1	13	is	be	VBZ
A67375	1	14	,	,	,
A67375	1	15	a	a	DT
A67375	1	16	body	body	NN
A67375	1	17	resembling	resemble	VBG
A67375	1	18	in	in	IN
A67375	1	19	part	part	NN
A67375	1	20	a	a	DT
A67375	1	21	conus	conus	NN
A67375	1	22	,	,	,
A67375	1	23	in	in	IN
A67375	1	24	part	part	NN
A67375	1	25	a	a	DT
A67375	1	26	cuneus	cuneus	NN
A67375	1	27	,	,	,
A67375	1	28	geometrically	geometrically	RB
A67375	1	29	considered	consider	VBN
A67375	1	30	/	/	SYM
A67375	1	31	by	by	IN
A67375	1	32	John	John	NNP
A67375	1	33	Wallis	Wallis	NNP
A67375	1	34	...	...	:
A67375	1	35	,	,	,
A67375	1	36	in	in	IN
A67375	1	37	a	a	DT
A67375	1	38	letter	letter	NN
A67375	1	39	to	to	IN
A67375	1	40	the	the	DT
A67375	1	41	honourable	honourable	JJ
A67375	1	42	Sir	Sir	NNP
A67375	1	43	Robert	Robert	NNP
A67375	1	44	Moray	Moray	NNP
A67375	1	45	...	...	:
A67375	1	46	Wallis	Wallis	NNP
A67375	1	47	,	,	,
A67375	1	48	John	John	NNP
A67375	1	49	,	,	,
A67375	1	50	1616	1616	CD
A67375	1	51	-	-	SYM
A67375	1	52	1703	1703	CD
A67375	1	53	.	.	.
A67375	2	1	1684	1684	CD
A67375	2	2	Approx	Approx	NNP
A67375	2	3	.	.	.
A67375	3	1	68	68	CD
A67375	3	2	KB	kb	NN
A67375	3	3	of	of	IN
A67375	3	4	XML	xml	NN
A67375	3	5	-	-	HYPH
A67375	3	6	encoded	encode	VBN
A67375	3	7	text	text	NN
A67375	3	8	transcribed	transcribe	VBN
A67375	3	9	from	from	IN
A67375	3	10	18	18	CD
A67375	3	11	1-bit	1-bit	CD
A67375	3	12	group	group	NN
A67375	3	13	-	-	HYPH
A67375	3	14	IV	IV	NNP
A67375	3	15	TIFF	TIFF	NNP
A67375	3	16	page	page	NN
A67375	3	17	images	image	NNS
A67375	3	18	.	.	.
A67375	4	1	Text	Text	NNP
A67375	4	2	Creation	Creation	NNP
A67375	4	3	Partnership	Partnership	NNP
A67375	4	4	,	,	,
A67375	4	5	Ann	Ann	NNP
A67375	4	6	Arbor	Arbor	NNP
A67375	4	7	,	,	,
A67375	4	8	MI	MI	NNP
A67375	4	9	;	;	:
A67375	4	10	Oxford	Oxford	NNP
A67375	4	11	(	(	-LRB-
A67375	4	12	UK	UK	NNP
A67375	4	13	)	)	-RRB-
A67375	4	14	:	:	:
A67375	4	15	2004	2004	CD
A67375	4	16	-	-	SYM
A67375	4	17	08	08	CD
A67375	4	18	(	(	-LRB-
A67375	4	19	EEBO	eebo	NN
A67375	4	20	-	-	HYPH
A67375	4	21	TCP	TCP	NNP
A67375	4	22	Phase	Phase	NNP
A67375	4	23	1	1	CD
A67375	4	24	)	)	-RRB-
A67375	4	25	.	.	.
A67375	5	1	A67375	A67375	NNP
A67375	5	2	Wing	Wing	NNP
A67375	5	3	W565	W565	NNP
A67375	5	4	ESTC	ESTC	NNP
A67375	5	5	R34709	R34709	NNP
A67375	5	6	14574137	14574137	CD
A67375	5	7	ocm	ocm	NN
A67375	5	8	14574137	14574137	CD
A67375	5	9	102624	102624	CD
A67375	5	10	This	this	DT
A67375	5	11	keyboarded	keyboarded	JJ
A67375	5	12	and	and	CC
A67375	5	13	encoded	encode	VBD
A67375	5	14	edition	edition	NN
A67375	5	15	of	of	IN
A67375	5	16	the	the	DT
A67375	5	17	work	work	NN
A67375	5	18	described	describe	VBN
A67375	5	19	above	above	RB
A67375	5	20	is	be	VBZ
A67375	5	21	co	co	VBN
A67375	5	22	-	-	VBN
A67375	5	23	owned	own	VBN
A67375	5	24	by	by	IN
A67375	5	25	the	the	DT
A67375	5	26	institutions	institution	NNS
A67375	5	27	providing	provide	VBG
A67375	5	28	financial	financial	JJ
A67375	5	29	support	support	NN
A67375	5	30	to	to	IN
A67375	5	31	the	the	DT
A67375	5	32	Early	early	JJ
A67375	5	33	English	English	NNP
A67375	5	34	Books	Books	NNPS
A67375	5	35	Online	Online	NNP
A67375	5	36	Text	Text	NNP
A67375	5	37	Creation	Creation	NNP
A67375	5	38	Partnership	Partnership	NNP
A67375	5	39	.	.	.
A67375	6	1	This	this	DT
A67375	6	2	Phase	Phase	NNP
A67375	6	3	I	-PRON-	PRP
A67375	6	4	text	text	NN
A67375	6	5	is	be	VBZ
A67375	6	6	available	available	JJ
A67375	6	7	for	for	IN
A67375	6	8	reuse	reuse	NN
A67375	6	9	,	,	,
A67375	6	10	according	accord	VBG
A67375	6	11	to	to	IN
A67375	6	12	the	the	DT
A67375	6	13	terms	term	NNS
A67375	6	14	of	of	IN
A67375	6	15	Creative	Creative	NNP
A67375	6	16	Commons	Commons	NNPS
A67375	6	17	0	0	CD
A67375	6	18	1.0	1.0	CD
A67375	6	19	Universal	Universal	NNP
A67375	6	20	.	.	.
A67375	7	1	The	the	DT
A67375	7	2	text	text	NN
A67375	7	3	can	can	MD
A67375	7	4	be	be	VB
A67375	7	5	copied	copy	VBN
A67375	7	6	,	,	,
A67375	7	7	modified	modify	VBN
A67375	7	8	,	,	,
A67375	7	9	distributed	distribute	VBN
A67375	7	10	and	and	CC
A67375	7	11	performed	perform	VBN
A67375	7	12	,	,	,
A67375	7	13	even	even	RB
A67375	7	14	for	for	IN
A67375	7	15	commercial	commercial	JJ
A67375	7	16	purposes	purpose	NNS
A67375	7	17	,	,	,
A67375	7	18	all	all	DT
A67375	7	19	without	without	IN
A67375	7	20	asking	ask	VBG
A67375	7	21	permission	permission	NN
A67375	7	22	.	.	.
A67375	8	1	Early	early	JJ
A67375	8	2	English	english	JJ
A67375	8	3	books	book	NNS
A67375	8	4	online	online	RB
A67375	8	5	.	.	.
A67375	9	1	(	(	-LRB-
A67375	9	2	EEBO	eebo	NN
A67375	9	3	-	-	HYPH
A67375	9	4	TCP	TCP	NNP
A67375	9	5	;	;	:
A67375	9	6	phase	phase	NN
A67375	9	7	1	1	CD
A67375	9	8	,	,	,
A67375	9	9	no	no	UH
A67375	9	10	.	.	.
A67375	10	1	A67375	A67375	NNP
A67375	10	2	)	)	-RRB-
A67375	10	3	Transcribed	Transcribed	NNP
A67375	10	4	from	from	IN
A67375	10	5	:	:	:
A67375	10	6	(	(	-LRB-
A67375	10	7	Early	early	JJ
A67375	10	8	English	english	JJ
A67375	10	9	Books	book	NNS
A67375	10	10	Online	online	RB
A67375	10	11	;	;	,
A67375	10	12	image	image	NN
A67375	10	13	set	set	VBD
A67375	10	14	102624	102624	CD
A67375	10	15	)	)	-RRB-
A67375	10	16	Images	image	NNS
A67375	10	17	scanned	scan	VBN
A67375	10	18	from	from	IN
A67375	10	19	microfilm	microfilm	NN
A67375	10	20	:	:	:
A67375	10	21	(	(	-LRB-
A67375	10	22	Early	early	JJ
A67375	10	23	English	english	JJ
A67375	10	24	books	book	NNS
A67375	10	25	,	,	,
A67375	10	26	1641	1641	CD
A67375	10	27	-	-	SYM
A67375	10	28	1700	1700	CD
A67375	10	29	;	;	:
A67375	10	30	1079:8	1079:8	CD
A67375	10	31	)	)	-RRB-
A67375	10	32	Cono	cono	NN
A67375	10	33	-	-	HYPH
A67375	10	34	cuneus	cuneus	NNP
A67375	10	35	,	,	,
A67375	10	36	or	or	CC
A67375	10	37	,	,	,
A67375	10	38	The	the	DT
A67375	10	39	shipwright	shipwright	NN
A67375	10	40	's	's	POS
A67375	10	41	circular	circular	JJ
A67375	10	42	wedge	wedge	NN
A67375	10	43	that	that	WDT
A67375	10	44	is	be	VBZ
A67375	10	45	,	,	,
A67375	10	46	a	a	DT
A67375	10	47	body	body	NN
A67375	10	48	resembling	resemble	VBG
A67375	10	49	in	in	IN
A67375	10	50	part	part	NN
A67375	10	51	a	a	DT
A67375	10	52	conus	conus	NN
A67375	10	53	,	,	,
A67375	10	54	in	in	IN
A67375	10	55	part	part	NN
A67375	10	56	a	a	DT
A67375	10	57	cuneus	cuneus	NN
A67375	10	58	,	,	,
A67375	10	59	geometrically	geometrically	RB
A67375	10	60	considered	consider	VBN
A67375	10	61	/	/	SYM
A67375	10	62	by	by	IN
A67375	10	63	John	John	NNP
A67375	10	64	Wallis	Wallis	NNP
A67375	10	65	...	...	:
A67375	10	66	,	,	,
A67375	10	67	in	in	IN
A67375	10	68	a	a	DT
A67375	10	69	letter	letter	NN
A67375	10	70	to	to	IN
A67375	10	71	the	the	DT
A67375	10	72	honourable	honourable	JJ
A67375	10	73	Sir	Sir	NNP
A67375	10	74	Robert	Robert	NNP
A67375	10	75	Moray	Moray	NNP
A67375	10	76	...	...	:
A67375	10	77	Wallis	Wallis	NNP
A67375	10	78	,	,	,
A67375	10	79	John	John	NNP
A67375	10	80	,	,	,
A67375	10	81	1616	1616	CD
A67375	10	82	-	-	SYM
A67375	10	83	1703	1703	CD
A67375	10	84	.	.	.
A67375	11	1	[	[	-LRB-
A67375	11	2	4	4	CD
A67375	11	3	]	]	-RRB-
A67375	11	4	,	,	,
A67375	11	5	17	17	CD
A67375	11	6	p.	p.	NN
A67375	11	7	,	,	,
A67375	11	8	[	[	-LRB-
A67375	11	9	6	6	CD
A67375	11	10	]	]	-RRB-
A67375	11	11	leaves	leave	NNS
A67375	11	12	of	of	IN
A67375	11	13	plates	plate	NNS
A67375	11	14	:	:	:
A67375	11	15	ill	ill	NNP
A67375	11	16	.	.	.
A67375	12	1	Printed	print	VBN
A67375	12	2	by	by	IN
A67375	12	3	John	John	NNP
A67375	12	4	Playford	Playford	NNP
A67375	12	5	for	for	IN
A67375	12	6	Richard	Richard	NNP
A67375	12	7	Davis	Davis	NNP
A67375	12	8	...	...	NFP
A67375	12	9	,	,	,
A67375	12	10	London	London	NNP
A67375	12	11	:	:	:
A67375	12	12	1684	1684	CD
A67375	12	13	.	.	.
A67375	13	1	This	this	DT
A67375	13	2	item	item	NN
A67375	13	3	also	also	RB
A67375	13	4	apears	apear	VBZ
A67375	13	5	at	at	IN
A67375	13	6	reel	reel	NNP
A67375	13	7	854:14	854:14	NNP
A67375	13	8	as	as	IN
A67375	13	9	part	part	NN
A67375	13	10	of	of	IN
A67375	13	11	Wing	Wing	NNP
A67375	13	12	W613	W613	NNP
A67375	13	13	:	:	:
A67375	13	14	A	a	DT
A67375	13	15	treatise	treatise	NN
A67375	13	16	of	of	IN
A67375	13	17	algebra	algebra	NN
A67375	13	18	.	.	.
A67375	14	1	London	London	NNP
A67375	14	2	,	,	,
A67375	14	3	1685	1685	CD
A67375	14	4	.	.	.
A67375	15	1	Reproduction	reproduction	NN
A67375	15	2	of	of	IN
A67375	15	3	original	original	NN
A67375	15	4	in	in	IN
A67375	15	5	the	the	DT
A67375	15	6	Huntington	Huntington	NNP
A67375	15	7	Library	Library	NNP
A67375	15	8	.	.	.
A67375	16	1	Created	create	VBN
A67375	16	2	by	by	IN
A67375	16	3	converting	convert	VBG
A67375	16	4	TCP	TCP	NNP
A67375	16	5	files	file	NNS
A67375	16	6	to	to	IN
A67375	16	7	TEI	TEI	NNP
A67375	16	8	P5	P5	NNP
A67375	16	9	using	use	VBG
A67375	16	10	tcp2tei.xsl	tcp2tei.xsl	NN
A67375	16	11	,	,	,
A67375	16	12	TEI	TEI	NNP
A67375	16	13	@	@	CC
A67375	16	14	Oxford	Oxford	NNP
A67375	16	15	.	.	.
A67375	17	1	Re	Re	NNS
A67375	17	2	-	-	VBN
A67375	17	3	processed	process	VBN
A67375	17	4	by	by	IN
A67375	17	5	University	University	NNP
A67375	17	6	of	of	IN
A67375	17	7	Nebraska	Nebraska	NNP
A67375	17	8	-	-	HYPH
A67375	17	9	Lincoln	Lincoln	NNP
A67375	17	10	and	and	CC
A67375	17	11	Northwestern	Northwestern	NNP
A67375	17	12	,	,	,
A67375	17	13	with	with	IN
A67375	17	14	changes	change	NNS
A67375	17	15	to	to	TO
A67375	17	16	facilitate	facilitate	VB
A67375	17	17	morpho	morpho	NN
A67375	17	18	-	-	HYPH
A67375	17	19	syntactic	syntactic	JJ
A67375	17	20	tagging	tagging	NN
A67375	17	21	.	.	.
A67375	18	1	Gap	Gap	NNP
A67375	18	2	elements	element	NNS
A67375	18	3	of	of	IN
A67375	18	4	known	know	VBN
A67375	18	5	extent	extent	NN
A67375	18	6	have	have	VBP
A67375	18	7	been	be	VBN
A67375	18	8	transformed	transform	VBN
A67375	18	9	into	into	IN
A67375	18	10	placeholder	placeholder	NN
A67375	18	11	characters	character	NNS
A67375	18	12	or	or	CC
A67375	18	13	elements	element	NNS
A67375	18	14	to	to	TO
A67375	18	15	simplify	simplify	VB
A67375	18	16	the	the	DT
A67375	18	17	filling	filling	NN
A67375	18	18	in	in	RP
A67375	18	19	of	of	IN
A67375	18	20	gaps	gap	NNS
A67375	18	21	by	by	IN
A67375	18	22	user	user	NN
A67375	18	23	contributors	contributor	NNS
A67375	18	24	.	.	.
A67375	19	1	EEBO	EEBO	NNP
A67375	19	2	-	-	HYPH
A67375	19	3	TCP	TCP	NNP
A67375	19	4	is	be	VBZ
A67375	19	5	a	a	DT
A67375	19	6	partnership	partnership	NN
A67375	19	7	between	between	IN
A67375	19	8	the	the	DT
A67375	19	9	Universities	Universities	NNPS
A67375	19	10	of	of	IN
A67375	19	11	Michigan	Michigan	NNP
A67375	19	12	and	and	CC
A67375	19	13	Oxford	Oxford	NNP
A67375	19	14	and	and	CC
A67375	19	15	the	the	DT
A67375	19	16	publisher	publisher	NN
A67375	19	17	ProQuest	ProQuest	NNP
A67375	19	18	to	to	TO
A67375	19	19	create	create	VB
A67375	19	20	accurately	accurately	RB
A67375	19	21	transcribed	transcribe	VBN
A67375	19	22	and	and	CC
A67375	19	23	encoded	encode	VBN
A67375	19	24	texts	text	NNS
A67375	19	25	based	base	VBN
A67375	19	26	on	on	IN
A67375	19	27	the	the	DT
A67375	19	28	image	image	NN
A67375	19	29	sets	set	NNS
A67375	19	30	published	publish	VBN
A67375	19	31	by	by	IN
A67375	19	32	ProQuest	ProQuest	NNP
A67375	19	33	via	via	IN
A67375	19	34	their	-PRON-	PRP$
A67375	19	35	Early	early	JJ
A67375	19	36	English	english	JJ
A67375	19	37	Books	book	NNS
A67375	19	38	Online	Online	NNP
A67375	19	39	(	(	-LRB-
A67375	19	40	EEBO	EEBO	NNP
A67375	19	41	)	)	-RRB-
A67375	19	42	database	database	NN
A67375	19	43	(	(	-LRB-
A67375	19	44	http://eebo.chadwyck.com	http://eebo.chadwyck.com	ADD
A67375	19	45	)	)	-RRB-
A67375	19	46	.	.	.
A67375	20	1	The	the	DT
A67375	20	2	general	general	JJ
A67375	20	3	aim	aim	NN
A67375	20	4	of	of	IN
A67375	20	5	EEBO	eebo	NN
A67375	20	6	-	-	HYPH
A67375	20	7	TCP	TCP	NNP
A67375	20	8	is	be	VBZ
A67375	20	9	to	to	TO
A67375	20	10	encode	encode	VB
A67375	20	11	one	one	CD
A67375	20	12	copy	copy	NN
A67375	20	13	(	(	-LRB-
A67375	20	14	usually	usually	RB
A67375	20	15	the	the	DT
A67375	20	16	first	first	JJ
A67375	20	17	edition	edition	NN
A67375	20	18	)	)	-RRB-
A67375	20	19	of	of	IN
A67375	20	20	every	every	DT
A67375	20	21	monographic	monographic	JJ
A67375	20	22	English	English	NNP
A67375	20	23	-	-	HYPH
A67375	20	24	language	language	NN
A67375	20	25	title	title	NN
A67375	20	26	published	publish	VBN
A67375	20	27	between	between	IN
A67375	20	28	1473	1473	CD
A67375	20	29	and	and	CC
A67375	20	30	1700	1700	CD
A67375	20	31	available	available	JJ
A67375	20	32	in	in	IN
A67375	20	33	EEBO	EEBO	NNP
A67375	20	34	.	.	.
A67375	21	1	EEBO	EEBO	NNP
A67375	21	2	-	-	HYPH
A67375	21	3	TCP	TCP	NNP
A67375	21	4	aimed	aim	VBN
A67375	21	5	to	to	TO
A67375	21	6	produce	produce	VB
A67375	21	7	large	large	JJ
A67375	21	8	quantities	quantity	NNS
A67375	21	9	of	of	IN
A67375	21	10	textual	textual	JJ
A67375	21	11	data	datum	NNS
A67375	21	12	within	within	IN
A67375	21	13	the	the	DT
A67375	21	14	usual	usual	JJ
A67375	21	15	project	project	NN
A67375	21	16	restraints	restraint	NNS
A67375	21	17	of	of	IN
A67375	21	18	time	time	NN
A67375	21	19	and	and	CC
A67375	21	20	funding	funding	NN
A67375	21	21	,	,	,
A67375	21	22	and	and	CC
A67375	21	23	therefore	therefore	RB
A67375	21	24	chose	choose	VBD
A67375	21	25	to	to	TO
A67375	21	26	create	create	VB
A67375	21	27	diplomatic	diplomatic	JJ
A67375	21	28	transcriptions	transcription	NNS
A67375	21	29	(	(	-LRB-
A67375	21	30	as	as	IN
A67375	21	31	opposed	oppose	VBN
A67375	21	32	to	to	IN
A67375	21	33	critical	critical	JJ
A67375	21	34	editions	edition	NNS
A67375	21	35	)	)	-RRB-
A67375	21	36	with	with	IN
A67375	21	37	light	light	JJ
A67375	21	38	-	-	HYPH
A67375	21	39	touch	touch	NN
A67375	21	40	,	,	,
A67375	21	41	mainly	mainly	RB
A67375	21	42	structural	structural	JJ
A67375	21	43	encoding	encoding	NN
A67375	21	44	based	base	VBN
A67375	21	45	on	on	IN
A67375	21	46	the	the	DT
A67375	21	47	Text	Text	NNP
A67375	21	48	Encoding	Encoding	NNP
A67375	21	49	Initiative	Initiative	NNP
A67375	21	50	(	(	-LRB-
A67375	21	51	http://www.tei-c.org	http://www.tei-c.org	NFP
A67375	21	52	)	)	-RRB-
A67375	21	53	.	.	.
A67375	22	1	The	the	DT
A67375	22	2	EEBO	EEBO	NNP
A67375	22	3	-	-	HYPH
A67375	22	4	TCP	TCP	NNP
A67375	22	5	project	project	NN
A67375	22	6	was	be	VBD
A67375	22	7	divided	divide	VBN
A67375	22	8	into	into	IN
A67375	22	9	two	two	CD
A67375	22	10	phases	phase	NNS
A67375	22	11	.	.	.
A67375	23	1	The	the	DT
A67375	23	2	25,363	25,363	CD
A67375	23	3	texts	text	NNS
A67375	23	4	created	create	VBN
A67375	23	5	during	during	IN
A67375	23	6	Phase	Phase	NNP
A67375	23	7	1	1	CD
A67375	23	8	of	of	IN
A67375	23	9	the	the	DT
A67375	23	10	project	project	NN
A67375	23	11	have	have	VBP
A67375	23	12	been	be	VBN
A67375	23	13	released	release	VBN
A67375	23	14	into	into	IN
A67375	23	15	the	the	DT
A67375	23	16	public	public	JJ
A67375	23	17	domain	domain	NN
A67375	23	18	as	as	IN
A67375	23	19	of	of	IN
A67375	23	20	1	1	CD
A67375	23	21	January	January	NNP
A67375	23	22	2015	2015	CD
A67375	23	23	.	.	.
A67375	24	1	Anyone	anyone	NN
A67375	24	2	can	can	MD
A67375	24	3	now	now	RB
A67375	24	4	take	take	VB
A67375	24	5	and	and	CC
A67375	24	6	use	use	VB
A67375	24	7	these	these	DT
A67375	24	8	texts	text	NNS
A67375	24	9	for	for	IN
A67375	24	10	their	-PRON-	PRP$
A67375	24	11	own	own	JJ
A67375	24	12	purposes	purpose	NNS
A67375	24	13	,	,	,
A67375	24	14	but	but	CC
A67375	24	15	we	-PRON-	PRP
A67375	24	16	respectfully	respectfully	RB
A67375	24	17	request	request	VBP
A67375	24	18	that	that	DT
A67375	24	19	due	due	JJ
A67375	24	20	credit	credit	NN
A67375	24	21	and	and	CC
A67375	24	22	attribution	attribution	NN
A67375	24	23	is	be	VBZ
A67375	24	24	given	give	VBN
A67375	24	25	to	to	IN
A67375	24	26	their	-PRON-	PRP$
A67375	24	27	original	original	JJ
A67375	24	28	source	source	NN
A67375	24	29	.	.	.
A67375	25	1	Users	user	NNS
A67375	25	2	should	should	MD
A67375	25	3	be	be	VB
A67375	25	4	aware	aware	JJ
A67375	25	5	of	of	IN
A67375	25	6	the	the	DT
A67375	25	7	process	process	NN
A67375	25	8	of	of	IN
A67375	25	9	creating	create	VBG
A67375	25	10	the	the	DT
A67375	25	11	TCP	TCP	NNP
A67375	25	12	texts	text	NNS
A67375	25	13	,	,	,
A67375	25	14	and	and	CC
A67375	25	15	therefore	therefore	RB
A67375	25	16	of	of	IN
A67375	25	17	any	any	DT
A67375	25	18	assumptions	assumption	NNS
A67375	25	19	that	that	WDT
A67375	25	20	can	can	MD
A67375	25	21	be	be	VB
A67375	25	22	made	make	VBN
A67375	25	23	about	about	IN
A67375	25	24	the	the	DT
A67375	25	25	data	datum	NNS
A67375	25	26	.	.	.
A67375	26	1	Text	text	NN
A67375	26	2	selection	selection	NN
A67375	26	3	was	be	VBD
A67375	26	4	based	base	VBN
A67375	26	5	on	on	IN
A67375	26	6	the	the	DT
A67375	26	7	New	New	NNP
A67375	26	8	Cambridge	Cambridge	NNP
A67375	26	9	Bibliography	Bibliography	NNP
A67375	26	10	of	of	IN
A67375	26	11	English	English	NNP
A67375	26	12	Literature	Literature	NNP
A67375	26	13	(	(	-LRB-
A67375	26	14	NCBEL	NCBEL	NNP
A67375	26	15	)	)	-RRB-
A67375	26	16	.	.	.
A67375	27	1	If	if	IN
A67375	27	2	an	an	DT
A67375	27	3	author	author	NN
A67375	27	4	(	(	-LRB-
A67375	27	5	or	or	CC
A67375	27	6	for	for	IN
A67375	27	7	an	an	DT
A67375	27	8	anonymous	anonymous	JJ
A67375	27	9	work	work	NN
A67375	27	10	,	,	,
A67375	27	11	the	the	DT
A67375	27	12	title	title	NN
A67375	27	13	)	)	-RRB-
A67375	27	14	appears	appear	VBZ
A67375	27	15	in	in	IN
A67375	27	16	NCBEL	NCBEL	NNP
A67375	27	17	,	,	,
A67375	27	18	then	then	RB
A67375	27	19	their	-PRON-	PRP$
A67375	27	20	works	work	NNS
A67375	27	21	are	be	VBP
A67375	27	22	eligible	eligible	JJ
A67375	27	23	for	for	IN
A67375	27	24	inclusion	inclusion	NN
A67375	27	25	.	.	.
A67375	28	1	Selection	selection	NN
A67375	28	2	was	be	VBD
A67375	28	3	intended	intend	VBN
A67375	28	4	to	to	TO
A67375	28	5	range	range	VB
A67375	28	6	over	over	RP
A67375	28	7	a	a	DT
A67375	28	8	wide	wide	JJ
A67375	28	9	variety	variety	NN
A67375	28	10	of	of	IN
A67375	28	11	subject	subject	JJ
A67375	28	12	areas	area	NNS
A67375	28	13	,	,	,
A67375	28	14	to	to	TO
A67375	28	15	reflect	reflect	VB
A67375	28	16	the	the	DT
A67375	28	17	true	true	JJ
A67375	28	18	nature	nature	NN
A67375	28	19	of	of	IN
A67375	28	20	the	the	DT
A67375	28	21	print	print	NN
A67375	28	22	record	record	NN
A67375	28	23	of	of	IN
A67375	28	24	the	the	DT
A67375	28	25	period	period	NN
A67375	28	26	.	.	.
A67375	29	1	In	in	IN
A67375	29	2	general	general	JJ
A67375	29	3	,	,	,
A67375	29	4	first	first	JJ
A67375	29	5	editions	edition	NNS
A67375	29	6	of	of	IN
A67375	29	7	a	a	DT
A67375	29	8	works	work	NNS
A67375	29	9	in	in	IN
A67375	29	10	English	English	NNP
A67375	29	11	were	be	VBD
A67375	29	12	prioritized	prioritize	VBN
A67375	29	13	,	,	,
A67375	29	14	although	although	IN
A67375	29	15	there	there	EX
A67375	29	16	are	be	VBP
A67375	29	17	a	a	DT
A67375	29	18	number	number	NN
A67375	29	19	of	of	IN
A67375	29	20	works	work	NNS
A67375	29	21	in	in	IN
A67375	29	22	other	other	JJ
A67375	29	23	languages	language	NNS
A67375	29	24	,	,	,
A67375	29	25	notably	notably	RB
A67375	29	26	Latin	Latin	NNP
A67375	29	27	and	and	CC
A67375	29	28	Welsh	Welsh	NNP
A67375	29	29	,	,	,
A67375	29	30	included	include	VBD
A67375	29	31	and	and	CC
A67375	29	32	sometimes	sometimes	RB
A67375	29	33	a	a	DT
A67375	29	34	second	second	JJ
A67375	29	35	or	or	CC
A67375	29	36	later	later	JJ
A67375	29	37	edition	edition	NN
A67375	29	38	of	of	IN
A67375	29	39	a	a	DT
A67375	29	40	work	work	NN
A67375	29	41	was	be	VBD
A67375	29	42	chosen	choose	VBN
A67375	29	43	if	if	IN
A67375	29	44	there	there	EX
A67375	29	45	was	be	VBD
A67375	29	46	a	a	DT
A67375	29	47	compelling	compelling	JJ
A67375	29	48	reason	reason	NN
A67375	29	49	to	to	TO
A67375	29	50	do	do	VB
A67375	29	51	so	so	RB
A67375	29	52	.	.	.
A67375	30	1	Image	image	NN
A67375	30	2	sets	set	NNS
A67375	30	3	were	be	VBD
A67375	30	4	sent	send	VBN
A67375	30	5	to	to	IN
A67375	30	6	external	external	JJ
A67375	30	7	keying	keying	NN
A67375	30	8	companies	company	NNS
A67375	30	9	for	for	IN
A67375	30	10	transcription	transcription	NN
A67375	30	11	and	and	CC
A67375	30	12	basic	basic	JJ
A67375	30	13	encoding	encoding	NN
A67375	30	14	.	.	.
A67375	31	1	Quality	quality	JJ
A67375	31	2	assurance	assurance	NN
A67375	31	3	was	be	VBD
A67375	31	4	then	then	RB
A67375	31	5	carried	carry	VBN
A67375	31	6	out	out	RP
A67375	31	7	by	by	IN
A67375	31	8	editorial	editorial	JJ
A67375	31	9	teams	team	NNS
A67375	31	10	in	in	IN
A67375	31	11	Oxford	Oxford	NNP
A67375	31	12	and	and	CC
A67375	31	13	Michigan	Michigan	NNP
A67375	31	14	.	.	.
A67375	32	1	5	5	CD
A67375	32	2	%	%	NN
A67375	32	3	(	(	-LRB-
A67375	32	4	or	or	CC
A67375	32	5	5	5	CD
A67375	32	6	pages	page	NNS
A67375	32	7	,	,	,
A67375	32	8	whichever	whichever	WDT
A67375	32	9	is	be	VBZ
A67375	32	10	the	the	DT
A67375	32	11	greater	great	JJR
A67375	32	12	)	)	-RRB-
A67375	32	13	of	of	IN
A67375	32	14	each	each	DT
A67375	32	15	text	text	NN
A67375	32	16	was	be	VBD
A67375	32	17	proofread	proofread	NN
A67375	32	18	for	for	IN
A67375	32	19	accuracy	accuracy	NN
A67375	32	20	and	and	CC
A67375	32	21	those	those	DT
A67375	32	22	which	which	WDT
A67375	32	23	did	do	VBD
A67375	32	24	not	not	RB
A67375	32	25	meet	meet	VB
A67375	32	26	QA	qa	NN
A67375	32	27	standards	standard	NNS
A67375	32	28	were	be	VBD
A67375	32	29	returned	return	VBN
A67375	32	30	to	to	IN
A67375	32	31	the	the	DT
A67375	32	32	keyers	keyer	NNS
A67375	32	33	to	to	TO
A67375	32	34	be	be	VB
A67375	32	35	redone	redone	NN
A67375	32	36	.	.	.
A67375	33	1	After	after	IN
A67375	33	2	proofreading	proofreading	NN
A67375	33	3	,	,	,
A67375	33	4	the	the	DT
A67375	33	5	encoding	encoding	NN
A67375	33	6	was	be	VBD
A67375	33	7	enhanced	enhance	VBN
A67375	33	8	and/or	and/or	CC
A67375	33	9	corrected	correct	VBD
A67375	33	10	and	and	CC
A67375	33	11	characters	character	NNS
A67375	33	12	marked	mark	VBN
A67375	33	13	as	as	IN
A67375	33	14	illegible	illegible	JJ
A67375	33	15	were	be	VBD
A67375	33	16	corrected	correct	VBN
A67375	33	17	where	where	WRB
A67375	33	18	possible	possible	JJ
A67375	33	19	up	up	IN
A67375	33	20	to	to	IN
A67375	33	21	a	a	DT
A67375	33	22	limit	limit	NN
A67375	33	23	of	of	IN
A67375	33	24	100	100	CD
A67375	33	25	instances	instance	NNS
A67375	33	26	per	per	IN
A67375	33	27	text	text	NN
A67375	33	28	.	.	.
A67375	34	1	Any	any	DT
A67375	34	2	remaining	remain	VBG
A67375	34	3	illegibles	illegible	NNS
A67375	34	4	were	be	VBD
A67375	34	5	encoded	encode	VBN
A67375	34	6	as	as	IN
A67375	34	7	<	<	XX
A67375	34	8	gap	gap	NN
A67375	34	9	>	>	XX
A67375	34	10	s	s	XX
A67375	34	11	.	.	.
A67375	35	1	Understanding	understand	VBG
A67375	35	2	these	these	DT
A67375	35	3	processes	process	NNS
A67375	35	4	should	should	MD
A67375	35	5	make	make	VB
A67375	35	6	clear	clear	JJ
A67375	35	7	that	that	IN
A67375	35	8	,	,	,
A67375	35	9	while	while	IN
A67375	35	10	the	the	DT
A67375	35	11	overall	overall	JJ
A67375	35	12	quality	quality	NN
A67375	35	13	of	of	IN
A67375	35	14	TCP	TCP	NNP
A67375	35	15	data	datum	NNS
A67375	35	16	is	be	VBZ
A67375	35	17	very	very	RB
A67375	35	18	good	good	JJ
A67375	35	19	,	,	,
A67375	35	20	some	some	DT
A67375	35	21	errors	error	NNS
A67375	35	22	will	will	MD
A67375	35	23	remain	remain	VB
A67375	35	24	and	and	CC
A67375	35	25	some	some	DT
A67375	35	26	readable	readable	JJ
A67375	35	27	characters	character	NNS
A67375	35	28	will	will	MD
A67375	35	29	be	be	VB
A67375	35	30	marked	mark	VBN
A67375	35	31	as	as	IN
A67375	35	32	illegible	illegible	JJ
A67375	35	33	.	.	.
A67375	36	1	Users	user	NNS
A67375	36	2	should	should	MD
A67375	36	3	bear	bear	VB
A67375	36	4	in	in	IN
A67375	36	5	mind	mind	NN
A67375	36	6	that	that	IN
A67375	36	7	in	in	IN
A67375	36	8	all	all	DT
A67375	36	9	likelihood	likelihood	NN
A67375	36	10	such	such	JJ
A67375	36	11	instances	instance	NNS
A67375	36	12	will	will	MD
A67375	36	13	never	never	RB
A67375	36	14	have	have	VB
A67375	36	15	been	be	VBN
A67375	36	16	looked	look	VBN
A67375	36	17	at	at	IN
A67375	36	18	by	by	IN
A67375	36	19	a	a	DT
A67375	36	20	TCP	TCP	NNP
A67375	36	21	editor	editor	NN
A67375	36	22	.	.	.
A67375	37	1	The	the	DT
A67375	37	2	texts	text	NNS
A67375	37	3	were	be	VBD
A67375	37	4	encoded	encode	VBN
A67375	37	5	and	and	CC
A67375	37	6	linked	link	VBN
A67375	37	7	to	to	IN
A67375	37	8	page	page	NN
A67375	37	9	images	image	NNS
A67375	37	10	in	in	IN
A67375	37	11	accordance	accordance	NN
A67375	37	12	with	with	IN
A67375	37	13	level	level	NN
A67375	37	14	4	4	CD
A67375	37	15	of	of	IN
A67375	37	16	the	the	DT
A67375	37	17	TEI	TEI	NNP
A67375	37	18	in	in	IN
A67375	37	19	Libraries	Libraries	NNP
A67375	37	20	guidelines	guideline	NNS
A67375	37	21	.	.	.
A67375	38	1	Copies	copy	NNS
A67375	38	2	of	of	IN
A67375	38	3	the	the	DT
A67375	38	4	texts	text	NNS
A67375	38	5	have	have	VBP
A67375	38	6	been	be	VBN
A67375	38	7	issued	issue	VBN
A67375	38	8	variously	variously	RB
A67375	38	9	as	as	IN
A67375	38	10	SGML	SGML	NNP
A67375	38	11	(	(	-LRB-
A67375	38	12	TCP	TCP	NNP
A67375	38	13	schema	schema	NN
A67375	38	14	;	;	:
A67375	38	15	ASCII	ASCII	NNP
A67375	38	16	text	text	NN
A67375	38	17	with	with	IN
A67375	38	18	mnemonic	mnemonic	NNP
A67375	38	19	sdata	sdata	NNP
A67375	38	20	character	character	NNP
A67375	38	21	entities	entity	NNS
A67375	38	22	)	)	-RRB-
A67375	38	23	;	;	:
A67375	38	24	displayable	displayable	JJ
A67375	38	25	XML	xml	NN
A67375	38	26	(	(	-LRB-
A67375	38	27	TCP	TCP	NNP
A67375	38	28	schema	schema	NN
A67375	38	29	;	;	:
A67375	38	30	characters	character	NNS
A67375	38	31	represented	represent	VBD
A67375	38	32	either	either	CC
A67375	38	33	as	as	IN
A67375	38	34	UTF-8	UTF-8	NNP
A67375	38	35	Unicode	Unicode	NNP
A67375	38	36	or	or	CC
A67375	38	37	text	text	NN
A67375	38	38	strings	string	NNS
A67375	38	39	within	within	IN
A67375	38	40	braces	brace	NNS
A67375	38	41	)	)	-RRB-
A67375	38	42	;	;	:
A67375	38	43	or	or	CC
A67375	38	44	lossless	lossless	JJ
A67375	38	45	XML	xml	NN
A67375	38	46	(	(	-LRB-
A67375	38	47	TEI	TEI	NNP
A67375	38	48	P5	P5	NNP
A67375	38	49	,	,	,
A67375	38	50	characters	character	NNS
A67375	38	51	represented	represent	VBD
A67375	38	52	either	either	CC
A67375	38	53	as	as	IN
A67375	38	54	UTF-8	UTF-8	NNP
A67375	38	55	Unicode	Unicode	NNP
A67375	38	56	or	or	CC
A67375	38	57	TEI	TEI	NNP
A67375	38	58	g	g	NN
A67375	38	59	elements	element	NNS
A67375	38	60	)	)	-RRB-
A67375	38	61	.	.	.
A67375	39	1	Keying	keying	NN
A67375	39	2	and	and	CC
A67375	39	3	markup	markup	NN
A67375	39	4	guidelines	guideline	NNS
A67375	39	5	are	be	VBP
A67375	39	6	available	available	JJ
A67375	39	7	at	at	IN
A67375	39	8	the	the	DT
A67375	39	9	Text	Text	NNP
A67375	39	10	Creation	Creation	NNP
A67375	39	11	Partnership	Partnership	NNP
A67375	39	12	web	web	NN
A67375	39	13	site	site	NN
A67375	39	14	.	.	.
A67375	40	1	eng	eng	NNP
A67375	40	2	Conic	conic	JJ
A67375	40	3	sections	section	NNS
A67375	40	4	.	.	.
A67375	41	1	Geometry	geometry	NN
A67375	41	2	--	--	:
A67375	41	3	Early	early	RB
A67375	41	4	works	work	NNS
A67375	41	5	to	to	IN
A67375	41	6	1800	1800	CD
A67375	41	7	.	.	.
A67375	42	1	2004	2004	CD
A67375	42	2	-	-	SYM
A67375	42	3	04	04	CD
A67375	42	4	TCP	TCP	NNP
A67375	42	5	Assigned	assign	VBN
A67375	42	6	for	for	IN
A67375	42	7	keying	keying	NN
A67375	42	8	and	and	CC
A67375	42	9	markup	markup	JJ
A67375	42	10	2004	2004	CD
A67375	42	11	-	-	HYPH
A67375	42	12	04	04	CD
A67375	42	13	Apex	Apex	NNP
A67375	42	14	CoVantage	CoVantage	NNP
A67375	42	15	Keyed	Keyed	NNP
A67375	42	16	and	and	CC
A67375	42	17	coded	code	VBN
A67375	42	18	from	from	IN
A67375	42	19	ProQuest	ProQuest	NNP
A67375	42	20	page	page	NN
A67375	42	21	images	image	NNS
A67375	42	22	2004	2004	CD
A67375	42	23	-	-	SYM
A67375	42	24	06	06	CD
A67375	42	25	Melanie	Melanie	NNP
A67375	42	26	Sanders	Sanders	NNPS
A67375	42	27	Sampled	Sampled	NNP
A67375	42	28	and	and	CC
A67375	42	29	proofread	proofread	JJ
A67375	42	30	2004	2004	CD
A67375	42	31	-	-	SYM
A67375	42	32	06	06	CD
A67375	42	33	Melanie	Melanie	NNP
A67375	42	34	Sanders	Sanders	NNPS
A67375	42	35	Text	Text	NNP
A67375	42	36	and	and	CC
A67375	42	37	markup	markup	NN
A67375	42	38	reviewed	review	VBD
A67375	42	39	and	and	CC
A67375	42	40	edited	edit	VBD
A67375	42	41	2004	2004	CD
A67375	42	42	-	-	SYM
A67375	42	43	07	07	CD
A67375	42	44	pfs	pfs	NN
A67375	42	45	Batch	Batch	NNP
A67375	42	46	review	review	NN
A67375	42	47	(	(	-LRB-
A67375	42	48	QC	QC	NNP
A67375	42	49	)	)	-RRB-
A67375	42	50	and	and	CC
A67375	42	51	XML	xml	NN
A67375	42	52	conversion	conversion	NN
A67375	42	53	CONO	CONO	NNP
A67375	42	54	-	-	HYPH
A67375	42	55	CUNEUS	CUNEUS	NNP
A67375	42	56	:	:	:
A67375	42	57	OR	or	CC
A67375	42	58	,	,	,
A67375	42	59	THE	the	DT
A67375	42	60	SHIPWRIGHT	SHIPWRIGHT	NNP
A67375	42	61	'S	's	POS
A67375	42	62	CIRCULAR	CIRCULAR	NNS
A67375	42	63	WEDGE	WEDGE	NNP
A67375	42	64	.	.	.
A67375	43	1	THAT	that	DT
A67375	43	2	IS	is	RB
A67375	43	3	,	,	,
A67375	43	4	A	a	DT
A67375	43	5	Body	body	NN
A67375	43	6	resembling	resemble	VBG
A67375	43	7	in	in	IN
A67375	43	8	part	part	NN
A67375	43	9	a	a	DT
A67375	43	10	CONUS	CONUS	NNP
A67375	43	11	,	,	,
A67375	43	12	in	in	IN
A67375	43	13	part	part	NN
A67375	43	14	a	a	DT
A67375	43	15	CUNEUS	CUNEUS	NNP
A67375	43	16	,	,	,
A67375	43	17	Geometrically	Geometrically	NNP
A67375	43	18	considered	consider	VBN
A67375	43	19	.	.	.
A67375	44	1	By	by	IN
A67375	44	2	JOHN	JOHN	NNP
A67375	44	3	WALLIS	WALLIS	NNP
A67375	44	4	,	,	,
A67375	44	5	D.	D.	NNP
A67375	44	6	D.	D.	NNP
A67375	44	7	Professor	Professor	NNP
A67375	44	8	of	of	IN
A67375	44	9	Geometry	Geometry	NNP
A67375	44	10	in	in	IN
A67375	44	11	the	the	DT
A67375	44	12	University	University	NNP
A67375	44	13	of	of	IN
A67375	44	14	Oxford	Oxford	NNP
A67375	44	15	,	,	,
A67375	44	16	and	and	CC
A67375	44	17	a	a	DT
A67375	44	18	Member	Member	NNP
A67375	44	19	of	of	IN
A67375	44	20	the	the	DT
A67375	44	21	Royal	Royal	NNP
A67375	44	22	Society	Society	NNP
A67375	44	23	,	,	,
A67375	44	24	LONDON	LONDON	NNP
A67375	44	25	.	.	.
A67375	45	1	IN	in	IN
A67375	45	2	A	a	DT
A67375	45	3	LETTER	letter	NN
A67375	45	4	TO	to	IN
A67375	45	5	THE	the	DT
A67375	45	6	HONOURABLE	HONOURABLE	NNP
A67375	45	7	Sir	Sir	NNP
A67375	45	8	ROBERT	ROBERT	NNP
A67375	45	9	MORAY	MORAY	NNP
A67375	45	10	,	,	,
A67375	45	11	Knight	Knight	NNP
A67375	45	12	.	.	.
A67375	46	1	LONDON	LONDON	NNP
A67375	46	2	:	:	:
A67375	46	3	Printed	print	VBN
A67375	46	4	by	by	IN
A67375	46	5	John	John	NNP
A67375	46	6	Playford	Playford	NNP
A67375	46	7	,	,	,
A67375	46	8	for	for	IN
A67375	46	9	Richard	Richard	NNP
A67375	46	10	Davis	Davis	NNP
A67375	46	11	,	,	,
A67375	46	12	Bookseller	Bookseller	NNP
A67375	46	13	,	,	,
A67375	46	14	in	in	IN
A67375	46	15	the	the	DT
A67375	46	16	University	University	NNP
A67375	46	17	of	of	IN
A67375	46	18	OXFORD	OXFORD	NNP
A67375	46	19	,	,	,
A67375	46	20	1684	1684	CD
A67375	46	21	.	.	.
A67375	47	1	TO	to	IN
A67375	47	2	THE	the	DT
A67375	47	3	HONOURABLE	HONOURABLE	NNP
A67375	47	4	Sir	Sir	NNP
A67375	47	5	Robert	Robert	NNP
A67375	47	6	Moray	Moray	NNP
A67375	47	7	,	,	,
A67375	47	8	K	K	NNP
A67375	47	9	t.	t.	NN
A67375	47	10	SIR	SIR	NNP
A67375	47	11	,	,	,
A67375	47	12	SInce	since	IN
A67375	47	13	I	-PRON-	PRP
A67375	47	14	came	come	VBD
A67375	47	15	home	home	RB
A67375	47	16	from	from	IN
A67375	47	17	London	London	NNP
A67375	47	18	,	,	,
A67375	47	19	I	-PRON-	PRP
A67375	47	20	have	have	VBP
A67375	47	21	taken	take	VBN
A67375	47	22	some	some	DT
A67375	47	23	time	time	NN
A67375	47	24	to	to	TO
A67375	47	25	consider	consider	VB
A67375	47	26	of	of	IN
A67375	47	27	those	those	DT
A67375	47	28	Solids	solid	NNS
A67375	47	29	and	and	CC
A67375	47	30	Lines	Lines	NNPS
A67375	47	31	made	make	VBN
A67375	47	32	by	by	IN
A67375	47	33	the	the	DT
A67375	47	34	Sections	section	NNS
A67375	47	35	thereof	thereof	RB
A67375	47	36	;	;	:
A67375	47	37	proposed	propose	VBN
A67375	47	38	to	to	IN
A67375	47	39	Consideration	consideration	NN
A67375	47	40	(	(	-LRB-
A67375	47	41	to	to	IN
A67375	47	42	my	-PRON-	PRP$
A67375	47	43	Lord	Lord	NNP
A67375	47	44	Brouncker	Brouncker	NNP
A67375	47	45	and	and	CC
A67375	47	46	your	-PRON-	PRP$
A67375	47	47	self	self	NN
A67375	47	48	,	,	,
A67375	47	49	at	at	IN
A67375	47	50	your	-PRON-	PRP$
A67375	47	51	Lodgings	lodging	NNS
A67375	47	52	,	,	,
A67375	47	53	where	where	WRB
A67375	47	54	I	-PRON-	PRP
A67375	47	55	was	be	VBD
A67375	47	56	also	also	RB
A67375	47	57	present	present	JJ
A67375	47	58	)	)	-RRB-
A67375	47	59	by	by	IN
A67375	47	60	Mr.	Mr.	NNP
A67375	47	61	Pett	Pett	NNP
A67375	47	62	,	,	,
A67375	47	63	one	one	CD
A67375	47	64	of	of	IN
A67375	47	65	His	-PRON-	PRP$
A67375	47	66	Majesties	Majesties	NNPS
A67375	47	67	Commissioners	Commissioners	NNP
A67375	47	68	for	for	IN
A67375	47	69	the	the	DT
A67375	47	70	Navy	Navy	NNP
A67375	47	71	,	,	,
A67375	47	72	and	and	CC
A67375	47	73	an	an	DT
A67375	47	74	excellent	excellent	JJ
A67375	47	75	Shipwright	Shipwright	NNP
A67375	47	76	.	.	.
A67375	48	1	The	the	DT
A67375	48	2	Bodies	Bodies	NNPS
A67375	48	3	proposed	propose	VBD
A67375	48	4	to	to	IN
A67375	48	5	consideration	consideration	NN
A67375	48	6	were	be	VBD
A67375	48	7	all	all	DT
A67375	48	8	of	of	IN
A67375	48	9	this	this	DT
A67375	48	10	form	form	NN
A67375	48	11	.	.	.
A67375	49	1	On	on	IN
A67375	49	2	a	a	DT
A67375	49	3	plain	plain	JJ
A67375	49	4	Base	Base	NNP
A67375	49	5	,	,	,
A67375	49	6	which	which	WDT
A67375	49	7	was	be	VBD
A67375	49	8	the	the	DT
A67375	49	9	Quadrant	Quadrant	NNP
A67375	49	10	of	of	IN
A67375	49	11	a	a	DT
A67375	49	12	Circle	Circle	NNP
A67375	49	13	,	,	,
A67375	49	14	(	(	-LRB-
A67375	49	15	like	like	IN
A67375	49	16	that	that	DT
A67375	49	17	of	of	IN
A67375	49	18	a	a	DT
A67375	49	19	Quadrantal	Quadrantal	NNP
A67375	49	20	Cone	Cone	NNP
A67375	49	21	or	or	CC
A67375	49	22	Cylinder	Cylinder	NNP
A67375	49	23	)	)	-RRB-
A67375	49	24	stood	stand	VBD
A67375	49	25	an	an	DT
A67375	49	26	erect	erect	NN
A67375	49	27	Solid	solid	JJ
A67375	49	28	,	,	,
A67375	49	29	whose	whose	WP$
A67375	49	30	Altitude	altitude	NN
A67375	49	31	(	(	-LRB-
A67375	49	32	being	be	VBG
A67375	49	33	arbitrary	arbitrary	JJ
A67375	49	34	)	)	-RRB-
A67375	49	35	was	be	VBD
A67375	49	36	there	there	RB
A67375	49	37	double	double	JJ
A67375	49	38	to	to	IN
A67375	49	39	the	the	DT
A67375	49	40	Radius	Radius	NNP
A67375	49	41	of	of	IN
A67375	49	42	that	that	DT
A67375	49	43	Quadrant	Quadrant	NNP
A67375	49	44	;	;	:
A67375	49	45	and	and	CC
A67375	49	46	from	from	IN
A67375	49	47	every	every	DT
A67375	49	48	Point	point	NN
A67375	49	49	of	of	IN
A67375	49	50	its	-PRON-	PRP$
A67375	49	51	Perimeter	Perimeter	NNP
A67375	49	52	,	,	,
A67375	49	53	streight	streight	JJ
A67375	49	54	Lines	line	NNS
A67375	49	55	drawn	draw	VBN
A67375	49	56	to	to	IN
A67375	49	57	the	the	DT
A67375	49	58	Vertex	Vertex	NNP
A67375	49	59	,	,	,
A67375	49	60	met	meet	VBD
A67375	49	61	there	there	RB
A67375	49	62	,	,	,
A67375	49	63	not	not	RB
A67375	49	64	in	in	IN
A67375	49	65	a	a	DT
A67375	49	66	Point	Point	NNP
A67375	49	67	(	(	-LRB-
A67375	49	68	as	as	IN
A67375	49	69	is	be	VBZ
A67375	49	70	the	the	DT
A67375	49	71	Apex	Apex	NNP
A67375	49	72	of	of	IN
A67375	49	73	a	a	DT
A67375	49	74	Cone	Cone	NNP
A67375	49	75	)	)	-RRB-
A67375	49	76	,	,	,
A67375	49	77	nor	nor	CC
A67375	49	78	in	in	IN
A67375	49	79	a	a	DT
A67375	49	80	parallel	parallel	JJ
A67375	49	81	Quadrant	Quadrant	NNP
A67375	49	82	(	(	-LRB-
A67375	49	83	as	as	IN
A67375	49	84	in	in	IN
A67375	49	85	a	a	DT
A67375	49	86	Quadrantal	Quadrantal	NNP
A67375	49	87	Cylinder	Cylinder	NNP
A67375	49	88	)	)	-RRB-
A67375	49	89	,	,	,
A67375	49	90	but	but	CC
A67375	49	91	in	in	IN
A67375	49	92	a	a	DT
A67375	49	93	streight	streight	JJ
A67375	49	94	Line	line	NN
A67375	49	95	or	or	CC
A67375	49	96	sharp	sharp	JJ
A67375	49	97	Edge	edge	NN
A67375	49	98	,	,	,
A67375	49	99	like	like	IN
A67375	49	100	that	that	DT
A67375	49	101	of	of	IN
A67375	49	102	a	a	DT
A67375	49	103	Wedge	Wedge	NNP
A67375	49	104	or	or	CC
A67375	49	105	Cuneus	Cuneus	NNP
A67375	49	106	.	.	.
A67375	50	1	On	on	IN
A67375	50	2	which	which	WDT
A67375	50	3	consideration	consideration	NN
A67375	50	4	,	,	,
A67375	50	5	I	-PRON-	PRP
A67375	50	6	thought	think	VBD
A67375	50	7	fit	fit	JJ
A67375	50	8	to	to	TO
A67375	50	9	give	give	VB
A67375	50	10	it	-PRON-	PRP
A67375	50	11	the	the	DT
A67375	50	12	name	name	NN
A67375	50	13	of	of	IN
A67375	50	14	Cono	Cono	NNP
A67375	50	15	-	-	HYPH
A67375	50	16	Cuneus	Cuneus	NNP
A67375	50	17	,	,	,
A67375	50	18	as	as	IN
A67375	50	19	having	have	VBG
A67375	50	20	the	the	DT
A67375	50	21	Base	Base	NNP
A67375	50	22	of	of	IN
A67375	50	23	a	a	DT
A67375	50	24	Cone	Cone	NNP
A67375	50	25	,	,	,
A67375	50	26	and	and	CC
A67375	50	27	the	the	DT
A67375	50	28	Vertex	Vertex	NNP
A67375	50	29	of	of	IN
A67375	50	30	a	a	DT
A67375	50	31	Cuneus	Cuneus	NNP
A67375	50	32	.	.	.
