id	sid	tid	token	lemma	pos
14725	1	1	Note	note	NN
14725	1	2	:	:	:
14725	1	3	Project	Project	NNP
14725	1	4	Gutenberg	Gutenberg	NNP
14725	1	5	also	also	RB
14725	1	6	has	have	VBZ
14725	1	7	an	an	DT
14725	1	8	HTML	html	NN
14725	1	9	version	version	NN
14725	1	10	of	of	IN
14725	1	11	this	this	DT
14725	1	12	file	file	NN
14725	1	13	which	which	WDT
14725	1	14	includes	include	VBZ
14725	1	15	the	the	DT
14725	1	16	original	original	JJ
14725	1	17	illustrations	illustration	NNS
14725	1	18	.	.	.
14725	2	1	See	see	VB
14725	2	2	14725-h.htm	14725-h.htm	CD
14725	2	3	or	or	CC
14725	2	4	14725-h.zip	14725-h.zip	CD
14725	2	5	:	:	:
14725	2	6	(	(	-LRB-
14725	2	7	http://www.gutenberg.net/dirs/1/4/7/2/14725/14725-h/14725-h.htm	http://www.gutenberg.net/dirs/1/4/7/2/14725/14725-h/14725-h.htm	LS
14725	2	8	)	)	-RRB-
14725	2	9	or	or	CC
14725	2	10	(	(	-LRB-
14725	2	11	http://www.gutenberg.net/dirs/1/4/7/2/14725/14725-h.zip	http://www.gutenberg.net/dirs/1/4/7/2/14725/14725-h.zip	NN
14725	2	12	)	)	-RRB-
14725	2	13	TREATISE	treatise	NN
14725	2	14	ON	on	IN
14725	2	15	LIGHT	light	NN
14725	2	16	In	in	IN
14725	2	17	which	which	WDT
14725	2	18	are	be	VBP
14725	2	19	explained	explain	VBN
14725	2	20	The	the	DT
14725	2	21	causes	cause	NNS
14725	2	22	of	of	IN
14725	2	23	that	that	DT
14725	2	24	which	which	WDT
14725	2	25	occurs	occur	VBZ
14725	2	26	In	in	IN
14725	2	27	REFLEXION	reflexion	NN
14725	2	28	,	,	,
14725	2	29	&	&	CC
14725	2	30	in	in	IN
14725	2	31	REFRACTION	REFRACTION	NNP
14725	2	32	And	and	CC
14725	2	33	particularly	particularly	RB
14725	2	34	In	in	IN
14725	2	35	the	the	DT
14725	2	36	strange	strange	JJ
14725	2	37	REFRACTION	refraction	NN
14725	2	38	OF	of	IN
14725	2	39	ICELAND	ICELAND	NNP
14725	2	40	CRYSTAL	CRYSTAL	NNP
14725	2	41	by	by	IN
14725	2	42	CHRISTIAAN	CHRISTIAAN	NNP
14725	2	43	HUYGENS	HUYGENS	NNP
14725	2	44	Rendered	render	VBN
14725	2	45	into	into	IN
14725	2	46	English	English	NNP
14725	2	47	by	by	IN
14725	2	48	SILVANUS	SILVANUS	NNP
14725	2	49	P.	P.	NNP
14725	2	50	THOMPSON	THOMPSON	NNP
14725	2	51	University	University	NNP
14725	2	52	of	of	IN
14725	2	53	Chicago	Chicago	NNP
14725	2	54	Press	Press	NNP
14725	2	55	PREFACE	PREFACE	NNP
14725	2	56	I	-PRON-	PRP
14725	2	57	wrote	write	VBD
14725	2	58	this	this	DT
14725	2	59	Treatise	Treatise	NNP
14725	2	60	during	during	IN
14725	2	61	my	-PRON-	PRP$
14725	2	62	sojourn	sojourn	NN
14725	2	63	in	in	IN
14725	2	64	France	France	NNP
14725	2	65	twelve	twelve	CD
14725	2	66	years	year	NNS
14725	2	67	ago	ago	RB
14725	2	68	,	,	,
14725	2	69	and	and	CC
14725	2	70	I	-PRON-	PRP
14725	2	71	communicated	communicate	VBD
14725	2	72	it	-PRON-	PRP
14725	2	73	in	in	IN
14725	2	74	the	the	DT
14725	2	75	year	year	NN
14725	2	76	1678	1678	CD
14725	2	77	to	to	IN
14725	2	78	the	the	DT
14725	2	79	learned	learn	VBN
14725	2	80	persons	person	NNS
14725	2	81	who	who	WP
14725	2	82	then	then	RB
14725	2	83	composed	compose	VBD
14725	2	84	the	the	DT
14725	2	85	Royal	Royal	NNP
14725	2	86	Academy	Academy	NNP
14725	2	87	of	of	IN
14725	2	88	Science	Science	NNP
14725	2	89	,	,	,
14725	2	90	to	to	IN
14725	2	91	the	the	DT
14725	2	92	membership	membership	NN
14725	2	93	of	of	IN
14725	2	94	which	which	WDT
14725	2	95	the	the	DT
14725	2	96	King	King	NNP
14725	2	97	had	have	VBD
14725	2	98	done	do	VBN
14725	2	99	me	-PRON-	PRP
14725	2	100	the	the	DT
14725	2	101	honour	honour	NN
14725	2	102	of	of	IN
14725	2	103	calling	calling	NN
14725	2	104	,	,	,
14725	2	105	me	-PRON-	PRP
14725	2	106	.	.	.
14725	3	1	Several	several	JJ
14725	3	2	of	of	IN
14725	3	3	that	that	DT
14725	3	4	body	body	NN
14725	3	5	who	who	WP
14725	3	6	are	be	VBP
14725	3	7	still	still	RB
14725	3	8	alive	alive	JJ
14725	3	9	will	will	MD
14725	3	10	remember	remember	VB
14725	3	11	having	have	VBG
14725	3	12	been	be	VBN
14725	3	13	present	present	JJ
14725	3	14	when	when	WRB
14725	3	15	I	-PRON-	PRP
14725	3	16	read	read	VBD
14725	3	17	it	-PRON-	PRP
14725	3	18	,	,	,
14725	3	19	and	and	CC
14725	3	20	above	above	IN
14725	3	21	the	the	DT
14725	3	22	rest	rest	NN
14725	3	23	those	those	DT
14725	3	24	amongst	amongst	IN
14725	3	25	them	-PRON-	PRP
14725	3	26	who	who	WP
14725	3	27	applied	apply	VBD
14725	3	28	themselves	-PRON-	PRP
14725	3	29	particularly	particularly	RB
14725	3	30	to	to	IN
14725	3	31	the	the	DT
14725	3	32	study	study	NN
14725	3	33	of	of	IN
14725	3	34	Mathematics	Mathematics	NNP
14725	3	35	;	;	:
14725	3	36	of	of	IN
14725	3	37	whom	whom	WP
14725	3	38	I	-PRON-	PRP
14725	3	39	can	can	MD
14725	3	40	not	not	RB
14725	3	41	cite	cite	VB
14725	3	42	more	more	JJR
14725	3	43	than	than	IN
14725	3	44	the	the	DT
14725	3	45	celebrated	celebrated	JJ
14725	3	46	gentlemen	gentleman	NNS
14725	3	47	Cassini	Cassini	NNP
14725	3	48	,	,	,
14725	3	49	Römer	Römer	NNP
14725	3	50	,	,	,
14725	3	51	and	and	CC
14725	3	52	De	De	NNP
14725	3	53	la	la	NNP
14725	3	54	Hire	Hire	NNP
14725	3	55	.	.	.
14725	4	1	And	and	CC
14725	4	2	,	,	,
14725	4	3	although	although	IN
14725	4	4	I	-PRON-	PRP
14725	4	5	have	have	VBP
14725	4	6	since	since	IN
14725	4	7	corrected	correct	VBN
14725	4	8	and	and	CC
14725	4	9	changed	change	VBD
14725	4	10	some	some	DT
14725	4	11	parts	part	NNS
14725	4	12	,	,	,
14725	4	13	the	the	DT
14725	4	14	copies	copy	NNS
14725	4	15	which	which	WDT
14725	4	16	I	-PRON-	PRP
14725	4	17	had	have	VBD
14725	4	18	made	make	VBN
14725	4	19	of	of	IN
14725	4	20	it	-PRON-	PRP
14725	4	21	at	at	IN
14725	4	22	that	that	DT
14725	4	23	time	time	NN
14725	4	24	may	may	MD
14725	4	25	serve	serve	VB
14725	4	26	for	for	IN
14725	4	27	proof	proof	NN
14725	4	28	that	that	IN
14725	4	29	I	-PRON-	PRP
14725	4	30	have	have	VBP
14725	4	31	yet	yet	RB
14725	4	32	added	add	VBN
14725	4	33	nothing	nothing	NN
14725	4	34	to	to	IN
14725	4	35	it	-PRON-	PRP
14725	4	36	save	save	VB
14725	4	37	some	some	DT
14725	4	38	conjectures	conjecture	NNS
14725	4	39	touching	touch	VBG
14725	4	40	the	the	DT
14725	4	41	formation	formation	NN
14725	4	42	of	of	IN
14725	4	43	Iceland	Iceland	NNP
14725	4	44	Crystal	Crystal	NNP
14725	4	45	,	,	,
14725	4	46	and	and	CC
14725	4	47	a	a	DT
14725	4	48	novel	novel	JJ
14725	4	49	observation	observation	NN
14725	4	50	on	on	IN
14725	4	51	the	the	DT
14725	4	52	refraction	refraction	NN
14725	4	53	of	of	IN
14725	4	54	Rock	Rock	NNP
14725	4	55	Crystal	Crystal	NNP
14725	4	56	.	.	.
14725	5	1	I	-PRON-	PRP
14725	5	2	have	have	VBP
14725	5	3	desired	desire	VBN
14725	5	4	to	to	TO
14725	5	5	relate	relate	VB
14725	5	6	these	these	DT
14725	5	7	particulars	particular	NNS
14725	5	8	to	to	TO
14725	5	9	make	make	VB
14725	5	10	known	known	JJ
14725	5	11	how	how	WRB
14725	5	12	long	long	RB
14725	5	13	I	-PRON-	PRP
14725	5	14	have	have	VBP
14725	5	15	meditated	meditate	VBN
14725	5	16	the	the	DT
14725	5	17	things	thing	NNS
14725	5	18	which	which	WDT
14725	5	19	now	now	RB
14725	5	20	I	-PRON-	PRP
14725	5	21	publish	publish	VBP
14725	5	22	,	,	,
14725	5	23	and	and	CC
14725	5	24	not	not	RB
14725	5	25	for	for	IN
14725	5	26	the	the	DT
14725	5	27	purpose	purpose	NN
14725	5	28	of	of	IN
14725	5	29	detracting	detract	VBG
14725	5	30	from	from	IN
14725	5	31	the	the	DT
14725	5	32	merit	merit	NN
14725	5	33	of	of	IN
14725	5	34	those	those	DT
14725	5	35	who	who	WP
14725	5	36	,	,	,
14725	5	37	without	without	IN
14725	5	38	having	have	VBG
14725	5	39	seen	see	VBN
14725	5	40	anything	anything	NN
14725	5	41	that	that	WDT
14725	5	42	I	-PRON-	PRP
14725	5	43	have	have	VBP
14725	5	44	written	write	VBN
14725	5	45	,	,	,
14725	5	46	may	may	MD
14725	5	47	be	be	VB
14725	5	48	found	find	VBN
14725	5	49	to	to	TO
14725	5	50	have	have	VB
14725	5	51	treated	treat	VBN
14725	5	52	of	of	IN
14725	5	53	like	like	JJ
14725	5	54	matters	matter	NNS
14725	5	55	:	:	:
14725	5	56	as	as	IN
14725	5	57	has	have	VBZ
14725	5	58	in	in	IN
14725	5	59	fact	fact	NN
14725	5	60	occurred	occur	VBD
14725	5	61	to	to	IN
14725	5	62	two	two	CD
14725	5	63	eminent	eminent	JJ
14725	5	64	Geometricians	Geometricians	NNPS
14725	5	65	,	,	,
14725	5	66	Messieurs	Messieurs	NNP
14725	5	67	Newton	Newton	NNP
14725	5	68	and	and	CC
14725	5	69	Leibnitz	Leibnitz	NNP
14725	5	70	,	,	,
14725	5	71	with	with	IN
14725	5	72	respect	respect	NN
14725	5	73	to	to	IN
14725	5	74	the	the	DT
14725	5	75	Problem	problem	NN
14725	5	76	of	of	IN
14725	5	77	the	the	DT
14725	5	78	figure	figure	NN
14725	5	79	of	of	IN
14725	5	80	glasses	glass	NNS
14725	5	81	for	for	IN
14725	5	82	collecting	collect	VBG
14725	5	83	rays	ray	NNS
14725	5	84	when	when	WRB
14725	5	85	one	one	CD
14725	5	86	of	of	IN
14725	5	87	the	the	DT
14725	5	88	surfaces	surface	NNS
14725	5	89	is	be	VBZ
14725	5	90	given	give	VBN
14725	5	91	.	.	.
14725	6	1	One	one	PRP
14725	6	2	may	may	MD
14725	6	3	ask	ask	VB
14725	6	4	why	why	WRB
14725	6	5	I	-PRON-	PRP
14725	6	6	have	have	VBP
14725	6	7	so	so	RB
14725	6	8	long	long	RB
14725	6	9	delayed	delay	VBN
14725	6	10	to	to	TO
14725	6	11	bring	bring	VB
14725	6	12	this	this	DT
14725	6	13	work	work	NN
14725	6	14	to	to	IN
14725	6	15	the	the	DT
14725	6	16	light	light	NN
14725	6	17	.	.	.
14725	7	1	The	the	DT
14725	7	2	reason	reason	NN
14725	7	3	is	be	VBZ
14725	7	4	that	that	IN
14725	7	5	I	-PRON-	PRP
14725	7	6	wrote	write	VBD
14725	7	7	it	-PRON-	PRP
14725	7	8	rather	rather	RB
14725	7	9	carelessly	carelessly	RB
14725	7	10	in	in	IN
14725	7	11	the	the	DT
14725	7	12	Language	Language	NNP
14725	7	13	in	in	IN
14725	7	14	which	which	WDT
14725	7	15	it	-PRON-	PRP
14725	7	16	appears	appear	VBZ
14725	7	17	,	,	,
14725	7	18	with	with	IN
14725	7	19	the	the	DT
14725	7	20	intention	intention	NN
14725	7	21	of	of	IN
14725	7	22	translating	translate	VBG
14725	7	23	it	-PRON-	PRP
14725	7	24	into	into	IN
14725	7	25	Latin	Latin	NNP
14725	7	26	,	,	,
14725	7	27	so	so	RB
14725	7	28	doing	do	VBG
14725	7	29	in	in	IN
14725	7	30	order	order	NN
14725	7	31	to	to	TO
14725	7	32	obtain	obtain	VB
14725	7	33	greater	great	JJR
14725	7	34	attention	attention	NN
14725	7	35	to	to	IN
14725	7	36	the	the	DT
14725	7	37	thing	thing	NN
14725	7	38	.	.	.
14725	8	1	After	after	IN
14725	8	2	which	which	WDT
14725	8	3	I	-PRON-	PRP
14725	8	4	proposed	propose	VBD
14725	8	5	to	to	IN
14725	8	6	myself	-PRON-	PRP
14725	8	7	to	to	TO
14725	8	8	give	give	VB
14725	8	9	it	-PRON-	PRP
14725	8	10	out	out	RP
14725	8	11	along	along	IN
14725	8	12	with	with	IN
14725	8	13	another	another	DT
14725	8	14	Treatise	Treatise	NNP
14725	8	15	on	on	IN
14725	8	16	Dioptrics	Dioptrics	NNP
14725	8	17	,	,	,
14725	8	18	in	in	IN
14725	8	19	which	which	WDT
14725	8	20	I	-PRON-	PRP
14725	8	21	explain	explain	VBP
14725	8	22	the	the	DT
14725	8	23	effects	effect	NNS
14725	8	24	of	of	IN
14725	8	25	Telescopes	telescope	NNS
14725	8	26	and	and	CC
14725	8	27	those	those	DT
14725	8	28	things	thing	NNS
14725	8	29	which	which	WDT
14725	8	30	belong	belong	VBP
14725	8	31	more	more	JJR
14725	8	32	to	to	IN
14725	8	33	that	that	DT
14725	8	34	Science	Science	NNP
14725	8	35	.	.	.
14725	9	1	But	but	CC
14725	9	2	the	the	DT
14725	9	3	pleasure	pleasure	NN
14725	9	4	of	of	IN
14725	9	5	novelty	novelty	NN
14725	9	6	being	be	VBG
14725	9	7	past	past	JJ
14725	9	8	,	,	,
14725	9	9	I	-PRON-	PRP
14725	9	10	have	have	VBP
14725	9	11	put	put	VBN
14725	9	12	off	off	RP
14725	9	13	from	from	IN
14725	9	14	time	time	NN
14725	9	15	to	to	IN
14725	9	16	time	time	NN
14725	9	17	the	the	DT
14725	9	18	execution	execution	NN
14725	9	19	of	of	IN
14725	9	20	this	this	DT
14725	9	21	design	design	NN
14725	9	22	,	,	,
14725	9	23	and	and	CC
14725	9	24	I	-PRON-	PRP
14725	9	25	know	know	VBP
14725	9	26	not	not	RB
14725	9	27	when	when	WRB
14725	9	28	I	-PRON-	PRP
14725	9	29	shall	shall	MD
14725	9	30	ever	ever	RB
14725	9	31	come	come	VB
14725	9	32	to	to	IN
14725	9	33	an	an	DT
14725	9	34	end	end	NN
14725	9	35	if	if	IN
14725	9	36	it	-PRON-	PRP
14725	9	37	,	,	,
14725	9	38	being	be	VBG
14725	9	39	often	often	RB
14725	9	40	turned	turn	VBN
14725	9	41	aside	aside	RP
14725	9	42	either	either	CC
14725	9	43	by	by	IN
14725	9	44	business	business	NN
14725	9	45	or	or	CC
14725	9	46	by	by	IN
14725	9	47	some	some	DT
14725	9	48	new	new	JJ
14725	9	49	study	study	NN
14725	9	50	.	.	.
14725	10	1	Considering	considering	NN
14725	10	2	which	which	WDT
14725	10	3	I	-PRON-	PRP
14725	10	4	have	have	VBP
14725	10	5	finally	finally	RB
14725	10	6	judged	judge	VBN
14725	10	7	that	that	IN
14725	10	8	it	-PRON-	PRP
14725	10	9	was	be	VBD
14725	10	10	better	well	JJR
14725	10	11	worth	worth	JJ
14725	10	12	while	while	IN
14725	10	13	to	to	TO
14725	10	14	publish	publish	VB
14725	10	15	this	this	DT
14725	10	16	writing	writing	NN
14725	10	17	,	,	,
14725	10	18	such	such	JJ
14725	10	19	as	as	IN
14725	10	20	it	-PRON-	PRP
14725	10	21	is	be	VBZ
14725	10	22	,	,	,
14725	10	23	than	than	IN
14725	10	24	to	to	TO
14725	10	25	let	let	VB
14725	10	26	it	-PRON-	PRP
14725	10	27	run	run	VB
14725	10	28	the	the	DT
14725	10	29	risk	risk	NN
14725	10	30	,	,	,
14725	10	31	by	by	IN
14725	10	32	waiting	wait	VBG
14725	10	33	longer	long	RBR
14725	10	34	,	,	,
14725	10	35	of	of	IN
14725	10	36	remaining	remain	VBG
14725	10	37	lost	lose	VBN
14725	10	38	.	.	.
14725	11	1	There	there	EX
14725	11	2	will	will	MD
14725	11	3	be	be	VB
14725	11	4	seen	see	VBN
14725	11	5	in	in	IN
14725	11	6	it	-PRON-	PRP
14725	11	7	demonstrations	demonstration	NNS
14725	11	8	of	of	IN
14725	11	9	those	those	DT
14725	11	10	kinds	kind	NNS
14725	11	11	which	which	WDT
14725	11	12	do	do	VBP
14725	11	13	not	not	RB
14725	11	14	produce	produce	VB
14725	11	15	as	as	RB
14725	11	16	great	great	JJ
14725	11	17	a	a	DT
14725	11	18	certitude	certitude	NN
14725	11	19	as	as	IN
14725	11	20	those	those	DT
14725	11	21	of	of	IN
14725	11	22	Geometry	Geometry	NNP
14725	11	23	,	,	,
14725	11	24	and	and	CC
14725	11	25	which	which	WDT
14725	11	26	even	even	RB
14725	11	27	differ	differ	VBP
14725	11	28	much	much	JJ
14725	11	29	therefrom	therefrom	NN
14725	11	30	,	,	,
14725	11	31	since	since	IN
14725	11	32	whereas	whereas	IN
14725	11	33	the	the	DT
14725	11	34	Geometers	geometer	NNS
14725	11	35	prove	prove	VBP
14725	11	36	their	-PRON-	PRP$
14725	11	37	Propositions	proposition	NNS
14725	11	38	by	by	IN
14725	11	39	fixed	fix	VBN
14725	11	40	and	and	CC
14725	11	41	incontestable	incontestable	JJ
14725	11	42	Principles	principle	NNS
14725	11	43	,	,	,
14725	11	44	here	here	RB
14725	11	45	the	the	DT
14725	11	46	Principles	principle	NNS
14725	11	47	are	be	VBP
14725	11	48	verified	verify	VBN
14725	11	49	by	by	IN
14725	11	50	the	the	DT
14725	11	51	conclusions	conclusion	NNS
14725	11	52	to	to	TO
14725	11	53	be	be	VB
14725	11	54	drawn	draw	VBN
14725	11	55	from	from	IN
14725	11	56	them	-PRON-	PRP
14725	11	57	;	;	:
14725	11	58	the	the	DT
14725	11	59	nature	nature	NN
14725	11	60	of	of	IN
14725	11	61	these	these	DT
14725	11	62	things	thing	NNS
14725	11	63	not	not	RB
14725	11	64	allowing	allow	VBG
14725	11	65	of	of	IN
14725	11	66	this	this	DT
14725	11	67	being	be	VBG
14725	11	68	done	do	VBN
14725	11	69	otherwise	otherwise	RB
14725	11	70	.	.	.
14725	12	1	It	-PRON-	PRP
14725	12	2	is	be	VBZ
14725	12	3	always	always	RB
14725	12	4	possible	possible	JJ
14725	12	5	to	to	TO
14725	12	6	attain	attain	VB
14725	12	7	thereby	thereby	RB
14725	12	8	to	to	IN
14725	12	9	a	a	DT
14725	12	10	degree	degree	NN
14725	12	11	of	of	IN
14725	12	12	probability	probability	NN
14725	12	13	which	which	WDT
14725	12	14	very	very	RB
14725	12	15	often	often	RB
14725	12	16	is	be	VBZ
14725	12	17	scarcely	scarcely	RB
14725	12	18	less	less	JJR
14725	12	19	than	than	IN
14725	12	20	complete	complete	JJ
14725	12	21	proof	proof	NN
14725	12	22	.	.	.
14725	13	1	To	to	IN
14725	13	2	wit	wit	NN
14725	13	3	,	,	,
14725	13	4	when	when	WRB
14725	13	5	things	thing	NNS
14725	13	6	which	which	WDT
14725	13	7	have	have	VBP
14725	13	8	been	be	VBN
14725	13	9	demonstrated	demonstrate	VBN
14725	13	10	by	by	IN
14725	13	11	the	the	DT
14725	13	12	Principles	Principles	NNPS
14725	13	13	that	that	WDT
14725	13	14	have	have	VBP
14725	13	15	been	be	VBN
14725	13	16	assumed	assume	VBN
14725	13	17	correspond	correspond	NN
14725	13	18	perfectly	perfectly	RB
14725	13	19	to	to	IN
14725	13	20	the	the	DT
14725	13	21	phenomena	phenomenon	NNS
14725	13	22	which	which	WDT
14725	13	23	experiment	experiment	NN
14725	13	24	has	have	VBZ
14725	13	25	brought	bring	VBN
14725	13	26	under	under	IN
14725	13	27	observation	observation	NN
14725	13	28	;	;	:
14725	13	29	especially	especially	RB
14725	13	30	when	when	WRB
14725	13	31	there	there	EX
14725	13	32	are	be	VBP
14725	13	33	a	a	DT
14725	13	34	great	great	JJ
14725	13	35	number	number	NN
14725	13	36	of	of	IN
14725	13	37	them	-PRON-	PRP
14725	13	38	,	,	,
14725	13	39	and	and	CC
14725	13	40	further	far	RBR
14725	13	41	,	,	,
14725	13	42	principally	principally	RB
14725	13	43	,	,	,
14725	13	44	when	when	WRB
14725	13	45	one	one	PRP
14725	13	46	can	can	MD
14725	13	47	imagine	imagine	VB
14725	13	48	and	and	CC
14725	13	49	foresee	foresee	VB
14725	13	50	new	new	JJ
14725	13	51	phenomena	phenomenon	NNS
14725	13	52	which	which	WDT
14725	13	53	ought	ought	MD
14725	13	54	to	to	TO
14725	13	55	follow	follow	VB
14725	13	56	from	from	IN
14725	13	57	the	the	DT
14725	13	58	hypotheses	hypothesis	NNS
14725	13	59	which	which	WDT
14725	13	60	one	one	NN
14725	13	61	employs	employ	VBZ
14725	13	62	,	,	,
14725	13	63	and	and	CC
14725	13	64	when	when	WRB
14725	13	65	one	one	PRP
14725	13	66	finds	find	VBZ
14725	13	67	that	that	IN
14725	13	68	therein	therein	RB
14725	13	69	the	the	DT
14725	13	70	fact	fact	NN
14725	13	71	corresponds	correspond	VBZ
14725	13	72	to	to	IN
14725	13	73	our	-PRON-	PRP$
14725	13	74	prevision	prevision	NN
14725	13	75	.	.	.
14725	14	1	But	but	CC
14725	14	2	if	if	IN
14725	14	3	all	all	PDT
14725	14	4	these	these	DT
14725	14	5	proofs	proof	NNS
14725	14	6	of	of	IN
14725	14	7	probability	probability	NN
14725	14	8	are	be	VBP
14725	14	9	met	meet	VBN
14725	14	10	with	with	IN
14725	14	11	in	in	IN
14725	14	12	that	that	DT
14725	14	13	which	which	WDT
14725	14	14	I	-PRON-	PRP
14725	14	15	propose	propose	VBP
14725	14	16	to	to	TO
14725	14	17	discuss	discuss	VB
14725	14	18	,	,	,
14725	14	19	as	as	IN
14725	14	20	it	-PRON-	PRP
14725	14	21	seems	seem	VBZ
14725	14	22	to	to	IN
14725	14	23	me	-PRON-	PRP
14725	14	24	they	-PRON-	PRP
14725	14	25	are	be	VBP
14725	14	26	,	,	,
14725	14	27	this	this	DT
14725	14	28	ought	ought	MD
14725	14	29	to	to	TO
14725	14	30	be	be	VB
14725	14	31	a	a	DT
14725	14	32	very	very	RB
14725	14	33	strong	strong	JJ
14725	14	34	confirmation	confirmation	NN
14725	14	35	of	of	IN
14725	14	36	the	the	DT
14725	14	37	success	success	NN
14725	14	38	of	of	IN
14725	14	39	my	-PRON-	PRP$
14725	14	40	inquiry	inquiry	NN
14725	14	41	;	;	:
14725	14	42	and	and	CC
14725	14	43	it	-PRON-	PRP
14725	14	44	must	must	MD
14725	14	45	be	be	VB
14725	14	46	ill	ill	JJ
14725	14	47	if	if	IN
14725	14	48	the	the	DT
14725	14	49	facts	fact	NNS
14725	14	50	are	be	VBP
14725	14	51	not	not	RB
14725	14	52	pretty	pretty	RB
14725	14	53	much	much	RB
14725	14	54	as	as	IN
14725	14	55	I	-PRON-	PRP
14725	14	56	represent	represent	VBP
14725	14	57	them	-PRON-	PRP
14725	14	58	.	.	.
14725	15	1	I	-PRON-	PRP
14725	15	2	would	would	MD
14725	15	3	believe	believe	VB
14725	15	4	then	then	RB
14725	15	5	that	that	IN
14725	15	6	those	those	DT
14725	15	7	who	who	WP
14725	15	8	love	love	VBP
14725	15	9	to	to	TO
14725	15	10	know	know	VB
14725	15	11	the	the	DT
14725	15	12	Causes	Causes	NNPS
14725	15	13	of	of	IN
14725	15	14	things	thing	NNS
14725	15	15	and	and	CC
14725	15	16	who	who	WP
14725	15	17	are	be	VBP
14725	15	18	able	able	JJ
14725	15	19	to	to	TO
14725	15	20	admire	admire	VB
14725	15	21	the	the	DT
14725	15	22	marvels	marvel	NNS
14725	15	23	of	of	IN
14725	15	24	Light	Light	NNP
14725	15	25	,	,	,
14725	15	26	will	will	MD
14725	15	27	find	find	VB
14725	15	28	some	some	DT
14725	15	29	satisfaction	satisfaction	NN
14725	15	30	in	in	IN
14725	15	31	these	these	DT
14725	15	32	various	various	JJ
14725	15	33	speculations	speculation	NNS
14725	15	34	regarding	regard	VBG
14725	15	35	it	-PRON-	PRP
14725	15	36	,	,	,
14725	15	37	and	and	CC
14725	15	38	in	in	IN
14725	15	39	the	the	DT
14725	15	40	new	new	JJ
14725	15	41	explanation	explanation	NN
14725	15	42	of	of	IN
14725	15	43	its	-PRON-	PRP$
14725	15	44	famous	famous	JJ
14725	15	45	property	property	NN
14725	15	46	which	which	WDT
14725	15	47	is	be	VBZ
14725	15	48	the	the	DT
14725	15	49	main	main	JJ
14725	15	50	foundation	foundation	NN
14725	15	51	of	of	IN
14725	15	52	the	the	DT
14725	15	53	construction	construction	NN
14725	15	54	of	of	IN
14725	15	55	our	-PRON-	PRP$
14725	15	56	eyes	eye	NNS
14725	15	57	and	and	CC
14725	15	58	of	of	IN
14725	15	59	those	those	DT
14725	15	60	great	great	JJ
14725	15	61	inventions	invention	NNS
14725	15	62	which	which	WDT
14725	15	63	extend	extend	VBP
14725	15	64	so	so	RB
14725	15	65	vastly	vastly	RB
14725	15	66	the	the	DT
14725	15	67	use	use	NN
14725	15	68	of	of	IN
14725	15	69	them	-PRON-	PRP
14725	15	70	.	.	.
14725	16	1	I	-PRON-	PRP
14725	16	2	hope	hope	VBP
14725	16	3	also	also	RB
14725	16	4	that	that	IN
14725	16	5	there	there	EX
14725	16	6	will	will	MD
14725	16	7	be	be	VB
14725	16	8	some	some	DT
14725	16	9	who	who	WP
14725	16	10	by	by	IN
14725	16	11	following	follow	VBG
14725	16	12	these	these	DT
14725	16	13	beginnings	beginning	NNS
14725	16	14	will	will	MD
14725	16	15	penetrate	penetrate	VB
14725	16	16	much	much	RB
14725	16	17	further	far	RBR
14725	16	18	into	into	IN
14725	16	19	this	this	DT
14725	16	20	question	question	NN
14725	16	21	than	than	IN
14725	16	22	I	-PRON-	PRP
14725	16	23	have	have	VBP
14725	16	24	been	be	VBN
14725	16	25	able	able	JJ
14725	16	26	to	to	TO
14725	16	27	do	do	VB
14725	16	28	,	,	,
14725	16	29	since	since	IN
14725	16	30	the	the	DT
14725	16	31	subject	subject	NN
14725	16	32	must	must	MD
14725	16	33	be	be	VB
14725	16	34	far	far	RB
14725	16	35	from	from	IN
14725	16	36	being	be	VBG
14725	16	37	exhausted	exhaust	VBN
14725	16	38	.	.	.
14725	17	1	This	this	DT
14725	17	2	appears	appear	VBZ
14725	17	3	from	from	IN
14725	17	4	the	the	DT
14725	17	5	passages	passage	NNS
14725	17	6	which	which	WDT
14725	17	7	I	-PRON-	PRP
14725	17	8	have	have	VBP
14725	17	9	indicated	indicate	VBN
14725	17	10	where	where	WRB
14725	17	11	I	-PRON-	PRP
14725	17	12	leave	leave	VBP
14725	17	13	certain	certain	JJ
14725	17	14	difficulties	difficulty	NNS
14725	17	15	without	without	IN
14725	17	16	having	have	VBG
14725	17	17	resolved	resolve	VBN
14725	17	18	them	-PRON-	PRP
14725	17	19	,	,	,
14725	17	20	and	and	CC
14725	17	21	still	still	RB
14725	17	22	more	more	JJR
14725	17	23	from	from	IN
14725	17	24	matters	matter	NNS
14725	17	25	which	which	WDT
14725	17	26	I	-PRON-	PRP
14725	17	27	have	have	VBP
14725	17	28	not	not	RB
14725	17	29	touched	touch	VBN
14725	17	30	at	at	RB
14725	17	31	all	all	RB
14725	17	32	,	,	,
14725	17	33	such	such	JJ
14725	17	34	as	as	IN
14725	17	35	Luminous	luminous	JJ
14725	17	36	Bodies	body	NNS
14725	17	37	of	of	IN
14725	17	38	several	several	JJ
14725	17	39	sorts	sort	NNS
14725	17	40	,	,	,
14725	17	41	and	and	CC
14725	17	42	all	all	PDT
14725	17	43	that	that	WDT
14725	17	44	concerns	concern	VBZ
14725	17	45	Colours	colour	NNS
14725	17	46	;	;	:
14725	17	47	in	in	IN
14725	17	48	which	which	WDT
14725	17	49	no	no	DT
14725	17	50	one	one	NN
14725	17	51	until	until	IN
14725	17	52	now	now	RB
14725	17	53	can	can	MD
14725	17	54	boast	boast	VB
14725	17	55	of	of	IN
14725	17	56	having	have	VBG
14725	17	57	succeeded	succeed	VBN
14725	17	58	.	.	.
14725	18	1	Finally	finally	RB
14725	18	2	,	,	,
14725	18	3	there	there	EX
14725	18	4	remains	remain	VBZ
14725	18	5	much	much	RB
14725	18	6	more	more	JJR
14725	18	7	to	to	TO
14725	18	8	be	be	VB
14725	18	9	investigated	investigate	VBN
14725	18	10	touching	touch	VBG
14725	18	11	the	the	DT
14725	18	12	nature	nature	NN
14725	18	13	of	of	IN
14725	18	14	Light	light	NN
14725	18	15	which	which	WDT
14725	18	16	I	-PRON-	PRP
14725	18	17	do	do	VBP
14725	18	18	not	not	RB
14725	18	19	pretend	pretend	VB
14725	18	20	to	to	TO
14725	18	21	have	have	VB
14725	18	22	disclosed	disclose	VBN
14725	18	23	,	,	,
14725	18	24	and	and	CC
14725	18	25	I	-PRON-	PRP
14725	18	26	shall	shall	MD
14725	18	27	owe	owe	VB
14725	18	28	much	much	JJ
14725	18	29	in	in	IN
14725	18	30	return	return	NN
14725	18	31	to	to	IN
14725	18	32	him	-PRON-	PRP
14725	18	33	who	who	WP
14725	18	34	shall	shall	MD
14725	18	35	be	be	VB
14725	18	36	able	able	JJ
14725	18	37	to	to	TO
14725	18	38	supplement	supplement	VB
14725	18	39	that	that	DT
14725	18	40	which	which	WDT
14725	18	41	is	be	VBZ
14725	18	42	here	here	RB
14725	18	43	lacking	lack	VBG
14725	18	44	to	to	IN
14725	18	45	me	-PRON-	PRP
14725	18	46	in	in	IN
14725	18	47	knowledge	knowledge	NN
14725	18	48	.	.	.
14725	19	1	The	the	DT
14725	19	2	Hague	Hague	NNP
14725	19	3	.	.	.
14725	20	1	The	the	DT
14725	20	2	8	8	CD
14725	20	3	January	January	NNP
14725	20	4	1690	1690	CD
14725	20	5	.	.	.
14725	21	1	NOTE	note	NN
14725	21	2	BY	by	IN
14725	21	3	THE	the	DT
14725	21	4	TRANSLATOR	TRANSLATOR	NNP
14725	21	5	Considering	consider	VBG
14725	21	6	the	the	DT
14725	21	7	great	great	JJ
14725	21	8	influence	influence	NN
14725	21	9	which	which	WDT
14725	21	10	this	this	DT
14725	21	11	Treatise	Treatise	NNP
14725	21	12	has	have	VBZ
14725	21	13	exercised	exercise	VBN
14725	21	14	in	in	IN
14725	21	15	the	the	DT
14725	21	16	development	development	NN
14725	21	17	of	of	IN
14725	21	18	the	the	DT
14725	21	19	Science	Science	NNP
14725	21	20	of	of	IN
14725	21	21	Optics	Optics	NNPS
14725	21	22	,	,	,
14725	21	23	it	-PRON-	PRP
14725	21	24	seems	seem	VBZ
14725	21	25	strange	strange	JJ
14725	21	26	that	that	IN
14725	21	27	two	two	CD
14725	21	28	centuries	century	NNS
14725	21	29	should	should	MD
14725	21	30	have	have	VB
14725	21	31	passed	pass	VBN
14725	21	32	before	before	IN
14725	21	33	an	an	DT
14725	21	34	English	english	JJ
14725	21	35	edition	edition	NN
14725	21	36	of	of	IN
14725	21	37	the	the	DT
14725	21	38	work	work	NN
14725	21	39	appeared	appear	VBD
14725	21	40	.	.	.
14725	22	1	Perhaps	perhaps	RB
14725	22	2	the	the	DT
14725	22	3	circumstance	circumstance	NN
14725	22	4	is	be	VBZ
14725	22	5	due	due	JJ
14725	22	6	to	to	IN
14725	22	7	the	the	DT
14725	22	8	mistaken	mistaken	JJ
14725	22	9	zeal	zeal	NN
14725	22	10	with	with	IN
14725	22	11	which	which	WDT
14725	22	12	formerly	formerly	RB
14725	22	13	everything	everything	NN
14725	22	14	that	that	WDT
14725	22	15	conflicted	conflict	VBD
14725	22	16	with	with	IN
14725	22	17	the	the	DT
14725	22	18	cherished	cherish	VBN
14725	22	19	ideas	idea	NNS
14725	22	20	of	of	IN
14725	22	21	Newton	Newton	NNP
14725	22	22	was	be	VBD
14725	22	23	denounced	denounce	VBN
14725	22	24	by	by	IN
14725	22	25	his	-PRON-	PRP$
14725	22	26	followers	follower	NNS
14725	22	27	.	.	.
14725	23	1	The	the	DT
14725	23	2	Treatise	Treatise	NNP
14725	23	3	on	on	IN
14725	23	4	Light	light	NN
14725	23	5	of	of	IN
14725	23	6	Huygens	Huygens	NNP
14725	23	7	has	have	VBZ
14725	23	8	,	,	,
14725	23	9	however	however	RB
14725	23	10	,	,	,
14725	23	11	withstood	withstand	VBD
14725	23	12	the	the	DT
14725	23	13	test	test	NN
14725	23	14	of	of	IN
14725	23	15	time	time	NN
14725	23	16	:	:	:
14725	23	17	and	and	CC
14725	23	18	even	even	RB
14725	23	19	now	now	RB
14725	23	20	the	the	DT
14725	23	21	exquisite	exquisite	JJ
14725	23	22	skill	skill	NN
14725	23	23	with	with	IN
14725	23	24	which	which	WDT
14725	23	25	he	-PRON-	PRP
14725	23	26	applied	apply	VBD
14725	23	27	his	-PRON-	PRP$
14725	23	28	conception	conception	NN
14725	23	29	of	of	IN
14725	23	30	the	the	DT
14725	23	31	propagation	propagation	NN
14725	23	32	of	of	IN
14725	23	33	waves	wave	NNS
14725	23	34	of	of	IN
14725	23	35	light	light	NN
14725	23	36	to	to	TO
14725	23	37	unravel	unravel	VB
14725	23	38	the	the	DT
14725	23	39	intricacies	intricacy	NNS
14725	23	40	of	of	IN
14725	23	41	the	the	DT
14725	23	42	phenomena	phenomenon	NNS
14725	23	43	of	of	IN
14725	23	44	the	the	DT
14725	23	45	double	double	JJ
14725	23	46	refraction	refraction	NN
14725	23	47	of	of	IN
14725	23	48	crystals	crystal	NNS
14725	23	49	,	,	,
14725	23	50	and	and	CC
14725	23	51	of	of	IN
14725	23	52	the	the	DT
14725	23	53	refraction	refraction	NN
14725	23	54	of	of	IN
14725	23	55	the	the	DT
14725	23	56	atmosphere	atmosphere	NN
14725	23	57	,	,	,
14725	23	58	will	will	MD
14725	23	59	excite	excite	VB
14725	23	60	the	the	DT
14725	23	61	admiration	admiration	NN
14725	23	62	of	of	IN
14725	23	63	the	the	DT
14725	23	64	student	student	NN
14725	23	65	of	of	IN
14725	23	66	Optics	Optics	NNP
14725	23	67	.	.	.