A67375	51	1	By	by	IN
A67375	51	2	the	the	DT
A67375	51	3	various	various	JJ
A67375	51	4	Sections	section	NNS
A67375	51	5	of	of	IN
A67375	51	6	this	this	DT
A67375	51	7	Solid	Solid	NNP
A67375	51	8	,	,	,
A67375	51	9	in	in	IN
A67375	51	10	several	several	JJ
A67375	51	11	Positions	position	NNS
A67375	51	12	,	,	,
A67375	51	13	he	-PRON-	PRP
A67375	51	14	did	do	VBD
A67375	51	15	(	(	-LRB-
A67375	51	16	rightly	rightly	RB
A67375	51	17	)	)	-RRB-
A67375	51	18	conceive	conceive	JJ
A67375	51	19	,	,	,
A67375	51	20	that	that	WDT
A67375	51	21	divers	diver	VBZ
A67375	51	22	new	new	JJ
A67375	51	23	Lines	line	NNS
A67375	51	24	must	must	MD
A67375	51	25	arise	arise	VB
A67375	51	26	,	,	,
A67375	51	27	in	in	IN
A67375	51	28	great	great	JJ
A67375	51	29	variety	variety	NN
A67375	51	30	,	,	,
A67375	51	31	different	different	JJ
A67375	51	32	from	from	IN
A67375	51	33	those	those	DT
A67375	51	34	arising	arise	VBG
A67375	51	35	from	from	IN
A67375	51	36	the	the	DT
A67375	51	37	Section	Section	NNP
A67375	51	38	of	of	IN
A67375	51	39	a	a	DT
A67375	51	40	Cone	cone	NN
A67375	51	41	.	.	.
A67375	52	1	Some	some	DT
A67375	52	2	of	of	IN
A67375	52	3	which	which	WDT
A67375	52	4	he	-PRON-	PRP
A67375	52	5	supposed	suppose	VBD
A67375	52	6	might	may	MD
A67375	52	7	be	be	VB
A67375	52	8	of	of	IN
A67375	52	9	good	good	JJ
A67375	52	10	use	use	NN
A67375	52	11	in	in	IN
A67375	52	12	the	the	DT
A67375	52	13	Building	Building	NNP
A67375	52	14	of	of	IN
A67375	52	15	Ships	Ships	NNPS
A67375	52	16	;	;	:
A67375	52	17	in	in	IN
A67375	52	18	order	order	NN
A67375	52	19	to	to	TO
A67375	52	20	which	which	WDT
A67375	52	21	it	-PRON-	PRP
A67375	52	22	was	be	VBD
A67375	52	23	,	,	,
A67375	52	24	that	that	IN
A67375	52	25	he	-PRON-	PRP
A67375	52	26	proposed	propose	VBD
A67375	52	27	them	-PRON-	PRP
A67375	52	28	to	to	IN
A67375	52	29	Consideration	consideration	NN
A67375	52	30	Now	now	RB
A67375	52	31	because	because	IN
A67375	52	32	he	-PRON-	PRP
A67375	52	33	judged	judge	VBD
A67375	52	34	it	-PRON-	PRP
A67375	52	35	troublesom	troublesom	VBZ
A67375	52	36	(	(	-LRB-
A67375	52	37	as	as	RB
A67375	52	38	indeed	indeed	RB
A67375	52	39	it	-PRON-	PRP
A67375	52	40	would	would	MD
A67375	52	41	be	be	VB
A67375	52	42	)	)	-RRB-
A67375	52	43	first	first	RB
A67375	52	44	to	to	TO
A67375	52	45	form	form	VB
A67375	52	46	such	such	JJ
A67375	52	47	Solids	solid	NNS
A67375	52	48	,	,	,
A67375	52	49	and	and	CC
A67375	52	50	then	then	RB
A67375	52	51	cut	cut	VB
A67375	52	52	them	-PRON-	PRP
A67375	52	53	by	by	IN
A67375	52	54	Plains	Plains	NNPS
A67375	52	55	in	in	IN
A67375	52	56	such	such	JJ
A67375	52	57	Positions	position	NNS
A67375	52	58	as	as	IN
A67375	52	59	he	-PRON-	PRP
A67375	52	60	des	de	VBZ
A67375	52	61	●	●	NFP
A67375	52	62	red	red	NN
A67375	52	63	;	;	:
A67375	52	64	he	-PRON-	PRP
A67375	52	65	had	have	VBD
A67375	52	66	(	(	-LRB-
A67375	52	67	for	for	IN
A67375	52	68	avoiding	avoid	VBG
A67375	52	69	that	that	IN
A67375	52	70	trouble	trouble	NN
A67375	52	71	)	)	-RRB-
A67375	52	72	ingeniously	ingeniously	RB
A67375	52	73	contrived	contrive	VBD
A67375	52	74	this	this	DT
A67375	52	75	Expedient	Expedient	NNP
A67375	52	76	.	.	.
A67375	53	1	He	-PRON-	PRP
A67375	53	2	caused	cause	VBD
A67375	53	3	divers	diver	NNS
A67375	53	4	Boards	Boards	NNPS
A67375	53	5	,	,	,
A67375	53	6	of	of	IN
A67375	53	7	a	a	DT
A67375	53	8	good	good	JJ
A67375	53	9	solid	solid	JJ
A67375	53	10	Wood	wood	NN
A67375	53	11	,	,	,
A67375	53	12	to	to	TO
A67375	53	13	be	be	VB
A67375	53	14	exactly	exactly	RB
A67375	53	15	planed	plane	VBN
A67375	53	16	,	,	,
A67375	53	17	some	some	DT
A67375	53	18	of	of	IN
A67375	53	19	an	an	DT
A67375	53	20	equal	equal	JJ
A67375	53	21	thickness	thickness	NN
A67375	53	22	,	,	,
A67375	53	23	some	some	DT
A67375	53	24	meeting	meeting	NN
A67375	53	25	in	in	IN
A67375	53	26	a	a	DT
A67375	53	27	sharp	sharp	JJ
A67375	53	28	edge	edge	NN
A67375	53	29	;	;	:
A67375	53	30	those	those	DT
A67375	53	31	of	of	IN
A67375	53	32	the	the	DT
A67375	53	33	former	former	JJ
A67375	53	34	,	,	,
A67375	53	35	he	-PRON-	PRP
A67375	53	36	caused	cause	VBD
A67375	53	37	to	to	TO
A67375	53	38	be	be	VB
A67375	53	39	glewed	glewe	VBN
A67375	53	40	together	together	RB
A67375	53	41	in	in	IN
A67375	53	42	a	a	DT
A67375	53	43	parallel	parallel	JJ
A67375	53	44	Position	position	NN
A67375	53	45	;	;	:
A67375	53	46	those	those	DT
A67375	53	47	of	of	IN
A67375	53	48	the	the	DT
A67375	53	49	latter	latter	JJ
A67375	53	50	sort	sort	NN
A67375	53	51	,	,	,
A67375	53	52	he	-PRON-	PRP
A67375	53	53	caused	cause	VBD
A67375	53	54	so	so	RB
A67375	53	55	to	to	TO
A67375	53	56	be	be	VB
A67375	53	57	glewed	glewe	VBN
A67375	53	58	together	together	RB
A67375	53	59	,	,	,
A67375	53	60	as	as	IN
A67375	53	61	that	that	IN
A67375	53	62	their	-PRON-	PRP$
A67375	53	63	sharp	sharp	JJ
A67375	53	64	edges	edge	NNS
A67375	53	65	met	meet	VBD
A67375	53	66	in	in	IN
A67375	53	67	one	one	CD
A67375	53	68	common	common	JJ
A67375	53	69	Angle	angle	NN
A67375	53	70	.	.	.
A67375	54	1	And	and	CC
A67375	54	2	having	have	VBG
A67375	54	3	thus	thus	RB
A67375	54	4	formed	form	VBN
A67375	54	5	several	several	JJ
A67375	54	6	Solids	solid	NNS
A67375	54	7	,	,	,
A67375	54	8	of	of	IN
A67375	54	9	Boards	Boards	NNPS
A67375	54	10	thus	thus	RB
A67375	54	11	glewed	glewe	VBD
A67375	54	12	together	together	RB
A67375	54	13	,	,	,
A67375	54	14	he	-PRON-	PRP
A67375	54	15	then	then	RB
A67375	54	16	caused	cause	VBD
A67375	54	17	them	-PRON-	PRP
A67375	54	18	to	to	TO
A67375	54	19	be	be	VB
A67375	54	20	wrought	work	VBN
A67375	54	21	into	into	IN
A67375	54	22	such	such	PDT
A67375	54	23	a	a	DT
A67375	54	24	form	form	NN
A67375	54	25	as	as	IN
A67375	54	26	that	that	DT
A67375	54	27	before	before	IN
A67375	54	28	described	describe	VBN
A67375	54	29	:	:	:
A67375	54	30	Which	which	WDT
A67375	54	31	being	be	VBG
A67375	54	32	done	do	VBN
A67375	54	33	,	,	,
A67375	54	34	he	-PRON-	PRP
A67375	54	35	then	then	RB
A67375	54	36	caused	cause	VBD
A67375	54	37	the	the	DT
A67375	54	38	Glew	Glew	NNP
A67375	54	39	to	to	TO
A67375	54	40	be	be	VB
A67375	54	41	dissolved	dissolve	VBN
A67375	54	42	in	in	IN
A67375	54	43	warm	warm	JJ
A67375	54	44	Water	Water	NNP
A67375	54	45	,	,	,
A67375	54	46	whereby	whereby	WRB
A67375	54	47	the	the	DT
A67375	54	48	several	several	JJ
A67375	54	49	Boards	Boards	NNPS
A67375	54	50	,	,	,
A67375	54	51	falling	fall	VBG
A67375	54	52	asunder	asunder	RB
A67375	54	53	,	,	,
A67375	54	54	did	do	VBD
A67375	54	55	exhibit	exhibit	NN
A67375	54	56	,	,	,
A67375	54	57	in	in	IN
A67375	54	58	their	-PRON-	PRP$
A67375	54	59	several	several	JJ
A67375	54	60	faces	face	NNS
A67375	54	61	,	,	,
A67375	54	62	the	the	DT
A67375	54	63	respective	respective	JJ
A67375	54	64	Sections	section	NNS
A67375	54	65	of	of	IN
A67375	54	66	those	those	DT
A67375	54	67	Solids	solid	NNS
A67375	54	68	.	.	.
A67375	55	1	And	and	CC
A67375	55	2	such	such	JJ
A67375	55	3	were	be	VBD
A67375	55	4	those	those	DT
A67375	55	5	he	-PRON-	PRP
A67375	55	6	shewed	shew	VBD
A67375	55	7	us	-PRON-	PRP
A67375	55	8	;	;	:
A67375	55	9	which	which	WDT
A67375	55	10	being	be	VBG
A67375	55	11	put	put	VBN
A67375	55	12	together	together	RB
A67375	55	13	,	,	,
A67375	55	14	made	make	VBN
A67375	55	15	up	up	RP
A67375	55	16	such	such	JJ
A67375	55	17	Solids	solid	NNS
A67375	55	18	;	;	,
A67375	55	19	and	and	CC
A67375	55	20	taken	take	VBN
A67375	55	21	asunder	asunder	RB
A67375	55	22	,	,	,
A67375	55	23	shewed	shew	VBD
A67375	55	24	the	the	DT
A67375	55	25	several	several	JJ
A67375	55	26	Sections	section	NNS
A67375	55	27	of	of	IN
A67375	55	28	them	-PRON-	PRP
A67375	55	29	.	.	.
A67375	56	1	I	-PRON-	PRP
A67375	56	2	do	do	VBP
A67375	56	3	not	not	RB
A67375	56	4	intend	intend	VB
A67375	56	5	at	at	RB
A67375	56	6	all	all	RB
A67375	56	7	to	to	TO
A67375	56	8	disparage	disparage	VB
A67375	56	9	the	the	DT
A67375	56	10	ingenuity	ingenuity	NN
A67375	56	11	of	of	IN
A67375	56	12	that	that	DT
A67375	56	13	Contrivance	Contrivance	NNP
A67375	56	14	,	,	,
A67375	56	15	which	which	WDT
A67375	56	16	was	be	VBD
A67375	56	17	indeed	indeed	RB
A67375	56	18	very	very	RB
A67375	56	19	handsom	handsom	JJ
A67375	56	20	,	,	,
A67375	56	21	and	and	CC
A67375	56	22	neatly	neatly	RB
A67375	56	23	performed	perform	VBD
A67375	56	24	,	,	,
A67375	56	25	but	but	CC
A67375	56	26	do	do	VB
A67375	56	27	withall	withall	NN
A67375	56	28	suppose	suppose	VB
A67375	56	29	,	,	,
A67375	56	30	that	that	IN
A67375	56	31	it	-PRON-	PRP
A67375	56	32	would	would	MD
A67375	56	33	not	not	RB
A67375	56	34	be	be	VB
A67375	56	35	unpleasing	unpleasing	JJ
A67375	56	36	to	to	IN
A67375	56	37	your	-PRON-	PRP$
A67375	56	38	self	self	NN
A67375	56	39	,	,	,
A67375	56	40	or	or	CC
A67375	56	41	him	-PRON-	PRP
A67375	56	42	,	,	,
A67375	56	43	to	to	TO
A67375	56	44	see	see	VB
A67375	56	45	those	those	DT
A67375	56	46	Lines	line	NNS
A67375	56	47	described	describe	VBN
A67375	56	48	in	in	IN
A67375	56	49	Plano	Plano	NNP
A67375	56	50	,	,	,
A67375	56	51	which	which	WDT
A67375	56	52	would	would	MD
A67375	56	53	arise	arise	VB
A67375	56	54	by	by	IN
A67375	56	55	such	such	JJ
A67375	56	56	Section	Section	NNP
A67375	56	57	of	of	IN
A67375	56	58	the	the	DT
A67375	56	59	Solid	Solid	NNP
A67375	56	60	.	.	.
A67375	57	1	That	that	IN
A67375	57	2	therefore	therefore	RB
A67375	57	3	is	be	VBZ
A67375	57	4	the	the	DT
A67375	57	5	work	work	NN
A67375	57	6	of	of	IN
A67375	57	7	these	these	DT
A67375	57	8	Papers	Papers	NNPS
A67375	57	9	,	,	,
A67375	57	10	to	to	TO
A67375	57	11	represent	represent	VB
A67375	57	12	the	the	DT
A67375	57	13	true	true	JJ
A67375	57	14	nature	nature	NN
A67375	57	15	of	of	IN
A67375	57	16	such	such	JJ
A67375	57	17	Lines	line	NNS
A67375	57	18	,	,	,
A67375	57	19	and	and	CC
A67375	57	20	the	the	DT
A67375	57	21	ways	way	NNS
A67375	57	22	to	to	TO
A67375	57	23	draw	draw	VB
A67375	57	24	them	-PRON-	PRP
A67375	57	25	,	,	,
A67375	57	26	without	without	IN
A67375	57	27	the	the	DT
A67375	57	28	actual	actual	JJ
A67375	57	29	Section	Section	NNP
A67375	57	30	of	of	IN
A67375	57	31	a	a	DT
A67375	57	32	Solid	Solid	NNP
A67375	57	33	.	.	.
A67375	58	1	Which	which	WDT
A67375	58	2	I	-PRON-	PRP
A67375	58	3	have	have	VBP
A67375	58	4	the	the	DT
A67375	58	5	rather	rather	RB
A67375	58	6	undertaken	undertake	VBN
A67375	58	7	,	,	,
A67375	58	8	because	because	IN
A67375	58	9	this	this	DT
A67375	58	10	is	be	VBZ
A67375	58	11	a	a	DT
A67375	58	12	Solid	Solid	NNP
A67375	58	13	which	which	WDT
A67375	58	14	I	-PRON-	PRP
A67375	58	15	do	do	VBP
A67375	58	16	not	not	RB
A67375	58	17	know	know	VB
A67375	58	18	that	that	IN
A67375	58	19	any	any	DT
A67375	58	20	other	other	JJ
A67375	58	21	have	have	VBP
A67375	58	22	before	before	IN
A67375	58	23	considered	consider	VBN
A67375	58	24	.	.	.
A67375	59	1	And	and	CC
A67375	59	2	because	because	IN
A67375	59	3	this	this	DT
A67375	59	4	may	may	MD
A67375	59	5	be	be	VB
A67375	59	6	a	a	DT
A67375	59	7	Pattern	pattern	NN
A67375	59	8	;	;	:
A67375	59	9	according	accord	VBG
A67375	59	10	to	to	IN
A67375	59	11	which	which	WDT
A67375	59	12	,	,	,
A67375	59	13	other	other	JJ
A67375	59	14	Solids	solid	NNS
A67375	59	15	of	of	IN
A67375	59	16	like	like	IN
A67375	59	17	nature	nature	NN
A67375	59	18	may	may	MD
A67375	59	19	be	be	VB
A67375	59	20	in	in	IN
A67375	59	21	like	like	UH
A67375	59	22	manner	manner	NN
A67375	59	23	considered	consider	VBN
A67375	59	24	if	if	IN
A67375	59	25	there	there	EX
A67375	59	26	shall	shall	MD
A67375	59	27	be	be	VB
A67375	59	28	occasion	occasion	NN
A67375	59	29	.	.	.
A67375	60	1	If	if	IN
A67375	60	2	beside	beside	IN
A67375	60	3	these	these	DT
A67375	60	4	Sections	section	NNS
A67375	60	5	which	which	WDT
A67375	60	6	he	-PRON-	PRP
A67375	60	7	hath	hath	VBP
A67375	60	8	already	already	RB
A67375	60	9	considered	consider	VBN
A67375	60	10	,	,	,
A67375	60	11	there	there	EX
A67375	60	12	be	be	VB
A67375	60	13	any	any	DT
A67375	60	14	other	other	JJ
A67375	60	15	Sections	section	NNS
A67375	60	16	of	of	IN
A67375	60	17	this	this	DT
A67375	60	18	or	or	CC
A67375	60	19	other	other	JJ
A67375	60	20	the	the	DT
A67375	60	21	like	like	JJ
A67375	60	22	Solids	solid	NNS
A67375	60	23	which	which	WDT
A67375	60	24	he	-PRON-	PRP
A67375	60	25	shall	shall	MD
A67375	60	26	conceive	conceive	VB
A67375	60	27	useful	useful	JJ
A67375	60	28	to	to	IN
A67375	60	29	his	-PRON-	PRP$
A67375	60	30	purpose	purpose	NN
A67375	60	31	;	;	:
A67375	60	32	the	the	DT
A67375	60	33	same	same	JJ
A67375	60	34	may	may	NNP
A67375	60	35	in	in	IN
A67375	60	36	like	like	JJ
A67375	60	37	manner	manner	NN
A67375	60	38	be	be	VB
A67375	60	39	represented	represent	VBN
A67375	60	40	(	(	-LRB-
A67375	60	41	without	without	IN
A67375	60	42	the	the	DT
A67375	60	43	actual	actual	JJ
A67375	60	44	Section	Section	NNP
A67375	60	45	of	of	IN
A67375	60	46	such	such	JJ
A67375	60	47	Solids	solid	NNS
A67375	60	48	)	)	-RRB-
A67375	60	49	by	by	IN
A67375	60	50	Lines	line	NNS
A67375	60	51	thus	thus	RB
A67375	60	52	described	describe	VBN
A67375	60	53	in	in	IN
A67375	60	54	a	a	DT
A67375	60	55	Plain	Plain	NNP
A67375	60	56	.	.	.
A67375	61	1	But	but	CC
A67375	61	2	which	which	WDT
A67375	61	3	of	of	IN
A67375	61	4	them	-PRON-	PRP
A67375	61	5	may	may	MD
A67375	61	6	be	be	VB
A67375	61	7	most	most	RBS
A67375	61	8	advantageous	advantageous	JJ
A67375	61	9	to	to	IN
A67375	61	10	his	-PRON-	PRP$
A67375	61	11	design	design	NN
A67375	61	12	,	,	,
A67375	61	13	I	-PRON-	PRP
A67375	61	14	do	do	VBP
A67375	61	15	not	not	RB
A67375	61	16	pretend	pretend	VB
A67375	61	17	to	to	TO
A67375	61	18	understand	understand	VB
A67375	61	19	so	so	RB
A67375	61	20	well	well	RB
A67375	61	21	,	,	,
A67375	61	22	nor	nor	CC
A67375	61	23	can	can	MD
A67375	61	24	with	with	IN
A67375	61	25	so	so	RB
A67375	61	26	much	much	JJ
A67375	61	27	certainty	certainty	NN
A67375	61	28	affirm	affirm	VBP
A67375	61	29	;	;	:
A67375	61	30	as	as	IN
A67375	61	31	,	,	,
A67375	61	32	that	that	IN
A67375	61	33	I	-PRON-	PRP
A67375	61	34	am	be	VBP
A67375	61	35	,	,	,
A67375	61	36	SIR	SIR	NNP
A67375	61	37	,	,	,
A67375	61	38	Your	-PRON-	PRP$
A67375	61	39	very	very	RB
A67375	61	40	humble	humble	JJ
A67375	61	41	Servant	servant	NN
A67375	61	42	,	,	,
A67375	61	43	Oxon	Oxon	NNP
A67375	61	44	,	,	,
A67375	61	45	Apr.	April	NNP
A67375	62	1	7	7	LS
A67375	62	2	.	.	.
A67375	63	1	1662	1662	CD
A67375	63	2	.	.	.
A67375	64	1	JOHN	JOHN	NNP
A67375	64	2	WALLIS	WALLIS	NNP
A67375	64	3	.	.	.
A67375	65	1	CONO	cono	JJ
A67375	65	2	-	-	HYPH
A67375	65	3	CUNEUS	cuneus	NN
A67375	65	4	OR	or	CC
A67375	65	5	,	,	,
A67375	65	6	THE	the	DT
A67375	65	7	SHIPWRIGHT	SHIPWRIGHT	NNP
A67375	65	8	'S	's	POS
A67375	65	9	CIRCULAR	CIRCULAR	NNS
A67375	65	10	WEDGE	WEDGE	NNP
A67375	65	11	.	.	.
A67375	66	1	The	the	DT
A67375	66	2	Sections	section	NNS
A67375	66	3	of	of	IN
A67375	66	4	a	a	DT
A67375	66	5	CONO	CONO	NNP
A67375	66	6	-	-	HYPH
A67375	66	7	CUNEUS	CUNEUS	NNP
A67375	66	8	.	.	.
A67375	67	1	1	1	LS
A67375	67	2	.	.	.
A67375	68	1	ON	on	IN
A67375	68	2	a	a	DT
A67375	68	3	Rectangle	Rectangle	NNP
A67375	68	4	CDBA	CDBA	NNP
A67375	68	5	,	,	,
A67375	68	6	Fig	Fig	NNP
A67375	68	7	.	.	.
A67375	69	1	1	1	LS
A67375	69	2	.	.	.
A67375	69	3	erect	erect	NN
A67375	69	4	at	at	IN
A67375	69	5	Right	Right	NNP
A67375	69	6	Angles	Angles	NNP
A67375	69	7	the	the	DT
A67375	69	8	Quadrant	quadrant	NN
A67375	69	9	of	of	IN
A67375	69	10	a	a	DT
A67375	69	11	Circle	Circle	NNP
A67375	69	12	CQD	cqd	NN
A67375	69	13	;	;	:
A67375	69	14	and	and	CC
A67375	69	15	joining	join	VBG
A67375	69	16	QA	qa	NN
A67375	69	17	,	,	,
A67375	69	18	compleat	compleat	VB
A67375	69	19	the	the	DT
A67375	69	20	Rectangled	Rectangled	NNP
A67375	69	21	Triangle	Triangle	NNP
A67375	69	22	CQA	CQA	NNP
A67375	69	23	.	.	.
A67375	70	1	Supposing	suppose	VBG
A67375	70	2	then	then	RB
A67375	70	3	from	from	IN
A67375	70	4	every	every	DT
A67375	70	5	Point	point	NN
A67375	70	6	of	of	IN
A67375	70	7	the	the	DT
A67375	70	8	Quadrantal	Quadrantal	NNP
A67375	70	9	Arch	Arch	NNP
A67375	70	10	DQ	DQ	NNP
A67375	70	11	,	,	,
A67375	70	12	to	to	IN
A67375	70	13	their	-PRON-	PRP$
A67375	70	14	respective	respective	JJ
A67375	70	15	Points	point	NNS
A67375	70	16	in	in	IN
A67375	70	17	the	the	DT
A67375	70	18	streight	streight	JJ
A67375	70	19	Line	Line	NNP
A67375	70	20	BA	BA	NNP
A67375	70	21	,	,	,
A67375	70	22	in	in	IN
A67375	70	23	Plains	Plains	NNPS
A67375	70	24	parallel	parallel	JJ
A67375	70	25	to	to	IN
A67375	70	26	the	the	DT
A67375	70	27	Triangle	Triangle	NNP
A67375	70	28	CQA	CQA	NNP
A67375	70	29	,	,	,
A67375	70	30	the	the	DT
A67375	70	31	streight	streight	JJ
A67375	70	32	Lines	Lines	NNP
A67375	70	33	Sa	Sa	NNP
A67375	70	34	to	to	TO
A67375	70	35	be	be	VB
A67375	70	36	drawn	draw	VBN
A67375	70	37	,	,	,
A67375	70	38	compleating	compleate	VBG
A67375	70	39	a	a	DT
A67375	70	40	Curve	Curve	NNP
A67375	70	41	Superficies	Superficies	NNPS
A67375	70	42	DSQAaB	DSQAaB	VBD
A67375	70	43	;	;	:
A67375	70	44	the	the	DT
A67375	70	45	Solid	Solid	NNP
A67375	70	46	thus	thus	RB
A67375	70	47	contained	contain	VBD
A67375	70	48	,	,	,
A67375	70	49	I	-PRON-	PRP
A67375	70	50	call	call	VBP
A67375	70	51	a	a	DT
A67375	70	52	Cono	Cono	NNP
A67375	70	53	-	-	HYPH
A67375	70	54	Cuneus	Cuneus	NNP
A67375	70	55	.	.	.
A67375	71	1	2	2	LS
A67375	71	2	.	.	.
A67375	72	1	It	-PRON-	PRP
A67375	72	2	differs	differ	VBZ
A67375	72	3	from	from	IN
A67375	72	4	a	a	DT
A67375	72	5	Quadrantal	Quadrantal	NNP
A67375	72	6	Cone	Cone	NNP
A67375	72	7	,	,	,
A67375	72	8	in	in	IN
A67375	72	9	this	this	DT
A67375	72	10	only	only	RB
A67375	72	11	;	;	:
A67375	72	12	That	that	IN
A67375	72	13	what	what	WP
A67375	72	14	is	be	VBZ
A67375	72	15	here	here	RB
A67375	72	16	a	a	DT
A67375	72	17	streight	streight	JJ
A67375	72	18	Line	Line	NNP
A67375	72	19	AB	AB	NNP
A67375	72	20	,	,	,
A67375	72	21	is	be	VBZ
A67375	72	22	there	there	EX
A67375	72	23	a	a	DT
A67375	72	24	single	single	JJ
A67375	72	25	Point	point	NN
A67375	72	26	;	;	:
A67375	72	27	all	all	PDT
A67375	72	28	the	the	DT
A67375	72	29	Lines	Lines	NNPS
A67375	72	30	drawn	draw	VBN
A67375	72	31	from	from	IN
A67375	72	32	the	the	DT
A67375	72	33	Points	Points	NNPS
A67375	72	34	S	S	NNP
A67375	72	35	,	,	,
A67375	72	36	meeting	meet	VBG
A67375	72	37	there	there	RB
A67375	72	38	at	at	IN
A67375	72	39	the	the	DT
A67375	72	40	Point	Point	NNP
A67375	72	41	A.	a.	NN
A67375	73	1	3	3	LS
A67375	73	2	.	.	.
A67375	74	1	It	-PRON-	PRP
A67375	74	2	differs	differ	VBZ
A67375	74	3	in	in	IN
A67375	74	4	this	this	DT
A67375	74	5	from	from	IN
A67375	74	6	a	a	DT
A67375	74	7	Wedge	Wedge	NNP
A67375	74	8	,	,	,
A67375	74	9	or	or	CC
A67375	74	10	Cuneus	Cuneus	NNP
A67375	74	11	;	;	:
A67375	74	12	That	that	IN
A67375	74	13	what	what	WP
A67375	74	14	is	be	VBZ
A67375	74	15	here	here	RB
A67375	74	16	a	a	DT
A67375	74	17	Quadrant	Quadrant	NNP
A67375	74	18	CQD	cqd	NN
A67375	74	19	,	,	,
A67375	74	20	is	be	VBZ
A67375	74	21	there	there	EX
A67375	74	22	a	a	DT
A67375	74	23	Rectangle	Rectangle	NNP
A67375	74	24	.	.	.
A67375	75	1	4	4	LS
A67375	75	2	.	.	.
A67375	76	1	It	-PRON-	PRP
A67375	76	2	differs	differ	VBZ
A67375	76	3	in	in	IN
A67375	76	4	this	this	DT
A67375	76	5	from	from	IN
A67375	76	6	a	a	DT
A67375	76	7	Quadrantal	Quadrantal	NNP
A67375	76	8	Cylinder	Cylinder	NNP
A67375	76	9	;	;	:
A67375	76	10	That	that	IN
A67375	76	11	what	what	WP
A67375	76	12	is	be	VBZ
A67375	76	13	here	here	RB
A67375	76	14	a	a	DT
A67375	76	15	streight	streight	JJ
A67375	76	16	Line	Line	NNP
A67375	76	17	AB	AB	NNP
A67375	76	18	,	,	,
A67375	76	19	is	be	VBZ
A67375	76	20	there	there	EX
A67375	76	21	a	a	DT
A67375	76	22	Quadrant	Quadrant	NNP
A67375	76	23	,	,	,
A67375	76	24	equal	equal	JJ
A67375	76	25	and	and	CC
A67375	76	26	parallel	parallel	JJ
A67375	76	27	to	to	IN
A67375	76	28	CQD	CQD	NNP
A67375	76	29	.	.	.
A67375	77	1	5	5	CD
A67375	77	2	.	.	.
A67375	78	1	This	this	DT
A67375	78	2	Solid	Solid	NNP
A67375	78	3	,	,	,
A67375	78	4	being	be	VBG
A67375	78	5	cut	cut	VBN
A67375	78	6	by	by	IN
A67375	78	7	Plains	Plains	NNPS
A67375	78	8	in	in	IN
A67375	78	9	different	different	JJ
A67375	78	10	Positions	position	NNS
A67375	78	11	,	,	,
A67375	78	12	will	will	MD
A67375	78	13	produce	produce	VB
A67375	78	14	,	,	,
A67375	78	15	in	in	IN
A67375	78	16	the	the	DT
A67375	78	17	Curve	Curve	NNP
A67375	78	18	Surface	Surface	NNP
A67375	78	19	DQAB	DQAB	NNP
A67375	78	20	,	,	,
A67375	78	21	great	great	JJ
A67375	78	22	variety	variety	NN
A67375	78	23	of	of	IN
A67375	78	24	Lines	Lines	NNP
A67375	78	25	.	.	.
A67375	79	1	As	as	IN
A67375	79	2	for	for	IN
A67375	79	3	Example	example	NN
A67375	79	4	:	:	:
A67375	79	5	6	6	CD
A67375	79	6	.	.	.
A67375	80	1	First	first	RB
A67375	80	2	;	;	:
A67375	80	3	If	if	IN
A67375	80	4	it	-PRON-	PRP
A67375	80	5	be	be	VB
A67375	80	6	cut	cut	VBN
A67375	80	7	by	by	IN
A67375	80	8	RSa	RSa	NNS
A67375	80	9	,	,	,
A67375	80	10	a	a	DT
A67375	80	11	Plain	Plain	NNP
A67375	80	12	parallel	parallel	NN
A67375	80	13	to	to	IN
A67375	80	14	the	the	DT
A67375	80	15	Triangle	Triangle	NNP
A67375	80	16	CQA	CQA	NNP
A67375	80	17	,	,	,
A67375	80	18	the	the	DT
A67375	80	19	Line	Line	NNP
A67375	80	20	Sa	Sa	NNP
A67375	80	21	is	be	VBZ
A67375	80	22	(	(	-LRB-
A67375	80	23	by	by	IN
A67375	80	24	construction	construction	NN
A67375	80	25	)	)	-RRB-
A67375	80	26	a	a	DT
A67375	80	27	streight	streight	JJ
A67375	80	28	Line	line	NN
A67375	80	29	;	;	,
A67375	80	30	and	and	CC
A67375	80	31	therefore	therefore	RB
A67375	80	32	,	,	,
A67375	80	33	the	the	DT
A67375	80	34	Hypothenuse	Hypothenuse	NNP
A67375	80	35	of	of	IN
A67375	80	36	a	a	DT
A67375	80	37	Right	right	RB
A67375	80	38	-	-	HYPH
A67375	80	39	angled	angle	VBN
A67375	80	40	Triangle	Triangle	NNP
A67375	80	41	SRa	SRa	NNP
A67375	80	42	.	.	.
A67375	81	1	7	7	LS
A67375	81	2	.	.	.
A67375	82	1	And	and	CC
A67375	82	2	consequently	consequently	RB
A67375	82	3	,	,	,
A67375	82	4	this	this	DT
A67375	82	5	Cono	Cono	NNP
A67375	82	6	-	-	HYPH
A67375	82	7	Cuneus	Cuneus	NNP
A67375	82	8	is	be	VBZ
A67375	82	9	equal	equal	JJ
A67375	82	10	to	to	IN
A67375	82	11	half	half	PDT
A67375	82	12	a	a	DT
A67375	82	13	Quadrantal	Quadrantal	NNP
A67375	82	14	Cylinder	Cylinder	NNP
A67375	82	15	of	of	IN
A67375	82	16	the	the	DT
A67375	82	17	same	same	JJ
A67375	82	18	Base	Base	NNP
A67375	82	19	and	and	CC
A67375	82	20	Altitude	Altitude	NNP
A67375	82	21	:	:	:
A67375	82	22	For	for	IN
A67375	82	23	every	every	DT
A67375	82	24	of	of	IN
A67375	82	25	the	the	DT
A67375	82	26	Triangles	Triangles	NNPS
A67375	82	27	SRa	SRa	NNP
A67375	82	28	in	in	IN
A67375	82	29	the	the	DT
A67375	82	30	Cono	Cono	NNP
A67375	82	31	-	-	HYPH
A67375	82	32	Cuneus	Cuneus	NNP
A67375	82	33	,	,	,
A67375	82	34	being	be	VBG
A67375	82	35	half	half	PDT
A67375	82	36	the	the	DT
A67375	82	37	respective	respective	JJ
A67375	82	38	Rectangle	Rectangle	NNP
A67375	82	39	in	in	IN
A67375	82	40	the	the	DT
A67375	82	41	Cylinder	Cylinder	NNP
A67375	82	42	,	,	,
A67375	82	43	the	the	DT
A67375	82	44	whole	whole	NN
A67375	82	45	of	of	IN
A67375	82	46	That	that	DT
A67375	82	47	will	will	MD
A67375	82	48	be	be	VB
A67375	82	49	equal	equal	JJ
A67375	82	50	to	to	IN
A67375	82	51	the	the	DT
A67375	82	52	half	half	NN
A67375	82	53	of	of	IN
A67375	82	54	This	this	DT
A67375	82	55	.	.	.
A67375	83	1	8	8	LS
A67375	83	2	.	.	.
A67375	84	1	The	the	DT
A67375	84	2	Quantities	Quantities	NNPS
A67375	84	3	therein	therein	RB
A67375	84	4	I	-PRON-	PRP
A67375	84	5	thus	thus	RB
A67375	84	6	design	design	VBP
A67375	84	7	in	in	IN
A67375	84	8	Species	Species	NNP
A67375	84	9	.	.	.
A67375	85	1	9	9	CD
A67375	85	2	.	.	.
A67375	86	1	These	these	DT
A67375	86	2	Triangles	triangle	NNS
A67375	86	3	;	;	:
A67375	86	4	(	(	-LRB-
A67375	86	5	if	if	IN
A67375	86	6	made	make	VBN
A67375	86	7	by	by	IN
A67375	86	8	Plains	Plains	NNPS
A67375	86	9	set	set	VBN
A67375	86	10	at	at	IN
A67375	86	11	equal	equal	JJ
A67375	86	12	distances	distance	NNS
A67375	86	13	)	)	-RRB-
A67375	86	14	projected	project	VBD
A67375	86	15	on	on	IN
A67375	86	16	the	the	DT
A67375	86	17	Plain	Plain	NNP
A67375	86	18	CQA	CQA	NNP
A67375	86	19	to	to	TO
A67375	86	20	which	which	WDT
A67375	86	21	they	-PRON-	PRP
A67375	86	22	are	be	VBP
A67375	86	23	parallel	parallel	JJ
A67375	86	24	,	,	,
A67375	86	25	will	will	MD
A67375	86	26	appear	appear	VB
A67375	86	27	as	as	IN
A67375	86	28	in	in	IN
A67375	86	29	the	the	DT
A67375	86	30	first	first	JJ
A67375	86	31	Projection	Projection	NNP
A67375	86	32	,	,	,
A67375	86	33	Fig	Fig	NNP
A67375	86	34	.	.	.
A67375	87	1	16	16	CD
A67375	87	2	.	.	.
A67375	87	3	which	which	WDT
A67375	87	4	is	be	VBZ
A67375	87	5	thus	thus	RB
A67375	87	6	drawn	draw	VBN
A67375	87	7	:	:	:
A67375	87	8	Having	have	VBG
A67375	87	9	drawn	draw	VBN
A67375	87	10	a	a	DT
A67375	87	11	Triangle	Triangle	NNP
A67375	87	12	ACQ	ACQ	NNP
A67375	87	13	,	,	,
A67375	87	14	like	like	UH
A67375	87	15	and	and	CC
A67375	87	16	equal	equal	JJ
A67375	87	17	to	to	IN
A67375	87	18	that	that	DT
A67375	87	19	in	in	IN
A67375	87	20	the	the	DT
A67375	87	21	Solid	Solid	NNP
A67375	87	22	,	,	,
A67375	87	23	and	and	CC
A67375	87	24	CQD	CQD	NNP
A67375	87	25	the	the	DT
A67375	87	26	Quadrant	Quadrant	NNP
A67375	87	27	of	of	IN
A67375	87	28	a	a	DT
A67375	87	29	Circle	Circle	NNP
A67375	87	30	,	,	,
A67375	87	31	let	let	VB
A67375	87	32	CD	cd	NN
A67375	87	33	be	be	VB
A67375	87	34	divided	divide	VBN
A67375	87	35	into	into	IN
A67375	87	36	any	any	DT
A67375	87	37	number	number	NN
A67375	87	38	of	of	IN
A67375	87	39	equal	equal	JJ
A67375	87	40	parts	part	NNS
A67375	87	41	at	at	IN
A67375	87	42	the	the	DT
A67375	87	43	Points	Points	NNPS
A67375	87	44	R	R	NNP
A67375	87	45	;	;	:
A67375	87	46	from	from	IN
A67375	87	47	every	every	DT
A67375	87	48	of	of	IN
A67375	87	49	which	which	WDT
A67375	87	50	,	,	,
A67375	87	51	the	the	DT
A67375	87	52	Ordinates	Ordinates	NNP
A67375	87	53	RS	RS	NNP
A67375	87	54	being	be	VBG
A67375	87	55	drawn	draw	VBN
A67375	87	56	,	,	,
A67375	87	57	take	take	VB
A67375	87	58	equal	equal	JJ
A67375	87	59	thereunto	thereunto	NNS
A67375	87	60	,	,	,
A67375	87	61	in	in	IN
A67375	87	62	the	the	DT
A67375	87	63	Line	Line	NNP
A67375	87	64	CQ	CQ	NNP
A67375	87	65	,	,	,
A67375	87	66	the	the	DT
A67375	87	67	Lines	line	NNS
A67375	87	68	Cs	cs	VBP
A67375	87	69	,	,	,
A67375	87	70	or	or	CC
A67375	87	71	Rs	r	NNS
A67375	87	72	;	;	:
A67375	87	73	then	then	RB
A67375	87	74	joining	join	VBG
A67375	87	75	As	as	IN
A67375	87	76	,	,	,
A67375	87	77	the	the	DT
A67375	87	78	Triangles	Triangles	NNPS
A67375	87	79	sRA	sra	NN
A67375	87	80	or	or	CC
A67375	87	81	sCA	sca	NN
A67375	87	82	in	in	IN
A67375	87	83	this	this	DT
A67375	87	84	Plain	Plain	NNP
A67375	87	85	,	,	,
A67375	87	86	represent	represent	VB
A67375	87	87	the	the	DT
A67375	87	88	like	like	JJ
A67375	87	89	Triangles	Triangles	NNP
A67375	87	90	SRA	SRA	NNP
A67375	87	91	in	in	IN
A67375	87	92	the	the	DT
A67375	87	93	Solid	Solid	NNP
A67375	87	94	.	.	.
A67375	88	1	10	10	CD
A67375	88	2	.	.	.
A67375	89	1	And	and	CC
A67375	89	2	if	if	IN
A67375	89	3	we	-PRON-	PRP
A67375	89	4	suppose	suppose	VBP
A67375	89	5	the	the	DT
A67375	89	6	Solid	Solid	NNPS
A67375	89	7	to	to	TO
A67375	89	8	be	be	VB
A67375	89	9	continued	continue	VBN
A67375	89	10	downward	downward	RB
A67375	89	11	,	,	,
A67375	89	12	beyond	beyond	IN
A67375	89	13	its	-PRON-	PRP$
A67375	89	14	Quadrantal	Quadrantal	NNP
A67375	89	15	Base	Base	NNP
A67375	89	16	,	,	,
A67375	89	17	these	these	DT
A67375	89	18	Triangles	triangle	NNS
A67375	89	19	must	must	MD
A67375	89	20	be	be	VB
A67375	89	21	so	so	RB
A67375	89	22	continued	continue	VBN
A67375	89	23	also	also	RB
A67375	89	24	:	:	:
A67375	89	25	And	and	CC
A67375	89	26	the	the	DT
A67375	89	27	like	like	JJ
A67375	89	28	,	,	,
A67375	89	29	if	if	IN
A67375	89	30	we	-PRON-	PRP
A67375	89	31	suppose	suppose	VBP
A67375	89	32	it	-PRON-	PRP
A67375	89	33	to	to	TO
A67375	89	34	be	be	VB
A67375	89	35	continued	continue	VBN
A67375	89	36	upward	upward	RB
A67375	89	37	,	,	,
A67375	89	38	(	(	-LRB-
A67375	89	39	after	after	IN
A67375	89	40	a	a	DT
A67375	89	41	decussation	decussation	NN
A67375	89	42	in	in	IN
A67375	89	43	AB	AB	NNP
A67375	89	44	)	)	-RRB-
A67375	89	45	as	as	IN
A67375	89	46	in	in	IN
A67375	89	47	opposite	opposite	JJ
A67375	89	48	Cones	Cones	NNP
A67375	89	49	.	.	.
A67375	90	1	11	11	CD
A67375	90	2	.	.	.
A67375	91	1	The	the	DT
A67375	91	2	Quantities	Quantities	NNPS
A67375	91	3	,	,	,
A67375	91	4	in	in	IN
A67375	91	5	this	this	DT
A67375	91	6	Projection	Projection	NNP
A67375	91	7	,	,	,
A67375	91	8	I	-PRON-	PRP
A67375	91	9	design	design	VBP
A67375	91	10	thus	thus	RB
A67375	91	11	,	,	,
A67375	91	12	in	in	IN
A67375	91	13	Species	Species	NNP
A67375	91	14	.	.	.
A67375	92	1	12	12	CD
A67375	92	2	.	.	.
A67375	93	1	In	in	IN
A67375	93	2	Numbers	number	NNS
A67375	93	3	thus	thus	RB
A67375	93	4	;	;	:
A67375	93	5	(	(	-LRB-
A67375	93	6	putting	put	VBG
A67375	93	7	R	r	NN
A67375	93	8	=	=	SYM
A67375	93	9	1	1	CD
A67375	93	10	.	.	.
A67375	94	1	A	a	DT
A67375	94	2	=	=	SYM
A67375	94	3	2	2	CD
A67375	94	4	.	.	.
A67375	94	5	)	)	-RRB-
A67375	95	1	CR	CR	NNP
A67375	95	2	.	.	.
A67375	96	1	Cs	cs	UH
A67375	96	2	.	.	.
A67375	97	1	As	as	IN
A67375	97	2	.	.	.
A67375	98	1	0	0	NFP
A67375	98	2	.	.	.
A67375	99	1	1	1	LS
A67375	99	2	.	.	.
A67375	100	1	2	2	LS
A67375	100	2	.	.	.
A67375	101	1	236	236	CD
A67375	101	2	+	+	CD
A67375	101	3	0.125	0.125	CD
A67375	101	4	0	0	CD
A67375	101	5	.	.	.
A67375	102	1	992	992	CD
A67375	102	2	+	+	SYM
A67375	102	3	2.233	2.233	CD
A67375	102	4	−	−	NNP
A67375	102	5	0.25	0.25	CD
A67375	102	6	0	0	CD
A67375	102	7	.	.	.
A67375	103	1	968	968	CD
A67375	103	2	+	+	SYM
A67375	103	3	2	2	CD
A67375	103	4	.	.	.
A67375	104	1	222	222	CD
A67375	104	2	+	+	SYM
A67375	104	3	0.375	0.375	CD
A67375	104	4	0.927	0.927	CD
A67375	104	5	−	−	NNP
A67375	104	6	2	2	CD
A67375	104	7	.	.	.
A67375	105	1	204	204	CD
A67375	105	2	+	+	CD
A67375	105	3	0.5	0.5	CD
A67375	105	4	0	0	CD
A67375	105	5	.	.	.
A67375	106	1	866	866	CD
A67375	106	2	+	+	SYM
A67375	106	3	2	2	CD
A67375	106	4	.	.	.
A67375	107	1	179	179	CD
A67375	107	2	+	+	SYM
A67375	107	3	0.625	0.625	CD
A67375	107	4	0.781	0.781	CD
A67375	107	5	−	−	NNP
A67375	107	6	2.147	2.147	CD
A67375	107	7	−	−	NNP
A67375	107	8	0.75	0.75	CD
A67375	107	9	0	0	CD
A67375	107	10	.	.	.
A67375	108	1	661	661	CD
A67375	108	2	+	+	SYM
A67375	108	3	2	2	CD
A67375	108	4	.	.	.
A67375	109	1	106	106	CD
A67375	109	2	+	+	SYM
A67375	109	3	0.875	0.875	CD
A67375	109	4	0	0	CD
A67375	109	5	.	.	.
A67375	110	1	484	484	CD
A67375	110	2	+	+	CD
A67375	110	3	2.058	2.058	CD
A67375	110	4	−	−	NNP
A67375	110	5	1	1	CD
A67375	110	6	.	.	.
A67375	111	1	0	0	NFP
A67375	111	2	.	.	.
A67375	112	1	2	2	LS
A67375	112	2	.	.	.
A67375	113	1	13	13	CD
A67375	113	2	.	.	.
A67375	114	1	Secondly	secondly	RB
A67375	114	2	;	;	:
A67375	114	3	If	if	IN
A67375	114	4	it	-PRON-	PRP
A67375	114	5	be	be	VB
A67375	114	6	cut	cut	VBN
A67375	114	7	by	by	IN
A67375	114	8	Edq	Edq	NNP
A67375	114	9	,	,	,
A67375	114	10	a	a	DT
A67375	114	11	Plain	plain	JJ
A67375	114	12	parallel	parallel	NN
A67375	114	13	to	to	IN
A67375	114	14	the	the	DT
A67375	114	15	Quadrantal	Quadrantal	NNP
A67375	114	16	Base	Base	NNP
A67375	114	17	CDQ	CDQ	NNP
A67375	114	18	,	,	,
A67375	114	19	Fig	Fig	NNP
A67375	114	20	.	.	.
A67375	115	1	1	1	LS
A67375	115	2	.	.	.
A67375	115	3	the	the	DT
A67375	115	4	Curve	Curve	NNP
A67375	115	5	Line	Line	NNP
A67375	115	6	dσq	dσq	NNP
A67375	115	7	will	will	MD
A67375	115	8	be	be	VB
A67375	115	9	an	an	DT
A67375	115	10	Ellipse	Ellipse	NNP
A67375	115	11	:	:	:
A67375	115	12	For	for	IN
A67375	115	13	(	(	-LRB-
A67375	115	14	supposing	suppose	VBG
A67375	115	15	this	this	DT
A67375	115	16	Plain	Plain	NNP
A67375	115	17	to	to	TO
A67375	115	18	be	be	VB
A67375	115	19	cut	cut	VBN
A67375	115	20	in	in	IN
A67375	115	21	ρσ	ρσ	NN
A67375	115	22	by	by	IN
A67375	115	23	RSa	RSa	NNS
A67375	115	24	,	,	,
A67375	115	25	any	any	DT
A67375	115	26	of	of	IN
A67375	115	27	those	those	DT
A67375	115	28	Triangles	triangle	NNS
A67375	115	29	parallel	parallel	JJ
A67375	115	30	to	to	IN
A67375	115	31	CQA	CQA	NNP
A67375	115	32	;	;	:
A67375	115	33	)	)	-RRB-
A67375	115	34	then	then	RB
A67375	115	35	is	be	VBZ
A67375	115	36	,	,	,
A67375	115	37	As	as	IN
A67375	115	38	AC	AC	NNP
A67375	115	39	to	to	IN
A67375	115	40	AE	AE	NNP
A67375	115	41	,	,	,
A67375	115	42	or	or	CC
A67375	115	43	aR	aR	NNP
A67375	115	44	to	to	TO
A67375	115	45	aρ	aρ	VB
A67375	115	46	;	;	:
A67375	115	47	So	so	RB
A67375	115	48	CQ	CQ	NNP
A67375	115	49	to	to	IN
A67375	115	50	Eq	Eq	NNP
A67375	115	51	,	,	,
A67375	115	52	and	and	CC
A67375	115	53	RS	RS	NNP
A67375	115	54	to	to	IN
A67375	115	55	ρσ	ρσ	NNP
A67375	115	56	.	.	.
A67375	116	1	And	and	CC
A67375	116	2	consequently	consequently	RB
A67375	116	3	(	(	-LRB-
A67375	116	4	the	the	DT
A67375	116	5	Ordinates	Ordinates	NNPS
A67375	116	6	ρσ	ρσ	NN
A67375	116	7	being	be	VBG
A67375	116	8	proportional	proportional	JJ
A67375	116	9	to	to	IN
A67375	116	10	RS	RS	NNP
A67375	116	11	the	the	DT
A67375	116	12	Ordinates	Ordinates	NNPS
A67375	116	13	of	of	IN
A67375	116	14	a	a	DT
A67375	116	15	Circle	Circle	NNP
A67375	116	16	)	)	-RRB-
A67375	116	17	Edq	Edq	NNP
A67375	116	18	will	will	MD
A67375	116	19	be	be	VB
A67375	116	20	the	the	DT
A67375	116	21	Quadrant	Quadrant	NNP
A67375	116	22	of	of	IN
A67375	116	23	an	an	DT
A67375	116	24	Ellipse	Ellipse	NNP
A67375	116	25	,	,	,
A67375	116	26	as	as	IN
A67375	116	27	CDQ	CDQ	NNP
A67375	116	28	is	be	VBZ
A67375	116	29	of	of	IN
A67375	116	30	a	a	DT
A67375	116	31	Circle	Circle	NNP
A67375	116	32	.	.	.
A67375	117	1	14	14	CD
A67375	117	2	.	.	.
A67375	118	1	The	the	DT
A67375	118	2	Quantities	Quantities	NNPS
A67375	118	3	I	-PRON-	PRP
A67375	118	4	thus	thus	RB
A67375	118	5	design	design	VBP
A67375	118	6	in	in	IN
A67375	118	7	Species	Species	NNP
A67375	118	8	.	.	.
A67375	119	1	15	15	CD
A67375	119	2	.	.	.
A67375	120	1	These	these	DT
A67375	120	2	Ellipses	ellipsis	NNS
A67375	120	3	(	(	-LRB-
A67375	120	4	if	if	IN
A67375	120	5	cut	cut	VBN
A67375	120	6	off	off	RP
A67375	120	7	by	by	IN
A67375	120	8	Plains	Plains	NNPS
A67375	120	9	set	set	VBD
A67375	120	10	at	at	IN
A67375	120	11	equal	equal	JJ
A67375	120	12	distances	distance	NNS
A67375	120	13	)	)	-RRB-
A67375	120	14	projected	project	VBD
A67375	120	15	on	on	IN
A67375	120	16	the	the	DT
A67375	120	17	Quadrant	Quadrant	NNP
A67375	120	18	CDQ	CDQ	NNP
A67375	120	19	(	(	-LRB-
A67375	120	20	to	to	TO
A67375	120	21	which	which	WDT
A67375	120	22	they	-PRON-	PRP
A67375	120	23	are	be	VBP
A67375	120	24	parallel	parallel	JJ
A67375	120	25	)	)	-RRB-
A67375	120	26	will	will	MD
A67375	120	27	appear	appear	VB
A67375	120	28	as	as	IN
A67375	120	29	in	in	IN
A67375	120	30	the	the	DT
A67375	120	31	second	second	JJ
A67375	120	32	Projection	Projection	NNP
A67375	120	33	,	,	,
A67375	120	34	Fig	Fig	NNP
A67375	120	35	.	.	.
A67375	121	1	17	17	CD
A67375	121	2	.	.	.
A67375	121	3	which	which	WDT
A67375	121	4	is	be	VBZ
A67375	121	5	thus	thus	RB
A67375	121	6	drawn	draw	VBN
A67375	121	7	:	:	:
A67375	121	8	Having	have	VBG
A67375	121	9	drawn	draw	VBN
A67375	121	10	a	a	DT
A67375	121	11	Quadrant	quadrant	JJ
A67375	121	12	CDQ	CDQ	NNP
A67375	121	13	equal	equal	JJ
A67375	121	14	to	to	IN
A67375	121	15	that	that	DT
A67375	121	16	in	in	IN
A67375	121	17	the	the	DT
A67375	121	18	Solid	Solid	NNP
A67375	121	19	,	,	,
A67375	121	20	let	let	VB
A67375	121	21	CQ	CQ	NNP
A67375	121	22	be	be	VB
A67375	121	23	divided	divide	VBN
A67375	121	24	into	into	IN
A67375	121	25	any	any	DT
A67375	121	26	number	number	NN
A67375	121	27	of	of	IN
A67375	121	28	equal	equal	JJ
A67375	121	29	parts	part	NNS
A67375	121	30	at	at	IN
A67375	121	31	the	the	DT
A67375	121	32	Points	Points	NNP
A67375	121	33	q	q	NNP
A67375	121	34	,	,	,
A67375	121	35	and	and	CC
A67375	121	36	every	every	DT
A67375	121	37	of	of	IN
A67375	121	38	the	the	DT
A67375	121	39	Ordinates	ordinates	JJ
A67375	121	40	RS	RS	NNP
A67375	121	41	(	(	-LRB-
A67375	121	42	parallel	parallel	JJ
A67375	121	43	thereunto	thereunto	NNS
A67375	121	44	)	)	-RRB-
A67375	121	45	at	at	IN
A67375	121	46	the	the	DT
A67375	121	47	Points	Points	NNPS
A67375	121	48	σ	σ	NN
A67375	121	49	;	;	:
A67375	121	50	through	through	IN
A67375	121	51	which	which	WDT
A67375	121	52	,	,	,
A67375	121	53	if	if	IN
A67375	121	54	we	-PRON-	PRP
A67375	121	55	draw	draw	VBP
A67375	121	56	the	the	DT
A67375	121	57	Ellipses	Ellipses	NNP
A67375	121	58	Dσq	Dσq	NNP
A67375	121	59	,	,	,
A67375	121	60	these	these	DT
A67375	121	61	in	in	IN
A67375	121	62	the	the	DT
A67375	121	63	Plain	Plain	NNP
A67375	121	64	will	will	MD
A67375	121	65	represent	represent	VB
A67375	121	66	the	the	DT
A67375	121	67	like	like	JJ
A67375	121	68	Ellipses	Ellipses	NNP
A67375	121	69	dσq	dσq	NNP
A67375	121	70	in	in	IN
A67375	121	71	the	the	DT
A67375	121	72	Solid	Solid	NNP
A67375	121	73	.	.	.
A67375	122	1	16	16	CD
A67375	122	2	.	.	.
A67375	123	1	If	if	IN
A67375	123	2	the	the	DT
A67375	123	3	Solid	Solid	NNPS
A67375	123	4	be	be	VB
A67375	123	5	supposed	suppose	VBN
A67375	123	6	to	to	TO
A67375	123	7	be	be	VB
A67375	123	8	continued	continue	VBN
A67375	123	9	downward	downward	RB
A67375	123	10	below	below	IN
A67375	123	11	its	-PRON-	PRP$
A67375	123	12	Quadrantal	Quadrantal	NNP
A67375	123	13	Base	Base	NNP
A67375	123	14	CDQ	CDQ	NNP
A67375	123	15	,	,	,
A67375	123	16	the	the	DT
A67375	123	17	parallel	parallel	JJ
A67375	123	18	Sections	section	NNS
A67375	123	19	will	will	MD
A67375	123	20	yet	yet	RB
A67375	123	21	be	be	VB
A67375	123	22	Ellipses	ellipsis	NNS
A67375	123	23	:	:	:
A67375	123	24	But	but	CC
A67375	123	25	with	with	IN
A67375	123	26	this	this	DT
A67375	123	27	difference	difference	NN
A67375	123	28	;	;	:
A67375	123	29	CD	cd	NN
A67375	123	30	,	,	,
A67375	123	31	which	which	WDT
A67375	123	32	is	be	VBZ
A67375	123	33	now	now	RB
A67375	123	34	half	half	PDT
A67375	123	35	the	the	DT
A67375	123	36	longest	long	JJS
A67375	123	37	Diameter	Diameter	NNP
A67375	123	38	,	,	,
A67375	123	39	will	will	MD
A67375	123	40	then	then	RB
A67375	123	41	be	be	VB
A67375	123	42	half	half	PDT
A67375	123	43	the	the	DT
A67375	123	44	shortest	short	JJS
A67375	123	45	Diameter	Diameter	NNP
A67375	123	46	of	of	IN
A67375	123	47	the	the	DT
A67375	123	48	Ellipse	Ellipse	NNP
A67375	123	49	,	,	,
A67375	123	50	(	(	-LRB-
A67375	123	51	such	such	JJ
A67375	123	52	as	as	IN
A67375	123	53	are	be	VBP
A67375	123	54	those	those	DT
A67375	123	55	in	in	IN
A67375	123	56	Fig	Fig	NNP
A67375	123	57	.	.	.
A67375	124	1	17	17	CD
A67375	124	2	.	.	.
A67375	124	3	beyond	beyond	IN
A67375	124	4	the	the	DT
A67375	124	5	Circular	Circular	NNP
A67375	124	6	Quadrant	Quadrant	NNP
A67375	124	7	DQ	DQ	NNP
A67375	124	8	:	:	:
A67375	124	9	)	)	-RRB-
A67375	124	10	And	and	CC
A67375	124	11	if	if	IN
A67375	124	12	the	the	DT
A67375	124	13	Solid	Solid	NNPS
A67375	124	14	be	be	VB
A67375	124	15	continued	continue	VBN
A67375	124	16	upward	upward	RB
A67375	124	17	,	,	,
A67375	124	18	after	after	IN
A67375	124	19	a	a	DT
A67375	124	20	decussation	decussation	NN
A67375	124	21	in	in	IN
A67375	124	22	AB	AB	NNP
A67375	124	23	,	,	,
A67375	124	24	the	the	DT
A67375	124	25	like	like	JJ
A67375	124	26	Ellipses	Ellipses	NNP
A67375	124	27	will	will	MD
A67375	124	28	occur	occur	VB
A67375	124	29	in	in	IN
A67375	124	30	the	the	DT
A67375	124	31	opposite	opposite	JJ
A67375	124	32	Solid	Solid	NNP
A67375	124	33	as	as	IN
A67375	124	34	in	in	IN
A67375	124	35	this	this	DT
A67375	124	36	.	.	.
A67375	125	1	17	17	CD
A67375	125	2	.	.	.
A67375	126	1	The	the	DT
A67375	126	2	Quantities	Quantities	NNPS
A67375	126	3	in	in	IN
A67375	126	4	this	this	DT
A67375	126	5	Projection	Projection	NNP
A67375	126	6	I	-PRON-	PRP
A67375	126	7	thus	thus	RB
A67375	126	8	design	design	VBP
A67375	126	9	in	in	IN
A67375	126	10	Species	Species	NNP
A67375	126	11	.	.	.
A67375	127	1	18	18	CD
A67375	127	2	.	.	.
A67375	128	1	In	in	IN
A67375	128	2	Numbers	number	NNS
A67375	128	3	thus	thus	RB
A67375	128	4	;	;	:
A67375	128	5	(	(	-LRB-
A67375	128	6	putting	put	VBG
A67375	128	7	R	r	NN
A67375	128	8	=	=	SYM
A67375	128	9	1	1	CD
A67375	128	10	,	,	,
A67375	128	11	A	a	NN
A67375	128	12	=	=	SYM
A67375	128	13	2	2	CD
A67375	128	14	.	.	.
A67375	128	15	)	)	-RRB-
A67375	129	1	EQ	EQ	NNP
A67375	129	2	.	.	.
A67375	130	1	ρσ	ρσ	NNP
A67375	130	2	.	.	.
A67375	131	1	ρσ	ρσ	NNP
A67375	131	2	.	.	.
A67375	132	1	ρσ	ρσ	NNP
A67375	132	2	.	.	.
A67375	133	1	0.25	0.25	CD
A67375	133	2	0	0	CD
A67375	133	3	.	.	.
A67375	134	1	242	242	CD
A67375	134	2	+	+	SYM
A67375	134	3	0.217	0.217	CD
A67375	134	4	−	−	NNP
A67375	134	5	0	0	CD
A67375	134	6	.	.	.
A67375	135	1	165	165	CD
A67375	135	2	+	+	CD
A67375	135	3	0.5	0.5	CD
A67375	135	4	0	0	CD
A67375	135	5	.	.	.
A67375	136	1	484	484	CD
A67375	136	2	+	+	SYM
A67375	136	3	0	0	CD
A67375	136	4	.	.	.
A67375	137	1	433	433	CD
A67375	137	2	+	+	SYM
A67375	137	3	0.331	0.331	CD
A67375	137	4	−	−	NNP
A67375	137	5	0.75	0.75	CD
A67375	137	6	0	0	CD
A67375	137	7	.	.	.
A67375	138	1	726	726	CD
A67375	138	2	+	+	SYM
A67375	138	3	0.650	0.650	CD
A67375	138	4	−	−	NNP
A67375	138	5	0	0	CD
A67375	138	6	.	.	.
A67375	139	1	496	496	CD
A67375	139	2	+	+	SYM
A67375	139	3	1	1	CD
A67375	139	4	.	.	.
A67375	140	1	0	0	NFP
A67375	140	2	.	.	.
A67375	141	1	968	968	CD
A67375	141	2	+	+	SYM
A67375	141	3	0	0	CD
A67375	141	4	.	.	.
A67375	142	1	866	866	CD
A67375	142	2	+	+	SYM
A67375	142	3	0	0	CD
A67375	142	4	.	.	.
A67375	143	1	661	661	CD
A67375	143	2	+	+	SYM
A67375	143	3	1.25	1.25	CD
A67375	143	4	1	1	CD
A67375	143	5	.	.	.
A67375	144	1	210	210	CD
A67375	144	2	+	+	SYM
A67375	144	3	1.083	1.083	CD
A67375	144	4	−	−	NNP
A67375	144	5	0.827	0.827	CD
A67375	144	6	−	−	NNP
A67375	144	7	1.5	1.5	CD
A67375	144	8	1	1	CD
A67375	144	9	.	.	.
A67375	145	1	452	452	CD
A67375	145	2	+	+	SYM
A67375	145	3	1	1	CD
A67375	145	4	.	.	.
A67375	146	1	299	299	CD
A67375	146	2	+	+	SYM
A67375	146	3	0	0	CD
A67375	146	4	.	.	.
A67375	147	1	992	992	CD
A67375	147	2	+	+	SYM
A67375	147	3	1.75	1.75	CD
A67375	147	4	1	1	CD
A67375	147	5	.	.	.
A67375	148	1	694	694	CD
A67375	148	2	+	+	SYM
A67375	148	3	1.516	1.516	CD
A67375	148	4	−	−	NNP
A67375	148	5	1	1	CD
A67375	148	6	.	.	.
A67375	149	1	157	157	CD
A67375	149	2	+	+	SYM
A67375	149	3	2	2	CD
A67375	149	4	.	.	.
A67375	150	1	1	1	LS
A67375	150	2	.	.	.
A67375	151	1	936	936	CD
A67375	151	2	+	+	SYM
A67375	151	3	1	1	CD
A67375	151	4	.	.	.
A67375	152	1	732	732	CD
A67375	152	2	+	+	SYM
A67375	152	3	1.323	1.323	CD
A67375	152	4	−	−	NNP
A67375	152	5	19	19	CD
A67375	152	6	.	.	.
A67375	153	1	Thirdly	thirdly	RB
A67375	153	2	;	;	:
A67375	153	3	If	if	IN
A67375	153	4	it	-PRON-	PRP
A67375	153	5	be	be	VB
A67375	153	6	cut	cut	VBN
A67375	153	7	by	by	IN
A67375	153	8	cΣσq	cΣσq	NNP
A67375	153	9	,	,	,
A67375	153	10	a	a	DT
A67375	153	11	Plain	Plain	NNP
A67375	153	12	parallel	parallel	NN
A67375	153	13	to	to	IN
A67375	153	14	the	the	DT
A67375	153	15	Rectangle	Rectangle	NNP
A67375	153	16	CDBA	CDBA	NNP
A67375	153	17	,	,	,
A67375	153	18	Fig	Fig	NNP
A67375	153	19	.	.	.
A67375	154	1	2	2	LS
A67375	154	2	.	.	.
A67375	154	3	the	the	DT
A67375	154	4	Curve	Curve	NNP
A67375	154	5	Line	Line	NNP
A67375	154	6	will	will	MD
A67375	154	7	have	have	VB
A67375	154	8	this	this	DT
A67375	154	9	property	property	NN
A67375	154	10	:	:	:
A67375	154	11	Drawing	draw	VBG
A67375	154	12	the	the	DT
A67375	154	13	Triangles	Triangles	NNPS
A67375	154	14	as	as	IN
A67375	154	15	in	in	IN
A67375	154	16	the	the	DT
A67375	154	17	Scheme	Scheme	NNP
A67375	154	18	,	,	,
A67375	154	19	it	-PRON-	PRP
A67375	154	20	is	be	VBZ
A67375	154	21	,	,	,
A67375	154	22	As	as	IN
A67375	154	23	SR	SR	NNP
A67375	154	24	(	(	-LRB-
A67375	154	25	the	the	DT
A67375	154	26	Ordinate	Ordinate	NNP
A67375	154	27	from	from	IN
A67375	154	28	any	any	DT
A67375	154	29	Point	Point	NNP
A67375	154	30	S	S	NNP
A67375	154	31	in	in	IN
A67375	154	32	the	the	DT
A67375	154	33	Arch	Arch	NNP
A67375	154	34	ΣQ	ΣQ	NNP
A67375	154	35	)	)	-RRB-
A67375	154	36	to	to	TO
A67375	154	37	σρ	σρ	VB
A67375	154	38	,	,	,
A67375	154	39	or	or	CC
A67375	154	40	Σ	Σ	NNP
A67375	154	41	●	●	.
A67375	154	42	(	(	-LRB-
A67375	154	43	the	the	DT
A67375	154	44	Ordinate	Ordinate	NNP
A67375	154	45	from	from	IN
A67375	154	46	Σ	Σ	NNP
A67375	154	47	,	,	,
A67375	154	48	where	where	WRB
A67375	154	49	the	the	DT
A67375	154	50	Plain	plain	JJ
A67375	154	51	cΣq	cΣq	NNS
A67375	154	52	cuts	cut	VBZ
A67375	154	53	the	the	DT
A67375	154	54	Quadrantal	Quadrantal	NNP
A67375	154	55	Arch	Arch	NNP
A67375	154	56	)	)	-RRB-
A67375	154	57	:	:	:
A67375	154	58	So	so	CC
A67375	154	59	is	be	VBZ
A67375	154	60	aR	aR	NNP
A67375	154	61	or	or	CC
A67375	154	62	AC	AC	NNP
A67375	154	63	(	(	-LRB-
A67375	154	64	the	the	DT
A67375	154	65	whole	whole	JJ
A67375	154	66	height	height	NN
A67375	154	67	)	)	-RRB-
A67375	154	68	,	,	,
A67375	154	69	to	to	TO
A67375	154	70	aρ	aρ	NNP
A67375	154	71	or	or	CC
A67375	154	72	ασ	ασ	VB
A67375	154	73	(	(	-LRB-
A67375	154	74	the	the	DT
A67375	154	75	distance	distance	NN
A67375	154	76	of	of	IN
A67375	154	77	the	the	DT
A67375	154	78	Point	Point	NNP
A67375	154	79	σ	σ	NNP
A67375	154	80	from	from	IN
A67375	154	81	the	the	DT
A67375	154	82	Plain	Plain	NNP
A67375	154	83	Aaα	Aaα	NNP
A67375	154	84	parallel	parallel	NN
A67375	154	85	to	to	IN
A67375	154	86	the	the	DT
A67375	154	87	Quadrant	Quadrant	NNP
A67375	154	88	CDQ	CDQ	NNP
A67375	154	89	)	)	-RRB-
A67375	154	90	.	.	.
A67375	155	1	Because	because	IN
A67375	155	2	aRS	ar	NNS
A67375	155	3	,	,	,
A67375	155	4	aρσ	aρσ	NN
A67375	155	5	,	,	,
A67375	155	6	are	be	VBP
A67375	155	7	like	like	IN
A67375	155	8	Triangles	Triangles	NNP
A67375	155	9	.	.	.
A67375	156	1	20	20	CD
A67375	156	2	.	.	.
A67375	157	1	The	the	DT
A67375	157	2	Quantities	Quantities	NNPS
A67375	157	3	I	-PRON-	PRP
A67375	157	4	thus	thus	RB
A67375	157	5	design	design	VBP
A67375	157	6	in	in	IN
A67375	157	7	Species	Species	NNP
A67375	157	8	.	.	.
A67375	158	1	21	21	CD
A67375	158	2	.	.	.
A67375	159	1	These	these	DT
A67375	159	2	Curve	curve	NN
A67375	159	3	Lines	line	NNS
A67375	159	4	(	(	-LRB-
A67375	159	5	if	if	IN
A67375	159	6	made	make	VBN
A67375	159	7	by	by	IN
A67375	159	8	Plains	plain	NNS
A67375	159	9	at	at	IN
A67375	159	10	equal	equal	JJ
A67375	159	11	distances	distance	NNS
A67375	159	12	)	)	-RRB-
A67375	159	13	projected	project	VBD
A67375	159	14	on	on	IN
A67375	159	15	the	the	DT
A67375	159	16	Rectangle	Rectangle	NNP
A67375	159	17	CDBA	CDBA	NNP
A67375	159	18	(	(	-LRB-
A67375	159	19	to	to	TO
A67375	159	20	which	which	WDT
A67375	159	21	they	-PRON-	PRP
A67375	159	22	are	be	VBP
A67375	159	23	parallel	parallel	JJ
A67375	159	24	)	)	-RRB-
A67375	159	25	,	,	,
A67375	159	26	will	will	MD
A67375	159	27	appear	appear	VB
A67375	159	28	as	as	IN
A67375	159	29	in	in	IN
A67375	159	30	the	the	DT
A67375	159	31	third	third	JJ
A67375	159	32	Projection	Projection	NNP
A67375	159	33	,	,	,
A67375	159	34	Fig	Fig	NNP
A67375	159	35	.	.	.
A67375	160	1	18	18	CD
A67375	160	2	.	.	.
A67375	160	3	which	which	WDT
A67375	160	4	is	be	VBZ
A67375	160	5	thus	thus	RB
A67375	160	6	made	make	VBN
A67375	160	7	:	:	:
A67375	160	8	Having	have	VBG
A67375	160	9	drawn	draw	VBN
A67375	160	10	a	a	DT
A67375	160	11	Rectangle	Rectangle	NNP
A67375	160	12	CDBA	CDBA	NNP
A67375	160	13	(	(	-LRB-
A67375	160	14	like	like	UH
A67375	160	15	and	and	CC
A67375	160	16	equal	equal	JJ
A67375	160	17	to	to	IN
A67375	160	18	that	that	DT
A67375	160	19	in	in	IN
A67375	160	20	the	the	DT
A67375	160	21	Solid	Solid	NNP
A67375	160	22	)	)	-RRB-
A67375	160	23	,	,	,
A67375	160	24	and	and	CC
A67375	160	25	the	the	DT
A67375	160	26	Quadrant	quadrant	JJ
A67375	160	27	CDQ	CDQ	NNP
A67375	160	28	;	;	:
A67375	160	29	divide	divide	VBP
A67375	160	30	CQ	CQ	NNP
A67375	160	31	into	into	IN
A67375	160	32	any	any	DT
A67375	160	33	number	number	NN
A67375	160	34	of	of	IN
A67375	160	35	equal	equal	JJ
A67375	160	36	parts	part	NNS
A67375	160	37	at	at	IN
A67375	160	38	the	the	DT
A67375	160	39	Points	Points	NNPS
A67375	160	40	c	c	NNP
A67375	160	41	,	,	,
A67375	160	42	and	and	CC
A67375	160	43	draw	draw	VB
A67375	160	44	the	the	DT
A67375	160	45	Sines	Sines	NNPS
A67375	160	46	or	or	CC
A67375	160	47	Ordinates	Ordinates	NNPS
A67375	160	48	cΣ	cΣ	NNP
A67375	160	49	,	,	,
A67375	160	50	with	with	IN
A67375	160	51	the	the	DT
A67375	160	52	Co	co	NN
A67375	160	53	-	-	HYPH
A67375	160	54	sines	sin	VBZ
A67375	160	55	ΣP	ΣP	NNP
A67375	160	56	:	:	:
A67375	160	57	Then	then	RB
A67375	160	58	supposing	suppose	VBG
A67375	160	59	from	from	IN
A67375	160	60	the	the	DT
A67375	160	61	several	several	JJ
A67375	160	62	Points	point	NNS
A67375	160	63	R	R	NNP
A67375	160	64	in	in	IN
A67375	160	65	the	the	DT
A67375	160	66	Line	line	NN
A67375	160	67	●	●	NFP
A67375	160	68	D	d	NN
A67375	160	69	,	,	,
A67375	160	70	the	the	DT
A67375	160	71	Lines	line	NNS
A67375	160	72	Rσa	Rσa	NNP
A67375	160	73	parallel	parallel	NN
A67375	160	74	to	to	IN
A67375	160	75	CA	CA	NNP
A67375	160	76	,	,	,
A67375	160	77	(	(	-LRB-
A67375	160	78	cutting	cut	VBG
A67375	160	79	the	the	DT
A67375	160	80	Quadrant	Quadrant	NNP
A67375	160	81	QD	QD	NNP
A67375	160	82	at	at	IN
A67375	160	83	S	s	NN
A67375	160	84	,	,	,
A67375	160	85	and	and	CC
A67375	160	86	AB	AB	NNP
A67375	160	87	at	at	IN
A67375	160	88	a	a	DT
A67375	160	89	:	:	:
A67375	160	90	)	)	-RRB-
A67375	160	91	And	and	CC
A67375	160	92	therein	therein	RB
A67375	160	93	,	,	,
A67375	160	94	As	as	IN
A67375	160	95	RS	rs	NN
A67375	160	96	to	to	IN
A67375	160	97	PΣ	PΣ	NNP
A67375	160	98	;	;	:
A67375	160	99	So	so	RB
A67375	160	100	AC	AC	NNP
A67375	160	101	(	(	-LRB-
A67375	160	102	=	=	SYM
A67375	160	103	aR	aR	NNP
A67375	160	104	)	)	-RRB-
A67375	160	105	to	to	IN
A67375	160	106	aσ	aσ	IN
A67375	160	107	:	:	:
A67375	160	108	The	The	NNP
A67375	160	109	Curve	Curve	NNP
A67375	160	110	Lines	Lines	NNPS
A67375	160	111	qσP	qσP	NNP
A67375	160	112	in	in	IN
A67375	160	113	this	this	DT
A67375	160	114	Plain	Plain	NNP
A67375	160	115	,	,	,
A67375	160	116	represent	represent	VBP
A67375	160	117	their	-PRON-	PRP$
A67375	160	118	Respectives	respective	NNS
A67375	160	119	qσS	qσS	NFP
A67375	160	120	in	in	IN
A67375	160	121	the	the	DT
A67375	160	122	Solids	solid	NNS
A67375	160	123	.	.	.
A67375	161	1	Where	where	WRB
A67375	161	2	note	note	NN
A67375	161	3	,	,	,
A67375	161	4	That	that	IN
A67375	161	5	as	as	IN
A67375	161	6	the	the	DT
A67375	161	7	Lines	line	NNS
A67375	161	8	Sσσσ	Sσσσ	NNP
A67375	161	9	in	in	IN
A67375	161	10	the	the	DT
A67375	161	11	former	former	JJ
A67375	161	12	Projection	Projection	NNP
A67375	161	13	,	,	,
A67375	161	14	so	so	RB
A67375	161	15	are	be	VBP
A67375	161	16	the	the	DT
A67375	161	17	Lines	Lines	NNPS
A67375	161	18	aσσσ	aσσσ	NNP
A67375	161	19	in	in	IN
A67375	161	20	this	this	DT
A67375	161	21	cut	cut	NN
A67375	161	22	into	into	IN
A67375	161	23	equal	equal	JJ
A67375	161	24	parts	part	NNS
A67375	161	25	.	.	.
A67375	162	1	22	22	CD
A67375	162	2	.	.	.
A67375	163	1	As	as	IN
A67375	163	2	the	the	DT
A67375	163	3	Solid	Solid	NNPS
A67375	163	4	may	may	MD
A67375	163	5	be	be	VB
A67375	163	6	continued	continue	VBN
A67375	163	7	downwards	downwards	RB
A67375	163	8	at	at	IN
A67375	163	9	pleasure	pleasure	NN
A67375	163	10	,	,	,
A67375	163	11	beyond	beyond	IN
A67375	163	12	its	-PRON-	PRP$
A67375	163	13	Quadrantal	Quadrantal	NNP
A67375	163	14	Base	Base	NNP
A67375	163	15	CDQ	CDQ	NNP
A67375	163	16	;	;	:
A67375	163	17	so	so	RB
A67375	163	18	may	may	MD
A67375	163	19	these	these	DT
A67375	163	20	Curve	Curve	NNP
A67375	163	21	Lines	Lines	NNPS
A67375	163	22	qσP	qσP	NNP
A67375	163	23	,	,	,
A67375	163	24	in	in	IN
A67375	163	25	like	like	JJ
A67375	163	26	manner	manner	NN
A67375	163	27	,	,	,
A67375	163	28	be	be	VB
A67375	163	29	so	so	RB
A67375	163	30	continued	continue	VBN
A67375	163	31	infinitely	infinitely	RB
A67375	163	32	:	:	:
A67375	163	33	And	and	CC
A67375	163	34	they	-PRON-	PRP
A67375	163	35	will	will	MD
A67375	163	36	then	then	RB
A67375	163	37	be	be	VB
A67375	163	38	Assymptotes	Assymptotes	NNP
A67375	163	39	,	,	,
A67375	163	40	each	each	DT
A67375	163	41	to	to	IN
A67375	163	42	other	other	JJ
A67375	163	43	;	;	:
A67375	163	44	and	and	CC
A67375	163	45	to	to	IN
A67375	163	46	the	the	DT
A67375	163	47	streight	streight	JJ
A67375	163	48	Line	Line	NNP
A67375	163	49	BD	BD	NNP
A67375	163	50	so	so	RB
A67375	163	51	continued	continue	VBD
A67375	163	52	.	.	.
A67375	164	1	And	and	CC
A67375	164	2	if	if	IN
A67375	164	3	the	the	DT
A67375	164	4	Solid	Solid	NNPS
A67375	164	5	be	be	VB
A67375	164	6	continued	continue	VBN
A67375	164	7	upward	upward	RB
A67375	164	8	after	after	IN
A67375	164	9	a	a	DT
A67375	164	10	decussation	decussation	NN
A67375	164	11	in	in	IN
A67375	164	12	AB	AB	NNP
A67375	164	13	,	,	,
A67375	164	14	the	the	DT
A67375	164	15	same	same	JJ
A67375	164	16	Plains	Plains	NNPS
A67375	164	17	will	will	MD
A67375	164	18	cut	cut	VB
A67375	164	19	off	off	RP
A67375	164	20	in	in	IN
A67375	164	21	the	the	DT
A67375	164	22	opposite	opposite	JJ
A67375	164	23	Solid	solid	JJ
A67375	164	24	opposite	opposite	JJ
A67375	164	25	Sections	section	NNS
A67375	164	26	like	like	IN
A67375	164	27	to	to	IN
A67375	164	28	these	these	DT
A67375	164	29	.	.	.
A67375	165	1	23	23	CD
A67375	165	2	.	.	.
A67375	166	1	The	the	DT
A67375	166	2	Quantities	Quantities	NNPS
A67375	166	3	in	in	IN
A67375	166	4	this	this	DT
A67375	166	5	Projection	Projection	NNP
A67375	166	6	I	-PRON-	PRP
A67375	166	7	thus	thus	RB
A67375	166	8	design	design	VBP
A67375	166	9	in	in	IN
A67375	166	10	Species	Species	NNP
A67375	166	11	.	.	.
A67375	167	1	24	24	CD
A67375	167	2	.	.	.
A67375	168	1	In	in	IN
A67375	168	2	Numbers	number	NNS
A67375	168	3	thus	thus	RB
A67375	168	4	;	;	:
A67375	168	5	(	(	-LRB-
A67375	168	6	putting	put	VBG
A67375	168	7	R	r	NN
A67375	168	8	=	=	SYM
A67375	168	9	1	1	CD
A67375	168	10	,	,	,
A67375	168	11	A	a	NN
A67375	168	12	=	=	SYM
A67375	168	13	2	2	CD
A67375	168	14	.	.	.
A67375	168	15	)	)	-RRB-
A67375	169	1	A	a	DT
A67375	169	2	q.	q.	NN
A67375	169	3	a	a	DT
A67375	169	4	σ	σ	NNP
A67375	169	5	.	.	.
A67375	169	6	a	a	DT
A67375	169	7	σ	σ	NNP
A67375	169	8	.	.	.
A67375	169	9	a	a	DT
A67375	169	10	σ	σ	NNP
A67375	169	11	.	.	.
A67375	169	12	a	a	DT
A67375	169	13	σ	σ	XX
A67375	169	14	.	.	.
A67375	169	15	I.	I.	NNP
A67375	170	1	0.5	0.5	CD
A67375	170	2	0	0	CD
A67375	170	3	.	.	.
A67375	171	1	516	516	CD
A67375	171	2	+	+	SYM
A67375	171	3	0	0	CD
A67375	171	4	.	.	.
A67375	172	1	577	577	CD
A67375	172	2	+	+	SYM
A67375	172	3	0.756	0.756	CD
A67375	172	4	−	−	NNP
A67375	172	5	Infin	Infin	NNP
A67375	172	6	.	.	.
A67375	173	1	II	ii	CD
A67375	173	2	.	.	.
A67375	174	1	1	1	LS
A67375	174	2	.	.	.
A67375	175	1	1.033	1.033	CD
A67375	175	2	−	−	NNP
A67375	175	3	1.155	1.155	CD
A67375	175	4	−	−	NNP
A67375	175	5	1.512	1.512	CD
A67375	175	6	−	−	NNP
A67375	175	7	Infin	Infin	NNP
A67375	175	8	.	.	.
A67375	176	1	III	iii	CD
A67375	176	2	.	.	.
A67375	177	1	1.5	1.5	CD
A67375	177	2	1	1	CD
A67375	177	3	.	.	.
A67375	178	1	549	549	CD
A67375	178	2	+	+	SYM
A67375	178	3	1	1	CD
A67375	178	4	.	.	.
A67375	179	1	732	732	CD
A67375	179	2	+	+	SYM
A67375	179	3	2.268	2.268	CD
A67375	179	4	−	−	NNP
A67375	179	5	Infin	Infin	NNP
A67375	179	6	.	.	.
A67375	180	1	IV	IV	NNP
A67375	180	2	.	.	.
A67375	181	1	2	2	LS
A67375	181	2	.	.	.
A67375	182	1	2.064	2.064	CD
A67375	182	2	−	−	NNP
A67375	182	3	2.310	2.310	CD
A67375	182	4	−	−	NNP
A67375	182	5	3.024	3.024	CD
A67375	182	6	−	−	NNP
A67375	182	7	Infin	Infin	NNP
A67375	182	8	.	.	.
A67375	183	1	25	25	CD
A67375	183	2	.	.	.
A67375	184	1	Fourthly	fourthly	RB
A67375	184	2	;	;	:
A67375	184	3	If	if	IN
A67375	184	4	it	-PRON-	PRP
A67375	184	5	be	be	VB
A67375	184	6	cut	cut	VBN
A67375	184	7	by	by	IN
A67375	184	8	a	a	DT
A67375	184	9	Plain	Plain	NNP
A67375	184	10	CQD	CQD	NNP
A67375	184	11	,	,	,
A67375	184	12	Fig	Fig	NNP
A67375	184	13	.	.	.
A67375	185	1	3	3	LS
A67375	185	2	.	.	.
A67375	185	3	perpendicular	perpendicular	JJ
A67375	185	4	to	to	IN
A67375	185	5	the	the	DT
A67375	185	6	Rectangle	Rectangle	NNP
A67375	185	7	CDBA	CDBA	NNP
A67375	185	8	,	,	,
A67375	185	9	and	and	CC
A67375	185	10	passing	pass	VBG
A67375	185	11	by	by	IN
A67375	185	12	the	the	DT
A67375	185	13	Center	Center	NNP
A67375	185	14	C	C	NNP
A67375	185	15	and	and	CC
A67375	185	16	any	any	DT
A67375	185	17	Point	Point	NNP
A67375	185	18	d	d	NNP
A67375	185	19	in	in	IN
A67375	185	20	the	the	DT
A67375	185	21	Side	Side	NNP
A67375	185	22	DB	DB	NNP
A67375	185	23	,	,	,
A67375	185	24	the	the	DT
A67375	185	25	Curve	Curve	NNP
A67375	185	26	Line	Line	NNP
A67375	185	27	will	will	MD
A67375	185	28	have	have	VB
A67375	185	29	this	this	DT
A67375	185	30	property	property	NN
A67375	185	31	:	:	:
A67375	185	32	.	.	.
A67375	186	1	Cutting	cut	VBG
A67375	186	2	this	this	DT
A67375	186	3	Plain	Plain	NNP
A67375	186	4	in	in	IN
A67375	186	5	ρ	ρ	IN
A67375	186	6	σ	σ	NN
A67375	186	7	(	(	-LRB-
A67375	186	8	by	by	IN
A67375	186	9	any	any	DT
A67375	186	10	of	of	IN
A67375	186	11	the	the	DT
A67375	186	12	Triangles	Triangles	NNP
A67375	186	13	RSa	RSa	NNS
A67375	186	14	,	,	,
A67375	186	15	parallel	parallel	NN
A67375	186	16	to	to	IN
A67375	186	17	CQA	CQA	NNP
A67375	186	18	)	)	-RRB-
A67375	186	19	;	;	:
A67375	186	20	then	then	RB
A67375	186	21	is	be	VBZ
A67375	186	22	,	,	,
A67375	186	23	As	as	IN
A67375	186	24	AC	AC	NNP
A67375	186	25	or	or	CC
A67375	186	26	aR	aR	NNP
A67375	186	27	,	,	,
A67375	186	28	to	to	IN
A67375	186	29	a	a	DT
A67375	186	30	ρ	ρ	NN
A67375	186	31	;	;	:
A67375	186	32	So	so	RB
A67375	186	33	RS	RS	NNP
A67375	186	34	,	,	,
A67375	186	35	to	to	IN
A67375	186	36	ρ	ρ	IN
A67375	186	37	σ	σ	NN
A67375	186	38	.	.	.
A67375	187	1	The	the	DT
A67375	187	2	length	length	NN
A67375	187	3	of	of	IN
A67375	187	4	a	a	DT
A67375	187	5	ρ	ρ	NN
A67375	187	6	being	be	VBG
A67375	187	7	first	first	RB
A67375	187	8	found	find	VBN
A67375	187	9	in	in	IN
A67375	187	10	this	this	DT
A67375	187	11	manner	manner	NN
A67375	187	12	:	:	:
A67375	187	13	As	as	IN
A67375	187	14	CD	CD	NNP
A67375	187	15	to	to	IN
A67375	187	16	CR	CR	NNP
A67375	187	17	,	,	,
A67375	187	18	or	or	CC
A67375	187	19	Cd	Cd	NNP
A67375	187	20	to	to	IN
A67375	187	21	C	C	NNP
A67375	187	22	ρ	ρ	XX
A67375	187	23	;	;	:
A67375	187	24	So	so	RB
A67375	187	25	is	be	VBZ
A67375	187	26	dD	dD	NNP
A67375	187	27	to	to	TO
A67375	187	28	ρ	ρ	NN
A67375	187	29	R	r	NN
A67375	187	30	:	:	:
A67375	187	31	Which	which	WDT
A67375	187	32	subducted	subducte	VBD
A67375	187	33	from	from	IN
A67375	187	34	the	the	DT
A67375	187	35	whole	whole	JJ
A67375	187	36	height	height	NN
A67375	187	37	,	,	,
A67375	187	38	(	(	-LRB-
A67375	187	39	or	or	CC
A67375	187	40	added	add	VBN
A67375	187	41	thereunto	thereunto	NNS
A67375	187	42	,	,	,
A67375	187	43	if	if	IN
A67375	187	44	we	-PRON-	PRP
A67375	187	45	suppose	suppose	VBP
A67375	187	46	ρ	ρ	NN
A67375	187	47	to	to	TO
A67375	187	48	be	be	VB
A67375	187	49	taken	take	VBN
A67375	187	50	in	in	IN
A67375	187	51	the	the	DT
A67375	187	52	continuation	continuation	NN
A67375	187	53	of	of	IN
A67375	187	54	dC	dC	NNP
A67375	187	55	beyond	beyond	IN
A67375	187	56	C	C	NNP
A67375	187	57	)	)	-RRB-
A67375	187	58	gives	give	VBZ
A67375	187	59	the	the	DT
A67375	187	60	length	length	NN
A67375	187	61	of	of	IN
A67375	187	62	a	a	DT
A67375	187	63	ρ	ρ	NN
A67375	187	64	.	.	.
A67375	188	1	26	26	CD
A67375	188	2	.	.	.
A67375	189	1	The	the	DT
A67375	189	2	Quantities	quantity	NNS
A67375	189	3	of	of	IN
A67375	189	4	this	this	DT
A67375	189	5	Section	section	NN
A67375	189	6	I	-PRON-	PRP
A67375	189	7	thus	thus	RB
A67375	189	8	design	design	VBP
A67375	189	9	in	in	IN
A67375	189	10	Species	Species	NNP
A67375	189	11	.	.	.
A67375	190	1	27	27	CD
A67375	190	2	.	.	.
A67375	191	1	But	but	CC
A67375	191	2	if	if	IN
A67375	191	3	it	-PRON-	PRP
A67375	191	4	be	be	VB
A67375	191	5	cut	cut	VBN
A67375	191	6	by	by	IN
A67375	191	7	a	a	DT
A67375	191	8	Plain	plain	JJ
A67375	191	9	CQb	CQb	NNS
A67375	191	10	,	,	,
A67375	191	11	Fig	Fig	NNP
A67375	191	12	.	.	.
A67375	192	1	4	4	LS
A67375	192	2	.	.	.
A67375	192	3	which	which	WDT
A67375	192	4	passing	pass	VBG
A67375	192	5	by	by	IN
A67375	192	6	CQ	CQ	NNP
A67375	192	7	,	,	,
A67375	192	8	cuts	cut	VBZ
A67375	192	9	any	any	DT
A67375	192	10	Point	Point	NNP
A67375	192	11	b	b	NN
A67375	192	12	(	(	-LRB-
A67375	192	13	in	in	IN
A67375	192	14	the	the	DT
A67375	192	15	Side	Side	NNP
A67375	192	16	AB	AB	NNP
A67375	192	17	)	)	-RRB-
A67375	192	18	before	before	IN
A67375	192	19	it	-PRON-	PRP
A67375	192	20	come	come	VBP
A67375	192	21	at	at	IN
A67375	192	22	d	d	NN
A67375	192	23	in	in	IN
A67375	192	24	the	the	DT
A67375	192	25	Side	Side	NNP
A67375	192	26	DB	DB	NNP
A67375	192	27	produced	produce	VBD
A67375	192	28	;	;	:
A67375	192	29	the	the	DT
A67375	192	30	Curve	Curve	NNP
A67375	192	31	Line	Line	NNP
A67375	192	32	b	b	NNP
A67375	192	33	σ	σ	NN
A67375	192	34	Q	q	NN
A67375	192	35	will	will	MD
A67375	192	36	have	have	VB
A67375	192	37	this	this	DT
A67375	192	38	property	property	NN
A67375	192	39	:	:	:
A67375	192	40	Cutting	cut	VBG
A67375	192	41	this	this	DT
A67375	192	42	Plain	Plain	NNP
A67375	192	43	,	,	,
A67375	192	44	as	as	IN
A67375	192	45	before	before	RB
A67375	192	46	,	,	,
A67375	192	47	in	in	IN
A67375	192	48	ρ	ρ	IN
A67375	192	49	σ	σ	NN
A67375	192	50	,	,	,
A67375	192	51	by	by	IN
A67375	192	52	any	any	DT
A67375	192	53	of	of	IN
A67375	192	54	the	the	DT
A67375	192	55	Triangles	Triangles	NNP
A67375	192	56	RSa	RSa	NNS
A67375	192	57	parallel	parallel	JJ
A67375	192	58	to	to	IN
A67375	192	59	CQA	CQA	NNP
A67375	192	60	;	;	:
A67375	192	61	then	then	RB
A67375	192	62	is	be	VBZ
A67375	192	63	,	,	,
A67375	192	64	As	as	IN
A67375	192	65	bA	bA	NNP
A67375	192	66	to	to	IN
A67375	192	67	ba	ba	NNP
A67375	192	68	;	;	:
A67375	192	69	or	or	CC
A67375	192	70	,	,	,
A67375	192	71	As	as	IN
A67375	192	72	bC	bC	NNP
A67375	192	73	to	to	IN
A67375	192	74	b	b	NNP
A67375	192	75	ρ	ρ	XX
A67375	192	76	;	;	:
A67375	192	77	or	or	CC
A67375	192	78	,	,	,
A67375	192	79	As	as	IN
A67375	192	80	AC	AC	NNP
A67375	192	81	(	(	-LRB-
A67375	192	82	or	or	CC
A67375	192	83	aR	aR	NNP
A67375	192	84	)	)	-RRB-
A67375	192	85	to	to	IN
A67375	192	86	a	a	DT
A67375	192	87	ρ	ρ	NN
A67375	192	88	:	:	:
A67375	192	89	So	so	RB
A67375	192	90	RS	RS	NNP
A67375	192	91	to	to	IN
A67375	192	92	ρ	ρ	NN
A67375	192	93	σ	σ	NN
A67375	192	94	.	.	.
A67375	193	1	28	28	CD
A67375	193	2	.	.	.
A67375	194	1	In	in	IN
A67375	194	2	Species	Species	NNP
A67375	194	3	,	,	,
A67375	194	4	thus	thus	RB
A67375	194	5	:	:	:
A67375	194	6	29	29	CD
A67375	194	7	.	.	.
A67375	195	1	Or	or	CC
A67375	195	2	else	else	RB
A67375	195	3	,	,	,
A67375	195	4	continuing	continue	VBG
A67375	195	5	Cb	cb	NN
A67375	195	6	till	till	IN
A67375	195	7	it	-PRON-	PRP
A67375	195	8	cut	cut	VBD
A67375	195	9	DB	DB	NNP
A67375	195	10	(	(	-LRB-
A67375	195	11	continued	continue	VBN
A67375	195	12	)	)	-RRB-
A67375	195	13	in	in	IN
A67375	195	14	d	d	NN
A67375	195	15	,	,	,
A67375	195	16	the	the	DT
A67375	195	17	Proportions	Proportions	NNPS
A67375	195	18	will	will	MD
A67375	195	19	be	be	VB
A67375	195	20	as	as	IN
A67375	195	21	before	before	RB
A67375	195	22	,	,	,
A67375	195	23	at	at	IN
A67375	195	24	§	§	CD
A67375	195	25	25	25	CD
A67375	195	26	,	,	,
A67375	195	27	26	26	CD
A67375	195	28	.	.	.
A67375	196	1	30	30	CD
A67375	196	2	.	.	.
A67375	197	1	But	but	CC
A67375	197	2	with	with	IN
A67375	197	3	this	this	DT
A67375	197	4	difference	difference	NN
A67375	197	5	;	;	:
A67375	197	6	That	that	IN
A67375	197	7	the	the	DT
A67375	197	8	Curve	Curve	NNP
A67375	197	9	Q	Q	NNP
A67375	197	10	σ	σ	NN
A67375	197	11	bd	bd	NN
A67375	197	12	will	will	MD
A67375	197	13	cut	cut	VB
A67375	197	14	its	-PRON-	PRP$
A67375	197	15	Axis	Axis	NNP
A67375	197	16	at	at	IN
A67375	197	17	b	b	NN
A67375	197	18	,	,	,
A67375	197	19	and	and	CC
A67375	197	20	meet	meet	VB
A67375	197	21	with	with	IN
A67375	197	22	it	-PRON-	PRP
A67375	197	23	again	again	RB
A67375	197	24	at	at	IN
A67375	197	25	d	d	NN
A67375	197	26	,	,	,
A67375	197	27	(	(	-LRB-
A67375	197	28	the	the	DT
A67375	197	29	part	part	NN
A67375	197	30	bd	bd	IN
A67375	197	31	being	be	VBG
A67375	197	32	on	on	IN
A67375	197	33	the	the	DT
A67375	197	34	other	other	JJ
A67375	197	35	side	side	NN
A67375	197	36	of	of	IN
A67375	197	37	the	the	DT
A67375	197	38	Axis	Axis	NNP
A67375	197	39	,	,	,
A67375	197	40	and	and	CC
A67375	197	41	of	of	IN
A67375	197	42	the	the	DT
A67375	197	43	Plain	Plain	NNP
A67375	197	44	ABDC	ABDC	NNP
A67375	197	45	,	,	,
A67375	197	46	in	in	IN
A67375	197	47	the	the	DT
A67375	197	48	opposite	opposite	JJ
A67375	197	49	Solid	Solid	NNP
A67375	197	50	.	.	.
A67375	197	51	)	)	-RRB-
A67375	198	1	And	and	CC
A67375	198	2	accordingly	accordingly	RB
A67375	198	3	(	(	-LRB-
A67375	198	4	R	r	NN
A67375	198	5	ρ	ρ	IN
A67375	198	6	being	be	VBG
A67375	198	7	in	in	IN
A67375	198	8	this	this	DT
A67375	198	9	case	case	NN
A67375	198	10	greater	great	JJR
A67375	198	11	than	than	IN
A67375	198	12	aR	aR	NNP
A67375	198	13	)	)	-RRB-
A67375	198	14	the	the	DT
A67375	198	15	Quantities	Quantities	NNPS
A67375	198	16	a	a	DT
A67375	198	17	ρ	ρ	NN
A67375	198	18	,	,	,
A67375	198	19	and	and	CC
A67375	198	20	ρ	ρ	NNP
A67375	198	21	σ	σ	NNP
A67375	198	22	,	,	,
A67375	198	23	will	will	MD
A67375	198	24	be	be	VB
A67375	198	25	Negative	Negative	NNP
A67375	198	26	Quantities	Quantities	NNPS
A67375	198	27	;	;	:
A67375	198	28	a	a	DT
A67375	198	29	ρ	ρ	XX
A67375	198	30	falling	fall	VBG
A67375	198	31	beyond	beyond	IN
A67375	198	32	the	the	DT
A67375	198	33	Vertex	Vertex	NNP
A67375	198	34	AB	AB	NNP
A67375	198	35	,	,	,
A67375	198	36	which	which	WDT
A67375	198	37	was	be	VBD
A67375	198	38	supposed	suppose	VBN
A67375	198	39	short	short	JJ
A67375	198	40	of	of	IN
A67375	198	41	it	-PRON-	PRP
A67375	198	42	;	;	:
A67375	198	43	and	and	CC
A67375	198	44	ρ	ρ	IN
A67375	198	45	σ	σ	NN
A67375	198	46	below	below	IN
A67375	198	47	the	the	DT
A67375	198	48	Plain	Plain	NNP
A67375	198	49	ABDC	ABDC	NNP
A67375	198	50	,	,	,
A67375	198	51	which	which	WDT
A67375	198	52	was	be	VBD
A67375	198	53	supposed	suppose	VBN
A67375	198	54	above	above	IN
A67375	198	55	it	-PRON-	PRP
A67375	198	56	.	.	.
A67375	199	1	31	31	CD
A67375	199	2	.	.	.
A67375	200	1	In	in	IN
A67375	200	2	both	both	PDT
A67375	200	3	these	these	DT
A67375	200	4	cases	case	NNS
A67375	200	5	(	(	-LRB-
A67375	200	6	whether	whether	IN
A67375	200	7	Cd	Cd	NNP
A67375	200	8	cut	cut	VBD
A67375	200	9	or	or	CC
A67375	200	10	cut	cut	VBD
A67375	200	11	not	not	RB
A67375	200	12	the	the	DT
A67375	200	13	Vertex	Vertex	NNP
A67375	200	14	AB	AB	NNP
A67375	200	15	)	)	-RRB-
A67375	200	16	the	the	DT
A67375	200	17	Lines	Lines	NNPS
A67375	200	18	dC	dC	NNP
A67375	200	19	continued	continue	VBD
A67375	200	20	(	(	-LRB-
A67375	200	21	answering	answer	VBG
A67375	200	22	to	to	IN
A67375	200	23	a	a	DT
A67375	200	24	sutable	sutable	JJ
A67375	200	25	continuation	continuation	NN
A67375	200	26	of	of	IN
A67375	200	27	the	the	DT
A67375	200	28	Solid	Solid	NNPS
A67375	200	29	)	)	-RRB-
A67375	200	30	will	will	MD
A67375	200	31	again	again	RB
A67375	200	32	meet	meet	VB
A67375	200	33	with	with	IN
A67375	200	34	their	-PRON-	PRP$
A67375	200	35	Axes	Axes	NNP
A67375	200	36	continued	continue	VBN
A67375	200	37	at	at	IN
A67375	200	38	δ	δ	NN
A67375	200	39	(	(	-LRB-
A67375	200	40	as	as	RB
A67375	200	41	far	far	RB
A67375	200	42	beyond	beyond	IN
A67375	200	43	C	C	NNP
A67375	200	44	,	,	,
A67375	200	45	as	as	IN
A67375	200	46	d	d	NN
A67375	200	47	is	be	VBZ
A67375	200	48	on	on	IN
A67375	200	49	this	this	DT
A67375	200	50	side	side	NN
A67375	200	51	it	-PRON-	PRP
A67375	200	52	)	)	-RRB-
A67375	200	53	.	.	.
A67375	201	1	But	but	CC
A67375	201	2	the	the	DT
A67375	201	3	Ordinates	Ordinates	NNPS
A67375	201	4	in	in	IN
A67375	201	5	this	this	DT
A67375	201	6	continuation	continuation	NN
A67375	201	7	will	will	MD
A67375	201	8	be	be	VB
A67375	201	9	greater	great	JJR
A67375	201	10	than	than	IN
A67375	201	11	those	those	DT
A67375	201	12	of	of	IN
A67375	201	13	dC	dC	NNP
A67375	201	14	;	;	:
A67375	201	15	because	because	IN
A67375	201	16	from	from	IN
A67375	201	17	CD	cd	NN
A67375	201	18	upward	upward	RB
A67375	201	19	the	the	DT
A67375	201	20	Solid	Solid	NNP
A67375	201	21	grows	grow	VBZ
A67375	201	22	thinner	thin	JJR
A67375	201	23	,	,	,
A67375	201	24	but	but	CC
A67375	201	25	thicker	thick	JJR
A67375	201	26	from	from	IN
A67375	201	27	CD	CD	NNP
A67375	201	28	downward	downward	RB
A67375	201	29	.	.	.
A67375	202	1	And	and	CC
A67375	202	2	accordingly	accordingly	RB
A67375	202	3	,	,	,
A67375	202	4	a	a	DT
A67375	202	5	ρ	ρ	NN
A67375	202	6	,	,	,
A67375	202	7	which	which	WDT
A67375	202	8	between	between	IN
A67375	202	9	AB	AB	NNP
A67375	202	10	and	and	CC
A67375	202	11	CD	CD	NNP
A67375	202	12	is	be	VBZ
A67375	202	13	less	less	JJR
A67375	202	14	than	than	IN
A67375	202	15	aR	aR	NNP
A67375	202	16	,	,	,
A67375	202	17	(	(	-LRB-
A67375	202	18	and	and	CC
A67375	202	19	above	above	IN
A67375	202	20	AB	AB	NNP
A67375	202	21	,	,	,
A67375	202	22	a	a	DT
A67375	202	23	Negative	Negative	NNP
A67375	202	24	Quantity	Quantity	NNP
A67375	202	25	;	;	:
A67375	202	26	)	)	-RRB-
A67375	202	27	the	the	DT
A67375	202	28	same	same	JJ
A67375	202	29	below	below	IN
A67375	202	30	CD	CD	NNP
A67375	202	31	becomes	become	VBZ
A67375	202	32	greater	great	JJR
A67375	202	33	than	than	IN
A67375	202	34	aR	aR	NNP
A67375	202	35	;	;	:
A67375	202	36	(	(	-LRB-
A67375	202	37	dC	dC	NNP
A67375	202	38	cutting	cut	VBG
A67375	202	39	▪	▪	NN
A67375	202	40	DC	DC	NNP
A67375	202	41	at	at	IN
A67375	202	42	C	C	NNP
A67375	202	43	:	:	:
A67375	202	44	)	)	-RRB-
A67375	202	45	For	for	IN
A67375	202	46	there	there	RB
A67375	202	47	it	-PRON-	PRP
A67375	202	48	is	be	VBZ
A67375	202	49	a	a	DT
A67375	202	50	ρ	ρ	NN
A67375	202	51	=	=	NN
A67375	202	52	aR	aR	NNP
A67375	202	53	−	−	NNP
A67375	202	54	R	R	NNP
A67375	202	55	ρ	ρ	IN
A67375	202	56	;	;	:
A67375	202	57	here	here	RB
A67375	202	58	it	-PRON-	PRP
A67375	202	59	is	be	VBZ
A67375	202	60	a	a	DT
A67375	202	61	ρ	ρ	NN
A67375	202	62	=	=	NN
A67375	202	63	aR	ar	NN
A67375	202	64	+	+	CC
A67375	202	65	R	r	NN
A67375	202	66	ρ	ρ	XX
A67375	202	67	.	.	.
A67375	203	1	32	32	CD
A67375	203	2	.	.	.
A67375	204	1	These	these	DT
A67375	204	2	Curves	Curves	NNPS
A67375	204	3	,	,	,
A67375	204	4	in	in	IN
A67375	204	5	both	both	DT
A67375	204	6	cases	case	NNS
A67375	204	7	,	,	,
A67375	204	8	(	(	-LRB-
A67375	204	9	when	when	WRB
A67375	204	10	Cd	Cd	NNP
A67375	204	11	cuts	cut	VBZ
A67375	204	12	or	or	CC
A67375	204	13	cuts	cut	VBZ
A67375	204	14	not	not	RB
A67375	204	15	the	the	DT
A67375	204	16	Line	Line	NNP
A67375	204	17	AB	AB	NNP
A67375	204	18	)	)	-RRB-
A67375	204	19	supposing	suppose	VBG
A67375	204	20	the	the	DT
A67375	204	21	Side	side	JJ
A67375	204	22	DB	DB	NNP
A67375	204	23	divided	divide	VBN
A67375	204	24	into	into	IN
A67375	204	25	equal	equal	JJ
A67375	204	26	parts	part	NNS
A67375	204	27	by	by	IN
A67375	204	28	the	the	DT
A67375	204	29	Lines	Lines	NNP
A67375	204	30	Cd	Cd	NNP
A67375	204	31	,	,	,
A67375	204	32	(	(	-LRB-
A67375	204	33	if	if	IN
A67375	204	34	projected	project	VBN
A67375	204	35	on	on	IN
A67375	204	36	one	one	CD
A67375	204	37	and	and	CC
A67375	204	38	the	the	DT
A67375	204	39	same	same	JJ
A67375	204	40	Plain	Plain	NNP
A67375	204	41	)	)	-RRB-
A67375	204	42	will	will	MD
A67375	204	43	appear	appear	VB
A67375	204	44	as	as	IN
A67375	204	45	in	in	IN
A67375	204	46	the	the	DT
A67375	204	47	fourth	fourth	JJ
A67375	204	48	Projection	Projection	NNP
A67375	204	49	,	,	,
A67375	204	50	Fig	Fig	NNP
A67375	204	51	.	.	.
A67375	205	1	19	19	CD
A67375	205	2	.	.	.