14725	24	1	It	-PRON-	PRP
14725	24	2	is	be	VBZ
14725	24	3	true	true	JJ
14725	24	4	that	that	IN
14725	24	5	his	-PRON-	PRP$
14725	24	6	wave	wave	NN
14725	24	7	theory	theory	NN
14725	24	8	was	be	VBD
14725	24	9	far	far	RB
14725	24	10	from	from	IN
14725	24	11	the	the	DT
14725	24	12	complete	complete	JJ
14725	24	13	doctrine	doctrine	NN
14725	24	14	as	as	IN
14725	24	15	subsequently	subsequently	RB
14725	24	16	developed	develop	VBN
14725	24	17	by	by	IN
14725	24	18	Thomas	Thomas	NNP
14725	24	19	Young	Young	NNP
14725	24	20	and	and	CC
14725	24	21	Augustin	Augustin	NNP
14725	24	22	Fresnel	Fresnel	NNP
14725	24	23	,	,	,
14725	24	24	and	and	CC
14725	24	25	belonged	belong	VBD
14725	24	26	rather	rather	RB
14725	24	27	to	to	IN
14725	24	28	geometrical	geometrical	JJ
14725	24	29	than	than	IN
14725	24	30	to	to	IN
14725	24	31	physical	physical	JJ
14725	24	32	Optics	optic	NNS
14725	24	33	.	.	.
14725	25	1	If	if	IN
14725	25	2	Huygens	Huygens	NNP
14725	25	3	had	have	VBD
14725	25	4	no	no	DT
14725	25	5	conception	conception	NN
14725	25	6	of	of	IN
14725	25	7	transverse	transverse	JJ
14725	25	8	vibrations	vibration	NNS
14725	25	9	,	,	,
14725	25	10	of	of	IN
14725	25	11	the	the	DT
14725	25	12	principle	principle	NN
14725	25	13	of	of	IN
14725	25	14	interference	interference	NN
14725	25	15	,	,	,
14725	25	16	or	or	CC
14725	25	17	of	of	IN
14725	25	18	the	the	DT
14725	25	19	existence	existence	NN
14725	25	20	of	of	IN
14725	25	21	the	the	DT
14725	25	22	ordered	order	VBN
14725	25	23	sequence	sequence	NN
14725	25	24	of	of	IN
14725	25	25	waves	wave	NNS
14725	25	26	in	in	IN
14725	25	27	trains	train	NNS
14725	25	28	,	,	,
14725	25	29	he	-PRON-	PRP
14725	25	30	nevertheless	nevertheless	RB
14725	25	31	attained	attain	VBD
14725	25	32	to	to	IN
14725	25	33	a	a	DT
14725	25	34	remarkably	remarkably	RB
14725	25	35	clear	clear	JJ
14725	25	36	understanding	understanding	NN
14725	25	37	of	of	IN
14725	25	38	the	the	DT
14725	25	39	principles	principle	NNS
14725	25	40	of	of	IN
14725	25	41	wave	wave	NN
14725	25	42	-	-	HYPH
14725	25	43	propagation	propagation	NN
14725	25	44	;	;	:
14725	25	45	and	and	CC
14725	25	46	his	-PRON-	PRP$
14725	25	47	exposition	exposition	NN
14725	25	48	of	of	IN
14725	25	49	the	the	DT
14725	25	50	subject	subject	NN
14725	25	51	marks	mark	VBZ
14725	25	52	an	an	DT
14725	25	53	epoch	epoch	NN
14725	25	54	in	in	IN
14725	25	55	the	the	DT
14725	25	56	treatment	treatment	NN
14725	25	57	of	of	IN
14725	25	58	Optical	optical	JJ
14725	25	59	problems	problem	NNS
14725	25	60	.	.	.
14725	26	1	It	-PRON-	PRP
14725	26	2	has	have	VBZ
14725	26	3	been	be	VBN
14725	26	4	needful	needful	JJ
14725	26	5	in	in	IN
14725	26	6	preparing	prepare	VBG
14725	26	7	this	this	DT
14725	26	8	translation	translation	NN
14725	26	9	to	to	TO
14725	26	10	exercise	exercise	VB
14725	26	11	care	care	NN
14725	26	12	lest	lest	IN
14725	26	13	one	one	PRP
14725	26	14	should	should	MD
14725	26	15	import	import	VB
14725	26	16	into	into	IN
14725	26	17	the	the	DT
14725	26	18	author	author	NN
14725	26	19	's	's	POS
14725	26	20	text	text	NN
14725	26	21	ideas	idea	NNS
14725	26	22	of	of	IN
14725	26	23	subsequent	subsequent	JJ
14725	26	24	date	date	NN
14725	26	25	,	,	,
14725	26	26	by	by	IN
14725	26	27	using	use	VBG
14725	26	28	words	word	NNS
14725	26	29	that	that	WDT
14725	26	30	have	have	VBP
14725	26	31	come	come	VBN
14725	26	32	to	to	TO
14725	26	33	imply	imply	VB
14725	26	34	modern	modern	JJ
14725	26	35	conceptions	conception	NNS
14725	26	36	.	.	.
14725	27	1	Hence	hence	RB
14725	27	2	the	the	DT
14725	27	3	adoption	adoption	NN
14725	27	4	of	of	IN
14725	27	5	as	as	RB
14725	27	6	literal	literal	JJ
14725	27	7	a	a	DT
14725	27	8	rendering	rendering	NN
14725	27	9	as	as	IN
14725	27	10	possible	possible	JJ
14725	27	11	.	.	.
14725	28	1	A	a	DT
14725	28	2	few	few	JJ
14725	28	3	of	of	IN
14725	28	4	the	the	DT
14725	28	5	author	author	NN
14725	28	6	's	's	POS
14725	28	7	terms	term	NNS
14725	28	8	need	need	VBP
14725	28	9	explanation	explanation	NN
14725	28	10	.	.	.
14725	29	1	He	-PRON-	PRP
14725	29	2	uses	use	VBZ
14725	29	3	the	the	DT
14725	29	4	word	word	NN
14725	29	5	"	"	``
14725	29	6	refraction	refraction	NN
14725	29	7	,	,	,
14725	29	8	"	"	''
14725	29	9	for	for	IN
14725	29	10	example	example	NN
14725	29	11	,	,	,
14725	29	12	both	both	CC
14725	29	13	for	for	IN
14725	29	14	the	the	DT
14725	29	15	phenomenon	phenomenon	NN
14725	29	16	or	or	CC
14725	29	17	process	process	NN
14725	29	18	usually	usually	RB
14725	29	19	so	so	RB
14725	29	20	denoted	denoted	JJ
14725	29	21	,	,	,
14725	29	22	and	and	CC
14725	29	23	for	for	IN
14725	29	24	the	the	DT
14725	29	25	result	result	NN
14725	29	26	of	of	IN
14725	29	27	that	that	DT
14725	29	28	process	process	NN
14725	29	29	:	:	:
14725	29	30	thus	thus	RB
14725	29	31	the	the	DT
14725	29	32	refracted	refract	VBN
14725	29	33	ray	ray	NN
14725	29	34	he	-PRON-	PRP
14725	29	35	habitually	habitually	RB
14725	29	36	terms	term	VBZ
14725	29	37	"	"	``
14725	29	38	the	the	DT
14725	29	39	refraction	refraction	NN
14725	29	40	"	"	''
14725	29	41	of	of	IN
14725	29	42	the	the	DT
14725	29	43	incident	incident	NN
14725	29	44	ray	ray	NN
14725	29	45	.	.	.
14725	30	1	When	when	WRB
14725	30	2	a	a	DT
14725	30	3	wave	wave	NN
14725	30	4	-	-	HYPH
14725	30	5	front	front	NN
14725	30	6	,	,	,
14725	30	7	or	or	CC
14725	30	8	,	,	,
14725	30	9	as	as	IN
14725	30	10	he	-PRON-	PRP
14725	30	11	terms	term	VBZ
14725	30	12	it	-PRON-	PRP
14725	30	13	,	,	,
14725	30	14	a	a	DT
14725	30	15	"	"	``
14725	30	16	wave	wave	NN
14725	30	17	,	,	,
14725	30	18	"	"	''
14725	30	19	has	have	VBZ
14725	30	20	passed	pass	VBN
14725	30	21	from	from	IN
14725	30	22	some	some	DT
14725	30	23	initial	initial	JJ
14725	30	24	position	position	NN
14725	30	25	to	to	IN
14725	30	26	a	a	DT
14725	30	27	subsequent	subsequent	JJ
14725	30	28	one	one	NN
14725	30	29	,	,	,
14725	30	30	he	-PRON-	PRP
14725	30	31	terms	term	VBZ
14725	30	32	the	the	DT
14725	30	33	wave	wave	NN
14725	30	34	-	-	HYPH
14725	30	35	front	front	NN
14725	30	36	in	in	IN
14725	30	37	its	-PRON-	PRP$
14725	30	38	subsequent	subsequent	JJ
14725	30	39	position	position	NN
14725	30	40	"	"	``
14725	30	41	the	the	DT
14725	30	42	continuation	continuation	NN
14725	30	43	"	"	''
14725	30	44	of	of	IN
14725	30	45	the	the	DT
14725	30	46	wave	wave	NN
14725	30	47	.	.	.
14725	31	1	He	-PRON-	PRP
14725	31	2	also	also	RB
14725	31	3	speaks	speak	VBZ
14725	31	4	of	of	IN
14725	31	5	the	the	DT
14725	31	6	envelope	envelope	NN
14725	31	7	of	of	IN
14725	31	8	a	a	DT
14725	31	9	set	set	NN
14725	31	10	of	of	IN
14725	31	11	elementary	elementary	JJ
14725	31	12	waves	wave	NNS
14725	31	13	,	,	,
14725	31	14	formed	form	VBN
14725	31	15	by	by	IN
14725	31	16	coalescence	coalescence	NN
14725	31	17	of	of	IN
14725	31	18	those	those	DT
14725	31	19	elementary	elementary	JJ
14725	31	20	wave	wave	NN
14725	31	21	-	-	HYPH
14725	31	22	fronts	front	NNS
14725	31	23	,	,	,
14725	31	24	as	as	IN
14725	31	25	"	"	``
14725	31	26	the	the	DT
14725	31	27	termination	termination	NN
14725	31	28	"	"	''
14725	31	29	of	of	IN
14725	31	30	the	the	DT
14725	31	31	wave	wave	NN
14725	31	32	;	;	:
14725	31	33	and	and	CC
14725	31	34	the	the	DT
14725	31	35	elementary	elementary	JJ
14725	31	36	wave	wave	NN
14725	31	37	-	-	:
14725	31	38	fronts	front	NNS
14725	31	39	he	-PRON-	PRP
14725	31	40	terms	term	VBZ
14725	31	41	"	"	``
14725	31	42	particular	particular	JJ
14725	31	43	"	"	''
14725	31	44	waves	wave	NNS
14725	31	45	.	.	.
14725	32	1	Owing	owe	VBG
14725	32	2	to	to	IN
14725	32	3	the	the	DT
14725	32	4	circumstance	circumstance	NN
14725	32	5	that	that	WDT
14725	32	6	the	the	DT
14725	32	7	French	french	JJ
14725	32	8	word	word	NN
14725	32	9	_	_	NNP
14725	32	10	rayon	rayon	NN
14725	32	11	_	_	NNP
14725	32	12	possesses	possess	VBZ
14725	32	13	the	the	DT
14725	32	14	double	double	JJ
14725	32	15	signification	signification	NN
14725	32	16	of	of	IN
14725	32	17	ray	ray	NN
14725	32	18	of	of	IN
14725	32	19	light	light	NN
14725	32	20	and	and	CC
14725	32	21	radius	radius	NN
14725	32	22	of	of	IN
14725	32	23	a	a	DT
14725	32	24	circle	circle	NN
14725	32	25	,	,	,
14725	32	26	he	-PRON-	PRP
14725	32	27	avoids	avoid	VBZ
14725	32	28	its	-PRON-	PRP$
14725	32	29	use	use	NN
14725	32	30	in	in	IN
14725	32	31	the	the	DT
14725	32	32	latter	latter	JJ
14725	32	33	sense	sense	NN
14725	32	34	and	and	CC
14725	32	35	speaks	speak	VBZ
14725	32	36	always	always	RB
14725	32	37	of	of	IN
14725	32	38	the	the	DT
14725	32	39	semi	semi	JJ
14725	32	40	-	-	JJ
14725	32	41	diameter	diameter	NN
14725	32	42	,	,	,
14725	32	43	not	not	RB
14725	32	44	of	of	IN
14725	32	45	the	the	DT
14725	32	46	radius	radius	NN
14725	32	47	.	.	.
14725	33	1	His	-PRON-	PRP$
14725	33	2	speculations	speculation	NNS
14725	33	3	as	as	IN
14725	33	4	to	to	IN
14725	33	5	the	the	DT
14725	33	6	ether	ether	NN
14725	33	7	,	,	,
14725	33	8	his	-PRON-	PRP$
14725	33	9	suggestive	suggestive	JJ
14725	33	10	views	view	NNS
14725	33	11	of	of	IN
14725	33	12	the	the	DT
14725	33	13	structure	structure	NN
14725	33	14	of	of	IN
14725	33	15	crystalline	crystalline	JJ
14725	33	16	bodies	body	NNS
14725	33	17	,	,	,
14725	33	18	and	and	CC
14725	33	19	his	-PRON-	PRP$
14725	33	20	explanation	explanation	NN
14725	33	21	of	of	IN
14725	33	22	opacity	opacity	NN
14725	33	23	,	,	,
14725	33	24	slight	slight	JJ
14725	33	25	as	as	IN
14725	33	26	they	-PRON-	PRP
14725	33	27	are	be	VBP
14725	33	28	,	,	,
14725	33	29	will	will	MD
14725	33	30	possibly	possibly	RB
14725	33	31	surprise	surprise	VB
14725	33	32	the	the	DT
14725	33	33	reader	reader	NN
14725	33	34	by	by	IN
14725	33	35	their	-PRON-	PRP$
14725	33	36	seeming	seeming	JJ
14725	33	37	modernness	modernness	NN
14725	33	38	.	.	.
14725	34	1	And	and	CC
14725	34	2	none	none	NN
14725	34	3	can	can	MD
14725	34	4	read	read	VB
14725	34	5	his	-PRON-	PRP$
14725	34	6	investigation	investigation	NN
14725	34	7	of	of	IN
14725	34	8	the	the	DT
14725	34	9	phenomena	phenomenon	NNS
14725	34	10	found	find	VBN
14725	34	11	in	in	IN
14725	34	12	Iceland	Iceland	NNP
14725	34	13	spar	spar	NNS
14725	34	14	without	without	IN
14725	34	15	marvelling	marvel	VBG
14725	34	16	at	at	IN
14725	34	17	his	-PRON-	PRP$
14725	34	18	insight	insight	NN
14725	34	19	and	and	CC
14725	34	20	sagacity	sagacity	NN
14725	34	21	.	.	.
14725	35	1	S.P.T.	S.P.T.	NNP
14725	36	1	June	June	NNP
14725	36	2	,	,	,
14725	36	3	1912	1912	CD
14725	36	4	.	.	.
14725	37	1	TABLE	TABLE	NNS
14725	37	2	OF	of	IN
14725	37	3	MATTERS	matter	NNS
14725	37	4	Contained	contain	VBN
14725	37	5	in	in	IN
14725	37	6	this	this	DT
14725	37	7	Treatise	Treatise	NNP
14725	37	8	CHAPTER	CHAPTER	NNP
14725	37	9	I.	i.	NN
14725	38	1	On	on	IN
14725	38	2	Rays	ray	NNS
14725	38	3	Propagated	propagate	VBN
14725	38	4	in	in	IN
14725	38	5	Straight	Straight	NNP
14725	38	6	Lines	Lines	NNPS
14725	38	7	.	.	.
14725	39	1	That	that	DT
14725	39	2	Light	light	NN
14725	39	3	is	be	VBZ
14725	39	4	produced	produce	VBN
14725	39	5	by	by	IN
14725	39	6	a	a	DT
14725	39	7	certain	certain	JJ
14725	39	8	movement	movement	NN
14725	39	9	.	.	.
14725	40	1	That	that	IN
14725	40	2	no	no	DT
14725	40	3	substance	substance	NN
14725	40	4	passes	pass	VBZ
14725	40	5	from	from	IN
14725	40	6	the	the	DT
14725	40	7	luminous	luminous	JJ
14725	40	8	object	object	NN
14725	40	9	to	to	IN
14725	40	10	the	the	DT
14725	40	11	eyes	eye	NNS
14725	40	12	.	.	.
14725	41	1	That	that	IN
14725	41	2	Light	light	NN
14725	41	3	spreads	spread	VBZ
14725	41	4	spherically	spherically	RB
14725	41	5	,	,	,
14725	41	6	almost	almost	RB
14725	41	7	as	as	IN
14725	41	8	Sound	Sound	NNP
14725	41	9	does	do	VBZ
14725	41	10	.	.	.
14725	42	1	Whether	whether	IN
14725	42	2	Light	Light	NNP
14725	42	3	takes	take	VBZ
14725	42	4	time	time	NN
14725	42	5	to	to	TO
14725	42	6	spread	spread	VB
14725	42	7	.	.	.
14725	43	1	Experience	experience	NN
14725	43	2	seeming	seeming	JJ
14725	43	3	to	to	TO
14725	43	4	prove	prove	VB
14725	43	5	that	that	IN
14725	43	6	it	-PRON-	PRP
14725	43	7	passes	pass	VBZ
14725	43	8	instantaneously	instantaneously	RB
14725	43	9	.	.	.
14725	44	1	Experience	experience	NN
14725	44	2	proving	prove	VBG
14725	44	3	that	that	IN
14725	44	4	it	-PRON-	PRP
14725	44	5	takes	take	VBZ
14725	44	6	time	time	NN
14725	44	7	.	.	.
14725	45	1	How	how	WRB
14725	45	2	much	much	JJ
14725	45	3	its	-PRON-	PRP$
14725	45	4	speed	speed	NN
14725	45	5	is	be	VBZ
14725	45	6	greater	great	JJR
14725	45	7	than	than	IN
14725	45	8	that	that	DT
14725	45	9	of	of	IN
14725	45	10	Sound	Sound	NNP
14725	45	11	.	.	.
14725	46	1	In	in	IN
14725	46	2	what	what	WP
14725	46	3	the	the	DT
14725	46	4	emission	emission	NN
14725	46	5	of	of	IN
14725	46	6	Light	Light	NNP
14725	46	7	differs	differ	VBZ
14725	46	8	from	from	IN
14725	46	9	that	that	DT
14725	46	10	of	of	IN
14725	46	11	Sound	Sound	NNP
14725	46	12	.	.	.
14725	47	1	That	that	IN
14725	47	2	it	-PRON-	PRP
14725	47	3	is	be	VBZ
14725	47	4	not	not	RB
14725	47	5	the	the	DT
14725	47	6	same	same	JJ
14725	47	7	medium	medium	NN
14725	47	8	which	which	WDT
14725	47	9	serves	serve	VBZ
14725	47	10	for	for	IN
14725	47	11	Light	Light	NNP
14725	47	12	and	and	CC
14725	47	13	Sound	Sound	NNP
14725	47	14	.	.	.
14725	48	1	How	how	WRB
14725	48	2	Sound	Sound	NNP
14725	48	3	is	be	VBZ
14725	48	4	propagated	propagate	VBN
14725	48	5	.	.	.
14725	49	1	How	how	WRB
14725	49	2	Light	Light	NNP
14725	49	3	is	be	VBZ
14725	49	4	propagated	propagate	VBN
14725	49	5	.	.	.
14725	50	1	Detailed	detailed	JJ
14725	50	2	Remarks	Remarks	NNPS
14725	50	3	on	on	IN
14725	50	4	the	the	DT
14725	50	5	propagation	propagation	NN
14725	50	6	of	of	IN
14725	50	7	Light	Light	NNP
14725	50	8	.	.	.
14725	51	1	Why	why	WRB
14725	51	2	Rays	ray	NNS
14725	51	3	are	be	VBP
14725	51	4	propagated	propagate	VBN
14725	51	5	only	only	RB
14725	51	6	in	in	IN
14725	51	7	straight	straight	JJ
14725	51	8	lines	line	NNS
14725	51	9	.	.	.
14725	52	1	How	how	WRB
14725	52	2	Light	light	JJ
14725	52	3	coming	come	VBG
14725	52	4	in	in	IN
14725	52	5	different	different	JJ
14725	52	6	directions	direction	NNS
14725	52	7	can	can	MD
14725	52	8	cross	cross	VB
14725	52	9	itself	-PRON-	PRP
14725	52	10	.	.	.
14725	53	1	CHAPTER	CHAPTER	NNP
14725	53	2	II	II	NNP
14725	53	3	.	.	.
14725	54	1	On	on	IN
14725	54	2	Reflexion	reflexion	NN
14725	54	3	.	.	.
14725	55	1	Demonstration	demonstration	NN
14725	55	2	of	of	IN
14725	55	3	equality	equality	NN
14725	55	4	of	of	IN
14725	55	5	angles	angle	NNS
14725	55	6	of	of	IN
14725	55	7	incidence	incidence	NN
14725	55	8	and	and	CC
14725	55	9	reflexion	reflexion	NN
14725	55	10	.	.	.
14725	56	1	Why	why	WRB
14725	56	2	the	the	DT
14725	56	3	incident	incident	NN
14725	56	4	and	and	CC
14725	56	5	reflected	reflect	VBN
14725	56	6	rays	ray	NNS
14725	56	7	are	be	VBP
14725	56	8	in	in	IN
14725	56	9	the	the	DT
14725	56	10	same	same	JJ
14725	56	11	plane	plane	NN
14725	56	12	perpendicular	perpendicular	JJ
14725	56	13	to	to	IN
14725	56	14	the	the	DT
14725	56	15	reflecting	reflect	VBG
14725	56	16	surface	surface	NN
14725	56	17	.	.	.
14725	57	1	That	that	IN
14725	57	2	it	-PRON-	PRP
14725	57	3	is	be	VBZ
14725	57	4	not	not	RB
14725	57	5	needful	needful	JJ
14725	57	6	for	for	IN
14725	57	7	the	the	DT
14725	57	8	reflecting	reflect	VBG
14725	57	9	surface	surface	NN
14725	57	10	to	to	TO
14725	57	11	be	be	VB
14725	57	12	perfectly	perfectly	RB
14725	57	13	flat	flat	JJ
14725	57	14	to	to	TO
14725	57	15	attain	attain	VB
14725	57	16	equality	equality	NN
14725	57	17	of	of	IN
14725	57	18	the	the	DT
14725	57	19	angles	angle	NNS
14725	57	20	of	of	IN
14725	57	21	incidence	incidence	NN
14725	57	22	and	and	CC
14725	57	23	reflexion	reflexion	NN
14725	57	24	.	.	.
14725	58	1	CHAPTER	CHAPTER	NNP
14725	58	2	III	III	NNP
14725	58	3	.	.	.
14725	59	1	On	on	IN
14725	59	2	Refraction	refraction	NN
14725	59	3	.	.	.
14725	60	1	That	that	IN
14725	60	2	bodies	body	NNS
14725	60	3	may	may	MD
14725	60	4	be	be	VB
14725	60	5	transparent	transparent	JJ
14725	60	6	without	without	IN
14725	60	7	any	any	DT
14725	60	8	substance	substance	NN
14725	60	9	passing	pass	VBG
14725	60	10	through	through	IN
14725	60	11	them	-PRON-	PRP
14725	60	12	.	.	.
14725	61	1	Proof	proof	NN
14725	61	2	that	that	IN
14725	61	3	the	the	DT
14725	61	4	ethereal	ethereal	JJ
14725	61	5	matter	matter	NN
14725	61	6	passes	pass	VBZ
14725	61	7	through	through	IN
14725	61	8	transparent	transparent	JJ
14725	61	9	bodies	body	NNS
14725	61	10	.	.	.
14725	62	1	How	how	WRB
14725	62	2	this	this	DT
14725	62	3	matter	matter	NN
14725	62	4	passing	pass	VBG
14725	62	5	through	through	RB
14725	62	6	can	can	MD
14725	62	7	render	render	VB
14725	62	8	them	-PRON-	PRP
14725	62	9	transparent	transparent	JJ
14725	62	10	.	.	.
14725	63	1	That	that	IN
14725	63	2	the	the	DT
14725	63	3	most	most	RBS
14725	63	4	solid	solid	JJ
14725	63	5	bodies	body	NNS
14725	63	6	in	in	IN
14725	63	7	appearance	appearance	NN
14725	63	8	are	be	VBP
14725	63	9	of	of	IN
14725	63	10	a	a	DT
14725	63	11	very	very	RB
14725	63	12	loose	loose	JJ
14725	63	13	texture	texture	NN
14725	63	14	.	.	.
14725	64	1	That	that	DT
14725	64	2	Light	light	NN
14725	64	3	spreads	spread	VBZ
14725	64	4	more	more	RBR
14725	64	5	slowly	slowly	RB
14725	64	6	in	in	IN
14725	64	7	water	water	NN
14725	64	8	and	and	CC
14725	64	9	in	in	IN
14725	64	10	glass	glass	NN
14725	64	11	than	than	IN
14725	64	12	in	in	IN
14725	64	13	air	air	NN
14725	64	14	.	.	.
14725	65	1	Third	third	JJ
14725	65	2	hypothesis	hypothesis	NN
14725	65	3	to	to	TO
14725	65	4	explain	explain	VB
14725	65	5	transparency	transparency	NN
14725	65	6	,	,	,
14725	65	7	and	and	CC
14725	65	8	the	the	DT
14725	65	9	retardation	retardation	NN
14725	65	10	which	which	WDT
14725	65	11	Light	light	NN
14725	65	12	suffers	suffer	VBZ
14725	65	13	.	.	.
14725	66	1	On	on	IN
14725	66	2	that	that	DT
14725	66	3	which	which	WDT
14725	66	4	makes	make	VBZ
14725	66	5	bodies	body	NNS
14725	66	6	opaque	opaque	JJ
14725	66	7	.	.	.
14725	67	1	Demonstration	demonstration	NN
14725	67	2	why	why	WRB
14725	67	3	Refraction	Refraction	NNP
14725	67	4	obeys	obey	VBZ
14725	67	5	the	the	DT
14725	67	6	known	known	JJ
14725	67	7	proportion	proportion	NN
14725	67	8	of	of	IN
14725	67	9	Sines	Sines	NNP
14725	67	10	.	.	.
14725	68	1	Why	why	WRB
14725	68	2	the	the	DT
14725	68	3	incident	incident	NN
14725	68	4	and	and	CC
14725	68	5	refracted	refract	VBN
14725	68	6	Rays	ray	NNS
14725	68	7	produce	produce	VBP
14725	68	8	one	one	CD
14725	68	9	another	another	DT
14725	68	10	reciprocally	reciprocally	RB
14725	68	11	.	.	.
14725	69	1	Why	why	WRB
14725	69	2	Reflexion	reflexion	NN
14725	69	3	within	within	IN
14725	69	4	a	a	DT
14725	69	5	triangular	triangular	JJ
14725	69	6	glass	glass	NN
14725	69	7	prism	prism	NN
14725	69	8	is	be	VBZ
14725	69	9	suddenly	suddenly	RB
14725	69	10	augmented	augment	VBN
14725	69	11	when	when	WRB
14725	69	12	the	the	DT
14725	69	13	Light	light	NN
14725	69	14	can	can	MD
14725	69	15	no	no	RB
14725	69	16	longer	long	RBR
14725	69	17	penetrate	penetrate	VB
14725	69	18	.	.	.
14725	70	1	That	that	DT
14725	70	2	bodies	body	NNS
14725	70	3	which	which	WDT
14725	70	4	cause	cause	VBP
14725	70	5	greater	great	JJR
14725	70	6	Refraction	Refraction	NNP
14725	70	7	also	also	RB
14725	70	8	cause	cause	VBP
14725	70	9	stronger	strong	JJR
14725	70	10	Reflexion	reflexion	NN
14725	70	11	.	.	.
14725	71	1	Demonstration	demonstration	NN
14725	71	2	of	of	IN
14725	71	3	the	the	DT
14725	71	4	Theorem	Theorem	NNP
14725	71	5	of	of	IN
14725	71	6	Mr.	Mr.	NNP
14725	71	7	Fermat	Fermat	NNP
14725	71	8	.	.	.
14725	72	1	CHAPTER	CHAPTER	NNP
14725	72	2	IV	IV	NNP
14725	72	3	.	.	.
14725	73	1	On	on	IN
14725	73	2	the	the	DT
14725	73	3	Refraction	Refraction	NNP
14725	73	4	of	of	IN
14725	73	5	the	the	DT
14725	73	6	Air	air	NN
14725	73	7	.	.	.
14725	74	1	That	that	IN
14725	74	2	the	the	DT
14725	74	3	emanations	emanation	NNS
14725	74	4	of	of	IN
14725	74	5	Light	light	NN
14725	74	6	in	in	IN
14725	74	7	the	the	DT
14725	74	8	air	air	NN
14725	74	9	are	be	VBP
14725	74	10	not	not	RB
14725	74	11	spherical	spherical	JJ
14725	74	12	.	.	.
14725	75	1	How	how	WRB
14725	75	2	consequently	consequently	RB
14725	75	3	some	some	DT
14725	75	4	objects	object	NNS
14725	75	5	appear	appear	VBP
14725	75	6	higher	high	JJR
14725	75	7	than	than	IN
14725	75	8	they	-PRON-	PRP
14725	75	9	are	be	VBP
14725	75	10	.	.	.
14725	76	1	How	how	WRB
14725	76	2	the	the	DT
14725	76	3	Sun	Sun	NNP
14725	76	4	may	may	MD
14725	76	5	appear	appear	VB
14725	76	6	on	on	IN
14725	76	7	the	the	DT
14725	76	8	Horizon	Horizon	NNP
14725	76	9	before	before	IN
14725	76	10	he	-PRON-	PRP
14725	76	11	has	have	VBZ
14725	76	12	risen	rise	VBN
14725	76	13	.	.	.
14725	77	1	That	that	IN
14725	77	2	the	the	DT
14725	77	3	rays	ray	NNS
14725	77	4	of	of	IN
14725	77	5	light	light	NN
14725	77	6	become	become	VBN
14725	77	7	curved	curved	JJ
14725	77	8	in	in	IN
14725	77	9	the	the	DT
14725	77	10	Air	Air	NNP
14725	77	11	of	of	IN
14725	77	12	the	the	DT
14725	77	13	Atmosphere	Atmosphere	NNP
14725	77	14	,	,	,
14725	77	15	and	and	CC
14725	77	16	what	what	WDT
14725	77	17	effects	effect	NNS
14725	77	18	this	this	DT
14725	77	19	produces	produce	VBZ
14725	77	20	.	.	.
14725	78	1	CHAPTER	CHAPTER	NNP
14725	78	2	V.	V.	NNP
14725	78	3	On	on	IN
14725	78	4	the	the	DT
14725	78	5	Strange	Strange	NNP
14725	78	6	Refraction	Refraction	NNP
14725	78	7	of	of	IN
14725	78	8	Iceland	Iceland	NNP
14725	78	9	Crystal	Crystal	NNP
14725	78	10	.	.	.
14725	79	1	That	that	IN
14725	79	2	this	this	DT
14725	79	3	Crystal	crystal	NN
14725	79	4	grows	grow	VBZ
14725	79	5	also	also	RB
14725	79	6	in	in	IN
14725	79	7	other	other	JJ
14725	79	8	countries	country	NNS
14725	79	9	.	.	.
14725	80	1	Who	who	WP
14725	80	2	first	first	RB
14725	80	3	-	-	HYPH
14725	80	4	wrote	write	VBD
14725	80	5	about	about	IN
14725	80	6	it	-PRON-	PRP
14725	80	7	.	.	.
14725	81	1	Description	description	NN
14725	81	2	of	of	IN
14725	81	3	Iceland	Iceland	NNP
14725	81	4	Crystal	Crystal	NNP
14725	81	5	;	;	:
14725	81	6	its	-PRON-	PRP$
14725	81	7	substance	substance	NN
14725	81	8	,	,	,
14725	81	9	shape	shape	NN
14725	81	10	,	,	,
14725	81	11	and	and	CC
14725	81	12	properties	property	NNS
14725	81	13	.	.	.
14725	82	1	That	that	IN
14725	82	2	it	-PRON-	PRP
14725	82	3	has	have	VBZ
14725	82	4	two	two	CD
14725	82	5	different	different	JJ
14725	82	6	Refractions	refraction	NNS
14725	82	7	.	.	.
14725	83	1	That	that	IN
14725	83	2	the	the	DT
14725	83	3	ray	ray	NN
14725	83	4	perpendicular	perpendicular	JJ
14725	83	5	to	to	IN
14725	83	6	the	the	DT
14725	83	7	surface	surface	NN
14725	83	8	suffers	suffer	VBZ
14725	83	9	refraction	refraction	NN
14725	83	10	,	,	,
14725	83	11	and	and	CC
14725	83	12	that	that	IN
14725	83	13	some	some	DT
14725	83	14	rays	ray	NNS
14725	83	15	inclined	incline	VBN
14725	83	16	to	to	IN
14725	83	17	the	the	DT
14725	83	18	surface	surface	NN
14725	83	19	pass	pass	NN
14725	83	20	without	without	IN
14725	83	21	suffering	suffer	VBG
14725	83	22	refraction	refraction	NN
14725	83	23	.	.	.
14725	84	1	Observation	observation	NN
14725	84	2	of	of	IN
14725	84	3	the	the	DT
14725	84	4	refractions	refraction	NNS
14725	84	5	in	in	IN
14725	84	6	this	this	DT
14725	84	7	Crystal	Crystal	NNP
14725	84	8	.	.	.
14725	85	1	That	that	IN
14725	85	2	there	there	EX
14725	85	3	is	be	VBZ
14725	85	4	a	a	DT
14725	85	5	Regular	Regular	NNP
14725	85	6	and	and	CC
14725	85	7	an	an	DT
14725	85	8	Irregular	Irregular	NNP
14725	85	9	Refraction	Refraction	NNP
14725	85	10	.	.	.
14725	86	1	The	the	DT
14725	86	2	way	way	NN
14725	86	3	of	of	IN
14725	86	4	measuring	measure	VBG
14725	86	5	the	the	DT
14725	86	6	two	two	CD
14725	86	7	Refractions	Refractions	NNPS
14725	86	8	of	of	IN
14725	86	9	Iceland	Iceland	NNP
14725	86	10	Crystal	Crystal	NNP
14725	86	11	.	.	.
14725	87	1	Remarkable	remarkable	JJ
14725	87	2	properties	property	NNS
14725	87	3	of	of	IN
14725	87	4	the	the	DT
14725	87	5	Irregular	Irregular	NNP
14725	87	6	Refraction	Refraction	NNP
14725	87	7	.	.	.
14725	88	1	Hypothesis	hypothesis	NN
14725	88	2	to	to	TO
14725	88	3	explain	explain	VB
14725	88	4	the	the	DT
14725	88	5	double	double	JJ
14725	88	6	Refraction	refraction	NN
14725	88	7	.	.	.
14725	89	1	That	that	IN
14725	89	2	Rock	Rock	NNP
14725	89	3	Crystal	Crystal	NNP
14725	89	4	has	have	VBZ
14725	89	5	also	also	RB
14725	89	6	a	a	DT
14725	89	7	double	double	JJ
14725	89	8	Refraction	refraction	NN
14725	89	9	.	.	.
14725	90	1	Hypothesis	hypothesis	NN
14725	90	2	of	of	IN
14725	90	3	emanations	emanation	NNS
14725	90	4	of	of	IN
14725	90	5	Light	light	NN
14725	90	6	,	,	,
14725	90	7	within	within	IN
14725	90	8	Iceland	Iceland	NNP
14725	90	9	Crystal	Crystal	NNP
14725	90	10	,	,	,
14725	90	11	of	of	IN
14725	90	12	spheroidal	spheroidal	JJ
14725	90	13	form	form	NN
14725	90	14	,	,	,
14725	90	15	for	for	IN
14725	90	16	the	the	DT
14725	90	17	Irregular	Irregular	NNP
14725	90	18	Refraction	Refraction	NNP
14725	90	19	.	.	.
14725	91	1	How	how	WRB
14725	91	2	a	a	DT
14725	91	3	perpendicular	perpendicular	JJ
14725	91	4	ray	ray	NN
14725	91	5	can	can	MD
14725	91	6	suffer	suffer	VB
14725	91	7	Refraction	refraction	NN
14725	91	8	.	.	.
14725	92	1	How	how	WRB
14725	92	2	the	the	DT
14725	92	3	position	position	NN
14725	92	4	and	and	CC
14725	92	5	form	form	NN
14725	92	6	of	of	IN
14725	92	7	the	the	DT
14725	92	8	spheroidal	spheroidal	JJ
14725	92	9	emanations	emanation	NNS
14725	92	10	in	in	IN
14725	92	11	this	this	DT
14725	92	12	Crystal	Crystal	NNP
14725	92	13	can	can	MD
14725	92	14	be	be	VB
14725	92	15	defined	define	VBN
14725	92	16	.	.	.
14725	93	1	Explanation	explanation	NN
14725	93	2	of	of	IN
14725	93	3	the	the	DT
14725	93	4	Irregular	Irregular	NNP
14725	93	5	Refraction	Refraction	NNP
14725	93	6	by	by	IN
14725	93	7	these	these	DT
14725	93	8	spheroidal	spheroidal	JJ
14725	93	9	emanations	emanation	NNS
14725	93	10	.	.	.
14725	94	1	Easy	easy	JJ
14725	94	2	way	way	NN
14725	94	3	to	to	TO
14725	94	4	find	find	VB
14725	94	5	the	the	DT
14725	94	6	Irregular	Irregular	NNP
14725	94	7	Refraction	Refraction	NNP
14725	94	8	of	of	IN
14725	94	9	each	each	DT
14725	94	10	incident	incident	NN
14725	94	11	ray	ray	NN
14725	94	12	.	.	.
14725	95	1	Demonstration	demonstration	NN
14725	95	2	of	of	IN
14725	95	3	the	the	DT
14725	95	4	oblique	oblique	JJ
14725	95	5	ray	ray	NN
14725	95	6	which	which	WDT
14725	95	7	traverses	traverse	VBZ
14725	95	8	the	the	DT
14725	95	9	Crystal	Crystal	NNP
14725	95	10	without	without	IN
14725	95	11	being	be	VBG
14725	95	12	refracted	refract	VBN
14725	95	13	.	.	.
14725	96	1	Other	other	JJ
14725	96	2	irregularities	irregularity	NNS
14725	96	3	of	of	IN
14725	96	4	Refraction	refraction	NN
14725	96	5	explained	explain	VBD
14725	96	6	.	.	.
14725	97	1	That	that	IN
14725	97	2	an	an	DT
14725	97	3	object	object	NN
14725	97	4	placed	place	VBN
14725	97	5	beneath	beneath	IN
14725	97	6	the	the	DT
14725	97	7	Crystal	Crystal	NNP
14725	97	8	appears	appear	VBZ
14725	97	9	double	double	JJ
14725	97	10	,	,	,
14725	97	11	in	in	IN
14725	97	12	two	two	CD
14725	97	13	images	image	NNS
14725	97	14	of	of	IN
14725	97	15	different	different	JJ
14725	97	16	heights	height	NNS
14725	97	17	.	.	.
14725	98	1	Why	why	WRB
14725	98	2	the	the	DT
14725	98	3	apparent	apparent	JJ
14725	98	4	heights	height	NNS
14725	98	5	of	of	IN
14725	98	6	one	one	CD
14725	98	7	of	of	IN
14725	98	8	the	the	DT
14725	98	9	images	image	NNS
14725	98	10	change	change	VBP
14725	98	11	on	on	IN
14725	98	12	changing	change	VBG
14725	98	13	the	the	DT
14725	98	14	position	position	NN
14725	98	15	of	of	IN
14725	98	16	the	the	DT
14725	98	17	eyes	eye	NNS
14725	98	18	above	above	IN
14725	98	19	the	the	DT
14725	98	20	Crystal	Crystal	NNP
14725	98	21	.	.	.
14725	99	1	Of	of	IN
14725	99	2	the	the	DT
14725	99	3	different	different	JJ
14725	99	4	sections	section	NNS
14725	99	5	of	of	IN
14725	99	6	this	this	DT
14725	99	7	Crystal	Crystal	NNP
14725	99	8	which	which	WDT
14725	99	9	produce	produce	VBP
14725	99	10	yet	yet	RB
14725	99	11	other	other	JJ
14725	99	12	refractions	refraction	NNS
14725	99	13	,	,	,
14725	99	14	and	and	CC
14725	99	15	confirm	confirm	VB
14725	99	16	all	all	PDT
14725	99	17	this	this	DT
14725	99	18	Theory	Theory	NNP
14725	99	19	.	.	.
14725	100	1	Particular	particular	JJ
14725	100	2	way	way	NN
14725	100	3	of	of	IN
14725	100	4	polishing	polish	VBG
14725	100	5	the	the	DT
14725	100	6	surfaces	surface	NNS
14725	100	7	after	after	IN
14725	100	8	it	-PRON-	PRP
14725	100	9	has	have	VBZ
14725	100	10	been	be	VBN
14725	100	11	cut	cut	VBN
14725	100	12	.	.	.
14725	101	1	Surprising	surprising	JJ
14725	101	2	phenomenon	phenomenon	NN
14725	101	3	touching	touch	VBG
14725	101	4	the	the	DT
14725	101	5	rays	ray	NNS
14725	101	6	which	which	WDT
14725	101	7	pass	pass	VBP
14725	101	8	through	through	RP
14725	101	9	two	two	CD
14725	101	10	separated	separated	JJ
14725	101	11	pieces	piece	NNS
14725	101	12	;	;	:
14725	101	13	the	the	DT
14725	101	14	cause	cause	NN
14725	101	15	of	of	IN
14725	101	16	which	which	WDT
14725	101	17	is	be	VBZ
14725	101	18	not	not	RB
14725	101	19	explained	explain	VBN
14725	101	20	.	.	.
14725	102	1	Probable	probable	JJ
14725	102	2	conjecture	conjecture	NN
14725	102	3	on	on	IN
14725	102	4	the	the	DT
14725	102	5	internal	internal	JJ
14725	102	6	composition	composition	NN
14725	102	7	of	of	IN
14725	102	8	Iceland	Iceland	NNP
14725	102	9	Crystal	Crystal	NNP
14725	102	10	,	,	,
14725	102	11	and	and	CC
14725	102	12	of	of	IN
14725	102	13	what	what	WP
14725	102	14	figure	figure	NN
14725	102	15	its	-PRON-	PRP$
14725	102	16	particles	particle	NNS
14725	102	17	are	be	VBP
14725	102	18	.	.	.
14725	103	1	Tests	test	NNS
14725	103	2	to	to	TO
14725	103	3	confirm	confirm	VB
14725	103	4	this	this	DT
14725	103	5	conjecture	conjecture	NN
14725	103	6	.	.	.
14725	104	1	Calculations	calculation	NNS
14725	104	2	which	which	WDT
14725	104	3	have	have	VBP
14725	104	4	been	be	VBN
14725	104	5	supposed	suppose	VBN
14725	104	6	in	in	IN
14725	104	7	this	this	DT
14725	104	8	Chapter	chapter	NN
14725	104	9	.	.	.
14725	105	1	CHAPTER	CHAPTER	NNP
14725	105	2	VI	VI	NNP
14725	105	3	.	.	.
14725	106	1	On	on	IN
14725	106	2	the	the	DT
14725	106	3	Figures	figure	NNS
14725	106	4	of	of	IN
14725	106	5	transparent	transparent	JJ
14725	106	6	bodies	body	NNS
14725	106	7	which	which	WDT
14725	106	8	serve	serve	VBP
14725	106	9	for	for	IN
14725	106	10	Refraction	refraction	NN
14725	106	11	and	and	CC
14725	106	12	for	for	IN
14725	106	13	Reflexion	reflexion	NN
14725	106	14	.	.	.
14725	107	1	General	general	JJ
14725	107	2	and	and	CC
14725	107	3	easy	easy	JJ
14725	107	4	rule	rule	NN
14725	107	5	to	to	TO
14725	107	6	find	find	VB
14725	107	7	these	these	DT
14725	107	8	Figures	figure	NNS
14725	107	9	.	.	.
14725	108	1	Invention	invention	NN
14725	108	2	of	of	IN
14725	108	3	the	the	DT
14725	108	4	Ovals	Ovals	NNP
14725	108	5	of	of	IN
14725	108	6	Mr.	Mr.	NNP
14725	108	7	Des	Des	NNP
14725	108	8	Cartes	Cartes	NNP
14725	108	9	for	for	IN
14725	108	10	Dioptrics	Dioptrics	NNP
14725	108	11	.	.	.
14725	109	1	How	how	WRB
14725	109	2	he	-PRON-	PRP
14725	109	3	was	be	VBD
14725	109	4	able	able	JJ
14725	109	5	to	to	TO
14725	109	6	find	find	VB
14725	109	7	these	these	DT
14725	109	8	Lines	line	NNS
14725	109	9	.	.	.
14725	110	1	Way	way	NN
14725	110	2	of	of	IN
14725	110	3	finding	find	VBG
14725	110	4	the	the	DT
14725	110	5	surface	surface	NN
14725	110	6	of	of	IN
14725	110	7	a	a	DT
14725	110	8	glass	glass	NN
14725	110	9	for	for	IN
14725	110	10	perfect	perfect	JJ
14725	110	11	refraction	refraction	NN
14725	110	12	,	,	,
14725	110	13	when	when	WRB
14725	110	14	the	the	DT
14725	110	15	other	other	JJ
14725	110	16	surface	surface	NN
14725	110	17	is	be	VBZ
14725	110	18	given	give	VBN
14725	110	19	.	.	.
14725	111	1	Remark	remark	VB
14725	111	2	on	on	IN
14725	111	3	what	what	WP
14725	111	4	happens	happen	VBZ
14725	111	5	to	to	IN
14725	111	6	rays	ray	NNS
14725	111	7	refracted	refract	VBN
14725	111	8	at	at	IN
14725	111	9	a	a	DT
14725	111	10	spherical	spherical	JJ
14725	111	11	surface	surface	NN
14725	111	12	.	.	.
14725	112	1	Remark	Remark	NNP
14725	112	2	on	on	IN
14725	112	3	the	the	DT
14725	112	4	curved	curved	JJ
14725	112	5	line	line	NN
14725	112	6	which	which	WDT
14725	112	7	is	be	VBZ
14725	112	8	formed	form	VBN
14725	112	9	by	by	IN
14725	112	10	reflexion	reflexion	NN
14725	112	11	in	in	IN
14725	112	12	a	a	DT
14725	112	13	spherical	spherical	JJ
14725	112	14	concave	concave	NNP
14725	112	15	mirror	mirror	NN
14725	112	16	.	.	.
14725	113	1	CHAPTER	chapter	NN
14725	113	2	I	-PRON-	PRP
14725	113	3	ON	on	VBP
14725	113	4	RAYS	ray	NNS
14725	113	5	PROPAGATED	propagate	VBN
14725	113	6	IN	in	IN
14725	113	7	STRAIGHT	straight	JJ
14725	113	8	LINES	LINES	NNP
14725	113	9	As	as	IN
14725	113	10	happens	happen	VBZ
14725	113	11	in	in	IN
14725	113	12	all	all	PDT
14725	113	13	the	the	DT
14725	113	14	sciences	science	NNS
14725	113	15	in	in	IN
14725	113	16	which	which	WDT
14725	113	17	Geometry	Geometry	NNP
14725	113	18	is	be	VBZ
14725	113	19	applied	apply	VBN
14725	113	20	to	to	IN
14725	113	21	matter	matter	NN
14725	113	22	,	,	,
14725	113	23	the	the	DT
14725	113	24	demonstrations	demonstration	NNS
14725	113	25	concerning	concern	VBG
14725	113	26	Optics	optic	NNS
14725	113	27	are	be	VBP
14725	113	28	founded	found	VBN
14725	113	29	on	on	IN
14725	113	30	truths	truth	NNS
14725	113	31	drawn	draw	VBN
14725	113	32	from	from	IN
14725	113	33	experience	experience	NN
14725	113	34	.	.	.
14725	114	1	Such	such	JJ
14725	114	2	are	be	VBP
14725	114	3	that	that	IN
14725	114	4	the	the	DT
14725	114	5	rays	ray	NNS
14725	114	6	of	of	IN
14725	114	7	light	light	NN
14725	114	8	are	be	VBP
14725	114	9	propagated	propagate	VBN
14725	114	10	in	in	IN
14725	114	11	straight	straight	JJ
14725	114	12	lines	line	NNS
14725	114	13	;	;	:
14725	114	14	that	that	IN
14725	114	15	the	the	DT
14725	114	16	angles	angle	NNS
14725	114	17	of	of	IN
14725	114	18	reflexion	reflexion	NN
14725	114	19	and	and	CC
14725	114	20	of	of	IN
14725	114	21	incidence	incidence	NN
14725	114	22	are	be	VBP
14725	114	23	equal	equal	JJ
14725	114	24	;	;	:
14725	114	25	and	and	CC
14725	114	26	that	that	IN
14725	114	27	in	in	IN
14725	114	28	refraction	refraction	NN
14725	114	29	the	the	DT
14725	114	30	ray	ray	NN
14725	114	31	is	be	VBZ
14725	114	32	bent	bent	JJ
14725	114	33	according	accord	VBG
14725	114	34	to	to	IN
14725	114	35	the	the	DT
14725	114	36	law	law	NN
14725	114	37	of	of	IN
14725	114	38	sines	sine	NNS
14725	114	39	,	,	,
14725	114	40	now	now	RB
14725	114	41	so	so	RB
14725	114	42	well	well	RB
14725	114	43	known	known	JJ
14725	114	44	,	,	,
14725	114	45	and	and	CC
14725	114	46	which	which	WDT
14725	114	47	is	be	VBZ
14725	114	48	no	no	DT
14725	114	49	less	less	RBR
14725	114	50	certain	certain	JJ
14725	114	51	than	than	IN
14725	114	52	the	the	DT
14725	114	53	preceding	precede	VBG
14725	114	54	laws	law	NNS
14725	114	55	.	.	.
14725	115	1	The	the	DT
14725	115	2	majority	majority	NN
14725	115	3	of	of	IN
14725	115	4	those	those	DT
14725	115	5	who	who	WP
14725	115	6	have	have	VBP
14725	115	7	written	write	VBN
14725	115	8	touching	touch	VBG
14725	115	9	the	the	DT
14725	115	10	various	various	JJ
14725	115	11	parts	part	NNS
14725	115	12	of	of	IN
14725	115	13	Optics	optic	NNS
14725	115	14	have	have	VBP
14725	115	15	contented	content	VBN
14725	115	16	themselves	-PRON-	PRP
14725	115	17	with	with	IN
14725	115	18	presuming	presume	VBG
14725	115	19	these	these	DT
14725	115	20	truths	truth	NNS
14725	115	21	.	.	.
14725	116	1	But	but	CC
14725	116	2	some	some	DT
14725	116	3	,	,	,
14725	116	4	more	more	RBR
14725	116	5	inquiring	inquiring	JJ
14725	116	6	,	,	,
14725	116	7	have	have	VBP
14725	116	8	desired	desire	VBN
14725	116	9	to	to	TO
14725	116	10	investigate	investigate	VB
14725	116	11	the	the	DT
14725	116	12	origin	origin	NN
14725	116	13	and	and	CC
14725	116	14	the	the	DT
14725	116	15	causes	cause	NNS
14725	116	16	,	,	,
14725	116	17	considering	consider	VBG
14725	116	18	these	these	DT
14725	116	19	to	to	TO
14725	116	20	be	be	VB
14725	116	21	in	in	IN
14725	116	22	themselves	-PRON-	PRP
14725	116	23	wonderful	wonderful	JJ
14725	116	24	effects	effect	NNS
14725	116	25	of	of	IN
14725	116	26	Nature	nature	NN
14725	116	27	.	.	.
14725	117	1	In	in	IN
14725	117	2	which	which	WDT
14725	117	3	they	-PRON-	PRP
14725	117	4	advanced	advance	VBD
14725	117	5	some	some	DT
14725	117	6	ingenious	ingenious	JJ
14725	117	7	things	thing	NNS
14725	117	8	,	,	,
14725	117	9	but	but	CC
14725	117	10	not	not	RB
14725	117	11	however	however	RB
14725	117	12	such	such	JJ
14725	117	13	that	that	IN
14725	117	14	the	the	DT
14725	117	15	most	most	RBS
14725	117	16	intelligent	intelligent	JJ
14725	117	17	folk	folk	NN
14725	117	18	do	do	VBP
14725	117	19	not	not	RB
14725	117	20	wish	wish	VB
14725	117	21	for	for	IN
14725	117	22	better	well	JJR
14725	117	23	and	and	CC
14725	117	24	more	more	JJR
14725	117	25	satisfactory	satisfactory	JJ
14725	117	26	explanations	explanation	NNS
14725	117	27	.	.	.
14725	118	1	Wherefore	Wherefore	VBN
14725	118	2	I	-PRON-	PRP
14725	118	3	here	here	RB
14725	118	4	desire	desire	VBP
14725	118	5	to	to	TO
14725	118	6	propound	propound	VB
14725	118	7	what	what	WP
14725	118	8	I	-PRON-	PRP
14725	118	9	have	have	VBP
14725	118	10	meditated	meditate	VBN
14725	118	11	on	on	IN
14725	118	12	the	the	DT
14725	118	13	subject	subject	NN
14725	118	14	,	,	,
14725	118	15	so	so	IN
14725	118	16	as	as	IN
14725	118	17	to	to	TO
14725	118	18	contribute	contribute	VB
14725	118	19	as	as	RB
14725	118	20	much	much	JJ
14725	118	21	as	as	IN
14725	118	22	I	-PRON-	PRP
14725	118	23	can	can	MD
14725	118	24	to	to	IN
14725	118	25	the	the	DT
14725	118	26	explanation	explanation	NN
14725	118	27	of	of	IN
14725	118	28	this	this	DT
14725	118	29	department	department	NN
14725	118	30	of	of	IN
14725	118	31	Natural	Natural	NNP
14725	118	32	Science	Science	NNP
14725	118	33	,	,	,
14725	118	34	which	which	WDT
14725	118	35	,	,	,
14725	118	36	not	not	RB
14725	118	37	without	without	IN
14725	118	38	reason	reason	NN
14725	118	39	,	,	,
14725	118	40	is	be	VBZ
14725	118	41	reputed	repute	VBN
14725	118	42	to	to	TO
14725	118	43	be	be	VB
14725	118	44	one	one	CD
14725	118	45	of	of	IN
14725	118	46	its	-PRON-	PRP$
14725	118	47	most	most	RBS
14725	118	48	difficult	difficult	JJ
14725	118	49	parts	part	NNS
14725	118	50	.	.	.
14725	119	1	I	-PRON-	PRP
14725	119	2	recognize	recognize	VBP
14725	119	3	myself	-PRON-	PRP
14725	119	4	to	to	TO
14725	119	5	be	be	VB
14725	119	6	much	much	RB
14725	119	7	indebted	indebte	VBN
14725	119	8	to	to	IN
14725	119	9	those	those	DT
14725	119	10	who	who	WP
14725	119	11	were	be	VBD
14725	119	12	the	the	DT
14725	119	13	first	first	JJ
14725	119	14	to	to	TO
14725	119	15	begin	begin	VB
14725	119	16	to	to	TO
14725	119	17	dissipate	dissipate	VB
14725	119	18	the	the	DT
14725	119	19	strange	strange	JJ
14725	119	20	obscurity	obscurity	NN
14725	119	21	in	in	IN
14725	119	22	which	which	WDT
14725	119	23	these	these	DT
14725	119	24	things	thing	NNS
14725	119	25	were	be	VBD
14725	119	26	enveloped	envelop	VBN
14725	119	27	,	,	,
14725	119	28	and	and	CC
14725	119	29	to	to	TO
14725	119	30	give	give	VB
14725	119	31	us	-PRON-	PRP
14725	119	32	hope	hope	NN
14725	119	33	that	that	IN
14725	119	34	they	-PRON-	PRP
14725	119	35	might	may	MD
14725	119	36	be	be	VB
14725	119	37	explained	explain	VBN
14725	119	38	by	by	IN
14725	119	39	intelligible	intelligible	JJ
14725	119	40	reasoning	reasoning	NN
14725	119	41	.	.	.
14725	120	1	But	but	CC
14725	120	2	,	,	,
14725	120	3	on	on	IN
14725	120	4	the	the	DT
14725	120	5	other	other	JJ
14725	120	6	hand	hand	NN
14725	120	7	I	-PRON-	PRP
14725	120	8	am	be	VBP
14725	120	9	astonished	astonish	VBN
14725	120	10	also	also	RB
14725	120	11	that	that	IN
14725	120	12	even	even	RB
14725	120	13	here	here	RB
14725	120	14	these	these	DT
14725	120	15	have	have	VBP
14725	120	16	often	often	RB
14725	120	17	been	be	VBN
14725	120	18	willing	willing	JJ
14725	120	19	to	to	TO
14725	120	20	offer	offer	VB
14725	120	21	,	,	,
14725	120	22	as	as	IN
14725	120	23	assured	assured	JJ
14725	120	24	and	and	CC
14725	120	25	demonstrative	demonstrative	JJ
14725	120	26	,	,	,
14725	120	27	reasonings	reasoning	NNS
14725	120	28	which	which	WDT
14725	120	29	were	be	VBD
14725	120	30	far	far	RB
14725	120	31	from	from	IN
14725	120	32	conclusive	conclusive	JJ
14725	120	33	.	.	.
14725	121	1	For	for	IN
14725	121	2	I	-PRON-	PRP
14725	121	3	do	do	VBP
14725	121	4	not	not	RB
14725	121	5	find	find	VB
14725	121	6	that	that	IN
14725	121	7	any	any	DT
14725	121	8	one	one	NN
14725	121	9	has	have	VBZ
14725	121	10	yet	yet	RB
14725	121	11	given	give	VBN
14725	121	12	a	a	DT
14725	121	13	probable	probable	JJ
14725	121	14	explanation	explanation	NN
14725	121	15	of	of	IN
14725	121	16	the	the	DT
14725	121	17	first	first	JJ
14725	121	18	and	and	CC
14725	121	19	most	most	RBS
14725	121	20	notable	notable	JJ
14725	121	21	phenomena	phenomenon	NNS
14725	121	22	of	of	IN
14725	121	23	light	light	NN
14725	121	24	,	,	,
14725	121	25	namely	namely	RB
14725	121	26	why	why	WRB
14725	121	27	it	-PRON-	PRP
14725	121	28	is	be	VBZ
14725	121	29	not	not	RB
14725	121	30	propagated	propagate	VBN
14725	121	31	except	except	IN
14725	121	32	in	in	IN
14725	121	33	straight	straight	JJ
14725	121	34	lines	line	NNS
14725	121	35	,	,	,
14725	121	36	and	and	CC
14725	121	37	how	how	WRB
14725	121	38	visible	visible	JJ
14725	121	39	rays	ray	NNS
14725	121	40	,	,	,
14725	121	41	coming	come	VBG
14725	121	42	from	from	IN
14725	121	43	an	an	DT
14725	121	44	infinitude	infinitude	NN
14725	121	45	of	of	IN
14725	121	46	diverse	diverse	JJ
14725	121	47	places	place	NNS
14725	121	48	,	,	,
14725	121	49	cross	cross	VB
14725	121	50	one	one	CD
14725	121	51	another	another	DT
14725	121	52	without	without	IN
14725	121	53	hindering	hinder	VBG
14725	121	54	one	one	PRP
14725	121	55	another	another	DT
14725	121	56	in	in	IN
14725	121	57	any	any	DT
14725	121	58	way	way	NN
14725	121	59	.	.	.
14725	122	1	I	-PRON-	PRP
14725	122	2	shall	shall	MD
14725	122	3	therefore	therefore	RB
14725	122	4	essay	essay	VB
14725	122	5	in	in	IN
14725	122	6	this	this	DT
14725	122	7	book	book	NN
14725	122	8	,	,	,
14725	122	9	to	to	TO
14725	122	10	give	give	VB
14725	122	11	,	,	,
14725	122	12	in	in	IN
14725	122	13	accordance	accordance	NN
14725	122	14	with	with	IN
14725	122	15	the	the	DT
14725	122	16	principles	principle	NNS
14725	122	17	accepted	accept	VBN
14725	122	18	in	in	IN
14725	122	19	the	the	DT
14725	122	20	Philosophy	Philosophy	NNP
14725	122	21	of	of	IN
14725	122	22	the	the	DT
14725	122	23	present	present	JJ
14725	122	24	day	day	NN
14725	122	25	,	,	,
14725	122	26	some	some	DT
14725	122	27	clearer	clear	JJR
14725	122	28	and	and	CC
14725	122	29	more	more	RBR
14725	122	30	probable	probable	JJ
14725	122	31	reasons	reason	NNS
14725	122	32	,	,	,
14725	122	33	firstly	firstly	RB
14725	122	34	of	of	IN
14725	122	35	these	these	DT
14725	122	36	properties	property	NNS
14725	122	37	of	of	IN
14725	122	38	light	light	NN
14725	122	39	propagated	propagate	VBN
14725	122	40	rectilinearly	rectilinearly	RB
14725	122	41	;	;	:
14725	122	42	secondly	secondly	RB
14725	122	43	of	of	IN
14725	122	44	light	light	NN
14725	122	45	which	which	WDT
14725	122	46	is	be	VBZ
14725	122	47	reflected	reflect	VBN
14725	122	48	on	on	IN
14725	122	49	meeting	meet	VBG
14725	122	50	other	other	JJ
14725	122	51	bodies	body	NNS
14725	122	52	.	.	.
14725	123	1	Then	then	RB
14725	123	2	I	-PRON-	PRP
14725	123	3	shall	shall	MD
14725	123	4	explain	explain	VB
14725	123	5	the	the	DT
14725	123	6	phenomena	phenomenon	NNS
14725	123	7	of	of	IN
14725	123	8	those	those	DT
14725	123	9	rays	ray	NNS
14725	123	10	which	which	WDT
14725	123	11	are	be	VBP
14725	123	12	said	say	VBN
14725	123	13	to	to	TO
14725	123	14	suffer	suffer	VB
14725	123	15	refraction	refraction	NN
14725	123	16	on	on	IN
14725	123	17	passing	pass	VBG
14725	123	18	through	through	IN
14725	123	19	transparent	transparent	JJ
14725	123	20	bodies	body	NNS
14725	123	21	of	of	IN
14725	123	22	different	different	JJ
14725	123	23	sorts	sort	NNS
14725	123	24	;	;	:
14725	123	25	and	and	CC
14725	123	26	in	in	IN
14725	123	27	this	this	DT
14725	123	28	part	part	NN
14725	123	29	I	-PRON-	PRP
14725	123	30	shall	shall	MD
14725	123	31	also	also	RB
14725	123	32	explain	explain	VB
14725	123	33	the	the	DT
14725	123	34	effects	effect	NNS
14725	123	35	of	of	IN
14725	123	36	the	the	DT
14725	123	37	refraction	refraction	NN
14725	123	38	of	of	IN
14725	123	39	the	the	DT
14725	123	40	air	air	NN
14725	123	41	by	by	IN
14725	123	42	the	the	DT
14725	123	43	different	different	JJ
14725	123	44	densities	density	NNS
14725	123	45	of	of	IN
14725	123	46	the	the	DT
14725	123	47	Atmosphere	Atmosphere	NNP
14725	123	48	.	.	.
14725	124	1	Thereafter	thereafter	RB
14725	124	2	I	-PRON-	PRP
14725	124	3	shall	shall	MD
14725	124	4	examine	examine	VB
14725	124	5	the	the	DT
14725	124	6	causes	cause	NNS
14725	124	7	of	of	IN
14725	124	8	the	the	DT
14725	124	9	strange	strange	JJ
14725	124	10	refraction	refraction	NN
14725	124	11	of	of	IN
14725	124	12	a	a	DT
14725	124	13	certain	certain	JJ
14725	124	14	kind	kind	NN
14725	124	15	of	of	IN
14725	124	16	Crystal	crystal	NN
14725	124	17	which	which	WDT
14725	124	18	is	be	VBZ
14725	124	19	brought	bring	VBN
14725	124	20	from	from	IN
14725	124	21	Iceland	Iceland	NNP
14725	124	22	.	.	.
14725	125	1	And	and	CC
14725	125	2	finally	finally	RB
14725	125	3	I	-PRON-	PRP
14725	125	4	shall	shall	MD
14725	125	5	treat	treat	VB
14725	125	6	of	of	IN
14725	125	7	the	the	DT
14725	125	8	various	various	JJ
14725	125	9	shapes	shape	NNS
14725	125	10	of	of	IN
14725	125	11	transparent	transparent	NN
14725	125	12	and	and	CC
14725	125	13	reflecting	reflect	VBG
14725	125	14	bodies	body	NNS
14725	125	15	by	by	IN
14725	125	16	which	which	WDT
14725	125	17	rays	ray	NNS
14725	125	18	are	be	VBP
14725	125	19	collected	collect	VBN
14725	125	20	at	at	IN
14725	125	21	a	a	DT
14725	125	22	point	point	NN
14725	125	23	or	or	CC
14725	125	24	are	be	VBP
14725	125	25	turned	turn	VBN
14725	125	26	aside	aside	RB
14725	125	27	in	in	IN
14725	125	28	various	various	JJ
14725	125	29	ways	way	NNS
14725	125	30	.	.	.
14725	126	1	From	from	IN
14725	126	2	this	this	DT
14725	126	3	it	-PRON-	PRP
14725	126	4	will	will	MD
14725	126	5	be	be	VB
14725	126	6	seen	see	VBN
14725	126	7	with	with	IN
14725	126	8	what	what	WDT
14725	126	9	facility	facility	NN
14725	126	10	,	,	,
14725	126	11	following	follow	VBG
14725	126	12	our	-PRON-	PRP$
14725	126	13	new	new	JJ
14725	126	14	Theory	Theory	NNP
14725	126	15	,	,	,
14725	126	16	we	-PRON-	PRP
14725	126	17	find	find	VBP
14725	126	18	not	not	RB
14725	126	19	only	only	RB
14725	126	20	the	the	DT
14725	126	21	Ellipses	Ellipses	NNP
14725	126	22	,	,	,
14725	126	23	Hyperbolas	Hyperbolas	NNP
14725	126	24	,	,	,
14725	126	25	and	and	CC
14725	126	26	other	other	JJ
14725	126	27	curves	curve	NNS
14725	126	28	which	which	WDT
14725	126	29	Mr.	Mr.	NNP
14725	126	30	Des	Des	NNP
14725	126	31	Cartes	Cartes	NNP
14725	126	32	has	have	VBZ
14725	126	33	ingeniously	ingeniously	RB
14725	126	34	invented	invent	VBN
14725	126	35	for	for	IN
14725	126	36	this	this	DT
14725	126	37	purpose	purpose	NN
14725	126	38	;	;	:
14725	126	39	but	but	CC
14725	126	40	also	also	RB
14725	126	41	those	those	DT
14725	126	42	which	which	WDT
14725	126	43	the	the	DT
14725	126	44	surface	surface	NN
14725	126	45	of	of	IN
14725	126	46	a	a	DT
14725	126	47	glass	glass	NN
14725	126	48	lens	lens	NN
14725	126	49	ought	ought	MD
14725	126	50	to	to	TO
14725	126	51	possess	possess	VB
14725	126	52	when	when	WRB
14725	126	53	its	-PRON-	PRP$
14725	126	54	other	other	JJ
14725	126	55	surface	surface	NN
14725	126	56	is	be	VBZ
14725	126	57	given	give	VBN
14725	126	58	as	as	RB
14725	126	59	spherical	spherical	JJ
14725	126	60	or	or	CC
14725	126	61	plane	plane	NN
14725	126	62	,	,	,
14725	126	63	or	or	CC
14725	126	64	of	of	IN
14725	126	65	any	any	DT
14725	126	66	other	other	JJ
14725	126	67	figure	figure	NN
14725	126	68	that	that	WDT
14725	126	69	may	may	MD
14725	126	70	be	be	VB
14725	126	71	.	.	.
14725	127	1	It	-PRON-	PRP
14725	127	2	is	be	VBZ
14725	127	3	inconceivable	inconceivable	JJ
14725	127	4	to	to	TO
14725	127	5	doubt	doubt	VB
14725	127	6	that	that	IN
14725	127	7	light	light	NN
14725	127	8	consists	consist	VBZ
14725	127	9	in	in	IN
14725	127	10	the	the	DT
14725	127	11	motion	motion	NN
14725	127	12	of	of	IN
14725	127	13	some	some	DT
14725	127	14	sort	sort	NN
14725	127	15	of	of	IN
14725	127	16	matter	matter	NN
14725	127	17	.	.	.
14725	128	1	For	for	IN
14725	128	2	whether	whether	IN
14725	128	3	one	one	NN
14725	128	4	considers	consider	VBZ
14725	128	5	its	-PRON-	PRP$
14725	128	6	production	production	NN
14725	128	7	,	,	,
14725	128	8	one	one	NN
14725	128	9	sees	see	VBZ
14725	128	10	that	that	IN
14725	128	11	here	here	RB
14725	128	12	upon	upon	IN
14725	128	13	the	the	DT
14725	128	14	Earth	Earth	NNP
14725	128	15	it	-PRON-	PRP
14725	128	16	is	be	VBZ
14725	128	17	chiefly	chiefly	RB
14725	128	18	engendered	engender	VBN
14725	128	19	by	by	IN
14725	128	20	fire	fire	NN
14725	128	21	and	and	CC
14725	128	22	flame	flame	NN
14725	128	23	which	which	WDT
14725	128	24	contain	contain	VBP
14725	128	25	without	without	IN
14725	128	26	doubt	doubt	NN
14725	128	27	bodies	body	NNS
14725	128	28	that	that	WDT
14725	128	29	are	be	VBP
14725	128	30	in	in	IN
14725	128	31	rapid	rapid	JJ
14725	128	32	motion	motion	NN
14725	128	33	,	,	,
14725	128	34	since	since	IN
14725	128	35	they	-PRON-	PRP
14725	128	36	dissolve	dissolve	VBP
14725	128	37	and	and	CC
14725	128	38	melt	melt	VBP
14725	128	39	many	many	JJ
14725	128	40	other	other	JJ
14725	128	41	bodies	body	NNS
14725	128	42	,	,	,
14725	128	43	even	even	RB
14725	128	44	the	the	DT
14725	128	45	most	most	RBS
14725	128	46	solid	solid	JJ
14725	128	47	;	;	:
14725	128	48	or	or	CC
14725	128	49	whether	whether	IN
14725	128	50	one	one	NN
14725	128	51	considers	consider	VBZ
14725	128	52	its	-PRON-	PRP$
14725	128	53	effects	effect	NNS
14725	128	54	,	,	,
14725	128	55	one	one	PRP
14725	128	56	sees	see	VBZ
14725	128	57	that	that	IN
14725	128	58	when	when	WRB
14725	128	59	light	light	NN
14725	128	60	is	be	VBZ
14725	128	61	collected	collect	VBN
14725	128	62	,	,	,
14725	128	63	as	as	IN
14725	128	64	by	by	IN
14725	128	65	concave	concave	NNP
14725	128	66	mirrors	mirror	NNS
14725	128	67	,	,	,
14725	128	68	it	-PRON-	PRP
14725	128	69	has	have	VBZ
14725	128	70	the	the	DT
14725	128	71	property	property	NN
14725	128	72	of	of	IN
14725	128	73	burning	burn	VBG
14725	128	74	as	as	IN
14725	128	75	a	a	DT
14725	128	76	fire	fire	NN
14725	128	77	does	do	VBZ
14725	128	78	,	,	,
14725	128	79	that	that	DT
14725	128	80	is	be	VBZ
14725	128	81	to	to	TO
14725	128	82	say	say	VB
14725	128	83	it	-PRON-	PRP
14725	128	84	disunites	disunite	VBZ
14725	128	85	the	the	DT
14725	128	86	particles	particle	NNS
14725	128	87	of	of	IN
14725	128	88	bodies	body	NNS
14725	128	89	.	.	.
14725	129	1	This	this	DT
14725	129	2	is	be	VBZ
14725	129	3	assuredly	assuredly	RB
14725	129	4	the	the	DT
14725	129	5	mark	mark	NN
14725	129	6	of	of	IN
14725	129	7	motion	motion	NN
14725	129	8	,	,	,
14725	129	9	at	at	IN
14725	129	10	least	least	JJS
14725	129	11	in	in	IN
14725	129	12	the	the	DT
14725	129	13	true	true	JJ
14725	129	14	Philosophy	Philosophy	NNP
14725	129	15	,	,	,
14725	129	16	in	in	IN
14725	129	17	which	which	WDT
14725	129	18	one	one	NN
14725	129	19	conceives	conceive	VBZ
14725	129	20	the	the	DT
14725	129	21	causes	cause	NNS
14725	129	22	of	of	IN
14725	129	23	all	all	DT
14725	129	24	natural	natural	JJ
14725	129	25	effects	effect	NNS
14725	129	26	in	in	IN
14725	129	27	terms	term	NNS
14725	129	28	of	of	IN
14725	129	29	mechanical	mechanical	JJ
14725	129	30	motions	motion	NNS
14725	129	31	.	.	.
14725	130	1	This	this	DT
14725	130	2	,	,	,
14725	130	3	in	in	IN
14725	130	4	my	-PRON-	PRP$
14725	130	5	opinion	opinion	NN
14725	130	6	,	,	,
14725	130	7	we	-PRON-	PRP
14725	130	8	must	must	MD
14725	130	9	necessarily	necessarily	RB
14725	130	10	do	do	VB
14725	130	11	,	,	,
14725	130	12	or	or	CC
14725	130	13	else	else	RB
14725	130	14	renounce	renounce	VB
14725	130	15	all	all	DT
14725	130	16	hopes	hope	NNS
14725	130	17	of	of	IN
14725	130	18	ever	ever	RB
14725	130	19	comprehending	comprehend	VBG
14725	130	20	anything	anything	NN
14725	130	21	in	in	IN
14725	130	22	Physics	Physics	NNP
14725	130	23	.	.	.
14725	131	1	And	and	CC
14725	131	2	as	as	IN
14725	131	3	,	,	,
14725	131	4	according	accord	VBG
14725	131	5	to	to	IN
14725	131	6	this	this	DT
14725	131	7	Philosophy	Philosophy	NNP
14725	131	8	,	,	,
14725	131	9	one	one	NN
14725	131	10	holds	hold	VBZ
14725	131	11	as	as	RB
14725	131	12	certain	certain	JJ
14725	131	13	that	that	IN
14725	131	14	the	the	DT
14725	131	15	sensation	sensation	NN
14725	131	16	of	of	IN
14725	131	17	sight	sight	NN
14725	131	18	is	be	VBZ
14725	131	19	excited	excite	VBN
14725	131	20	only	only	RB
14725	131	21	by	by	IN
14725	131	22	the	the	DT
14725	131	23	impression	impression	NN
14725	131	24	of	of	IN
14725	131	25	some	some	DT
14725	131	26	movement	movement	NN
14725	131	27	of	of	IN
14725	131	28	a	a	DT
14725	131	29	kind	kind	NN
14725	131	30	of	of	IN
14725	131	31	matter	matter	NN
14725	131	32	which	which	WDT
14725	131	33	acts	act	VBZ
14725	131	34	on	on	IN
14725	131	35	the	the	DT
14725	131	36	nerves	nerve	NNS
14725	131	37	at	at	IN
14725	131	38	the	the	DT
14725	131	39	back	back	NN
14725	131	40	of	of	IN
14725	131	41	our	-PRON-	PRP$
14725	131	42	eyes	eye	NNS
14725	131	43	,	,	,
14725	131	44	there	there	EX
14725	131	45	is	be	VBZ
14725	131	46	here	here	RB
14725	131	47	yet	yet	RB
14725	131	48	one	one	CD
14725	131	49	reason	reason	NN
14725	131	50	more	more	RBR
14725	131	51	for	for	IN
14725	131	52	believing	believe	VBG
14725	131	53	that	that	DT
14725	131	54	light	light	NN
14725	131	55	consists	consist	VBZ
14725	131	56	in	in	IN
14725	131	57	a	a	DT
14725	131	58	movement	movement	NN
14725	131	59	of	of	IN
14725	131	60	the	the	DT
14725	131	61	matter	matter	NN
14725	131	62	which	which	WDT
14725	131	63	exists	exist	VBZ
14725	131	64	between	between	IN
14725	131	65	us	-PRON-	PRP
14725	131	66	and	and	CC
14725	131	67	the	the	DT
14725	131	68	luminous	luminous	JJ
14725	131	69	body	body	NN
14725	131	70	.	.	.
14725	132	1	Further	further	RB
14725	132	2	,	,	,
14725	132	3	when	when	WRB
14725	132	4	one	one	PRP
14725	132	5	considers	consider	VBZ
14725	132	6	the	the	DT
14725	132	7	extreme	extreme	JJ
14725	132	8	speed	speed	NN
14725	132	9	with	with	IN
14725	132	10	which	which	WDT
14725	132	11	light	light	NN
14725	132	12	spreads	spread	VBZ
14725	132	13	on	on	IN
14725	132	14	every	every	DT
14725	132	15	side	side	NN
14725	132	16	,	,	,
14725	132	17	and	and	CC
14725	132	18	how	how	WRB
14725	132	19	,	,	,
14725	132	20	when	when	WRB
14725	132	21	it	-PRON-	PRP
14725	132	22	comes	come	VBZ
14725	132	23	from	from	IN
14725	132	24	different	different	JJ
14725	132	25	regions	region	NNS
14725	132	26	,	,	,
14725	132	27	even	even	RB
14725	132	28	from	from	IN
14725	132	29	those	those	DT
14725	132	30	directly	directly	RB
14725	132	31	opposite	opposite	JJ
14725	132	32	,	,	,
14725	132	33	the	the	DT
14725	132	34	rays	ray	NNS
14725	132	35	traverse	traverse	VBP
14725	132	36	one	one	NN
14725	132	37	another	another	DT
14725	132	38	without	without	IN
14725	132	39	hindrance	hindrance	NN
14725	132	40	,	,	,
14725	132	41	one	one	PRP
14725	132	42	may	may	MD
14725	132	43	well	well	RB
14725	132	44	understand	understand	VB
14725	132	45	that	that	IN
14725	132	46	when	when	WRB
14725	132	47	we	-PRON-	PRP
14725	132	48	see	see	VBP
14725	132	49	a	a	DT
14725	132	50	luminous	luminous	JJ
14725	132	51	object	object	NN
14725	132	52	,	,	,
14725	132	53	it	-PRON-	PRP
14725	132	54	can	can	MD
14725	132	55	not	not	RB
14725	132	56	be	be	VB
14725	132	57	by	by	IN
14725	132	58	any	any	DT
14725	132	59	transport	transport	NN
14725	132	60	of	of	IN
14725	132	61	matter	matter	NN
14725	132	62	coming	come	VBG
14725	132	63	to	to	IN
14725	132	64	us	-PRON-	PRP
14725	132	65	from	from	IN
14725	132	66	this	this	DT
14725	132	67	object	object	NN
14725	132	68	,	,	,
14725	132	69	in	in	IN
14725	132	70	the	the	DT
14725	132	71	way	way	NN
14725	132	72	in	in	IN
14725	132	73	which	which	WDT
14725	132	74	a	a	DT
14725	132	75	shot	shot	NN
14725	132	76	or	or	CC
14725	132	77	an	an	DT
14725	132	78	arrow	arrow	NN
14725	132	79	traverses	traverse	VBZ
14725	132	80	the	the	DT
14725	132	81	air	air	NN
14725	132	82	;	;	:
14725	132	83	for	for	IN
14725	132	84	assuredly	assuredly	RB
14725	132	85	that	that	DT
14725	132	86	would	would	MD
14725	132	87	too	too	RB
14725	132	88	greatly	greatly	RB
14725	132	89	impugn	impugn	VB
14725	132	90	these	these	DT
14725	132	91	two	two	CD
14725	132	92	properties	property	NNS
14725	132	93	of	of	IN
14725	132	94	light	light	NN
14725	132	95	,	,	,
14725	132	96	especially	especially	RB
14725	132	97	the	the	DT
14725	132	98	second	second	JJ
14725	132	99	of	of	IN
14725	132	100	them	-PRON-	PRP
14725	132	101	.	.	.
14725	133	1	It	-PRON-	PRP
14725	133	2	is	be	VBZ
14725	133	3	then	then	RB
14725	133	4	in	in	IN
14725	133	5	some	some	DT
14725	133	6	other	other	JJ
14725	133	7	way	way	NN
14725	133	8	that	that	WDT
14725	133	9	light	light	NN
14725	133	10	spreads	spread	VBZ
14725	133	11	;	;	:
14725	133	12	and	and	CC
14725	133	13	that	that	IN
14725	133	14	which	which	WDT
14725	133	15	can	can	MD
14725	133	16	lead	lead	VB
14725	133	17	us	-PRON-	PRP
14725	133	18	to	to	TO
14725	133	19	comprehend	comprehend	VB
14725	133	20	it	-PRON-	PRP
14725	133	21	is	be	VBZ
14725	133	22	the	the	DT
14725	133	23	knowledge	knowledge	NN
14725	133	24	which	which	WDT
14725	133	25	we	-PRON-	PRP
14725	133	26	have	have	VBP
14725	133	27	of	of	IN
14725	133	28	the	the	DT
14725	133	29	spreading	spreading	NN
14725	133	30	of	of	IN
14725	133	31	Sound	sound	NN
14725	133	32	in	in	IN
14725	133	33	the	the	DT
14725	133	34	air	air	NN
14725	133	35	.	.	.