A67375	206	1	Where	where	WRB
A67375	206	2	the	the	DT
A67375	206	3	Axes	Axes	NNP
A67375	206	4	dC	dC	NNP
A67375	206	5	being	be	VBG
A67375	206	6	continued	continue	VBN
A67375	206	7	to	to	IN
A67375	206	8	δ	δ	NN
A67375	206	9	,	,	,
A67375	206	10	are	be	VBP
A67375	206	11	then	then	RB
A67375	206	12	(	(	-LRB-
A67375	206	13	to	to	TO
A67375	206	14	avoid	avoid	VB
A67375	206	15	confusion	confusion	NN
A67375	206	16	in	in	IN
A67375	206	17	the	the	DT
A67375	206	18	Figure	Figure	NNP
A67375	206	19	)	)	-RRB-
A67375	206	20	removed	remove	VBD
A67375	206	21	from	from	IN
A67375	206	22	their	-PRON-	PRP$
A67375	206	23	proper	proper	JJ
A67375	206	24	place	place	NN
A67375	206	25	in	in	IN
A67375	206	26	the	the	DT
A67375	206	27	Plain	Plain	NNP
A67375	206	28	ABDC	abdc	NN
A67375	206	29	,	,	,
A67375	206	30	and	and	CC
A67375	206	31	set	set	VBD
A67375	206	32	off	off	RP
A67375	206	33	in	in	IN
A67375	206	34	the	the	DT
A67375	206	35	same	same	JJ
A67375	206	36	streight	streight	JJ
A67375	206	37	Line	Line	NNP
A67375	206	38	AC	AC	NNP
A67375	206	39	continued	continue	VBD
A67375	206	40	;	;	:
A67375	206	41	and	and	CC
A67375	206	42	the	the	DT
A67375	206	43	Ordinates	Ordinates	NNPS
A67375	206	44	ρ	ρ	IN
A67375	206	45	σ	σ	NNP
A67375	206	46	applied	apply	VBN
A67375	206	47	to	to	IN
A67375	206	48	them	-PRON-	PRP
A67375	206	49	in	in	IN
A67375	206	50	that	that	DT
A67375	206	51	Position	position	NN
A67375	206	52	,	,	,
A67375	206	53	in	in	IN
A67375	206	54	such	such	JJ
A67375	206	55	proportion	proportion	NN
A67375	206	56	to	to	IN
A67375	206	57	RS	RS	NNP
A67375	206	58	,	,	,
A67375	206	59	as	as	IN
A67375	206	60	a	a	DT
A67375	206	61	ρ	ρ	NN
A67375	206	62	is	be	VBZ
A67375	206	63	to	to	TO
A67375	206	64	aR	aR	NNP
A67375	206	65	or	or	CC
A67375	206	66	AC	AC	NNP
A67375	206	67	:	:	:
A67375	206	68	And	and	CC
A67375	206	69	moreover	moreover	RB
A67375	206	70	,	,	,
A67375	206	71	they	-PRON-	PRP
A67375	206	72	are	be	VBP
A67375	206	73	so	so	RB
A67375	206	74	distributed	distribute	VBN
A67375	206	75	,	,	,
A67375	206	76	some	some	DT
A67375	206	77	on	on	IN
A67375	206	78	the	the	DT
A67375	206	79	one	one	CD
A67375	206	80	side	side	NN
A67375	206	81	,	,	,
A67375	206	82	some	some	DT
A67375	206	83	on	on	IN
A67375	206	84	the	the	DT
A67375	206	85	other	other	JJ
A67375	206	86	side	side	NN
A67375	206	87	of	of	IN
A67375	206	88	AD	ad	NN
A67375	206	89	,	,	,
A67375	206	90	to	to	TO
A67375	206	91	prevent	prevent	VB
A67375	206	92	the	the	DT
A67375	206	93	confusion	confusion	NN
A67375	206	94	which	which	WDT
A67375	206	95	might	may	MD
A67375	206	96	arise	arise	VB
A67375	206	97	in	in	IN
A67375	206	98	the	the	DT
A67375	206	99	Figure	figure	NN
A67375	206	100	,	,	,
A67375	206	101	if	if	IN
A67375	206	102	so	so	RB
A67375	206	103	many	many	JJ
A67375	206	104	Curves	curve	NNS
A67375	206	105	should	should	MD
A67375	206	106	all	all	RB
A67375	206	107	intersect	intersect	VB
A67375	206	108	one	one	NN
A67375	206	109	another	another	DT
A67375	206	110	in	in	IN
A67375	206	111	the	the	DT
A67375	206	112	same	same	JJ
A67375	206	113	Point	Point	NNP
A67375	206	114	Δ	Δ	NNP
A67375	206	115	,	,	,
A67375	206	116	beside	beside	IN
A67375	206	117	another	another	DT
A67375	206	118	intersection	intersection	NN
A67375	206	119	afterwards	afterwards	RB
A67375	206	120	.	.	.
A67375	207	1	33	33	CD
A67375	207	2	.	.	.
A67375	208	1	The	the	DT
A67375	208	2	Quantities	Quantities	NNPS
A67375	208	3	in	in	IN
A67375	208	4	this	this	DT
A67375	208	5	Projection	Projection	NNP
A67375	208	6	,	,	,
A67375	208	7	I	-PRON-	PRP
A67375	208	8	thus	thus	RB
A67375	208	9	design	design	VBP
A67375	208	10	in	in	IN
A67375	208	11	Species	Species	NNP
A67375	208	12	.	.	.
A67375	209	1	34	34	CD
A67375	209	2	.	.	.
A67375	210	1	In	in	IN
A67375	210	2	Numbers	number	NNS
A67375	210	3	(	(	-LRB-
A67375	210	4	putting	put	VBG
A67375	210	5	R	r	NN
A67375	210	6	=	=	SYM
A67375	210	7	1	1	CD
A67375	210	8	,	,	,
A67375	210	9	A	a	NN
A67375	210	10	=	=	SYM
A67375	210	11	2	2	CD
A67375	210	12	,	,	,
A67375	210	13	)	)	-RRB-
A67375	210	14	the	the	DT
A67375	210	15	Semi	Semi	NNP
A67375	210	16	-	-	NNS
A67375	210	17	axes	axis	NNS
A67375	210	18	to	to	IN
A67375	210	19	the	the	DT
A67375	210	20	six	six	CD
A67375	210	21	Curves	curve	NNS
A67375	210	22	described	describe	VBN
A67375	210	23	(	(	-LRB-
A67375	210	24	whereof	whereof	IN
A67375	210	25	the	the	DT
A67375	210	26	first	first	JJ
A67375	210	27	is	be	VBZ
A67375	210	28	the	the	DT
A67375	210	29	circumference	circumference	NN
A67375	210	30	of	of	IN
A67375	210	31	a	a	DT
A67375	210	32	Circle	Circle	NNP
A67375	210	33	)	)	-RRB-
A67375	210	34	are	be	VBP
A67375	210	35	these	these	DT
A67375	210	36	:	:	:
A67375	210	37	I.	i.	NN
A67375	210	38	CD	cd	NN
A67375	210	39	II	ii	CD
A67375	210	40	.	.	.
A67375	211	1	Cd	Cd	NNP
A67375	211	2	.	.	.
A67375	212	1	III	iii	CD
A67375	212	2	.	.	.
A67375	213	1	Cd	Cd	NNP
A67375	213	2	.	.	.
A67375	214	1	IV	IV	NNP
A67375	214	2	.	.	.
A67375	215	1	Cd	Cd	NNP
A67375	215	2	.	.	.
A67375	216	1	V.	V.	NNP
A67375	216	2	Cd	Cd	NNP
A67375	216	3	.	.	.
A67375	217	1	VI	VI	NNP
A67375	217	2	.	.	.
A67375	218	1	Cd	Cd	NNP
A67375	218	2	.	.	.
A67375	219	1	1	1	LS
A67375	219	2	.	.	.
A67375	220	1	1.11803	1.11803	CD
A67375	220	2	1.41421	1.41421	CD
A67375	220	3	1.80278	1.80278	CD
A67375	220	4	2.23607	2.23607	CD
A67375	220	5	2.69258	2.69258	CD
A67375	220	6	And	and	CC
A67375	220	7	the	the	DT
A67375	220	8	Ordinates	Ordinates	NNPS
A67375	220	9	,	,	,
A67375	220	10	supposing	suppose	VBG
A67375	220	11	the	the	DT
A67375	220	12	Semi	Semi	NNP
A67375	220	13	-	-	NNS
A67375	220	14	axes	axis	NNS
A67375	220	15	divided	divide	VBD
A67375	220	16	into	into	IN
A67375	220	17	four	four	CD
A67375	220	18	parts	part	NNS
A67375	220	19	,	,	,
A67375	220	20	are	be	VBP
A67375	220	21	these	these	DT
A67375	220	22	:	:	:
A67375	220	23	I.	i.	NN
A67375	220	24	RS	RS	NNP
A67375	220	25	.	.	.
A67375	221	1	II	ii	CD
A67375	221	2	.	.	.
A67375	222	1	ρ	ρ	IN
A67375	222	2	σ	σ	NNP
A67375	222	3	.	.	.
A67375	222	4	III	iii	CD
A67375	222	5	.	.	.
A67375	223	1	ρ	ρ	IN
A67375	223	2	σ	σ	NNP
A67375	223	3	.	.	.
A67375	223	4	IV	IV	NNP
A67375	223	5	.	.	.
A67375	224	1	ρ	ρ	IN
A67375	224	2	σ	σ	NNP
A67375	224	3	.	.	.
A67375	224	4	V.	V.	NNP
A67375	224	5	ρ	ρ	NNP
A67375	224	6	σ	σ	NNP
A67375	224	7	.	.	.
A67375	224	8	VI	VI	NNP
A67375	224	9	.	.	.
A67375	225	1	ρ	ρ	IN
A67375	225	2	σ	σ	NNP
A67375	225	3	.	.	.
A67375	226	1	0	0	NFP
A67375	226	2	.	.	.
A67375	227	1	0	0	NFP
A67375	227	2	.	.	.
A67375	228	1	0	0	NFP
A67375	228	2	.	.	.
A67375	229	1	0	0	NFP
A67375	229	2	.	.	.
A67375	230	1	0	0	NFP
A67375	230	2	.	.	.
A67375	231	1	0	0	NFP
A67375	231	2	.	.	.
A67375	232	1	0	0	NFP
A67375	232	2	.	.	.
A67375	233	1	661	661	CD
A67375	233	2	+	+	SYM
A67375	233	3	0	0	CD
A67375	233	4	.	.	.
A67375	234	1	537	537	CD
A67375	234	2	+	+	SYM
A67375	234	3	0	0	CD
A67375	234	4	.	.	.
A67375	235	1	413	413	CD
A67375	235	2	+	+	SYM
A67375	235	3	0	0	CD
A67375	235	4	.	.	.
A67375	236	1	289	289	CD
A67375	236	2	+	+	SYM
A67375	236	3	0	0	CD
A67375	236	4	.	.	.
A67375	237	1	165	165	CD
A67375	237	2	+	+	SYM
A67375	237	3	0	0	CD
A67375	237	4	.	.	.
A67375	238	1	041	041	CD
A67375	238	2	+	+	SYM
A67375	238	3	0	0	CD
A67375	238	4	.	.	.
A67375	239	1	866	866	CD
A67375	239	2	+	+	CD
A67375	239	3	0.758	0.758	CD
A67375	239	4	−	−	NNP
A67375	239	5	0.650	0.650	CD
A67375	239	6	−	−	NNP
A67375	239	7	0	0	CD
A67375	239	8	.	.	.
A67375	240	1	541	541	CD
A67375	240	2	+	+	SYM
A67375	240	3	0	0	CD
A67375	240	4	.	.	.
A67375	241	1	433	433	CD
A67375	241	2	+	+	SYM
A67375	241	3	0.325	0.325	CD
A67375	241	4	−	−	NNP
A67375	241	5	0	0	CD
A67375	241	6	.	.	.
A67375	242	1	968	968	CD
A67375	242	2	+	+	CD
A67375	242	3	0.908	0.908	CD
A67375	242	4	−	−	NNP
A67375	242	5	0.847	0.847	CD
A67375	242	6	−	−	NNP
A67375	242	7	0.787	0.787	CD
A67375	242	8	−	−	NNP
A67375	242	9	0	0	CD
A67375	242	10	.	.	.
A67375	243	1	726	726	CD
A67375	243	2	+	+	SYM
A67375	243	3	0.666	0.666	CD
A67375	243	4	−	−	NNP
A67375	243	5	1	1	CD
A67375	243	6	.	.	.
A67375	244	1	1	1	LS
A67375	244	2	.	.	.
A67375	245	1	1	1	LS
A67375	245	2	.	.	.
A67375	246	1	1	1	LS
A67375	246	2	.	.	.
A67375	247	1	1	1	LS
A67375	247	2	.	.	.
A67375	248	1	1	1	LS
A67375	248	2	.	.	.
A67375	249	1	0	0	NFP
A67375	249	2	.	.	.
A67375	250	1	968	968	CD
A67375	250	2	+	+	SYM
A67375	250	3	1.029	1.029	CD
A67375	250	4	−	−	NNP
A67375	250	5	1.089	1.089	CD
A67375	250	6	−	−	NNP
A67375	250	7	1.150	1.150	CD
A67375	250	8	−	−	NNP
A67375	250	9	1	1	CD
A67375	250	10	.	.	.
A67375	251	1	210	210	CD
A67375	251	2	+	+	SYM
A67375	251	3	1.271	1.271	CD
A67375	251	4	−	−	NNP
A67375	251	5	0	0	CD
A67375	251	6	.	.	.
A67375	252	1	866	866	CD
A67375	252	2	+	+	SYM
A67375	252	3	0	0	CD
A67375	252	4	.	.	.
A67375	253	1	974	974	CD
A67375	253	2	+	+	SYM
A67375	253	3	1.083	1.083	CD
A67375	253	4	−	−	NNP
A67375	253	5	1	1	CD
A67375	253	6	.	.	.
A67375	254	1	194	194	CD
A67375	254	2	+	+	SYM
A67375	254	3	1	1	CD
A67375	254	4	.	.	.
A67375	255	1	299	299	CD
A67375	255	2	+	+	SYM
A67375	255	3	1	1	CD
A67375	255	4	.	.	.
A67375	256	1	407	407	CD
A67375	256	2	+	+	SYM
A67375	256	3	0	0	CD
A67375	256	4	.	.	.
A67375	257	1	661	661	CD
A67375	257	2	+	+	SYM
A67375	257	3	0	0	CD
A67375	257	4	.	.	.
A67375	258	1	785	785	CD
A67375	258	2	+	+	SYM
A67375	258	3	0	0	CD
A67375	258	4	.	.	.
A67375	259	1	909	909	CD
A67375	259	2	+	+	SYM
A67375	259	3	1	1	CD
A67375	259	4	.	.	.
A67375	260	1	033	033	CD
A67375	260	2	+	+	CC
A67375	260	3	1.158	1.158	CD
A67375	260	4	−	−	NNP
A67375	260	5	1.282	1.282	CD
A67375	260	6	−	−	NNP
A67375	260	7	0	0	CD
A67375	260	8	.	.	.
A67375	261	1	0	0	NFP
A67375	261	2	.	.	.
A67375	262	1	0	0	NFP
A67375	262	2	.	.	.
A67375	263	1	0	0	NFP
A67375	263	2	.	.	.
A67375	264	1	0	0	NFP
A67375	264	2	.	.	.
A67375	265	1	0	0	NFP
A67375	265	2	.	.	.
A67375	266	1	Or	or	CC
A67375	266	2	if	if	IN
A67375	266	3	(	(	-LRB-
A67375	266	4	for	for	IN
A67375	266	5	a	a	DT
A67375	266	6	more	more	RBR
A67375	266	7	accurate	accurate	JJ
A67375	266	8	describing	describing	NN
A67375	266	9	of	of	IN
A67375	266	10	the	the	DT
A67375	266	11	Curves	curve	NNS
A67375	266	12	)	)	-RRB-
A67375	266	13	the	the	DT
A67375	266	14	Semi	Semi	NNP
A67375	266	15	-	-	NNS
A67375	266	16	axes	axis	NNS
A67375	266	17	be	be	VB
A67375	266	18	divided	divide	VBN
A67375	266	19	into	into	IN
A67375	266	20	16	16	CD
A67375	266	21	equal	equal	JJ
A67375	266	22	parts	part	NNS
A67375	266	23	(	(	-LRB-
A67375	266	24	and	and	CC
A67375	266	25	the	the	DT
A67375	266	26	whole	whole	JJ
A67375	266	27	Axes	Axes	NNP
A67375	266	28	into	into	IN
A67375	266	29	32	32	CD
A67375	266	30	)	)	-RRB-
A67375	266	31	,	,	,
A67375	266	32	the	the	DT
A67375	266	33	Ordinates	Ordinates	NNPS
A67375	266	34	thereunto	thereunto	IN
A67375	266	35	appertaining	appertain	VBG
A67375	266	36	are	be	VBP
A67375	266	37	these	these	DT
A67375	266	38	.	.	.
A67375	267	1	I.	I.	NNP
A67375	267	2	RS	RS	NNP
A67375	267	3	.	.	.
A67375	268	1	II	ii	CD
A67375	268	2	.	.	.
A67375	269	1	ρ	ρ	IN
A67375	269	2	σ	σ	NNP
A67375	269	3	.	.	.
A67375	269	4	III	iii	CD
A67375	269	5	.	.	.
A67375	270	1	ρ	ρ	IN
A67375	270	2	σ	σ	NNP
A67375	270	3	.	.	.
A67375	270	4	IV	IV	NNP
A67375	270	5	.	.	.
A67375	271	1	ρ	ρ	IN
A67375	271	2	σ	σ	NNP
A67375	271	3	.	.	.
A67375	271	4	V.	V.	NNP
A67375	271	5	ρ	ρ	NNP
A67375	271	6	σ	σ	NNP
A67375	271	7	.	.	.
A67375	271	8	VI	VI	NNP
A67375	271	9	.	.	.
A67375	272	1	ρ	ρ	IN
A67375	272	2	σ	σ	NNP
A67375	272	3	.	.	.
A67375	273	1	0	0	NFP
A67375	273	2	.	.	.
A67375	274	1	0	0	NFP
A67375	274	2	.	.	.
A67375	275	1	0	0	NFP
A67375	275	2	.	.	.
A67375	276	1	0	0	NFP
A67375	276	2	.	.	.
A67375	277	1	0	0	NFP
A67375	277	2	.	.	.
A67375	278	1	0	0	NFP
A67375	278	2	.	.	.
A67375	279	1	0.3481	0.3481	CD
A67375	279	2	0.2665	0.2665	CD
A67375	279	3	0.1849	0.1849	CD
A67375	279	4	0.1033	0.1033	CD
A67375	279	5	0.0217	0.0217	CD
A67375	279	6	−	−	NNP
A67375	279	7	0.0598	0.0598	CD
A67375	279	8	0.4841	0.4841	CD
A67375	279	9	0.3782	0.3782	CD
A67375	279	10	0.2723	0.2723	CD
A67375	279	11	0.1664	0.1664	CD
A67375	279	12	0.0605	0.0605	CD
A67375	279	13	−	−	NNP
A67375	279	14	0.0454	0.0454	CD
A67375	279	15	0.5830	0.5830	CD
A67375	279	16	0.4645	0.4645	CD
A67375	279	17	0.3461	0.3461	CD
A67375	279	18	0.2277	0.2277	CD
A67375	279	19	0.1093	0.1093	CD
A67375	279	20	−	−	NNP
A67375	279	21	0.0091	0.0091	CD
A67375	279	22	0.6614	0.6614	CD
A67375	279	23	0.5374	0.5374	CD
A67375	279	24	0.4134	0.4134	CD
A67375	279	25	0.2894	0.2894	CD
A67375	279	26	0.1654	0.1654	CD
A67375	279	27	+0.0413	+0.0413	NFP
A67375	279	28	0.7262	0.7262	CD
A67375	279	29	0.6014	0.6014	CD
A67375	279	30	0.4765	0.4765	CD
A67375	279	31	0.3517	0.3517	CD
A67375	279	32	0.2269	0.2269	CD
A67375	279	33	0.1021	0.1021	CD
A67375	279	34	0.7806	0.7806	CD
A67375	279	35	0.6586	0.6586	CD
A67375	279	36	0.5367	0.5367	CD
A67375	279	37	0.4147	0.4147	CD
A67375	279	38	0.2921	0.2921	CD
A67375	279	39	0.1702	0.1702	CD
A67375	279	40	0.8268	0.8268	CD
A67375	279	41	0.7105	0.7105	CD
A67375	279	42	0.5943	0.5943	CD
A67375	279	43	0.4780	0.4780	CD
A67375	279	44	0.3617	0.3617	CD
A67375	279	45	0.2454	0.2454	CD
A67375	279	46	0.8660	0.8660	CD
A67375	279	47	0.7578	0.7578	CD
A67375	279	48	0.6495	0.6495	CD
A67375	279	49	0.5413	0.5413	CD
A67375	279	50	0.4330	0.4330	CD
A67375	279	51	0.3248	0.3248	CD
A67375	279	52	0.8992	0.8992	CD
A67375	279	53	0.8009	0.8009	CD
A67375	279	54	0.7025	0.7025	CD
A67375	279	55	0.6042	0.6042	CD
A67375	279	56	0.5058	0.5058	CD
A67375	279	57	0.4074	0.4074	CD
A67375	279	58	0.9270	0.9270	CD
A67375	279	59	0.8401	0.8401	CD
A67375	279	60	0.7532	0.7532	CD
A67375	279	61	0.6663	0.6663	CD
A67375	279	62	0.5794	0.5794	CD
A67375	279	63	0.4925	0.4925	CD
A67375	279	64	0.9499	0.9499	CD
A67375	279	65	0.8757	0.8757	CD
A67375	279	66	0.8015	0.8015	CD
A67375	279	67	0.7273	0.7273	CD
A67375	279	68	0.6531	0.6531	CD
A67375	279	69	0.5789	0.5789	CD
A67375	279	70	0.9682	0.9682	CD
A67375	279	71	0.9077	0.9077	CD
A67375	279	72	0.8472	0.8472	CD
A67375	279	73	0.7867	0.7867	CD
A67375	279	74	0.7262	0.7262	CD
A67375	279	75	0.6657	0.6657	CD
A67375	279	76	0.9823	0.9823	CD
A67375	279	77	0.9362	0.9362	CD
A67375	279	78	0.8902	0.8902	CD
A67375	279	79	0.8441	0.8441	CD
A67375	279	80	0.7981	0.7981	CD
A67375	279	81	0.7520	0.7520	CD
A67375	279	82	0.9922	0.9922	CD
A67375	279	83	0.9612	0.9612	CD
A67375	279	84	0.9301	0.9301	CD
A67375	279	85	0.8991	0.8991	CD
A67375	279	86	0.8681	0.8681	CD
A67375	279	87	0.8371	0.8371	CD
A67375	279	88	0.9980	0.9980	CD
A67375	279	89	0.9824	0.9824	CD
A67375	279	90	0.9668	0.9668	CD
A67375	279	91	0.9513	0.9513	CD
A67375	279	92	0.9357	0.9357	CD
A67375	279	93	0.9201	0.9201	CD
A67375	279	94	1	1	CD
A67375	279	95	.	.	.
A67375	280	1	1	1	LS
A67375	280	2	.	.	.
A67375	281	1	1	1	LS
A67375	281	2	.	.	.
A67375	282	1	1	1	LS
A67375	282	2	.	.	.
A67375	283	1	1	1	LS
A67375	283	2	.	.	.
A67375	284	1	1	1	LS
A67375	284	2	.	.	.
A67375	285	1	0.9980	0.9980	CD
A67375	285	2	1.0136	1.0136	CD
A67375	285	3	1.0292	1.0292	CD
A67375	285	4	1.0448	1.0448	CD
A67375	285	5	1.0604	1.0604	CD
A67375	285	6	1.0760	1.0760	CD
A67375	285	7	0.9922	0.9922	CD
A67375	285	8	1.0232	1.0232	CD
A67375	285	9	1.0542	1.0542	CD
A67375	285	10	1.0852	1.0852	CD
A67375	285	11	1.1162	1.1162	CD
A67375	285	12	1.1472	1.1472	CD
A67375	285	13	0.9823	0.9823	CD
A67375	285	14	1.0283	1.0283	CD
A67375	285	15	1.0743	1.0743	CD
A67375	285	16	1.1204	1.1204	CD
A67375	285	17	1.1664	1.1664	CD
A67375	285	18	1.2125	1.2125	CD
A67375	285	19	0.9682	0.9682	CD
A67375	285	20	1.0288	1.0288	CD
A67375	285	21	1.0893	1.0893	CD
A67375	285	22	1.1498	1.1498	CD
A67375	285	23	1.2103	1.2103	CD
A67375	285	24	1.2708	1.2708	CD
A67375	285	25	0.9499	0.9499	CD
A67375	285	26	1.0241	1.0241	CD
A67375	285	27	1.0983	1.0983	CD
A67375	285	28	1.1726	1.1726	CD
A67375	285	29	1.2468	1.2468	CD
A67375	285	30	1.3210	1.3210	CD
A67375	285	31	0.9270	0.9270	CD
A67375	285	32	1.0139	1.0139	CD
A67375	285	33	1.1008	1.1008	CD
A67375	285	34	1.1877	1.1877	CD
A67375	285	35	1.2746	1.2746	CD
A67375	285	36	1.3616	1.3616	CD
A67375	285	37	0.8992	0.8992	CD
A67375	285	38	0.9976	0.9976	CD
A67375	285	39	1.0959	1.0959	CD
A67375	285	40	1.1943	1.1943	CD
A67375	285	41	1.2926	1.2926	CD
A67375	285	42	1.3910	1.3910	CD
A67375	285	43	0.8660	0.8660	CD
A67375	285	44	0.9743	0.9743	CD
A67375	285	45	1.0825	1.0825	CD
A67375	285	46	1.1908	1.1908	CD
A67375	285	47	1.2990	1.2990	CD
A67375	285	48	1.4073	1.4073	CD
A67375	285	49	0.8268	0.8268	CD
A67375	285	50	0.9431	0.9431	CD
A67375	285	51	1.0593	1.0593	CD
A67375	285	52	1.1756	1.1756	CD
A67375	285	53	1.2919	1.2919	CD
A67375	285	54	1.4081	1.4081	CD
A67375	285	55	0.7806	0.7806	CD
A67375	285	56	0.9026	0.9026	CD
A67375	285	57	1.0246	1.0246	CD
A67375	285	58	1.1465	1.1465	CD
A67375	285	59	1.2679	1.2679	CD
A67375	285	60	1.3899	1.3899	CD
A67375	285	61	0.7262	0.7262	CD
A67375	285	62	0.8510	0.8510	CD
A67375	285	63	0.9758	0.9758	CD
A67375	285	64	1.1006	1.1006	CD
A67375	285	65	1.2254	1.2254	CD
A67375	285	66	1.3502	1.3502	CD
A67375	285	67	0.6614	0.6614	CD
A67375	285	68	0.7854	0.7854	CD
A67375	285	69	0.9095	0.9095	CD
A67375	285	70	1.0335	1.0335	CD
A67375	285	71	1.1575	1.1575	CD
A67375	285	72	1.2815	1.2815	CD
A67375	285	73	0.5830	0.5830	CD
A67375	285	74	0.7014	0.7014	CD
A67375	285	75	0.8198	0.8198	CD
A67375	285	76	0.9382	0.9382	CD
A67375	285	77	1.0566	1.0566	CD
A67375	285	78	1.1750	1.1750	CD
A67375	285	79	0.4841	0.4841	CD
A67375	285	80	0.5900	0.5900	CD
A67375	285	81	0.6959	0.6959	CD
A67375	285	82	0.8018	0.8018	CD
A67375	285	83	0.9077	0.9077	CD
A67375	285	84	1.0136	1.0136	CD
A67375	285	85	0.3481	0.3481	CD
A67375	285	86	0.4297	0.4297	CD
A67375	285	87	0.5112	0.5112	CD
A67375	285	88	0.5928	0.5928	CD
A67375	285	89	0.6744	0.6744	CD
A67375	285	90	0.7560	0.7560	CD
A67375	285	91	0	0	CD
A67375	285	92	.	.	.
A67375	286	1	0	0	NFP
A67375	286	2	.	.	.
A67375	287	1	0	0	NFP
A67375	287	2	.	.	.
A67375	288	1	0	0	NFP
A67375	288	2	.	.	.
A67375	289	1	0	0	NFP
A67375	289	2	.	.	.
A67375	290	1	0	0	NFP
A67375	290	2	.	.	.
A67375	291	1	35	35	CD
A67375	291	2	.	.	.
A67375	292	1	Fifthly	fifthly	RB
A67375	292	2	;	;	:
A67375	292	3	If	if	IN
A67375	292	4	it	-PRON-	PRP
A67375	292	5	be	be	VB
A67375	292	6	cut	cut	VBN
A67375	292	7	by	by	IN
A67375	292	8	a	a	DT
A67375	292	9	Plain	Plain	NNP
A67375	292	10	Dσ	Dσ	NNP
A67375	292	11	qc	qc	NNP
A67375	292	12	,	,	,
A67375	292	13	(	(	-LRB-
A67375	292	14	Fig	fig	NN
A67375	292	15	.	.	.
A67375	293	1	5	5	CD
A67375	293	2	.	.	.
A67375	293	3	)	)	-RRB-
A67375	294	1	passing	pass	VBG
A67375	294	2	through	through	IN
A67375	294	3	D	d	NN
A67375	294	4	,	,	,
A67375	294	5	and	and	CC
A67375	294	6	perpendicular	perpendicular	JJ
A67375	294	7	to	to	IN
A67375	294	8	the	the	DT
A67375	294	9	Rectangle	Rectangle	NNP
A67375	294	10	ABD	ABD	NNP
A67375	294	11	,	,	,
A67375	294	12	cutting	cut	VBG
A67375	294	13	AC	AC	NNP
A67375	294	14	in	in	IN
A67375	294	15	any	any	DT
A67375	294	16	Point	Point	NNP
A67375	294	17	c	c	NNP
A67375	294	18	,	,	,
A67375	294	19	and	and	CC
A67375	294	20	AQ	AQ	NNP
A67375	294	21	in	in	IN
A67375	294	22	q	q	NNP
A67375	294	23	;	;	:
A67375	294	24	the	the	DT
A67375	294	25	Curve	Curve	NNP
A67375	294	26	Line	Line	NNP
A67375	294	27	D	D	NNP
A67375	294	28	σ	σ	NN
A67375	294	29	q	q	NN
A67375	294	30	will	will	MD
A67375	294	31	have	have	VB
A67375	294	32	this	this	DT
A67375	294	33	property	property	NN
A67375	294	34	:	:	:
A67375	294	35	Cutting	cut	VBG
A67375	294	36	this	this	DT
A67375	294	37	Plain	Plain	NNP
A67375	294	38	by	by	IN
A67375	294	39	any	any	DT
A67375	294	40	of	of	IN
A67375	294	41	the	the	DT
A67375	294	42	Triangles	Triangles	NNP
A67375	294	43	RSa	RSa	NNS
A67375	294	44	in	in	IN
A67375	294	45	ρσ	ρσ	NNP
A67375	294	46	,	,	,
A67375	294	47	it	-PRON-	PRP
A67375	294	48	will	will	MD
A67375	294	49	be	be	VB
A67375	294	50	,	,	,
A67375	294	51	As	as	IN
A67375	294	52	AC	AC	NNP
A67375	294	53	,	,	,
A67375	294	54	or	or	CC
A67375	294	55	aR	aR	NNP
A67375	294	56	,	,	,
A67375	294	57	to	to	IN
A67375	294	58	RS	RS	NNP
A67375	294	59	;	;	:
A67375	294	60	So	so	CC
A67375	294	61	aρ	aρ	VB
A67375	294	62	to	to	IN
A67375	294	63	a	a	DT
A67375	294	64	σ	σ	NN
A67375	294	65	.	.	.
A67375	295	1	The	the	DT
A67375	295	2	length	length	NN
A67375	295	3	of	of	IN
A67375	295	4	a	a	DT
A67375	295	5	ρ	ρ	NN
A67375	295	6	being	be	VBG
A67375	295	7	first	first	RB
A67375	295	8	found	find	VBN
A67375	295	9	thus	thus	RB
A67375	295	10	:	:	:
A67375	295	11	As	as	IN
A67375	295	12	DC	DC	NNP
A67375	295	13	to	to	IN
A67375	295	14	DR	DR	NNP
A67375	295	15	,	,	,
A67375	295	16	or	or	CC
A67375	295	17	Dc	Dc	NNP
A67375	295	18	to	to	IN
A67375	295	19	Dρ	Dρ	NNP
A67375	295	20	;	;	:
A67375	295	21	So	so	RB
A67375	295	22	is	be	VBZ
A67375	295	23	Cc	Cc	NNP
A67375	295	24	to	to	IN
A67375	295	25	Rρ	Rρ	NNP
A67375	295	26	:	:	:
A67375	295	27	Which	which	WDT
A67375	295	28	subducted	subducte	VBD
A67375	295	29	from	from	IN
A67375	295	30	aR	aR	NNP
A67375	295	31	,	,	,
A67375	295	32	leaves	leave	VBZ
A67375	295	33	a	a	DT
A67375	295	34	ρ	ρ	NN
A67375	295	35	=	=	NN
A67375	295	36	aR	aR	NNP
A67375	295	37	−	−	NNP
A67375	295	38	Rρ	Rρ	NNP
A67375	295	39	;	;	:
A67375	295	40	and	and	CC
A67375	295	41	here	here	RB
A67375	295	42	DR	DR	NNP
A67375	295	43	=	=	SYM
A67375	295	44	DC	DC	NNP
A67375	295	45	−	−	NNP
A67375	295	46	CR	CR	NNP
A67375	295	47	:	:	:
A67375	295	48	But	but	CC
A67375	295	49	if	if	IN
A67375	295	50	Dc	Dc	NNP
A67375	295	51	be	be	VB
A67375	295	52	supposed	suppose	VBN
A67375	295	53	to	to	TO
A67375	295	54	be	be	VB
A67375	295	55	continued	continue	VBN
A67375	295	56	beyond	beyond	IN
A67375	295	57	c	c	NN
A67375	295	58	,	,	,
A67375	295	59	and	and	CC
A67375	295	60	consequently	consequently	RB
A67375	295	61	R	r	NN
A67375	295	62	fall	fall	NN
A67375	295	63	beyond	beyond	IN
A67375	295	64	c	c	NN
A67375	295	65	,	,	,
A67375	295	66	then	then	RB
A67375	295	67	is	be	VBZ
A67375	295	68	DR	DR	NNP
A67375	295	69	=	=	SYM
A67375	295	70	DC	DC	NNP
A67375	295	71	+	+	CC
A67375	295	72	CR	CR	NNP
A67375	295	73	.	.	.
A67375	296	1	36	36	CD
A67375	296	2	.	.	.
A67375	297	1	The	the	DT
A67375	297	2	Quantities	quantity	NNS
A67375	297	3	of	of	IN
A67375	297	4	this	this	DT
A67375	297	5	Section	section	NN
A67375	297	6	I	-PRON-	PRP
A67375	297	7	thus	thus	RB
A67375	297	8	design	design	VBP
A67375	297	9	in	in	IN
A67375	297	10	Species	Species	NNP
A67375	297	11	.	.	.
A67375	298	1	37	37	CD
A67375	298	2	.	.	.
A67375	299	1	But	but	CC
A67375	299	2	if	if	IN
A67375	299	3	this	this	DT
A67375	299	4	Plain	Plain	NNP
A67375	299	5	(	(	-LRB-
A67375	299	6	passing	pass	VBG
A67375	299	7	by	by	IN
A67375	299	8	D	d	NN
A67375	299	9	)	)	-RRB-
A67375	299	10	cut	cut	VBD
A67375	299	11	any	any	DT
A67375	299	12	Point	Point	NNP
A67375	299	13	b	b	NN
A67375	299	14	in	in	IN
A67375	299	15	the	the	DT
A67375	299	16	Line	Line	NNP
A67375	299	17	AB	AB	NNP
A67375	299	18	,	,	,
A67375	299	19	before	before	IN
A67375	299	20	it	-PRON-	PRP
A67375	299	21	come	come	VBP
A67375	299	22	at	at	IN
A67375	299	23	c	c	NN
A67375	299	24	in	in	IN
A67375	299	25	the	the	DT
A67375	299	26	continuation	continuation	NN
A67375	299	27	of	of	IN
A67375	299	28	CA	CA	NNP
A67375	299	29	,	,	,
A67375	299	30	(	(	-LRB-
A67375	299	31	Fig	fig	NN
A67375	299	32	.	.	.
A67375	300	1	6	6	CD
A67375	300	2	.	.	.
A67375	300	3	)	)	-RRB-
A67375	301	1	the	the	DT
A67375	301	2	Curve	Curve	NNP
A67375	301	3	●	●	NFP
A67375	301	4	●	●	NFP
A67375	301	5	●	●	NFP
A67375	301	6	e	e	NNP
A67375	301	7	will	will	MD
A67375	301	8	have	have	VB
A67375	301	9	this	this	DT
A67375	301	10	property	property	NN
A67375	301	11	:	:	:
A67375	301	12	Cutting	cut	VBG
A67375	301	13	this	this	DT
A67375	301	14	Plain	Plain	NNP
A67375	301	15	(	(	-LRB-
A67375	301	16	as	as	IN
A67375	301	17	before	before	RB
A67375	301	18	)	)	-RRB-
A67375	301	19	in	in	IN
A67375	301	20	ρ	ρ	IN
A67375	301	21	σ	σ	NN
A67375	301	22	,	,	,
A67375	301	23	by	by	IN
A67375	301	24	any	any	DT
A67375	301	25	of	of	IN
A67375	301	26	the	the	DT
A67375	301	27	Triangles	Triangles	NNP
A67375	301	28	RSa	RSa	NNS
A67375	301	29	parallel	parallel	JJ
A67375	301	30	to	to	IN
A67375	301	31	CQA	CQA	NNP
A67375	301	32	,	,	,
A67375	301	33	then	then	RB
A67375	301	34	is	be	VBZ
A67375	301	35	,	,	,
A67375	301	36	As	as	IN
A67375	301	37	bB	bB	NNP
A67375	301	38	to	to	IN
A67375	301	39	ba	ba	NNP
A67375	301	40	;	;	:
A67375	301	41	or	or	CC
A67375	301	42	,	,	,
A67375	301	43	As	as	IN
A67375	301	44	bD	bD	NNP
A67375	301	45	to	to	IN
A67375	301	46	b	b	NNP
A67375	301	47	ρ	ρ	XX
A67375	301	48	;	;	:
A67375	301	49	or	or	CC
A67375	301	50	,	,	,
A67375	301	51	As	as	IN
A67375	301	52	BD	BD	NNP
A67375	301	53	(	(	-LRB-
A67375	301	54	or	or	CC
A67375	301	55	aR	aR	NNP
A67375	301	56	)	)	-RRB-
A67375	301	57	to	to	IN
A67375	301	58	a	a	DT
A67375	301	59	ρ	ρ	NN
A67375	301	60	:	:	:
A67375	301	61	So	so	RB
A67375	301	62	is	be	VBZ
A67375	301	63	RS	RS	NNP
A67375	301	64	to	to	IN
A67375	301	65	ρ	ρ	IN
A67375	301	66	σ	σ	NN
A67375	301	67	.	.	.
A67375	302	1	38	38	CD
A67375	302	2	.	.	.
A67375	303	1	In	in	IN
A67375	303	2	Species	Species	NNP
A67375	303	3	,	,	,
A67375	303	4	thus	thus	RB
A67375	303	5	:	:	:
A67375	303	6	39	39	CD
A67375	303	7	.	.	.
A67375	304	1	Or	or	CC
A67375	304	2	else	else	RB
A67375	304	3	,	,	,
A67375	304	4	continuing	continue	VBG
A67375	304	5	Db	Db	NNP
A67375	304	6	till	till	IN
A67375	304	7	it	-PRON-	PRP
A67375	304	8	cut	cut	VBD
A67375	304	9	CA	CA	NNP
A67375	304	10	(	(	-LRB-
A67375	304	11	continued	continue	VBN
A67375	304	12	)	)	-RRB-
A67375	304	13	in	in	IN
A67375	304	14	c	c	NN
A67375	304	15	,	,	,
A67375	304	16	the	the	DT
A67375	304	17	Proportions	Proportions	NNPS
A67375	304	18	will	will	MD
A67375	304	19	be	be	VB
A67375	304	20	as	as	IN
A67375	304	21	before	before	RB
A67375	304	22	,	,	,
A67375	304	23	at	at	IN
A67375	304	24	§	§	CD
A67375	304	25	35	35	CD
A67375	304	26	,	,	,
A67375	304	27	36	36	CD
A67375	304	28	.	.	.
A67375	305	1	40	40	CD
A67375	305	2	.	.	.
A67375	306	1	But	but	CC
A67375	306	2	with	with	IN
A67375	306	3	this	this	DT
A67375	306	4	difference	difference	NN
A67375	306	5	;	;	:
A67375	306	6	That	that	IN
A67375	306	7	the	the	DT
A67375	306	8	Curve	Curve	NNP
A67375	306	9	Dσ	Dσ	NNP
A67375	306	10	bq	bq	NNP
A67375	306	11	will	will	MD
A67375	306	12	cut	cut	VB
A67375	306	13	its	-PRON-	PRP$
A67375	306	14	Axis	Axis	NNP
A67375	306	15	at	at	IN
A67375	306	16	b	b	NN
A67375	306	17	,	,	,
A67375	306	18	(	(	-LRB-
A67375	306	19	the	the	DT
A67375	306	20	part	part	NN
A67375	306	21	bq	bq	IN
A67375	306	22	being	be	VBG
A67375	306	23	on	on	IN
A67375	306	24	the	the	DT
A67375	306	25	other	other	JJ
A67375	306	26	side	side	NN
A67375	306	27	of	of	IN
A67375	306	28	the	the	DT
A67375	306	29	Axis	Axis	NNP
A67375	306	30	,	,	,
A67375	306	31	and	and	CC
A67375	306	32	of	of	IN
A67375	306	33	the	the	DT
A67375	306	34	Plain	Plain	NNP
A67375	306	35	ABDC	ABDC	NNP
A67375	306	36	,	,	,
A67375	306	37	in	in	IN
A67375	306	38	the	the	DT
A67375	306	39	opposite	opposite	JJ
A67375	306	40	Solid	Solid	NNP
A67375	306	41	.	.	.
A67375	306	42	)	)	-RRB-
A67375	307	1	And	and	CC
A67375	307	2	accordingly	accordingly	RB
A67375	307	3	(	(	-LRB-
A67375	307	4	Rρ	Rρ	NNP
A67375	307	5	being	be	VBG
A67375	307	6	in	in	IN
A67375	307	7	this	this	DT
A67375	307	8	case	case	NN
A67375	307	9	greater	great	JJR
A67375	307	10	than	than	IN
A67375	307	11	aR	aR	NNP
A67375	307	12	)	)	-RRB-
A67375	307	13	the	the	DT
A67375	307	14	Quantities	Quantities	NNPS
A67375	307	15	aρ	aρ	VBP
A67375	307	16	,	,	,
A67375	307	17	and	and	CC
A67375	307	18	ρσ	ρσ	NN
A67375	307	19	,	,	,
A67375	307	20	will	will	MD
A67375	307	21	be	be	VB
A67375	307	22	Negative	Negative	NNP
A67375	307	23	Quantities	Quantities	NNPS
A67375	307	24	;	;	:
A67375	307	25	aρ	aρ	IN
A67375	307	26	falling	fall	VBG
A67375	307	27	beyond	beyond	IN
A67375	307	28	the	the	DT
A67375	307	29	Vertex	Vertex	NNP
A67375	307	30	AB	AB	NNP
A67375	307	31	,	,	,
A67375	307	32	(	(	-LRB-
A67375	307	33	which	which	WDT
A67375	307	34	was	be	VBD
A67375	307	35	supposed	suppose	VBN
A67375	307	36	short	short	JJ
A67375	307	37	of	of	IN
A67375	307	38	it	-PRON-	PRP
A67375	307	39	)	)	-RRB-
A67375	307	40	and	and	CC
A67375	307	41	ρσ	ρσ	RB
A67375	307	42	below	below	IN
A67375	307	43	the	the	DT
A67375	307	44	Plain	Plain	NNP
A67375	307	45	ABDC	ABDC	NNP
A67375	307	46	,	,	,
A67375	307	47	which	which	WDT
A67375	307	48	was	be	VBD
A67375	307	49	supposed	suppose	VBN
A67375	307	50	above	above	IN
A67375	307	51	it	-PRON-	PRP
A67375	307	52	.	.	.
A67375	308	1	41	41	CD
A67375	308	2	.	.	.
A67375	309	1	In	in	IN
A67375	309	2	both	both	PDT
A67375	309	3	these	these	DT
A67375	309	4	cases	case	NNS
A67375	309	5	(	(	-LRB-
A67375	309	6	whether	whether	IN
A67375	309	7	Dc	Dc	NNP
A67375	309	8	cut	cut	VBD
A67375	309	9	or	or	CC
A67375	309	10	cut	cut	VBD
A67375	309	11	not	not	RB
A67375	309	12	the	the	DT
A67375	309	13	Vertex	Vertex	NNP
A67375	309	14	AB	AB	NNP
A67375	309	15	)	)	-RRB-
A67375	309	16	the	the	DT
A67375	309	17	Curve	Curve	NNP
A67375	309	18	Lines	Lines	NNPS
A67375	309	19	Dσc	Dσc	NNP
A67375	309	20	continued	continue	VBD
A67375	309	21	(	(	-LRB-
A67375	309	22	answering	answer	VBG
A67375	309	23	to	to	IN
A67375	309	24	a	a	DT
A67375	309	25	sutable	sutable	JJ
A67375	309	26	continuation	continuation	NN
A67375	309	27	of	of	IN
A67375	309	28	the	the	DT
A67375	309	29	Solid	Solid	NNPS
A67375	309	30	)	)	-RRB-
A67375	309	31	will	will	MD
A67375	309	32	again	again	RB
A67375	309	33	meet	meet	VB
A67375	309	34	with	with	IN
A67375	309	35	their	-PRON-	PRP$
A67375	309	36	Axes	Axes	NNP
A67375	309	37	(	(	-LRB-
A67375	309	38	continued	continue	VBD
A67375	309	39	)	)	-RRB-
A67375	309	40	at	at	IN
A67375	309	41	δ	δ	NNP
A67375	309	42	(	(	-LRB-
A67375	309	43	as	as	RB
A67375	309	44	far	far	RB
A67375	309	45	beyond	beyond	IN
A67375	309	46	c	c	NN
A67375	309	47	,	,	,
A67375	309	48	as	as	IN
A67375	309	49	D	D	NNP
A67375	309	50	is	be	VBZ
A67375	309	51	on	on	IN
A67375	309	52	this	this	DT
A67375	309	53	side	side	NN
A67375	309	54	it	-PRON-	PRP
A67375	309	55	)	)	-RRB-
A67375	309	56	.	.	.
A67375	310	1	And	and	CC
A67375	310	2	if	if	IN
A67375	310	3	,	,	,
A67375	310	4	in	in	IN
A67375	310	5	the	the	DT
A67375	310	6	mean	mean	JJ
A67375	310	7	time	time	NN
A67375	310	8	,	,	,
A67375	310	9	the	the	DT
A67375	310	10	Axis	Axis	NNP
A67375	310	11	D	d	NN
A67375	310	12	δ	δ	NN
A67375	310	13	cut	cut	VBD
A67375	310	14	the	the	DT
A67375	310	15	Vertex	Vertex	NNP
A67375	310	16	BA	BA	NNP
A67375	310	17	,	,	,
A67375	310	18	or	or	CC
A67375	310	19	its	-PRON-	PRP$
A67375	310	20	continuation	continuation	NN
A67375	310	21	▪	▪	NN
A67375	310	22	beyond	beyond	IN
A67375	310	23	A	a	NN
A67375	310	24	,	,	,
A67375	310	25	the	the	DT
A67375	310	26	Curve	curve	NN
A67375	310	27	will	will	MD
A67375	310	28	,	,	,
A67375	310	29	in	in	IN
A67375	310	30	the	the	DT
A67375	310	31	same	same	JJ
A67375	310	32	point	point	NN
A67375	310	33	,	,	,
A67375	310	34	cut	cut	VB
A67375	310	35	its	-PRON-	PRP$
A67375	310	36	Axis	Axis	NNP
A67375	310	37	,	,	,
A67375	310	38	and	and	CC
A67375	310	39	(	(	-LRB-
A67375	310	40	passing	pass	VBG
A67375	310	41	thenceforth	thenceforth	NN
A67375	310	42	on	on	IN
A67375	310	43	the	the	DT
A67375	310	44	other	other	JJ
A67375	310	45	side	side	NN
A67375	310	46	)	)	-RRB-
A67375	310	47	meet	meet	VBP
A67375	310	48	with	with	IN
A67375	310	49	it	-PRON-	PRP
A67375	310	50	again	again	RB
A67375	310	51	at	at	IN
A67375	310	52	δ	δ	NN
A67375	310	53	.	.	.
A67375	311	1	42	42	CD
A67375	311	2	.	.	.
A67375	312	1	These	these	DT
A67375	312	2	Curves	Curves	NNPS
A67375	312	3	,	,	,
A67375	312	4	in	in	IN
A67375	312	5	both	both	DT
A67375	312	6	cases	case	NNS
A67375	312	7	,	,	,
A67375	312	8	(	(	-LRB-
A67375	312	9	whether	whether	IN
A67375	312	10	Dc	Dc	NNP
A67375	312	11	cut	cut	VBD
A67375	312	12	or	or	CC
A67375	312	13	cut	cut	VBD
A67375	312	14	not	not	RB
A67375	312	15	the	the	DT
A67375	312	16	Line	Line	NNP
A67375	312	17	BA	BA	NNP
A67375	312	18	,	,	,
A67375	312	19	or	or	CC
A67375	312	20	its	-PRON-	PRP$
A67375	312	21	continuation	continuation	NN
A67375	312	22	)	)	-RRB-
A67375	312	23	supposing	suppose	VBG
A67375	312	24	the	the	DT
A67375	312	25	Line	Line	NNP
A67375	312	26	CA	CA	NNP
A67375	312	27	divided	divide	VBN
A67375	312	28	into	into	IN
A67375	312	29	equal	equal	JJ
A67375	312	30	parts	part	NNS
A67375	312	31	by	by	IN
A67375	312	32	the	the	DT
A67375	312	33	Lines	Lines	NNPS
A67375	312	34	Dc	Dc	NNP
A67375	312	35	,	,	,
A67375	312	36	(	(	-LRB-
A67375	312	37	projected	project	VBN
A67375	312	38	on	on	IN
A67375	312	39	the	the	DT
A67375	312	40	same	same	JJ
A67375	312	41	Plain	Plain	NNP
A67375	312	42	)	)	-RRB-
A67375	312	43	will	will	MD
A67375	312	44	appear	appear	VB
A67375	312	45	as	as	IN
A67375	312	46	in	in	IN
A67375	312	47	the	the	DT
A67375	312	48	fifth	fifth	JJ
A67375	312	49	Projection	Projection	NNP
A67375	312	50	,	,	,
A67375	312	51	Fig	Fig	NNP
A67375	312	52	.	.	.
A67375	313	1	20	20	CD
A67375	313	2	.	.	.
A67375	314	1	Where	where	WRB
A67375	314	2	the	the	DT
A67375	314	3	Lines	Lines	NNPS
A67375	314	4	Dc	Dc	NNP
A67375	314	5	being	be	VBG
A67375	314	6	continued	continue	VBN
A67375	314	7	to	to	IN
A67375	314	8	δ	δ	NN
A67375	314	9	,	,	,
A67375	314	10	are	be	VBP
A67375	314	11	(	(	-LRB-
A67375	314	12	to	to	TO
A67375	314	13	avoid	avoid	VB
A67375	314	14	confusion	confusion	NN
A67375	314	15	in	in	IN
A67375	314	16	the	the	DT
A67375	314	17	Figure	Figure	NNP
A67375	314	18	)	)	-RRB-
A67375	314	19	removed	remove	VBD
A67375	314	20	from	from	IN
A67375	314	21	their	-PRON-	PRP$
A67375	314	22	proper	proper	JJ
A67375	314	23	place	place	NN
A67375	314	24	in	in	IN
A67375	314	25	the	the	DT
A67375	314	26	Plain	Plain	NNP
A67375	314	27	ABDC	ABDC	NNP
A67375	314	28	,	,	,
A67375	314	29	and	and	CC
A67375	314	30	all	all	DT
A67375	314	31	set	set	VBN
A67375	314	32	off	off	RP
A67375	314	33	in	in	IN
A67375	314	34	the	the	DT
A67375	314	35	same	same	JJ
A67375	314	36	streight	streight	JJ
A67375	314	37	Line	Line	NNP
A67375	314	38	CA	CA	NNP
A67375	314	39	continued	continue	VBD
A67375	314	40	;	;	:
A67375	314	41	and	and	CC
A67375	314	42	the	the	DT
A67375	314	43	Lines	Lines	NNPS
A67375	314	44	ρσ	ρσ	NN
A67375	314	45	are	be	VBP
A67375	314	46	applied	apply	VBN
A67375	314	47	to	to	IN
A67375	314	48	them	-PRON-	PRP
A67375	314	49	as	as	IN
A67375	314	50	Ordinates	Ordinates	NNP
A67375	314	51	(	(	-LRB-
A67375	314	52	in	in	IN
A67375	314	53	this	this	DT
A67375	314	54	Position	position	NN
A67375	314	55	)	)	-RRB-
A67375	314	56	in	in	IN
A67375	314	57	such	such	JJ
A67375	314	58	proportion	proportion	NN
A67375	314	59	to	to	IN
A67375	314	60	RS	RS	NNP
A67375	314	61	,	,	,
A67375	314	62	as	as	IN
A67375	314	63	aρ	aρ	NNP
A67375	314	64	is	be	VBZ
A67375	314	65	to	to	TO
A67375	314	66	aR	aR	NNP
A67375	314	67	.	.	.
A67375	315	1	43	43	CD
A67375	315	2	.	.	.
A67375	316	1	The	the	DT
A67375	316	2	Quantities	Quantities	NNPS
A67375	316	3	in	in	IN
A67375	316	4	this	this	DT
A67375	316	5	Projection	Projection	NNP
A67375	316	6	I	-PRON-	PRP
A67375	316	7	thus	thus	RB
A67375	316	8	design	design	VBP
A67375	316	9	in	in	IN
A67375	316	10	Species	Species	NNP
A67375	316	11	.	.	.
A67375	317	1	44	44	CD
A67375	317	2	.	.	.
A67375	318	1	In	in	IN
A67375	318	2	Numbers	number	NNS
A67375	318	3	(	(	-LRB-
A67375	318	4	putting	put	VBG
A67375	318	5	R	r	NN
A67375	318	6	=	=	SYM
A67375	318	7	1	1	CD
A67375	318	8	,	,	,
A67375	318	9	A	a	NN
A67375	318	10	=	=	SYM
A67375	318	11	2	2	CD
A67375	318	12	,	,	,
A67375	318	13	)	)	-RRB-
A67375	318	14	the	the	DT
A67375	318	15	Semi	Semi	NNP
A67375	318	16	-	-	NNS
A67375	318	17	axes	axis	NNS
A67375	318	18	of	of	IN
A67375	318	19	the	the	DT
A67375	318	20	six	six	CD
A67375	318	21	Curves	curve	NNS
A67375	318	22	described	describe	VBN
A67375	318	23	,	,	,
A67375	318	24	Dc	Dc	NNP
A67375	318	25	,	,	,
A67375	318	26	are	be	VBP
A67375	318	27	of	of	IN
A67375	318	28	the	the	DT
A67375	318	29	same	same	JJ
A67375	318	30	length	length	NN
A67375	318	31	with	with	IN
A67375	318	32	Cd	Cd	NNP
A67375	318	33	,	,	,
A67375	318	34	§	§	-LRB-
A67375	318	35	34	34	CD
A67375	318	36	.	.	.