14725	134	1	We	-PRON-	PRP
14725	134	2	know	know	VBP
14725	134	3	that	that	IN
14725	134	4	by	by	IN
14725	134	5	means	mean	NNS
14725	134	6	of	of	IN
14725	134	7	the	the	DT
14725	134	8	air	air	NN
14725	134	9	,	,	,
14725	134	10	which	which	WDT
14725	134	11	is	be	VBZ
14725	134	12	an	an	DT
14725	134	13	invisible	invisible	JJ
14725	134	14	and	and	CC
14725	134	15	impalpable	impalpable	JJ
14725	134	16	body	body	NN
14725	134	17	,	,	,
14725	134	18	Sound	sound	VB
14725	134	19	spreads	spread	VBZ
14725	134	20	around	around	IN
14725	134	21	the	the	DT
14725	134	22	spot	spot	NN
14725	134	23	where	where	WRB
14725	134	24	it	-PRON-	PRP
14725	134	25	has	have	VBZ
14725	134	26	been	be	VBN
14725	134	27	produced	produce	VBN
14725	134	28	,	,	,
14725	134	29	by	by	IN
14725	134	30	a	a	DT
14725	134	31	movement	movement	NN
14725	134	32	which	which	WDT
14725	134	33	is	be	VBZ
14725	134	34	passed	pass	VBN
14725	134	35	on	on	RP
14725	134	36	successively	successively	RB
14725	134	37	from	from	IN
14725	134	38	one	one	CD
14725	134	39	part	part	NN
14725	134	40	of	of	IN
14725	134	41	the	the	DT
14725	134	42	air	air	NN
14725	134	43	to	to	IN
14725	134	44	another	another	DT
14725	134	45	;	;	:
14725	134	46	and	and	CC
14725	134	47	that	that	IN
14725	134	48	the	the	DT
14725	134	49	spreading	spreading	NN
14725	134	50	of	of	IN
14725	134	51	this	this	DT
14725	134	52	movement	movement	NN
14725	134	53	,	,	,
14725	134	54	taking	take	VBG
14725	134	55	place	place	NN
14725	134	56	equally	equally	RB
14725	134	57	rapidly	rapidly	RB
14725	134	58	on	on	IN
14725	134	59	all	all	DT
14725	134	60	sides	side	NNS
14725	134	61	,	,	,
14725	134	62	ought	ought	MD
14725	134	63	to	to	TO
14725	134	64	form	form	VB
14725	134	65	spherical	spherical	JJ
14725	134	66	surfaces	surface	NNS
14725	134	67	ever	ever	RB
14725	134	68	enlarging	enlarge	VBG
14725	134	69	and	and	CC
14725	134	70	which	which	WDT
14725	134	71	strike	strike	VBP
14725	134	72	our	-PRON-	PRP$
14725	134	73	ears	ear	NNS
14725	134	74	.	.	.
14725	135	1	Now	now	RB
14725	135	2	there	there	EX
14725	135	3	is	be	VBZ
14725	135	4	no	no	DT
14725	135	5	doubt	doubt	NN
14725	135	6	at	at	RB
14725	135	7	all	all	RB
14725	135	8	that	that	DT
14725	135	9	light	light	NN
14725	135	10	also	also	RB
14725	135	11	comes	come	VBZ
14725	135	12	from	from	IN
14725	135	13	the	the	DT
14725	135	14	luminous	luminous	JJ
14725	135	15	body	body	NN
14725	135	16	to	to	IN
14725	135	17	our	-PRON-	PRP$
14725	135	18	eyes	eye	NNS
14725	135	19	by	by	IN
14725	135	20	some	some	DT
14725	135	21	movement	movement	NN
14725	135	22	impressed	impress	VBN
14725	135	23	on	on	IN
14725	135	24	the	the	DT
14725	135	25	matter	matter	NN
14725	135	26	which	which	WDT
14725	135	27	is	be	VBZ
14725	135	28	between	between	IN
14725	135	29	the	the	DT
14725	135	30	two	two	CD
14725	135	31	;	;	:
14725	135	32	since	since	IN
14725	135	33	,	,	,
14725	135	34	as	as	IN
14725	135	35	we	-PRON-	PRP
14725	135	36	have	have	VBP
14725	135	37	already	already	RB
14725	135	38	seen	see	VBN
14725	135	39	,	,	,
14725	135	40	it	-PRON-	PRP
14725	135	41	can	can	MD
14725	135	42	not	not	RB
14725	135	43	be	be	VB
14725	135	44	by	by	IN
14725	135	45	the	the	DT
14725	135	46	transport	transport	NN
14725	135	47	of	of	IN
14725	135	48	a	a	DT
14725	135	49	body	body	NN
14725	135	50	which	which	WDT
14725	135	51	passes	pass	VBZ
14725	135	52	from	from	IN
14725	135	53	one	one	CD
14725	135	54	to	to	IN
14725	135	55	the	the	DT
14725	135	56	other	other	JJ
14725	135	57	.	.	.
14725	136	1	If	if	IN
14725	136	2	,	,	,
14725	136	3	in	in	IN
14725	136	4	addition	addition	NN
14725	136	5	,	,	,
14725	136	6	light	light	NN
14725	136	7	takes	take	VBZ
14725	136	8	time	time	NN
14725	136	9	for	for	IN
14725	136	10	its	-PRON-	PRP$
14725	136	11	passage	passage	NN
14725	136	12	--	--	:
14725	136	13	which	which	WDT
14725	136	14	we	-PRON-	PRP
14725	136	15	are	be	VBP
14725	136	16	now	now	RB
14725	136	17	going	go	VBG
14725	136	18	to	to	TO
14725	136	19	examine	examine	VB
14725	136	20	--	--	:
14725	136	21	it	-PRON-	PRP
14725	136	22	will	will	MD
14725	136	23	follow	follow	VB
14725	136	24	that	that	IN
14725	136	25	this	this	DT
14725	136	26	movement	movement	NN
14725	136	27	,	,	,
14725	136	28	impressed	impress	VBN
14725	136	29	on	on	IN
14725	136	30	the	the	DT
14725	136	31	intervening	intervening	NN
14725	136	32	matter	matter	NN
14725	136	33	,	,	,
14725	136	34	is	be	VBZ
14725	136	35	successive	successive	JJ
14725	136	36	;	;	:
14725	136	37	and	and	CC
14725	136	38	consequently	consequently	RB
14725	136	39	it	-PRON-	PRP
14725	136	40	spreads	spread	VBZ
14725	136	41	,	,	,
14725	136	42	as	as	IN
14725	136	43	Sound	Sound	NNP
14725	136	44	does	do	VBZ
14725	136	45	,	,	,
14725	136	46	by	by	IN
14725	136	47	spherical	spherical	JJ
14725	136	48	surfaces	surface	NNS
14725	136	49	and	and	CC
14725	136	50	waves	wave	NNS
14725	136	51	:	:	:
14725	136	52	for	for	IN
14725	136	53	I	-PRON-	PRP
14725	136	54	call	call	VBP
14725	136	55	them	-PRON-	PRP
14725	136	56	waves	wave	NNS
14725	136	57	from	from	IN
14725	136	58	their	-PRON-	PRP$
14725	136	59	resemblance	resemblance	NN
14725	136	60	to	to	IN
14725	136	61	those	those	DT
14725	136	62	which	which	WDT
14725	136	63	are	be	VBP
14725	136	64	seen	see	VBN
14725	136	65	to	to	TO
14725	136	66	be	be	VB
14725	136	67	formed	form	VBN
14725	136	68	in	in	IN
14725	136	69	water	water	NN
14725	136	70	when	when	WRB
14725	136	71	a	a	DT
14725	136	72	stone	stone	NN
14725	136	73	is	be	VBZ
14725	136	74	thrown	throw	VBN
14725	136	75	into	into	IN
14725	136	76	it	-PRON-	PRP
14725	136	77	,	,	,
14725	136	78	and	and	CC
14725	136	79	which	which	WDT
14725	136	80	present	present	VBP
14725	136	81	a	a	DT
14725	136	82	successive	successive	JJ
14725	136	83	spreading	spreading	NN
14725	136	84	as	as	IN
14725	136	85	circles	circle	NNS
14725	136	86	,	,	,
14725	136	87	though	though	IN
14725	136	88	these	these	DT
14725	136	89	arise	arise	NN
14725	136	90	from	from	IN
14725	136	91	another	another	DT
14725	136	92	cause	cause	NN
14725	136	93	,	,	,
14725	136	94	and	and	CC
14725	136	95	are	be	VBP
14725	136	96	only	only	RB
14725	136	97	in	in	IN
14725	136	98	a	a	DT
14725	136	99	flat	flat	JJ
14725	136	100	surface	surface	NN
14725	136	101	.	.	.
14725	137	1	To	to	TO
14725	137	2	see	see	VB
14725	137	3	then	then	RB
14725	137	4	whether	whether	IN
14725	137	5	the	the	DT
14725	137	6	spreading	spreading	NN
14725	137	7	of	of	IN
14725	137	8	light	light	NN
14725	137	9	takes	take	VBZ
14725	137	10	time	time	NN
14725	137	11	,	,	,
14725	137	12	let	let	VB
14725	137	13	us	-PRON-	PRP
14725	137	14	consider	consider	VB
14725	137	15	first	first	RB
14725	137	16	whether	whether	IN
14725	137	17	there	there	EX
14725	137	18	are	be	VBP
14725	137	19	any	any	DT
14725	137	20	facts	fact	NNS
14725	137	21	of	of	IN
14725	137	22	experience	experience	NN
14725	137	23	which	which	WDT
14725	137	24	can	can	MD
14725	137	25	convince	convince	VB
14725	137	26	us	-PRON-	PRP
14725	137	27	to	to	IN
14725	137	28	the	the	DT
14725	137	29	contrary	contrary	NN
14725	137	30	.	.	.
14725	138	1	As	as	IN
14725	138	2	to	to	IN
14725	138	3	those	those	DT
14725	138	4	which	which	WDT
14725	138	5	can	can	MD
14725	138	6	be	be	VB
14725	138	7	made	make	VBN
14725	138	8	here	here	RB
14725	138	9	on	on	IN
14725	138	10	the	the	DT
14725	138	11	Earth	Earth	NNP
14725	138	12	,	,	,
14725	138	13	by	by	IN
14725	138	14	striking	strike	VBG
14725	138	15	lights	light	NNS
14725	138	16	at	at	IN
14725	138	17	great	great	JJ
14725	138	18	distances	distance	NNS
14725	138	19	,	,	,
14725	138	20	although	although	IN
14725	138	21	they	-PRON-	PRP
14725	138	22	prove	prove	VBP
14725	138	23	that	that	DT
14725	138	24	light	light	NN
14725	138	25	takes	take	VBZ
14725	138	26	no	no	DT
14725	138	27	sensible	sensible	JJ
14725	138	28	time	time	NN
14725	138	29	to	to	TO
14725	138	30	pass	pass	VB
14725	138	31	over	over	RP
14725	138	32	these	these	DT
14725	138	33	distances	distance	NNS
14725	138	34	,	,	,
14725	138	35	one	one	PRP
14725	138	36	may	may	MD
14725	138	37	say	say	VB
14725	138	38	with	with	IN
14725	138	39	good	good	JJ
14725	138	40	reason	reason	NN
14725	138	41	that	that	IN
14725	138	42	they	-PRON-	PRP
14725	138	43	are	be	VBP
14725	138	44	too	too	RB
14725	138	45	small	small	JJ
14725	138	46	,	,	,
14725	138	47	and	and	CC
14725	138	48	that	that	IN
14725	138	49	the	the	DT
14725	138	50	only	only	JJ
14725	138	51	conclusion	conclusion	NN
14725	138	52	to	to	TO
14725	138	53	be	be	VB
14725	138	54	drawn	draw	VBN
14725	138	55	from	from	IN
14725	138	56	them	-PRON-	PRP
14725	138	57	is	be	VBZ
14725	138	58	that	that	IN
14725	138	59	the	the	DT
14725	138	60	passage	passage	NN
14725	138	61	of	of	IN
14725	138	62	light	light	NN
14725	138	63	is	be	VBZ
14725	138	64	extremely	extremely	RB
14725	138	65	rapid	rapid	JJ
14725	138	66	.	.	.
14725	139	1	Mr.	Mr.	NNP
14725	139	2	Des	Des	NNP
14725	139	3	Cartes	Cartes	NNP
14725	139	4	,	,	,
14725	139	5	who	who	WP
14725	139	6	was	be	VBD
14725	139	7	of	of	IN
14725	139	8	opinion	opinion	NN
14725	139	9	that	that	IN
14725	139	10	it	-PRON-	PRP
14725	139	11	is	be	VBZ
14725	139	12	instantaneous	instantaneous	JJ
14725	139	13	,	,	,
14725	139	14	founded	found	VBD
14725	139	15	his	-PRON-	PRP$
14725	139	16	views	view	NNS
14725	139	17	,	,	,
14725	139	18	not	not	RB
14725	139	19	without	without	IN
14725	139	20	reason	reason	NN
14725	139	21	,	,	,
14725	139	22	upon	upon	IN
14725	139	23	a	a	DT
14725	139	24	better	well	JJR
14725	139	25	basis	basis	NN
14725	139	26	of	of	IN
14725	139	27	experience	experience	NN
14725	139	28	,	,	,
14725	139	29	drawn	draw	VBN
14725	139	30	from	from	IN
14725	139	31	the	the	DT
14725	139	32	Eclipses	Eclipses	NNPS
14725	139	33	of	of	IN
14725	139	34	the	the	DT
14725	139	35	Moon	Moon	NNP
14725	139	36	;	;	:
14725	139	37	which	which	WDT
14725	139	38	,	,	,
14725	139	39	nevertheless	nevertheless	RB
14725	139	40	,	,	,
14725	139	41	as	as	IN
14725	139	42	I	-PRON-	PRP
14725	139	43	shall	shall	MD
14725	139	44	show	show	VB
14725	139	45	,	,	,
14725	139	46	is	be	VBZ
14725	139	47	not	not	RB
14725	139	48	at	at	RB
14725	139	49	all	all	RB
14725	139	50	convincing	convincing	JJ
14725	139	51	.	.	.
14725	140	1	I	-PRON-	PRP
14725	140	2	will	will	MD
14725	140	3	set	set	VB
14725	140	4	it	-PRON-	PRP
14725	140	5	forth	forth	RB
14725	140	6	,	,	,
14725	140	7	in	in	IN
14725	140	8	a	a	DT
14725	140	9	way	way	NN
14725	140	10	a	a	DT
14725	140	11	little	little	JJ
14725	140	12	different	different	JJ
14725	140	13	from	from	IN
14725	140	14	his	-PRON-	PRP
14725	140	15	,	,	,
14725	140	16	in	in	IN
14725	140	17	order	order	NN
14725	140	18	to	to	TO
14725	140	19	make	make	VB
14725	140	20	the	the	DT
14725	140	21	conclusion	conclusion	NN
14725	140	22	more	more	RBR
14725	140	23	comprehensible	comprehensible	JJ
14725	140	24	.	.	.
14725	141	1	[	[	-LRB-
14725	141	2	Illustration	illustration	NN
14725	141	3	]	]	-RRB-
14725	141	4	Let	let	VB
14725	141	5	A	a	NN
14725	141	6	be	be	VB
14725	141	7	the	the	DT
14725	141	8	place	place	NN
14725	141	9	of	of	IN
14725	141	10	the	the	DT
14725	141	11	sun	sun	NN
14725	141	12	,	,	,
14725	141	13	BD	BD	NNP
14725	141	14	a	a	DT
14725	141	15	part	part	NN
14725	141	16	of	of	IN
14725	141	17	the	the	DT
14725	141	18	orbit	orbit	NN
14725	141	19	or	or	CC
14725	141	20	annual	annual	JJ
14725	141	21	path	path	NN
14725	141	22	of	of	IN
14725	141	23	the	the	DT
14725	141	24	Earth	Earth	NNP
14725	141	25	:	:	:
14725	141	26	ABC	ABC	NNP
14725	141	27	a	a	DT
14725	141	28	straight	straight	JJ
14725	141	29	line	line	NN
14725	141	30	which	which	WDT
14725	141	31	I	-PRON-	PRP
14725	141	32	suppose	suppose	VBP
14725	141	33	to	to	TO
14725	141	34	meet	meet	VB
14725	141	35	the	the	DT
14725	141	36	orbit	orbit	NN
14725	141	37	of	of	IN
14725	141	38	the	the	DT
14725	141	39	Moon	Moon	NNP
14725	141	40	,	,	,
14725	141	41	which	which	WDT
14725	141	42	is	be	VBZ
14725	141	43	represented	represent	VBN
14725	141	44	by	by	IN
14725	141	45	the	the	DT
14725	141	46	circle	circle	NN
14725	141	47	CD	cd	NN
14725	141	48	,	,	,
14725	141	49	at	at	IN
14725	141	50	C.	C.	NNP
14725	141	51	Now	now	RB
14725	141	52	if	if	IN
14725	141	53	light	light	NN
14725	141	54	requires	require	VBZ
14725	141	55	time	time	NN
14725	141	56	,	,	,
14725	141	57	for	for	IN
14725	141	58	example	example	NN
14725	141	59	one	one	CD
14725	141	60	hour	hour	NN
14725	141	61	,	,	,
14725	141	62	to	to	TO
14725	141	63	traverse	traverse	VB
14725	141	64	the	the	DT
14725	141	65	space	space	NN
14725	141	66	which	which	WDT
14725	141	67	is	be	VBZ
14725	141	68	between	between	IN
14725	141	69	the	the	DT
14725	141	70	Earth	Earth	NNP
14725	141	71	and	and	CC
14725	141	72	the	the	DT
14725	141	73	Moon	Moon	NNP
14725	141	74	,	,	,
14725	141	75	it	-PRON-	PRP
14725	141	76	will	will	MD
14725	141	77	follow	follow	VB
14725	141	78	that	that	IN
14725	141	79	the	the	DT
14725	141	80	Earth	Earth	NNP
14725	141	81	having	have	VBG
14725	141	82	arrived	arrive	VBN
14725	141	83	at	at	IN
14725	141	84	B	B	NNP
14725	141	85	,	,	,
14725	141	86	the	the	DT
14725	141	87	shadow	shadow	NN
14725	141	88	which	which	WDT
14725	141	89	it	-PRON-	PRP
14725	141	90	casts	cast	VBZ
14725	141	91	,	,	,
14725	141	92	or	or	CC
14725	141	93	the	the	DT
14725	141	94	interruption	interruption	NN
14725	141	95	of	of	IN
14725	141	96	the	the	DT
14725	141	97	light	light	NN
14725	141	98	,	,	,
14725	141	99	will	will	MD
14725	141	100	not	not	RB
14725	141	101	yet	yet	RB
14725	141	102	have	have	VB
14725	141	103	arrived	arrive	VBN
14725	141	104	at	at	IN
14725	141	105	the	the	DT
14725	141	106	point	point	NN
14725	141	107	C	c	NN
14725	141	108	,	,	,
14725	141	109	but	but	CC
14725	141	110	will	will	MD
14725	141	111	only	only	RB
14725	141	112	arrive	arrive	VB
14725	141	113	there	there	RB
14725	141	114	an	an	DT
14725	141	115	hour	hour	NN
14725	141	116	after	after	IN
14725	141	117	.	.	.
14725	142	1	It	-PRON-	PRP
14725	142	2	will	will	MD
14725	142	3	then	then	RB
14725	142	4	be	be	VB
14725	142	5	one	one	CD
14725	142	6	hour	hour	NN
14725	142	7	after	after	IN
14725	142	8	,	,	,
14725	142	9	reckoning	reckon	VBG
14725	142	10	from	from	IN
14725	142	11	the	the	DT
14725	142	12	moment	moment	NN
14725	142	13	when	when	WRB
14725	142	14	the	the	DT
14725	142	15	Earth	Earth	NNP
14725	142	16	was	be	VBD
14725	142	17	at	at	IN
14725	142	18	B	b	NN
14725	142	19	,	,	,
14725	142	20	that	that	IN
14725	142	21	the	the	DT
14725	142	22	Moon	Moon	NNP
14725	142	23	,	,	,
14725	142	24	arriving	arrive	VBG
14725	142	25	at	at	IN
14725	142	26	C	C	NNP
14725	142	27	,	,	,
14725	142	28	will	will	MD
14725	142	29	be	be	VB
14725	142	30	obscured	obscure	VBN
14725	142	31	:	:	:
14725	142	32	but	but	CC
14725	142	33	this	this	DT
14725	142	34	obscuration	obscuration	NN
14725	142	35	or	or	CC
14725	142	36	interruption	interruption	NN
14725	142	37	of	of	IN
14725	142	38	the	the	DT
14725	142	39	light	light	NN
14725	142	40	will	will	MD
14725	142	41	not	not	RB
14725	142	42	reach	reach	VB
14725	142	43	the	the	DT
14725	142	44	Earth	Earth	NNP
14725	142	45	till	till	IN
14725	142	46	after	after	IN
14725	142	47	another	another	DT
14725	142	48	hour	hour	NN
14725	142	49	.	.	.
14725	143	1	Let	let	VB
14725	143	2	us	-PRON-	PRP
14725	143	3	suppose	suppose	VB
14725	143	4	that	that	IN
14725	143	5	the	the	DT
14725	143	6	Earth	Earth	NNP
14725	143	7	in	in	IN
14725	143	8	these	these	DT
14725	143	9	two	two	CD
14725	143	10	hours	hour	NNS
14725	143	11	will	will	MD
14725	143	12	have	have	VB
14725	143	13	arrived	arrive	VBN
14725	143	14	at	at	IN
14725	143	15	E.	E.	NNP
14725	143	16	The	the	DT
14725	143	17	Earth	Earth	NNP
14725	143	18	then	then	RB
14725	143	19	,	,	,
14725	143	20	being	be	VBG
14725	143	21	at	at	IN
14725	143	22	E	e	NN
14725	143	23	,	,	,
14725	143	24	will	will	MD
14725	143	25	see	see	VB
14725	143	26	the	the	DT
14725	143	27	Eclipsed	Eclipsed	NNP
14725	143	28	Moon	Moon	NNP
14725	143	29	at	at	IN
14725	143	30	C	C	NNP
14725	143	31	,	,	,
14725	143	32	which	which	WDT
14725	143	33	it	-PRON-	PRP
14725	143	34	left	leave	VBD
14725	143	35	an	an	DT
14725	143	36	hour	hour	NN
14725	143	37	before	before	RB
14725	143	38	,	,	,
14725	143	39	and	and	CC
14725	143	40	at	at	IN
14725	143	41	the	the	DT
14725	143	42	same	same	JJ
14725	143	43	time	time	NN
14725	143	44	will	will	MD
14725	143	45	see	see	VB
14725	143	46	the	the	DT
14725	143	47	sun	sun	NN
14725	143	48	at	at	IN
14725	143	49	A.	a.	NN
14725	144	1	For	for	IN
14725	144	2	it	-PRON-	PRP
14725	144	3	being	be	VBG
14725	144	4	immovable	immovable	JJ
14725	144	5	,	,	,
14725	144	6	as	as	IN
14725	144	7	I	-PRON-	PRP
14725	144	8	suppose	suppose	VBP
14725	144	9	with	with	IN
14725	144	10	Copernicus	Copernicus	NNP
14725	144	11	,	,	,
14725	144	12	and	and	CC
14725	144	13	the	the	DT
14725	144	14	light	light	NN
14725	144	15	moving	move	VBG
14725	144	16	always	always	RB
14725	144	17	in	in	IN
14725	144	18	straight	straight	JJ
14725	144	19	lines	line	NNS
14725	144	20	,	,	,
14725	144	21	it	-PRON-	PRP
14725	144	22	must	must	MD
14725	144	23	always	always	RB
14725	144	24	appear	appear	VB
14725	144	25	where	where	WRB
14725	144	26	it	-PRON-	PRP
14725	144	27	is	be	VBZ
14725	144	28	.	.	.
14725	145	1	But	but	CC
14725	145	2	one	one	PRP
14725	145	3	has	have	VBZ
14725	145	4	always	always	RB
14725	145	5	observed	observe	VBN
14725	145	6	,	,	,
14725	145	7	we	-PRON-	PRP
14725	145	8	are	be	VBP
14725	145	9	told	tell	VBN
14725	145	10	,	,	,
14725	145	11	that	that	IN
14725	145	12	the	the	DT
14725	145	13	eclipsed	eclipse	VBN
14725	145	14	Moon	Moon	NNP
14725	145	15	appears	appear	VBZ
14725	145	16	at	at	IN
14725	145	17	the	the	DT
14725	145	18	point	point	NN
14725	145	19	of	of	IN
14725	145	20	the	the	DT
14725	145	21	Ecliptic	ecliptic	JJ
14725	145	22	opposite	opposite	NN
14725	145	23	to	to	IN
14725	145	24	the	the	DT
14725	145	25	Sun	Sun	NNP
14725	145	26	;	;	:
14725	145	27	and	and	CC
14725	145	28	yet	yet	RB
14725	145	29	here	here	RB
14725	145	30	it	-PRON-	PRP
14725	145	31	would	would	MD
14725	145	32	appear	appear	VB
14725	145	33	in	in	IN
14725	145	34	arrear	arrear	NN
14725	145	35	of	of	IN
14725	145	36	that	that	DT
14725	145	37	point	point	NN
14725	145	38	by	by	IN
14725	145	39	an	an	DT
14725	145	40	amount	amount	NN
14725	145	41	equal	equal	JJ
14725	145	42	to	to	IN
14725	145	43	the	the	DT
14725	145	44	angle	angle	NN
14725	145	45	GEC	GEC	NNP
14725	145	46	,	,	,
14725	145	47	the	the	DT
14725	145	48	supplement	supplement	NN
14725	145	49	of	of	IN
14725	145	50	AEC	AEC	NNP
14725	145	51	.	.	.
14725	146	1	This	this	DT
14725	146	2	,	,	,
14725	146	3	however	however	RB
14725	146	4	,	,	,
14725	146	5	is	be	VBZ
14725	146	6	contrary	contrary	JJ
14725	146	7	to	to	TO
14725	146	8	experience	experience	VB
14725	146	9	,	,	,
14725	146	10	since	since	IN
14725	146	11	the	the	DT
14725	146	12	angle	angle	NN
14725	146	13	GEC	GEC	NNP
14725	146	14	would	would	MD
14725	146	15	be	be	VB
14725	146	16	very	very	RB
14725	146	17	sensible	sensible	JJ
14725	146	18	,	,	,
14725	146	19	and	and	CC
14725	146	20	about	about	RB
14725	146	21	33	33	CD
14725	146	22	degrees	degree	NNS
14725	146	23	.	.	.
14725	147	1	Now	now	RB
14725	147	2	according	accord	VBG
14725	147	3	to	to	IN
14725	147	4	our	-PRON-	PRP$
14725	147	5	computation	computation	NN
14725	147	6	,	,	,
14725	147	7	which	which	WDT
14725	147	8	is	be	VBZ
14725	147	9	given	give	VBN
14725	147	10	in	in	IN
14725	147	11	the	the	DT
14725	147	12	Treatise	Treatise	NNP
14725	147	13	on	on	IN
14725	147	14	the	the	DT
14725	147	15	causes	cause	NNS
14725	147	16	of	of	IN
14725	147	17	the	the	DT
14725	147	18	phenomena	phenomenon	NNS
14725	147	19	of	of	IN
14725	147	20	Saturn	Saturn	NNP
14725	147	21	,	,	,
14725	147	22	the	the	DT
14725	147	23	distance	distance	NN
14725	147	24	BA	BA	NNP
14725	147	25	between	between	IN
14725	147	26	the	the	DT
14725	147	27	Earth	Earth	NNP
14725	147	28	and	and	CC
14725	147	29	the	the	DT
14725	147	30	Sun	Sun	NNP
14725	147	31	is	be	VBZ
14725	147	32	about	about	RB
14725	147	33	twelve	twelve	CD
14725	147	34	thousand	thousand	CD
14725	147	35	diameters	diameter	NNS
14725	147	36	of	of	IN
14725	147	37	the	the	DT
14725	147	38	Earth	Earth	NNP
14725	147	39	,	,	,
14725	147	40	and	and	CC
14725	147	41	hence	hence	RB
14725	147	42	four	four	CD
14725	147	43	hundred	hundred	CD
14725	147	44	times	time	NNS
14725	147	45	greater	great	JJR
14725	147	46	than	than	IN
14725	147	47	BC	BC	NNP
14725	147	48	the	the	DT
14725	147	49	distance	distance	NN
14725	147	50	of	of	IN
14725	147	51	the	the	DT
14725	147	52	Moon	Moon	NNP
14725	147	53	,	,	,
14725	147	54	which	which	WDT
14725	147	55	is	be	VBZ
14725	147	56	30	30	CD
14725	147	57	diameters	diameter	NNS
14725	147	58	.	.	.
14725	148	1	Then	then	RB
14725	148	2	the	the	DT
14725	148	3	angle	angle	NN
14725	148	4	ECB	ECB	NNP
14725	148	5	will	will	MD
14725	148	6	be	be	VB
14725	148	7	nearly	nearly	RB
14725	148	8	four	four	CD
14725	148	9	hundred	hundred	CD
14725	148	10	times	time	NNS
14725	148	11	greater	great	JJR
14725	148	12	than	than	IN
14725	148	13	BAE	BAE	NNP
14725	148	14	,	,	,
14725	148	15	which	which	WDT
14725	148	16	is	be	VBZ
14725	148	17	five	five	CD
14725	148	18	minutes	minute	NNS
14725	148	19	;	;	:
14725	148	20	namely	namely	RB
14725	148	21	,	,	,
14725	148	22	the	the	DT
14725	148	23	path	path	NN
14725	148	24	which	which	WDT
14725	148	25	the	the	DT
14725	148	26	earth	earth	NN
14725	148	27	travels	travel	VBZ
14725	148	28	in	in	IN
14725	148	29	two	two	CD
14725	148	30	hours	hour	NNS
14725	148	31	along	along	IN
14725	148	32	its	-PRON-	PRP$
14725	148	33	orbit	orbit	NN
14725	148	34	;	;	,
14725	148	35	and	and	CC
14725	148	36	thus	thus	RB
14725	148	37	the	the	DT
14725	148	38	angle	angle	NN
14725	148	39	BCE	BCE	NNP
14725	148	40	will	will	MD
14725	148	41	be	be	VB
14725	148	42	nearly	nearly	RB
14725	148	43	33	33	CD
14725	148	44	degrees	degree	NNS
14725	148	45	;	;	:
14725	148	46	and	and	CC
14725	148	47	likewise	likewise	RB
14725	148	48	the	the	DT
14725	148	49	angle	angle	NN
14725	148	50	CEG	CEG	NNP
14725	148	51	,	,	,
14725	148	52	which	which	WDT
14725	148	53	is	be	VBZ
14725	148	54	greater	great	JJR
14725	148	55	by	by	IN
14725	148	56	five	five	CD
14725	148	57	minutes	minute	NNS
14725	148	58	.	.	.
14725	149	1	But	but	CC
14725	149	2	it	-PRON-	PRP
14725	149	3	must	must	MD
14725	149	4	be	be	VB
14725	149	5	noted	note	VBN
14725	149	6	that	that	IN
14725	149	7	the	the	DT
14725	149	8	speed	speed	NN
14725	149	9	of	of	IN
14725	149	10	light	light	NN
14725	149	11	in	in	IN
14725	149	12	this	this	DT
14725	149	13	argument	argument	NN
14725	149	14	has	have	VBZ
14725	149	15	been	be	VBN
14725	149	16	assumed	assume	VBN
14725	149	17	such	such	JJ
14725	149	18	that	that	IN
14725	149	19	it	-PRON-	PRP
14725	149	20	takes	take	VBZ
14725	149	21	a	a	DT
14725	149	22	time	time	NN
14725	149	23	of	of	IN
14725	149	24	one	one	CD
14725	149	25	hour	hour	NN
14725	149	26	to	to	TO
14725	149	27	make	make	VB
14725	149	28	the	the	DT
14725	149	29	passage	passage	NN
14725	149	30	from	from	IN
14725	149	31	here	here	RB
14725	149	32	to	to	IN
14725	149	33	the	the	DT
14725	149	34	Moon	Moon	NNP
14725	149	35	.	.	.
14725	150	1	If	if	IN
14725	150	2	one	one	PRP
14725	150	3	supposes	suppose	VBZ
14725	150	4	that	that	DT
14725	150	5	for	for	IN
14725	150	6	this	this	DT
14725	150	7	it	-PRON-	PRP
14725	150	8	requires	require	VBZ
14725	150	9	only	only	RB
14725	150	10	one	one	CD
14725	150	11	minute	minute	NN
14725	150	12	of	of	IN
14725	150	13	time	time	NN
14725	150	14	,	,	,
14725	150	15	then	then	RB
14725	150	16	it	-PRON-	PRP
14725	150	17	is	be	VBZ
14725	150	18	manifest	manifest	JJ
14725	150	19	that	that	IN
14725	150	20	the	the	DT
14725	150	21	angle	angle	NN
14725	150	22	CEG	CEG	NNP
14725	150	23	will	will	MD
14725	150	24	only	only	RB
14725	150	25	be	be	VB
14725	150	26	33	33	CD
14725	150	27	minutes	minute	NNS
14725	150	28	;	;	:
14725	150	29	and	and	CC
14725	150	30	if	if	IN
14725	150	31	it	-PRON-	PRP
14725	150	32	requires	require	VBZ
14725	150	33	only	only	RB
14725	150	34	ten	ten	CD
14725	150	35	seconds	second	NNS
14725	150	36	of	of	IN
14725	150	37	time	time	NN
14725	150	38	,	,	,
14725	150	39	the	the	DT
14725	150	40	angle	angle	NN
14725	150	41	will	will	MD
14725	150	42	be	be	VB
14725	150	43	less	less	JJR
14725	150	44	than	than	IN
14725	150	45	six	six	CD
14725	150	46	minutes	minute	NNS
14725	150	47	.	.	.
14725	151	1	And	and	CC
14725	151	2	then	then	RB
14725	151	3	it	-PRON-	PRP
14725	151	4	will	will	MD
14725	151	5	not	not	RB
14725	151	6	be	be	VB
14725	151	7	easy	easy	JJ
14725	151	8	to	to	TO
14725	151	9	perceive	perceive	VB
14725	151	10	anything	anything	NN
14725	151	11	of	of	IN
14725	151	12	it	-PRON-	PRP
14725	151	13	in	in	IN
14725	151	14	observations	observation	NNS
14725	151	15	of	of	IN
14725	151	16	the	the	DT
14725	151	17	Eclipse	Eclipse	NNP
14725	151	18	;	;	:
14725	151	19	nor	nor	CC
14725	151	20	,	,	,
14725	151	21	consequently	consequently	RB
14725	151	22	,	,	,
14725	151	23	will	will	MD
14725	151	24	it	-PRON-	PRP
14725	151	25	be	be	VB
14725	151	26	permissible	permissible	JJ
14725	151	27	to	to	TO
14725	151	28	deduce	deduce	VB
14725	151	29	from	from	IN
14725	151	30	it	-PRON-	PRP
14725	151	31	that	that	IN
14725	151	32	the	the	DT
14725	151	33	movement	movement	NN
14725	151	34	of	of	IN
14725	151	35	light	light	NN
14725	151	36	is	be	VBZ
14725	151	37	instantaneous	instantaneous	JJ
14725	151	38	.	.	.
14725	152	1	It	-PRON-	PRP
14725	152	2	is	be	VBZ
14725	152	3	true	true	JJ
14725	152	4	that	that	IN
14725	152	5	we	-PRON-	PRP
14725	152	6	are	be	VBP
14725	152	7	here	here	RB
14725	152	8	supposing	suppose	VBG
14725	152	9	a	a	DT
14725	152	10	strange	strange	JJ
14725	152	11	velocity	velocity	NN
14725	152	12	that	that	WDT
14725	152	13	would	would	MD
14725	152	14	be	be	VB
14725	152	15	a	a	DT
14725	152	16	hundred	hundred	CD
14725	152	17	thousand	thousand	CD
14725	152	18	times	time	NNS
14725	152	19	greater	great	JJR
14725	152	20	than	than	IN
14725	152	21	that	that	DT
14725	152	22	of	of	IN
14725	152	23	Sound	Sound	NNP
14725	152	24	.	.	.
14725	153	1	For	for	IN
14725	153	2	Sound	Sound	NNP
14725	153	3	,	,	,
14725	153	4	according	accord	VBG
14725	153	5	to	to	IN
14725	153	6	what	what	WP
14725	153	7	I	-PRON-	PRP
14725	153	8	have	have	VBP
14725	153	9	observed	observe	VBN
14725	153	10	,	,	,
14725	153	11	travels	travel	VBZ
14725	153	12	about	about	IN
14725	153	13	180	180	CD
14725	153	14	Toises	toise	NNS
14725	153	15	in	in	IN
14725	153	16	the	the	DT
14725	153	17	time	time	NN
14725	153	18	of	of	IN
14725	153	19	one	one	CD
14725	153	20	Second	Second	NNP
14725	153	21	,	,	,
14725	153	22	or	or	CC
14725	153	23	in	in	IN
14725	153	24	about	about	RB
14725	153	25	one	one	CD
14725	153	26	beat	beat	NN
14725	153	27	of	of	IN
14725	153	28	the	the	DT
14725	153	29	pulse	pulse	NN
14725	153	30	.	.	.
14725	154	1	But	but	CC
14725	154	2	this	this	DT
14725	154	3	supposition	supposition	NN
14725	154	4	ought	ought	MD
14725	154	5	not	not	RB
14725	154	6	to	to	TO
14725	154	7	seem	seem	VB
14725	154	8	to	to	TO
14725	154	9	be	be	VB
14725	154	10	an	an	DT
14725	154	11	impossibility	impossibility	NN
14725	154	12	;	;	:
14725	154	13	since	since	IN
14725	154	14	it	-PRON-	PRP
14725	154	15	is	be	VBZ
14725	154	16	not	not	RB
14725	154	17	a	a	DT
14725	154	18	question	question	NN
14725	154	19	of	of	IN
14725	154	20	the	the	DT
14725	154	21	transport	transport	NN
14725	154	22	of	of	IN
14725	154	23	a	a	DT
14725	154	24	body	body	NN
14725	154	25	with	with	IN
14725	154	26	so	so	RB
14725	154	27	great	great	JJ
14725	154	28	a	a	DT
14725	154	29	speed	speed	NN
14725	154	30	,	,	,
14725	154	31	but	but	CC
14725	154	32	of	of	IN
14725	154	33	a	a	DT
14725	154	34	successive	successive	JJ
14725	154	35	movement	movement	NN
14725	154	36	which	which	WDT
14725	154	37	is	be	VBZ
14725	154	38	passed	pass	VBN
14725	154	39	on	on	RP
14725	154	40	from	from	IN
14725	154	41	some	some	DT
14725	154	42	bodies	body	NNS
14725	154	43	to	to	IN
14725	154	44	others	other	NNS
14725	154	45	.	.	.
14725	155	1	I	-PRON-	PRP
14725	155	2	have	have	VBP
14725	155	3	then	then	RB
14725	155	4	made	make	VBN
14725	155	5	no	no	DT
14725	155	6	difficulty	difficulty	NN
14725	155	7	,	,	,
14725	155	8	in	in	IN
14725	155	9	meditating	meditate	VBG
14725	155	10	on	on	IN
14725	155	11	these	these	DT
14725	155	12	things	thing	NNS
14725	155	13	,	,	,
14725	155	14	in	in	IN
14725	155	15	supposing	suppose	VBG
14725	155	16	that	that	IN
14725	155	17	the	the	DT
14725	155	18	emanation	emanation	NN
14725	155	19	of	of	IN
14725	155	20	light	light	NN
14725	155	21	is	be	VBZ
14725	155	22	accomplished	accomplish	VBN
14725	155	23	with	with	IN
14725	155	24	time	time	NN
14725	155	25	,	,	,
14725	155	26	seeing	see	VBG
14725	155	27	that	that	IN
14725	155	28	in	in	IN
14725	155	29	this	this	DT
14725	155	30	way	way	NN
14725	155	31	all	all	PDT
14725	155	32	its	-PRON-	PRP$
14725	155	33	phenomena	phenomenon	NNS
14725	155	34	can	can	MD
14725	155	35	be	be	VB
14725	155	36	explained	explain	VBN
14725	155	37	,	,	,
14725	155	38	and	and	CC
14725	155	39	that	that	IN
14725	155	40	in	in	IN
14725	155	41	following	follow	VBG
14725	155	42	the	the	DT
14725	155	43	contrary	contrary	JJ
14725	155	44	opinion	opinion	NN
14725	155	45	everything	everything	NN
14725	155	46	is	be	VBZ
14725	155	47	incomprehensible	incomprehensible	JJ
14725	155	48	.	.	.