A67375	319	1	And	and	CC
A67375	319	2	the	the	DT
A67375	319	3	Ordinates	Ordinates	NNPS
A67375	319	4	,	,	,
A67375	319	5	supposing	suppose	VBG
A67375	319	6	the	the	DT
A67375	319	7	Semi	Semi	NNP
A67375	319	8	-	-	NNS
A67375	319	9	axes	axis	NNS
A67375	319	10	divided	divide	VBD
A67375	319	11	into	into	IN
A67375	319	12	four	four	CD
A67375	319	13	equal	equal	JJ
A67375	319	14	parts	part	NNS
A67375	319	15	,	,	,
A67375	319	16	are	be	VBP
A67375	319	17	these	these	DT
A67375	319	18	:	:	:
A67375	319	19	I.	i.	NN
A67375	319	20	RS	RS	NNP
A67375	319	21	.	.	.
A67375	320	1	II	ii	CD
A67375	320	2	.	.	.
A67375	321	1	ρσ	ρσ	NNP
A67375	321	2	.	.	.
A67375	322	1	III	iii	CD
A67375	322	2	.	.	.
A67375	323	1	ρσ	ρσ	NNP
A67375	323	2	.	.	.
A67375	324	1	IV	IV	NNP
A67375	324	2	.	.	.
A67375	325	1	ρσ	ρσ	NNP
A67375	325	2	.	.	.
A67375	326	1	V.	V.	NNP
A67375	326	2	ρσ	ρσ	NNP
A67375	326	3	.	.	.
A67375	327	1	VI	VI	NNP
A67375	327	2	.	.	.
A67375	328	1	ρσ	ρσ	NNP
A67375	328	2	.	.	.
A67375	329	1	0	0	NFP
A67375	329	2	.	.	.
A67375	330	1	0	0	NFP
A67375	330	2	.	.	.
A67375	331	1	0	0	NFP
A67375	331	2	.	.	.
A67375	332	1	0	0	NFP
A67375	332	2	.	.	.
A67375	333	1	0	0	NFP
A67375	333	2	.	.	.
A67375	334	1	0	0	NFP
A67375	334	2	.	.	.
A67375	335	1	0.661	0.661	CD
A67375	335	2	0.620	0.620	CD
A67375	335	3	0.579	0.579	CD
A67375	335	4	0.537	0.537	CD
A67375	335	5	0.496	0.496	CD
A67375	335	6	0.455	0.455	CD
A67375	335	7	0.866	0.866	CD
A67375	335	8	0.758	0.758	CD
A67375	335	9	0.650	0.650	CD
A67375	335	10	0.541	0.541	CD
A67375	335	11	0.433	0.433	CD
A67375	335	12	0.325	0.325	CD
A67375	335	13	0.968	0.968	CD
A67375	335	14	0.787	0.787	CD
A67375	335	15	0.605	0.605	CD
A67375	335	16	0.424	0.424	CD
A67375	335	17	0.242	0.242	CD
A67375	335	18	0.061	0.061	CD
A67375	335	19	1	1	CD
A67375	335	20	.	.	.
A67375	336	1	0.75	0.75	CD
A67375	336	2	0.5	0.5	CD
A67375	336	3	0.25	0.25	CD
A67375	336	4	0	0	CD
A67375	336	5	.	.	.
A67375	337	1	−	−	NNP
A67375	337	2	0.25	0.25	CD
A67375	337	3	0.968	0.968	CD
A67375	337	4	0.666	0.666	CD
A67375	337	5	0.363	0.363	CD
A67375	337	6	0	0	CD
A67375	337	7	.	.	.
A67375	338	1	6	6	CD
A67375	338	2	●	●	SYM
A67375	338	3	0	0	CD
A67375	338	4	−	−	NNP
A67375	338	5	0.212	0.212	CD
A67375	338	6	−	−	NNP
A67375	338	7	0.545	0.545	CD
A67375	338	8	0.866	0.866	CD
A67375	338	9	0.541	0.541	CD
A67375	338	10	0.217	0.217	CD
A67375	338	11	−	−	NNP
A67375	338	12	0.108	0.108	CD
A67375	338	13	−	−	NNP
A67375	338	14	0.433	0.433	CD
A67375	338	15	−	−	NNP
A67375	338	16	0.758	0.758	CD
A67375	338	17	0.661	0.661	CD
A67375	338	18	0.372	0.372	CD
A67375	338	19	0.083	0.083	CD
A67375	338	20	−	−	NNP
A67375	338	21	0.207	0.207	CD
A67375	338	22	−	−	NNP
A67375	338	23	0.496	0.496	CD
A67375	338	24	−	−	NNP
A67375	338	25	0.785	0.785	CD
A67375	338	26	0	0	CD
A67375	338	27	.	.	.
A67375	339	1	0	0	NFP
A67375	339	2	.	.	.
A67375	340	1	0	0	NFP
A67375	340	2	.	.	.
A67375	341	1	0	0	NFP
A67375	341	2	.	.	.
A67375	342	1	0	0	NFP
A67375	342	2	.	.	.
A67375	343	1	0	0	NFP
A67375	343	2	.	.	.
A67375	344	1	Or	or	CC
A67375	344	2	(	(	-LRB-
A67375	344	3	for	for	IN
A67375	344	4	a	a	DT
A67375	344	5	more	more	RBR
A67375	344	6	accurate	accurate	JJ
A67375	344	7	describing	describe	VBG
A67375	344	8	the	the	DT
A67375	344	9	Curves	Curves	NNP
A67375	344	10	)	)	-RRB-
A67375	344	11	dividing	divide	VBG
A67375	344	12	the	the	DT
A67375	344	13	Semi	Semi	NNP
A67375	344	14	-	-	HYPH
A67375	344	15	axe	axe	NN
A67375	344	16	into	into	IN
A67375	344	17	16	16	CD
A67375	344	18	parts	part	NNS
A67375	344	19	(	(	-LRB-
A67375	344	20	and	and	CC
A67375	344	21	the	the	DT
A67375	344	22	whole	whole	JJ
A67375	344	23	Axis	Axis	NNP
A67375	344	24	into	into	IN
A67375	344	25	32	32	CD
A67375	344	26	)	)	-RRB-
A67375	344	27	,	,	,
A67375	344	28	the	the	DT
A67375	344	29	Ordinates	Ordinates	NNPS
A67375	344	30	will	will	MD
A67375	344	31	be	be	VB
A67375	344	32	these	these	DT
A67375	344	33	.	.	.
A67375	345	1	I.	I.	NNP
A67375	345	2	RS	RS	NNP
A67375	345	3	.	.	.
A67375	346	1	II	ii	CD
A67375	346	2	.	.	.
A67375	347	1	ρσ	ρσ	NNP
A67375	347	2	.	.	.
A67375	348	1	III	iii	CD
A67375	348	2	.	.	.
A67375	349	1	ρσ	ρσ	NNP
A67375	349	2	.	.	.
A67375	350	1	IV	IV	NNP
A67375	350	2	.	.	.
A67375	351	1	ρσ	ρσ	NNP
A67375	351	2	.	.	.
A67375	352	1	V.	V.	NNP
A67375	352	2	ρσ	ρσ	NNP
A67375	352	3	.	.	.
A67375	353	1	VI	VI	NNP
A67375	353	2	.	.	.
A67375	354	1	ρσ	ρσ	NNP
A67375	354	2	.	.	.
A67375	355	1	0	0	NFP
A67375	355	2	.	.	.
A67375	356	1	0	0	NFP
A67375	356	2	.	.	.
A67375	357	1	0	0	NFP
A67375	357	2	.	.	.
A67375	358	1	0	0	NFP
A67375	358	2	.	.	.
A67375	359	1	0	0	NFP
A67375	359	2	.	.	.
A67375	360	1	0	0	NFP
A67375	360	2	.	.	.
A67375	361	1	0.3481	0.3481	CD
A67375	361	2	0.3426	0.3426	CD
A67375	361	3	0.3372	0.3372	CD
A67375	361	4	0.3318	0.3318	CD
A67375	361	5	0.3263	0.3263	CD
A67375	361	6	0.3209	0.3209	CD
A67375	361	7	0.4841	0.4841	CD
A67375	361	8	0.4690	0.4690	CD
A67375	361	9	0.4539	0.4539	CD
A67375	361	10	0.4387	0.4387	CD
A67375	361	11	0.4236	0.4236	CD
A67375	361	12	0.4085	0.4085	CD
A67375	361	13	0.5830	0.5830	CD
A67375	361	14	0.5556	0.5556	CD
A67375	361	15	0.5283	0.5283	CD
A67375	361	16	0.5010	0.5010	CD
A67375	361	17	0.4736	0.4736	CD
A67375	361	18	0.4461	0.4461	CD
A67375	361	19	0.6614	0.6614	CD
A67375	361	20	0	0	CD
A67375	361	21	.	.	.
A67375	362	1	6	6	CD
A67375	362	2	●	●	CD
A67375	362	3	01	01	CD
A67375	362	4	0.5787	0.5787	CD
A67375	362	5	0.5374	0.5374	CD
A67375	362	6	0.4960	0.4960	CD
A67375	362	7	0.4547	0.4547	CD
A67375	362	8	0.7262	0.7262	CD
A67375	362	9	0.6696	0.6696	CD
A67375	362	10	0.6130	0.6130	CD
A67375	362	11	0.5564	0.5564	CD
A67375	362	12	0.4998	0.4998	CD
A67375	362	13	0.4452	0.4452	CD
A67375	362	14	0.7806	0.7806	CD
A67375	362	15	0.7075	0.7075	CD
A67375	362	16	0.6343	0.6343	CD
A67375	362	17	0.5611	0.5611	CD
A67375	362	18	0.4880	0.4880	CD
A67375	362	19	0.4148	0.4148	CD
A67375	362	20	0.8268	0.8268	CD
A67375	362	21	0.7364	0.7364	CD
A67375	362	22	0.6459	0.6459	CD
A67375	362	23	0.5555	0.5555	CD
A67375	362	24	0.4651	0.4651	CD
A67375	362	25	0.3747	0.3747	CD
A67375	362	26	0.8660	0.8660	CD
A67375	362	27	0.7578	0.7578	CD
A67375	362	28	0.6495	0.6495	CD
A67375	362	29	0.5413	0.5413	CD
A67375	362	30	0.4330	0.4330	CD
A67375	362	31	0.3248	0.3248	CD
A67375	362	32	0.8992	0.8992	CD
A67375	362	33	0.7728	0.7728	CD
A67375	362	34	0.6463	0.6463	CD
A67375	362	35	0.5199	0.5199	CD
A67375	362	36	0.3934	0.3934	CD
A67375	362	37	0.2670	0.2670	CD
A67375	362	38	0.9270	0.9270	CD
A67375	362	39	0.7822	0.7822	CD
A67375	362	40	0.6373	0.6373	CD
A67375	362	41	0.4925	0.4925	CD
A67375	362	42	0.3476	0.3476	CD
A67375	362	43	0.2028	0.2028	CD
A67375	362	44	0.9499	0.9499	CD
A67375	362	45	0.7866	0.7866	CD
A67375	362	46	0.6234	0.6234	CD
A67375	362	47	0.4601	0.4601	CD
A67375	362	48	0.2969	0.2969	CD
A67375	362	49	0.1336	0.1336	CD
A67375	362	50	0.9682	0.9682	CD
A67375	362	51	0.7867	0.7867	CD
A67375	362	52	0.6052	0.6052	CD
A67375	362	53	0.4236	0.4236	CD
A67375	362	54	0.2421	0.2421	CD
A67375	362	55	0.0605	0.0605	CD
A67375	362	56	0.9823	0.9823	CD
A67375	362	57	0.7827	0.7827	CD
A67375	362	58	0.5832	0.5832	CD
A67375	362	59	0.3837	0.3837	CD
A67375	362	60	0.1842	0.1842	CD
A67375	362	61	−	−	NNP
A67375	362	62	0.0153	0.0153	CD
A67375	362	63	0.9922	0.9922	CD
A67375	362	64	0.7750	0.7750	CD
A67375	362	65	0.5581	0.5581	CD
A67375	362	66	0.3411	0.3411	CD
A67375	362	67	0.1240	0.1240	CD
A67375	362	68	−	−	NNP
A67375	362	69	0.0930	0.0930	CD
A67375	362	70	0.9980	0.9980	CD
A67375	362	71	0.7641	0.7641	CD
A67375	362	72	0.5302	0.5302	CD
A67375	362	73	0.2963	0.2963	CD
A67375	362	74	0.0624	0.0624	CD
A67375	362	75	−	−	NNP
A67375	362	76	0.1715	0.1715	CD
A67375	362	77	1	1	CD
A67375	362	78	.	.	.
A67375	363	1	0.75	0.75	CD
A67375	363	2	0	0	CD
A67375	363	3	▪	▪	NN
A67375	363	4	5	5	CD
A67375	363	5	0.25	0.25	CD
A67375	363	6	0	0	CD
A67375	363	7	.	.	.
A67375	364	1	−	−	NNP
A67375	364	2	0.25	0.25	CD
A67375	364	3	0.9980	0.9980	CD
A67375	364	4	0.7329	0.7329	CD
A67375	364	5	0.4678	0.4678	CD
A67375	364	6	0.2027	0.2027	CD
A67375	364	7	−	−	NNP
A67375	364	8	0.0624	0.0624	CD
A67375	364	9	−	−	NNP
A67375	364	10	0.3275	0.3275	CD
A67375	364	11	0.9922	0.9922	CD
A67375	364	12	0.7131	0.7131	CD
A67375	364	13	0.4341	0.4341	CD
A67375	364	14	0.1550	0.1550	CD
A67375	364	15	−	−	NNP
A67375	364	16	0.1240	0.1240	CD
A67375	364	17	−	−	NNP
A67375	364	18	0.4031	0.4031	CD
A67375	364	19	0.9823	0.9823	CD
A67375	364	20	0.6906	0.6906	CD
A67375	364	21	0.3990	0.3990	CD
A67375	364	22	0.1074	0.1074	CD
A67375	364	23	−	−	NNP
A67375	364	24	0.1842	0.1842	CD
A67375	364	25	−	−	NNP
A67375	364	26	0.4758	0.4758	CD
A67375	364	27	0.9682	0.9682	CD
A67375	364	28	0.6657	0.6657	CD
A67375	364	29	0.3631	0.3631	CD
A67375	364	30	0.0605	0.0605	CD
A67375	364	31	−	−	NNP
A67375	364	32	0.2421	0.2421	NFP
A67375	364	33	−	−	NNP
A67375	364	34	0.5446	0.5446	CD
A67375	364	35	0.9499	0.9499	CD
A67375	364	36	0.6382	0.6382	CD
A67375	364	37	0.3265	0.3265	CD
A67375	364	38	0.0148	0.0148	CD
A67375	364	39	−	−	NNP
A67375	364	40	0.2969	0.2969	CD
A67375	364	41	−	−	NNP
A67375	364	42	0.6085	0.6085	CD
A67375	364	43	0.9270	0.9270	CD
A67375	364	44	0.6084	0.6084	CD
A67375	364	45	0.2897	0.2897	CD
A67375	364	46	−	−	NNP
A67375	364	47	0.0290	0.0290	CD
A67375	364	48	−	−	NNP
A67375	364	49	0.3476	0.3476	CD
A67375	364	50	−	−	NNP
A67375	364	51	0.6663	0.6663	CD
A67375	364	52	0.8992	0.8992	CD
A67375	364	53	0.5761	0.5761	CD
A67375	364	54	0.2529	0.2529	CD
A67375	364	55	−	−	NNP
A67375	364	56	0.0713	0.0713	CD
A67375	364	57	−	−	NNP
A67375	364	58	0.3934	0.3934	SYM
A67375	364	59	−	−	NNP
A67375	364	60	0.7166	0.7166	CD
A67375	364	61	0.8660	0.8660	CD
A67375	364	62	0.5413	0.5413	CD
A67375	364	63	0.2165	0.2165	CD
A67375	364	64	−	−	NNP
A67375	364	65	0.1083	0.1083	CD
A67375	364	66	−	−	NNP
A67375	364	67	0.4330	0.4330	NFP
A67375	364	68	−	−	NNP
A67375	364	69	0.7578	0.7578	CD
A67375	364	70	0.8268	0.8268	CD
A67375	364	71	0.5038	0.5038	CD
A67375	364	72	0.1809	0.1809	CD
A67375	364	73	−	−	NNP
A67375	364	74	0.1421	0.1421	CD
A67375	364	75	−	−	NNP
A67375	364	76	0.4651	0.4651	CD
A67375	364	77	−	−	NNP
A67375	364	78	0.7880	0.7880	CD
A67375	364	79	0.7806	0.7806	CD
A67375	364	80	0.4635	0.4635	CD
A67375	364	81	0.1463	0.1463	CD
A67375	364	82	−	−	NNP
A67375	364	83	0.1708	0.1708	CD
A67375	364	84	−	−	NNP
A67375	364	85	0.4880	0.4880	CD
A67375	364	86	−	−	NNP
A67375	364	87	0.8051	0.8051	CD
A67375	364	88	0.7262	0.7262	CD
A67375	364	89	0.4197	0.4197	CD
A67375	364	90	0.1132	0.1132	CD
A67375	364	91	−	−	NNP
A67375	364	92	0	0	CD
A67375	364	93	.	.	.
A67375	365	1	●	●	NFP
A67375	365	2	933	933	CD
A67375	365	3	−	−	NNP
A67375	365	4	0.4998	0.4998	CD
A67375	365	5	−	−	NNP
A67375	365	6	0.8043	0.8043	CD
A67375	365	7	0.6614	0.6614	CD
A67375	365	8	0.3721	0.3721	CD
A67375	365	9	0.0827	0.0827	CD
A67375	365	10	−	−	NNP
A67375	365	11	0	0	CD
A67375	365	12	.	.	.
A67375	366	1	2	2	LS
A67375	366	2	●	●	SYM
A67375	366	3	●	●	$
A67375	366	4	7	7	CD
A67375	366	5	−	−	NNP
A67375	366	6	0	0	CD
A67375	366	7	.	.	.
A67375	367	1	4	4	LS
A67375	367	2	●	●	CD
A67375	367	3	60	60	CD
A67375	367	4	−	−	NNP
A67375	367	5	0.7854	0.7854	CD
A67375	367	6	0.5830	0.5830	CD
A67375	367	7	0.3188	0.3188	CD
A67375	367	8	0.0546	0.0546	CD
A67375	367	9	−	−	NNP
A67375	367	10	0.2095	0.2095	CD
A67375	367	11	−	−	NNP
A67375	367	12	0.4736	0.4736	CD
A67375	367	13	−	−	NNP
A67375	367	14	0.7378	0.7378	CD
A67375	367	15	0.4841	0.4841	CD
A67375	367	16	0.2572	0.2572	CD
A67375	367	17	0.0303	0.0303	CD
A67375	367	18	−	−	NNP
A67375	367	19	0.1967	0.1967	CD
A67375	367	20	−	−	NNP
A67375	367	21	0.4236	0.4236	CD
A67375	367	22	−	−	NNP
A67375	367	23	0.6505	0.6505	CD
A67375	367	24	0.3481	0.3481	CD
A67375	367	25	0.1795	0.1795	CD
A67375	367	26	0.0109	0.0109	CD
A67375	367	27	−	−	NNP
A67375	367	28	0.1577	0.1577	CD
A67375	367	29	−	−	NNP
A67375	367	30	0.3263	0.3263	CD
A67375	367	31	−	−	NNP
A67375	367	32	0.4949	0.4949	CD
A67375	367	33	0	0	CD
A67375	367	34	.	.	.
A67375	368	1	0	0	NFP
A67375	368	2	.	.	.
A67375	369	1	0	0	NFP
A67375	369	2	.	.	.
A67375	370	1	−	−	NNP
A67375	370	2	0	0	CD
A67375	370	3	.	.	.
A67375	371	1	−	−	NNP
A67375	371	2	0	0	CD
A67375	371	3	.	.	.
A67375	372	1	−	−	NNP
A67375	372	2	0	0	CD
A67375	372	3	.	.	.
A67375	373	1	45	45	CD
A67375	373	2	.	.	.
A67375	374	1	Sixthly	sixthly	RB
A67375	374	2	;	;	:
A67375	374	3	If	if	IN
A67375	374	4	it	-PRON-	PRP
A67375	374	5	be	be	VB
A67375	374	6	cut	cut	VBN
A67375	374	7	by	by	IN
A67375	374	8	a	a	DT
A67375	374	9	Plain	Plain	NNP
A67375	374	10	Bqc	Bqc	NNP
A67375	374	11	,	,	,
A67375	374	12	passing	pass	VBG
A67375	374	13	through	through	IN
A67375	374	14	B	b	NN
A67375	374	15	(	(	-LRB-
A67375	374	16	Fig	fig	NN
A67375	374	17	.	.	.
A67375	375	1	7	7	LS
A67375	375	2	.	.	.
A67375	375	3	)	)	-RRB-
A67375	376	1	perpendicular	perpendicular	JJ
A67375	376	2	to	to	IN
A67375	376	3	the	the	DT
A67375	376	4	Rectangle	Rectangle	NNP
A67375	376	5	ABDC	ABDC	NNP
A67375	376	6	,	,	,
A67375	376	7	and	and	CC
A67375	376	8	cutting	cut	VBG
A67375	376	9	the	the	DT
A67375	376	10	Side	Side	NNP
A67375	376	11	AC	AC	NNP
A67375	376	12	in	in	IN
A67375	376	13	c	c	NN
A67375	376	14	,	,	,
A67375	376	15	(	(	-LRB-
A67375	376	16	and	and	CC
A67375	376	17	any	any	DT
A67375	376	18	of	of	IN
A67375	376	19	the	the	DT
A67375	376	20	Triangles	Triangles	NNP
A67375	376	21	RSa	RSa	NNS
A67375	376	22	in	in	IN
A67375	376	23	ρσ	ρσ	NN
A67375	376	24	)	)	-RRB-
A67375	376	25	the	the	DT
A67375	376	26	Curve	Curve	NNP
A67375	376	27	Line	Line	NNP
A67375	376	28	will	will	MD
A67375	376	29	have	have	VB
A67375	376	30	this	this	DT
A67375	376	31	property	property	NN
A67375	376	32	:	:	:
A67375	376	33	As	as	IN
A67375	376	34	AC	AC	NNP
A67375	376	35	,	,	,
A67375	376	36	or	or	CC
A67375	376	37	aR	aR	NNP
A67375	376	38	,	,	,
A67375	376	39	to	to	IN
A67375	376	40	aρ	aρ	NNP
A67375	376	41	;	;	:
A67375	376	42	So	so	CC
A67375	376	43	is	be	VBZ
A67375	376	44	RS	RS	NNP
A67375	376	45	,	,	,
A67375	376	46	to	to	IN
A67375	376	47	ρσ	ρσ	NNP
A67375	376	48	.	.	.
A67375	377	1	The	the	DT
A67375	377	2	length	length	NN
A67375	377	3	of	of	IN
A67375	377	4	aρ	aρ	NN
A67375	377	5	being	be	VBG
A67375	377	6	first	first	RB
A67375	377	7	found	find	VBN
A67375	377	8	thus	thus	RB
A67375	377	9	:	:	:
A67375	377	10	As	as	IN
A67375	377	11	BA	BA	NNP
A67375	377	12	to	to	IN
A67375	377	13	Ba	Ba	NNP
A67375	377	14	,	,	,
A67375	377	15	or	or	CC
A67375	377	16	Bc	Bc	NNP
A67375	377	17	to	to	IN
A67375	377	18	Bρ	Bρ	NNP
A67375	377	19	;	;	:
A67375	377	20	So	so	CC
A67375	377	21	is	be	VBZ
A67375	377	22	Ac	Ac	NNP
A67375	377	23	to	to	TO
A67375	377	24	aρ	aρ	VB
A67375	377	25	.	.	.
A67375	378	1	46	46	CD
A67375	378	2	.	.	.
A67375	379	1	In	in	IN
A67375	379	2	Species	Species	NNP
A67375	379	3	,	,	,
A67375	379	4	thus	thus	RB
A67375	379	5	:	:	:
A67375	379	6	47	47	CD
A67375	379	7	.	.	.
A67375	380	1	But	but	CC
A67375	380	2	if	if	IN
A67375	380	3	this	this	DT
A67375	380	4	Plain	Plain	NNP
A67375	380	5	(	(	-LRB-
A67375	380	6	passing	pass	VBG
A67375	380	7	by	by	IN
A67375	380	8	B	b	NN
A67375	380	9	)	)	-RRB-
A67375	380	10	cut	cut	VB
A67375	380	11	the	the	DT
A67375	380	12	Line	Line	NNP
A67375	380	13	DC	DC	NNP
A67375	380	14	in	in	IN
A67375	380	15	any	any	DT
A67375	380	16	Point	Point	NNP
A67375	380	17	P	P	NNP
A67375	380	18	,	,	,
A67375	380	19	before	before	IN
A67375	380	20	it	-PRON-	PRP
A67375	380	21	come	come	VBP
A67375	380	22	at	at	IN
A67375	380	23	c	c	NN
A67375	380	24	in	in	IN
A67375	380	25	the	the	DT
A67375	380	26	continuation	continuation	NN
A67375	380	27	of	of	IN
A67375	380	28	AC	AC	NNP
A67375	380	29	,	,	,
A67375	380	30	the	the	DT
A67375	380	31	Curve	Curve	NNP
A67375	380	32	Line	Line	NNP
A67375	380	33	will	will	MD
A67375	380	34	have	have	VB
A67375	380	35	this	this	DT
A67375	380	36	property	property	NN
A67375	380	37	:	:	:
A67375	380	38	Cutting	cut	VBG
A67375	380	39	the	the	DT
A67375	380	40	same	same	JJ
A67375	380	41	Plain	Plain	NNP
A67375	380	42	(	(	-LRB-
A67375	380	43	as	as	IN
A67375	380	44	before	before	RB
A67375	380	45	)	)	-RRB-
A67375	380	46	by	by	IN
A67375	380	47	any	any	DT
A67375	380	48	of	of	IN
A67375	380	49	the	the	DT
A67375	380	50	Triangles	Triangles	NNP
A67375	380	51	RSa	RSa	NNS
A67375	380	52	parallel	parallel	JJ
A67375	380	53	to	to	IN
A67375	380	54	CQA	CQA	NNP
A67375	380	55	,	,	,
A67375	380	56	it	-PRON-	PRP
A67375	380	57	will	will	MD
A67375	380	58	be	be	VB
A67375	380	59	,	,	,
A67375	380	60	As	as	IN
A67375	380	61	DP	dp	NN
A67375	380	62	to	to	IN
A67375	380	63	DR	dr	NN
A67375	380	64	;	;	:
A67375	380	65	or	or	CC
A67375	380	66	,	,	,
A67375	380	67	As	as	IN
A67375	380	68	BP	BP	NNP
A67375	380	69	to	to	IN
A67375	380	70	Bρ	Bρ	NNP
A67375	380	71	;	;	,
A67375	380	72	or	or	CC
A67375	380	73	,	,	,
A67375	380	74	aR	aR	NNP
A67375	380	75	(	(	-LRB-
A67375	380	76	=	=	SYM
A67375	380	77	AC	AC	NNP
A67375	380	78	)	)	-RRB-
A67375	380	79	to	to	TO
A67375	380	80	aρ	aρ	NNP
A67375	380	81	;	;	:
A67375	380	82	So	so	RB
A67375	380	83	RS	RS	NNP
A67375	380	84	to	to	IN
A67375	380	85	ρσ	ρσ	NNP
A67375	380	86	.	.	.
A67375	381	1	48	48	CD
A67375	381	2	.	.	.
A67375	382	1	In	in	IN
A67375	382	2	Species	Species	NNP
A67375	382	3	,	,	,
A67375	382	4	thus	thus	RB
A67375	382	5	:	:	:
A67375	382	6	49	49	CD
A67375	382	7	.	.	.
A67375	383	1	Or	or	CC
A67375	383	2	else	else	RB
A67375	383	3	,	,	,
A67375	383	4	continuing	continue	VBG
A67375	383	5	DP	dp	NN
A67375	383	6	till	till	IN
A67375	383	7	it	-PRON-	PRP
A67375	383	8	cut	cut	VBD
A67375	383	9	AC	AC	NNP
A67375	383	10	(	(	-LRB-
A67375	383	11	continued	continue	VBN
A67375	383	12	)	)	-RRB-
A67375	383	13	in	in	IN
A67375	383	14	c	c	NN
A67375	383	15	,	,	,
A67375	383	16	the	the	DT
A67375	383	17	Proportions	Proportions	NNPS
A67375	383	18	will	will	MD
A67375	383	19	be	be	VB
A67375	383	20	as	as	RB
A67375	383	21	before	before	RB
A67375	383	22	at	at	IN
A67375	383	23	§	§	CD
A67375	383	24	45	45	CD
A67375	383	25	,	,	,
A67375	383	26	46	46	CD
A67375	383	27	.	.	.
A67375	384	1	50	50	CD
A67375	384	2	.	.	.
A67375	385	1	But	but	CC
A67375	385	2	in	in	IN
A67375	385	3	this	this	DT
A67375	385	4	Section	Section	NNP
A67375	385	5	,	,	,
A67375	385	6	the	the	DT
A67375	385	7	Curve	curve	NN
A67375	385	8	doth	doth	NN
A67375	385	9	not	not	RB
A67375	385	10	cut	cut	VB
A67375	385	11	its	-PRON-	PRP$
A67375	385	12	Axis	Axis	NNP
A67375	385	13	at	at	IN
A67375	385	14	P	p	NN
A67375	385	15	(	(	-LRB-
A67375	385	16	as	as	IN
A67375	385	17	in	in	IN
A67375	385	18	the	the	DT
A67375	385	19	two	two	CD
A67375	385	20	Sections	section	NNS
A67375	385	21	last	last	JJ
A67375	385	22	mentioned	mention	VBD
A67375	385	23	at	at	IN
A67375	385	24	b	b	NN
A67375	385	25	)	)	-RRB-
A67375	385	26	,	,	,
A67375	385	27	but	but	CC
A67375	385	28	continues	continue	VBZ
A67375	385	29	on	on	IN
A67375	385	30	the	the	DT
A67375	385	31	same	same	JJ
A67375	385	32	side	side	NN
A67375	385	33	of	of	IN
A67375	385	34	it	-PRON-	PRP
A67375	385	35	,	,	,
A67375	385	36	till	till	IN
A67375	385	37	it	-PRON-	PRP
A67375	385	38	meet	meet	VB
A67375	385	39	again	again	RB
A67375	385	40	(	(	-LRB-
A67375	385	41	if	if	IN
A67375	385	42	it	-PRON-	PRP
A67375	385	43	be	be	VB
A67375	385	44	continued	continue	VBN
A67375	385	45	)	)	-RRB-
A67375	385	46	at	at	IN
A67375	385	47	β	β	NN
A67375	385	48	.	.	.
A67375	386	1	And	and	CC
A67375	386	2	(	(	-LRB-
A67375	386	3	in	in	IN
A67375	386	4	case	case	NN
A67375	386	5	of	of	IN
A67375	386	6	such	such	JJ
A67375	386	7	continuation	continuation	NN
A67375	386	8	)	)	-RRB-
A67375	386	9	instead	instead	RB
A67375	386	10	of	of	IN
A67375	386	11	DR	DR	NNP
A67375	386	12	=	=	SYM
A67375	386	13	R	R	NNP
A67375	386	14	−	−	NNP
A67375	386	15	c	c	NN
A67375	386	16	,	,	,
A67375	386	17	it	-PRON-	PRP
A67375	386	18	will	will	MD
A67375	386	19	be	be	VB
A67375	386	20	DR	DR	NNP
A67375	386	21	=	=	SYM
A67375	386	22	R+c	R+c	NNP
A67375	386	23	,	,	,
A67375	386	24	where	where	WRB
A67375	386	25	the	the	DT
A67375	386	26	Point	Point	NNP
A67375	386	27	R	R	NNP
A67375	386	28	is	be	VBZ
A67375	386	29	beyond	beyond	IN
A67375	386	30	the	the	DT
A67375	386	31	Line	Line	NNP
A67375	386	32	AC	AC	NNP
A67375	386	33	:	:	:
A67375	386	34	And	and	CC
A67375	386	35	,	,	,
A67375	386	36	in	in	IN
A67375	386	37	like	like	JJ
A67375	386	38	manner	manner	NN
A67375	386	39	,	,	,
A67375	386	40	if	if	IN
A67375	386	41	after	after	IN
A67375	386	42	Bc	Bc	NNP
A67375	386	43	have	have	VBP
A67375	386	44	cut	cut	VBN
A67375	386	45	AC	AC	NNP
A67375	386	46	in	in	IN
A67375	386	47	c	c	NN
A67375	386	48	,	,	,
A67375	386	49	it	-PRON-	PRP
A67375	386	50	cut	cut	VBD
A67375	386	51	the	the	DT
A67375	386	52	continuation	continuation	NN
A67375	386	53	of	of	IN
A67375	386	54	AB	AB	NNP
A67375	386	55	in	in	IN
A67375	386	56	P	p	NN
A67375	386	57	,	,	,
A67375	386	58	then	then	RB
A67375	386	59	,	,	,
A67375	386	60	instead	instead	RB
A67375	386	61	of	of	IN
A67375	386	62	DP	dp	NN
A67375	386	63	=	=	SYM
A67375	386	64	R	R	NNP
A67375	386	65	−	−	NNP
A67375	386	66	C	C	NNP
A67375	386	67	,	,	,
A67375	386	68	it	-PRON-	PRP
A67375	386	69	will	will	MD
A67375	386	70	be	be	VB
A67375	386	71	DP	DP	NNP
A67375	386	72	=	=	NFP
A67375	386	73	R+C.	r+c.	JJ
A67375	387	1	51	51	CD
A67375	387	2	.	.	.
A67375	388	1	In	in	IN
A67375	388	2	both	both	DT
A67375	388	3	cases	case	NNS
A67375	388	4	(	(	-LRB-
A67375	388	5	whether	whether	IN
A67375	388	6	Bc	Bc	NNP
A67375	388	7	cut	cut	VBD
A67375	388	8	AC	AC	NNP
A67375	388	9	above	above	IN
A67375	388	10	or	or	CC
A67375	388	11	below	below	IN
A67375	388	12	the	the	DT
A67375	388	13	Point	Point	NNP
A67375	388	14	C	C	NNP
A67375	388	15	)	)	-RRB-
A67375	388	16	the	the	DT
A67375	388	17	Curve	Curve	NNP
A67375	388	18	Lines	line	NNS
A67375	388	19	Bσc	Bσc	NNP
A67375	388	20	continued	continue	VBD
A67375	388	21	(	(	-LRB-
A67375	388	22	answering	answer	VBG
A67375	388	23	to	to	IN
A67375	388	24	a	a	DT
A67375	388	25	sutable	sutable	JJ
A67375	388	26	continuation	continuation	NN
A67375	388	27	of	of	IN
A67375	388	28	the	the	DT
A67375	388	29	Solid	Solid	NNPS
A67375	388	30	)	)	-RRB-
A67375	388	31	will	will	MD
A67375	388	32	again	again	RB
A67375	388	33	meet	meet	VB
A67375	388	34	with	with	IN
A67375	388	35	their	-PRON-	PRP$
A67375	388	36	Axes	Axes	NNP
A67375	388	37	(	(	-LRB-
A67375	388	38	continued	continue	VBD
A67375	388	39	)	)	-RRB-
A67375	388	40	at	at	IN
A67375	388	41	●	●	NFP
A67375	388	42	β	β	XX
A67375	388	43	,	,	,
A67375	388	44	as	as	RB
A67375	388	45	far	far	RB
A67375	388	46	beyond	beyond	IN
A67375	388	47	c	c	NN
A67375	388	48	as	as	IN
A67375	388	49	B	b	NN
A67375	388	50	is	be	VBZ
A67375	388	51	on	on	IN
A67375	388	52	this	this	DT
A67375	388	53	side	side	NN
A67375	388	54	it	-PRON-	PRP
A67375	388	55	;	;	:
A67375	388	56	but	but	CC
A67375	388	57	continues	continue	VBZ
A67375	388	58	all	all	RB
A67375	388	59	on	on	IN
A67375	388	60	the	the	DT
A67375	388	61	same	same	JJ
A67375	388	62	side	side	NN
A67375	388	63	of	of	IN
A67375	388	64	its	-PRON-	PRP$
A67375	388	65	Axis	Axis	NNP
A67375	388	66	,	,	,
A67375	388	67	without	without	IN
A67375	388	68	cutting	cut	VBG
A67375	388	69	it	-PRON-	PRP
A67375	388	70	in	in	IN
A67375	388	71	the	the	DT
A67375	388	72	way	way	NN
A67375	388	73	,	,	,
A67375	388	74	as	as	IN
A67375	388	75	in	in	IN
A67375	388	76	the	the	DT
A67375	388	77	two	two	CD
A67375	388	78	last	last	JJ
A67375	388	79	mentioned	mention	VBN
A67375	388	80	Sections	section	NNS
A67375	388	81	.	.	.
A67375	389	1	52	52	CD
A67375	389	2	.	.	.
A67375	390	1	In	in	IN
A67375	390	2	both	both	DT
A67375	390	3	cases	case	NNS
A67375	390	4	(	(	-LRB-
A67375	390	5	whether	whether	IN
A67375	390	6	Bc	Bc	NNP
A67375	390	7	cut	cut	VBD
A67375	390	8	or	or	CC
A67375	390	9	cut	cut	VBD
A67375	390	10	not	not	RB
A67375	390	11	DC	DC	NNP
A67375	390	12	)	)	-RRB-
A67375	390	13	the	the	DT
A67375	390	14	Curve	Curve	NNP
A67375	390	15	Lines	Lines	NNPS
A67375	390	16	Bσcβ	Bσcβ	NNP
A67375	390	17	transferred	transfer	VBD
A67375	390	18	to	to	IN
A67375	390	19	one	one	CD
A67375	390	20	and	and	CC
A67375	390	21	the	the	DT
A67375	390	22	same	same	JJ
A67375	390	23	Plain	Plain	NNP
A67375	390	24	,	,	,
A67375	390	25	(	(	-LRB-
A67375	390	26	supposing	suppose	VBG
A67375	390	27	the	the	DT
A67375	390	28	Line	Line	NNP
A67375	390	29	AC	AC	NNP
A67375	390	30	divided	divide	VBN
A67375	390	31	into	into	IN
A67375	390	32	equal	equal	JJ
A67375	390	33	parts	part	NNS
A67375	390	34	at	at	IN
A67375	390	35	the	the	DT
A67375	390	36	Points	Points	NNPS
A67375	390	37	c	c	NNP
A67375	390	38	)	)	-RRB-
A67375	390	39	will	will	MD
A67375	390	40	appear	appear	VB
A67375	390	41	as	as	IN
A67375	390	42	in	in	IN
A67375	390	43	the	the	DT
A67375	390	44	sixth	sixth	JJ
A67375	390	45	Projection	Projection	NNP
A67375	390	46	,	,	,
A67375	390	47	Fig	Fig	NNP
A67375	390	48	.	.	.
A67375	391	1	21	21	LS
A67375	391	2	.	.	.
A67375	391	3	where	where	WRB
A67375	391	4	the	the	DT
A67375	391	5	Lines	Lines	NNPS
A67375	391	6	Bc	Bc	NNP
A67375	391	7	are	be	VBP
A67375	391	8	continued	continue	VBN
A67375	391	9	to	to	IN
A67375	391	10	β	β	NNP
A67375	391	11	,	,	,
A67375	391	12	and	and	CC
A67375	391	13	then	then	RB
A67375	391	14	(	(	-LRB-
A67375	391	15	to	to	TO
A67375	391	16	avoid	avoid	VB
A67375	391	17	confusion	confusion	NN
A67375	391	18	in	in	IN
A67375	391	19	the	the	DT
A67375	391	20	Figure	Figure	NNP
A67375	391	21	)	)	-RRB-
A67375	391	22	removed	remove	VBD
A67375	391	23	from	from	IN
A67375	391	24	their	-PRON-	PRP$
A67375	391	25	proper	proper	JJ
A67375	391	26	place	place	NN
A67375	391	27	in	in	IN
A67375	391	28	the	the	DT
A67375	391	29	Plain	Plain	NNP
A67375	391	30	ABDC	ABDC	NNP
A67375	391	31	,	,	,
A67375	391	32	and	and	CC
A67375	391	33	all	all	DT
A67375	391	34	set	set	VBN
A67375	391	35	off	off	RP
A67375	391	36	in	in	IN
A67375	391	37	the	the	DT
A67375	391	38	same	same	JJ
A67375	391	39	streight	streight	JJ
A67375	391	40	Line	Line	NNP
A67375	391	41	AC	AC	NNP
A67375	391	42	(	(	-LRB-
A67375	391	43	continued	continued	JJ
A67375	391	44	)	)	-RRB-
A67375	391	45	,	,	,
A67375	391	46	and	and	CC
A67375	391	47	the	the	DT
A67375	391	48	Lines	Lines	NNPS
A67375	391	49	ρσ	ρσ	IN
A67375	391	50	applied	apply	VBD
A67375	391	51	to	to	IN
A67375	391	52	them	-PRON-	PRP
A67375	391	53	as	as	IN
A67375	391	54	Ordinates	Ordinates	NNP
A67375	391	55	(	(	-LRB-
A67375	391	56	in	in	IN
A67375	391	57	this	this	DT
A67375	391	58	Position	position	NN
A67375	391	59	)	)	-RRB-
A67375	391	60	in	in	IN
A67375	391	61	such	such	JJ
A67375	391	62	proportion	proportion	NN
A67375	391	63	to	to	IN
A67375	391	64	RS	RS	NNP
A67375	391	65	,	,	,
A67375	391	66	as	as	IN
A67375	391	67	aρ	aρ	NNP
A67375	391	68	to	to	IN
A67375	391	69	aR	aR	NNP
A67375	391	70	.	.	.
A67375	392	1	53	53	CD
A67375	392	2	.	.	.
A67375	393	1	The	the	DT
A67375	393	2	Quantities	Quantities	NNPS
A67375	393	3	in	in	IN
A67375	393	4	this	this	DT
A67375	393	5	Projection	Projection	NNP
A67375	393	6	,	,	,
A67375	393	7	I	-PRON-	PRP
A67375	393	8	thus	thus	RB
A67375	393	9	design	design	VBP
A67375	393	10	in	in	IN
A67375	393	11	Species	Species	NNP
A67375	393	12	.	.	.
A67375	394	1	54	54	CD
A67375	394	2	.	.	.
A67375	395	1	In	in	IN
A67375	395	2	Numbers	number	NNS
A67375	395	3	(	(	-LRB-
A67375	395	4	putting	put	VBG
A67375	395	5	R	r	NN
A67375	395	6	=	=	SYM
A67375	395	7	1	1	CD
A67375	395	8	,	,	,
A67375	395	9	A	a	NN
A67375	395	10	=	=	SYM
A67375	395	11	2	2	CD
A67375	395	12	,	,	,
A67375	395	13	)	)	-RRB-
A67375	395	14	the	the	DT
A67375	395	15	Semi	Semi	NNP
A67375	395	16	-	-	NNS
A67375	395	17	axes	axis	NNS
A67375	395	18	of	of	IN
A67375	395	19	the	the	DT
A67375	395	20	five	five	CD
A67375	395	21	Curves	curve	NNS
A67375	395	22	described	describe	VBN
A67375	395	23	,	,	,
A67375	395	24	Bc	Bc	NNP
A67375	395	25	,	,	,
A67375	395	26	are	be	VBP
A67375	395	27	of	of	IN
A67375	395	28	the	the	DT
A67375	395	29	same	same	JJ
A67375	395	30	length	length	NN
A67375	395	31	with	with	IN
A67375	395	32	Cd	Cd	NNP
A67375	395	33	,	,	,
A67375	395	34	and	and	CC
A67375	395	35	Dc	Dc	NNP
A67375	395	36	,	,	,
A67375	395	37	§	§	ADD
A67375	395	38	34	34	CD
A67375	395	39	,	,	,
A67375	395	40	44	44	CD
A67375	395	41	.	.	.
A67375	395	42	save	save	VB
A67375	395	43	that	that	IN
A67375	395	44	the	the	DT
A67375	395	45	first	first	JJ
A67375	395	46	of	of	IN
A67375	395	47	those	those	DT
A67375	395	48	(	(	-LRB-
A67375	395	49	which	which	WDT
A67375	395	50	is	be	VBZ
A67375	395	51	the	the	DT
A67375	395	52	circumference	circumference	NN
A67375	395	53	of	of	IN
A67375	395	54	a	a	DT
A67375	395	55	Circle	Circle	NNP
A67375	395	56	)	)	-RRB-
A67375	395	57	is	be	VBZ
A67375	395	58	here	here	RB
A67375	395	59	omitted	omit	VBN
A67375	395	60	;	;	:
A67375	395	61	(	(	-LRB-
A67375	395	62	instead	instead	RB
A67375	395	63	of	of	IN
A67375	395	64	which	which	WDT
A67375	395	65	,	,	,
A67375	395	66	in	in	IN
A67375	395	67	this	this	DT
A67375	395	68	case	case	NN
A67375	395	69	,	,	,
A67375	395	70	we	-PRON-	PRP
A67375	395	71	should	should	MD
A67375	395	72	have	have	VB
A67375	395	73	a	a	DT
A67375	395	74	streight	streight	JJ
A67375	395	75	Line	Line	NNP
A67375	395	76	,	,	,
A67375	395	77	coincident	coincident	NN
A67375	395	78	with	with	IN
A67375	395	79	its	-PRON-	PRP$
A67375	395	80	Axe	Axe	NNP
A67375	395	81	BA	BA	NNP
A67375	395	82	.	.	.
A67375	395	83	)	)	-RRB-
A67375	396	1	I.	I.	NNP
A67375	396	2	Bc	Bc	NNP
A67375	396	3	.	.	.
A67375	397	1	II	ii	CD
A67375	397	2	.	.	.
A67375	398	1	Bc	Bc	NNP
A67375	398	2	.	.	.
A67375	399	1	III	iii	CD
A67375	399	2	.	.	.
A67375	400	1	Bc	Bc	NNP
A67375	400	2	.	.	.
A67375	401	1	IV	IV	NNP
A67375	401	2	.	.	.
A67375	402	1	Bc	Bc	NNP
A67375	402	2	.	.	.
A67375	403	1	V.	V.	NNP
A67375	403	2	Bc	Bc	NNP
A67375	403	3	.	.	.
A67375	404	1	1.11803	1.11803	CD
A67375	404	2	1.41421	1.41421	CD
A67375	404	3	1.80278	1.80278	CD
A67375	404	4	2.23607	2.23607	CD
A67375	404	5	2.69258	2.69258	CD
A67375	404	6	And	and	CC
A67375	404	7	the	the	DT
A67375	404	8	Ordinates	Ordinates	NNPS
A67375	404	9	,	,	,
A67375	404	10	supposing	suppose	VBG
A67375	404	11	the	the	DT
A67375	404	12	Semi	Semi	NNP
A67375	404	13	-	-	HYPH
A67375	404	14	axis	axis	NNP
A67375	404	15	divided	divide	VBD
A67375	404	16	into	into	IN
A67375	404	17	four	four	CD
A67375	404	18	parts	part	NNS
A67375	404	19	,	,	,
A67375	404	20	are	be	VBP
A67375	404	21	these	these	DT
A67375	404	22	:	:	:
A67375	404	23	I.	i.	NN
A67375	404	24	ρσ	ρσ	NN
A67375	404	25	.	.	.
A67375	405	1	II	ii	CD
A67375	405	2	.	.	.
A67375	406	1	ρσ	ρσ	NNP
A67375	406	2	.	.	.
A67375	407	1	III	iii	CD
A67375	407	2	.	.	.
A67375	408	1	ρσ	ρσ	NNP
A67375	408	2	.	.	.
A67375	409	1	IV	IV	NNP
A67375	409	2	.	.	.
A67375	410	1	ρσ	ρσ	NNP
A67375	410	2	.	.	.
A67375	411	1	V.	V.	NNP
A67375	411	2	ρσ	ρσ	NNP
A67375	411	3	.	.	.
A67375	412	1	0	0	NFP
A67375	412	2	.	.	.
A67375	413	1	0	0	NFP
A67375	413	2	.	.	.
A67375	414	1	0	0	NFP
A67375	414	2	.	.	.
A67375	415	1	0	0	NFP
A67375	415	2	.	.	.
A67375	416	1	0	0	NFP
A67375	416	2	.	.	.
A67375	417	1	0.041	0.041	CD
A67375	417	2	0.083	0.083	CD
A67375	417	3	0.124	0.124	CD
A67375	417	4	0.165	0.165	CD
A67375	417	5	0.207	0.207	CD
A67375	417	6	0.108	0.108	CD
A67375	417	7	0.217	0.217	CD
A67375	417	8	0.325	0.325	CD
A67375	417	9	0.433	0.433	CD
A67375	417	10	0.541	0.541	CD
A67375	417	11	0.182	0.182	CD
A67375	417	12	0.363	0.363	CD
A67375	417	13	0.545	0.545	CD
A67375	417	14	0.726	0.726	CD
A67375	417	15	0.908	0.908	CD
A67375	417	16	0.25	0.25	CD
A67375	417	17	0.5	0.5	CD
A67375	417	18	0.75	0.75	CD
A67375	417	19	1	1	CD
A67375	417	20	.	.	.
A67375	418	1	1.25	1.25	CD
A67375	418	2	0.303	0.303	CD
A67375	418	3	0.605	0.605	CD
A67375	418	4	0.908	0.908	CD
A67375	418	5	1.210	1.210	CD
A67375	418	6	1.513	1.513	CD
A67375	418	7	0.325	0.325	CD
A67375	418	8	0.650	0.650	CD
A67375	418	9	0.974	0.974	CD
A67375	418	10	1.299	1.299	CD
A67375	418	11	1.624	1.624	CD
A67375	418	12	0.289	0.289	CD
A67375	418	13	0.579	0.579	CD
A67375	418	14	0.868	0.868	CD
A67375	418	15	1.157	1.157	CD
A67375	418	16	1.447	1.447	CD
A67375	418	17	0	0	CD
A67375	418	18	.	.	.
A67375	419	1	0	0	NFP
A67375	419	2	.	.	.
A67375	420	1	0	0	NFP
A67375	420	2	.	.	.
A67375	421	1	0	0	NFP
A67375	421	2	.	.	.
A67375	422	1	0	0	NFP
A67375	422	2	.	.	.
A67375	423	1	Or	or	CC
A67375	423	2	(	(	-LRB-
A67375	423	3	for	for	IN
A67375	423	4	a	a	DT
A67375	423	5	more	more	RBR
A67375	423	6	accurate	accurate	JJ
A67375	423	7	describing	describe	VBG
A67375	423	8	the	the	DT
A67375	423	9	Curve	curve	NN
A67375	423	10	)	)	-RRB-
A67375	423	11	dividing	divide	VBG
A67375	423	12	the	the	DT
A67375	423	13	Semi	Semi	NNP
A67375	423	14	-	-	HYPH
A67375	423	15	axe	axe	NN
A67375	423	16	into	into	IN
A67375	423	17	16	16	CD
A67375	423	18	parts	part	NNS
A67375	423	19	(	(	-LRB-
A67375	423	20	and	and	CC
A67375	423	21	the	the	DT
A67375	423	22	whole	whole	JJ
A67375	423	23	Axe	Axe	NNP
A67375	423	24	into	into	IN
A67375	423	25	32	32	CD
A67375	423	26	)	)	-RRB-
A67375	423	27	,	,	,
A67375	423	28	the	the	DT
A67375	423	29	Ordinates	Ordinates	NNPS
A67375	423	30	will	will	MD
A67375	423	31	be	be	VB
A67375	423	32	these	these	DT
A67375	423	33	:	:	:
A67375	423	34	I.	i.	NN
A67375	423	35	ρσ	ρσ	NN
A67375	423	36	.	.	.
A67375	424	1	II	ii	CD
A67375	424	2	.	.	.
A67375	425	1	ρσ	ρσ	NNP
A67375	425	2	.	.	.
A67375	426	1	III	iii	CD
A67375	426	2	.	.	.
A67375	427	1	ρσ	ρσ	NNP
A67375	427	2	.	.	.
A67375	428	1	IV	IV	NNP
A67375	428	2	.	.	.
A67375	429	1	ρσ	ρσ	NNP
A67375	429	2	.	.	.
A67375	430	1	V.	V.	NNP
A67375	430	2	ρσ	ρσ	NNP
A67375	430	3	.	.	.
A67375	431	1	0	0	NFP
A67375	431	2	.	.	.
A67375	432	1	0	0	NFP
A67375	432	2	.	.	.
A67375	433	1	0	0	NFP
A67375	433	2	.	.	.
A67375	434	1	0	0	NFP
A67375	434	2	.	.	.
A67375	435	1	0	0	NFP
A67375	435	2	.	.	.
A67375	436	1	0.0054	0.0054	CD
A67375	436	2	0.0109	0.0109	CD
A67375	436	3	0.0163	0.0163	CD
A67375	436	4	0.0218	0.0218	CD
A67375	436	5	0.0272	0.0272	CD
A67375	436	6	0.0151	0.0151	CD
A67375	436	7	0.0303	0.0303	CD
A67375	436	8	0.0454	0.0454	CD
A67375	436	9	0.0605	0.0605	CD
A67375	436	10	0.0756	0.0756	CD
A67375	436	11	0.0273	0.0273	CD
A67375	436	12	0.0547	0.0547	CD
A67375	436	13	0.0820	0.0820	CD
A67375	436	14	0.1093	0.1093	CD
A67375	436	15	0.1366	0.1366	CD
A67375	436	16	0.0414	0.0414	CD
A67375	436	17	0.0827	0.0827	CD
A67375	436	18	0.1241	0.1241	CD
A67375	436	19	0.1654	0.1654	CD
A67375	436	20	0.2068	0.2068	CD
A67375	436	21	0.0566	0.0566	CD
A67375	436	22	0.1132	0.1132	CD
A67375	436	23	0.1698	0.1698	CD
A67375	436	24	0.2264	0.2264	CD
A67375	436	25	0.2830	0.2830	CD
A67375	436	26	0.0732	0.0732	CD
A67375	436	27	0.1463	0.1463	CD
A67375	436	28	0.2195	0.2195	CD
A67375	436	29	0.2927	0.2927	CD
A67375	436	30	0.3658	0.3658	CD
A67375	436	31	0.0904	0.0904	CD
A67375	436	32	0.1809	0.1809	CD
A67375	436	33	0.2713	0.2713	CD
A67375	436	34	0.3617	0.3617	CD
A67375	436	35	0.4521	0.4521	CD
A67375	436	36	0.1083	0.1083	CD
A67375	436	37	0.2165	0.2165	CD
A67375	436	38	0.3248	0.3248	CD
A67375	436	39	0.4330	0.4330	CD
A67375	436	40	0.5413	0.5413	CD
A67375	436	41	0.1265	0.1265	CD
A67375	436	42	0.2529	0.2529	CD
A67375	436	43	0.3794	0.3794	CD
A67375	436	44	0.5058	0.5058	CD
A67375	436	45	0.6323	0.6323	CD
A67375	436	46	0.1448	0.1448	CD
A67375	436	47	0.2897	0.2897	CD
A67375	436	48	0.4345	0.4345	CD
A67375	436	49	0.5794	0.5794	CD
A67375	436	50	0.7242	0.7242	CD
A67375	436	51	0.1633	0.1633	CD
A67375	436	52	0.3265	0.3265	CD
A67375	436	53	0.4898	0.4898	CD
A67375	436	54	0.6531	0.6531	CD
A67375	436	55	0.8163	0.8163	CD
A67375	436	56	0.1815	0.1815	CD
A67375	436	57	0.3631	0.3631	CD
A67375	436	58	0.5446	0.5446	CD
A67375	436	59	0.7262	0.7262	CD
A67375	436	60	0.9077	0.9077	CD
A67375	436	61	0.1995	0.1995	CD
A67375	436	62	0.3990	0.3990	CD
A67375	436	63	0.5986	0.5986	CD
A67375	436	64	0.7981	0.7981	CD
A67375	436	65	0.9976	0.9976	CD
A67375	436	66	0.2170	0.2170	CD
A67375	436	67	0.4341	0.4341	CD
A67375	436	68	0.6511	0.6511	CD
A67375	436	69	0.8681	0.8681	CD
A67375	436	70	1.0852	1.0852	CD
A67375	436	71	0.2339	0.2339	CD
A67375	436	72	0.4678	0.4678	CD
A67375	436	73	0.7018	0.7018	CD
A67375	436	74	0.9357	0.9357	CD
A67375	436	75	1.1696	1.1696	CD
A67375	436	76	0.25	0.25	CD
A67375	436	77	0.5	0.5	CD
A67375	436	78	0.75	0.75	CD
A67375	436	79	1	1	CD
A67375	436	80	.	.	.
A67375	437	1	1.25	1.25	CD
A67375	437	2	0.2651	0.2651	CD
A67375	437	3	0.5302	0.5302	CD
A67375	437	4	0.7953	0.7953	CD
A67375	437	5	1.0604	1.0604	CD
A67375	437	6	1.3255	1.3255	CD
A67375	437	7	0.2790	0.2790	CD
A67375	437	8	0.5581	0.5581	CD
A67375	437	9	0.8371	0.8371	CD
A67375	437	10	1.1162	1.1162	CD
A67375	437	11	1.3952	1.3952	CD
A67375	437	12	0.2916	0.2916	CD
A67375	437	13	0.5832	0.5832	CD
A67375	437	14	0.8748	0.8748	CD
A67375	437	15	1.1664	1.1664	CD
A67375	437	16	1.4581	1.4581	CD
A67375	437	17	0.3026	0.3026	CD
A67375	437	18	0.6052	0.6052	CD
A67375	437	19	0.9077	0.9077	CD
A67375	437	20	1.2103	1.2103	CD
A67375	437	21	1.5129	1.5129	CD
A67375	437	22	0.3117	0.3117	CD
A67375	437	23	0.6234	0.6234	CD
A67375	437	24	0.9351	0.9351	CD
A67375	437	25	1.2468	1.2468	CD
A67375	437	26	1.5585	1.5585	CD
A67375	437	27	0.3187	0.3187	CD
A67375	437	28	0.6373	0.6373	CD
A67375	437	29	0.9560	0.9560	CD
A67375	437	30	1.2747	1.2747	CD
A67375	437	31	1.5933	1.5933	CD
A67375	437	32	0	0	CD
A67375	437	33	.	.	.
A67375	438	1	323	323	LS
A67375	438	2	●	●	CD
A67375	438	3	0.6463	0.6463	CD
A67375	438	4	0.9695	0.9695	CD
A67375	438	5	1.2926	1.2926	CD
A67375	438	6	1.6158	1.6158	CD
A67375	438	7	0.3248	0.3248	CD
A67375	438	8	0.6495	0.6495	CD
A67375	438	9	0.9743	0.9743	CD
A67375	438	10	1.2990	1.2990	CD
A67375	438	11	1.6238	1.6238	CD
A67375	438	12	0.3230	0.3230	CD
A67375	438	13	0.6459	0.6459	CD
A67375	438	14	0.9689	0.9689	CD
A67375	438	15	1.2919	1.2919	CD
A67375	438	16	1.6148	1.6148	CD
A67375	438	17	0.3171	0.3171	CD
A67375	438	18	0.6343	0.6343	CD
A67375	438	19	0.9514	0.9514	CD
A67375	438	20	1.2686	1.2686	CD
A67375	438	21	1.5857	1.5857	CD
A67375	438	22	0.3065	0.3065	CD
A67375	438	23	0.6130	0.6130	CD
A67375	438	24	0.9195	0.9195	CD
A67375	438	25	1.2260	1.2260	CD
A67375	438	26	1.5325	1.5325	CD
A67375	438	27	0.2894	0.2894	CD
A67375	438	28	0.5787	0.5787	CD
A67375	438	29	0.8681	0.8681	CD
A67375	438	30	1.1575	1.1575	CD
A67375	438	31	1.4468	1.4468	CD
A67375	438	32	0.2641	0.2641	CD
A67375	438	33	0.5283	0.5283	CD
A67375	438	34	0.7925	0.7925	CD
A67375	438	35	1.0566	1.0566	CD
A67375	438	36	1.3208	1.3208	CD
A67375	438	37	0.2269	0.2269	CD
A67375	438	38	0.4539	0.4539	CD
A67375	438	39	0.6808	0.6808	CD
A67375	438	40	0.9077	0.9077	CD
A67375	438	41	1.1347	1.1347	CD
A67375	438	42	0.1686	0.1686	CD
A67375	438	43	0.3372	0.3372	CD
A67375	438	44	0.5058	0.5058	CD
A67375	438	45	0.6744	0.6744	CD
A67375	438	46	0.8430	0.8430	CD
A67375	438	47	0	0	CD
A67375	438	48	.	.	.
A67375	439	1	0	0	NFP
A67375	439	2	.	.	.
A67375	440	1	0	0	NFP
A67375	440	2	.	.	.
A67375	441	1	0	0	NFP
A67375	441	2	.	.	.
A67375	442	1	0	0	NFP
A67375	442	2	.	.	.
A67375	443	1	55	55	CD
A67375	443	2	.	.	.
A67375	444	1	Seventhly	seventhly	RB
A67375	444	2	;	;	:
A67375	444	3	If	if	IN
A67375	444	4	it	-PRON-	PRP
A67375	444	5	be	be	VB
A67375	444	6	cut	cut	VBN
A67375	444	7	by	by	IN
A67375	444	8	a	a	DT
A67375	444	9	Plain	Plain	NNP
A67375	444	10	A	a	NN
A67375	444	11	σ	σ	NN
A67375	444	12	d	d	NN
A67375	444	13	,	,	,
A67375	444	14	passing	pass	VBG
A67375	444	15	through	through	IN
A67375	444	16	A	a	NN
A67375	444	17	(	(	-LRB-
A67375	444	18	Fig	fig	NN
A67375	444	19	.	.	.
A67375	445	1	8	8	LS
A67375	445	2	.	.	.
A67375	445	3	)	)	-RRB-
A67375	446	1	perpendicular	perpendicular	JJ
A67375	446	2	to	to	IN
A67375	446	3	the	the	DT
A67375	446	4	Rectangle	Rectangle	NNP
A67375	446	5	ABDC	ABDC	NNP
A67375	446	6	,	,	,
A67375	446	7	and	and	CC
A67375	446	8	cutting	cut	VBG
A67375	446	9	the	the	DT
A67375	446	10	Side	side	JJ
A67375	446	11	BD	BD	NNP
A67375	446	12	in	in	IN
A67375	446	13	d	d	NN
A67375	446	14	,	,	,
A67375	446	15	(	(	-LRB-
A67375	446	16	and	and	CC
A67375	446	17	any	any	DT
A67375	446	18	of	of	IN
A67375	446	19	the	the	DT
A67375	446	20	Triangles	Triangles	NNP
A67375	446	21	RSa	RSa	NNS
A67375	446	22	in	in	IN
A67375	446	23	ρσ	ρσ	NN
A67375	446	24	)	)	-RRB-
A67375	446	25	the	the	DT
A67375	446	26	Curve	Curve	NNP
A67375	446	27	Line	Line	NNP
A67375	446	28	d	d	NNP
A67375	446	29	σ	σ	NN
A67375	446	30	A	a	NN
A67375	446	31	will	will	MD
A67375	446	32	have	have	VB
A67375	446	33	this	this	DT
A67375	446	34	property	property	NN
A67375	446	35	:	:	:
A67375	446	36	As	as	IN
A67375	446	37	AC	AC	NNP
A67375	446	38	,	,	,
A67375	446	39	or	or	CC
A67375	446	40	aR	aR	NNP
A67375	446	41	,	,	,
A67375	446	42	to	to	IN
A67375	446	43	a	a	DT
A67375	446	44	ρ	ρ	NN
A67375	446	45	;	;	:
A67375	446	46	So	so	RB
A67375	446	47	is	be	VBZ
A67375	446	48	RS	RS	NNP
A67375	446	49	,	,	,
A67375	446	50	to	to	IN
A67375	446	51	ρσ	ρσ	NNP
A67375	446	52	.	.	.
A67375	447	1	And	and	CC
A67375	447	2	a	a	DT
A67375	447	3	ρ	ρ	NN
A67375	447	4	is	be	VBZ
A67375	447	5	thus	thus	RB
A67375	447	6	found	find	VBN
A67375	447	7	:	:	:
A67375	447	8	As	as	IN
A67375	447	9	AB	AB	NNP
A67375	447	10	to	to	IN
A67375	447	11	Aa	Aa	NNP
A67375	447	12	,	,	,
A67375	447	13	or	or	CC
A67375	447	14	AD	ad	NN
A67375	447	15	to	to	IN
A67375	447	16	A	a	NN
A67375	447	17	ρ	ρ	NN
A67375	447	18	;	;	:
A67375	447	19	So	so	RB
A67375	447	20	is	be	VBZ
A67375	447	21	Bd	Bd	NNP
A67375	447	22	to	to	IN
A67375	447	23	a	a	DT
A67375	447	24	ρ	ρ	NN
A67375	447	25	.	.	.
A67375	448	1	56	56	CD
A67375	448	2	.	.	.
A67375	449	1	In	in	IN
A67375	449	2	Species	Species	NNP
A67375	449	3	,	,	,
A67375	449	4	thus	thus	RB
A67375	449	5	:	:	:
A67375	449	6	57	57	CD
A67375	449	7	.	.	.
A67375	450	1	But	but	CC
A67375	450	2	if	if	IN
A67375	450	3	this	this	DT
A67375	450	4	Plain	Plain	NNP
A67375	450	5	(	(	-LRB-
A67375	450	6	passing	pass	VBG
A67375	450	7	by	by	IN
A67375	450	8	A	a	DT
A67375	450	9	)	)	-RRB-
A67375	450	10	cut	cut	VBD
A67375	450	11	the	the	DT
A67375	450	12	Line	Line	NNP
A67375	450	13	CD	cd	NN
A67375	450	14	in	in	IN
A67375	450	15	any	any	DT
A67375	450	16	Point	Point	NNP
A67375	450	17	P	p	NN
A67375	450	18	before	before	IN
A67375	450	19	it	-PRON-	PRP
A67375	450	20	come	come	VBP
A67375	450	21	at	at	IN
A67375	450	22	d	d	NN
A67375	450	23	in	in	IN
A67375	450	24	the	the	DT
A67375	450	25	continuation	continuation	NN
A67375	450	26	of	of	IN
A67375	450	27	BD	BD	NNP
A67375	450	28	,	,	,
A67375	450	29	(	(	-LRB-
A67375	450	30	Fig	fig	NN
A67375	450	31	.	.	.
A67375	451	1	9	9	CD
A67375	451	2	.	.	.
A67375	451	3	)	)	-RRB-
A67375	452	1	the	the	DT
A67375	452	2	Curve	Curve	NNP
A67375	452	3	Line	Line	NNP
A67375	452	4	will	will	MD
A67375	452	5	have	have	VB
A67375	452	6	this	this	DT
A67375	452	7	property	property	NN
A67375	452	8	:	:	:
A67375	452	9	Cutting	cut	VBG
A67375	452	10	the	the	DT
A67375	452	11	same	same	JJ
A67375	452	12	Plain	Plain	NNP
A67375	452	13	(	(	-LRB-
A67375	452	14	as	as	IN
A67375	452	15	before	before	RB
A67375	452	16	)	)	-RRB-
A67375	452	17	by	by	IN
A67375	452	18	any	any	DT
A67375	452	19	of	of	IN
A67375	452	20	the	the	DT
A67375	452	21	Triangles	Triangles	NNP
A67375	452	22	RSa	RSa	NNS
A67375	452	23	parallel	parallel	JJ
A67375	452	24	to	to	IN
A67375	452	25	CQA	CQA	NNP
A67375	452	26	,	,	,
A67375	452	27	it	-PRON-	PRP
A67375	452	28	will	will	MD
A67375	452	29	be	be	VB
A67375	452	30	,	,	,
A67375	452	31	As	as	IN
A67375	452	32	CP	CP	NNP
A67375	452	33	to	to	IN
A67375	452	34	CR	CR	NNP
A67375	452	35	;	;	:
A67375	452	36	or	or	CC
A67375	452	37	,	,	,
A67375	452	38	As	as	IN
A67375	452	39	AP	AP	NNP
A67375	452	40	to	to	IN
A67375	452	41	A	A	NNP
A67375	452	42	ρ	ρ	NN
A67375	452	43	;	;	:
A67375	452	44	or	or	CC
A67375	452	45	,	,	,
A67375	452	46	aR	aR	NNP
A67375	452	47	(	(	-LRB-
A67375	452	48	=	=	SYM
A67375	452	49	AC	AC	NNP
A67375	452	50	)	)	-RRB-
A67375	452	51	to	to	IN
A67375	452	52	a	a	DT
A67375	452	53	ρ	ρ	NN
A67375	452	54	;	;	:
A67375	452	55	So	so	RB
A67375	452	56	RS	RS	NNP
A67375	452	57	to	to	IN
A67375	452	58	ρσ	ρσ	NNP
A67375	452	59	.	.	.
A67375	453	1	58	58	CD
A67375	453	2	.	.	.
A67375	454	1	In	in	IN
A67375	454	2	Species	Species	NNP
A67375	454	3	,	,	,
A67375	454	4	thus	thus	RB
A67375	454	5	:	:	:
A67375	454	6	59	59	CD
A67375	454	7	.	.	.
A67375	455	1	Or	or	CC
A67375	455	2	else	else	RB
A67375	455	3	,	,	,
A67375	455	4	continuing	continue	VBG
A67375	455	5	AP	AP	NNP
A67375	455	6	till	till	IN
A67375	455	7	it	-PRON-	PRP
A67375	455	8	cut	cut	VBD
A67375	455	9	BD	BD	NNP
A67375	455	10	(	(	-LRB-
A67375	455	11	continued	continue	VBN
A67375	455	12	)	)	-RRB-
A67375	455	13	in	in	IN
A67375	455	14	d	d	NN
A67375	455	15	,	,	,
A67375	455	16	the	the	DT
A67375	455	17	Proportions	Proportions	NNPS
A67375	455	18	will	will	MD
A67375	455	19	be	be	VB
A67375	455	20	as	as	RB
A67375	455	21	before	before	RB
A67375	455	22	at	at	IN
A67375	455	23	§	§	CD
A67375	455	24	55	55	CD
A67375	455	25	,	,	,
A67375	455	26	56	56	CD
A67375	455	27	.	.	.
A67375	456	1	60	60	CD
A67375	456	2	.	.	.
A67375	457	1	In	in	IN
A67375	457	2	this	this	DT
A67375	457	3	Section	Section	NNP
A67375	457	4	,	,	,
A67375	457	5	the	the	DT
A67375	457	6	Curve	Curve	NNP
A67375	457	7	Line	Line	NNP
A67375	457	8	d	d	NN
A67375	457	9	σ	σ	NN
A67375	457	10	A	a	DT
A67375	457	11	cuts	cut	NNS
A67375	457	12	not	not	RB
A67375	457	13	its	-PRON-	PRP$
A67375	457	14	Axis	Axis	NNP
A67375	457	15	at	at	IN
A67375	457	16	P	p	NN
A67375	457	17	(	(	-LRB-
A67375	457	18	as	as	IN
A67375	457	19	in	in	IN
A67375	457	20	the	the	DT
A67375	457	21	fourth	fourth	JJ
A67375	457	22	and	and	CC
A67375	457	23	fifth	fifth	JJ
A67375	457	24	Section	Section	NNP
A67375	457	25	at	at	IN
A67375	457	26	b	b	NN
A67375	457	27	)	)	-RRB-
A67375	457	28	,	,	,
A67375	457	29	but	but	CC
A67375	457	30	continues	continue	VBZ
A67375	457	31	on	on	IN
A67375	457	32	the	the	DT
A67375	457	33	same	same	JJ
A67375	457	34	side	side	NN
A67375	457	35	of	of	IN
A67375	457	36	it	-PRON-	PRP
A67375	457	37	(	(	-LRB-
A67375	457	38	above	above	IN
A67375	457	39	the	the	DT
A67375	457	40	Plain	Plain	NNP
A67375	457	41	ABDC	abdc	NN
A67375	457	42	)	)	-RRB-
A67375	457	43	till	till	IN
A67375	457	44	it	-PRON-	PRP
A67375	457	45	meet	meet	VB
A67375	457	46	with	with	IN
A67375	457	47	it	-PRON-	PRP
A67375	457	48	at	at	IN
A67375	457	49	A	a	NN
A67375	457	50	;	;	:
A67375	457	51	but	but	CC
A67375	457	52	(	(	-LRB-
A67375	457	53	supposing	suppose	VBG
A67375	457	54	the	the	DT
A67375	457	55	Solid	Solid	NNPS
A67375	457	56	to	to	TO
A67375	457	57	be	be	VB
A67375	457	58	farther	far	RBR
A67375	457	59	continued	continue	VBN
A67375	457	60	in	in	IN
A67375	457	61	the	the	DT
A67375	457	62	opposite	opposite	JJ
A67375	457	63	Position	Position	NNP
A67375	457	64	)	)	-RRB-
A67375	457	65	cuts	cut	VBZ
A67375	457	66	it	-PRON-	PRP
A67375	457	67	at	at	IN
A67375	457	68	A	a	NN
A67375	457	69	,	,	,
A67375	457	70	and	and	CC
A67375	457	71	thenceforth	thenceforth	NN
A67375	457	72	continues	continue	VBZ
A67375	457	73	on	on	IN
A67375	457	74	the	the	DT
A67375	457	75	other	other	JJ
A67375	457	76	side	side	NN
A67375	457	77	of	of	IN
A67375	457	78	it	-PRON-	PRP
A67375	457	79	(	(	-LRB-
A67375	457	80	below	below	IN
A67375	457	81	the	the	DT
A67375	457	82	Plain	Plain	NNP
A67375	457	83	ABDC	ABDC	NNP
A67375	457	84	continued	continue	VBD
A67375	457	85	)	)	-RRB-
A67375	457	86	till	till	IN
A67375	457	87	it	-PRON-	PRP
A67375	457	88	meet	meet	VB
A67375	457	89	again	again	RB
A67375	457	90	at	at	IN
A67375	457	91	δ	δ	NN
A67375	457	92	.	.	.
A67375	458	1	And	and	CC
A67375	458	2	(	(	-LRB-
A67375	458	3	in	in	IN
A67375	458	4	case	case	NN
A67375	458	5	of	of	IN
A67375	458	6	such	such	JJ
A67375	458	7	continuation	continuation	NN
A67375	458	8	)	)	-RRB-
A67375	458	9	instead	instead	RB
A67375	458	10	of	of	IN
A67375	458	11	CR	CR	NNP
A67375	458	12	=	=	SYM
A67375	458	13	+	+	SYM
A67375	458	14	c	c	NN
A67375	458	15	,	,	,
A67375	458	16	we	-PRON-	PRP
A67375	458	17	shall	shall	MD
A67375	458	18	have	have	VB
A67375	458	19	CR	CR	NNP
A67375	458	20	=	=	SYM
A67375	458	21	−	−	NNP
A67375	458	22	c	c	NN
A67375	458	23	;	;	:
A67375	458	24	(	(	-LRB-
A67375	458	25	because	because	IN
A67375	458	26	now	now	RB
A67375	458	27	R	r	NN
A67375	458	28	falls	fall	VBZ
A67375	458	29	on	on	IN
A67375	458	30	the	the	DT
A67375	458	31	contrary	contrary	JJ
A67375	458	32	side	side	NN
A67375	458	33	of	of	IN
A67375	458	34	C	C	NNP
A67375	458	35	,	,	,
A67375	458	36	in	in	IN
A67375	458	37	the	the	DT
A67375	458	38	continuation	continuation	NN
A67375	458	39	of	of	IN
A67375	458	40	DC	DC	NNP
A67375	458	41	:	:	:
A67375	458	42	)	)	-RRB-
A67375	458	43	And	and	CC
A67375	458	44	consequently	consequently	RB
A67375	458	45	the	the	DT
A67375	458	46	Ordinates	Ordinates	NNPS
A67375	458	47	beyond	beyond	IN
A67375	458	48	A	a	NN
A67375	458	49	(	(	-LRB-
A67375	458	50	being	be	VBG
A67375	458	51	on	on	IN
A67375	458	52	the	the	DT
A67375	458	53	contrary	contrary	JJ
A67375	458	54	side	side	NN
A67375	458	55	)	)	-RRB-
A67375	458	56	to	to	TO
A67375	458	57	be	be	VB
A67375	458	58	interpreted	interpret	VBN
A67375	458	59	Negatively	negatively	RB
A67375	458	60	(	(	-LRB-
A67375	458	61	with	with	IN
A67375	458	62	the	the	DT
A67375	458	63	sign	sign	NN
A67375	458	64	—	—	:
A67375	458	65	)	)	-RRB-
A67375	458	66	as	as	IN
A67375	458	67	those	those	DT
A67375	458	68	on	on	IN
A67375	458	69	this	this	DT
A67375	458	70	side	side	NN
A67375	458	71	,	,	,
A67375	458	72	Affirmatively	affirmatively	RB
A67375	458	73	,	,	,
A67375	458	74	with	with	IN
A67375	458	75	the	the	DT
A67375	458	76	sign	sign	NN
A67375	458	77	+	+	SYM
A67375	458	78	.	.	.
A67375	459	1	61	61	CD
A67375	459	2	.	.	.
A67375	460	1	In	in	IN
A67375	460	2	both	both	DT
A67375	460	3	cases	case	NNS
A67375	460	4	(	(	-LRB-
A67375	460	5	whether	whether	IN
A67375	460	6	Ad	ad	NN
A67375	460	7	cut	cut	VBD
A67375	460	8	or	or	CC
A67375	460	9	cut	cut	VBD
A67375	460	10	not	not	RB
A67375	460	11	the	the	DT
A67375	460	12	Line	Line	NNP
A67375	460	13	CD	CD	NNP
A67375	460	14	as	as	IN
A67375	460	15	at	at	IN
A67375	460	16	P	p	NN
A67375	460	17	;	;	:
A67375	460	18	that	that	RB
A67375	460	19	is	is	RB
A67375	460	20	,	,	,
A67375	460	21	whether	whether	IN
A67375	460	22	the	the	DT
A67375	460	23	Point	Point	NNP
A67375	460	24	d	d	NN
A67375	460	25	fall	fall	VBP
A67375	460	26	above	above	IN
A67375	460	27	or	or	CC
A67375	460	28	below	below	IN
A67375	460	29	D	d	NN
A67375	460	30	;	;	:
A67375	460	31	)	)	-RRB-
A67375	460	32	the	the	DT
A67375	460	33	Curve	Curve	NNP
A67375	460	34	Lines	Lines	NNPS
A67375	460	35	dσA	dσA	NNP
A67375	460	36	continued	continue	VBD
A67375	460	37	(	(	-LRB-
A67375	460	38	answering	answer	VBG
A67375	460	39	to	to	IN
A67375	460	40	a	a	DT
A67375	460	41	sutable	sutable	JJ
A67375	460	42	continuation	continuation	NN
A67375	460	43	of	of	IN
A67375	460	44	the	the	DT
A67375	460	45	Solid	Solid	NNP
A67375	460	46	)	)	-RRB-
A67375	460	47	cutting	cut	VBG
A67375	460	48	their	-PRON-	PRP$
A67375	460	49	Axis	Axis	NNP
A67375	460	50	at	at	IN
A67375	460	51	A	a	NN
A67375	460	52	,	,	,
A67375	460	53	will	will	MD
A67375	460	54	again	again	RB
A67375	460	55	meet	meet	VB
A67375	460	56	with	with	IN
A67375	460	57	it	-PRON-	PRP
A67375	460	58	(	(	-LRB-
A67375	460	59	continued	continue	VBN
A67375	460	60	)	)	-RRB-
A67375	460	61	at	at	IN
A67375	460	62	δ	δ	NN
A67375	460	63	,	,	,
A67375	460	64	as	as	RB
A67375	460	65	far	far	RB
A67375	460	66	beyond	beyond	IN
A67375	460	67	A	a	NN
A67375	460	68	as	as	IN
A67375	460	69	d	d	NN
A67375	460	70	is	be	VBZ
A67375	460	71	on	on	IN
A67375	460	72	this	this	DT
A67375	460	73	side	side	NN
A67375	460	74	of	of	IN
A67375	460	75	it	-PRON-	PRP
A67375	460	76	:	:	:
A67375	460	77	And	and	CC
A67375	460	78	the	the	DT
A67375	460	79	Ordinates	Ordinates	NNPS
A67375	460	80	beyond	beyond	IN
A67375	460	81	A	a	DT
A67375	460	82	will	will	MD
A67375	460	83	be	be	VB
A67375	460	84	just	just	RB
A67375	460	85	the	the	DT
A67375	460	86	same	same	JJ
A67375	460	87	as	as	IN
A67375	460	88	on	on	IN
A67375	460	89	this	this	DT
A67375	460	90	side	side	NN
A67375	460	91	,	,	,
A67375	460	92	but	but	CC
A67375	460	93	with	with	IN
A67375	460	94	contrary	contrary	JJ
A67375	460	95	signs	sign	NNS
A67375	460	96	+	+	SYM
A67375	460	97	−	−	NNP
A67375	460	98	.	.	.
A67375	461	1	62	62	CD
A67375	461	2	.	.	.
A67375	462	1	And	and	CC
A67375	462	2	the	the	DT
A67375	462	3	Curve	Curve	NNP
A67375	462	4	Lines	Lines	NNPS
A67375	462	5	dσAδ	dσAδ	NNP
A67375	462	6	transferred	transfer	VBN
A67375	462	7	to	to	IN
A67375	462	8	one	one	CD
A67375	462	9	and	and	CC
A67375	462	10	the	the	DT
A67375	462	11	same	same	JJ
A67375	462	12	Plain	Plain	NNP
A67375	462	13	,	,	,
A67375	462	14	(	(	-LRB-
A67375	462	15	supposing	suppose	VBG
A67375	462	16	the	the	DT
A67375	462	17	Line	Line	NNP
A67375	462	18	BD	BD	NNP
A67375	462	19	divided	divide	VBN
A67375	462	20	into	into	IN
A67375	462	21	equal	equal	JJ
A67375	462	22	parts	part	NNS
A67375	462	23	at	at	IN
A67375	462	24	the	the	DT
A67375	462	25	Points	Points	NNPS
A67375	462	26	d	d	NNP
A67375	462	27	)	)	-RRB-
A67375	462	28	will	will	MD
A67375	462	29	appear	appear	VB
A67375	462	30	as	as	IN
A67375	462	31	in	in	IN
A67375	462	32	the	the	DT
A67375	462	33	seventh	seventh	JJ
A67375	462	34	Projection	Projection	NNP
A67375	462	35	,	,	,
A67375	462	36	Fig	Fig	NNP
A67375	462	37	.	.	.
A67375	463	1	22	22	CD
A67375	463	2	.	.	.
A67375	464	1	Where	where	WRB
A67375	464	2	the	the	DT
A67375	464	3	Lines	Lines	NNPS
A67375	464	4	dA	dA	NNP
A67375	464	5	are	be	VBP
A67375	464	6	continued	continue	VBN
A67375	464	7	to	to	IN
A67375	464	8	δ	δ	NN
A67375	464	9	,	,	,
A67375	464	10	and	and	CC
A67375	464	11	then	then	RB
A67375	464	12	(	(	-LRB-
A67375	464	13	to	to	TO
A67375	464	14	avoid	avoid	VB
A67375	464	15	confusion	confusion	NN
A67375	464	16	in	in	IN
A67375	464	17	the	the	DT
A67375	464	18	Figure	Figure	NNP
A67375	464	19	)	)	-RRB-
A67375	464	20	removed	remove	VBD
A67375	464	21	from	from	IN
A67375	464	22	their	-PRON-	PRP$
A67375	464	23	proper	proper	JJ
A67375	464	24	place	place	NN
A67375	464	25	in	in	IN
A67375	464	26	the	the	DT
A67375	464	27	Plain	Plain	NNP
A67375	464	28	ABDC	ABDC	NNP
A67375	464	29	,	,	,
A67375	464	30	and	and	CC
A67375	464	31	all	all	DT
A67375	464	32	set	set	VBN
A67375	464	33	off	off	RP
A67375	464	34	in	in	IN
A67375	464	35	the	the	DT
A67375	464	36	streight	streight	JJ
A67375	464	37	Line	Line	NNP
A67375	464	38	AC	AC	NNP
A67375	464	39	(	(	-LRB-
A67375	464	40	continued	continued	JJ
A67375	464	41	)	)	-RRB-
A67375	464	42	,	,	,
A67375	464	43	and	and	CC
A67375	464	44	the	the	DT
A67375	464	45	Lines	line	NNS
A67375	464	46	δσ	δσ	NNP
A67375	464	47	applied	apply	VBD
A67375	464	48	to	to	IN
A67375	464	49	them	-PRON-	PRP
A67375	464	50	as	as	IN
A67375	464	51	Ordinates	Ordinates	NNP
A67375	464	52	(	(	-LRB-
A67375	464	53	in	in	IN
A67375	464	54	this	this	DT
A67375	464	55	Position	position	NN
A67375	464	56	)	)	-RRB-
A67375	464	57	in	in	IN
A67375	464	58	such	such	JJ
A67375	464	59	proportion	proportion	NN
A67375	464	60	to	to	IN
A67375	464	61	RS	RS	NNP
A67375	464	62	,	,	,
A67375	464	63	as	as	IN
A67375	464	64	a	a	DT
A67375	464	65	ρ	ρ	NN
A67375	464	66	is	be	VBZ
A67375	464	67	to	to	TO
A67375	464	68	aR	aR	NNP
A67375	464	69	.	.	.
A67375	465	1	63	63	CD
A67375	465	2	.	.	.
A67375	466	1	The	the	DT
A67375	466	2	Quantities	Quantities	NNPS
A67375	466	3	in	in	IN
A67375	466	4	this	this	DT
A67375	466	5	Projection	Projection	NNP
A67375	466	6	I	-PRON-	PRP
A67375	466	7	thus	thus	RB
A67375	466	8	design	design	VBP
A67375	466	9	in	in	IN
A67375	466	10	Species	Species	NNP
A67375	466	11	.	.	.
A67375	467	1	64	64	CD
A67375	467	2	.	.	.
A67375	468	1	In	in	IN
A67375	468	2	Numbers	number	NNS
A67375	468	3	(	(	-LRB-
A67375	468	4	putting	put	VBG
A67375	468	5	R	r	NN
A67375	468	6	=	=	SYM
A67375	468	7	1	1	CD
A67375	468	8	,	,	,
A67375	468	9	A	a	NN
A67375	468	10	=	=	SYM
A67375	468	11	2	2	CD
A67375	468	12	,	,	,
A67375	468	13	)	)	-RRB-
A67375	468	14	the	the	DT
A67375	468	15	Semi	Semi	NNP
A67375	468	16	-	-	NNS
A67375	468	17	axes	axis	NNS
A67375	468	18	of	of	IN
A67375	468	19	the	the	DT
A67375	468	20	five	five	CD
A67375	468	21	Curves	curve	NNS
A67375	468	22	described	describe	VBN
A67375	468	23	,	,	,
A67375	468	24	Ad	ad	NN
A67375	468	25	,	,	,
A67375	468	26	are	be	VBP
A67375	468	27	of	of	IN
A67375	468	28	the	the	DT
A67375	468	29	same	same	JJ
A67375	468	30	length	length	NN
A67375	468	31	with	with	IN
A67375	468	32	BC	BC	NNP
A67375	468	33	,	,	,
A67375	468	34	§	§	-LRB-
A67375	468	35	54	54	CD
A67375	468	36	.	.	.
A67375	469	1	I.	I.	NNP
A67375	470	1	Ad	ad	NN
A67375	470	2	.	.	.
A67375	471	1	II	ii	CD
A67375	471	2	.	.	.
A67375	472	1	Ad	ad	NN
A67375	472	2	.	.	.
A67375	473	1	III	iii	CD
A67375	473	2	.	.	.
A67375	474	1	Ad	ad	NN
A67375	474	2	.	.	.
A67375	475	1	IV	IV	NNP
A67375	475	2	.	.	.
A67375	476	1	Ad	ad	NN
A67375	476	2	.	.	.
A67375	477	1	V.	V.	NNP
A67375	477	2	Ad	Ad	NNP
A67375	477	3	.	.	.
A67375	478	1	1.11803	1.11803	CD
A67375	478	2	1.41421	1.41421	CD
A67375	478	3	1.80278	1.80278	CD
A67375	478	4	1.23607	1.23607	CD
A67375	478	5	2.69258	2.69258	CD
A67375	478	6	And	and	CC
A67375	478	7	the	the	DT
A67375	478	8	Ordinates	Ordinates	NNPS
A67375	478	9	,	,	,
A67375	478	10	supposing	suppose	VBG
A67375	478	11	the	the	DT
A67375	478	12	Semi	Semi	NNP
A67375	478	13	-	-	HYPH
A67375	478	14	axis	axis	NNP
A67375	478	15	divided	divide	VBD
A67375	478	16	into	into	IN
A67375	478	17	four	four	CD
A67375	478	18	equal	equal	JJ
A67375	478	19	parts	part	NNS
A67375	478	20	,	,	,
A67375	478	21	are	be	VBP
A67375	478	22	these	these	DT
A67375	478	23	:	:	:
A67375	478	24	I.	i.	NN
A67375	478	25	ρσ	ρσ	NN
A67375	478	26	.	.	.
A67375	479	1	II	ii	CD
A67375	479	2	.	.	.
A67375	480	1	ρσ	ρσ	NNP
A67375	480	2	.	.	.
A67375	481	1	III	iii	CD
A67375	481	2	.	.	.
A67375	482	1	ρσ	ρσ	NNP
A67375	482	2	.	.	.
A67375	483	1	IV	IV	NNP
A67375	483	2	.	.	.
A67375	484	1	ρσ	ρσ	NNP
A67375	484	2	.	.	.
A67375	485	1	V.	V.	NNP
A67375	485	2	ρσ	ρσ	NNP
A67375	485	3	.	.	.
A67375	486	1	0	0	NFP
A67375	486	2	.	.	.
A67375	487	1	0	0	NFP
A67375	487	2	.	.	.
A67375	488	1	0	0	NFP
A67375	488	2	.	.	.
A67375	489	1	0	0	NFP
A67375	489	2	.	.	.
A67375	490	1	0	0	NFP
A67375	490	2	.	.	.
A67375	491	1	0.124	0.124	CD
A67375	491	2	0.248	0.248	CD
A67375	491	3	0.372	0.372	CD
A67375	491	4	0.496	0.496	CD
A67375	491	5	0.620	0.620	CD
A67375	491	6	0.108	0.108	CD
A67375	491	7	0.217	0.217	CD
A67375	491	8	0.325	0.325	CD
A67375	491	9	0.433	0.433	CD
A67375	491	10	0.523	0.523	CD
A67375	491	11	0.061	0.061	CD
A67375	491	12	0.121	0.121	CD
A67375	491	13	0.182	0.182	CD
A67375	491	14	0.242	0.242	CD
A67375	491	15	0.303	0.303	CD
A67375	491	16	±0	±0	CD
A67375	491	17	.	.	.
A67375	492	1	±0	±0	ADD
A67375	492	2	.	.	.
A67375	493	1	±0	±0	ADD
A67375	493	2	.	.	.
A67375	494	1	±0	±0	ADD
A67375	494	2	.	.	.
A67375	495	1	±0	±0	ADD
A67375	495	2	.	.	.
A67375	496	1	303	303	CD
A67375	496	2	−	−	NNP
A67375	496	3	0.061	0.061	CD
A67375	496	4	−	−	NNP
A67375	496	5	0.121	0.121	CD
A67375	496	6	−	−	NNP
A67375	496	7	0.182	0.182	CD
A67375	496	8	−	−	NNP
A67375	496	9	0.242	0.242	CD
A67375	496	10	−	−	NNP
A67375	496	11	0.523	0.523	CD
A67375	496	12	−	−	NNP
A67375	496	13	0.108	0.108	CD
A67375	496	14	−	−	NNP
A67375	496	15	0.217	0.217	CD
A67375	496	16	−	−	NNP
A67375	496	17	0.325	0.325	CD
A67375	496	18	−	−	NNP
A67375	496	19	0.433	0.433	CD
A67375	496	20	−	−	NNP
A67375	496	21	0.620	0.620	CD
A67375	496	22	−	−	NNP
A67375	496	23	0.124	0.124	CD
A67375	496	24	−	−	NNP
A67375	496	25	0.248	0.248	CD
A67375	496	26	−	−	NNP
A67375	496	27	0.372	0.372	CD
A67375	496	28	−	−	NNP
A67375	496	29	0.496	0.496	CD
A67375	496	30	  	  	_SP
A67375	496	31	−	−	NNP
A67375	496	32	0	0	CD
A67375	496	33	.	.	.
A67375	497	1	−	−	NNP
A67375	497	2	0	0	CD
A67375	497	3	.	.	.
A67375	498	1	−	−	NNP
A67375	498	2	0	0	CD
A67375	498	3	.	.	.
A67375	499	1	−	−	NNP
A67375	499	2	0	0	CD
A67375	499	3	.	.	.
A67375	500	1	Or	or	CC
A67375	500	2	(	(	-LRB-
A67375	500	3	for	for	IN
A67375	500	4	a	a	DT
A67375	500	5	more	more	RBR
A67375	500	6	accurate	accurate	JJ
A67375	500	7	describing	describe	VBG
A67375	500	8	the	the	DT
A67375	500	9	Curve	curve	NN
A67375	500	10	)	)	-RRB-
A67375	500	11	dividing	divide	VBG
A67375	500	12	the	the	DT
A67375	500	13	Semi	Semi	NNP
A67375	500	14	-	-	NN
A67375	500	15	axis	axis	NN
A67375	500	16	into	into	IN
A67375	500	17	16	16	CD
A67375	500	18	parts	part	NNS
A67375	500	19	(	(	-LRB-
A67375	500	20	and	and	CC
A67375	500	21	the	the	DT
A67375	500	22	whole	whole	JJ
A67375	500	23	Axis	Axis	NNP
A67375	500	24	into	into	IN
A67375	500	25	32	32	CD
A67375	500	26	)	)	-RRB-
A67375	500	27	,	,	,
A67375	500	28	the	the	DT
A67375	500	29	Ordinates	Ordinates	NNPS
A67375	500	30	will	will	MD
A67375	500	31	be	be	VB
A67375	500	32	these	these	DT
A67375	500	33	:	:	:
A67375	500	34	I.	i.	NN
A67375	500	35	ρσ	ρσ	NN
A67375	500	36	.	.	.
A67375	501	1	II	ii	CD
A67375	501	2	.	.	.
A67375	502	1	ρσ	ρσ	NNP
A67375	502	2	.	.	.
A67375	503	1	III	iii	CD
A67375	503	2	.	.	.
A67375	504	1	ρσ	ρσ	NNP
A67375	504	2	.	.	.
A67375	505	1	IV	IV	NNP
A67375	505	2	.	.	.
A67375	506	1	ρσ	ρσ	NNP
A67375	506	2	.	.	.
A67375	507	1	V.	V.	NNP
A67375	507	2	ρσ	ρσ	NNP
A67375	507	3	.	.	.
A67375	508	1	0	0	NFP
A67375	508	2	.	.	.
A67375	509	1	0	0	NFP
A67375	509	2	.	.	.
A67375	510	1	0	0	NFP
A67375	510	2	.	.	.
A67375	511	1	0	0	NFP
A67375	511	2	.	.	.
A67375	512	1	0	0	NFP
A67375	512	2	.	.	.
A67375	513	1	0.0816	0.0816	CD
A67375	513	2	0.1632	0.1632	CD
A67375	513	3	0.2447	0.2447	CD
A67375	513	4	0.3263	0.3263	CD
A67375	513	5	0.4079	0.4079	CD
A67375	513	6	0.1059	0.1059	CD
A67375	513	7	0.2118	0.2118	CD
A67375	513	8	0.3177	0.3177	CD
A67375	513	9	0.4236	0.4236	CD
A67375	513	10	0.5295	0.5295	CD
A67375	513	11	0.1184	0.1184	CD
A67375	513	12	0.2368	0.2368	CD
A67375	513	13	0.3552	0.3552	CD
A67375	513	14	0.4737	0.4737	CD
A67375	513	15	0.5921	0.5921	CD
A67375	513	16	0.1240	0.1240	CD
A67375	513	17	0.2480	0.2480	CD
A67375	513	18	0.3720	0.3720	CD
A67375	513	19	0.4960	0.4960	CD
A67375	513	20	0.6200	0.6200	CD
A67375	513	21	0.1250	0.1250	CD
A67375	513	22	0.2499	0.2499	CD
A67375	513	23	0.3749	0.3749	CD
A67375	513	24	0.4998	0.4998	CD
A67375	513	25	0.6248	0.6248	CD
A67375	513	26	0.1220	0.1220	CD
A67375	513	27	0.2440	0.2440	CD
A67375	513	28	0.3660	0.3660	CD
A67375	513	29	0.4880	0.4880	CD
A67375	513	30	0.6099	0.6099	CD
A67375	513	31	0.1163	0.1163	CD
A67375	513	32	0.2325	0.2325	CD
A67375	513	33	0.3488	0.3488	CD
A67375	513	34	0.4651	0.4651	CD
A67375	513	35	0.5814	0.5814	CD
A67375	513	36	0.1083	0.1083	CD
A67375	513	37	0.2165	0.2165	CD
A67375	513	38	0.3248	0.3248	CD
A67375	513	39	0.4330	0.4330	CD
A67375	513	40	0.5413	0.5413	CD
A67375	513	41	0.0984	0.0984	CD
A67375	513	42	0.1967	0.1967	CD
A67375	513	43	0.2951	0.2951	CD
A67375	513	44	0.3934	0.3934	CD
A67375	513	45	0.4918	0.4918	CD
A67375	513	46	0.0869	0.0869	CD
A67375	513	47	0.1738	0.1738	CD
A67375	513	48	0.2607	0.2607	CD
A67375	513	49	0.3476	0.3476	CD
A67375	513	50	0.4345	0.4345	CD
A67375	513	51	0.0742	0.0742	CD
A67375	513	52	0.1484	0.1484	CD
A67375	513	53	0.2226	0.2226	CD
A67375	513	54	0.2969	0.2969	CD
A67375	513	55	0.3711	0.3711	CD
A67375	513	56	0.0605	0.0605	CD
A67375	513	57	0.1210	0.1210	CD
A67375	513	58	0.1815	0.1815	CD
A67375	513	59	0.2421	0.2421	CD
A67375	513	60	0.3026	0.3026	CD
A67375	513	61	0.0460	0.0460	CD
A67375	513	62	0.0921	0.0921	CD
A67375	513	63	0.1383	0.1383	CD
A67375	513	64	0.1842	0.1842	CD
A67375	513	65	0.2302	0.2302	CD
A67375	513	66	0.0310	0.0310	CD
A67375	513	67	0.0620	0.0620	CD
A67375	513	68	0.0930	0.0930	CD
A67375	513	69	0.1240	0.1240	CD
A67375	513	70	0.1550	0.1550	CD
A67375	513	71	0.0156	0.0156	CD
A67375	513	72	0.0312	0.0312	CD
A67375	513	73	0.0468	0.0468	CD
A67375	513	74	0.0624	0.0624	CD
A67375	513	75	0.0780	0.0780	CD
A67375	513	76	±0	±0	CD
A67375	513	77	.	.	.
A67375	514	1	±0	±0	ADD
A67375	514	2	.	.	.
A67375	515	1	±0	±0	ADD
A67375	515	2	.	.	.
A67375	516	1	±0	±0	ADD
A67375	516	2	.	.	.
A67375	517	1	±0	±0	ADD
A67375	517	2	.	.	.
A67375	518	1	−	−	NNP
A67375	518	2	0.0156	0.0156	SYM
A67375	518	3	−	−	NNP
A67375	518	4	0.0312	0.0312	CD
A67375	518	5	−	−	NNP
A67375	518	6	0.0468	0.0468	CD
A67375	518	7	−	−	NNP
A67375	518	8	0.0624	0.0624	CD
A67375	518	9	−	−	NNP
A67375	518	10	0.0780	0.0780	CD
A67375	518	11	−	−	NNP
A67375	518	12	0.0310	0.0310	SYM
A67375	518	13	−	−	NNP
A67375	518	14	0.0620	0.0620	CD
A67375	518	15	−	−	NNP
A67375	518	16	0.0930	0.0930	CD
A67375	518	17	−	−	NNP
A67375	518	18	0.1240	0.1240	CD
A67375	518	19	−	−	NNP
A67375	518	20	0.1550	0.1550	CD
A67375	518	21	−	−	NNP
A67375	518	22	0.0460	0.0460	CD
A67375	518	23	−	−	NNP
A67375	518	24	0.0921	0.0921	CD
A67375	518	25	−	−	NNP
A67375	518	26	0.1383	0.1383	CD
A67375	518	27	−	−	NNP
A67375	518	28	0.1842	0.1842	CD
A67375	518	29	−	−	NNP
A67375	518	30	0.2302	0.2302	CD
A67375	518	31	−	−	NNP
A67375	518	32	0.0605	0.0605	.
A67375	518	33	−	−	NNP
A67375	518	34	0.1210	0.1210	SYM
A67375	518	35	−	−	NNP
A67375	518	36	0.1815	0.1815	CD
A67375	518	37	−	−	NNP
A67375	518	38	0.2421	0.2421	CD
A67375	518	39	−	−	NNP
A67375	518	40	0.3026	0.3026	CD
A67375	518	41	−	−	NNP
A67375	518	42	0.0742	0.0742	CD
A67375	518	43	−	−	NNP
A67375	518	44	0.1484	0.1484	CD
A67375	518	45	−	−	NNP
A67375	518	46	0.2226	0.2226	CD
A67375	518	47	−	−	NNP
A67375	518	48	0.2969	0.2969	CD
A67375	518	49	−	−	NNP
A67375	518	50	0.3711	0.3711	CD
A67375	518	51	−	−	NNP
A67375	518	52	0.0869	0.0869	CD
A67375	518	53	−	−	NNP
A67375	518	54	0.1738	0.1738	CD
A67375	518	55	−	−	NNP
A67375	518	56	0.2607	0.2607	CD
A67375	518	57	−	−	NNP
A67375	518	58	0.3476	0.3476	CD
A67375	518	59	−	−	NNP
A67375	518	60	0.4345	0.4345	CD
A67375	518	61	−	−	NNP
A67375	518	62	0.0984	0.0984	CD
A67375	518	63	−	−	NNP
A67375	518	64	0.1967	0.1967	NFP
A67375	518	65	−	−	NNP
A67375	518	66	0.2951	0.2951	CD
A67375	518	67	−	−	NNP
A67375	518	68	0.3934	0.3934	SYM
A67375	518	69	−	−	NNP
A67375	518	70	0.4918	0.4918	CD
A67375	518	71	−	−	NNP
A67375	518	72	0.1083	0.1083	CD
A67375	518	73	−	−	NNP
A67375	518	74	0.2165	0.2165	CD
A67375	518	75	−	−	NNP
A67375	518	76	0.3248	0.3248	CD
A67375	518	77	−	−	NNP
A67375	518	78	0.4330	0.4330	CD
A67375	518	79	−	−	NNP
A67375	518	80	0.5413	0.5413	CD
A67375	518	81	−	−	NNP
A67375	518	82	0.1163	0.1163	CD
A67375	518	83	−	−	NNP
A67375	518	84	0.2325	0.2325	CD
A67375	518	85	−	−	NNP
A67375	518	86	0.3488	0.3488	CD
A67375	518	87	−	−	NNP
A67375	518	88	0.4651	0.4651	CD
A67375	518	89	−	−	NNP
A67375	518	90	0.5814	0.5814	CD
A67375	518	91	−	−	NNP
A67375	518	92	0.1220	0.1220	CD
A67375	518	93	−	−	NNP
A67375	518	94	0.2440	0.2440	CD
A67375	518	95	−	−	NNP
A67375	518	96	0.3660	0.3660	CD
A67375	518	97	−	−	NNP
A67375	518	98	0.4880	0.4880	CD
A67375	518	99	−	−	NNP
A67375	518	100	0.6099	0.6099	CD
A67375	518	101	−	−	NNP
A67375	518	102	0.1250	0.1250	CD
A67375	518	103	−	−	NNP
A67375	518	104	0.2499	0.2499	CD
A67375	518	105	−	−	NNP
A67375	518	106	0.3749	0.3749	CD
A67375	518	107	−	−	NNP
A67375	518	108	0.4998	0.4998	CD
A67375	518	109	−	−	NNP
A67375	518	110	0.6248	0.6248	CD
A67375	518	111	−	−	NNP
A67375	518	112	0.1240	0.1240	CD
A67375	518	113	−	−	NNP
A67375	518	114	0.2480	0.2480	CD
A67375	518	115	−	−	NNP
A67375	518	116	0.3720	0.3720	CD
A67375	518	117	−	−	NNP
A67375	518	118	0.4960	0.4960	CD
A67375	518	119	−	−	NNP
A67375	518	120	0.6200	0.6200	CD
A67375	518	121	−	−	NNP
A67375	518	122	0.1184	0.1184	CD
A67375	518	123	−	−	NNP
A67375	518	124	0.2368	0.2368	CD
A67375	518	125	−	−	NNP
A67375	518	126	0.3552	0.3552	CD
A67375	518	127	−	−	NNP
A67375	518	128	0.4737	0.4737	CD
A67375	518	129	−	−	NNP
A67375	518	130	0.5921	0.5921	CD
A67375	518	131	−	−	NNP
A67375	518	132	0.1059	0.1059	CD
A67375	518	133	−	−	NNP
A67375	518	134	0.2118	0.2118	CD
A67375	518	135	−	−	NNP
A67375	518	136	0.3177	0.3177	NFP
A67375	518	137	−	−	NNP
A67375	518	138	0.4236	0.4236	CD
A67375	518	139	−	−	NNP
A67375	518	140	0.5295	0.5295	CD
A67375	518	141	−	−	NNP
A67375	518	142	0.0816	0.0816	NFP
A67375	518	143	−	−	NNP
A67375	518	144	0.1632	0.1632	NFP
A67375	518	145	−	−	NNP
A67375	518	146	0.2447	0.2447	CD
A67375	518	147	−	−	NNP
A67375	518	148	0.3263	0.3263	CD
A67375	518	149	−	−	NNP
A67375	518	150	0.4079	0.4079	CD
A67375	518	151	−	−	NNP
A67375	518	152	0	0	CD
A67375	518	153	.	.	.
A67375	519	1	−	−	NNP
A67375	519	2	0	0	CD
A67375	519	3	.	.	.
A67375	520	1	−	−	NNP
A67375	520	2	0	0	CD
A67375	520	3	.	.	.
A67375	521	1	−	−	NNP
A67375	521	2	0	0	CD
A67375	521	3	.	.	.
A67375	522	1	−	−	NNP
A67375	522	2	0	0	CD
A67375	522	3	.	.	.
A67375	523	1	65	65	CD
A67375	523	2	.	.	.
A67375	524	1	There	there	EX
A67375	524	2	are	be	VBP
A67375	524	3	many	many	JJ
A67375	524	4	other	other	JJ
A67375	524	5	Sections	section	NNS
A67375	524	6	which	which	WDT
A67375	524	7	may	may	MD
A67375	524	8	be	be	VB
A67375	524	9	made	make	VBN
A67375	524	10	of	of	IN
A67375	524	11	the	the	DT
A67375	524	12	same	same	JJ
A67375	524	13	Solid	Solid	NNP
A67375	524	14	;	;	:
A67375	524	15	but	but	CC
A67375	524	16	these	these	DT
A67375	524	17	being	be	VBG
A67375	524	18	all	all	DT
A67375	524	19	that	that	WDT
A67375	524	20	were	be	VBD
A67375	524	21	proposed	propose	VBN
A67375	524	22	to	to	TO
A67375	524	23	be	be	VB
A67375	524	24	considered	consider	VBN
A67375	524	25	,	,	,
A67375	524	26	I	-PRON-	PRP
A67375	524	27	shall	shall	MD
A67375	524	28	stay	stay	VB
A67375	524	29	here	here	RB
A67375	524	30	.	.	.
A67375	525	1	66	66	CD
A67375	525	2	.	.	.
A67375	526	1	But	but	CC
A67375	526	2	these	these	DT
A67375	526	3	four	four	CD
A67375	526	4	last	last	JJ
A67375	526	5	mentioned	mention	VBN
A67375	526	6	(	(	-LRB-
A67375	526	7	and	and	CC
A67375	526	8	divers	diver	VBZ
A67375	526	9	others	other	NNS
A67375	526	10	,	,	,
A67375	526	11	though	though	IN
A67375	526	12	somewhat	somewhat	RB
A67375	526	13	different	different	JJ
A67375	526	14	from	from	IN
A67375	526	15	them	-PRON-	PRP
A67375	526	16	)	)	-RRB-
A67375	526	17	do	do	VBP
A67375	526	18	all	all	DT
A67375	526	19	fall	fall	VB
A67375	526	20	under	under	IN
A67375	526	21	one	one	CD
A67375	526	22	General	General	NNP
A67375	526	23	,	,	,
A67375	526	24	as	as	IN
A67375	526	25	so	so	RB
A67375	526	26	many	many	JJ
A67375	526	27	Particulars	Particulars	NNPS
A67375	526	28	of	of	IN
A67375	526	29	it	-PRON-	PRP
A67375	526	30	:	:	:
A67375	526	31	For	for	IN
A67375	526	32	the	the	DT
A67375	526	33	better	well	JJR
A67375	526	34	consideration	consideration	NN
A67375	526	35	of	of	IN
A67375	526	36	which	which	WDT
A67375	526	37	,	,	,
A67375	526	38	I	-PRON-	PRP
A67375	526	39	shall	shall	MD
A67375	526	40	compleat	compleat	VB
A67375	526	41	the	the	DT
A67375	526	42	Body	body	NN
A67375	526	43	(	(	-LRB-
A67375	526	44	or	or	CC
A67375	526	45	at	at	IN
A67375	526	46	least	least	JJS
A67375	526	47	the	the	DT
A67375	526	48	half	half	NN
A67375	526	49	of	of	IN
A67375	526	50	it	-PRON-	PRP
A67375	526	51	)	)	-RRB-
A67375	526	52	which	which	WDT
A67375	526	53	is	be	VBZ
A67375	526	54	here	here	RB
A67375	526	55	but	but	CC
A67375	526	56	Quadrantal	Quadrantal	NNP
A67375	526	57	;	;	:
A67375	526	58	and	and	CC
A67375	526	59	imagin	imagin	VB
A67375	526	60	it	-PRON-	PRP
A67375	526	61	farther	farth	JJR
A67375	526	62	to	to	TO
A67375	526	63	be	be	VB
A67375	526	64	continued	continue	VBN
A67375	526	65	downward	downward	RB
A67375	526	66	(	(	-LRB-
A67375	526	67	below	below	IN
A67375	526	68	its	-PRON-	PRP$
A67375	526	69	Circular	Circular	NNP
A67375	526	70	Base	Base	NNP
A67375	526	71	)	)	-RRB-
A67375	526	72	so	so	RB
A67375	526	73	far	far	RB
A67375	526	74	as	as	IN
A67375	526	75	shall	shall	MD
A67375	526	76	be	be	VB
A67375	526	77	necessary	necessary	JJ
A67375	526	78	;	;	:
A67375	526	79	and	and	CC
A67375	526	80	continued	continue	VBD
A67375	526	81	upward	upward	RB
A67375	526	82	(	(	-LRB-
A67375	526	83	after	after	IN
A67375	526	84	an	an	DT
A67375	526	85	intersection	intersection	NN
A67375	526	86	in	in	IN
A67375	526	87	the	the	DT
A67375	526	88	Line	Line	NNP
A67375	526	89	AB	AB	NNP
A67375	526	90	)	)	-RRB-
A67375	526	91	in	in	IN
A67375	526	92	like	like	JJ
A67375	526	93	manner	manner	NN
A67375	526	94	,	,	,
A67375	526	95	as	as	IN
A67375	526	96	opposite	opposite	JJ
A67375	526	97	Cones	Cones	NNPS
A67375	526	98	are	be	VBP
A67375	526	99	wo	will	MD
A67375	526	100	nt	not	RB
A67375	526	101	to	to	TO
A67375	526	102	be	be	VB
A67375	526	103	considered	consider	VBN
A67375	526	104	.	.	.