14725	156	1	For	for	IN
14725	156	2	it	-PRON-	PRP
14725	156	3	has	have	VBZ
14725	156	4	always	always	RB
14725	156	5	seemed	seem	VBN
14725	156	6	tome	tome	NN
14725	156	7	that	that	IN
14725	156	8	even	even	RB
14725	156	9	Mr.	Mr.	NNP
14725	156	10	Des	Des	NNP
14725	156	11	Cartes	Cartes	NNP
14725	156	12	,	,	,
14725	156	13	whose	whose	WP$
14725	156	14	aim	aim	NN
14725	156	15	has	have	VBZ
14725	156	16	been	be	VBN
14725	156	17	to	to	TO
14725	156	18	treat	treat	VB
14725	156	19	all	all	PDT
14725	156	20	the	the	DT
14725	156	21	subjects	subject	NNS
14725	156	22	of	of	IN
14725	156	23	Physics	Physics	NNP
14725	156	24	intelligibly	intelligibly	RB
14725	156	25	,	,	,
14725	156	26	and	and	CC
14725	156	27	who	who	WP
14725	156	28	assuredly	assuredly	RB
14725	156	29	has	have	VBZ
14725	156	30	succeeded	succeed	VBN
14725	156	31	in	in	IN
14725	156	32	this	this	DT
14725	156	33	better	well	JJR
14725	156	34	than	than	IN
14725	156	35	any	any	DT
14725	156	36	one	one	CD
14725	156	37	before	before	IN
14725	156	38	him	-PRON-	PRP
14725	156	39	,	,	,
14725	156	40	has	have	VBZ
14725	156	41	said	say	VBN
14725	156	42	nothing	nothing	NN
14725	156	43	that	that	WDT
14725	156	44	is	be	VBZ
14725	156	45	not	not	RB
14725	156	46	full	full	JJ
14725	156	47	of	of	IN
14725	156	48	difficulties	difficulty	NNS
14725	156	49	,	,	,
14725	156	50	or	or	CC
14725	156	51	even	even	RB
14725	156	52	inconceivable	inconceivable	JJ
14725	156	53	,	,	,
14725	156	54	in	in	IN
14725	156	55	dealing	deal	VBG
14725	156	56	with	with	IN
14725	156	57	Light	light	NN
14725	156	58	and	and	CC
14725	156	59	its	-PRON-	PRP$
14725	156	60	properties	property	NNS
14725	156	61	.	.	.
14725	157	1	But	but	CC
14725	157	2	that	that	IN
14725	157	3	which	which	WDT
14725	157	4	I	-PRON-	PRP
14725	157	5	employed	employ	VBD
14725	157	6	only	only	RB
14725	157	7	as	as	IN
14725	157	8	a	a	DT
14725	157	9	hypothesis	hypothesis	NN
14725	157	10	,	,	,
14725	157	11	has	have	VBZ
14725	157	12	recently	recently	RB
14725	157	13	received	receive	VBN
14725	157	14	great	great	JJ
14725	157	15	seemingness	seemingness	NN
14725	157	16	as	as	IN
14725	157	17	an	an	DT
14725	157	18	established	establish	VBN
14725	157	19	truth	truth	NN
14725	157	20	by	by	IN
14725	157	21	the	the	DT
14725	157	22	ingenious	ingenious	JJ
14725	157	23	proof	proof	NN
14725	157	24	of	of	IN
14725	157	25	Mr.	Mr.	NNP
14725	157	26	Römer	Römer	NNP
14725	157	27	which	which	WDT
14725	157	28	I	-PRON-	PRP
14725	157	29	am	be	VBP
14725	157	30	going	go	VBG
14725	157	31	here	here	RB
14725	157	32	to	to	TO
14725	157	33	relate	relate	VB
14725	157	34	,	,	,
14725	157	35	expecting	expect	VBG
14725	157	36	him	-PRON-	PRP
14725	157	37	himself	-PRON-	PRP
14725	157	38	to	to	TO
14725	157	39	give	give	VB
14725	157	40	all	all	DT
14725	157	41	that	that	WDT
14725	157	42	is	be	VBZ
14725	157	43	needed	need	VBN
14725	157	44	for	for	IN
14725	157	45	its	-PRON-	PRP$
14725	157	46	confirmation	confirmation	NN
14725	157	47	.	.	.
14725	158	1	It	-PRON-	PRP
14725	158	2	is	be	VBZ
14725	158	3	founded	found	VBN
14725	158	4	as	as	IN
14725	158	5	is	be	VBZ
14725	158	6	the	the	DT
14725	158	7	preceding	precede	VBG
14725	158	8	argument	argument	NN
14725	158	9	upon	upon	IN
14725	158	10	celestial	celestial	JJ
14725	158	11	observations	observation	NNS
14725	158	12	,	,	,
14725	158	13	and	and	CC
14725	158	14	proves	prove	VBZ
14725	158	15	not	not	RB
14725	158	16	only	only	RB
14725	158	17	that	that	IN
14725	158	18	Light	light	NN
14725	158	19	takes	take	VBZ
14725	158	20	time	time	NN
14725	158	21	for	for	IN
14725	158	22	its	-PRON-	PRP$
14725	158	23	passage	passage	NN
14725	158	24	,	,	,
14725	158	25	but	but	CC
14725	158	26	also	also	RB
14725	158	27	demonstrates	demonstrate	VBZ
14725	158	28	how	how	WRB
14725	158	29	much	much	JJ
14725	158	30	time	time	NN
14725	158	31	it	-PRON-	PRP
14725	158	32	takes	take	VBZ
14725	158	33	,	,	,
14725	158	34	and	and	CC
14725	158	35	that	that	IN
14725	158	36	its	-PRON-	PRP$
14725	158	37	velocity	velocity	NN
14725	158	38	is	be	VBZ
14725	158	39	even	even	RB
14725	158	40	at	at	IN
14725	158	41	least	least	JJS
14725	158	42	six	six	CD
14725	158	43	times	time	NNS
14725	158	44	greater	great	JJR
14725	158	45	than	than	IN
14725	158	46	that	that	DT
14725	158	47	which	which	WDT
14725	158	48	I	-PRON-	PRP
14725	158	49	have	have	VBP
14725	158	50	just	just	RB
14725	158	51	stated	state	VBN
14725	158	52	.	.	.
14725	159	1	For	for	IN
14725	159	2	this	this	DT
14725	159	3	he	-PRON-	PRP
14725	159	4	makes	make	VBZ
14725	159	5	use	use	NN
14725	159	6	of	of	IN
14725	159	7	the	the	DT
14725	159	8	Eclipses	Eclipses	NNPS
14725	159	9	suffered	suffer	VBN
14725	159	10	by	by	IN
14725	159	11	the	the	DT
14725	159	12	little	little	JJ
14725	159	13	planets	planet	NNS
14725	159	14	which	which	WDT
14725	159	15	revolve	revolve	VBP
14725	159	16	around	around	IN
14725	159	17	Jupiter	Jupiter	NNP
14725	159	18	,	,	,
14725	159	19	and	and	CC
14725	159	20	which	which	WDT
14725	159	21	often	often	RB
14725	159	22	enter	enter	VBP
14725	159	23	his	-PRON-	PRP$
14725	159	24	shadow	shadow	NN
14725	159	25	:	:	:
14725	159	26	and	and	CC
14725	159	27	see	see	VB
14725	159	28	what	what	WP
14725	159	29	is	be	VBZ
14725	159	30	his	-PRON-	PRP$
14725	159	31	reasoning	reasoning	NN
14725	159	32	.	.	.
14725	160	1	Let	let	VB
14725	160	2	A	a	DT
14725	160	3	be	be	VB
14725	160	4	the	the	DT
14725	160	5	Sun	Sun	NNP
14725	160	6	,	,	,
14725	160	7	BCDE	BCDE	NNP
14725	160	8	the	the	DT
14725	160	9	annual	annual	JJ
14725	160	10	orbit	orbit	NN
14725	160	11	of	of	IN
14725	160	12	the	the	DT
14725	160	13	Earth	Earth	NNP
14725	160	14	,	,	,
14725	160	15	F	F	NNP
14725	160	16	Jupiter	Jupiter	NNP
14725	160	17	,	,	,
14725	160	18	GN	GN	NNP
14725	160	19	the	the	DT
14725	160	20	orbit	orbit	NN
14725	160	21	of	of	IN
14725	160	22	the	the	DT
14725	160	23	nearest	near	JJS
14725	160	24	of	of	IN
14725	160	25	his	-PRON-	PRP$
14725	160	26	Satellites	Satellites	NNPS
14725	160	27	,	,	,
14725	160	28	for	for	IN
14725	160	29	it	-PRON-	PRP
14725	160	30	is	be	VBZ
14725	160	31	this	this	DT
14725	160	32	one	one	CD
14725	160	33	which	which	WDT
14725	160	34	is	be	VBZ
14725	160	35	more	more	RBR
14725	160	36	apt	apt	JJ
14725	160	37	for	for	IN
14725	160	38	this	this	DT
14725	160	39	investigation	investigation	NN
14725	160	40	than	than	IN
14725	160	41	any	any	DT
14725	160	42	of	of	IN
14725	160	43	the	the	DT
14725	160	44	other	other	JJ
14725	160	45	three	three	CD
14725	160	46	,	,	,
14725	160	47	because	because	IN
14725	160	48	of	of	IN
14725	160	49	the	the	DT
14725	160	50	quickness	quickness	NN
14725	160	51	of	of	IN
14725	160	52	its	-PRON-	PRP$
14725	160	53	revolution	revolution	NN
14725	160	54	.	.	.
14725	161	1	Let	let	VB
14725	161	2	G	g	NN
14725	161	3	be	be	VB
14725	161	4	this	this	DT
14725	161	5	Satellite	Satellite	NNP
14725	161	6	entering	enter	VBG
14725	161	7	into	into	IN
14725	161	8	the	the	DT
14725	161	9	shadow	shadow	NN
14725	161	10	of	of	IN
14725	161	11	Jupiter	Jupiter	NNP
14725	161	12	,	,	,
14725	161	13	H	H	NNP
14725	161	14	the	the	DT
14725	161	15	same	same	JJ
14725	161	16	Satellite	Satellite	NNP
14725	161	17	emerging	emerge	VBG
14725	161	18	from	from	IN
14725	161	19	the	the	DT
14725	161	20	shadow	shadow	NN
14725	161	21	.	.	.
14725	162	1	[	[	-LRB-
14725	162	2	Illustration	illustration	NN
14725	162	3	]	]	-RRB-
14725	162	4	Let	let	VB
14725	162	5	it	-PRON-	PRP
14725	162	6	be	be	VB
14725	162	7	then	then	RB
14725	162	8	supposed	suppose	VBN
14725	162	9	,	,	,
14725	162	10	the	the	DT
14725	162	11	Earth	Earth	NNP
14725	162	12	being	be	VBG
14725	162	13	at	at	IN
14725	162	14	B	b	NN
14725	162	15	some	some	DT
14725	162	16	time	time	NN
14725	162	17	before	before	IN
14725	162	18	the	the	DT
14725	162	19	last	last	JJ
14725	162	20	quadrature	quadrature	NN
14725	162	21	,	,	,
14725	162	22	that	that	IN
14725	162	23	one	one	PRP
14725	162	24	has	have	VBZ
14725	162	25	seen	see	VBN
14725	162	26	the	the	DT
14725	162	27	said	say	VBN
14725	162	28	Satellite	Satellite	NNP
14725	162	29	emerge	emerge	NN
14725	162	30	from	from	IN
14725	162	31	the	the	DT
14725	162	32	shadow	shadow	NN
14725	162	33	;	;	:
14725	162	34	it	-PRON-	PRP
14725	162	35	must	must	MD
14725	162	36	needs	needs	VB
14725	162	37	be	be	VB
14725	162	38	,	,	,
14725	162	39	if	if	IN
14725	162	40	the	the	DT
14725	162	41	Earth	Earth	NNP
14725	162	42	remains	remain	VBZ
14725	162	43	at	at	IN
14725	162	44	the	the	DT
14725	162	45	same	same	JJ
14725	162	46	place	place	NN
14725	162	47	,	,	,
14725	162	48	that	that	IN
14725	162	49	,	,	,
14725	162	50	after	after	IN
14725	162	51	42	42	CD
14725	162	52	-	-	SYM
14725	162	53	1/2	1/2	CD
14725	162	54	hours	hour	NNS
14725	162	55	,	,	,
14725	162	56	one	one	PRP
14725	162	57	would	would	MD
14725	162	58	again	again	RB
14725	162	59	see	see	VB
14725	162	60	a	a	DT
14725	162	61	similar	similar	JJ
14725	162	62	emergence	emergence	NN
14725	162	63	,	,	,
14725	162	64	because	because	IN
14725	162	65	that	that	DT
14725	162	66	is	be	VBZ
14725	162	67	the	the	DT
14725	162	68	time	time	NN
14725	162	69	in	in	IN
14725	162	70	which	which	WDT
14725	162	71	it	-PRON-	PRP
14725	162	72	makes	make	VBZ
14725	162	73	the	the	DT
14725	162	74	round	round	NN
14725	162	75	of	of	IN
14725	162	76	its	-PRON-	PRP$
14725	162	77	orbit	orbit	NN
14725	162	78	,	,	,
14725	162	79	and	and	CC
14725	162	80	when	when	WRB
14725	162	81	it	-PRON-	PRP
14725	162	82	would	would	MD
14725	162	83	come	come	VB
14725	162	84	again	again	RB
14725	162	85	into	into	IN
14725	162	86	opposition	opposition	NN
14725	162	87	to	to	IN
14725	162	88	the	the	DT
14725	162	89	Sun	Sun	NNP
14725	162	90	.	.	.
14725	163	1	And	and	CC
14725	163	2	if	if	IN
14725	163	3	the	the	DT
14725	163	4	Earth	Earth	NNP
14725	163	5	,	,	,
14725	163	6	for	for	IN
14725	163	7	instance	instance	NN
14725	163	8	,	,	,
14725	163	9	were	be	VBD
14725	163	10	to	to	TO
14725	163	11	remain	remain	VB
14725	163	12	always	always	RB
14725	163	13	at	at	IN
14725	163	14	B	b	NN
14725	163	15	during	during	IN
14725	163	16	30	30	CD
14725	163	17	revolutions	revolution	NNS
14725	163	18	of	of	IN
14725	163	19	this	this	DT
14725	163	20	Satellite	Satellite	NNP
14725	163	21	,	,	,
14725	163	22	one	one	PRP
14725	163	23	would	would	MD
14725	163	24	see	see	VB
14725	163	25	it	-PRON-	PRP
14725	163	26	again	again	RB
14725	163	27	emerge	emerge	VB
14725	163	28	from	from	IN
14725	163	29	the	the	DT
14725	163	30	shadow	shadow	NN
14725	163	31	after	after	IN
14725	163	32	30	30	CD
14725	163	33	times	time	NNS
14725	163	34	42	42	CD
14725	163	35	-	-	HYPH
14725	163	36	1/2	1/2	CD
14725	163	37	hours	hour	NNS
14725	163	38	.	.	.
14725	164	1	But	but	CC
14725	164	2	the	the	DT
14725	164	3	Earth	Earth	NNP
14725	164	4	having	have	VBG
14725	164	5	been	be	VBN
14725	164	6	carried	carry	VBN
14725	164	7	along	along	RB
14725	164	8	during	during	IN
14725	164	9	this	this	DT
14725	164	10	time	time	NN
14725	164	11	to	to	IN
14725	164	12	C	C	NNP
14725	164	13	,	,	,
14725	164	14	increasing	increase	VBG
14725	164	15	thus	thus	RB
14725	164	16	its	-PRON-	PRP$
14725	164	17	distance	distance	NN
14725	164	18	from	from	IN
14725	164	19	Jupiter	Jupiter	NNP
14725	164	20	,	,	,
14725	164	21	it	-PRON-	PRP
14725	164	22	follows	follow	VBZ
14725	164	23	that	that	IN
14725	164	24	if	if	IN
14725	164	25	Light	Light	NNP
14725	164	26	requires	require	VBZ
14725	164	27	time	time	NN
14725	164	28	for	for	IN
14725	164	29	its	-PRON-	PRP$
14725	164	30	passage	passage	NN
14725	164	31	the	the	DT
14725	164	32	illumination	illumination	NN
14725	164	33	of	of	IN
14725	164	34	the	the	DT
14725	164	35	little	little	JJ
14725	164	36	planet	planet	NN
14725	164	37	will	will	MD
14725	164	38	be	be	VB
14725	164	39	perceived	perceive	VBN
14725	164	40	later	later	RBR
14725	164	41	at	at	IN
14725	164	42	C	c	NN
14725	164	43	than	than	IN
14725	164	44	it	-PRON-	PRP
14725	164	45	would	would	MD
14725	164	46	have	have	VB
14725	164	47	been	be	VBN
14725	164	48	at	at	IN
14725	164	49	B	b	NN
14725	164	50	,	,	,
14725	164	51	and	and	CC
14725	164	52	that	that	IN
14725	164	53	there	there	EX
14725	164	54	must	must	MD
14725	164	55	be	be	VB
14725	164	56	added	add	VBN
14725	164	57	to	to	IN
14725	164	58	this	this	DT
14725	164	59	time	time	NN
14725	164	60	of	of	IN
14725	164	61	30	30	CD
14725	164	62	times	time	NNS
14725	164	63	42	42	CD
14725	164	64	-	-	SYM
14725	164	65	1/2	1/2	CD
14725	164	66	hours	hour	NNS
14725	164	67	that	that	WDT
14725	164	68	which	which	WDT
14725	164	69	the	the	DT
14725	164	70	Light	light	NN
14725	164	71	has	have	VBZ
14725	164	72	required	require	VBN
14725	164	73	to	to	TO
14725	164	74	traverse	traverse	VB
14725	164	75	the	the	DT
14725	164	76	space	space	NN
14725	164	77	MC	MC	NNP
14725	164	78	,	,	,
14725	164	79	the	the	DT
14725	164	80	difference	difference	NN
14725	164	81	of	of	IN
14725	164	82	the	the	DT
14725	164	83	spaces	space	NNS
14725	164	84	CH	CH	NNP
14725	164	85	,	,	,
14725	164	86	BH	BH	NNP
14725	164	87	.	.	.
14725	165	1	Similarly	similarly	RB
14725	165	2	at	at	IN
14725	165	3	the	the	DT
14725	165	4	other	other	JJ
14725	165	5	quadrature	quadrature	NN
14725	165	6	when	when	WRB
14725	165	7	the	the	DT
14725	165	8	earth	earth	NN
14725	165	9	has	have	VBZ
14725	165	10	come	come	VBN
14725	165	11	to	to	IN
14725	165	12	E	e	NN
14725	165	13	from	from	IN
14725	165	14	D	d	NN
14725	165	15	while	while	IN
14725	165	16	approaching	approach	VBG
14725	165	17	toward	toward	IN
14725	165	18	Jupiter	Jupiter	NNP
14725	165	19	,	,	,
14725	165	20	the	the	DT
14725	165	21	immersions	immersion	NNS
14725	165	22	of	of	IN
14725	165	23	the	the	DT
14725	165	24	Satellite	Satellite	NNP
14725	165	25	ought	ought	MD
14725	165	26	to	to	TO
14725	165	27	be	be	VB
14725	165	28	observed	observe	VBN
14725	165	29	at	at	IN
14725	165	30	E	e	NN
14725	165	31	earlier	early	RBR
14725	165	32	than	than	IN
14725	165	33	they	-PRON-	PRP
14725	165	34	would	would	MD
14725	165	35	have	have	VB
14725	165	36	been	be	VBN
14725	165	37	seen	see	VBN
14725	165	38	if	if	IN
14725	165	39	the	the	DT
14725	165	40	Earth	Earth	NNP
14725	165	41	had	have	VBD
14725	165	42	remained	remain	VBN
14725	165	43	at	at	IN
14725	165	44	D.	D.	NNP
14725	165	45	Now	now	RB
14725	165	46	in	in	IN
14725	165	47	quantities	quantity	NNS
14725	165	48	of	of	IN
14725	165	49	observations	observation	NNS
14725	165	50	of	of	IN
14725	165	51	these	these	DT
14725	165	52	Eclipses	eclipse	NNS
14725	165	53	,	,	,
14725	165	54	made	make	VBN
14725	165	55	during	during	IN
14725	165	56	ten	ten	CD
14725	165	57	consecutive	consecutive	JJ
14725	165	58	years	year	NNS
14725	165	59	,	,	,
14725	165	60	these	these	DT
14725	165	61	differences	difference	NNS
14725	165	62	have	have	VBP
14725	165	63	been	be	VBN
14725	165	64	found	find	VBN
14725	165	65	to	to	TO
14725	165	66	be	be	VB
14725	165	67	very	very	RB
14725	165	68	considerable	considerable	JJ
14725	165	69	,	,	,
14725	165	70	such	such	JJ
14725	165	71	as	as	IN
14725	165	72	ten	ten	CD
14725	165	73	minutes	minute	NNS
14725	165	74	and	and	CC
14725	165	75	more	more	JJR
14725	165	76	;	;	:
14725	165	77	and	and	CC
14725	165	78	from	from	IN
14725	165	79	them	-PRON-	PRP
14725	165	80	it	-PRON-	PRP
14725	165	81	has	have	VBZ
14725	165	82	been	be	VBN
14725	165	83	concluded	conclude	VBN
14725	165	84	that	that	IN
14725	165	85	in	in	IN
14725	165	86	order	order	NN
14725	165	87	to	to	TO
14725	165	88	traverse	traverse	VB
14725	165	89	the	the	DT
14725	165	90	whole	whole	JJ
14725	165	91	diameter	diameter	NN
14725	165	92	of	of	IN
14725	165	93	the	the	DT
14725	165	94	annual	annual	JJ
14725	165	95	orbit	orbit	NN
14725	165	96	KL	KL	NNP
14725	165	97	,	,	,
14725	165	98	which	which	WDT
14725	165	99	is	be	VBZ
14725	165	100	double	double	PDT
14725	165	101	the	the	DT
14725	165	102	distance	distance	NN
14725	165	103	from	from	IN
14725	165	104	here	here	RB
14725	165	105	to	to	IN
14725	165	106	the	the	DT
14725	165	107	sun	sun	NN
14725	165	108	,	,	,
14725	165	109	Light	Light	NNP
14725	165	110	requires	require	VBZ
14725	165	111	about	about	RB
14725	165	112	22	22	CD
14725	165	113	minutes	minute	NNS
14725	165	114	of	of	IN
14725	165	115	time	time	NN
14725	165	116	.	.	.
14725	166	1	The	the	DT
14725	166	2	movement	movement	NN
14725	166	3	of	of	IN
14725	166	4	Jupiter	Jupiter	NNP
14725	166	5	in	in	IN
14725	166	6	his	-PRON-	PRP$
14725	166	7	orbit	orbit	NN
14725	166	8	while	while	IN
14725	166	9	the	the	DT
14725	166	10	Earth	Earth	NNP
14725	166	11	passed	pass	VBD
14725	166	12	from	from	IN
14725	166	13	B	b	NN
14725	166	14	to	to	IN
14725	166	15	C	c	NN
14725	166	16	,	,	,
14725	166	17	or	or	CC
14725	166	18	from	from	IN
14725	166	19	D	d	NN
14725	166	20	to	to	IN
14725	166	21	E	e	NN
14725	166	22	,	,	,
14725	166	23	is	be	VBZ
14725	166	24	included	include	VBN
14725	166	25	in	in	IN
14725	166	26	this	this	DT
14725	166	27	calculation	calculation	NN
14725	166	28	;	;	:
14725	166	29	and	and	CC
14725	166	30	this	this	DT
14725	166	31	makes	make	VBZ
14725	166	32	it	-PRON-	PRP
14725	166	33	evident	evident	JJ
14725	166	34	that	that	IN
14725	166	35	one	one	PRP
14725	166	36	can	can	MD
14725	166	37	not	not	RB
14725	166	38	attribute	attribute	VB
14725	166	39	the	the	DT
14725	166	40	retardation	retardation	NN
14725	166	41	of	of	IN
14725	166	42	these	these	DT
14725	166	43	illuminations	illumination	NNS
14725	166	44	or	or	CC
14725	166	45	the	the	DT
14725	166	46	anticipation	anticipation	NN
14725	166	47	of	of	IN
14725	166	48	the	the	DT
14725	166	49	eclipses	eclipse	NNS
14725	166	50	,	,	,
14725	166	51	either	either	CC
14725	166	52	to	to	IN
14725	166	53	any	any	DT
14725	166	54	irregularity	irregularity	NN
14725	166	55	occurring	occur	VBG
14725	166	56	in	in	IN
14725	166	57	the	the	DT
14725	166	58	movement	movement	NN
14725	166	59	of	of	IN
14725	166	60	the	the	DT
14725	166	61	little	little	JJ
14725	166	62	planet	planet	NN
14725	166	63	or	or	CC
14725	166	64	to	to	IN
14725	166	65	its	-PRON-	PRP$
14725	166	66	eccentricity	eccentricity	NN
14725	166	67	.	.	.
14725	167	1	If	if	IN
14725	167	2	one	one	PRP
14725	167	3	considers	consider	VBZ
14725	167	4	the	the	DT
14725	167	5	vast	vast	JJ
14725	167	6	size	size	NN
14725	167	7	of	of	IN
14725	167	8	the	the	DT
14725	167	9	diameter	diameter	NN
14725	167	10	KL	KL	NNP
14725	167	11	,	,	,
14725	167	12	which	which	WDT
14725	167	13	according	accord	VBG
14725	167	14	to	to	IN
14725	167	15	me	-PRON-	PRP
14725	167	16	is	be	VBZ
14725	167	17	some	some	DT
14725	167	18	24	24	CD
14725	167	19	thousand	thousand	CD
14725	167	20	diameters	diameter	NNS
14725	167	21	of	of	IN
14725	167	22	the	the	DT
14725	167	23	Earth	Earth	NNP
14725	167	24	,	,	,
14725	167	25	one	one	PRP
14725	167	26	will	will	MD
14725	167	27	acknowledge	acknowledge	VB
14725	167	28	the	the	DT
14725	167	29	extreme	extreme	JJ
14725	167	30	velocity	velocity	NN
14725	167	31	of	of	IN
14725	167	32	Light	Light	NNP
14725	167	33	.	.	.
14725	168	1	For	for	IN
14725	168	2	,	,	,
14725	168	3	supposing	suppose	VBG
14725	168	4	that	that	IN
14725	168	5	KL	KL	NNP
14725	168	6	is	be	VBZ
14725	168	7	no	no	DT
14725	168	8	more	more	JJR
14725	168	9	than	than	IN
14725	168	10	22	22	CD
14725	168	11	thousand	thousand	CD
14725	168	12	of	of	IN
14725	168	13	these	these	DT
14725	168	14	diameters	diameter	NNS
14725	168	15	,	,	,
14725	168	16	it	-PRON-	PRP
14725	168	17	appears	appear	VBZ
14725	168	18	that	that	IN
14725	168	19	being	be	VBG
14725	168	20	traversed	traverse	VBN
14725	168	21	in	in	IN
14725	168	22	22	22	CD
14725	168	23	minutes	minute	NNS
14725	168	24	this	this	DT
14725	168	25	makes	make	VBZ
14725	168	26	the	the	DT
14725	168	27	speed	speed	NN
14725	168	28	a	a	DT
14725	168	29	thousand	thousand	CD
14725	168	30	diameters	diameter	NNS
14725	168	31	in	in	IN
14725	168	32	one	one	CD
14725	168	33	minute	minute	NN
14725	168	34	,	,	,
14725	168	35	that	that	RB
14725	168	36	is	is	RB
14725	168	37	16	16	CD
14725	168	38	-	-	SYM
14725	168	39	2/3	2/3	CD
14725	168	40	diameters	diameter	NNS
14725	168	41	in	in	IN
14725	168	42	one	one	CD
14725	168	43	second	second	NN
14725	168	44	or	or	CC
14725	168	45	in	in	IN
14725	168	46	one	one	CD
14725	168	47	beat	beat	NN
14725	168	48	of	of	IN
14725	168	49	the	the	DT
14725	168	50	pulse	pulse	NN
14725	168	51	,	,	,
14725	168	52	which	which	WDT
14725	168	53	makes	make	VBZ
14725	168	54	more	more	JJR
14725	168	55	than	than	IN
14725	168	56	11	11	CD
14725	168	57	hundred	hundred	CD
14725	168	58	times	time	NNS
14725	168	59	a	a	DT
14725	168	60	hundred	hundred	CD
14725	168	61	thousand	thousand	CD
14725	168	62	toises	toise	NNS
14725	168	63	;	;	:
14725	168	64	since	since	IN
14725	168	65	the	the	DT
14725	168	66	diameter	diameter	NN
14725	168	67	of	of	IN
14725	168	68	the	the	DT
14725	168	69	Earth	Earth	NNP
14725	168	70	contains	contain	VBZ
14725	168	71	2,865	2,865	CD
14725	168	72	leagues	league	NNS
14725	168	73	,	,	,
14725	168	74	reckoned	reckon	VBD
14725	168	75	at	at	IN
14725	168	76	25	25	CD
14725	168	77	to	to	IN
14725	168	78	the	the	DT
14725	168	79	degree	degree	NN
14725	168	80	,	,	,
14725	168	81	and	and	CC
14725	168	82	each	each	DT
14725	168	83	each	each	DT
14725	168	84	league	league	NN
14725	168	85	is	be	VBZ
14725	168	86	2,282	2,282	CD
14725	168	87	Toises	Toises	NNPS
14725	168	88	,	,	,
14725	168	89	according	accord	VBG
14725	168	90	to	to	IN
14725	168	91	the	the	DT
14725	168	92	exact	exact	JJ
14725	168	93	measurement	measurement	NN
14725	168	94	which	which	WDT
14725	168	95	Mr.	Mr.	NNP
14725	168	96	Picard	Picard	NNP
14725	168	97	made	make	VBN
14725	168	98	by	by	IN
14725	168	99	order	order	NN
14725	168	100	of	of	IN
14725	168	101	the	the	DT
14725	168	102	King	King	NNP
14725	168	103	in	in	IN
14725	168	104	1669	1669	CD
14725	168	105	.	.	.
14725	169	1	But	but	CC
14725	169	2	Sound	Sound	NNP
14725	169	3	,	,	,
14725	169	4	as	as	IN
14725	169	5	I	-PRON-	PRP
14725	169	6	have	have	VBP
14725	169	7	said	say	VBD
14725	169	8	above	above	RB
14725	169	9	,	,	,
14725	169	10	only	only	RB
14725	169	11	travels	travel	VBZ
14725	169	12	180	180	CD
14725	169	13	toises	toise	NNS
14725	169	14	in	in	IN
14725	169	15	the	the	DT
14725	169	16	same	same	JJ
14725	169	17	time	time	NN
14725	169	18	of	of	IN
14725	169	19	one	one	CD
14725	169	20	second	second	NN
14725	169	21	:	:	:
14725	169	22	hence	hence	RB
14725	169	23	the	the	DT
14725	169	24	velocity	velocity	NN
14725	169	25	of	of	IN
14725	169	26	Light	light	NN
14725	169	27	is	be	VBZ
14725	169	28	more	more	JJR
14725	169	29	than	than	IN
14725	169	30	six	six	CD
14725	169	31	hundred	hundred	CD
14725	169	32	thousand	thousand	CD
14725	169	33	times	time	NNS
14725	169	34	greater	great	JJR
14725	169	35	than	than	IN
14725	169	36	that	that	DT
14725	169	37	of	of	IN
14725	169	38	Sound	Sound	NNP
14725	169	39	.	.	.
14725	170	1	This	this	DT
14725	170	2	,	,	,
14725	170	3	however	however	RB
14725	170	4	,	,	,
14725	170	5	is	be	VBZ
14725	170	6	quite	quite	PDT
14725	170	7	another	another	DT
14725	170	8	thing	thing	NN
14725	170	9	from	from	IN
14725	170	10	being	be	VBG
14725	170	11	instantaneous	instantaneous	JJ
14725	170	12	,	,	,
14725	170	13	since	since	IN
14725	170	14	there	there	EX
14725	170	15	is	be	VBZ
14725	170	16	all	all	PDT
14725	170	17	the	the	DT
14725	170	18	difference	difference	NN
14725	170	19	between	between	IN
14725	170	20	a	a	DT
14725	170	21	finite	finite	JJ
14725	170	22	thing	thing	NN
14725	170	23	and	and	CC
14725	170	24	an	an	DT
14725	170	25	infinite	infinite	NN
14725	170	26	.	.	.
14725	171	1	Now	now	RB
14725	171	2	the	the	DT
14725	171	3	successive	successive	JJ
14725	171	4	movement	movement	NN
14725	171	5	of	of	IN
14725	171	6	Light	Light	NNP
14725	171	7	being	be	VBG
14725	171	8	confirmed	confirm	VBN
14725	171	9	in	in	IN
14725	171	10	this	this	DT
14725	171	11	way	way	NN
14725	171	12	,	,	,
14725	171	13	it	-PRON-	PRP
14725	171	14	follows	follow	VBZ
14725	171	15	,	,	,
14725	171	16	as	as	IN
14725	171	17	I	-PRON-	PRP
14725	171	18	have	have	VBP
14725	171	19	said	say	VBD
14725	171	20	,	,	,
14725	171	21	that	that	IN
14725	171	22	it	-PRON-	PRP
14725	171	23	spreads	spread	VBZ
14725	171	24	by	by	IN
14725	171	25	spherical	spherical	JJ
14725	171	26	waves	wave	NNS
14725	171	27	,	,	,
14725	171	28	like	like	IN
14725	171	29	the	the	DT
14725	171	30	movement	movement	NN
14725	171	31	of	of	IN
14725	171	32	Sound	Sound	NNP
14725	171	33	.	.	.
14725	172	1	But	but	CC
14725	172	2	if	if	IN
14725	172	3	the	the	DT
14725	172	4	one	one	NN
14725	172	5	resembles	resemble	VBZ
14725	172	6	the	the	DT
14725	172	7	other	other	JJ
14725	172	8	in	in	IN
14725	172	9	this	this	DT
14725	172	10	respect	respect	NN
14725	172	11	,	,	,
14725	172	12	they	-PRON-	PRP
14725	172	13	differ	differ	VBP
14725	172	14	in	in	IN
14725	172	15	many	many	JJ
14725	172	16	other	other	JJ
14725	172	17	things	thing	NNS
14725	172	18	;	;	:
14725	172	19	to	to	IN
14725	172	20	wit	wit	NN
14725	172	21	,	,	,
14725	172	22	in	in	IN
14725	172	23	the	the	DT
14725	172	24	first	first	JJ
14725	172	25	production	production	NN
14725	172	26	of	of	IN
14725	172	27	the	the	DT
14725	172	28	movement	movement	NN
14725	172	29	which	which	WDT
14725	172	30	causes	cause	VBZ
14725	172	31	them	-PRON-	PRP
14725	172	32	;	;	:
14725	172	33	in	in	IN
14725	172	34	the	the	DT
14725	172	35	matter	matter	NN
14725	172	36	in	in	IN
14725	172	37	which	which	WDT
14725	172	38	the	the	DT
14725	172	39	movement	movement	NN
14725	172	40	spreads	spread	VBZ
14725	172	41	;	;	:
14725	172	42	and	and	CC
14725	172	43	in	in	IN
14725	172	44	the	the	DT
14725	172	45	manner	manner	NN
14725	172	46	in	in	IN
14725	172	47	which	which	WDT
14725	172	48	it	-PRON-	PRP
14725	172	49	is	be	VBZ
14725	172	50	propagated	propagate	VBN
14725	172	51	.	.	.
14725	173	1	As	as	IN
14725	173	2	to	to	IN
14725	173	3	that	that	DT
14725	173	4	which	which	WDT
14725	173	5	occurs	occur	VBZ
14725	173	6	in	in	IN
14725	173	7	the	the	DT
14725	173	8	production	production	NN
14725	173	9	of	of	IN
14725	173	10	Sound	Sound	NNP
14725	173	11	,	,	,
14725	173	12	one	one	NN
14725	173	13	knows	know	VBZ
14725	173	14	that	that	IN
14725	173	15	it	-PRON-	PRP
14725	173	16	is	be	VBZ
14725	173	17	occasioned	occasion	VBN
14725	173	18	by	by	IN
14725	173	19	the	the	DT
14725	173	20	agitation	agitation	NN
14725	173	21	undergone	undergo	VBN
14725	173	22	by	by	IN
14725	173	23	an	an	DT
14725	173	24	entire	entire	JJ
14725	173	25	body	body	NN
14725	173	26	,	,	,
14725	173	27	or	or	CC
14725	173	28	by	by	IN
14725	173	29	a	a	DT
14725	173	30	considerable	considerable	JJ
14725	173	31	part	part	NN
14725	173	32	of	of	IN
14725	173	33	one	one	CD
14725	173	34	,	,	,
14725	173	35	which	which	WDT
14725	173	36	shakes	shake	VBZ
14725	173	37	all	all	PDT
14725	173	38	the	the	DT
14725	173	39	contiguous	contiguous	JJ
14725	173	40	air	air	NN
14725	173	41	.	.	.
14725	174	1	But	but	CC
14725	174	2	the	the	DT
14725	174	3	movement	movement	NN
14725	174	4	of	of	IN
14725	174	5	the	the	DT
14725	174	6	Light	Light	NNP
14725	174	7	must	must	MD
14725	174	8	originate	originate	VB
14725	174	9	as	as	IN
14725	174	10	from	from	IN
14725	174	11	each	each	DT
14725	174	12	point	point	NN
14725	174	13	of	of	IN
14725	174	14	the	the	DT
14725	174	15	luminous	luminous	JJ
14725	174	16	object	object	NN
14725	174	17	,	,	,
14725	174	18	else	else	RB
14725	174	19	we	-PRON-	PRP
14725	174	20	should	should	MD
14725	174	21	not	not	RB
14725	174	22	be	be	VB
14725	174	23	able	able	JJ
14725	174	24	to	to	TO
14725	174	25	perceive	perceive	VB
14725	174	26	all	all	PDT
14725	174	27	the	the	DT
14725	174	28	different	different	JJ
14725	174	29	parts	part	NNS
14725	174	30	of	of	IN
14725	174	31	that	that	DT
14725	174	32	object	object	NN
14725	174	33	,	,	,
14725	174	34	as	as	IN
14725	174	35	will	will	MD
14725	174	36	be	be	VB
14725	174	37	more	more	RBR
14725	174	38	evident	evident	JJ
14725	174	39	in	in	IN
14725	174	40	that	that	DT
14725	174	41	which	which	WDT
14725	174	42	follows	follow	VBZ
14725	174	43	.	.	.
14725	175	1	And	and	CC
14725	175	2	I	-PRON-	PRP
14725	175	3	do	do	VBP
14725	175	4	not	not	RB
14725	175	5	believe	believe	VB
14725	175	6	that	that	IN
14725	175	7	this	this	DT
14725	175	8	movement	movement	NN
14725	175	9	can	can	MD
14725	175	10	be	be	VB
14725	175	11	better	well	RBR
14725	175	12	explained	explain	VBN
14725	175	13	than	than	IN
14725	175	14	by	by	IN
14725	175	15	supposing	suppose	VBG
14725	175	16	that	that	IN
14725	175	17	all	all	PDT
14725	175	18	those	those	DT
14725	175	19	of	of	IN
14725	175	20	the	the	DT
14725	175	21	luminous	luminous	JJ
14725	175	22	bodies	body	NNS
14725	175	23	which	which	WDT
14725	175	24	are	be	VBP
14725	175	25	liquid	liquid	JJ
14725	175	26	,	,	,
14725	175	27	such	such	JJ
14725	175	28	as	as	IN
14725	175	29	flames	flame	NNS
14725	175	30	,	,	,
14725	175	31	and	and	CC
14725	175	32	apparently	apparently	RB
14725	175	33	the	the	DT
14725	175	34	sun	sun	NN
14725	175	35	and	and	CC
14725	175	36	the	the	DT
14725	175	37	stars	star	NNS
14725	175	38	,	,	,
14725	175	39	are	be	VBP
14725	175	40	composed	compose	VBN
14725	175	41	of	of	IN
14725	175	42	particles	particle	NNS
14725	175	43	which	which	WDT
14725	175	44	float	float	VBP
14725	175	45	in	in	IN
14725	175	46	a	a	DT
14725	175	47	much	much	RB
14725	175	48	more	more	RBR
14725	175	49	subtle	subtle	JJ
14725	175	50	medium	medium	NN
14725	175	51	which	which	WDT
14725	175	52	agitates	agitate	VBZ
14725	175	53	them	-PRON-	PRP
14725	175	54	with	with	IN
14725	175	55	great	great	JJ
14725	175	56	rapidity	rapidity	NN
14725	175	57	,	,	,
14725	175	58	and	and	CC
14725	175	59	makes	make	VBZ
14725	175	60	them	-PRON-	PRP
14725	175	61	strike	strike	VB
14725	175	62	against	against	IN
14725	175	63	the	the	DT
14725	175	64	particles	particle	NNS
14725	175	65	of	of	IN
14725	175	66	the	the	DT
14725	175	67	ether	ether	NN
14725	175	68	which	which	WDT
14725	175	69	surrounds	surround	VBZ
14725	175	70	them	-PRON-	PRP
14725	175	71	,	,	,
14725	175	72	and	and	CC
14725	175	73	which	which	WDT
14725	175	74	are	be	VBP
14725	175	75	much	much	RB
14725	175	76	smaller	small	JJR
14725	175	77	than	than	IN
14725	175	78	they	-PRON-	PRP
14725	175	79	.	.	.
14725	176	1	But	but	CC
14725	176	2	I	-PRON-	PRP
14725	176	3	hold	hold	VBP
14725	176	4	also	also	RB
14725	176	5	that	that	IN
14725	176	6	in	in	IN
14725	176	7	luminous	luminous	JJ
14725	176	8	solids	solid	NNS
14725	176	9	such	such	JJ
14725	176	10	as	as	IN
14725	176	11	charcoal	charcoal	NN
14725	176	12	or	or	CC
14725	176	13	metal	metal	NN
14725	176	14	made	make	VBD
14725	176	15	red	red	JJ
14725	176	16	hot	hot	JJ
14725	176	17	in	in	IN
14725	176	18	the	the	DT
14725	176	19	fire	fire	NN
14725	176	20	,	,	,
14725	176	21	this	this	DT
14725	176	22	same	same	JJ
14725	176	23	movement	movement	NN
14725	176	24	is	be	VBZ
14725	176	25	caused	cause	VBN
14725	176	26	by	by	IN
14725	176	27	the	the	DT
14725	176	28	violent	violent	JJ
14725	176	29	agitation	agitation	NN
14725	176	30	of	of	IN
14725	176	31	the	the	DT
14725	176	32	particles	particle	NNS
14725	176	33	of	of	IN
14725	176	34	the	the	DT
14725	176	35	metal	metal	NN
14725	176	36	or	or	CC
14725	176	37	of	of	IN
14725	176	38	the	the	DT
14725	176	39	wood	wood	NN
14725	176	40	;	;	:
14725	176	41	those	those	DT
14725	176	42	of	of	IN
14725	176	43	them	-PRON-	PRP
14725	176	44	which	which	WDT
14725	176	45	are	be	VBP
14725	176	46	on	on	IN
14725	176	47	the	the	DT
14725	176	48	surface	surface	NN
14725	176	49	striking	strike	VBG
14725	176	50	similarly	similarly	RB
14725	176	51	against	against	IN
14725	176	52	the	the	DT
14725	176	53	ethereal	ethereal	JJ
14725	176	54	matter	matter	NN
14725	176	55	.	.	.
14725	177	1	The	the	DT
14725	177	2	agitation	agitation	NN
14725	177	3	,	,	,
14725	177	4	moreover	moreover	RB
14725	177	5	,	,	,
14725	177	6	of	of	IN
14725	177	7	the	the	DT
14725	177	8	particles	particle	NNS
14725	177	9	which	which	WDT
14725	177	10	engender	engender	VBP
14725	177	11	the	the	DT
14725	177	12	light	light	NN
14725	177	13	ought	ought	MD
14725	177	14	to	to	TO
14725	177	15	be	be	VB
14725	177	16	much	much	RB
14725	177	17	more	more	RBR
14725	177	18	prompt	prompt	JJ
14725	177	19	and	and	CC
14725	177	20	more	more	RBR
14725	177	21	rapid	rapid	JJ
14725	177	22	than	than	IN
14725	177	23	is	be	VBZ
14725	177	24	that	that	DT
14725	177	25	of	of	IN
14725	177	26	the	the	DT
14725	177	27	bodies	body	NNS
14725	177	28	which	which	WDT
14725	177	29	cause	cause	VBP
14725	177	30	sound	sound	NN
14725	177	31	,	,	,
14725	177	32	since	since	IN
14725	177	33	we	-PRON-	PRP
14725	177	34	do	do	VBP
14725	177	35	not	not	RB
14725	177	36	see	see	VB
14725	177	37	that	that	IN
14725	177	38	the	the	DT
14725	177	39	tremors	tremor	NNS
14725	177	40	of	of	IN
14725	177	41	a	a	DT
14725	177	42	body	body	NN
14725	177	43	which	which	WDT
14725	177	44	is	be	VBZ
14725	177	45	giving	give	VBG
14725	177	46	out	out	RP
14725	177	47	a	a	DT
14725	177	48	sound	sound	NN
14725	177	49	are	be	VBP
14725	177	50	capable	capable	JJ
14725	177	51	of	of	IN
14725	177	52	giving	give	VBG
14725	177	53	rise	rise	NN
14725	177	54	to	to	IN
14725	177	55	Light	Light	NNP
14725	177	56	,	,	,
14725	177	57	even	even	RB
14725	177	58	as	as	IN
14725	177	59	the	the	DT
14725	177	60	movement	movement	NN
14725	177	61	of	of	IN
14725	177	62	the	the	DT
14725	177	63	hand	hand	NN
14725	177	64	in	in	IN
14725	177	65	the	the	DT
14725	177	66	air	air	NN
14725	177	67	is	be	VBZ
14725	177	68	not	not	RB
14725	177	69	capable	capable	JJ
14725	177	70	of	of	IN
14725	177	71	producing	produce	VBG
14725	177	72	Sound	sound	NN
14725	177	73	.	.	.
14725	178	1	Now	now	RB
14725	178	2	if	if	IN
14725	178	3	one	one	CD
14725	178	4	examines	examine	VBZ
14725	178	5	what	what	WP
14725	178	6	this	this	DT
14725	178	7	matter	matter	NN
14725	178	8	may	may	MD
14725	178	9	be	be	VB
14725	178	10	in	in	IN
14725	178	11	which	which	WDT
14725	178	12	the	the	DT
14725	178	13	movement	movement	NN
14725	178	14	coming	come	VBG
14725	178	15	from	from	IN
14725	178	16	the	the	DT
14725	178	17	luminous	luminous	JJ
14725	178	18	body	body	NN
14725	178	19	is	be	VBZ
14725	178	20	propagated	propagate	VBN
14725	178	21	,	,	,
14725	178	22	which	which	WDT
14725	178	23	I	-PRON-	PRP
14725	178	24	call	call	VBP
14725	178	25	Ethereal	Ethereal	NNP
14725	178	26	matter	matter	NN
14725	178	27	,	,	,
14725	178	28	one	one	PRP
14725	178	29	will	will	MD
14725	178	30	see	see	VB
14725	178	31	that	that	IN
14725	178	32	it	-PRON-	PRP
14725	178	33	is	be	VBZ
14725	178	34	not	not	RB
14725	178	35	the	the	DT
14725	178	36	same	same	JJ
14725	178	37	that	that	WDT
14725	178	38	serves	serve	VBZ
14725	178	39	for	for	IN
14725	178	40	the	the	DT
14725	178	41	propagation	propagation	NN
14725	178	42	of	of	IN
14725	178	43	Sound	Sound	NNP
14725	178	44	.	.	.
14725	179	1	For	for	IN
14725	179	2	one	one	CD
14725	179	3	finds	find	VBZ
14725	179	4	that	that	IN
14725	179	5	the	the	DT
14725	179	6	latter	latter	NN
14725	179	7	is	be	VBZ
14725	179	8	really	really	RB
14725	179	9	that	that	IN
14725	179	10	which	which	WDT
14725	179	11	we	-PRON-	PRP
14725	179	12	feel	feel	VBP
14725	179	13	and	and	CC
14725	179	14	which	which	WDT
14725	179	15	we	-PRON-	PRP
14725	179	16	breathe	breathe	VBP
14725	179	17	,	,	,
14725	179	18	and	and	CC
14725	179	19	which	which	WDT
14725	179	20	being	be	VBG
14725	179	21	removed	remove	VBN
14725	179	22	from	from	IN
14725	179	23	any	any	DT
14725	179	24	place	place	NN
14725	179	25	still	still	RB
14725	179	26	leaves	leave	VBZ
14725	179	27	there	there	RB
14725	179	28	the	the	DT
14725	179	29	other	other	JJ
14725	179	30	kind	kind	NN
14725	179	31	of	of	IN
14725	179	32	matter	matter	NN
14725	179	33	that	that	WDT
14725	179	34	serves	serve	VBZ
14725	179	35	to	to	TO
14725	179	36	convey	convey	VB
14725	179	37	Light	light	NN
14725	179	38	.	.	.
14725	180	1	This	this	DT
14725	180	2	may	may	MD
14725	180	3	be	be	VB
14725	180	4	proved	prove	VBN
14725	180	5	by	by	IN
14725	180	6	shutting	shut	VBG
14725	180	7	up	up	RP
14725	180	8	a	a	DT
14725	180	9	sounding	sound	VBG
14725	180	10	body	body	NN
14725	180	11	in	in	IN
14725	180	12	a	a	DT
14725	180	13	glass	glass	NN
14725	180	14	vessel	vessel	NN
14725	180	15	from	from	IN
14725	180	16	which	which	WDT
14725	180	17	the	the	DT
14725	180	18	air	air	NN
14725	180	19	is	be	VBZ
14725	180	20	withdrawn	withdraw	VBN
14725	180	21	by	by	IN
14725	180	22	the	the	DT
14725	180	23	machine	machine	NN
14725	180	24	which	which	WDT
14725	180	25	Mr.	Mr.	NNP
14725	180	26	Boyle	Boyle	NNP
14725	180	27	has	have	VBZ
14725	180	28	given	give	VBN
14725	180	29	us	-PRON-	PRP
14725	180	30	,	,	,
14725	180	31	and	and	CC
14725	180	32	with	with	IN
14725	180	33	which	which	WDT
14725	180	34	he	-PRON-	PRP
14725	180	35	has	have	VBZ
14725	180	36	performed	perform	VBN
14725	180	37	so	so	RB
14725	180	38	many	many	JJ
14725	180	39	beautiful	beautiful	JJ
14725	180	40	experiments	experiment	NNS
14725	180	41	.	.	.
14725	181	1	But	but	CC
14725	181	2	in	in	IN
14725	181	3	doing	do	VBG
14725	181	4	this	this	DT
14725	181	5	of	of	IN
14725	181	6	which	which	WDT
14725	181	7	I	-PRON-	PRP
14725	181	8	speak	speak	VBP
14725	181	9	,	,	,
14725	181	10	care	care	NN
14725	181	11	must	must	MD
14725	181	12	be	be	VB
14725	181	13	taken	take	VBN
14725	181	14	to	to	TO
14725	181	15	place	place	VB
14725	181	16	the	the	DT
14725	181	17	sounding	sound	VBG
14725	181	18	body	body	NN
14725	181	19	on	on	IN
14725	181	20	cotton	cotton	NN
14725	181	21	or	or	CC
14725	181	22	on	on	IN
14725	181	23	feathers	feather	NNS
14725	181	24	,	,	,
14725	181	25	in	in	IN
14725	181	26	such	such	PDT
14725	181	27	a	a	DT
14725	181	28	way	way	NN
14725	181	29	that	that	WDT
14725	181	30	it	-PRON-	PRP
14725	181	31	can	can	MD
14725	181	32	not	not	RB
14725	181	33	communicate	communicate	VB
14725	181	34	its	-PRON-	PRP$
14725	181	35	tremors	tremor	NNS
14725	181	36	either	either	CC
14725	181	37	to	to	IN
14725	181	38	the	the	DT
14725	181	39	glass	glass	NN
14725	181	40	vessel	vessel	NN
14725	181	41	which	which	WDT
14725	181	42	encloses	enclose	VBZ
14725	181	43	it	-PRON-	PRP
14725	181	44	,	,	,
14725	181	45	or	or	CC
14725	181	46	to	to	IN
14725	181	47	the	the	DT
14725	181	48	machine	machine	NN
14725	181	49	;	;	:
14725	181	50	a	a	DT
14725	181	51	precaution	precaution	NN
14725	181	52	which	which	WDT
14725	181	53	has	have	VBZ
14725	181	54	hitherto	hitherto	VBN
14725	181	55	been	be	VBN
14725	181	56	neglected	neglect	VBN
14725	181	57	.	.	.
14725	182	1	For	for	IN
14725	182	2	then	then	RB
14725	182	3	after	after	IN
14725	182	4	having	have	VBG
14725	182	5	exhausted	exhaust	VBN
14725	182	6	all	all	PDT
14725	182	7	the	the	DT
14725	182	8	air	air	NN
14725	182	9	one	one	NN
14725	182	10	hears	hear	VBZ
14725	182	11	no	no	DT
14725	182	12	Sound	sound	NN
14725	182	13	from	from	IN
14725	182	14	the	the	DT
14725	182	15	metal	metal	NN
14725	182	16	,	,	,
14725	182	17	though	though	IN
14725	182	18	it	-PRON-	PRP
14725	182	19	is	be	VBZ
14725	182	20	struck	strike	VBN
14725	182	21	.	.	.
14725	183	1	One	one	PRP
14725	183	2	sees	see	VBZ
14725	183	3	here	here	RB
14725	183	4	not	not	RB
14725	183	5	only	only	RB
14725	183	6	that	that	IN
14725	183	7	our	-PRON-	PRP$
14725	183	8	air	air	NN
14725	183	9	,	,	,
14725	183	10	which	which	WDT
14725	183	11	does	do	VBZ
14725	183	12	not	not	RB
14725	183	13	penetrate	penetrate	VB
14725	183	14	through	through	IN
14725	183	15	glass	glass	NN
14725	183	16	,	,	,
14725	183	17	is	be	VBZ
14725	183	18	the	the	DT
14725	183	19	matter	matter	NN
14725	183	20	by	by	IN
14725	183	21	which	which	WDT
14725	183	22	Sound	Sound	NNP
14725	183	23	spreads	spread	VBZ
14725	183	24	;	;	:
14725	183	25	but	but	CC
14725	183	26	also	also	RB
14725	183	27	that	that	IN
14725	183	28	it	-PRON-	PRP
14725	183	29	is	be	VBZ
14725	183	30	not	not	RB
14725	183	31	the	the	DT
14725	183	32	same	same	JJ
14725	183	33	air	air	NN
14725	183	34	but	but	CC
14725	183	35	another	another	DT
14725	183	36	kind	kind	NN
14725	183	37	of	of	IN
14725	183	38	matter	matter	NN
14725	183	39	in	in	IN
14725	183	40	which	which	WDT
14725	183	41	Light	Light	NNP
14725	183	42	spreads	spread	VBZ
14725	183	43	;	;	:
14725	183	44	since	since	IN
14725	183	45	if	if	IN
14725	183	46	the	the	DT
14725	183	47	air	air	NN
14725	183	48	is	be	VBZ
14725	183	49	removed	remove	VBN
14725	183	50	from	from	IN
14725	183	51	the	the	DT
14725	183	52	vessel	vessel	NN
14725	183	53	the	the	DT
14725	183	54	Light	light	NN
14725	183	55	does	do	VBZ
14725	183	56	not	not	RB
14725	183	57	cease	cease	VB
14725	183	58	to	to	TO
14725	183	59	traverse	traverse	VB
14725	183	60	it	-PRON-	PRP
14725	183	61	as	as	IN
14725	183	62	before	before	RB
14725	183	63	.	.	.
14725	184	1	And	and	CC
14725	184	2	this	this	DT
14725	184	3	last	last	JJ
14725	184	4	point	point	NN
14725	184	5	is	be	VBZ
14725	184	6	demonstrated	demonstrate	VBN
14725	184	7	even	even	RB
14725	184	8	more	more	RBR
14725	184	9	clearly	clearly	RB
14725	184	10	by	by	IN
14725	184	11	the	the	DT
14725	184	12	celebrated	celebrated	JJ
14725	184	13	experiment	experiment	NN
14725	184	14	of	of	IN
14725	184	15	Torricelli	Torricelli	NNP
14725	184	16	,	,	,
14725	184	17	in	in	IN
14725	184	18	which	which	WDT
14725	184	19	the	the	DT
14725	184	20	tube	tube	NN
14725	184	21	of	of	IN
14725	184	22	glass	glass	NN
14725	184	23	from	from	IN
14725	184	24	which	which	WDT
14725	184	25	the	the	DT
14725	184	26	quicksilver	quicksilver	NN
14725	184	27	has	have	VBZ
14725	184	28	withdrawn	withdraw	VBN
14725	184	29	itself	-PRON-	PRP
14725	184	30	,	,	,
14725	184	31	remaining	remain	VBG
14725	184	32	void	void	NN
14725	184	33	of	of	IN
14725	184	34	air	air	NN
14725	184	35	,	,	,
14725	184	36	transmits	transmit	NNS
14725	184	37	Light	Light	NNP
14725	184	38	just	just	RB
14725	184	39	the	the	DT
14725	184	40	same	same	JJ
14725	184	41	as	as	IN
14725	184	42	when	when	WRB
14725	184	43	air	air	NN
14725	184	44	is	be	VBZ
14725	184	45	in	in	IN
14725	184	46	it	-PRON-	PRP
14725	184	47	.	.	.
14725	185	1	For	for	IN
14725	185	2	this	this	DT
14725	185	3	proves	prove	VBZ
14725	185	4	that	that	IN
14725	185	5	a	a	DT
14725	185	6	matter	matter	RB
14725	185	7	different	different	JJ
14725	185	8	from	from	IN
14725	185	9	air	air	NN
14725	185	10	exists	exist	VBZ
14725	185	11	in	in	IN
14725	185	12	this	this	DT
14725	185	13	tube	tube	NN
14725	185	14	,	,	,
14725	185	15	and	and	CC
14725	185	16	that	that	IN
14725	185	17	this	this	DT
14725	185	18	matter	matter	NN
14725	185	19	must	must	MD
14725	185	20	have	have	VB
14725	185	21	penetrated	penetrate	VBN
14725	185	22	the	the	DT
14725	185	23	glass	glass	NN
14725	185	24	or	or	CC
14725	185	25	the	the	DT
14725	185	26	quicksilver	quicksilver	NN
14725	185	27	,	,	,
14725	185	28	either	either	CC
14725	185	29	one	one	CD
14725	185	30	or	or	CC
14725	185	31	the	the	DT
14725	185	32	other	other	JJ
14725	185	33	,	,	,
14725	185	34	though	though	IN
14725	185	35	they	-PRON-	PRP
14725	185	36	are	be	VBP
14725	185	37	both	both	DT
14725	185	38	impenetrable	impenetrable	JJ
14725	185	39	to	to	IN
14725	185	40	the	the	DT
14725	185	41	air	air	NN
14725	185	42	.	.	.
14725	186	1	And	and	CC
14725	186	2	when	when	WRB
14725	186	3	,	,	,
14725	186	4	in	in	IN
14725	186	5	the	the	DT
14725	186	6	same	same	JJ
14725	186	7	experiment	experiment	NN
14725	186	8	,	,	,
14725	186	9	one	one	PRP
14725	186	10	makes	make	VBZ
14725	186	11	the	the	DT
14725	186	12	vacuum	vacuum	NN
14725	186	13	after	after	IN
14725	186	14	putting	put	VBG
14725	186	15	a	a	DT
14725	186	16	little	little	JJ
14725	186	17	water	water	NN
14725	186	18	above	above	IN
14725	186	19	the	the	DT
14725	186	20	quicksilver	quicksilver	NN
14725	186	21	,	,	,
14725	186	22	one	one	NN
14725	186	23	concludes	conclude	VBZ
14725	186	24	equally	equally	RB
14725	186	25	that	that	IN
14725	186	26	the	the	DT
14725	186	27	said	said	JJ
14725	186	28	matter	matter	NN
14725	186	29	passes	pass	VBZ
14725	186	30	through	through	IN
14725	186	31	glass	glass	NN
14725	186	32	or	or	CC
14725	186	33	water	water	NN
14725	186	34	,	,	,
14725	186	35	or	or	CC
14725	186	36	through	through	IN
14725	186	37	both	both	DT
14725	186	38	.	.	.
14725	187	1	As	as	IN
14725	187	2	regards	regard	VBZ
14725	187	3	the	the	DT
14725	187	4	different	different	JJ
14725	187	5	modes	mode	NNS
14725	187	6	in	in	IN
14725	187	7	which	which	WDT
14725	187	8	I	-PRON-	PRP
14725	187	9	have	have	VBP
14725	187	10	said	say	VBN
14725	187	11	the	the	DT
14725	187	12	movements	movement	NNS
14725	187	13	of	of	IN
14725	187	14	Sound	Sound	NNP
14725	187	15	and	and	CC
14725	187	16	of	of	IN
14725	187	17	Light	light	NN
14725	187	18	are	be	VBP
14725	187	19	communicated	communicate	VBN
14725	187	20	,	,	,
14725	187	21	one	one	PRP
14725	187	22	may	may	MD
14725	187	23	sufficiently	sufficiently	RB
14725	187	24	comprehend	comprehend	VB
14725	187	25	how	how	WRB
14725	187	26	this	this	DT
14725	187	27	occurs	occur	VBZ
14725	187	28	in	in	IN
14725	187	29	the	the	DT
14725	187	30	case	case	NN
14725	187	31	of	of	IN
14725	187	32	Sound	Sound	NNP
14725	187	33	if	if	IN
14725	187	34	one	one	CD
14725	187	35	considers	consider	VBZ
14725	187	36	that	that	IN
14725	187	37	the	the	DT
14725	187	38	air	air	NN
14725	187	39	is	be	VBZ
14725	187	40	of	of	IN
14725	187	41	such	such	PDT
14725	187	42	a	a	DT
14725	187	43	nature	nature	NN
14725	187	44	that	that	IN
14725	187	45	it	-PRON-	PRP
14725	187	46	can	can	MD
14725	187	47	be	be	VB
14725	187	48	compressed	compress	VBN
14725	187	49	and	and	CC
14725	187	50	reduced	reduce	VBN
14725	187	51	to	to	IN
14725	187	52	a	a	DT
14725	187	53	much	much	RB
14725	187	54	smaller	small	JJR
14725	187	55	space	space	NN
14725	187	56	than	than	IN
14725	187	57	that	that	DT
14725	187	58	which	which	WDT
14725	187	59	it	-PRON-	PRP
14725	187	60	ordinarily	ordinarily	RB
14725	187	61	occupies	occupy	VBZ
14725	187	62	.	.	.
14725	188	1	And	and	CC
14725	188	2	in	in	IN
14725	188	3	proportion	proportion	NN
14725	188	4	as	as	IN
14725	188	5	it	-PRON-	PRP
14725	188	6	is	be	VBZ
14725	188	7	compressed	compress	VBN
14725	188	8	the	the	DT
14725	188	9	more	more	JJR
14725	188	10	does	do	VBZ
14725	188	11	it	-PRON-	PRP
14725	188	12	exert	exert	VB
14725	188	13	an	an	DT
14725	188	14	effort	effort	NN
14725	188	15	to	to	TO
14725	188	16	regain	regain	VB
14725	188	17	its	-PRON-	PRP$
14725	188	18	volume	volume	NN
14725	188	19	;	;	:
14725	188	20	for	for	IN
14725	188	21	this	this	DT
14725	188	22	property	property	NN
14725	188	23	along	along	IN
14725	188	24	with	with	IN
14725	188	25	its	-PRON-	PRP$
14725	188	26	penetrability	penetrability	NN
14725	188	27	,	,	,
14725	188	28	which	which	WDT
14725	188	29	remains	remain	VBZ
14725	188	30	notwithstanding	notwithstanding	IN
14725	188	31	its	-PRON-	PRP$
14725	188	32	compression	compression	NN
14725	188	33	,	,	,
14725	188	34	seems	seem	VBZ
14725	188	35	to	to	TO
14725	188	36	prove	prove	VB
14725	188	37	that	that	IN
14725	188	38	it	-PRON-	PRP
14725	188	39	is	be	VBZ
14725	188	40	made	make	VBN
14725	188	41	up	up	RP
14725	188	42	of	of	IN
14725	188	43	small	small	JJ
14725	188	44	bodies	body	NNS
14725	188	45	which	which	WDT
14725	188	46	float	float	VBP
14725	188	47	about	about	IN
14725	188	48	and	and	CC
14725	188	49	which	which	WDT
14725	188	50	are	be	VBP
14725	188	51	agitated	agitate	VBN
14725	188	52	very	very	RB
14725	188	53	rapidly	rapidly	RB
14725	188	54	in	in	IN
14725	188	55	the	the	DT
14725	188	56	ethereal	ethereal	JJ
14725	188	57	matter	matter	NN
14725	188	58	composed	compose	VBN
14725	188	59	of	of	IN
14725	188	60	much	much	JJ
14725	188	61	smaller	small	JJR
14725	188	62	parts	part	NNS
14725	188	63	.	.	.
14725	189	1	So	so	RB
14725	189	2	that	that	IN
14725	189	3	the	the	DT
14725	189	4	cause	cause	NN
14725	189	5	of	of	IN
14725	189	6	the	the	DT
14725	189	7	spreading	spreading	NN
14725	189	8	of	of	IN
14725	189	9	Sound	Sound	NNP
14725	189	10	is	be	VBZ
14725	189	11	the	the	DT
14725	189	12	effort	effort	NN
14725	189	13	which	which	WDT
14725	189	14	these	these	DT
14725	189	15	little	little	JJ
14725	189	16	bodies	body	NNS
14725	189	17	make	make	VBP
14725	189	18	in	in	IN
14725	189	19	collisions	collision	NNS
14725	189	20	with	with	IN
14725	189	21	one	one	CD
14725	189	22	another	another	DT
14725	189	23	,	,	,
14725	189	24	to	to	TO
14725	189	25	regain	regain	VB
14725	189	26	freedom	freedom	NN
14725	189	27	when	when	WRB
14725	189	28	they	-PRON-	PRP
14725	189	29	are	be	VBP
14725	189	30	a	a	DT
14725	189	31	little	little	RB
14725	189	32	more	more	RBR
14725	189	33	squeezed	squeeze	VBN
14725	189	34	together	together	RB
14725	189	35	in	in	IN
14725	189	36	the	the	DT
14725	189	37	circuit	circuit	NN
14725	189	38	of	of	IN
14725	189	39	these	these	DT
14725	189	40	waves	wave	NNS
14725	189	41	than	than	IN
14725	189	42	elsewhere	elsewhere	RB
14725	189	43	.	.	.
14725	190	1	But	but	CC
14725	190	2	the	the	DT
14725	190	3	extreme	extreme	JJ
14725	190	4	velocity	velocity	NN
14725	190	5	of	of	IN
14725	190	6	Light	Light	NNP
14725	190	7	,	,	,
14725	190	8	and	and	CC
14725	190	9	other	other	JJ
14725	190	10	properties	property	NNS
14725	190	11	which	which	WDT
14725	190	12	it	-PRON-	PRP
14725	190	13	has	have	VBZ
14725	190	14	,	,	,
14725	190	15	can	can	MD
14725	190	16	not	not	RB
14725	190	17	admit	admit	VB
14725	190	18	of	of	IN
14725	190	19	such	such	PDT
14725	190	20	a	a	DT
14725	190	21	propagation	propagation	NN
14725	190	22	of	of	IN
14725	190	23	motion	motion	NN
14725	190	24	,	,	,
14725	190	25	and	and	CC
14725	190	26	I	-PRON-	PRP
14725	190	27	am	be	VBP
14725	190	28	about	about	JJ
14725	190	29	to	to	TO
14725	190	30	show	show	VB
14725	190	31	here	here	RB
14725	190	32	the	the	DT
14725	190	33	way	way	NN
14725	190	34	in	in	IN
14725	190	35	which	which	WDT
14725	190	36	I	-PRON-	PRP
14725	190	37	conceive	conceive	VBP
14725	190	38	it	-PRON-	PRP
14725	190	39	must	must	MD
14725	190	40	occur	occur	VB
14725	190	41	.	.	.
14725	191	1	For	for	IN
14725	191	2	this	this	DT
14725	191	3	,	,	,
14725	191	4	it	-PRON-	PRP
14725	191	5	is	be	VBZ
14725	191	6	needful	needful	JJ
14725	191	7	to	to	TO
14725	191	8	explain	explain	VB
14725	191	9	the	the	DT
14725	191	10	property	property	NN
14725	191	11	which	which	WDT
14725	191	12	hard	hard	JJ
14725	191	13	bodies	body	NNS
14725	191	14	must	must	MD
14725	191	15	possess	possess	VB
14725	191	16	to	to	TO
14725	191	17	transmit	transmit	VB
14725	191	18	movement	movement	NN
14725	191	19	from	from	IN
14725	191	20	one	one	CD
14725	191	21	to	to	IN
14725	191	22	another	another	DT
14725	191	23	.	.	.
14725	192	1	When	when	WRB
14725	192	2	one	one	PRP
14725	192	3	takes	take	VBZ
14725	192	4	a	a	DT
14725	192	5	number	number	NN
14725	192	6	of	of	IN
14725	192	7	spheres	sphere	NNS
14725	192	8	of	of	IN
14725	192	9	equal	equal	JJ
14725	192	10	size	size	NN
14725	192	11	,	,	,
14725	192	12	made	make	VBN
14725	192	13	of	of	IN
14725	192	14	some	some	DT
14725	192	15	very	very	RB
14725	192	16	hard	hard	JJ
14725	192	17	substance	substance	NN
14725	192	18	,	,	,
14725	192	19	and	and	CC
14725	192	20	arranges	arrange	VBZ
14725	192	21	them	-PRON-	PRP
14725	192	22	in	in	IN
14725	192	23	a	a	DT
14725	192	24	straight	straight	JJ
14725	192	25	line	line	NN
14725	192	26	,	,	,
14725	192	27	so	so	IN
14725	192	28	that	that	IN
14725	192	29	they	-PRON-	PRP
14725	192	30	touch	touch	VBP
14725	192	31	one	one	CD
14725	192	32	another	another	DT
14725	192	33	,	,	,
14725	192	34	one	one	CD
14725	192	35	finds	find	VBZ
14725	192	36	,	,	,
14725	192	37	on	on	IN
14725	192	38	striking	strike	VBG
14725	192	39	with	with	IN
14725	192	40	a	a	DT
14725	192	41	similar	similar	JJ
14725	192	42	sphere	sphere	NN
14725	192	43	against	against	IN
14725	192	44	the	the	DT
14725	192	45	first	first	JJ
14725	192	46	of	of	IN
14725	192	47	these	these	DT
14725	192	48	spheres	sphere	NNS
14725	192	49	,	,	,
14725	192	50	that	that	IN
14725	192	51	the	the	DT
14725	192	52	motion	motion	NN
14725	192	53	passes	pass	VBZ
14725	192	54	as	as	IN
14725	192	55	in	in	IN
14725	192	56	an	an	DT
14725	192	57	instant	instant	NN
14725	192	58	to	to	IN
14725	192	59	the	the	DT
14725	192	60	last	last	JJ
14725	192	61	of	of	IN
14725	192	62	them	-PRON-	PRP
14725	192	63	,	,	,
14725	192	64	which	which	WDT
14725	192	65	separates	separate	VBZ
14725	192	66	itself	-PRON-	PRP
14725	192	67	from	from	IN
14725	192	68	the	the	DT
14725	192	69	row	row	NN
14725	192	70	,	,	,
14725	192	71	without	without	IN
14725	192	72	one	one	PRP
14725	192	73	's	be	VBZ
14725	192	74	being	be	VBG
14725	192	75	able	able	JJ
14725	192	76	to	to	TO
14725	192	77	perceive	perceive	VB
14725	192	78	that	that	IN
14725	192	79	the	the	DT
14725	192	80	others	other	NNS
14725	192	81	have	have	VBP
14725	192	82	been	be	VBN
14725	192	83	stirred	stir	VBN
14725	192	84	.	.	.
14725	193	1	And	and	CC
14725	193	2	even	even	RB
14725	193	3	that	that	DT
14725	193	4	one	one	NN
14725	193	5	which	which	WDT
14725	193	6	was	be	VBD
14725	193	7	used	use	VBN
14725	193	8	to	to	TO
14725	193	9	strike	strike	VB
14725	193	10	remains	remain	VBZ
14725	193	11	motionless	motionless	JJ
14725	193	12	with	with	IN
14725	193	13	them	-PRON-	PRP
14725	193	14	.	.	.
14725	194	1	Whence	whence	IN
14725	194	2	one	one	NN
14725	194	3	sees	see	VBZ
14725	194	4	that	that	IN
14725	194	5	the	the	DT
14725	194	6	movement	movement	NN
14725	194	7	passes	pass	VBZ
14725	194	8	with	with	IN
14725	194	9	an	an	DT
14725	194	10	extreme	extreme	JJ
14725	194	11	velocity	velocity	NN
14725	194	12	which	which	WDT
14725	194	13	is	be	VBZ
14725	194	14	the	the	DT
14725	194	15	greater	great	JJR
14725	194	16	,	,	,
14725	194	17	the	the	DT
14725	194	18	greater	great	JJR
14725	194	19	the	the	DT
14725	194	20	hardness	hardness	NN
14725	194	21	of	of	IN
14725	194	22	the	the	DT
14725	194	23	substance	substance	NN
14725	194	24	of	of	IN
14725	194	25	the	the	DT
14725	194	26	spheres	sphere	NNS
14725	194	27	.	.	.
14725	195	1	But	but	CC
14725	195	2	it	-PRON-	PRP
14725	195	3	is	be	VBZ
14725	195	4	still	still	RB
14725	195	5	certain	certain	JJ
14725	195	6	that	that	IN
14725	195	7	this	this	DT
14725	195	8	progression	progression	NN
14725	195	9	of	of	IN
14725	195	10	motion	motion	NN
14725	195	11	is	be	VBZ
14725	195	12	not	not	RB
14725	195	13	instantaneous	instantaneous	JJ
14725	195	14	,	,	,
14725	195	15	but	but	CC
14725	195	16	successive	successive	JJ
14725	195	17	,	,	,
14725	195	18	and	and	CC
14725	195	19	therefore	therefore	RB
14725	195	20	must	must	MD
14725	195	21	take	take	VB
14725	195	22	time	time	NN
14725	195	23	.	.	.
14725	196	1	For	for	IN
14725	196	2	if	if	IN
14725	196	3	the	the	DT
14725	196	4	movement	movement	NN
14725	196	5	,	,	,
14725	196	6	or	or	CC
14725	196	7	the	the	DT
14725	196	8	disposition	disposition	NN
14725	196	9	to	to	IN
14725	196	10	movement	movement	NN
14725	196	11	,	,	,
14725	196	12	if	if	IN
14725	196	13	you	-PRON-	PRP
14725	196	14	will	will	MD
14725	196	15	have	have	VB
14725	196	16	it	-PRON-	PRP
14725	196	17	so	so	RB
14725	196	18	,	,	,
14725	196	19	did	do	VBD
14725	196	20	not	not	RB
14725	196	21	pass	pass	VB
14725	196	22	successively	successively	RB
14725	196	23	through	through	IN
14725	196	24	all	all	PDT
14725	196	25	these	these	DT
14725	196	26	spheres	sphere	NNS
14725	196	27	,	,	,
14725	196	28	they	-PRON-	PRP
14725	196	29	would	would	MD
14725	196	30	all	all	RB
14725	196	31	acquire	acquire	VB
14725	196	32	the	the	DT
14725	196	33	movement	movement	NN
14725	196	34	at	at	IN
14725	196	35	the	the	DT
14725	196	36	same	same	JJ
14725	196	37	time	time	NN
14725	196	38	,	,	,
14725	196	39	and	and	CC
14725	196	40	hence	hence	RB
14725	196	41	would	would	MD
14725	196	42	all	all	RB
14725	196	43	advance	advance	VB
14725	196	44	together	together	RB
14725	196	45	;	;	:
14725	196	46	which	which	WDT
14725	196	47	does	do	VBZ
14725	196	48	not	not	RB
14725	196	49	happen	happen	VB
14725	196	50	.	.	.
14725	197	1	For	for	IN
14725	197	2	the	the	DT
14725	197	3	last	last	JJ
14725	197	4	one	one	NN
14725	197	5	leaves	leave	VBZ
14725	197	6	the	the	DT
14725	197	7	whole	whole	JJ
14725	197	8	row	row	NN
14725	197	9	and	and	CC
14725	197	10	acquires	acquire	VBZ
14725	197	11	the	the	DT
14725	197	12	speed	speed	NN
14725	197	13	of	of	IN
14725	197	14	the	the	DT
14725	197	15	one	one	NN
14725	197	16	which	which	WDT
14725	197	17	was	be	VBD
14725	197	18	pushed	push	VBN
14725	197	19	.	.	.
14725	198	1	Moreover	moreover	RB
14725	198	2	there	there	EX
14725	198	3	are	be	VBP
14725	198	4	experiments	experiment	NNS
14725	198	5	which	which	WDT
14725	198	6	demonstrate	demonstrate	VBP
14725	198	7	that	that	IN
14725	198	8	all	all	PDT
14725	198	9	the	the	DT
14725	198	10	bodies	body	NNS
14725	198	11	which	which	WDT
14725	198	12	we	-PRON-	PRP
14725	198	13	reckon	reckon	VBP
14725	198	14	of	of	IN
14725	198	15	the	the	DT
14725	198	16	hardest	hard	JJS
14725	198	17	kind	kind	NN
14725	198	18	,	,	,
14725	198	19	such	such	JJ
14725	198	20	as	as	IN
14725	198	21	quenched	quench	VBN
14725	198	22	steel	steel	NN
14725	198	23	,	,	,
14725	198	24	glass	glass	NN
14725	198	25	,	,	,
14725	198	26	and	and	CC
14725	198	27	agate	agate	VB
14725	198	28	,	,	,
14725	198	29	act	act	VBP
14725	198	30	as	as	IN
14725	198	31	springs	spring	NNS
14725	198	32	and	and	CC
14725	198	33	bend	bend	VB
14725	198	34	somehow	somehow	RB
14725	198	35	,	,	,
14725	198	36	not	not	RB
14725	198	37	only	only	RB
14725	198	38	when	when	WRB
14725	198	39	extended	extend	VBN
14725	198	40	as	as	IN
14725	198	41	rods	rod	NNS
14725	198	42	but	but	CC
14725	198	43	also	also	RB
14725	198	44	when	when	WRB
14725	198	45	they	-PRON-	PRP
14725	198	46	are	be	VBP
14725	198	47	in	in	IN
14725	198	48	the	the	DT
14725	198	49	form	form	NN
14725	198	50	of	of	IN
14725	198	51	spheres	sphere	NNS
14725	198	52	or	or	CC
14725	198	53	of	of	IN
14725	198	54	other	other	JJ
14725	198	55	shapes	shape	NNS
14725	198	56	.	.	.
14725	199	1	That	that	DT
14725	199	2	is	be	VBZ
14725	199	3	to	to	TO
14725	199	4	say	say	VB
14725	199	5	they	-PRON-	PRP
14725	199	6	yield	yield	VBP
14725	199	7	a	a	DT
14725	199	8	little	little	JJ
14725	199	9	in	in	IN
14725	199	10	themselves	-PRON-	PRP
14725	199	11	at	at	IN
14725	199	12	the	the	DT
14725	199	13	place	place	NN
14725	199	14	where	where	WRB
14725	199	15	they	-PRON-	PRP
14725	199	16	are	be	VBP
14725	199	17	struck	strike	VBN
14725	199	18	,	,	,
14725	199	19	and	and	CC
14725	199	20	immediately	immediately	RB
14725	199	21	regain	regain	VB
14725	199	22	their	-PRON-	PRP$
14725	199	23	former	former	JJ
14725	199	24	figure	figure	NN
14725	199	25	.	.	.
14725	200	1	For	for	IN
14725	200	2	I	-PRON-	PRP
14725	200	3	have	have	VBP
14725	200	4	found	find	VBN
14725	200	5	that	that	IN
14725	200	6	on	on	IN
14725	200	7	striking	strike	VBG
14725	200	8	with	with	IN
14725	200	9	a	a	DT
14725	200	10	ball	ball	NN
14725	200	11	of	of	IN
14725	200	12	glass	glass	NN
14725	200	13	or	or	CC
14725	200	14	of	of	IN
14725	200	15	agate	agate	NN
14725	200	16	against	against	IN
14725	200	17	a	a	DT
14725	200	18	large	large	JJ
14725	200	19	and	and	CC
14725	200	20	quite	quite	RB
14725	200	21	thick	thick	JJ
14725	200	22	thick	thick	JJ
14725	200	23	piece	piece	NN
14725	200	24	of	of	IN
14725	200	25	the	the	DT
14725	200	26	same	same	JJ
14725	200	27	substance	substance	NN
14725	200	28	which	which	WDT
14725	200	29	had	have	VBD
14725	200	30	a	a	DT
14725	200	31	flat	flat	JJ
14725	200	32	surface	surface	NN
14725	200	33	,	,	,
14725	200	34	slightly	slightly	RB
14725	200	35	soiled	soil	VBN
14725	200	36	with	with	IN
14725	200	37	breath	breath	NN
14725	200	38	or	or	CC
14725	200	39	in	in	IN
14725	200	40	some	some	DT
14725	200	41	other	other	JJ
14725	200	42	way	way	NN
14725	200	43	,	,	,
14725	200	44	there	there	EX
14725	200	45	remained	remain	VBD
14725	200	46	round	round	JJ
14725	200	47	marks	mark	NNS
14725	200	48	,	,	,
14725	200	49	of	of	IN
14725	200	50	smaller	small	JJR
14725	200	51	or	or	CC
14725	200	52	larger	large	JJR
14725	200	53	size	size	NN
14725	200	54	according	accord	VBG
14725	200	55	as	as	IN
14725	200	56	the	the	DT
14725	200	57	blow	blow	NN
14725	200	58	had	have	VBD
14725	200	59	been	be	VBN
14725	200	60	weak	weak	JJ
14725	200	61	or	or	CC
14725	200	62	strong	strong	JJ
14725	200	63	.	.	.
14725	201	1	This	this	DT
14725	201	2	makes	make	VBZ
14725	201	3	it	-PRON-	PRP
14725	201	4	evident	evident	JJ
14725	201	5	that	that	IN
14725	201	6	these	these	DT
14725	201	7	substances	substance	NNS
14725	201	8	yield	yield	VBP
14725	201	9	where	where	WRB
14725	201	10	they	-PRON-	PRP
14725	201	11	meet	meet	VBP
14725	201	12	,	,	,
14725	201	13	and	and	CC
14725	201	14	spring	spring	VB
14725	201	15	back	back	RB
14725	201	16	:	:	:
14725	201	17	and	and	CC
14725	201	18	for	for	IN
14725	201	19	this	this	DT
14725	201	20	time	time	NN
14725	201	21	must	must	MD
14725	201	22	be	be	VB
14725	201	23	required	require	VBN
14725	201	24	.	.	.