A67375	527	1	67	67	CD
A67375	527	2	.	.	.
A67375	528	1	Supposing	supposing	NN
A67375	528	2	then	then	RB
A67375	528	3	(	(	-LRB-
A67375	528	4	Fig	fig	NN
A67375	528	5	.	.	.
A67375	529	1	10	10	CD
A67375	529	2	.	.	.
A67375	529	3	)	)	-RRB-
A67375	530	1	on	on	IN
A67375	530	2	the	the	DT
A67375	530	3	Center	Center	NNP
A67375	530	4	C	C	NNP
A67375	530	5	,	,	,
A67375	530	6	and	and	CC
A67375	530	7	Diameter	Diameter	NNP
A67375	530	8	ΔD	ΔD	NNP
A67375	530	9	,	,	,
A67375	530	10	a	a	DT
A67375	530	11	Circle	Circle	NNP
A67375	530	12	described	describe	VBD
A67375	530	13	ΔSQD	ΔSQD	NNP
A67375	530	14	;	;	:
A67375	530	15	and	and	CC
A67375	530	16	CQ	CQ	NNP
A67375	530	17	perpendicular	perpendicular	JJ
A67375	530	18	to	to	IN
A67375	530	19	the	the	DT
A67375	530	20	Diameter	Diameter	NNP
A67375	530	21	ΔCD	ΔCD	NNP
A67375	530	22	,	,	,
A67375	530	23	dividing	divide	VBG
A67375	530	24	the	the	DT
A67375	530	25	Semicircle	Semicircle	NNP
A67375	530	26	ΔQD	ΔQD	NNP
A67375	530	27	into	into	IN
A67375	530	28	two	two	CD
A67375	530	29	Quadrants	Quadrants	NNPS
A67375	530	30	;	;	:
A67375	530	31	and	and	CC
A67375	530	32	(	(	-LRB-
A67375	530	33	at	at	IN
A67375	530	34	Right	Right	NNP
A67375	530	35	Angles	Angles	NNPS
A67375	530	36	to	to	IN
A67375	530	37	the	the	DT
A67375	530	38	Plain	Plain	NNP
A67375	530	39	of	of	IN
A67375	530	40	the	the	DT
A67375	530	41	Circle	Circle	NNP
A67375	530	42	)	)	-RRB-
A67375	530	43	a	a	DT
A67375	530	44	Rectangle	Rectangle	NNP
A67375	530	45	ΔDBβ	ΔDBβ	NNP
A67375	530	46	,	,	,
A67375	530	47	divided	divide	VBD
A67375	530	48	into	into	IN
A67375	530	49	two	two	CD
A67375	530	50	equal	equal	JJ
A67375	530	51	parts	part	NNS
A67375	530	52	by	by	IN
A67375	530	53	the	the	DT
A67375	530	54	streight	streight	JJ
A67375	530	55	Line	Line	NNP
A67375	530	56	CA	CA	NNP
A67375	530	57	;	;	:
A67375	530	58	(	(	-LRB-
A67375	530	59	and	and	CC
A67375	530	60	therefore	therefore	RB
A67375	530	61	,	,	,
A67375	530	62	joining	join	VBG
A67375	530	63	QA	qa	NN
A67375	530	64	,	,	,
A67375	530	65	the	the	DT
A67375	530	66	Triangle	Triangle	NNP
A67375	530	67	CQA	CQA	NNP
A67375	530	68	will	will	MD
A67375	530	69	be	be	VB
A67375	530	70	at	at	IN
A67375	530	71	Right	Right	NNP
A67375	530	72	Angles	Angles	NNPS
A67375	530	73	to	to	IN
A67375	530	74	both	both	PDT
A67375	530	75	the	the	DT
A67375	530	76	Plains	Plains	NNPS
A67375	530	77	:	:	:
A67375	530	78	)	)	-RRB-
A67375	530	79	And	and	CC
A67375	530	80	from	from	IN
A67375	530	81	every	every	DT
A67375	530	82	Point	Point	NNP
A67375	530	83	S	S	NNP
A67375	530	84	in	in	IN
A67375	530	85	the	the	DT
A67375	530	86	Perimeter	Perimeter	NNP
A67375	530	87	of	of	IN
A67375	530	88	the	the	DT
A67375	530	89	Circle	Circle	NNP
A67375	530	90	,	,	,
A67375	530	91	to	to	IN
A67375	530	92	the	the	DT
A67375	530	93	respective	respective	JJ
A67375	530	94	Points	point	NNS
A67375	530	95	a	a	DT
A67375	530	96	in	in	IN
A67375	530	97	the	the	DT
A67375	530	98	Line	Line	NNP
A67375	530	99	Bβ	Bβ	NNP
A67375	530	100	(	(	-LRB-
A67375	530	101	in	in	IN
A67375	530	102	Plains	Plains	NNP
A67375	530	103	parallel	parallel	JJ
A67375	530	104	to	to	IN
A67375	530	105	ACQ	ACQ	NNP
A67375	530	106	)	)	-RRB-
A67375	530	107	the	the	DT
A67375	530	108	streight	streight	JJ
A67375	530	109	Lines	Lines	NNP
A67375	530	110	Sa	Sa	NNP
A67375	530	111	to	to	TO
A67375	530	112	be	be	VB
A67375	530	113	drawn	draw	VBN
A67375	530	114	,	,	,
A67375	530	115	compleating	compleate	VBG
A67375	530	116	on	on	IN
A67375	530	117	either	either	DT
A67375	530	118	side	side	NN
A67375	530	119	of	of	IN
A67375	530	120	the	the	DT
A67375	530	121	Rectangle	Rectangle	NNP
A67375	530	122	a	a	DT
A67375	530	123	Curve	Curve	NNP
A67375	530	124	Superficies	superficie	NNS
A67375	530	125	ΔSDBβ	ΔSDBβ	NNPS
A67375	530	126	:	:	:
A67375	530	127	These	these	DT
A67375	530	128	with	with	IN
A67375	530	129	the	the	DT
A67375	530	130	Circle	Circle	NNP
A67375	530	131	contain	contain	NN
A67375	530	132	a	a	DT
A67375	530	133	Solid	Solid	NNP
A67375	530	134	,	,	,
A67375	530	135	which	which	WDT
A67375	530	136	I	-PRON-	PRP
A67375	530	137	call	call	VBP
A67375	530	138	a	a	DT
A67375	530	139	Cono	Cono	NNP
A67375	530	140	-	-	HYPH
A67375	530	141	Cuneus	Cuneus	NNP
A67375	530	142	,	,	,
A67375	530	143	made	make	VBN
A67375	530	144	up	up	RP
A67375	530	145	of	of	IN
A67375	530	146	four	four	CD
A67375	530	147	such	such	JJ
A67375	530	148	quadrantal	quadrantal	JJ
A67375	530	149	Solids	Solids	NNP
A67375	530	150	as	as	IN
A67375	530	151	are	be	VBP
A67375	530	152	above	above	RB
A67375	530	153	described	describe	VBN
A67375	530	154	at	at	IN
A67375	530	155	§	§	CD
A67375	530	156	1	1	CD
A67375	530	157	.	.	.
A67375	530	158	which	which	WDT
A67375	530	159	Solid	Solid	NNP
A67375	530	160	(	(	-LRB-
A67375	530	161	and	and	CC
A67375	530	162	it	-PRON-	PRP
A67375	530	163	s	s	VBZ
A67375	530	164	Opposite	opposite	JJ
A67375	530	165	,	,	,
A67375	530	166	made	make	VBN
A67375	530	167	by	by	IN
A67375	530	168	a	a	DT
A67375	530	169	decussation	decussation	NN
A67375	530	170	in	in	IN
A67375	530	171	the	the	DT
A67375	530	172	Line	Line	NNP
A67375	530	173	Bβ	Bβ	NNP
A67375	530	174	)	)	-RRB-
A67375	530	175	we	-PRON-	PRP
A67375	530	176	suppose	suppose	VBP
A67375	530	177	to	to	TO
A67375	530	178	be	be	VB
A67375	530	179	continued	continue	VBN
A67375	530	180	as	as	RB
A67375	530	181	far	far	RB
A67375	530	182	as	as	IN
A67375	530	183	is	be	VBZ
A67375	530	184	necessary	necessary	JJ
A67375	530	185	.	.	.
A67375	531	1	68	68	CD
A67375	531	2	.	.	.
A67375	532	1	If	if	IN
A67375	532	2	this	this	DT
A67375	532	3	Solid	Solid	NNPS
A67375	532	4	be	be	VB
A67375	532	5	cut	cut	VBN
A67375	532	6	by	by	IN
A67375	532	7	a	a	DT
A67375	532	8	Plain	Plain	NNP
A67375	532	9	at	at	IN
A67375	532	10	Right	Right	NNP
A67375	532	11	-	-	HYPH
A67375	532	12	Angles	Angles	NNP
A67375	532	13	,	,	,
A67375	532	14	to	to	IN
A67375	532	15	the	the	DT
A67375	532	16	Rectangle	Rectangle	NNP
A67375	532	17	ΔDBβ	ΔDBβ	NNPS
A67375	532	18	,	,	,
A67375	532	19	the	the	DT
A67375	532	20	Section	Section	NNP
A67375	532	21	of	of	IN
A67375	532	22	that	that	DT
A67375	532	23	Plain	Plain	NNP
A67375	532	24	,	,	,
A67375	532	25	with	with	IN
A67375	532	26	this	this	DT
A67375	532	27	Rectangle	Rectangle	NNP
A67375	532	28	,	,	,
A67375	532	29	will	will	MD
A67375	532	30	be	be	VB
A67375	532	31	either	either	CC
A67375	532	32	parallel	parallel	NN
A67375	532	33	to	to	IN
A67375	532	34	BD	BD	NNP
A67375	532	35	,	,	,
A67375	532	36	(	(	-LRB-
A67375	532	37	and	and	CC
A67375	532	38	then	then	RB
A67375	532	39	the	the	DT
A67375	532	40	Section	Section	NNP
A67375	532	41	will	will	MD
A67375	532	42	be	be	VB
A67375	532	43	a	a	DT
A67375	532	44	Right	right	RB
A67375	532	45	-	-	HYPH
A67375	532	46	angled	angle	VBN
A67375	532	47	Triangle	Triangle	NNP
A67375	532	48	,	,	,
A67375	532	49	as	as	IN
A67375	532	50	in	in	IN
A67375	532	51	our	-PRON-	PRP$
A67375	532	52	first	first	JJ
A67375	532	53	Case	case	NN
A67375	532	54	,	,	,
A67375	532	55	§	§	ADD
A67375	532	56	6	6	CD
A67375	532	57	.	.	.
A67375	532	58	)	)	-RRB-
A67375	533	1	or	or	CC
A67375	533	2	parallel	parallel	DT
A67375	533	3	to	to	IN
A67375	533	4	DΔ	DΔ	NNP
A67375	533	5	;	;	:
A67375	533	6	(	(	-LRB-
A67375	533	7	and	and	CC
A67375	533	8	then	then	RB
A67375	533	9	the	the	DT
A67375	533	10	Section	Section	NNP
A67375	533	11	will	will	MD
A67375	533	12	be	be	VB
A67375	533	13	an	an	DT
A67375	533	14	Ellipse	Ellipse	NNP
A67375	533	15	,	,	,
A67375	533	16	as	as	IN
A67375	533	17	in	in	IN
A67375	533	18	our	-PRON-	PRP$
A67375	533	19	second	second	JJ
A67375	533	20	Case	Case	NNP
A67375	533	21	,	,	,
A67375	533	22	§	§	ADD
A67375	533	23	13	13	CD
A67375	533	24	.	.	.
A67375	533	25	)	)	-RRB-
A67375	534	1	or	or	CC
A67375	534	2	at	at	IN
A67375	534	3	lest	l	JJS
A67375	534	4	will	will	MD
A67375	534	5	obliquely	obliquely	RB
A67375	534	6	cut	cut	VB
A67375	534	7	the	the	DT
A67375	534	8	two	two	CD
A67375	534	9	opposite	opposite	JJ
A67375	534	10	Sides	Sides	NNP
A67375	534	11	βΔ	βΔ	NNP
A67375	534	12	,	,	,
A67375	534	13	BD	BD	NNP
A67375	534	14	,	,	,
A67375	534	15	(	(	-LRB-
A67375	534	16	produced	produce	VBN
A67375	534	17	,	,	,
A67375	534	18	if	if	IN
A67375	534	19	need	need	NN
A67375	534	20	be	be	VB
A67375	534	21	)	)	-RRB-
A67375	534	22	in	in	IN
A67375	534	23	δ	δ	NN
A67375	534	24	,	,	,
A67375	534	25	d	d	XX
A67375	534	26	;	;	:
A67375	534	27	which	which	WDT
A67375	534	28	Line	Line	NNP
A67375	534	29	δd	δd	NNP
A67375	534	30	I	-PRON-	PRP
A67375	534	31	call	call	VBP
A67375	534	32	,	,	,
A67375	534	33	the	the	DT
A67375	534	34	Diameter	Diameter	NNP
A67375	534	35	of	of	IN
A67375	534	36	the	the	DT
A67375	534	37	Curve	Curve	NNP
A67375	534	38	Line	Line	NNP
A67375	534	39	,	,	,
A67375	534	40	made	make	VBN
A67375	534	41	by	by	IN
A67375	534	42	the	the	DT
A67375	534	43	Section	Section	NNP
A67375	534	44	of	of	IN
A67375	534	45	the	the	DT
A67375	534	46	Solid	Solid	NNP
A67375	534	47	.	.	.
A67375	535	1	69	69	CD
A67375	535	2	.	.	.
A67375	536	1	And	and	CC
A67375	536	2	,	,	,
A67375	536	3	under	under	IN
A67375	536	4	this	this	DT
A67375	536	5	last	last	JJ
A67375	536	6	case	case	NN
A67375	536	7	,	,	,
A67375	536	8	fall	fall	VB
A67375	536	9	the	the	DT
A67375	536	10	four	four	CD
A67375	536	11	last	last	JJ
A67375	536	12	of	of	IN
A67375	536	13	these	these	DT
A67375	536	14	before	before	RB
A67375	536	15	-	-	HYPH
A67375	536	16	mentioned	mention	VBN
A67375	536	17	,	,	,
A67375	536	18	(	(	-LRB-
A67375	536	19	the	the	DT
A67375	536	20	fourth	fourth	JJ
A67375	536	21	,	,	,
A67375	536	22	fifth	fifth	JJ
A67375	536	23	,	,	,
A67375	536	24	sixth	sixth	JJ
A67375	536	25	,	,	,
A67375	536	26	and	and	CC
A67375	536	27	seventh	seventh	JJ
A67375	536	28	)	)	-RRB-
A67375	536	29	as	as	IN
A67375	536	30	appears	appear	VBZ
A67375	536	31	by	by	IN
A67375	536	32	the	the	DT
A67375	536	33	Scheme	Scheme	NNP
A67375	536	34	:	:	:
A67375	536	35	Where	where	WRB
A67375	536	36	Cd	Cd	NNP
A67375	536	37	,	,	,
A67375	536	38	CB	CB	NNP
A67375	536	39	,	,	,
A67375	536	40	Cb	Cb	NNP
A67375	536	41	,	,	,
A67375	536	42	answer	answer	VB
A67375	536	43	the	the	DT
A67375	536	44	fourth	fourth	JJ
A67375	536	45	Case	case	NN
A67375	536	46	;	;	:
A67375	536	47	Δb	Δb	NNP
A67375	536	48	,	,	,
A67375	536	49	Δc	Δc	NNP
A67375	536	50	,	,	,
A67375	536	51	ΔA	ΔA	NNP
A67375	536	52	,	,	,
A67375	536	53	answer	answer	VB
A67375	536	54	the	the	DT
A67375	536	55	fifth	fifth	JJ
A67375	536	56	Case	case	NN
A67375	536	57	;	;	:
A67375	536	58	Bc	Bc	NNP
A67375	536	59	,	,	,
A67375	536	60	BC	BC	NNP
A67375	536	61	,	,	,
A67375	536	62	Br	br	UH
A67375	536	63	,	,	,
A67375	536	64	answer	answer	VB
A67375	536	65	the	the	DT
A67375	536	66	sixth	sixth	JJ
A67375	536	67	case	case	NN
A67375	536	68	;	;	:
A67375	536	69	and	and	CC
A67375	536	70	Aδ	Aδ	NNP
A67375	536	71	,	,	,
A67375	536	72	AΔ	AΔ	NNP
A67375	536	73	,	,	,
A67375	536	74	Ar	Ar	NNP
A67375	536	75	,	,	,
A67375	536	76	answer	answer	VB
A67375	536	77	the	the	DT
A67375	536	78	seventh	seventh	JJ
A67375	536	79	Case	Case	NNP
A67375	536	80	.	.	.
A67375	537	1	But	but	CC
A67375	537	2	the	the	DT
A67375	537	3	Curves	curve	NNS
A67375	537	4	answering	answer	VBG
A67375	537	5	these	these	DT
A67375	537	6	Diameters	diameter	NNS
A67375	537	7	I	-PRON-	PRP
A67375	537	8	have	have	VBP
A67375	537	9	omitted	omit	VBN
A67375	537	10	,	,	,
A67375	537	11	to	to	TO
A67375	537	12	avoid	avoid	VB
A67375	537	13	confusion	confusion	NN
A67375	537	14	in	in	IN
A67375	537	15	the	the	DT
A67375	537	16	Figure	Figure	NNP
A67375	537	17	.	.	.
A67375	538	1	70	70	CD
A67375	538	2	.	.	.
A67375	539	1	Now	now	RB
A67375	539	2	a	a	DT
A67375	539	3	Point	point	NN
A67375	539	4	being	be	VBG
A67375	539	5	assigned	assign	VBN
A67375	539	6	(	(	-LRB-
A67375	539	7	Fig	fig	NN
A67375	539	8	.	.	.
A67375	540	1	11	11	CD
A67375	540	2	.	.	.
A67375	540	3	)	)	-RRB-
A67375	541	1	in	in	IN
A67375	541	2	any	any	DT
A67375	541	3	of	of	IN
A67375	541	4	the	the	DT
A67375	541	5	Diameters	Diameters	NNPS
A67375	541	6	δd	δd	NNP
A67375	541	7	,	,	,
A67375	541	8	the	the	DT
A67375	541	9	Ordinate	Ordinate	NNP
A67375	541	10	,	,	,
A67375	541	11	or	or	CC
A67375	541	12	perpendicular	perpendicular	JJ
A67375	541	13	height	height	NN
A67375	541	14	of	of	IN
A67375	541	15	the	the	DT
A67375	541	16	Curve	curve	NN
A67375	541	17	over	over	IN
A67375	541	18	that	that	DT
A67375	541	19	Point	Point	NNP
A67375	541	20	,	,	,
A67375	541	21	is	be	VBZ
A67375	541	22	thus	thus	RB
A67375	541	23	found	find	VBN
A67375	541	24	Geometrically	Geometrically	NNP
A67375	541	25	:	:	:
A67375	541	26	By	by	IN
A67375	541	27	the	the	DT
A67375	541	28	Point	Point	NNP
A67375	541	29	assigned	assign	VBN
A67375	541	30	ρ	ρ	IN
A67375	541	31	,	,	,
A67375	541	32	suppose	suppose	VB
A67375	541	33	aρR	aρR	NNP
A67375	541	34	drawn	draw	VBN
A67375	541	35	parallel	parallel	NN
A67375	541	36	to	to	IN
A67375	541	37	BD	BD	NNP
A67375	541	38	,	,	,
A67375	541	39	cutting	cut	VBG
A67375	541	40	βB	βB	NNP
A67375	541	41	in	in	IN
A67375	541	42	a	a	DT
A67375	541	43	,	,	,
A67375	541	44	and	and	CC
A67375	541	45	ΔD	ΔD	NNP
A67375	541	46	in	in	IN
A67375	541	47	R	r	NN
A67375	541	48	;	;	:
A67375	541	49	on	on	IN
A67375	541	50	which	which	WDT
A67375	541	51	,	,	,
A67375	541	52	suppose	suppose	VB
A67375	541	53	a	a	DT
A67375	541	54	Perpendicular	Perpendicular	NNP
A67375	541	55	Plain	Plain	NNP
A67375	541	56	erected	erect	VBN
A67375	541	57	,	,	,
A67375	541	58	cutting	cut	VBG
A67375	541	59	the	the	DT
A67375	541	60	Semicircle	Semicircle	NNP
A67375	541	61	ΔSD	ΔSD	NNP
A67375	541	62	in	in	IN
A67375	541	63	RS	RS	NNP
A67375	541	64	,	,	,
A67375	541	65	and	and	CC
A67375	541	66	the	the	DT
A67375	541	67	Solid	Solid	NNPS
A67375	541	68	in	in	IN
A67375	541	69	a	a	DT
A67375	541	70	RSa	RSa	NNS
A67375	541	71	Right	right	RB
A67375	541	72	-	-	HYPH
A67375	541	73	lined	line	VBN
A67375	541	74	Triangle	Triangle	NNP
A67375	541	75	;	;	:
A67375	541	76	wherein	wherein	WRB
A67375	541	77	ρσ	ρσ	IN
A67375	541	78	being	be	VBG
A67375	541	79	drawn	draw	VBN
A67375	541	80	parallel	parallel	JJ
A67375	541	81	to	to	IN
A67375	541	82	RS	RS	NNP
A67375	541	83	,	,	,
A67375	541	84	will	will	MD
A67375	541	85	be	be	VB
A67375	541	86	Perpendicular	perpendicular	JJ
A67375	541	87	to	to	IN
A67375	541	88	the	the	DT
A67375	541	89	Plain	Plain	NNP
A67375	541	90	of	of	IN
A67375	541	91	the	the	DT
A67375	541	92	Rectangle	Rectangle	NNP
A67375	541	93	,	,	,
A67375	541	94	as	as	IN
A67375	541	95	is	be	VBZ
A67375	541	96	the	the	DT
A67375	541	97	Line	Line	NNP
A67375	541	98	RS	rs	NN
A67375	541	99	:	:	:
A67375	541	100	And	and	CC
A67375	541	101	therefore	therefore	RB
A67375	541	102	σ	σ	NNP
A67375	541	103	is	be	VBZ
A67375	541	104	that	that	IN
A67375	541	105	Point	Point	NNP
A67375	541	106	of	of	IN
A67375	541	107	the	the	DT
A67375	541	108	Curve	Curve	NNP
A67375	541	109	-	-	HYPH
A67375	541	110	Super	super	NN
A67375	541	111	●	●	CD
A67375	541	112	icies	icie	NNS
A67375	541	113	which	which	WDT
A67375	541	114	is	be	VBZ
A67375	541	115	over	over	IN
A67375	541	116	the	the	DT
A67375	541	117	Point	Point	NNP
A67375	541	118	ρ	ρ	NNP
A67375	541	119	,	,	,
A67375	541	120	(	(	-LRB-
A67375	541	121	through	through	IN
A67375	541	122	which	which	WDT
A67375	541	123	therefore	therefore	RB
A67375	541	124	the	the	DT
A67375	541	125	Curve	curve	NN
A67375	541	126	-	-	HYPH
A67375	541	127	Line	line	NN
A67375	541	128	passeth	passeth	NN
A67375	541	129	,	,	,
A67375	541	130	whose	whose	WP$
A67375	541	131	Axis	Axis	NNP
A67375	541	132	pas	pas	NN
A67375	541	133	●	●	NFP
A67375	541	134	eth	eth	NNP
A67375	541	135	through	through	IN
A67375	541	136	ρ	ρ	IN
A67375	541	137	:	:	:
A67375	541	138	)	)	-RRB-
A67375	541	139	And	and	CC
A67375	541	140	therefore	therefore	RB
A67375	541	141	ρσ	ρσ	NN
A67375	541	142	is	be	VBZ
A67375	541	143	the	the	DT
A67375	541	144	Ordinate	Ordinate	NNP
A67375	541	145	to	to	IN
A67375	541	146	that	that	DT
A67375	541	147	Point	Point	NNP
A67375	541	148	of	of	IN
A67375	541	149	the	the	DT
A67375	541	150	Axis	Axis	NNP
A67375	541	151	or	or	CC
A67375	541	152	Diameter	Diameter	NNP
A67375	541	153	δd	δd	NN
A67375	541	154	.	.	.
A67375	542	1	71	71	CD
A67375	542	2	.	.	.
A67375	543	1	Therefore	therefore	RB
A67375	543	2	the	the	DT
A67375	543	3	Point	Point	NNP
A67375	543	4	ρ	ρ	IN
A67375	543	5	being	be	VBG
A67375	543	6	given	give	VBN
A67375	543	7	,	,	,
A67375	543	8	a	a	DT
A67375	543	9	and	and	CC
A67375	543	10	R	r	NN
A67375	543	11	be	be	VB
A67375	543	12	known	know	VBN
A67375	543	13	also	also	RB
A67375	543	14	;	;	:
A67375	543	15	and	and	CC
A67375	543	16	consequently	consequently	RB
A67375	543	17	,	,	,
A67375	543	18	RS	RS	NNP
A67375	543	19	the	the	DT
A67375	543	20	Ordinate	Ordinate	NNP
A67375	543	21	or	or	CC
A67375	543	22	Right	Right	NNP
A67375	543	23	-	-	HYPH
A67375	543	24	Sine	Sine	NNP
A67375	543	25	belonging	belong	VBG
A67375	543	26	to	to	IN
A67375	543	27	the	the	DT
A67375	543	28	Point	Point	NNP
A67375	543	29	R	R	NNP
A67375	543	30	,	,	,
A67375	543	31	in	in	IN
A67375	543	32	the	the	DT
A67375	543	33	Semicircle	Semicircle	NNP
A67375	543	34	ΔSD	ΔSD	NNP
A67375	543	35	:	:	:
A67375	543	36	Then	then	RB
A67375	543	37	,	,	,
A67375	543	38	because	because	IN
A67375	543	39	a	a	DT
A67375	543	40	RS	rs	NN
A67375	543	41	,	,	,
A67375	543	42	aρσ	aρσ	NN
A67375	543	43	,	,	,
A67375	543	44	are	be	VBP
A67375	543	45	like	like	IN
A67375	543	46	Triangles	Triangles	NNPS
A67375	543	47	,	,	,
A67375	543	48	As	as	IN
A67375	543	49	aR	aR	NNP
A67375	543	50	is	be	VBZ
A67375	543	51	to	to	TO
A67375	543	52	aρ	aρ	VB
A67375	543	53	,	,	,
A67375	543	54	So	so	RB
A67375	543	55	is	be	VBZ
A67375	543	56	RS	rs	NN
A67375	543	57	to	to	IN
A67375	543	58	ρσ	ρσ	NNP
A67375	543	59	.	.	.
A67375	544	1	72	72	CD
A67375	544	2	.	.	.
A67375	545	1	Having	have	VBG
A67375	545	2	thus	thus	RB
A67375	545	3	found	find	VBN
A67375	545	4	as	as	IN
A67375	545	5	many	many	JJ
A67375	545	6	of	of	IN
A67375	545	7	the	the	DT
A67375	545	8	Points	Points	NNPS
A67375	545	9	σ	σ	NNP
A67375	545	10	as	as	IN
A67375	545	11	shall	shall	MD
A67375	545	12	be	be	VB
A67375	545	13	thought	think	VBN
A67375	545	14	necessary	necessary	JJ
A67375	545	15	,	,	,
A67375	545	16	a	a	DT
A67375	545	17	Curve	Curve	NNP
A67375	545	18	-	-	HYPH
A67375	545	19	Line	line	NN
A67375	545	20	regularly	regularly	RB
A67375	545	21	drawn	draw	VBN
A67375	545	22	by	by	IN
A67375	545	23	them	-PRON-	PRP
A67375	545	24	is	be	VBZ
A67375	545	25	that	that	DT
A67375	545	26	Curve	curve	NN
A67375	545	27	to	to	TO
A67375	545	28	which	which	WDT
A67375	545	29	δd	δd	NNP
A67375	545	30	is	be	VBZ
A67375	545	31	the	the	DT
A67375	545	32	Axis	Axis	NNP
A67375	545	33	.	.	.
A67375	546	1	73	73	CD
A67375	546	2	.	.	.
A67375	547	1	The	the	DT
A67375	547	2	Arithmetical	Arithmetical	NNP
A67375	547	3	Calculation	Calculation	NNP
A67375	547	4	may	may	MD
A67375	547	5	be	be	VB
A67375	547	6	thus	thus	RB
A67375	547	7	performed	perform	VBN
A67375	547	8	:	:	:
A67375	547	9	Supposing	suppose	VBG
A67375	547	10	ΔD	ΔD	NNP
A67375	547	11	to	to	TO
A67375	547	12	be	be	VB
A67375	547	13	divided	divide	VBN
A67375	547	14	into	into	IN
A67375	547	15	any	any	DT
A67375	547	16	number	number	NN
A67375	547	17	of	of	IN
A67375	547	18	equal	equal	JJ
A67375	547	19	parts	part	NNS
A67375	547	20	at	at	IN
A67375	547	21	the	the	DT
A67375	547	22	Points	Points	NNPS
A67375	547	23	R	R	NNP
A67375	547	24	,	,	,
A67375	547	25	the	the	DT
A67375	547	26	Lines	Lines	NNPS
A67375	547	27	Ra	Ra	NNP
A67375	547	28	(	(	-LRB-
A67375	547	29	produced	produce	VBN
A67375	547	30	if	if	IN
A67375	547	31	need	need	NN
A67375	547	32	be	be	VB
A67375	547	33	)	)	-RRB-
A67375	547	34	will	will	MD
A67375	547	35	divide	divide	VB
A67375	547	36	δd	δd	NNP
A67375	547	37	into	into	IN
A67375	547	38	the	the	DT
A67375	547	39	same	same	JJ
A67375	547	40	number	number	NN
A67375	547	41	of	of	IN
A67375	547	42	equal	equal	JJ
A67375	547	43	parts	part	NNS
A67375	547	44	at	at	IN
A67375	547	45	the	the	DT
A67375	547	46	Points	Points	NNPS
A67375	547	47	ρ	ρ	XX
A67375	547	48	:	:	:
A67375	547	49	And	and	CC
A67375	547	50	if	if	IN
A67375	547	51	,	,	,
A67375	547	52	from	from	IN
A67375	547	53	d	d	NN
A67375	547	54	,	,	,
A67375	547	55	be	be	VB
A67375	547	56	drawn	draw	VBN
A67375	547	57	de	de	FW
A67375	547	58	parallel	parallel	NN
A67375	547	59	to	to	IN
A67375	547	60	Δδ	Δδ	NNP
A67375	547	61	,	,	,
A67375	547	62	cutting	cut	VBG
A67375	547	63	Δβ	Δβ	NNP
A67375	547	64	in	in	IN
A67375	547	65	e	e	NNP
A67375	547	66	,	,	,
A67375	547	67	and	and	CC
A67375	547	68	ρε	ρε	VBN
A67375	547	69	from	from	IN
A67375	547	70	the	the	DT
A67375	547	71	Points	Points	NNPS
A67375	547	72	ρ	ρ	NNP
A67375	547	73	,	,	,
A67375	547	74	the	the	DT
A67375	547	75	Parallels	Parallels	NNPS
A67375	547	76	ρε	ρε	VBP
A67375	547	77	will	will	MD
A67375	547	78	cut	cut	VB
A67375	547	79	δε	δε	NNP
A67375	547	80	into	into	IN
A67375	547	81	the	the	DT
A67375	547	82	same	same	JJ
A67375	547	83	number	number	NN
A67375	547	84	of	of	IN
A67375	547	85	equal	equal	JJ
A67375	547	86	parts	part	NNS
A67375	547	87	.	.	.
A67375	548	1	74	74	CD
A67375	548	2	.	.	.
A67375	549	1	Supposing	supposing	NN
A67375	549	2	then	then	RB
A67375	549	3	(	(	-LRB-
A67375	549	4	for	for	IN
A67375	549	5	the	the	DT
A67375	549	6	more	more	RBR
A67375	549	7	convenient	convenient	JJ
A67375	549	8	calculation	calculation	NN
A67375	549	9	)	)	-RRB-
A67375	549	10	ΔD	ΔD	NNP
A67375	549	11	=	=	SYM
A67375	549	12	D	D	NNP
A67375	549	13	,	,	,
A67375	549	14	ΔR	ΔR	NNP
A67375	549	15	=	=	SYM
A67375	549	16	d	d	XX
A67375	549	17	,	,	,
A67375	549	18	δe	δe	NNP
A67375	549	19	=	=	SYM
A67375	549	20	Ω	Ω	NNP
A67375	549	21	,	,	,
A67375	549	22	δε	δε	NNP
A67375	549	23	=	=	SYM
A67375	549	24	ω	ω	XX
A67375	549	25	,	,	,
A67375	549	26	(	(	-LRB-
A67375	549	27	and	and	CC
A67375	549	28	therefore	therefore	RB
A67375	549	29	δd	δd	NNP
A67375	549	30	=	=	NFP
A67375	549	31	●	●	NFP
A67375	549	32	radic	radic	NN
A67375	549	33	;	;	,
A67375	549	34	:	:	:
A67375	549	35	D2+Ω	d2+ω	JJ
A67375	549	36	2	2	CD
A67375	549	37	,	,	,
A67375	549	38	and	and	CC
A67375	549	39	δπ	δπ	NNP
A67375	549	40	=	=	SYM
A67375	549	41	√	√	NNP
A67375	549	42	:	:	:
A67375	549	43	d2+ω	d2+ω	NN
A67375	549	44	2	2	CD
A67375	549	45	βΔ	βδ	NN
A67375	549	46	=	=	NFP
A67375	549	47	A	a	NN
A67375	549	48	(	(	-LRB-
A67375	549	49	the	the	DT
A67375	549	50	Altitude	altitude	NN
A67375	549	51	of	of	IN
A67375	549	52	βB	βB	NNP
A67375	549	53	above	above	IN
A67375	549	54	the	the	DT
A67375	549	55	Base	Base	NNP
A67375	549	56	)	)	-RRB-
A67375	549	57	,	,	,
A67375	549	58	and	and	CC
A67375	549	59	δβ	δβ	NNP
A67375	549	60	=	=	SYM
A67375	549	61	α	α	FW
A67375	549	62	(	(	-LRB-
A67375	549	63	the	the	DT
A67375	549	64	Altitude	Altitude	NNP
A67375	549	65	of	of	IN
A67375	549	66	βB	βB	NNP
A67375	549	67	the	the	DT
A67375	549	68	Vertex	Vertex	NNP
A67375	549	69	of	of	IN
A67375	549	70	the	the	DT
A67375	549	71	Solid	Solid	NNP
A67375	549	72	,	,	,
A67375	549	73	above	above	IN
A67375	549	74	δ	δ	NN
A67375	549	75	the	the	DT
A67375	549	76	lower	low	JJR
A67375	549	77	Vertex	Vertex	NNP
A67375	549	78	of	of	IN
A67375	549	79	the	the	DT
A67375	549	80	Curve	Curve	NNP
A67375	549	81	-	-	HYPH
A67375	549	82	Line	Line	NNP
A67375	549	83	)	)	-RRB-
A67375	549	84	;	;	:
A67375	549	85	then	then	RB
A67375	549	86	is	be	VBZ
A67375	549	87	eβ	eβ	NN
A67375	549	88	=	=	SYM
A67375	549	89	α	α	LS
A67375	549	90	−	−	NNP
A67375	549	91	Ω	Ω	NNP
A67375	549	92	,	,	,
A67375	549	93	εβ	εβ	FW
A67375	549	94	=	=	NN
A67375	549	95	α	α	NNP
A67375	549	96	−	−	NNP
A67375	549	97	ω	ω	CD
A67375	549	98	,	,	,
A67375	549	99	the	the	DT
A67375	549	100	Altitudes	Altitudes	NNPS
A67375	549	101	of	of	IN
A67375	549	102	βB	βB	NNP
A67375	549	103	above	above	IN
A67375	549	104	e	e	NN
A67375	549	105	,	,	,
A67375	549	106	ε	ε	NN
A67375	549	107	,	,	,
A67375	549	108	or	or	CC
A67375	549	109	d	d	NN
A67375	549	110	,	,	,
A67375	549	111	ρ	ρ	XX
A67375	549	112	;	;	:
A67375	549	113	(	(	-LRB-
A67375	549	114	and	and	CC
A67375	549	115	therefore	therefore	RB
A67375	549	116	,	,	,
A67375	549	117	when	when	WRB
A67375	549	118	Ω	Ω	NNP
A67375	549	119	,	,	,
A67375	549	120	ω	ω	NNP
A67375	549	121	,	,	,
A67375	549	122	happen	happen	VB
A67375	549	123	to	to	TO
A67375	549	124	be	be	VB
A67375	549	125	greater	great	JJR
A67375	549	126	than	than	IN
A67375	549	127	α	α	XX
A67375	549	128	,	,	,
A67375	549	129	the	the	DT
A67375	549	130	Quantities	Quantities	NNPS
A67375	549	131	α	α	XX
A67375	549	132	−	−	NNP
A67375	549	133	Ω	Ω	NNP
A67375	549	134	,	,	,
A67375	549	135	α	α	NNP
A67375	549	136	−	−	NNP
A67375	549	137	ω	ω	NNP
A67375	549	138	,	,	,
A67375	549	139	are	be	VBP
A67375	549	140	Negatives	negative	NNS
A67375	549	141	;	;	:
A67375	549	142	and	and	CC
A67375	549	143	consequently	consequently	RB
A67375	549	144	,	,	,
A67375	549	145	e	e	NNP
A67375	549	146	,	,	,
A67375	549	147	ε	ε	NNP
A67375	549	148	,	,	,
A67375	549	149	above	above	IN
A67375	549	150	the	the	DT
A67375	549	151	Vertex	Vertex	NNP
A67375	549	152	βB	βB	NNP
A67375	549	153	,	,	,
A67375	549	154	in	in	IN
A67375	549	155	the	the	DT
A67375	549	156	opposite	opposite	JJ
A67375	549	157	Solid	Solid	NNP
A67375	549	158	)	)	-RRB-
A67375	549	159	and	and	CC
A67375	549	160	RD	RD	NNP
A67375	549	161	=	=	SYM
A67375	549	162	D	D	NNP
A67375	549	163	−	−	NNP
A67375	549	164	d	d	NN
A67375	549	165	;	;	:
A67375	549	166	and	and	CC
A67375	549	167	therefore	therefore	RB
A67375	549	168	RS	RS	NNP
A67375	549	169	=	=	SYM
A67375	549	170	√	√	NN
A67375	549	171	:	:	:
A67375	549	172	D	d	NN
A67375	549	173	2	2	CD
A67375	549	174	−	−	NNP
A67375	549	175	d2	d2	NN
A67375	549	176	.	.	.
A67375	550	1	(	(	-LRB-
A67375	550	2	a	a	DT
A67375	550	3	mean	mean	NN
A67375	550	4	Proportional	Proportional	NNP
A67375	550	5	between	between	IN
A67375	550	6	ΔR	ΔR	NNP
A67375	550	7	,	,	,
A67375	550	8	RD	RD	NNP
A67375	550	9	;	;	:
A67375	550	10	that	that	RB
A67375	550	11	is	is	RB
A67375	550	12	,	,	,
A67375	550	13	between	between	IN
A67375	550	14	d	d	NN
A67375	550	15	,	,	,
A67375	550	16	D	D	NNP
A67375	550	17	−	−	NNP
A67375	550	18	d.	d.	NN
A67375	550	19	)	)	-RRB-
A67375	550	20	75	75	CD
A67375	550	21	.	.	.
A67375	551	1	Then	then	RB
A67375	551	2	,	,	,
A67375	551	3	because	because	IN
A67375	551	4	a	a	DT
A67375	551	5	RS	rs	NN
A67375	551	6	,	,	,
A67375	551	7	aρσ	aρσ	NN
A67375	551	8	,	,	,
A67375	551	9	are	be	VBP
A67375	551	10	like	like	IN
A67375	551	11	Triangles	Triangles	NNP
A67375	551	12	,	,	,
A67375	551	13	(	(	-LRB-
A67375	551	14	whether	whether	IN
A67375	551	15	ρ	ρ	PRP
A67375	551	16	be	be	VB
A67375	551	17	higher	high	JJR
A67375	551	18	or	or	CC
A67375	551	19	lower	low	JJR
A67375	551	20	than	than	IN
A67375	551	21	βB	βB	NNP
A67375	551	22	;	;	:
A67375	551	23	)	)	-RRB-
A67375	551	24	As	as	IN
A67375	551	25	aR	aR	NNP
A67375	551	26	,	,	,
A67375	551	27	or	or	CC
A67375	551	28	βΔ	βΔ	NNP
A67375	551	29	,	,	,
A67375	551	30	is	be	VBZ
A67375	551	31	to	to	TO
A67375	551	32	aρ	aρ	VB
A67375	551	33	,	,	,
A67375	551	34	or	or	CC
A67375	551	35	βε	βε	UH
A67375	551	36	;	;	:
A67375	551	37	So	so	CC
A67375	551	38	is	be	VBZ
A67375	551	39	RS	rs	NN
A67375	551	40	to	to	IN
A67375	551	41	ρσ	ρσ	NNP
A67375	551	42	:	:	:
A67375	551	43	That	that	RB
A67375	551	44	is	is	RB
A67375	551	45	,	,	,
A67375	551	46	As	as	IN
A67375	551	47	A	a	NN
A67375	551	48	to	to	IN
A67375	551	49	α	α	XX
A67375	551	50	−	−	NNP
A67375	551	51	ω	ω	CD
A67375	551	52	;	;	:
A67375	551	53	So	so	CC
A67375	551	54	,	,	,
A67375	551	55	to	to	IN
A67375	551	56	√	√	NNP
A67375	551	57	:	:	:
A67375	551	58	dD	dD	NNP
A67375	551	59	−	−	NNP
A67375	551	60	d	d	NN
A67375	551	61	2	2	CD
A67375	551	62	Which	which	WDT
A67375	551	63	is	be	VBZ
A67375	551	64	therefore	therefore	RB
A67375	551	65	the	the	DT
A67375	551	66	length	length	NN
A67375	551	67	of	of	IN
A67375	551	68	ρσ	ρσ	NN
A67375	551	69	.	.	.
A67375	552	1	76	76	CD
A67375	552	2	.	.	.
A67375	553	1	If	if	IN
A67375	553	2	therefore	therefore	RB
A67375	553	3	,	,	,
A67375	553	4	in	in	IN
A67375	553	5	a	a	DT
A67375	553	6	Plain	Plain	NNP
A67375	553	7	,	,	,
A67375	553	8	a	a	DT
A67375	553	9	Line	line	NN
A67375	553	10	equal	equal	JJ
A67375	553	11	to	to	IN
A67375	553	12	δd	δd	NNP
A67375	553	13	,	,	,
A67375	553	14	be	be	VB
A67375	553	15	divided	divide	VBN
A67375	553	16	at	at	IN
A67375	553	17	ρ	ρ	NN
A67375	553	18	into	into	IN
A67375	553	19	so	so	RB
A67375	553	20	many	many	JJ
A67375	553	21	Parts	part	NNS
A67375	553	22	as	as	IN
A67375	553	23	is	be	VBZ
A67375	553	24	supposed	suppose	VBN
A67375	553	25	;	;	:
A67375	553	26	and	and	CC
A67375	553	27	on	on	IN
A67375	553	28	every	every	DT
A67375	553	29	of	of	IN
A67375	553	30	the	the	DT
A67375	553	31	Points	Points	NNPS
A67375	553	32	ρ	ρ	NNP
A67375	553	33	,	,	,
A67375	553	34	wherein	wherein	WRB
A67375	553	35	it	-PRON-	PRP
A67375	553	36	is	be	VBZ
A67375	553	37	so	so	RB
A67375	553	38	divided	divided	JJ
A67375	553	39	,	,	,
A67375	553	40	be	be	VB
A67375	553	41	erected	erect	VBN
A67375	553	42	Perpendiculars	perpendicular	NNS
A67375	553	43	equal	equal	JJ
A67375	553	44	to	to	IN
A67375	553	45	the	the	DT
A67375	553	46	Lines	line	NNS
A67375	553	47	ρσ	ρσ	NN
A67375	553	48	thus	thus	RB
A67375	553	49	found	find	VBN
A67375	553	50	respectively	respectively	RB
A67375	553	51	(	(	-LRB-
A67375	553	52	observing	observe	VBG
A67375	553	53	still	still	RB
A67375	553	54	,	,	,
A67375	553	55	that	that	IN
A67375	553	56	the	the	DT
A67375	553	57	Negative	Negative	NNP
A67375	553	58	Quantities	Quantities	NNPS
A67375	553	59	are	be	VBP
A67375	553	60	to	to	TO
A67375	553	61	be	be	VB
A67375	553	62	applied	apply	VBN
A67375	553	63	on	on	IN
A67375	553	64	the	the	DT
A67375	553	65	contrary	contrary	JJ
A67375	553	66	part	part	NN
A67375	553	67	of	of	IN
A67375	553	68	the	the	DT
A67375	553	69	Line	Line	NNP
A67375	553	70	thus	thus	RB
A67375	553	71	drawn	draw	VBN
A67375	553	72	)	)	-RRB-
A67375	553	73	;	;	:
A67375	553	74	the	the	DT
A67375	553	75	Curve	curve	NN
A67375	553	76	-	-	HYPH
A67375	553	77	Line	line	NN
A67375	553	78	drawn	draw	VBN
A67375	553	79	by	by	IN
A67375	553	80	the	the	DT
A67375	553	81	Points	Points	NNPS
A67375	553	82	σ	σ	NNP
A67375	553	83	in	in	IN
A67375	553	84	the	the	DT
A67375	553	85	Plain	Plain	NNP
A67375	553	86	,	,	,
A67375	553	87	agrees	agree	VBZ
A67375	553	88	with	with	IN
A67375	553	89	that	that	DT
A67375	553	90	in	in	IN
A67375	553	91	the	the	DT
A67375	553	92	Solid	Solid	NNPS
A67375	553	93	made	make	VBN
A67375	553	94	by	by	IN
A67375	553	95	the	the	DT
A67375	553	96	Section	section	NN
A67375	553	97	thereof	thereof	RB
A67375	553	98	:	:	:
A67375	553	99	And	and	CC
A67375	553	100	may	may	MD
A67375	553	101	be	be	VB
A67375	553	102	therefore	therefore	RB
A67375	553	103	described	describe	VBN
A67375	553	104	without	without	IN
A67375	553	105	an	an	DT
A67375	553	106	actual	actual	JJ
A67375	553	107	cutting	cutting	NN
A67375	553	108	of	of	IN
A67375	553	109	the	the	DT
A67375	553	110	Solid	Solid	NNP
A67375	553	111	,	,	,
A67375	553	112	and	and	CC
A67375	553	113	may	may	MD
A67375	553	114	be	be	VB
A67375	553	115	fitted	fit	VBN
A67375	553	116	to	to	IN
A67375	553	117	any	any	DT
A67375	553	118	proportion	proportion	NN
A67375	553	119	of	of	IN
A67375	553	120	the	the	DT
A67375	553	121	Height	Height	NNP
A67375	553	122	to	to	IN
A67375	553	123	the	the	DT
A67375	553	124	Base	Base	NNP
A67375	553	125	of	of	IN
A67375	553	126	the	the	DT
A67375	553	127	Solid	Solid	NNPS
A67375	553	128	;	;	:
A67375	553	129	and	and	CC
A67375	553	130	in	in	IN
A67375	553	131	whatsoever	whatsoever	JJ
A67375	553	132	position	position	NN
A67375	553	133	the	the	DT
A67375	553	134	Diameter	Diameter	NNP
A67375	553	135	δd	δd	NN
A67375	553	136	be	be	VB
A67375	553	137	supposed	suppose	VBN
A67375	553	138	to	to	TO
A67375	553	139	cut	cut	VB
A67375	553	140	the	the	DT
A67375	553	141	Rectangle	Rectangle	NNP
A67375	553	142	ΔDBβ	ΔDBβ	NNPS
A67375	553	143	in	in	IN
A67375	553	144	that	that	DT
A67375	553	145	Solid	Solid	NNP
A67375	553	146	.	.	.
A67375	554	1	77	77	CD
A67375	554	2	.	.	.
A67375	555	1	This	this	DT
A67375	555	2	Calculation	Calculation	NNP
A67375	555	3	●	●	NFP
A67375	555	4	itted	itte	VBD
A67375	555	5	to	to	IN
A67375	555	6	the	the	DT
A67375	555	7	Circular	Circular	NNP
A67375	555	8	Base	Base	NNP
A67375	555	9	ΔSD	ΔSD	NNP
A67375	555	10	,	,	,
A67375	555	11	may	may	MD
A67375	555	12	with	with	IN
A67375	555	13	the	the	DT
A67375	555	14	same	same	JJ
A67375	555	15	case	case	NN
A67375	555	16	be	be	VB
A67375	555	17	applied	apply	VBN
A67375	555	18	to	to	IN
A67375	555	19	a	a	DT
A67375	555	20	Parabola	Parabola	NNP
A67375	555	21	,	,	,
A67375	555	22	Hyperbola	Hyperbola	NNP
A67375	555	23	,	,	,
A67375	555	24	or	or	CC
A67375	555	25	other	other	JJ
A67375	555	26	Curve	Curve	NNP
A67375	555	27	-	-	HYPH
A67375	555	28	Line	line	NN
A67375	555	29	whatever	whatever	WDT
A67375	555	30	,	,	,
A67375	555	31	whose	whose	WP$
A67375	555	32	Axis	Axis	NNP
A67375	555	33	is	be	VBZ
A67375	555	34	ΔD	ΔD	NNP
A67375	555	35	,	,	,
A67375	555	36	and	and	CC
A67375	555	37	Vertex	Vertex	NNP
A67375	555	38	Δ	Δ	NNP
A67375	555	39	;	;	:
A67375	555	40	if	if	IN
A67375	555	41	instead	instead	RB
A67375	555	42	of	of	IN
A67375	555	43	√	√	NNP
A67375	555	44	:	:	:
A67375	555	45	dD	dD	NNP
A67375	555	46	−	−	NNP
A67375	555	47	d	d	NNP
A67375	555	48	2	2	CD
A67375	555	49	,	,	,
A67375	555	50	(	(	-LRB-
A67375	555	51	which	which	WDT
A67375	555	52	is	be	VBZ
A67375	555	53	here	here	RB
A67375	555	54	the	the	DT
A67375	555	55	Ordinate	Ordinate	NNP
A67375	555	56	in	in	IN
A67375	555	57	the	the	DT
A67375	555	58	Circle	Circle	NNP
A67375	555	59	)	)	-RRB-
A67375	555	60	we	-PRON-	PRP
A67375	555	61	put	put	VBP
A67375	555	62	the	the	DT
A67375	555	63	Ordinate	Ordinate	NNP
A67375	555	64	of	of	IN
A67375	555	65	that	that	DT
A67375	555	66	other	other	JJ
A67375	555	67	Curve	curve	NN
A67375	555	68	-	-	HYPH
A67375	555	69	Line	line	NN
A67375	555	70	:	:	:
A67375	555	71	As	as	IN
A67375	555	72	,	,	,
A67375	555	73	if	if	IN
A67375	555	74	a	a	DT
A67375	555	75	Parabola	Parabola	NNP
A67375	555	76	;	;	:
A67375	555	77	,	,	,
A67375	555	78	if	if	IN
A67375	555	79	an	an	DT
A67375	555	80	Hyperbola	Hyperbola	NNP
A67375	555	81	;	;	:
A67375	555	82	(	(	-LRB-
A67375	555	83	supposing	suppose	VBG
A67375	555	84	D	d	NN
A67375	555	85	the	the	DT
A67375	555	86	Transverse	Transverse	NNP
A67375	555	87	Diameter	Diameter	NNP
A67375	555	88	,	,	,
A67375	555	89	and	and	CC
A67375	555	90	L	L	NNP
A67375	555	91	the	the	DT
A67375	555	92	Latus	Latus	NNP
A67375	555	93	Rectum	Rectum	NNP
A67375	555	94	)	)	-RRB-
A67375	555	95	;	;	:
A67375	555	96	and	and	CC
A67375	555	97	the	the	DT
A67375	555	98	like	like	JJ
A67375	555	99	in	in	IN
A67375	555	100	other	other	JJ
A67375	555	101	Curves	curve	NNS
A67375	555	102	.	.	.
A67375	556	1	78	78	CD
A67375	556	2	.	.	.
A67375	557	1	And	and	CC
A67375	557	2	for	for	IN
A67375	557	3	this	this	DT
A67375	557	4	reason	reason	NN
A67375	557	5	,	,	,
A67375	557	6	I	-PRON-	PRP
A67375	557	7	chose	choose	VBD
A67375	557	8	to	to	TO
A67375	557	9	design	design	VB
A67375	557	10	the	the	DT
A67375	557	11	Point	Point	NNP
A67375	557	12	R	R	NNP
A67375	557	13	by	by	IN
A67375	557	14	its	-PRON-	PRP$
A67375	557	15	distance	distance	NN
A67375	557	16	from	from	IN
A67375	557	17	Δ	Δ	NNP
A67375	557	18	,	,	,
A67375	557	19	rather	rather	RB
A67375	557	20	than	than	IN
A67375	557	21	from	from	IN
A67375	557	22	C	C	NNP
A67375	557	23	,	,	,
A67375	557	24	forward	forward	RB
A67375	557	25	and	and	CC
A67375	557	26	backward	backward	RB
A67375	557	27	;	;	:
A67375	557	28	and	and	CC
A67375	557	29	ρ	ρ	LS
A67375	557	30	by	by	IN
A67375	557	31	its	-PRON-	PRP$
A67375	557	32	distance	distance	NN
A67375	557	33	from	from	IN
A67375	557	34	δ	δ	NN
A67375	557	35	,	,	,
A67375	557	36	rather	rather	RB
A67375	557	37	than	than	IN
A67375	557	38	from	from	IN
A67375	557	39	c	c	NNP
A67375	557	40	;	;	:
A67375	557	41	which	which	WDT
A67375	557	42	otherwise	otherwise	RB
A67375	557	43	might	may	MD
A67375	557	44	as	as	RB
A67375	557	45	conveniently	conveniently	RB
A67375	557	46	be	be	VB
A67375	557	47	done	do	VBN
A67375	557	48	.	.	.