14725	202	1	Now	now	RB
14725	202	2	in	in	IN
14725	202	3	applying	apply	VBG
14725	202	4	this	this	DT
14725	202	5	kind	kind	NN
14725	202	6	of	of	IN
14725	202	7	movement	movement	NN
14725	202	8	to	to	IN
14725	202	9	that	that	DT
14725	202	10	which	which	WDT
14725	202	11	produces	produce	VBZ
14725	202	12	Light	Light	NNP
14725	202	13	there	there	EX
14725	202	14	is	be	VBZ
14725	202	15	nothing	nothing	NN
14725	202	16	to	to	TO
14725	202	17	hinder	hinder	VB
14725	202	18	us	-PRON-	PRP
14725	202	19	from	from	IN
14725	202	20	estimating	estimate	VBG
14725	202	21	the	the	DT
14725	202	22	particles	particle	NNS
14725	202	23	of	of	IN
14725	202	24	the	the	DT
14725	202	25	ether	ether	NN
14725	202	26	to	to	TO
14725	202	27	be	be	VB
14725	202	28	of	of	IN
14725	202	29	a	a	DT
14725	202	30	substance	substance	NN
14725	202	31	as	as	IN
14725	202	32	nearly	nearly	RB
14725	202	33	approaching	approach	VBG
14725	202	34	to	to	IN
14725	202	35	perfect	perfect	JJ
14725	202	36	hardness	hardness	NN
14725	202	37	and	and	CC
14725	202	38	possessing	possess	VBG
14725	202	39	a	a	DT
14725	202	40	springiness	springiness	NN
14725	202	41	as	as	RB
14725	202	42	prompt	prompt	JJ
14725	202	43	as	as	IN
14725	202	44	we	-PRON-	PRP
14725	202	45	choose	choose	VBP
14725	202	46	.	.	.
14725	203	1	It	-PRON-	PRP
14725	203	2	is	be	VBZ
14725	203	3	not	not	RB
14725	203	4	necessary	necessary	JJ
14725	203	5	to	to	TO
14725	203	6	examine	examine	VB
14725	203	7	here	here	RB
14725	203	8	the	the	DT
14725	203	9	causes	cause	NNS
14725	203	10	of	of	IN
14725	203	11	this	this	DT
14725	203	12	hardness	hardness	NN
14725	203	13	,	,	,
14725	203	14	or	or	CC
14725	203	15	of	of	IN
14725	203	16	that	that	DT
14725	203	17	springiness	springiness	NN
14725	203	18	,	,	,
14725	203	19	the	the	DT
14725	203	20	consideration	consideration	NN
14725	203	21	of	of	IN
14725	203	22	which	which	WDT
14725	203	23	would	would	MD
14725	203	24	lead	lead	VB
14725	203	25	us	-PRON-	PRP
14725	203	26	too	too	RB
14725	203	27	far	far	RB
14725	203	28	from	from	IN
14725	203	29	our	-PRON-	PRP$
14725	203	30	subject	subject	NN
14725	203	31	.	.	.
14725	204	1	I	-PRON-	PRP
14725	204	2	will	will	MD
14725	204	3	say	say	VB
14725	204	4	,	,	,
14725	204	5	however	however	RB
14725	204	6	,	,	,
14725	204	7	in	in	IN
14725	204	8	passing	pass	VBG
14725	204	9	that	that	IN
14725	204	10	we	-PRON-	PRP
14725	204	11	may	may	MD
14725	204	12	conceive	conceive	VB
14725	204	13	that	that	IN
14725	204	14	the	the	DT
14725	204	15	particles	particle	NNS
14725	204	16	of	of	IN
14725	204	17	the	the	DT
14725	204	18	ether	ether	NN
14725	204	19	,	,	,
14725	204	20	notwithstanding	notwithstanding	IN
14725	204	21	their	-PRON-	PRP$
14725	204	22	smallness	smallness	NN
14725	204	23	,	,	,
14725	204	24	are	be	VBP
14725	204	25	in	in	IN
14725	204	26	turn	turn	NN
14725	204	27	composed	compose	VBN
14725	204	28	of	of	IN
14725	204	29	other	other	JJ
14725	204	30	parts	part	NNS
14725	204	31	and	and	CC
14725	204	32	that	that	IN
14725	204	33	their	-PRON-	PRP$
14725	204	34	springiness	springiness	NN
14725	204	35	consists	consist	VBZ
14725	204	36	in	in	IN
14725	204	37	the	the	DT
14725	204	38	very	very	RB
14725	204	39	rapid	rapid	JJ
14725	204	40	movement	movement	NN
14725	204	41	of	of	IN
14725	204	42	a	a	DT
14725	204	43	subtle	subtle	JJ
14725	204	44	matter	matter	NN
14725	204	45	which	which	WDT
14725	204	46	penetrates	penetrate	VBZ
14725	204	47	them	-PRON-	PRP
14725	204	48	from	from	IN
14725	204	49	every	every	DT
14725	204	50	side	side	NN
14725	204	51	and	and	CC
14725	204	52	constrains	constrain	VBZ
14725	204	53	their	-PRON-	PRP$
14725	204	54	structure	structure	NN
14725	204	55	to	to	TO
14725	204	56	assume	assume	VB
14725	204	57	such	such	PDT
14725	204	58	a	a	DT
14725	204	59	disposition	disposition	NN
14725	204	60	as	as	IN
14725	204	61	to	to	TO
14725	204	62	give	give	VB
14725	204	63	to	to	IN
14725	204	64	this	this	DT
14725	204	65	fluid	fluid	JJ
14725	204	66	matter	matter	NN
14725	204	67	the	the	DT
14725	204	68	most	most	RBS
14725	204	69	overt	overt	JJ
14725	204	70	and	and	CC
14725	204	71	easy	easy	JJ
14725	204	72	passage	passage	NN
14725	204	73	possible	possible	JJ
14725	204	74	.	.	.
14725	205	1	This	this	DT
14725	205	2	accords	accord	NNS
14725	205	3	with	with	IN
14725	205	4	the	the	DT
14725	205	5	explanation	explanation	NN
14725	205	6	which	which	WDT
14725	205	7	Mr.	Mr.	NNP
14725	205	8	Des	Des	NNP
14725	205	9	Cartes	Cartes	NNP
14725	205	10	gives	give	VBZ
14725	205	11	for	for	IN
14725	205	12	the	the	DT
14725	205	13	spring	spring	NN
14725	205	14	,	,	,
14725	205	15	though	though	IN
14725	205	16	I	-PRON-	PRP
14725	205	17	do	do	VBP
14725	205	18	not	not	RB
14725	205	19	,	,	,
14725	205	20	like	like	IN
14725	205	21	him	-PRON-	PRP
14725	205	22	,	,	,
14725	205	23	suppose	suppose	VB
14725	205	24	the	the	DT
14725	205	25	pores	pore	NNS
14725	205	26	to	to	TO
14725	205	27	be	be	VB
14725	205	28	in	in	IN
14725	205	29	the	the	DT
14725	205	30	form	form	NN
14725	205	31	of	of	IN
14725	205	32	round	round	JJ
14725	205	33	hollow	hollow	JJ
14725	205	34	canals	canal	NNS
14725	205	35	.	.	.
14725	206	1	And	and	CC
14725	206	2	it	-PRON-	PRP
14725	206	3	must	must	MD
14725	206	4	not	not	RB
14725	206	5	be	be	VB
14725	206	6	thought	think	VBN
14725	206	7	that	that	IN
14725	206	8	in	in	IN
14725	206	9	this	this	DT
14725	206	10	there	there	EX
14725	206	11	is	be	VBZ
14725	206	12	anything	anything	NN
14725	206	13	absurd	absurd	JJ
14725	206	14	or	or	CC
14725	206	15	impossible	impossible	JJ
14725	206	16	,	,	,
14725	206	17	it	-PRON-	PRP
14725	206	18	being	be	VBG
14725	206	19	on	on	IN
14725	206	20	the	the	DT
14725	206	21	contrary	contrary	JJ
14725	206	22	quite	quite	RB
14725	206	23	credible	credible	JJ
14725	206	24	that	that	IN
14725	206	25	it	-PRON-	PRP
14725	206	26	is	be	VBZ
14725	206	27	this	this	DT
14725	206	28	infinite	infinite	JJ
14725	206	29	series	series	NN
14725	206	30	of	of	IN
14725	206	31	different	different	JJ
14725	206	32	sizes	size	NNS
14725	206	33	of	of	IN
14725	206	34	corpuscles	corpuscle	NNS
14725	206	35	,	,	,
14725	206	36	having	have	VBG
14725	206	37	different	different	JJ
14725	206	38	degrees	degree	NNS
14725	206	39	of	of	IN
14725	206	40	velocity	velocity	NN
14725	206	41	,	,	,
14725	206	42	of	of	IN
14725	206	43	which	which	WDT
14725	206	44	Nature	Nature	NNP
14725	206	45	makes	make	VBZ
14725	206	46	use	use	NN
14725	206	47	to	to	TO
14725	206	48	produce	produce	VB
14725	206	49	so	so	RB
14725	206	50	many	many	JJ
14725	206	51	marvellous	marvellous	JJ
14725	206	52	effects	effect	NNS
14725	206	53	.	.	.
14725	207	1	But	but	CC
14725	207	2	though	though	IN
14725	207	3	we	-PRON-	PRP
14725	207	4	shall	shall	MD
14725	207	5	ignore	ignore	VB
14725	207	6	the	the	DT
14725	207	7	true	true	JJ
14725	207	8	cause	cause	NN
14725	207	9	of	of	IN
14725	207	10	springiness	springiness	NN
14725	207	11	we	-PRON-	PRP
14725	207	12	still	still	RB
14725	207	13	see	see	VBP
14725	207	14	that	that	IN
14725	207	15	there	there	EX
14725	207	16	are	be	VBP
14725	207	17	many	many	JJ
14725	207	18	bodies	body	NNS
14725	207	19	which	which	WDT
14725	207	20	possess	possess	VBP
14725	207	21	this	this	DT
14725	207	22	property	property	NN
14725	207	23	;	;	:
14725	207	24	and	and	CC
14725	207	25	thus	thus	RB
14725	207	26	there	there	EX
14725	207	27	is	be	VBZ
14725	207	28	nothing	nothing	NN
14725	207	29	strange	strange	JJ
14725	207	30	in	in	IN
14725	207	31	supposing	suppose	VBG
14725	207	32	that	that	IN
14725	207	33	it	-PRON-	PRP
14725	207	34	exists	exist	VBZ
14725	207	35	also	also	RB
14725	207	36	in	in	IN
14725	207	37	little	little	JJ
14725	207	38	invisible	invisible	JJ
14725	207	39	bodies	body	NNS
14725	207	40	like	like	IN
14725	207	41	the	the	DT
14725	207	42	particles	particle	NNS
14725	207	43	of	of	IN
14725	207	44	the	the	DT
14725	207	45	Ether	Ether	NNP
14725	207	46	.	.	.
14725	208	1	Also	also	RB
14725	208	2	if	if	IN
14725	208	3	one	one	CD
14725	208	4	wishes	wish	VBZ
14725	208	5	to	to	TO
14725	208	6	seek	seek	VB
14725	208	7	for	for	IN
14725	208	8	any	any	DT
14725	208	9	other	other	JJ
14725	208	10	way	way	NN
14725	208	11	in	in	IN
14725	208	12	which	which	WDT
14725	208	13	the	the	DT
14725	208	14	movement	movement	NN
14725	208	15	of	of	IN
14725	208	16	Light	Light	NNP
14725	208	17	is	be	VBZ
14725	208	18	successively	successively	RB
14725	208	19	communicated	communicate	VBN
14725	208	20	,	,	,
14725	208	21	one	one	PRP
14725	208	22	will	will	MD
14725	208	23	find	find	VB
14725	208	24	none	none	NN
14725	208	25	which	which	WDT
14725	208	26	agrees	agree	VBZ
14725	208	27	better	well	JJR
14725	208	28	,	,	,
14725	208	29	with	with	IN
14725	208	30	uniform	uniform	JJ
14725	208	31	progression	progression	NN
14725	208	32	,	,	,
14725	208	33	as	as	IN
14725	208	34	seems	seem	VBZ
14725	208	35	to	to	TO
14725	208	36	be	be	VB
14725	208	37	necessary	necessary	JJ
14725	208	38	,	,	,
14725	208	39	than	than	IN
14725	208	40	the	the	DT
14725	208	41	property	property	NN
14725	208	42	of	of	IN
14725	208	43	springiness	springiness	NN
14725	208	44	;	;	:
14725	208	45	because	because	IN
14725	208	46	if	if	IN
14725	208	47	this	this	DT
14725	208	48	movement	movement	NN
14725	208	49	should	should	MD
14725	208	50	grow	grow	VB
14725	208	51	slower	slow	JJR
14725	208	52	in	in	IN
14725	208	53	proportion	proportion	NN
14725	208	54	as	as	IN
14725	208	55	it	-PRON-	PRP
14725	208	56	is	be	VBZ
14725	208	57	shared	share	VBN
14725	208	58	over	over	IN
14725	208	59	a	a	DT
14725	208	60	greater	great	JJR
14725	208	61	quantity	quantity	NN
14725	208	62	of	of	IN
14725	208	63	matter	matter	NN
14725	208	64	,	,	,
14725	208	65	in	in	IN
14725	208	66	moving	move	VBG
14725	208	67	away	away	RB
14725	208	68	from	from	IN
14725	208	69	the	the	DT
14725	208	70	source	source	NN
14725	208	71	of	of	IN
14725	208	72	the	the	DT
14725	208	73	light	light	NN
14725	208	74	,	,	,
14725	208	75	it	-PRON-	PRP
14725	208	76	could	could	MD
14725	208	77	not	not	RB
14725	208	78	conserve	conserve	VB
14725	208	79	this	this	DT
14725	208	80	great	great	JJ
14725	208	81	velocity	velocity	NN
14725	208	82	over	over	IN
14725	208	83	great	great	JJ
14725	208	84	distances	distance	NNS
14725	208	85	.	.	.
14725	209	1	But	but	CC
14725	209	2	by	by	IN
14725	209	3	supposing	suppose	VBG
14725	209	4	springiness	springiness	NN
14725	209	5	in	in	IN
14725	209	6	the	the	DT
14725	209	7	ethereal	ethereal	JJ
14725	209	8	matter	matter	NN
14725	209	9	,	,	,
14725	209	10	its	-PRON-	PRP$
14725	209	11	particles	particle	NNS
14725	209	12	will	will	MD
14725	209	13	have	have	VB
14725	209	14	the	the	DT
14725	209	15	property	property	NN
14725	209	16	of	of	IN
14725	209	17	equally	equally	RB
14725	209	18	rapid	rapid	JJ
14725	209	19	restitution	restitution	NN
14725	209	20	whether	whether	IN
14725	209	21	they	-PRON-	PRP
14725	209	22	are	be	VBP
14725	209	23	pushed	push	VBN
14725	209	24	strongly	strongly	RB
14725	209	25	or	or	CC
14725	209	26	feebly	feebly	RB
14725	209	27	;	;	:
14725	209	28	and	and	CC
14725	209	29	thus	thus	RB
14725	209	30	the	the	DT
14725	209	31	propagation	propagation	NN
14725	209	32	of	of	IN
14725	209	33	Light	Light	NNP
14725	209	34	will	will	MD
14725	209	35	always	always	RB
14725	209	36	go	go	VB
14725	209	37	on	on	RP
14725	209	38	with	with	IN
14725	209	39	an	an	DT
14725	209	40	equal	equal	JJ
14725	209	41	velocity	velocity	NN
14725	209	42	.	.	.
14725	210	1	[	[	-LRB-
14725	210	2	Illustration	illustration	NN
14725	210	3	]	]	-RRB-
14725	210	4	And	and	CC
14725	210	5	it	-PRON-	PRP
14725	210	6	must	must	MD
14725	210	7	be	be	VB
14725	210	8	known	know	VBN
14725	210	9	that	that	IN
14725	210	10	although	although	IN
14725	210	11	the	the	DT
14725	210	12	particles	particle	NNS
14725	210	13	of	of	IN
14725	210	14	the	the	DT
14725	210	15	ether	ether	NN
14725	210	16	are	be	VBP
14725	210	17	not	not	RB
14725	210	18	ranged	ranged	JJ
14725	210	19	thus	thus	RB
14725	210	20	in	in	IN
14725	210	21	straight	straight	JJ
14725	210	22	lines	line	NNS
14725	210	23	,	,	,
14725	210	24	as	as	IN
14725	210	25	in	in	IN
14725	210	26	our	-PRON-	PRP$
14725	210	27	row	row	NN
14725	210	28	of	of	IN
14725	210	29	spheres	sphere	NNS
14725	210	30	,	,	,
14725	210	31	but	but	CC
14725	210	32	confusedly	confusedly	RB
14725	210	33	,	,	,
14725	210	34	so	so	IN
14725	210	35	that	that	IN
14725	210	36	one	one	CD
14725	210	37	of	of	IN
14725	210	38	them	-PRON-	PRP
14725	210	39	touches	touch	VBZ
14725	210	40	several	several	JJ
14725	210	41	others	other	NNS
14725	210	42	,	,	,
14725	210	43	this	this	DT
14725	210	44	does	do	VBZ
14725	210	45	not	not	RB
14725	210	46	hinder	hinder	VB
14725	210	47	them	-PRON-	PRP
14725	210	48	from	from	IN
14725	210	49	transmitting	transmit	VBG
14725	210	50	their	-PRON-	PRP$
14725	210	51	movement	movement	NN
14725	210	52	and	and	CC
14725	210	53	from	from	IN
14725	210	54	spreading	spread	VBG
14725	210	55	it	-PRON-	PRP
14725	210	56	always	always	RB
14725	210	57	forward	forward	RB
14725	210	58	.	.	.
14725	211	1	As	as	IN
14725	211	2	to	to	IN
14725	211	3	this	this	DT
14725	211	4	it	-PRON-	PRP
14725	211	5	is	be	VBZ
14725	211	6	to	to	TO
14725	211	7	be	be	VB
14725	211	8	remarked	remark	VBN
14725	211	9	that	that	IN
14725	211	10	there	there	EX
14725	211	11	is	be	VBZ
14725	211	12	a	a	DT
14725	211	13	law	law	NN
14725	211	14	of	of	IN
14725	211	15	motion	motion	NN
14725	211	16	serving	serve	VBG
14725	211	17	for	for	IN
14725	211	18	this	this	DT
14725	211	19	propagation	propagation	NN
14725	211	20	,	,	,
14725	211	21	and	and	CC
14725	211	22	verifiable	verifiable	JJ
14725	211	23	by	by	IN
14725	211	24	experiment	experiment	NN
14725	211	25	.	.	.
14725	212	1	It	-PRON-	PRP
14725	212	2	is	be	VBZ
14725	212	3	that	that	IN
14725	212	4	when	when	WRB
14725	212	5	a	a	DT
14725	212	6	sphere	sphere	NN
14725	212	7	,	,	,
14725	212	8	such	such	JJ
14725	212	9	as	as	IN
14725	212	10	A	A	NNP
14725	212	11	here	here	RB
14725	212	12	,	,	,
14725	212	13	touches	touch	VBZ
14725	212	14	several	several	JJ
14725	212	15	other	other	JJ
14725	212	16	similar	similar	JJ
14725	212	17	spheres	sphere	NNS
14725	212	18	CCC	CCC	NNP
14725	212	19	,	,	,
14725	212	20	if	if	IN
14725	212	21	it	-PRON-	PRP
14725	212	22	is	be	VBZ
14725	212	23	struck	strike	VBN
14725	212	24	by	by	IN
14725	212	25	another	another	DT
14725	212	26	sphere	sphere	NN
14725	212	27	B	b	NN
14725	212	28	in	in	IN
14725	212	29	such	such	PDT
14725	212	30	a	a	DT
14725	212	31	way	way	NN
14725	212	32	as	as	IN
14725	212	33	to	to	TO
14725	212	34	exert	exert	VB
14725	212	35	an	an	DT
14725	212	36	impulse	impulse	NN
14725	212	37	against	against	IN
14725	212	38	all	all	PDT
14725	212	39	the	the	DT
14725	212	40	spheres	sphere	NNS
14725	212	41	CCC	CCC	NNP
14725	212	42	which	which	WDT
14725	212	43	touch	touch	VBP
14725	212	44	it	-PRON-	PRP
14725	212	45	,	,	,
14725	212	46	it	-PRON-	PRP
14725	212	47	transmits	transmit	VBZ
14725	212	48	to	to	IN
14725	212	49	them	-PRON-	PRP
14725	212	50	the	the	DT
14725	212	51	whole	whole	NN
14725	212	52	of	of	IN
14725	212	53	its	-PRON-	PRP$
14725	212	54	movement	movement	NN
14725	212	55	,	,	,
14725	212	56	and	and	CC
14725	212	57	remains	remain	VBZ
14725	212	58	after	after	IN
14725	212	59	that	that	DT
14725	212	60	motionless	motionless	JJ
14725	212	61	like	like	IN
14725	212	62	the	the	DT
14725	212	63	sphere	sphere	NN
14725	212	64	B.	b.	NN
14725	213	1	And	and	CC
14725	213	2	without	without	IN
14725	213	3	supposing	suppose	VBG
14725	213	4	that	that	IN
14725	213	5	the	the	DT
14725	213	6	ethereal	ethereal	JJ
14725	213	7	particles	particle	NNS
14725	213	8	are	be	VBP
14725	213	9	of	of	IN
14725	213	10	spherical	spherical	JJ
14725	213	11	form	form	NN
14725	213	12	(	(	-LRB-
14725	213	13	for	for	IN
14725	213	14	I	-PRON-	PRP
14725	213	15	see	see	VBP
14725	213	16	indeed	indeed	RB
14725	213	17	no	no	DT
14725	213	18	need	need	NN
14725	213	19	to	to	TO
14725	213	20	suppose	suppose	VB
14725	213	21	them	-PRON-	PRP
14725	213	22	so	so	RB
14725	213	23	)	)	-RRB-
14725	213	24	one	one	PRP
14725	213	25	may	may	MD
14725	213	26	well	well	RB
14725	213	27	understand	understand	VB
14725	213	28	that	that	IN
14725	213	29	this	this	DT
14725	213	30	property	property	NN
14725	213	31	of	of	IN
14725	213	32	communicating	communicate	VBG
14725	213	33	an	an	DT
14725	213	34	impulse	impulse	NN
14725	213	35	does	do	VBZ
14725	213	36	not	not	RB
14725	213	37	fail	fail	VB
14725	213	38	to	to	TO
14725	213	39	contribute	contribute	VB
14725	213	40	to	to	IN
14725	213	41	the	the	DT
14725	213	42	aforesaid	aforesaid	JJ
14725	213	43	propagation	propagation	NN
14725	213	44	of	of	IN
14725	213	45	movement	movement	NN
14725	213	46	.	.	.
14725	214	1	Equality	equality	NN
14725	214	2	of	of	IN
14725	214	3	size	size	NN
14725	214	4	seems	seem	VBZ
14725	214	5	to	to	TO
14725	214	6	be	be	VB
14725	214	7	more	more	RBR
14725	214	8	necessary	necessary	JJ
14725	214	9	,	,	,
14725	214	10	because	because	IN
14725	214	11	otherwise	otherwise	RB
14725	214	12	there	there	EX
14725	214	13	ought	ought	MD
14725	214	14	to	to	TO
14725	214	15	be	be	VB
14725	214	16	some	some	DT
14725	214	17	reflexion	reflexion	NN
14725	214	18	of	of	IN
14725	214	19	movement	movement	NN
14725	214	20	backwards	backwards	RB
14725	214	21	when	when	WRB
14725	214	22	it	-PRON-	PRP
14725	214	23	passes	pass	VBZ
14725	214	24	from	from	IN
14725	214	25	a	a	DT
14725	214	26	smaller	small	JJR
14725	214	27	particle	particle	NN
14725	214	28	to	to	IN
14725	214	29	a	a	DT
14725	214	30	larger	large	JJR
14725	214	31	one	one	CD
14725	214	32	,	,	,
14725	214	33	according	accord	VBG
14725	214	34	to	to	IN
14725	214	35	the	the	DT
14725	214	36	Laws	Laws	NNPS
14725	214	37	of	of	IN
14725	214	38	Percussion	Percussion	NNP
14725	214	39	which	which	WDT
14725	214	40	I	-PRON-	PRP
14725	214	41	published	publish	VBD
14725	214	42	some	some	DT
14725	214	43	years	year	NNS
14725	214	44	ago	ago	RB
14725	214	45	.	.	.
14725	215	1	However	however	RB
14725	215	2	,	,	,
14725	215	3	one	one	PRP
14725	215	4	will	will	MD
14725	215	5	see	see	VB
14725	215	6	hereafter	hereafter	RB
14725	215	7	that	that	IN
14725	215	8	we	-PRON-	PRP
14725	215	9	have	have	VBP
14725	215	10	to	to	TO
14725	215	11	suppose	suppose	VB
14725	215	12	such	such	PDT
14725	215	13	an	an	DT
14725	215	14	equality	equality	NN
14725	215	15	not	not	RB
14725	215	16	so	so	RB
14725	215	17	much	much	RB
14725	215	18	as	as	IN
14725	215	19	a	a	DT
14725	215	20	necessity	necessity	NN
14725	215	21	for	for	IN
14725	215	22	the	the	DT
14725	215	23	propagation	propagation	NN
14725	215	24	of	of	IN
14725	215	25	light	light	NN
14725	215	26	as	as	IN
14725	215	27	for	for	IN
14725	215	28	rendering	render	VBG
14725	215	29	that	that	DT
14725	215	30	propagation	propagation	NN
14725	215	31	easier	easier	RBR
14725	215	32	and	and	CC
14725	215	33	more	more	RBR
14725	215	34	powerful	powerful	JJ
14725	215	35	;	;	:
14725	215	36	for	for	IN
14725	215	37	it	-PRON-	PRP
14725	215	38	is	be	VBZ
14725	215	39	not	not	RB
14725	215	40	beyond	beyond	IN
14725	215	41	the	the	DT
14725	215	42	limits	limit	NNS
14725	215	43	of	of	IN
14725	215	44	probability	probability	NN
14725	215	45	that	that	WDT
14725	215	46	the	the	DT
14725	215	47	particles	particle	NNS
14725	215	48	of	of	IN
14725	215	49	the	the	DT
14725	215	50	ether	ether	NN
14725	215	51	have	have	VBP
14725	215	52	been	be	VBN
14725	215	53	made	make	VBN
14725	215	54	equal	equal	JJ
14725	215	55	for	for	IN
14725	215	56	a	a	DT
14725	215	57	purpose	purpose	NN
14725	215	58	so	so	RB
14725	215	59	important	important	JJ
14725	215	60	as	as	IN
14725	215	61	that	that	DT
14725	215	62	of	of	IN
14725	215	63	light	light	NN
14725	215	64	,	,	,
14725	215	65	at	at	IN
14725	215	66	least	least	JJS
14725	215	67	in	in	IN
14725	215	68	that	that	DT
14725	215	69	vast	vast	JJ
14725	215	70	space	space	NN
14725	215	71	which	which	WDT
14725	215	72	is	be	VBZ
14725	215	73	beyond	beyond	IN
14725	215	74	the	the	DT
14725	215	75	region	region	NN
14725	215	76	of	of	IN
14725	215	77	atmosphere	atmosphere	NN
14725	215	78	and	and	CC
14725	215	79	which	which	WDT
14725	215	80	seems	seem	VBZ
14725	215	81	to	to	TO
14725	215	82	serve	serve	VB
14725	215	83	only	only	RB
14725	215	84	to	to	TO
14725	215	85	transmit	transmit	VB
14725	215	86	the	the	DT
14725	215	87	light	light	NN
14725	215	88	of	of	IN
14725	215	89	the	the	DT
14725	215	90	Sun	Sun	NNP
14725	215	91	and	and	CC
14725	215	92	the	the	DT
14725	215	93	Stars	Stars	NNPS
14725	215	94	.	.	.
14725	216	1	I	-PRON-	PRP
14725	216	2	have	have	VBP
14725	216	3	then	then	RB
14725	216	4	shown	show	VBN
14725	216	5	in	in	IN
14725	216	6	what	what	WDT
14725	216	7	manner	manner	NN
14725	216	8	one	one	PRP
14725	216	9	may	may	MD
14725	216	10	conceive	conceive	VB
14725	216	11	Light	light	NN
14725	216	12	to	to	TO
14725	216	13	spread	spread	VB
14725	216	14	successively	successively	RB
14725	216	15	,	,	,
14725	216	16	by	by	IN
14725	216	17	spherical	spherical	JJ
14725	216	18	waves	wave	NNS
14725	216	19	,	,	,
14725	216	20	and	and	CC
14725	216	21	how	how	WRB
14725	216	22	it	-PRON-	PRP
14725	216	23	is	be	VBZ
14725	216	24	possible	possible	JJ
14725	216	25	that	that	IN
14725	216	26	this	this	DT
14725	216	27	spreading	spreading	NN
14725	216	28	is	be	VBZ
14725	216	29	accomplished	accomplish	VBN
14725	216	30	with	with	IN
14725	216	31	as	as	RB
14725	216	32	great	great	JJ
14725	216	33	a	a	DT
14725	216	34	velocity	velocity	NN
14725	216	35	as	as	IN
14725	216	36	that	that	DT
14725	216	37	which	which	WDT
14725	216	38	experiments	experiment	NNS
14725	216	39	and	and	CC
14725	216	40	celestial	celestial	JJ
14725	216	41	observations	observation	NNS
14725	216	42	demand	demand	NN
14725	216	43	.	.	.
14725	217	1	Whence	whence	NN
14725	217	2	it	-PRON-	PRP
14725	217	3	may	may	MD
14725	217	4	be	be	VB
14725	217	5	further	further	RB
14725	217	6	remarked	remark	VBN
14725	217	7	that	that	IN
14725	217	8	although	although	IN
14725	217	9	the	the	DT
14725	217	10	particles	particle	NNS
14725	217	11	are	be	VBP
14725	217	12	supposed	suppose	VBN
14725	217	13	to	to	TO
14725	217	14	be	be	VB
14725	217	15	in	in	IN
14725	217	16	continual	continual	JJ
14725	217	17	movement	movement	NN
14725	217	18	(	(	-LRB-
14725	217	19	for	for	IN
14725	217	20	there	there	EX
14725	217	21	are	be	VBP
14725	217	22	many	many	JJ
14725	217	23	reasons	reason	NNS
14725	217	24	for	for	IN
14725	217	25	this	this	DT
14725	217	26	)	)	-RRB-
14725	217	27	the	the	DT
14725	217	28	successive	successive	JJ
14725	217	29	propagation	propagation	NN
14725	217	30	of	of	IN
14725	217	31	the	the	DT
14725	217	32	waves	wave	NNS
14725	217	33	can	can	MD
14725	217	34	not	not	RB
14725	217	35	be	be	VB
14725	217	36	hindered	hinder	VBN
14725	217	37	by	by	IN
14725	217	38	this	this	DT
14725	217	39	;	;	:
14725	217	40	because	because	IN
14725	217	41	the	the	DT
14725	217	42	propagation	propagation	NN
14725	217	43	consists	consist	VBZ
14725	217	44	nowise	nowise	NN
14725	217	45	in	in	IN
14725	217	46	the	the	DT
14725	217	47	transport	transport	NN
14725	217	48	of	of	IN
14725	217	49	those	those	DT
14725	217	50	particles	particle	NNS
14725	217	51	but	but	CC
14725	217	52	merely	merely	RB
14725	217	53	in	in	IN
14725	217	54	a	a	DT
14725	217	55	small	small	JJ
14725	217	56	agitation	agitation	NN
14725	217	57	which	which	WDT
14725	217	58	they	-PRON-	PRP
14725	217	59	can	can	MD
14725	217	60	not	not	RB
14725	217	61	help	help	VB
14725	217	62	communicating	communicate	VBG
14725	217	63	to	to	IN
14725	217	64	those	those	DT
14725	217	65	surrounding	surround	VBG
14725	217	66	,	,	,
14725	217	67	notwithstanding	notwithstanding	IN
14725	217	68	any	any	DT
14725	217	69	movement	movement	NN
14725	217	70	which	which	WDT
14725	217	71	may	may	MD
14725	217	72	act	act	VB
14725	217	73	on	on	IN
14725	217	74	them	-PRON-	PRP
14725	217	75	causing	cause	VBG
14725	217	76	them	-PRON-	PRP
14725	217	77	to	to	TO
14725	217	78	be	be	VB
14725	217	79	changing	change	VBG
14725	217	80	positions	position	NNS
14725	217	81	amongst	amongst	IN
14725	217	82	themselves	-PRON-	PRP
14725	217	83	.	.	.
14725	218	1	But	but	CC
14725	218	2	we	-PRON-	PRP
14725	218	3	must	must	MD
14725	218	4	consider	consider	VB
14725	218	5	still	still	RB
14725	218	6	more	more	RBR
14725	218	7	particularly	particularly	RB
14725	218	8	the	the	DT
14725	218	9	origin	origin	NN
14725	218	10	of	of	IN
14725	218	11	these	these	DT
14725	218	12	waves	wave	NNS
14725	218	13	,	,	,
14725	218	14	and	and	CC
14725	218	15	the	the	DT
14725	218	16	manner	manner	NN
14725	218	17	in	in	IN
14725	218	18	which	which	WDT
14725	218	19	they	-PRON-	PRP
14725	218	20	spread	spread	VBD
14725	218	21	.	.	.
14725	219	1	And	and	CC
14725	219	2	,	,	,
14725	219	3	first	first	RB
14725	219	4	,	,	,
14725	219	5	it	-PRON-	PRP
14725	219	6	follows	follow	VBZ
14725	219	7	from	from	IN
14725	219	8	what	what	WP
14725	219	9	has	have	VBZ
14725	219	10	been	be	VBN
14725	219	11	said	say	VBN
14725	219	12	on	on	IN
14725	219	13	the	the	DT
14725	219	14	production	production	NN
14725	219	15	of	of	IN
14725	219	16	Light	light	NN
14725	219	17	,	,	,
14725	219	18	that	that	IN
14725	219	19	each	each	DT
14725	219	20	little	little	JJ
14725	219	21	region	region	NN
14725	219	22	of	of	IN
14725	219	23	a	a	DT
14725	219	24	luminous	luminous	JJ
14725	219	25	body	body	NN
14725	219	26	,	,	,
14725	219	27	such	such	JJ
14725	219	28	as	as	IN
14725	219	29	the	the	DT
14725	219	30	Sun	Sun	NNP
14725	219	31	,	,	,
14725	219	32	a	a	DT
14725	219	33	candle	candle	NN
14725	219	34	,	,	,
14725	219	35	or	or	CC
14725	219	36	a	a	DT
14725	219	37	burning	burn	VBG
14725	219	38	coal	coal	NN
14725	219	39	,	,	,
14725	219	40	generates	generate	VBZ
14725	219	41	its	-PRON-	PRP$
14725	219	42	own	own	JJ
14725	219	43	waves	wave	NNS
14725	219	44	of	of	IN
14725	219	45	which	which	WDT
14725	219	46	that	that	DT
14725	219	47	region	region	NN
14725	219	48	is	be	VBZ
14725	219	49	the	the	DT
14725	219	50	centre	centre	NN
14725	219	51	.	.	.
14725	220	1	Thus	thus	RB
14725	220	2	in	in	IN
14725	220	3	the	the	DT
14725	220	4	flame	flame	NN
14725	220	5	of	of	IN
14725	220	6	a	a	DT
14725	220	7	candle	candle	NN
14725	220	8	,	,	,
14725	220	9	having	have	VBG
14725	220	10	distinguished	distinguish	VBN
14725	220	11	the	the	DT
14725	220	12	points	point	NNS
14725	220	13	A	A	NNP
14725	220	14	,	,	,
14725	220	15	B	b	NN
14725	220	16	,	,	,
14725	220	17	C	C	NNP
14725	220	18	,	,	,
14725	220	19	concentric	concentric	NN
14725	220	20	circles	circle	NNS
14725	220	21	described	describe	VBN
14725	220	22	about	about	IN
14725	220	23	each	each	DT
14725	220	24	of	of	IN
14725	220	25	these	these	DT
14725	220	26	points	point	NNS
14725	220	27	represent	represent	VBP
14725	220	28	the	the	DT
14725	220	29	waves	wave	NNS
14725	220	30	which	which	WDT
14725	220	31	come	come	VBP
14725	220	32	from	from	IN
14725	220	33	them	-PRON-	PRP
14725	220	34	.	.	.
14725	221	1	And	and	CC
14725	221	2	one	one	PRP
14725	221	3	must	must	MD
14725	221	4	imagine	imagine	VB
14725	221	5	the	the	DT
14725	221	6	same	same	JJ
14725	221	7	about	about	IN
14725	221	8	every	every	DT
14725	221	9	point	point	NN
14725	221	10	of	of	IN
14725	221	11	the	the	DT
14725	221	12	surface	surface	NN
14725	221	13	and	and	CC
14725	221	14	of	of	IN
14725	221	15	the	the	DT
14725	221	16	part	part	NN
14725	221	17	within	within	IN
14725	221	18	the	the	DT
14725	221	19	flame	flame	NN
14725	221	20	.	.	.
14725	222	1	[	[	-LRB-
14725	222	2	Illustration	illustration	NN
14725	222	3	]	]	-RRB-
14725	222	4	But	but	CC
14725	222	5	as	as	IN
14725	222	6	the	the	DT
14725	222	7	percussions	percussion	NNS
14725	222	8	at	at	IN
14725	222	9	the	the	DT
14725	222	10	centres	centre	NNS
14725	222	11	of	of	IN
14725	222	12	these	these	DT
14725	222	13	waves	wave	NNS
14725	222	14	possess	possess	VBP
14725	222	15	no	no	DT
14725	222	16	regular	regular	JJ
14725	222	17	succession	succession	NN
14725	222	18	,	,	,
14725	222	19	it	-PRON-	PRP
14725	222	20	must	must	MD
14725	222	21	not	not	RB
14725	222	22	be	be	VB
14725	222	23	supposed	suppose	VBN
14725	222	24	that	that	IN
14725	222	25	the	the	DT
14725	222	26	waves	wave	NNS
14725	222	27	themselves	-PRON-	PRP
14725	222	28	follow	follow	VBP
14725	222	29	one	one	CD
14725	222	30	another	another	DT
14725	222	31	at	at	IN
14725	222	32	equal	equal	JJ
14725	222	33	distances	distance	NNS
14725	222	34	:	:	:
14725	222	35	and	and	CC
14725	222	36	if	if	IN
14725	222	37	the	the	DT
14725	222	38	distances	distance	NNS
14725	222	39	marked	mark	VBN
14725	222	40	in	in	IN
14725	222	41	the	the	DT
14725	222	42	figure	figure	NN
14725	222	43	appear	appear	VBP
14725	222	44	to	to	TO
14725	222	45	be	be	VB
14725	222	46	such	such	JJ
14725	222	47	,	,	,
14725	222	48	it	-PRON-	PRP
14725	222	49	is	be	VBZ
14725	222	50	rather	rather	RB
14725	222	51	to	to	TO
14725	222	52	mark	mark	VB
14725	222	53	the	the	DT
14725	222	54	progression	progression	NN
14725	222	55	of	of	IN
14725	222	56	one	one	CD
14725	222	57	and	and	CC
14725	222	58	the	the	DT
14725	222	59	same	same	JJ
14725	222	60	wave	wave	NN
14725	222	61	at	at	IN
14725	222	62	equal	equal	JJ
14725	222	63	intervals	interval	NNS
14725	222	64	of	of	IN
14725	222	65	time	time	NN
14725	222	66	than	than	IN
14725	222	67	to	to	TO
14725	222	68	represent	represent	VB
14725	222	69	several	several	JJ
14725	222	70	of	of	IN
14725	222	71	them	-PRON-	PRP
14725	222	72	issuing	issue	VBG
14725	222	73	from	from	IN
14725	222	74	one	one	CD
14725	222	75	and	and	CC
14725	222	76	the	the	DT
14725	222	77	same	same	JJ
14725	222	78	centre	centre	NN
14725	222	79	.	.	.