A67375	558	1	79	79	CD
A67375	558	2	.	.	.
A67375	559	1	But	but	CC
A67375	559	2	if	if	IN
A67375	559	3	we	-PRON-	PRP
A67375	559	4	should	should	MD
A67375	559	5	so	so	RB
A67375	559	6	design	design	VB
A67375	559	7	it	-PRON-	PRP
A67375	559	8	,	,	,
A67375	559	9	and	and	CC
A67375	559	10	put	put	VBD
A67375	559	11	c	c	NN
A67375	559	12	=	=	SYM
A67375	559	13	RC	RC	NNP
A67375	559	14	(	(	-LRB-
A67375	559	15	and	and	CC
A67375	559	16	consequently	consequently	RB
A67375	559	17	;	;	:
A67375	559	18	and	and	CC
A67375	559	19	α	α	LS
A67375	559	20	=	=	FW
A67375	559	21	Ac	Ac	NNP
A67375	559	22	,	,	,
A67375	559	23	the	the	DT
A67375	559	24	Altitude	altitude	NN
A67375	559	25	at	at	IN
A67375	559	26	c	c	NNP
A67375	559	27	;	;	:
A67375	559	28	and	and	CC
A67375	559	29	ω	ω	LS
A67375	559	30	the	the	DT
A67375	559	31	difference	difference	NN
A67375	559	32	of	of	IN
A67375	559	33	Altitudes	altitude	NNS
A67375	559	34	at	at	IN
A67375	559	35	ρ	ρ	NN
A67375	559	36	from	from	IN
A67375	559	37	that	that	DT
A67375	559	38	at	at	IN
A67375	559	39	c	c	NNP
A67375	559	40	;	;	:
A67375	559	41	then	then	RB
A67375	559	42	is	be	VBZ
A67375	559	43	a	a	DT
A67375	559	44	ρ	ρ	NN
A67375	559	45	=	=	SYM
A67375	559	46	α	α	NNP
A67375	559	47	−	−	NNP
A67375	559	48	ω	ω	NNP
A67375	559	49	for	for	IN
A67375	559	50	the	the	DT
A67375	559	51	Points	Points	NNPS
A67375	559	52	ρ	ρ	NNP
A67375	559	53	in	in	IN
A67375	559	54	cd	cd	NN
A67375	559	55	above	above	IN
A67375	559	56	the	the	DT
A67375	559	57	Point	Point	NNP
A67375	559	58	c	c	NNP
A67375	559	59	,	,	,
A67375	559	60	but	but	CC
A67375	559	61	a	a	DT
A67375	559	62	ρ	ρ	NN
A67375	559	63	=	=	SYM
A67375	559	64	α	α	NN
A67375	559	65	+	+	NNS
A67375	559	66	ω	ω	XX
A67375	559	67	for	for	IN
A67375	559	68	those	those	DT
A67375	559	69	below	below	IN
A67375	559	70	it	-PRON-	PRP
A67375	559	71	in	in	IN
A67375	559	72	c	c	NNP
A67375	559	73	δ	δ	NN
A67375	559	74	:	:	:
A67375	559	75	And	and	CC
A67375	559	76	accordingly	accordingly	RB
A67375	559	77	.	.	.
A67375	560	1	80	80	CD
A67375	560	2	.	.	.
A67375	561	1	But	but	CC
A67375	561	2	if	if	IN
A67375	561	3	we	-PRON-	PRP
A67375	561	4	put	put	VBP
A67375	561	5	α	α	PRP
A67375	561	6	=	=	:
A67375	561	7	Bd	Bd	NNP
A67375	561	8	,	,	,
A67375	561	9	(	(	-LRB-
A67375	561	10	the	the	DT
A67375	561	11	Altitude	altitude	NN
A67375	561	12	of	of	IN
A67375	561	13	B	b	NN
A67375	561	14	above	above	IN
A67375	561	15	d	d	NN
A67375	561	16	,	,	,
A67375	561	17	the	the	DT
A67375	561	18	higher	high	JJR
A67375	561	19	Vertex	Vertex	NNP
A67375	561	20	of	of	IN
A67375	561	21	the	the	DT
A67375	561	22	Curve	Curve	NNP
A67375	561	23	,	,	,
A67375	561	24	which	which	WDT
A67375	561	25	therefore	therefore	RB
A67375	561	26	will	will	MD
A67375	561	27	be	be	VB
A67375	561	28	a	a	DT
A67375	561	29	Negative	Negative	NNP
A67375	561	30	Quantity	Quantity	NNP
A67375	561	31	when	when	WRB
A67375	561	32	B	b	NN
A67375	561	33	falls	fall	VBZ
A67375	561	34	below	below	IN
A67375	561	35	d	d	NN
A67375	561	36	)	)	-RRB-
A67375	561	37	and	and	CC
A67375	561	38	ω	ω	NNP
A67375	561	39	,	,	,
A67375	561	40	the	the	DT
A67375	561	41	difference	difference	NN
A67375	561	42	of	of	IN
A67375	561	43	Altitude	Altitude	NNP
A67375	561	44	from	from	IN
A67375	561	45	that	that	DT
A67375	561	46	at	at	IN
A67375	561	47	d	d	NN
A67375	561	48	,	,	,
A67375	561	49	the	the	DT
A67375	561	50	process	process	NN
A67375	561	51	will	will	MD
A67375	561	52	be	be	VB
A67375	561	53	the	the	DT
A67375	561	54	same	same	JJ
A67375	561	55	as	as	IN
A67375	561	56	before	before	RB
A67375	561	57	,	,	,
A67375	561	58	save	save	VB
A67375	561	59	that	that	IN
A67375	561	60	then	then	RB
A67375	561	61	,	,	,
A67375	561	62	instead	instead	RB
A67375	561	63	of	of	IN
A67375	561	64	α	α	DT
A67375	561	65	−	−	NNP
A67375	561	66	ω	ω	NNP
A67375	561	67	,	,	,
A67375	561	68	we	-PRON-	PRP
A67375	561	69	must	must	MD
A67375	561	70	put	put	VB
A67375	561	71	α	α	NNP
A67375	561	72	+	+	SYM
A67375	561	73	ω	ω	NN
A67375	561	74	=	=	SYM
A67375	561	75	α	α	NNP
A67375	561	76	ρ	ρ	NNP
A67375	561	77	(	(	-LRB-
A67375	561	78	and	and	CC
A67375	561	79	consequently	consequently	RB
A67375	561	80	And	and	CC
A67375	561	81	the	the	DT
A67375	561	82	like	like	JJ
A67375	561	83	if	if	IN
A67375	561	84	d	d	NNS
A67375	561	85	were	be	VBD
A67375	561	86	the	the	DT
A67375	561	87	Vertex	Vertex	NNP
A67375	561	88	of	of	IN
A67375	561	89	a	a	DT
A67375	561	90	Parabola	Parabola	NNP
A67375	561	91	,	,	,
A67375	561	92	or	or	CC
A67375	561	93	Hyperbola	Hyperbola	NNP
A67375	561	94	,	,	,
A67375	561	95	or	or	CC
A67375	561	96	other	other	JJ
A67375	561	97	Curve	curve	NN
A67375	561	98	,	,	,
A67375	561	99	whose	whose	WP$
A67375	561	100	Axis	Axis	NNP
A67375	561	101	d	d	NNP
A67375	561	102	δ	δ	NN
A67375	561	103	slopeth	slopeth	JJ
A67375	561	104	downward	downward	NNP
A67375	561	105	.	.	.
A67375	562	1	81	81	CD
A67375	562	2	.	.	.
A67375	563	1	If	if	IN
A67375	563	2	it	-PRON-	PRP
A67375	563	3	be	be	VB
A67375	563	4	desired	desire	VBN
A67375	563	5	rather	rather	RB
A67375	563	6	to	to	TO
A67375	563	7	find	find	VB
A67375	563	8	Instrumentally	instrumentally	RB
A67375	563	9	,	,	,
A67375	563	10	than	than	IN
A67375	563	11	by	by	IN
A67375	563	12	Calculation	Calculation	NNP
A67375	563	13	,	,	,
A67375	563	14	the	the	DT
A67375	563	15	several	several	JJ
A67375	563	16	Ordinates	Ordinates	NNPS
A67375	563	17	ρ	ρ	IN
A67375	563	18	σ	σ	NN
A67375	563	19	,	,	,
A67375	563	20	to	to	IN
A67375	563	21	any	any	DT
A67375	563	22	Diameter	Diameter	NNP
A67375	563	23	Δ	Δ	NNP
A67375	563	24	D	D	NNP
A67375	563	25	,	,	,
A67375	563	26	in	in	IN
A67375	563	27	any	any	DT
A67375	563	28	such	such	JJ
A67375	563	29	Solid	Solid	NNP
A67375	563	30	,	,	,
A67375	563	31	and	and	CC
A67375	563	32	in	in	IN
A67375	563	33	any	any	DT
A67375	563	34	Position	position	NN
A67375	563	35	assigned	assign	VBN
A67375	563	36	;	;	:
A67375	563	37	it	-PRON-	PRP
A67375	563	38	may	may	MD
A67375	563	39	be	be	VB
A67375	563	40	very	very	RB
A67375	563	41	easily	easily	RB
A67375	563	42	performed	perform	VBN
A67375	563	43	in	in	IN
A67375	563	44	this	this	DT
A67375	563	45	manner	manner	NN
A67375	563	46	.	.	.
A67375	564	1	82	82	CD
A67375	564	2	.	.	.
A67375	565	1	First	first	RB
A67375	565	2	;	;	:
A67375	565	3	Let	let	VB
A67375	565	4	any	any	DT
A67375	565	5	streight	streight	JJ
A67375	565	6	Line	Line	NNP
A67375	565	7	,	,	,
A67375	565	8	at	at	IN
A67375	565	9	pleasure	pleasure	NN
A67375	565	10	,	,	,
A67375	565	11	LM	LM	NNP
A67375	565	12	(	(	-LRB-
A67375	565	13	Fig	Fig	NNP
A67375	565	14	.	.	.
A67375	566	1	12	12	CD
A67375	566	2	.	.	.
A67375	566	3	)	)	-RRB-
A67375	567	1	be	be	VB
A67375	567	2	divided	divide	VBN
A67375	567	3	at	at	IN
A67375	567	4	the	the	DT
A67375	567	5	Points	Points	NNPS
A67375	567	6	ρ	ρ	NNP
A67375	567	7	,	,	,
A67375	567	8	into	into	IN
A67375	567	9	any	any	DT
A67375	567	10	number	number	NN
A67375	567	11	of	of	IN
A67375	567	12	unequal	unequal	JJ
A67375	567	13	parts	part	NNS
A67375	567	14	,	,	,
A67375	567	15	as	as	IN
A67375	567	16	a	a	DT
A67375	567	17	Line	line	NN
A67375	567	18	of	of	IN
A67375	567	19	Ordinates	Ordinates	NNPS
A67375	567	20	at	at	IN
A67375	567	21	equal	equal	JJ
A67375	567	22	distances	distance	NNS
A67375	567	23	in	in	IN
A67375	567	24	the	the	DT
A67375	567	25	Quadrant	Quadrant	NNP
A67375	567	26	of	of	IN
A67375	567	27	a	a	DT
A67375	567	28	Circle	Circle	NNP
A67375	567	29	;	;	:
A67375	567	30	(	(	-LRB-
A67375	567	31	in	in	IN
A67375	567	32	like	like	JJ
A67375	567	33	manner	manner	NN
A67375	567	34	,	,	,
A67375	567	35	as	as	IN
A67375	567	36	the	the	DT
A67375	567	37	Line	Line	NNP
A67375	567	38	CQ	CQ	NNP
A67375	567	39	is	be	VBZ
A67375	567	40	divided	divide	VBN
A67375	567	41	at	at	IN
A67375	567	42	the	the	DT
A67375	567	43	Points	Points	NNPS
A67375	567	44	S	S	NNP
A67375	567	45	in	in	IN
A67375	567	46	the	the	DT
A67375	567	47	first	first	JJ
A67375	567	48	Projection	Projection	NNP
A67375	567	49	,	,	,
A67375	567	50	Fig	Fig	NNP
A67375	567	51	.	.	.
A67375	568	1	16	16	CD
A67375	568	2	.	.	.
A67375	568	3	)	)	-RRB-
A67375	569	1	and	and	CC
A67375	569	2	on	on	IN
A67375	569	3	the	the	DT
A67375	569	4	other	other	JJ
A67375	569	5	side	side	NN
A67375	569	6	of	of	IN
A67375	569	7	M	M	NNP
A67375	569	8	,	,	,
A67375	569	9	let	let	VB
A67375	569	10	λ	λ	PRP
A67375	569	11	M	m	NN
A67375	569	12	be	be	VB
A67375	569	13	so	so	RB
A67375	569	14	divided	divided	JJ
A67375	569	15	also	also	RB
A67375	569	16	into	into	IN
A67375	569	17	the	the	DT
A67375	569	18	same	same	JJ
A67375	569	19	number	number	NN
A67375	569	20	of	of	IN
A67375	569	21	Parts	part	NNS
A67375	569	22	;	;	:
A67375	569	23	and	and	CC
A67375	569	24	on	on	IN
A67375	569	25	the	the	DT
A67375	569	26	several	several	JJ
A67375	569	27	Points	Points	NNPS
A67375	569	28	ρ	ρ	NNP
A67375	569	29	,	,	,
A67375	569	30	M	m	NN
A67375	569	31	,	,	,
A67375	569	32	erect	erect	NN
A67375	569	33	Perpendiculars	perpendicular	NNS
A67375	569	34	,	,	,
A67375	569	35	continued	continue	VBD
A67375	569	36	both	both	DT
A67375	569	37	ways	way	NNS
A67375	569	38	as	as	RB
A67375	569	39	far	far	RB
A67375	569	40	as	as	IN
A67375	569	41	shall	shall	MD
A67375	569	42	be	be	VB
A67375	569	43	needful	needful	JJ
A67375	569	44	.	.	.
A67375	570	1	Which	which	WDT
A67375	570	2	general	general	JJ
A67375	570	3	Construction	Construction	NNP
A67375	570	4	is	be	VBZ
A67375	570	5	applicable	applicable	JJ
A67375	570	6	to	to	IN
A67375	570	7	any	any	DT
A67375	570	8	case	case	NN
A67375	570	9	at	at	IN
A67375	570	10	pleasure	pleasure	NN
A67375	570	11	;	;	:
A67375	570	12	and	and	CC
A67375	570	13	being	be	VBG
A67375	570	14	once	once	RB
A67375	570	15	drawn	draw	VBN
A67375	570	16	,	,	,
A67375	570	17	may	may	MD
A67375	570	18	successively	successively	RB
A67375	570	19	be	be	VB
A67375	570	20	applied	apply	VBN
A67375	570	21	to	to	IN
A67375	570	22	many	many	JJ
A67375	570	23	.	.	.
A67375	571	1	83	83	CD
A67375	571	2	.	.	.
A67375	572	1	Then	then	RB
A67375	572	2	(	(	-LRB-
A67375	572	3	supposing	supposing	NN
A67375	572	4	,	,	,
A67375	572	5	in	in	IN
A67375	572	6	the	the	DT
A67375	572	7	Solid	Solid	NNP
A67375	572	8	proposed	propose	VBN
A67375	572	9	,	,	,
A67375	572	10	Fig	Fig	NNP
A67375	572	11	.	.	.
A67375	573	1	11	11	CD
A67375	573	2	.	.	.
A67375	573	3	δ	δ	NNP
A67375	573	4	E	E	NNP
A67375	573	5	,	,	,
A67375	573	6	parallel	parallel	JJ
A67375	573	7	to	to	IN
A67375	573	8	Δ	δ	NN
A67375	573	9	D	D	NNP
A67375	573	10	,	,	,
A67375	573	11	cutting	cut	VBG
A67375	573	12	AC	AC	NNP
A67375	573	13	in	in	IN
A67375	573	14	E	e	NN
A67375	573	15	;	;	:
A67375	573	16	and	and	CC
A67375	573	17	Eq	eq	RB
A67375	573	18	,	,	,
A67375	573	19	parallel	parallel	JJ
A67375	573	20	to	to	IN
A67375	573	21	CQ	CQ	NNP
A67375	573	22	,	,	,
A67375	573	23	cutting	cut	VBG
A67375	573	24	AQ	AQ	NNP
A67375	573	25	in	in	IN
A67375	573	26	q	q	NNP
A67375	573	27	;	;	:
A67375	573	28	)	)	-RRB-
A67375	573	29	set	set	VBD
A67375	573	30	off	off	RP
A67375	573	31	,	,	,
A67375	573	32	in	in	IN
A67375	573	33	the	the	DT
A67375	573	34	Perpendicular	Perpendicular	NNP
A67375	573	35	at	at	IN
A67375	573	36	M	M	NNP
A67375	573	37	,	,	,
A67375	573	38	Fig	Fig	NNP
A67375	573	39	.	.	.
A67375	574	1	12	12	CD
A67375	574	2	.	.	.
A67375	574	3	a	a	DT
A67375	574	4	Line	Line	NNP
A67375	574	5	ME	ME	NNP
A67375	574	6	equal	equal	JJ
A67375	574	7	to	to	IN
A67375	574	8	that	that	DT
A67375	574	9	Eq	Eq	NNP
A67375	574	10	in	in	IN
A67375	574	11	the	the	DT
A67375	574	12	Solid	Solid	NNP
A67375	574	13	,	,	,
A67375	574	14	and	and	CC
A67375	574	15	draw	draw	VB
A67375	574	16	the	the	DT
A67375	574	17	streight	streight	JJ
A67375	574	18	Lines	line	NNS
A67375	574	19	E	E	NNP
A67375	574	20	λ	λ	NNP
A67375	574	21	,	,	,
A67375	574	22	EL	el	NN
A67375	574	23	;	;	:
A67375	574	24	which	which	WDT
A67375	574	25	Lines	line	NNS
A67375	574	26	will	will	MD
A67375	574	27	cut	cut	VB
A67375	574	28	off	off	RP
A67375	574	29	,	,	,
A67375	574	30	in	in	IN
A67375	574	31	the	the	DT
A67375	574	32	other	other	JJ
A67375	574	33	Parallels	Parallels	NNPS
A67375	574	34	,	,	,
A67375	574	35	the	the	DT
A67375	574	36	Lines	Lines	NNPS
A67375	574	37	ρ	ρ	NNP
A67375	574	38	S	S	NNP
A67375	574	39	,	,	,
A67375	574	40	equal	equal	JJ
A67375	574	41	to	to	IN
A67375	574	42	the	the	DT
A67375	574	43	Ordinates	Ordinates	NNPS
A67375	574	44	of	of	IN
A67375	574	45	that	that	DT
A67375	574	46	Ellipse	Ellipse	NNP
A67375	574	47	in	in	IN
A67375	574	48	the	the	DT
A67375	574	49	Solid	Solid	NNP
A67375	574	50	,	,	,
A67375	574	51	(	(	-LRB-
A67375	574	52	Fig	fig	NN
A67375	574	53	.	.	.
A67375	575	1	11	11	CD
A67375	575	2	.	.	.
A67375	575	3	)	)	-RRB-
A67375	576	1	whose	whose	WP$
A67375	576	2	Axis	Axis	NNP
A67375	576	3	is	be	VBZ
A67375	576	4	δ	δ	NN
A67375	576	5	E	e	NN
A67375	576	6	;	;	,
A67375	576	7	(	(	-LRB-
A67375	576	8	●	●	NFP
A67375	576	9	uch	uch	FW
A67375	576	10	as	as	IN
A67375	576	11	are	be	VBP
A67375	576	12	R	r	NN
A67375	576	13	σ	σ	NN
A67375	576	14	in	in	IN
A67375	576	15	the	the	DT
A67375	576	16	second	second	JJ
A67375	576	17	Projection	Projection	NNP
A67375	576	18	,	,	,
A67375	576	19	Fig	Fig	NNP
A67375	576	20	.	.	.
A67375	577	1	17	17	CD
A67375	577	2	.	.	.
A67375	577	3	)	)	-RRB-
A67375	578	1	84	84	CD
A67375	578	2	.	.	.
A67375	579	1	In	in	IN
A67375	579	2	like	like	JJ
A67375	579	3	manner	manner	NN
A67375	579	4	,	,	,
A67375	579	5	(	(	-LRB-
A67375	579	6	supposing	suppose	VBG
A67375	579	7	,	,	,
A67375	579	8	in	in	IN
A67375	579	9	the	the	DT
A67375	579	10	Solid	Solid	NNP
A67375	579	11	,	,	,
A67375	579	12	Fig	Fig	NNP
A67375	579	13	.	.	.
A67375	580	1	11	11	CD
A67375	580	2	.	.	.
A67375	580	3	de	de	FW
A67375	580	4	parallel	parallel	NNP
A67375	580	5	to	to	IN
A67375	580	6	D	D	NNP
A67375	580	7	Δ	δ	NN
A67375	580	8	,	,	,
A67375	580	9	cutting	cut	VBG
A67375	580	10	CA	CA	NNP
A67375	580	11	,	,	,
A67375	580	12	or	or	CC
A67375	580	13	the	the	DT
A67375	580	14	continuation	continuation	NN
A67375	580	15	thereof	thereof	RB
A67375	580	16	,	,	,
A67375	580	17	in	in	IN
A67375	580	18	η	η	NN
A67375	580	19	;	;	:
A67375	580	20	and	and	CC
A67375	580	21	η	η	NNP
A67375	580	22	q	q	NNP
A67375	580	23	,	,	,
A67375	580	24	parallel	parallel	JJ
A67375	580	25	to	to	IN
A67375	580	26	CQ	CQ	NNP
A67375	580	27	,	,	,
A67375	580	28	cutting	cut	VBG
A67375	580	29	QA	qa	NN
A67375	580	30	,	,	,
A67375	580	31	or	or	CC
A67375	580	32	the	the	DT
A67375	580	33	continuation	continuation	NN
A67375	580	34	thereof	thereof	RB
A67375	580	35	,	,	,
A67375	580	36	in	in	IN
A67375	580	37	q	q	NNP
A67375	580	38	;	;	:
A67375	580	39	)	)	-RRB-
A67375	580	40	set	set	VBD
A67375	580	41	off	off	RP
A67375	580	42	in	in	IN
A67375	580	43	the	the	DT
A67375	580	44	Perpendicular	Perpendicular	NNP
A67375	580	45	at	at	IN
A67375	580	46	M	M	NNP
A67375	580	47	,	,	,
A67375	580	48	(	(	-LRB-
A67375	580	49	Fig	fig	NN
A67375	580	50	.	.	.
A67375	581	1	12	12	CD
A67375	581	2	,	,	,
A67375	581	3	13	13	CD
A67375	581	4	.	.	.
A67375	581	5	)	)	-RRB-
A67375	582	1	a	a	DT
A67375	582	2	Line	Line	NNP
A67375	582	3	M	M	NNP
A67375	582	4	η	η	NN
A67375	582	5	equal	equal	JJ
A67375	582	6	to	to	IN
A67375	582	7	η	η	NN
A67375	582	8	q	q	NNP
A67375	582	9	;	;	:
A67375	582	10	(	(	-LRB-
A67375	582	11	on	on	IN
A67375	582	12	the	the	DT
A67375	582	13	same	same	JJ
A67375	582	14	side	side	NN
A67375	582	15	of	of	IN
A67375	582	16	λ	λ	NNP
A67375	582	17	ML	ML	NNP
A67375	582	18	with	with	IN
A67375	582	19	ME	ME	NNP
A67375	582	20	,	,	,
A67375	582	21	or	or	CC
A67375	582	22	on	on	IN
A67375	582	23	the	the	DT
A67375	582	24	contrary	contrary	NN
A67375	582	25	,	,	,
A67375	582	26	according	accord	VBG
A67375	582	27	as	as	IN
A67375	582	28	d	d	NN
A67375	582	29	and	and	CC
A67375	582	30	δ	δ	NNP
A67375	582	31	are	be	VBP
A67375	582	32	on	on	IN
A67375	582	33	the	the	DT
A67375	582	34	same	same	JJ
A67375	582	35	,	,	,
A67375	582	36	or	or	CC
A67375	582	37	opposite	opposite	JJ
A67375	582	38	Sides	Sides	NNPS
A67375	582	39	B	B	NNP
A67375	582	40	β	β	XX
A67375	582	41	;	;	:
A67375	582	42	)	)	-RRB-
A67375	582	43	and	and	CC
A67375	582	44	draw	draw	VB
A67375	582	45	the	the	DT
A67375	582	46	streight	streight	JJ
A67375	582	47	Lines	Lines	NNP
A67375	582	48	η	η	NNP
A67375	582	49	λ	λ	NNP
A67375	582	50	,	,	,
A67375	582	51	η	η	NNP
A67375	582	52	L	L	NNP
A67375	582	53	;	;	:
A67375	582	54	which	which	WDT
A67375	582	55	Lines	line	NNS
A67375	582	56	will	will	MD
A67375	582	57	cut	cut	VB
A67375	582	58	off	off	RP
A67375	582	59	,	,	,
A67375	582	60	in	in	IN
A67375	582	61	the	the	DT
A67375	582	62	other	other	JJ
A67375	582	63	Parallels	Parallels	NNPS
A67375	582	64	,	,	,
A67375	582	65	the	the	DT
A67375	582	66	Lines	Lines	NNPS
A67375	582	67	ρ	ρ	NNP
A67375	582	68	s	s	NNP
A67375	582	69	,	,	,
A67375	582	70	equal	equal	JJ
A67375	582	71	to	to	IN
A67375	582	72	the	the	DT
A67375	582	73	Ordinates	Ordinates	NNPS
A67375	582	74	of	of	IN
A67375	582	75	that	that	DT
A67375	582	76	Ellipse	Ellipse	NNP
A67375	582	77	in	in	IN
A67375	582	78	the	the	DT
A67375	582	79	Solid	Solid	NNP
A67375	582	80	,	,	,
A67375	582	81	whose	whose	WP$
A67375	582	82	Axis	Axis	NNP
A67375	582	83	is	be	VBZ
A67375	582	84	η	η	NN
A67375	582	85	d.	d.	NNP
A67375	582	86	85	85	CD
A67375	582	87	.	.	.
A67375	583	1	Then	then	RB
A67375	583	2	(	(	-LRB-
A67375	583	3	dividing	divide	VBG
A67375	583	4	E	e	NN
A67375	583	5	η	η	NN
A67375	583	6	into	into	IN
A67375	583	7	as	as	RB
A67375	583	8	many	many	JJ
A67375	583	9	equal	equal	JJ
A67375	583	10	parts	part	NNS
A67375	583	11	at	at	IN
A67375	583	12	the	the	DT
A67375	583	13	Points	Points	NNP
A67375	583	14	ω	ω	NNP
A67375	583	15	,	,	,
A67375	583	16	as	as	IN
A67375	583	17	are	be	VBP
A67375	583	18	the	the	DT
A67375	583	19	unequal	unequal	JJ
A67375	583	20	parts	part	NNS
A67375	583	21	in	in	IN
A67375	583	22	λ	λ	NNP
A67375	583	23	L	L	NNP
A67375	583	24	)	)	-RRB-
A67375	583	25	from	from	IN
A67375	583	26	every	every	DT
A67375	583	27	of	of	IN
A67375	583	28	the	the	DT
A67375	583	29	Points	Points	NNPS
A67375	583	30	ω	ω	NNP
A67375	583	31	,	,	,
A67375	583	32	draw	draw	VB
A67375	583	33	streight	streight	JJ
A67375	583	34	Lines	line	NNS
A67375	583	35	to	to	IN
A67375	583	36	λ	λ	NNP
A67375	583	37	or	or	CC
A67375	583	38	L	l	NN
A67375	583	39	respectively	respectively	RB
A67375	583	40	;	;	:
A67375	583	41	which	which	WDT
A67375	583	42	Lines	line	NNS
A67375	583	43	will	will	MD
A67375	583	44	cut	cut	VB
A67375	583	45	off	off	RP
A67375	583	46	,	,	,
A67375	583	47	in	in	IN
A67375	583	48	the	the	DT
A67375	583	49	respective	respective	JJ
A67375	583	50	Parallels	Parallels	NNP
A67375	583	51	,	,	,
A67375	583	52	ρ	ρ	UH
A67375	583	53	S	S	NNP
A67375	583	54	,	,	,
A67375	583	55	(	(	-LRB-
A67375	583	56	the	the	DT
A67375	583	57	first	first	JJ
A67375	583	58	in	in	IN
A67375	583	59	the	the	DT
A67375	583	60	first	first	JJ
A67375	583	61	,	,	,
A67375	583	62	the	the	DT
A67375	583	63	second	second	JJ
A67375	583	64	in	in	IN
A67375	583	65	the	the	DT
A67375	583	66	second	second	NN
A67375	583	67	,	,	,
A67375	583	68	&	&	CC
A67375	583	69	c.	c.	NNP
A67375	583	70	numbering	number	VBG
A67375	583	71	the	the	DT
A67375	583	72	Points	Points	NNPS
A67375	583	73	ω	ω	NNP
A67375	583	74	from	from	IN
A67375	583	75	E	e	NN
A67375	583	76	,	,	,
A67375	583	77	and	and	CC
A67375	583	78	the	the	DT
A67375	583	79	Parallels	Parallels	NNPS
A67375	583	80	from	from	IN
A67375	583	81	λ	λ	PRP
A67375	583	82	;	;	:
A67375	583	83	)	)	-RRB-
A67375	583	84	the	the	DT
A67375	583	85	Lines	Lines	NNPS
A67375	583	86	ρ	ρ	IN
A67375	583	87	σ	σ	NN
A67375	583	88	,	,	,
A67375	583	89	equal	equal	JJ
A67375	583	90	to	to	IN
A67375	583	91	the	the	DT
A67375	583	92	desired	desire	VBN
A67375	583	93	Ordinates	Ordinates	NNPS
A67375	583	94	of	of	IN
A67375	583	95	the	the	DT
A67375	583	96	Curve	curve	NN
A67375	583	97	proposed	propose	VBD
A67375	583	98	.	.	.
A67375	584	1	86	86	CD
A67375	584	2	.	.	.
A67375	585	1	Lastly	lastly	RB
A67375	585	2	;	;	:
A67375	585	3	Drawing	draw	VBG
A67375	585	4	a	a	DT
A67375	585	5	streight	streight	JJ
A67375	585	6	Line	line	NN
A67375	585	7	δ	δ	NN
A67375	585	8	d	d	NN
A67375	585	9	(	(	-LRB-
A67375	585	10	Fig	fig	NN
A67375	585	11	.	.	.
A67375	586	1	14	14	CD
A67375	586	2	,	,	,
A67375	586	3	15	15	CD
A67375	586	4	.	.	.
A67375	586	5	)	)	-RRB-
A67375	587	1	equal	equal	JJ
A67375	587	2	to	to	IN
A67375	587	3	that	that	DT
A67375	587	4	in	in	IN
A67375	587	5	the	the	DT
A67375	587	6	Solid	Solid	NNP
A67375	587	7	(	(	-LRB-
A67375	587	8	the	the	DT
A67375	587	9	Diameter	Diameter	NNP
A67375	587	10	of	of	IN
A67375	587	11	the	the	DT
A67375	587	12	Curve	curve	NN
A67375	587	13	proposed	propose	VBN
A67375	587	14	)	)	-RRB-
A67375	587	15	;	;	:
A67375	587	16	and	and	CC
A67375	587	17	dividing	divide	VBG
A67375	587	18	it	-PRON-	PRP
A67375	587	19	in	in	IN
A67375	587	20	the	the	DT
A67375	587	21	Points	Points	NNPS
A67375	587	22	ρ	ρ	VBP
A67375	587	23	into	into	IN
A67375	587	24	as	as	RB
A67375	587	25	many	many	JJ
A67375	587	26	equal	equal	JJ
A67375	587	27	parts	part	NNS
A67375	587	28	,	,	,
A67375	587	29	as	as	IN
A67375	587	30	are	be	VBP
A67375	587	31	the	the	DT
A67375	587	32	unequal	unequal	JJ
A67375	587	33	parts	part	NNS
A67375	587	34	in	in	IN
A67375	587	35	λ	λ	NNP
A67375	587	36	L	l	NN
A67375	587	37	;	;	:
A67375	587	38	and	and	CC
A67375	587	39	to	to	IN
A67375	587	40	each	each	DT
A67375	587	41	Point	Point	NNP
A67375	587	42	of	of	IN
A67375	587	43	Division	Division	NNP
A67375	587	44	,	,	,
A67375	587	45	applying	apply	VBG
A67375	587	46	at	at	IN
A67375	587	47	Right	Right	NNP
A67375	587	48	Angles	Angles	NNP
A67375	587	49	the	the	DT
A67375	587	50	Lines	line	NNS
A67375	587	51	ρ	ρ	IN
A67375	587	52	σ	σ	NN
A67375	587	53	,	,	,
A67375	587	54	equal	equal	JJ
A67375	587	55	to	to	IN
A67375	587	56	those	those	DT
A67375	587	57	upon	upon	IN
A67375	587	58	the	the	DT
A67375	587	59	Line	Line	NNP
A67375	587	60	λ	λ	NNP
A67375	587	61	L	l	NN
A67375	587	62	(	(	-LRB-
A67375	587	63	on	on	IN
A67375	587	64	the	the	DT
A67375	587	65	same	same	JJ
A67375	587	66	or	or	CC
A67375	587	67	contrary	contrary	JJ
A67375	587	68	sides	side	NNS
A67375	587	69	of	of	IN
A67375	587	70	δ	δ	NN
A67375	587	71	d	d	XX
A67375	587	72	,	,	,
A67375	587	73	as	as	IN
A67375	587	74	those	those	DT
A67375	587	75	are	be	VBP
A67375	587	76	of	of	IN
A67375	587	77	λ	λ	NNP
A67375	587	78	L	l	NN
A67375	587	79	)	)	-RRB-
A67375	587	80	;	;	:
A67375	587	81	and	and	CC
A67375	587	82	,	,	,
A67375	587	83	by	by	IN
A67375	587	84	the	the	DT
A67375	587	85	Points	Points	NNPS
A67375	587	86	σ	σ	NNP
A67375	587	87	,	,	,
A67375	587	88	drawing	draw	VBG
A67375	587	89	the	the	DT
A67375	587	90	Curve	Curve	NNP
A67375	587	91	-	-	HYPH
A67375	587	92	Line	line	NN
A67375	587	93	which	which	WDT
A67375	587	94	they	-PRON-	PRP
A67375	587	95	direct	direct	VBP
A67375	587	96	:	:	:
A67375	587	97	This	this	DT
A67375	587	98	Curve	Curve	NNP
A67375	587	99	-	-	HYPH
A67375	587	100	Line	Line	NNP
A67375	587	101	is	be	VBZ
A67375	587	102	the	the	DT
A67375	587	103	same	same	JJ
A67375	587	104	with	with	IN
A67375	587	105	that	that	DT
A67375	587	106	which	which	WDT
A67375	587	107	is	be	VBZ
A67375	587	108	made	make	VBN
A67375	587	109	by	by	IN
A67375	587	110	the	the	DT
A67375	587	111	Section	Section	NNP
A67375	587	112	of	of	IN
A67375	587	113	the	the	DT
A67375	587	114	Solid	Solid	NNP
A67375	587	115	proposed	propose	VBN
A67375	587	116	,	,	,
A67375	587	117	by	by	IN
A67375	587	118	a	a	DT
A67375	587	119	Plain	Plain	NNP
A67375	587	120	on	on	IN
A67375	587	121	the	the	DT
A67375	587	122	Line	line	NN
A67375	587	123	δ	δ	NN
A67375	587	124	d	d	NN
A67375	587	125	at	at	IN
A67375	587	126	Right	Right	NNP
A67375	587	127	-	-	HYPH
A67375	587	128	Angles	Angles	NNPS
A67375	587	129	to	to	IN
A67375	587	130	the	the	DT
A67375	587	131	Rectangle	Rectangle	NNP
A67375	587	132	Δ	Δ	NNP
A67375	587	133	DB	DB	NNP
A67375	587	134	β	β	NNP
A67375	587	135	.	.	.
A67375	588	1	87	87	CD
A67375	588	2	.	.	.
A67375	589	1	The	the	DT
A67375	589	2	same	same	JJ
A67375	589	3	may	may	MD
A67375	589	4	be	be	VB
A67375	589	5	performed	perform	VBN
A67375	589	6	by	by	IN
A67375	589	7	one	one	CD
A67375	589	8	of	of	IN
A67375	589	9	the	the	DT
A67375	589	10	Triangles	Triangles	NNPS
A67375	589	11	λ	λ	NNP
A67375	589	12	ME	ME	NNP
A67375	589	13	,	,	,
A67375	589	14	Fig	Fig	NNP
A67375	589	15	.	.	.
A67375	590	1	13	13	CD
A67375	590	2	.	.	.
A67375	590	3	reckoning	reckon	VBG
A67375	590	4	the	the	DT
A67375	590	5	Parallels	Parallels	NNPS
A67375	590	6	therein	therein	RB
A67375	590	7	twice	twice	RB
A67375	590	8	over	over	RB
A67375	590	9	,	,	,
A67375	590	10	(	(	-LRB-
A67375	590	11	the	the	DT
A67375	590	12	Ordinates	Ordinates	NNPS
A67375	590	13	in	in	IN
A67375	590	14	each	each	DT
A67375	590	15	Quadrant	Quadrant	NNP
A67375	590	16	being	be	VBG
A67375	590	17	the	the	DT
A67375	590	18	same	same	JJ
A67375	590	19	)	)	-RRB-
A67375	590	20	and	and	CC
A67375	590	21	dividing	divide	VBG
A67375	590	22	E	e	NN
A67375	590	23	η	η	NN
A67375	590	24	into	into	IN
A67375	590	25	as	as	RB
A67375	590	26	many	many	JJ
A67375	590	27	parts	part	NNS
A67375	590	28	as	as	IN
A67375	590	29	before	before	RB
A67375	590	30	.	.	.
A67375	591	1	88	88	CD
A67375	591	2	.	.	.
A67375	592	1	If	if	IN
A67375	592	2	the	the	DT
A67375	592	3	Base	Base	NNP
A67375	592	4	Δ	Δ	NNP
A67375	592	5	SD	SD	NNP
A67375	592	6	be	be	VB
A67375	592	7	an	an	DT
A67375	592	8	Ellipse	Ellipse	NNP
A67375	592	9	,	,	,
A67375	592	10	this	this	DT
A67375	592	11	process	process	NN
A67375	592	12	will	will	MD
A67375	592	13	be	be	VB
A67375	592	14	the	the	DT
A67375	592	15	same	same	JJ
A67375	592	16	as	as	IN
A67375	592	17	in	in	IN
A67375	592	18	a	a	DT
A67375	592	19	Circle	Circle	NNP
A67375	592	20	;	;	:
A67375	592	21	but	but	CC
A67375	592	22	if	if	IN
A67375	592	23	it	-PRON-	PRP
A67375	592	24	be	be	VB
A67375	592	25	a	a	DT
A67375	592	26	Parabola	Parabola	NNP
A67375	592	27	,	,	,
A67375	592	28	Hyperbola	Hyperbola	NNP
A67375	592	29	,	,	,
A67375	592	30	or	or	CC
A67375	592	31	other	other	JJ
A67375	592	32	the	the	DT
A67375	592	33	like	like	JJ
A67375	592	34	Curve	Curve	NNP
A67375	592	35	,	,	,
A67375	592	36	the	the	DT
A67375	592	37	Line	Line	NNP
A67375	592	38	λ	λ	NNP
A67375	592	39	L	L	NNP
A67375	592	40	,	,	,
A67375	592	41	which	which	WDT
A67375	592	42	is	be	VBZ
A67375	592	43	now	now	RB
A67375	592	44	divided	divide	VBN
A67375	592	45	as	as	IN
A67375	592	46	a	a	DT
A67375	592	47	Line	line	NN
A67375	592	48	of	of	IN
A67375	592	49	Ordinates	Ordinates	NNPS
A67375	592	50	at	at	IN
A67375	592	51	equal	equal	JJ
A67375	592	52	distances	distance	NNS
A67375	592	53	in	in	IN
A67375	592	54	a	a	DT
A67375	592	55	Circle	Circle	NNP
A67375	592	56	,	,	,
A67375	592	57	must	must	MD
A67375	592	58	then	then	RB
A67375	592	59	be	be	VB
A67375	592	60	divided	divide	VBN
A67375	592	61	as	as	IN
A67375	592	62	such	such	JJ
A67375	592	63	a	a	DT
A67375	592	64	Line	Line	NNP
A67375	592	65	of	of	IN
A67375	592	66	Ordinates	Ordinates	NNPS
A67375	592	67	of	of	IN
A67375	592	68	that	that	DT
A67375	592	69	Parabola	Parabola	NNP
A67375	592	70	,	,	,
A67375	592	71	Hyperbola	Hyperbola	NNP
A67375	592	72	,	,	,
A67375	592	73	or	or	CC
A67375	592	74	other	other	JJ
A67375	592	75	Curve	curve	NN
A67375	592	76	,	,	,
A67375	592	77	whose	whose	WP$
A67375	592	78	Axis	Axis	NNP
A67375	592	79	is	be	VBZ
A67375	592	80	Δ	δ	NN
A67375	592	81	D	d	NN
A67375	592	82	:	:	:
A67375	592	83	And	and	CC
A67375	592	84	then	then	RB
A67375	592	85	the	the	DT
A67375	592	86	rest	rest	NN
A67375	592	87	of	of	IN
A67375	592	88	the	the	DT
A67375	592	89	Operation	Operation	NNP
A67375	592	90	pursued	pursue	VBN
A67375	592	91	with	with	IN
A67375	592	92	very	very	RB
A67375	592	93	little	little	JJ
A67375	592	94	alteration	alteration	NN
A67375	592	95	.	.	.
A67375	593	1	89	89	CD
A67375	593	2	.	.	.
A67375	594	1	In	in	IN
A67375	594	2	the	the	DT
A67375	594	3	whole	whole	JJ
A67375	594	4	Progress	progress	NN
A67375	594	5	,	,	,
A67375	594	6	I	-PRON-	PRP
A67375	594	7	have	have	VBP
A67375	594	8	still	still	RB
A67375	594	9	supposed	suppose	VBN
A67375	594	10	the	the	DT
A67375	594	11	Parallelogram	Parallelogram	NNP
A67375	594	12	ABDC	abdc	NN
A67375	594	13	to	to	TO
A67375	594	14	be	be	VB
A67375	594	15	Rectangular	Rectangular	NNP
A67375	594	16	,	,	,
A67375	594	17	and	and	CC
A67375	594	18	the	the	DT
A67375	594	19	Quadrant	quadrant	JJ
A67375	594	20	CDQ	CDQ	NNP
A67375	594	21	at	at	IN
A67375	594	22	Right	right	NN
A67375	594	23	-	-	HYPH
A67375	594	24	Angles	Angles	NNP
A67375	594	25	with	with	IN
A67375	594	26	that	that	DT
A67375	594	27	Plain	Plain	NNP
A67375	594	28	,	,	,
A67375	594	29	and	and	CC
A67375	594	30	the	the	DT
A67375	594	31	Triangles	Triangles	NNPS
A67375	594	32	ACQ	ACQ	NNP
A67375	594	33	,	,	,
A67375	594	34	a	a	DT
A67375	594	35	RS	rs	NN
A67375	594	36	,	,	,
A67375	594	37	at	at	IN
A67375	594	38	Right	Right	NNP
A67375	594	39	-	-	HYPH
A67375	594	40	Angles	Angles	NNPS
A67375	594	41	to	to	IN
A67375	594	42	both	both	DT
A67375	594	43	of	of	IN
A67375	594	44	them	-PRON-	PRP
A67375	594	45	(	(	-LRB-
A67375	594	46	and	and	CC
A67375	594	47	consequently	consequently	RB
A67375	594	48	,	,	,
A67375	594	49	the	the	DT
A67375	594	50	Body	body	NN
A67375	594	51	to	to	TO
A67375	594	52	be	be	VB
A67375	594	53	Erect	erect	NN
A67375	594	54	,	,	,
A67375	594	55	not	not	RB
A67375	594	56	Scalene	Scalene	NNP
A67375	594	57	)	)	-RRB-
A67375	594	58	;	;	:
A67375	594	59	and	and	CC
A67375	594	60	the	the	DT
A67375	594	61	Plain	Plain	NNP
A67375	594	62	cutting	cut	VBG
A67375	594	63	this	this	DT
A67375	594	64	Body	body	NN
A67375	594	65	,	,	,
A67375	594	66	to	to	TO
A67375	594	67	be	be	VB
A67375	594	68	also	also	RB
A67375	594	69	at	at	IN
A67375	594	70	Right	Right	NNP
A67375	594	71	-	-	HYPH
A67375	594	72	Angles	Angles	NNP
A67375	594	73	with	with	IN
A67375	594	74	that	that	DT
A67375	594	75	Parallelogram	Parallelogram	NNP
A67375	594	76	.	.	.
A67375	595	1	But	but	CC
A67375	595	2	in	in	IN
A67375	595	3	case	case	NN
A67375	595	4	any	any	DT
A67375	595	5	of	of	IN
A67375	595	6	what	what	WP
A67375	595	7	we	-PRON-	PRP
A67375	595	8	suppose	suppose	VBP
A67375	595	9	to	to	TO
A67375	595	10	be	be	VB
A67375	595	11	Rectangular	Rectangular	NNP
A67375	595	12	,	,	,
A67375	595	13	should	should	MD
A67375	595	14	be	be	VB
A67375	595	15	Oblique	Oblique	NNP
A67375	595	16	,	,	,
A67375	595	17	the	the	DT
A67375	595	18	Sections	section	NNS
A67375	595	19	will	will	MD
A67375	595	20	be	be	VB
A67375	595	21	somewhat	somewhat	RB
A67375	595	22	different	different	JJ
A67375	595	23	from	from	IN
A67375	595	24	these	these	DT
A67375	595	25	described	describe	VBN
A67375	595	26	,	,	,
A67375	595	27	in	in	IN
A67375	595	28	like	like	JJ
A67375	595	29	manner	manner	NN
A67375	595	30	,	,	,
A67375	595	31	as	as	IN
A67375	595	32	the	the	DT
A67375	595	33	Sections	Sections	NNPS
A67375	595	34	of	of	IN
A67375	595	35	Scalene	Scalene	NNP
A67375	595	36	Cones	Cones	NNPS
A67375	595	37	,	,	,
A67375	595	38	or	or	CC
A67375	595	39	the	the	DT
A67375	595	40	Oblique	Oblique	NNP
A67375	595	41	Sections	Sections	NNPS
A67375	595	42	of	of	IN
A67375	595	43	Erect	Erect	NNP
A67375	595	44	Cones	Cones	NNPS
A67375	595	45	,	,	,
A67375	595	46	differ	differ	VBP
A67375	595	47	from	from	IN
A67375	595	48	the	the	DT
A67375	595	49	Right	Right	NNP
A67375	595	50	Sections	Sections	NNPS
A67375	595	51	of	of	IN
A67375	595	52	Right	Right	NNP
A67375	595	53	Cones	Cones	NNPS
A67375	595	54	.	.	.
A67375	596	1	But	but	CC
A67375	596	2	of	of	IN
A67375	596	3	these	these	DT
A67375	596	4	cases	case	NNS
A67375	596	5	,	,	,
A67375	596	6	I	-PRON-	PRP
A67375	596	7	intend	intend	VBP
A67375	596	8	not	not	RB
A67375	596	9	here	here	RB
A67375	596	10	to	to	TO
A67375	596	11	discourse	discourse	VB
A67375	596	12	farther	farther	RB
A67375	596	13	,	,	,
A67375	596	14	contenting	content	VBG
A67375	596	15	my	-PRON-	PRP$
A67375	596	16	self	self	NN
A67375	596	17	with	with	IN
A67375	596	18	the	the	DT
A67375	596	19	Perpendicular	Perpendicular	NNP
A67375	596	20	Sections	Sections	NNPS
A67375	596	21	of	of	IN
A67375	596	22	these	these	DT
A67375	596	23	Erect	Erect	NNP
A67375	596	24	Solids	solid	NNS
A67375	596	25	.	.	.
A67375	597	1	FINIS	FINIS	NNP
A67375	597	2	.	.	.
A67375	598	1	Fig	fig	NN
A67375	598	2	.	.	.
A67375	599	1	X.	X.	NNP
A67375	600	1	Fig	fig	NN
A67375	600	2	.	.	.
A67375	601	1	XI	XI	NNP
A67375	601	2	.	.	.
A67375	602	1	Fig	fig	NN
A67375	602	2	.	.	.
A67375	603	1	XII	XII	NNP
A67375	603	2	.	.	.
A67375	604	1	Fig	fig	NN
A67375	604	2	.	.	.
A67375	605	1	XIII	XIII	NNP
A67375	605	2	.	.	.
A67375	606	1	Fig	fig	NN
A67375	606	2	.	.	.
A67375	607	1	XIV	XIV	NNP
A67375	607	2	.	.	.
A67375	608	1	Fig	fig	NN
A67375	608	2	.	.	.
A67375	609	1	XV	XV	NNP
A67375	609	2	.	.	.
A67375	610	1	Fig	fig	NN
A67375	610	2	.	.	.
A67375	611	1	XVI	XVI	NNP
A67375	611	2	.	.	.
A67375	612	1	Project	project	NN
A67375	612	2	.	.	.
A67375	613	1	1	1	LS
A67375	613	2	.	.	.
A67375	613	3	a	a	DT
A67375	613	4	Fig	Fig	NNP
A67375	613	5	.	.	.
A67375	614	1	XVII	XVII	NNP
A67375	614	2	.	.	.
A67375	615	1	Project	project	NN
A67375	615	2	.	.	.
A67375	616	1	2	2	LS
A67375	616	2	.	.	.
A67375	617	1	Fig	fig	NN
A67375	617	2	.	.	.
A67375	618	1	XVIII	xviii	NN
A67375	618	2	.	.	.
A67375	619	1	Project	project	NN
A67375	619	2	.	.	.
A67375	620	1	3	3	LS
A67375	620	2	.	.	.
A67375	621	1	Fig	fig	NN
A67375	621	2	.	.	.
A67375	622	1	XIX	XIX	NNP
A67375	622	2	.	.	.
A67375	623	1	Project	project	NN
A67375	623	2	.	.	.
A67375	624	1	4	4	LS
A67375	624	2	.	.	.
A67375	624	3	a	a	DT
A67375	624	4	Fig	Fig	NNP
A67375	624	5	.	.	.
A67375	625	1	XX	XX	NNP
A67375	625	2	.	.	.
A67375	626	1	Project	project	NN
A67375	626	2	.	.	.
A67375	627	1	5	5	LS
A67375	627	2	.	.	.
A67375	627	3	a	a	DT
A67375	627	4	Fig	Fig	NNP
A67375	627	5	.	.	.
A67375	628	1	XXI	XXI	NNP
A67375	628	2	.	.	.
A67375	629	1	Project	project	NN
A67375	629	2	.	.	.
A67375	630	1	6	6	CD
A67375	630	2	.	.	.
A67375	631	1	Fig	fig	NN
A67375	631	2	.	.	.
A67375	632	1	XXII	XXII	NNP
A67375	632	2	.	.	.
A67375	633	1	Project	project	NN
A67375	633	2	.	.	.
A67375	634	1	7	7	LS
A67375	634	2	.	.	.
A67375	634	3	a	a	DT
A67375	634	4	Notes	Notes	NNPS
A67375	634	5	,	,	,
A67375	634	6	typically	typically	RB
A67375	634	7	marginal	marginal	JJ
A67375	634	8	,	,	,
A67375	634	9	from	from	IN
A67375	634	10	the	the	DT
A67375	634	11	original	original	JJ
A67375	634	12	text	text	NN
A67375	634	13	Notes	Notes	NNP
A67375	634	14	for	for	IN
A67375	634	15	div	div	NNP
A67375	634	16	A67375-e500	A67375-e500	NNP
A67375	634	17	Fig	Fig	NNP
A67375	634	18	.	.	.
A67375	635	1	1	1	LS
A67375	635	2	.	.	.
A67375	636	1	Fig	fig	NN
A67375	636	2	.	.	.
A67375	637	1	16	16	CD
A67375	637	2	.	.	.
A67375	638	1	Fig	fig	NN
A67375	638	2	.	.	.
A67375	639	1	1	1	LS
A67375	639	2	.	.	.
A67375	640	1	Fig	fig	NN
A67375	640	2	.	.	.
A67375	641	1	17	17	CD
A67375	641	2	.	.	.
A67375	642	1	Fig	fig	NN
A67375	642	2	.	.	.
A67375	643	1	2	2	LS
A67375	643	2	.	.	.
A67375	644	1	Fig	fig	NN
A67375	644	2	.	.	.
A67375	645	1	18	18	CD
A67375	645	2	.	.	.
A67375	646	1	Fig	fig	NN
A67375	646	2	.	.	.
A67375	647	1	3	3	CD
A67375	647	2	,	,	,
A67375	647	3	4	4	CD
A67375	647	4	.	.	.
A67375	648	1	Fig	fig	NN
A67375	648	2	.	.	.
A67375	649	1	4	4	LS
A67375	649	2	.	.	.
A67375	650	1	Fig	fig	NN
A67375	650	2	.	.	.
A67375	651	1	19	19	CD
A67375	651	2	.	.	.
A67375	652	1	Fig	fig	NN
A67375	652	2	.	.	.
A67375	653	1	5	5	CD
A67375	653	2	,	,	,
A67375	653	3	6	6	CD
A67375	653	4	.	.	.
A67375	654	1	Fig	fig	NN
A67375	654	2	.	.	.
A67375	655	1	6	6	CD
A67375	655	2	.	.	.
A67375	656	1	Fig	fig	NN
A67375	656	2	.	.	.
A67375	657	1	20	20	CD
A67375	657	2	.	.	.
A67375	658	1	Fig	fig	NN
A67375	658	2	.	.	.
A67375	659	1	7	7	LS
A67375	659	2	.	.	.
A67375	660	1	Fig	fig	NN
A67375	660	2	.	.	.
A67375	661	1	7	7	LS
A67375	661	2	.	.	.
A67375	662	1	Fig	fig	NN
A67375	662	2	.	.	.
A67375	663	1	21	21	CD
A67375	663	2	.	.	.
A67375	664	1	Fig	fig	NN
A67375	664	2	.	.	.
A67375	665	1	8	8	LS
A67375	665	2	.	.	.
A67375	666	1	Fig	fig	NN
A67375	666	2	.	.	.
A67375	667	1	9	9	CD
A67375	667	2	.	.	.
A67375	668	1	Fig	fig	NN
A67375	668	2	.	.	.
A67375	669	1	22	22	CD
A67375	669	2	.	.	.