14725	223	1	After	after	RB
14725	223	2	all	all	RB
14725	223	3	,	,	,
14725	223	4	this	this	DT
14725	223	5	prodigious	prodigious	JJ
14725	223	6	quantity	quantity	NN
14725	223	7	of	of	IN
14725	223	8	waves	wave	NNS
14725	223	9	which	which	WDT
14725	223	10	traverse	traverse	VBP
14725	223	11	one	one	NN
14725	223	12	another	another	DT
14725	223	13	without	without	IN
14725	223	14	confusion	confusion	NN
14725	223	15	and	and	CC
14725	223	16	without	without	IN
14725	223	17	effacing	efface	VBG
14725	223	18	one	one	NN
14725	223	19	another	another	DT
14725	223	20	must	must	MD
14725	223	21	not	not	RB
14725	223	22	be	be	VB
14725	223	23	deemed	deem	VBN
14725	223	24	inconceivable	inconceivable	JJ
14725	223	25	;	;	:
14725	223	26	it	-PRON-	PRP
14725	223	27	being	be	VBG
14725	223	28	certain	certain	JJ
14725	223	29	that	that	IN
14725	223	30	one	one	CD
14725	223	31	and	and	CC
14725	223	32	the	the	DT
14725	223	33	same	same	JJ
14725	223	34	particle	particle	NN
14725	223	35	of	of	IN
14725	223	36	matter	matter	NN
14725	223	37	can	can	MD
14725	223	38	serve	serve	VB
14725	223	39	for	for	IN
14725	223	40	many	many	JJ
14725	223	41	waves	wave	NNS
14725	223	42	coming	come	VBG
14725	223	43	from	from	IN
14725	223	44	different	different	JJ
14725	223	45	sides	side	NNS
14725	223	46	or	or	CC
14725	223	47	even	even	RB
14725	223	48	from	from	IN
14725	223	49	contrary	contrary	JJ
14725	223	50	directions	direction	NNS
14725	223	51	,	,	,
14725	223	52	not	not	RB
14725	223	53	only	only	RB
14725	223	54	if	if	IN
14725	223	55	it	-PRON-	PRP
14725	223	56	is	be	VBZ
14725	223	57	struck	strike	VBN
14725	223	58	by	by	IN
14725	223	59	blows	blow	NNS
14725	223	60	which	which	WDT
14725	223	61	follow	follow	VBP
14725	223	62	one	one	NN
14725	223	63	another	another	DT
14725	223	64	closely	closely	RB
14725	223	65	but	but	CC
14725	223	66	even	even	RB
14725	223	67	for	for	IN
14725	223	68	those	those	DT
14725	223	69	which	which	WDT
14725	223	70	act	act	VBP
14725	223	71	on	on	IN
14725	223	72	it	-PRON-	PRP
14725	223	73	at	at	IN
14725	223	74	the	the	DT
14725	223	75	same	same	JJ
14725	223	76	instant	instant	NN
14725	223	77	.	.	.
14725	224	1	It	-PRON-	PRP
14725	224	2	can	can	MD
14725	224	3	do	do	VB
14725	224	4	so	so	RB
14725	224	5	because	because	IN
14725	224	6	the	the	DT
14725	224	7	spreading	spreading	NN
14725	224	8	of	of	IN
14725	224	9	the	the	DT
14725	224	10	movement	movement	NN
14725	224	11	is	be	VBZ
14725	224	12	successive	successive	JJ
14725	224	13	.	.	.
14725	225	1	This	this	DT
14725	225	2	may	may	MD
14725	225	3	be	be	VB
14725	225	4	proved	prove	VBN
14725	225	5	by	by	IN
14725	225	6	the	the	DT
14725	225	7	row	row	NN
14725	225	8	of	of	IN
14725	225	9	equal	equal	JJ
14725	225	10	spheres	sphere	NNS
14725	225	11	of	of	IN
14725	225	12	hard	hard	JJ
14725	225	13	matter	matter	NN
14725	225	14	,	,	,
14725	225	15	spoken	speak	VBN
14725	225	16	of	of	IN
14725	225	17	above	above	RB
14725	225	18	.	.	.
14725	226	1	If	if	IN
14725	226	2	against	against	IN
14725	226	3	this	this	DT
14725	226	4	row	row	NN
14725	226	5	there	there	EX
14725	226	6	are	be	VBP
14725	226	7	pushed	push	VBN
14725	226	8	from	from	IN
14725	226	9	two	two	CD
14725	226	10	opposite	opposite	JJ
14725	226	11	sides	side	NNS
14725	226	12	at	at	IN
14725	226	13	the	the	DT
14725	226	14	same	same	JJ
14725	226	15	time	time	NN
14725	226	16	two	two	CD
14725	226	17	similar	similar	JJ
14725	226	18	spheres	sphere	NNS
14725	226	19	A	a	NN
14725	226	20	and	and	CC
14725	226	21	D	d	NN
14725	226	22	,	,	,
14725	226	23	one	one	PRP
14725	226	24	will	will	MD
14725	226	25	see	see	VB
14725	226	26	each	each	DT
14725	226	27	of	of	IN
14725	226	28	them	-PRON-	PRP
14725	226	29	rebound	rebound	VBP
14725	226	30	with	with	IN
14725	226	31	the	the	DT
14725	226	32	same	same	JJ
14725	226	33	velocity	velocity	NN
14725	226	34	which	which	WDT
14725	226	35	it	-PRON-	PRP
14725	226	36	had	have	VBD
14725	226	37	in	in	IN
14725	226	38	striking	strike	VBG
14725	226	39	,	,	,
14725	226	40	yet	yet	CC
14725	226	41	the	the	DT
14725	226	42	whole	whole	JJ
14725	226	43	row	row	NN
14725	226	44	will	will	MD
14725	226	45	remain	remain	VB
14725	226	46	in	in	IN
14725	226	47	its	-PRON-	PRP$
14725	226	48	place	place	NN
14725	226	49	,	,	,
14725	226	50	although	although	IN
14725	226	51	the	the	DT
14725	226	52	movement	movement	NN
14725	226	53	has	have	VBZ
14725	226	54	passed	pass	VBN
14725	226	55	along	along	RP
14725	226	56	its	-PRON-	PRP$
14725	226	57	whole	whole	JJ
14725	226	58	length	length	NN
14725	226	59	twice	twice	RB
14725	226	60	over	over	RB
14725	226	61	.	.	.
14725	227	1	And	and	CC
14725	227	2	if	if	IN
14725	227	3	these	these	DT
14725	227	4	contrary	contrary	JJ
14725	227	5	movements	movement	NNS
14725	227	6	happen	happen	VBP
14725	227	7	to	to	TO
14725	227	8	meet	meet	VB
14725	227	9	one	one	NN
14725	227	10	another	another	DT
14725	227	11	at	at	IN
14725	227	12	the	the	DT
14725	227	13	middle	middle	JJ
14725	227	14	sphere	sphere	NN
14725	227	15	,	,	,
14725	227	16	B	b	NN
14725	227	17	,	,	,
14725	227	18	or	or	CC
14725	227	19	at	at	IN
14725	227	20	some	some	DT
14725	227	21	other	other	JJ
14725	227	22	such	such	JJ
14725	227	23	as	as	IN
14725	227	24	C	C	NNP
14725	227	25	,	,	,
14725	227	26	that	that	WDT
14725	227	27	sphere	sphere	NN
14725	227	28	will	will	MD
14725	227	29	yield	yield	VB
14725	227	30	and	and	CC
14725	227	31	act	act	VB
14725	227	32	as	as	IN
14725	227	33	a	a	DT
14725	227	34	spring	spring	NN
14725	227	35	at	at	IN
14725	227	36	both	both	DT
14725	227	37	sides	side	NNS
14725	227	38	,	,	,
14725	227	39	and	and	CC
14725	227	40	so	so	RB
14725	227	41	will	will	MD
14725	227	42	serve	serve	VB
14725	227	43	at	at	IN
14725	227	44	the	the	DT
14725	227	45	same	same	JJ
14725	227	46	instant	instant	NN
14725	227	47	to	to	TO
14725	227	48	transmit	transmit	VB
14725	227	49	these	these	DT
14725	227	50	two	two	CD
14725	227	51	movements	movement	NNS
14725	227	52	.	.	.
14725	228	1	[	[	-LRB-
14725	228	2	Illustration	illustration	NN
14725	228	3	]	]	-RRB-
14725	228	4	But	but	CC
14725	228	5	what	what	WP
14725	228	6	may	may	MD
14725	228	7	at	at	IN
14725	228	8	first	first	RB
14725	228	9	appear	appear	VB
14725	228	10	full	full	JJ
14725	228	11	strange	strange	JJ
14725	228	12	and	and	CC
14725	228	13	even	even	RB
14725	228	14	incredible	incredible	JJ
14725	228	15	is	be	VBZ
14725	228	16	that	that	IN
14725	228	17	the	the	DT
14725	228	18	undulations	undulation	NNS
14725	228	19	produced	produce	VBN
14725	228	20	by	by	IN
14725	228	21	such	such	JJ
14725	228	22	small	small	JJ
14725	228	23	movements	movement	NNS
14725	228	24	and	and	CC
14725	228	25	corpuscles	corpuscle	NNS
14725	228	26	,	,	,
14725	228	27	should	should	MD
14725	228	28	spread	spread	VB
14725	228	29	to	to	IN
14725	228	30	such	such	JJ
14725	228	31	immense	immense	JJ
14725	228	32	distances	distance	NNS
14725	228	33	;	;	:
14725	228	34	as	as	IN
14725	228	35	for	for	IN
14725	228	36	example	example	NN
14725	228	37	from	from	IN
14725	228	38	the	the	DT
14725	228	39	Sun	Sun	NNP
14725	228	40	or	or	CC
14725	228	41	from	from	IN
14725	228	42	the	the	DT
14725	228	43	Stars	Stars	NNPS
14725	228	44	to	to	IN
14725	228	45	us	-PRON-	PRP
14725	228	46	.	.	.
14725	229	1	For	for	IN
14725	229	2	the	the	DT
14725	229	3	force	force	NN
14725	229	4	of	of	IN
14725	229	5	these	these	DT
14725	229	6	waves	wave	NNS
14725	229	7	must	must	MD
14725	229	8	grow	grow	VB
14725	229	9	feeble	feeble	JJ
14725	229	10	in	in	IN
14725	229	11	proportion	proportion	NN
14725	229	12	as	as	IN
14725	229	13	they	-PRON-	PRP
14725	229	14	move	move	VBP
14725	229	15	away	away	RB
14725	229	16	from	from	IN
14725	229	17	their	-PRON-	PRP$
14725	229	18	origin	origin	NN
14725	229	19	,	,	,
14725	229	20	so	so	IN
14725	229	21	that	that	IN
14725	229	22	the	the	DT
14725	229	23	action	action	NN
14725	229	24	of	of	IN
14725	229	25	each	each	DT
14725	229	26	one	one	CD
14725	229	27	in	in	IN
14725	229	28	particular	particular	JJ
14725	229	29	will	will	NN
14725	229	30	without	without	IN
14725	229	31	doubt	doubt	NN
14725	229	32	become	become	VBN
14725	229	33	incapable	incapable	JJ
14725	229	34	of	of	IN
14725	229	35	making	make	VBG
14725	229	36	itself	-PRON-	PRP
14725	229	37	felt	feel	VBD
14725	229	38	to	to	IN
14725	229	39	our	-PRON-	PRP$
14725	229	40	sight	sight	NN
14725	229	41	.	.	.
14725	230	1	But	but	CC
14725	230	2	one	one	PRP
14725	230	3	will	will	MD
14725	230	4	cease	cease	VB
14725	230	5	to	to	TO
14725	230	6	be	be	VB
14725	230	7	astonished	astonish	VBN
14725	230	8	by	by	IN
14725	230	9	considering	consider	VBG
14725	230	10	how	how	WRB
14725	230	11	at	at	IN
14725	230	12	a	a	DT
14725	230	13	great	great	JJ
14725	230	14	distance	distance	NN
14725	230	15	from	from	IN
14725	230	16	the	the	DT
14725	230	17	luminous	luminous	JJ
14725	230	18	body	body	NN
14725	230	19	an	an	DT
14725	230	20	infinitude	infinitude	NN
14725	230	21	of	of	IN
14725	230	22	waves	wave	NNS
14725	230	23	,	,	,
14725	230	24	though	though	IN
14725	230	25	they	-PRON-	PRP
14725	230	26	have	have	VBP
14725	230	27	issued	issue	VBN
14725	230	28	from	from	IN
14725	230	29	different	different	JJ
14725	230	30	points	point	NNS
14725	230	31	of	of	IN
14725	230	32	this	this	DT
14725	230	33	body	body	NN
14725	230	34	,	,	,
14725	230	35	unite	unite	VB
14725	230	36	together	together	RB
14725	230	37	in	in	IN
14725	230	38	such	such	PDT
14725	230	39	a	a	DT
14725	230	40	way	way	NN
14725	230	41	that	that	WDT
14725	230	42	they	-PRON-	PRP
14725	230	43	sensibly	sensibly	RB
14725	230	44	compose	compose	VBP
14725	230	45	one	one	CD
14725	230	46	single	single	JJ
14725	230	47	wave	wave	NN
14725	230	48	only	only	RB
14725	230	49	,	,	,
14725	230	50	which	which	WDT
14725	230	51	,	,	,
14725	230	52	consequently	consequently	RB
14725	230	53	,	,	,
14725	230	54	ought	ought	MD
14725	230	55	to	to	TO
14725	230	56	have	have	VB
14725	230	57	enough	enough	JJ
14725	230	58	force	force	NN
14725	230	59	to	to	TO
14725	230	60	make	make	VB
14725	230	61	itself	-PRON-	PRP
14725	230	62	felt	feel	VBN
14725	230	63	.	.	.
14725	231	1	Thus	thus	RB
14725	231	2	this	this	DT
14725	231	3	infinite	infinite	JJ
14725	231	4	number	number	NN
14725	231	5	of	of	IN
14725	231	6	waves	wave	NNS
14725	231	7	which	which	WDT
14725	231	8	originate	originate	VBP
14725	231	9	at	at	IN
14725	231	10	the	the	DT
14725	231	11	same	same	JJ
14725	231	12	instant	instant	NN
14725	231	13	from	from	IN
14725	231	14	all	all	DT
14725	231	15	points	point	NNS
14725	231	16	of	of	IN
14725	231	17	a	a	DT
14725	231	18	fixed	fix	VBN
14725	231	19	star	star	NN
14725	231	20	,	,	,
14725	231	21	big	big	JJ
14725	231	22	it	-PRON-	PRP
14725	231	23	may	may	MD
14725	231	24	be	be	VB
14725	231	25	as	as	IN
14725	231	26	the	the	DT
14725	231	27	Sun	Sun	NNP
14725	231	28	,	,	,
14725	231	29	make	make	VBP
14725	231	30	practically	practically	RB
14725	231	31	only	only	RB
14725	231	32	one	one	CD
14725	231	33	single	single	JJ
14725	231	34	wave	wave	NN
14725	231	35	which	which	WDT
14725	231	36	may	may	MD
14725	231	37	well	well	RB
14725	231	38	have	have	VB
14725	231	39	force	force	NN
14725	231	40	enough	enough	JJ
14725	231	41	to	to	TO
14725	231	42	produce	produce	VB
14725	231	43	an	an	DT
14725	231	44	impression	impression	NN
14725	231	45	on	on	IN
14725	231	46	our	-PRON-	PRP$
14725	231	47	eyes	eye	NNS
14725	231	48	.	.	.
14725	232	1	Moreover	moreover	RB
14725	232	2	from	from	IN
14725	232	3	each	each	DT
14725	232	4	luminous	luminous	JJ
14725	232	5	point	point	NN
14725	232	6	there	there	EX
14725	232	7	may	may	MD
14725	232	8	come	come	VB
14725	232	9	many	many	JJ
14725	232	10	thousands	thousand	NNS
14725	232	11	of	of	IN
14725	232	12	waves	wave	NNS
14725	232	13	in	in	IN
14725	232	14	the	the	DT
14725	232	15	smallest	small	JJS
14725	232	16	imaginable	imaginable	JJ
14725	232	17	time	time	NN
14725	232	18	,	,	,
14725	232	19	by	by	IN
14725	232	20	the	the	DT
14725	232	21	frequent	frequent	JJ
14725	232	22	percussion	percussion	NN
14725	232	23	of	of	IN
14725	232	24	the	the	DT
14725	232	25	corpuscles	corpuscle	NNS
14725	232	26	which	which	WDT
14725	232	27	strike	strike	VBP
14725	232	28	the	the	DT
14725	232	29	Ether	ether	NN
14725	232	30	at	at	IN
14725	232	31	these	these	DT
14725	232	32	points	point	NNS
14725	232	33	:	:	:
14725	232	34	which	which	WDT
14725	232	35	further	further	JJ
14725	232	36	contributes	contribute	VBZ
14725	232	37	to	to	IN
14725	232	38	rendering	render	VBG
14725	232	39	their	-PRON-	PRP$
14725	232	40	action	action	NN
14725	232	41	more	more	RBR
14725	232	42	sensible	sensible	JJ
14725	232	43	.	.	.
14725	233	1	[	[	-LRB-
14725	233	2	Illustration	illustration	NN
14725	233	3	]	]	-RRB-
14725	233	4	There	there	EX
14725	233	5	is	be	VBZ
14725	233	6	the	the	DT
14725	233	7	further	further	JJ
14725	233	8	consideration	consideration	NN
14725	233	9	in	in	IN
14725	233	10	the	the	DT
14725	233	11	emanation	emanation	NN
14725	233	12	of	of	IN
14725	233	13	these	these	DT
14725	233	14	waves	wave	NNS
14725	233	15	,	,	,
14725	233	16	that	that	IN
14725	233	17	each	each	DT
14725	233	18	particle	particle	NN
14725	233	19	of	of	IN
14725	233	20	matter	matter	NN
14725	233	21	in	in	IN
14725	233	22	which	which	WDT
14725	233	23	a	a	DT
14725	233	24	wave	wave	NN
14725	233	25	spreads	spread	VBZ
14725	233	26	,	,	,
14725	233	27	ought	ought	MD
14725	233	28	not	not	RB
14725	233	29	to	to	TO
14725	233	30	communicate	communicate	VB
14725	233	31	its	-PRON-	PRP$
14725	233	32	motion	motion	NN
14725	233	33	only	only	RB
14725	233	34	to	to	IN
14725	233	35	the	the	DT
14725	233	36	next	next	JJ
14725	233	37	particle	particle	NN
14725	233	38	which	which	WDT
14725	233	39	is	be	VBZ
14725	233	40	in	in	IN
14725	233	41	the	the	DT
14725	233	42	straight	straight	JJ
14725	233	43	line	line	NN
14725	233	44	drawn	draw	VBN
14725	233	45	from	from	IN
14725	233	46	the	the	DT
14725	233	47	luminous	luminous	JJ
14725	233	48	point	point	NN
14725	233	49	,	,	,
14725	233	50	but	but	CC
14725	233	51	that	that	IN
14725	233	52	it	-PRON-	PRP
14725	233	53	also	also	RB
14725	233	54	imparts	impart	VBZ
14725	233	55	some	some	DT
14725	233	56	of	of	IN
14725	233	57	it	-PRON-	PRP
14725	233	58	necessarily	necessarily	RB
14725	233	59	to	to	IN
14725	233	60	all	all	PDT
14725	233	61	the	the	DT
14725	233	62	others	other	NNS
14725	233	63	which	which	WDT
14725	233	64	touch	touch	VBP
14725	233	65	it	-PRON-	PRP
14725	233	66	and	and	CC
14725	233	67	which	which	WDT
14725	233	68	oppose	oppose	VBP
14725	233	69	themselves	-PRON-	PRP
14725	233	70	to	to	IN
14725	233	71	its	-PRON-	PRP$
14725	233	72	movement	movement	NN
14725	233	73	.	.	.
14725	234	1	So	so	RB
14725	234	2	it	-PRON-	PRP
14725	234	3	arises	arise	VBZ
14725	234	4	that	that	IN
14725	234	5	around	around	IN
14725	234	6	each	each	DT
14725	234	7	particle	particle	NN
14725	234	8	there	there	EX
14725	234	9	is	be	VBZ
14725	234	10	made	make	VBN
14725	234	11	a	a	DT
14725	234	12	wave	wave	NN
14725	234	13	of	of	IN
14725	234	14	which	which	WDT
14725	234	15	that	that	DT
14725	234	16	particle	particle	NN
14725	234	17	is	be	VBZ
14725	234	18	the	the	DT
14725	234	19	centre	centre	NN
14725	234	20	.	.	.
14725	235	1	Thus	thus	RB
14725	235	2	if	if	IN
14725	235	3	DCF	DCF	NNP
14725	235	4	is	be	VBZ
14725	235	5	a	a	DT
14725	235	6	wave	wave	NN
14725	235	7	emanating	emanate	VBG
14725	235	8	from	from	IN
14725	235	9	the	the	DT
14725	235	10	luminous	luminous	JJ
14725	235	11	point	point	NN
14725	235	12	A	A	NNP
14725	235	13	,	,	,
14725	235	14	which	which	WDT
14725	235	15	is	be	VBZ
14725	235	16	its	-PRON-	PRP$
14725	235	17	centre	centre	NN
14725	235	18	,	,	,
14725	235	19	the	the	DT
14725	235	20	particle	particle	NN
14725	235	21	B	b	NN
14725	235	22	,	,	,
14725	235	23	one	one	CD
14725	235	24	of	of	IN
14725	235	25	those	those	DT
14725	235	26	comprised	comprise	VBN
14725	235	27	within	within	IN
14725	235	28	the	the	DT
14725	235	29	sphere	sphere	JJ
14725	235	30	DCF	DCF	NNP
14725	235	31	,	,	,
14725	235	32	will	will	MD
14725	235	33	have	have	VB
14725	235	34	made	make	VBN
14725	235	35	its	-PRON-	PRP$
14725	235	36	particular	particular	JJ
14725	235	37	or	or	CC
14725	235	38	partial	partial	JJ
14725	235	39	wave	wave	NN
14725	235	40	KCL	KCL	NNP
14725	235	41	,	,	,
14725	235	42	which	which	WDT
14725	235	43	will	will	MD
14725	235	44	touch	touch	VB
14725	235	45	the	the	DT
14725	235	46	wave	wave	NN
14725	235	47	DCF	DCF	NNP
14725	235	48	at	at	IN
14725	235	49	C	C	NNP
14725	235	50	at	at	IN
14725	235	51	the	the	DT
14725	235	52	same	same	JJ
14725	235	53	moment	moment	NN
14725	235	54	that	that	IN
14725	235	55	the	the	DT
14725	235	56	principal	principal	JJ
14725	235	57	wave	wave	NN
14725	235	58	emanating	emanate	VBG
14725	235	59	from	from	IN
14725	235	60	the	the	DT
14725	235	61	point	point	NN
14725	235	62	A	A	NNP
14725	235	63	has	have	VBZ
14725	235	64	arrived	arrive	VBN
14725	235	65	at	at	IN
14725	235	66	DCF	DCF	NNP
14725	235	67	;	;	:
14725	235	68	and	and	CC
14725	235	69	it	-PRON-	PRP
14725	235	70	is	be	VBZ
14725	235	71	clear	clear	JJ
14725	235	72	that	that	IN
14725	235	73	it	-PRON-	PRP
14725	235	74	will	will	MD
14725	235	75	be	be	VB
14725	235	76	only	only	RB
14725	235	77	the	the	DT
14725	235	78	region	region	NN
14725	235	79	C	c	NN
14725	235	80	of	of	IN
14725	235	81	the	the	DT
14725	235	82	wave	wave	NN
14725	235	83	KCL	KCL	NNP
14725	235	84	which	which	WDT
14725	235	85	will	will	MD
14725	235	86	touch	touch	VB
14725	235	87	the	the	DT
14725	235	88	wave	wave	NN
14725	235	89	DCF	DCF	NNP
14725	235	90	,	,	,
14725	235	91	to	to	IN
14725	235	92	wit	wit	NN
14725	235	93	,	,	,
14725	235	94	that	that	IN
14725	235	95	which	which	WDT
14725	235	96	is	be	VBZ
14725	235	97	in	in	IN
14725	235	98	the	the	DT
14725	235	99	straight	straight	JJ
14725	235	100	line	line	NN
14725	235	101	drawn	draw	VBN
14725	235	102	through	through	IN
14725	235	103	AB	AB	NNP
14725	235	104	.	.	.
14725	236	1	Similarly	similarly	RB
14725	236	2	the	the	DT
14725	236	3	other	other	JJ
14725	236	4	particles	particle	NNS
14725	236	5	of	of	IN
14725	236	6	the	the	DT
14725	236	7	sphere	sphere	JJ
14725	236	8	DCF	DCF	NNP
14725	236	9	,	,	,
14725	236	10	such	such	JJ
14725	236	11	as	as	IN
14725	236	12	_	_	NNP
14725	236	13	bb	bb	NNP
14725	236	14	_	_	NNP
14725	236	15	,	,	,
14725	236	16	_	_	NNP
14725	236	17	dd	dd	NNP
14725	236	18	_	_	NNP
14725	236	19	,	,	,
14725	236	20	etc	etc	FW
14725	236	21	.	.	FW
14725	236	22	,	,	,
14725	236	23	will	will	MD
14725	236	24	each	each	DT
14725	236	25	make	make	VB
14725	236	26	its	-PRON-	PRP$
14725	236	27	own	own	JJ
14725	236	28	wave	wave	NN
14725	236	29	.	.	.
14725	237	1	But	but	CC
14725	237	2	each	each	DT
14725	237	3	of	of	IN
14725	237	4	these	these	DT
14725	237	5	waves	wave	NNS
14725	237	6	can	can	MD
14725	237	7	be	be	VB
14725	237	8	infinitely	infinitely	RB
14725	237	9	feeble	feeble	JJ
14725	237	10	only	only	RB
14725	237	11	as	as	IN
14725	237	12	compared	compare	VBN
14725	237	13	with	with	IN
14725	237	14	the	the	DT
14725	237	15	wave	wave	NN
14725	237	16	DCF	DCF	NNP
14725	237	17	,	,	,
14725	237	18	to	to	IN
14725	237	19	the	the	DT
14725	237	20	composition	composition	NN
14725	237	21	of	of	IN
14725	237	22	which	which	WDT
14725	237	23	all	all	PDT
14725	237	24	the	the	DT
14725	237	25	others	other	NNS
14725	237	26	contribute	contribute	VBP
14725	237	27	by	by	IN
14725	237	28	the	the	DT
14725	237	29	part	part	NN
14725	237	30	of	of	IN
14725	237	31	their	-PRON-	PRP$
14725	237	32	surface	surface	NN
14725	237	33	which	which	WDT
14725	237	34	is	be	VBZ
14725	237	35	most	most	RBS
14725	237	36	distant	distant	JJ
14725	237	37	from	from	IN
14725	237	38	the	the	DT
14725	237	39	centre	centre	NN
14725	237	40	A.	a.	NN
14725	238	1	One	one	PRP
14725	238	2	sees	see	VBZ
14725	238	3	,	,	,
14725	238	4	in	in	IN
14725	238	5	addition	addition	NN
14725	238	6	,	,	,
14725	238	7	that	that	IN
14725	238	8	the	the	DT
14725	238	9	wave	wave	NN
14725	238	10	DCF	DCF	NNP
14725	238	11	is	be	VBZ
14725	238	12	determined	determine	VBN
14725	238	13	by	by	IN
14725	238	14	the	the	DT
14725	238	15	distance	distance	NN
14725	238	16	attained	attain	VBD
14725	238	17	in	in	IN
14725	238	18	a	a	DT
14725	238	19	certain	certain	JJ
14725	238	20	space	space	NN
14725	238	21	of	of	IN
14725	238	22	time	time	NN
14725	238	23	by	by	IN
14725	238	24	the	the	DT
14725	238	25	movement	movement	NN
14725	238	26	which	which	WDT
14725	238	27	started	start	VBD
14725	238	28	from	from	IN
14725	238	29	the	the	DT
14725	238	30	point	point	NN
14725	238	31	A	a	NN
14725	238	32	;	;	:
14725	238	33	there	there	EX
14725	238	34	being	be	VBG
14725	238	35	no	no	DT
14725	238	36	movement	movement	NN
14725	238	37	beyond	beyond	IN
14725	238	38	this	this	DT
14725	238	39	wave	wave	NN
14725	238	40	,	,	,
14725	238	41	though	though	IN
14725	238	42	there	there	EX
14725	238	43	will	will	MD
14725	238	44	be	be	VB
14725	238	45	in	in	IN
14725	238	46	the	the	DT
14725	238	47	space	space	NN
14725	238	48	which	which	WDT
14725	238	49	it	-PRON-	PRP
14725	238	50	encloses	enclose	VBZ
14725	238	51	,	,	,
14725	238	52	namely	namely	RB
14725	238	53	in	in	IN
14725	238	54	parts	part	NNS
14725	238	55	of	of	IN
14725	238	56	the	the	DT
14725	238	57	particular	particular	JJ
14725	238	58	waves	wave	NNS
14725	238	59	,	,	,
14725	238	60	those	those	DT
14725	238	61	parts	part	NNS
14725	238	62	which	which	WDT
14725	238	63	do	do	VBP
14725	238	64	not	not	RB
14725	238	65	touch	touch	VB
14725	238	66	the	the	DT
14725	238	67	sphere	sphere	JJ
14725	238	68	DCF	dcf	NN
14725	238	69	.	.	.
14725	239	1	And	and	CC
14725	239	2	all	all	PDT
14725	239	3	this	this	DT
14725	239	4	ought	ought	MD
14725	239	5	not	not	RB
14725	239	6	to	to	TO
14725	239	7	seem	seem	VB
14725	239	8	fraught	fraught	JJ
14725	239	9	with	with	IN
14725	239	10	too	too	RB
14725	239	11	much	much	JJ
14725	239	12	minuteness	minuteness	NN
14725	239	13	or	or	CC
14725	239	14	subtlety	subtlety	NN
14725	239	15	,	,	,
14725	239	16	since	since	IN
14725	239	17	we	-PRON-	PRP
14725	239	18	shall	shall	MD
14725	239	19	see	see	VB
14725	239	20	in	in	IN
14725	239	21	the	the	DT
14725	239	22	sequel	sequel	NN
14725	239	23	that	that	WDT
14725	239	24	all	all	PDT
14725	239	25	the	the	DT
14725	239	26	properties	property	NNS
14725	239	27	of	of	IN
14725	239	28	Light	Light	NNP
14725	239	29	,	,	,
14725	239	30	and	and	CC
14725	239	31	everything	everything	NN
14725	239	32	pertaining	pertain	VBG
14725	239	33	to	to	IN
14725	239	34	its	-PRON-	PRP$
14725	239	35	reflexion	reflexion	NN
14725	239	36	and	and	CC
14725	239	37	its	-PRON-	PRP$
14725	239	38	refraction	refraction	NN
14725	239	39	,	,	,
14725	239	40	can	can	MD
14725	239	41	be	be	VB
14725	239	42	explained	explain	VBN
14725	239	43	in	in	IN
14725	239	44	principle	principle	NN
14725	239	45	by	by	IN
14725	239	46	this	this	DT
14725	239	47	means	mean	VBZ
14725	239	48	.	.	.
14725	240	1	This	this	DT
14725	240	2	is	be	VBZ
14725	240	3	a	a	DT
14725	240	4	matter	matter	NN
14725	240	5	which	which	WDT
14725	240	6	has	have	VBZ
14725	240	7	been	be	VBN
14725	240	8	quite	quite	RB
14725	240	9	unknown	unknown	JJ
14725	240	10	to	to	IN
14725	240	11	those	those	DT
14725	240	12	who	who	WP
14725	240	13	hitherto	hitherto	VBD
14725	240	14	have	have	VBP
14725	240	15	begun	begin	VBN
14725	240	16	to	to	TO
14725	240	17	consider	consider	VB
14725	240	18	the	the	DT
14725	240	19	waves	wave	NNS
14725	240	20	of	of	IN
14725	240	21	light	light	NN
14725	240	22	,	,	,
14725	240	23	amongst	amongst	IN
14725	240	24	whom	whom	WP
14725	240	25	are	be	VBP
14725	240	26	Mr.	Mr.	NNP
14725	240	27	Hooke	Hooke	NNP
14725	240	28	in	in	IN
14725	240	29	his	-PRON-	PRP$
14725	240	30	_	_	NNP
14725	240	31	Micrographia	Micrographia	NNP
14725	240	32	_	_	NNP
14725	240	33	,	,	,
14725	240	34	and	and	CC
14725	240	35	Father	Father	NNP
14725	240	36	Pardies	Pardies	NNP
14725	240	37	,	,	,
14725	240	38	who	who	WP
14725	240	39	,	,	,
14725	240	40	in	in	IN
14725	240	41	a	a	DT
14725	240	42	treatise	treatise	NN
14725	240	43	of	of	IN
14725	240	44	which	which	WDT
14725	240	45	he	-PRON-	PRP
14725	240	46	let	let	VBD
14725	240	47	me	-PRON-	PRP
14725	240	48	see	see	VB
14725	240	49	a	a	DT
14725	240	50	portion	portion	NN
14725	240	51	,	,	,
14725	240	52	and	and	CC
14725	240	53	which	which	WDT
14725	240	54	he	-PRON-	PRP
14725	240	55	was	be	VBD
14725	240	56	unable	unable	JJ
14725	240	57	to	to	TO
14725	240	58	complete	complete	VB
14725	240	59	as	as	IN
14725	240	60	he	-PRON-	PRP
14725	240	61	died	die	VBD
14725	240	62	shortly	shortly	RB
14725	240	63	afterward	afterward	RB
14725	240	64	,	,	,
14725	240	65	had	have	VBD
14725	240	66	undertaken	undertake	VBN
14725	240	67	to	to	TO
14725	240	68	prove	prove	VB
14725	240	69	by	by	IN
14725	240	70	these	these	DT
14725	240	71	waves	wave	NNS
14725	240	72	the	the	DT
14725	240	73	effects	effect	NNS
14725	240	74	of	of	IN
14725	240	75	reflexion	reflexion	NN
14725	240	76	and	and	CC
14725	240	77	refraction	refraction	NN
14725	240	78	.	.	.
14725	241	1	But	but	CC
14725	241	2	the	the	DT
14725	241	3	chief	chief	JJ
14725	241	4	foundation	foundation	NN
14725	241	5	,	,	,
14725	241	6	which	which	WDT
14725	241	7	consists	consist	VBZ
14725	241	8	in	in	IN
14725	241	9	the	the	DT
14725	241	10	remark	remark	NN
14725	241	11	I	-PRON-	PRP
14725	241	12	have	have	VBP
14725	241	13	just	just	RB
14725	241	14	made	make	VBN
14725	241	15	,	,	,
14725	241	16	was	be	VBD
14725	241	17	lacking	lack	VBG
14725	241	18	in	in	IN
14725	241	19	his	-PRON-	PRP$
14725	241	20	demonstrations	demonstration	NNS
14725	241	21	;	;	,
14725	241	22	and	and	CC
14725	241	23	for	for	IN
14725	241	24	the	the	DT
14725	241	25	rest	rest	NN
14725	241	26	he	-PRON-	PRP
14725	241	27	had	have	VBD
14725	241	28	opinions	opinion	NNS
14725	241	29	very	very	RB
14725	241	30	different	different	JJ
14725	241	31	from	from	IN
14725	241	32	mine	-PRON-	PRP
14725	241	33	,	,	,
14725	241	34	as	as	IN
14725	241	35	may	may	MD
14725	241	36	be	be	VB
14725	241	37	will	will	MD
14725	241	38	appear	appear	VB
14725	241	39	some	some	DT
14725	241	40	day	day	NN
14725	241	41	if	if	IN
14725	241	42	his	-PRON-	PRP$
14725	241	43	writing	writing	NN
14725	241	44	has	have	VBZ
14725	241	45	been	be	VBN
14725	241	46	preserved	preserve	VBN
14725	241	47	.	.	.
14725	242	1	To	to	TO
14725	242	2	come	come	VB
14725	242	3	to	to	IN
14725	242	4	the	the	DT
14725	242	5	properties	property	NNS
14725	242	6	of	of	IN
14725	242	7	Light	Light	NNP
14725	242	8	.	.	.
14725	243	1	We	-PRON-	PRP
14725	243	2	remark	remark	VBP
14725	243	3	first	first	RB
14725	243	4	that	that	IN
14725	243	5	each	each	DT
14725	243	6	portion	portion	NN
14725	243	7	of	of	IN
14725	243	8	a	a	DT
14725	243	9	wave	wave	NN
14725	243	10	ought	ought	MD
14725	243	11	to	to	TO
14725	243	12	spread	spread	VB
14725	243	13	in	in	IN
14725	243	14	such	such	PDT
14725	243	15	a	a	DT
14725	243	16	way	way	NN
14725	243	17	that	that	WDT
14725	243	18	its	-PRON-	PRP$
14725	243	19	extremities	extremity	NNS
14725	243	20	lie	lie	VBP
14725	243	21	always	always	RB
14725	243	22	between	between	IN
14725	243	23	the	the	DT
14725	243	24	same	same	JJ
14725	243	25	straight	straight	JJ
14725	243	26	lines	line	NNS
14725	243	27	drawn	draw	VBN
14725	243	28	from	from	IN
14725	243	29	the	the	DT
14725	243	30	luminous	luminous	JJ
14725	243	31	point	point	NN
14725	243	32	.	.	.
14725	244	1	Thus	thus	RB
14725	244	2	the	the	DT
14725	244	3	portion	portion	NN
14725	244	4	BG	BG	NNP
14725	244	5	of	of	IN
14725	244	6	the	the	DT
14725	244	7	wave	wave	NN
14725	244	8	,	,	,
14725	244	9	having	have	VBG
14725	244	10	the	the	DT
14725	244	11	luminous	luminous	JJ
14725	244	12	point	point	NN
14725	244	13	A	A	NNP
14725	244	14	as	as	IN
14725	244	15	its	-PRON-	PRP$
14725	244	16	centre	centre	NN
14725	244	17	,	,	,
14725	244	18	will	will	MD
14725	244	19	spread	spread	VB
14725	244	20	into	into	IN
14725	244	21	the	the	DT
14725	244	22	arc	arc	NNP
14725	244	23	CE	CE	NNP
14725	244	24	bounded	bound	VBN
14725	244	25	by	by	IN
14725	244	26	the	the	DT
14725	244	27	straight	straight	JJ
14725	244	28	lines	line	NNS
14725	244	29	ABC	ABC	NNP
14725	244	30	,	,	,
14725	244	31	AGE	AGE	NNP
14725	244	32	.	.	.
14725	245	1	For	for	IN
14725	245	2	although	although	IN
14725	245	3	the	the	DT
14725	245	4	particular	particular	JJ
14725	245	5	waves	wave	NNS
14725	245	6	produced	produce	VBN
14725	245	7	by	by	IN
14725	245	8	the	the	DT
14725	245	9	particles	particle	NNS
14725	245	10	comprised	comprise	VBN
14725	245	11	within	within	IN
14725	245	12	the	the	DT
14725	245	13	space	space	NN
14725	245	14	CAE	CAE	NNP
14725	245	15	spread	spread	VBD
14725	245	16	also	also	RB
14725	245	17	outside	outside	IN
14725	245	18	this	this	DT
14725	245	19	space	space	NN
14725	245	20	,	,	,
14725	245	21	they	-PRON-	PRP
14725	245	22	yet	yet	RB
14725	245	23	do	do	VBP
14725	245	24	not	not	RB
14725	245	25	concur	concur	VB
14725	245	26	at	at	IN
14725	245	27	the	the	DT
14725	245	28	same	same	JJ
14725	245	29	instant	instant	NN
14725	245	30	to	to	TO
14725	245	31	compose	compose	VB
14725	245	32	a	a	DT
14725	245	33	wave	wave	NN
14725	245	34	which	which	WDT
14725	245	35	terminates	terminate	VBZ
14725	245	36	the	the	DT
14725	245	37	movement	movement	NN
14725	245	38	,	,	,
14725	245	39	as	as	IN
14725	245	40	they	-PRON-	PRP
14725	245	41	do	do	VBP
14725	245	42	precisely	precisely	RB
14725	245	43	at	at	IN
14725	245	44	the	the	DT
14725	245	45	circumference	circumference	NN
14725	245	46	CE	CE	NNP
14725	245	47	,	,	,
14725	245	48	which	which	WDT
14725	245	49	is	be	VBZ
14725	245	50	their	-PRON-	PRP$
14725	245	51	common	common	JJ
14725	245	52	tangent	tangent	NN
14725	245	53	.	.	.
14725	246	1	And	and	CC
14725	246	2	hence	hence	RB
14725	246	3	one	one	PRP
14725	246	4	sees	see	VBZ
14725	246	5	the	the	DT
14725	246	6	reason	reason	NN
14725	246	7	why	why	WRB
14725	246	8	light	light	NN
14725	246	9	,	,	,
14725	246	10	at	at	IN
14725	246	11	least	least	JJS
14725	246	12	if	if	IN
14725	246	13	its	-PRON-	PRP$
14725	246	14	rays	ray	NNS
14725	246	15	are	be	VBP
14725	246	16	not	not	RB
14725	246	17	reflected	reflect	VBN
14725	246	18	or	or	CC
14725	246	19	broken	break	VBN
14725	246	20	,	,	,
14725	246	21	spreads	spread	VBZ
14725	246	22	only	only	RB
14725	246	23	by	by	IN
14725	246	24	straight	straight	JJ
14725	246	25	lines	line	NNS
14725	246	26	,	,	,
14725	246	27	so	so	IN
14725	246	28	that	that	IN
14725	246	29	it	-PRON-	PRP
14725	246	30	illuminates	illuminate	VBZ
14725	246	31	no	no	DT
14725	246	32	object	object	NN
14725	246	33	except	except	IN
14725	246	34	when	when	WRB
14725	246	35	the	the	DT
14725	246	36	path	path	NN
14725	246	37	from	from	IN
14725	246	38	its	-PRON-	PRP$
14725	246	39	source	source	NN
14725	246	40	to	to	IN
14725	246	41	that	that	DT
14725	246	42	object	object	NN
14725	246	43	is	be	VBZ
14725	246	44	open	open	JJ
14725	246	45	along	along	IN
14725	246	46	such	such	JJ
14725	246	47	lines	line	NNS
14725	246	48	.	.	.
14725	247	1	For	for	IN
14725	247	2	if	if	IN
14725	247	3	,	,	,
14725	247	4	for	for	IN
14725	247	5	example	example	NN
14725	247	6	,	,	,
14725	247	7	there	there	EX
14725	247	8	were	be	VBD
14725	247	9	an	an	DT
14725	247	10	opening	opening	NN
14725	247	11	BG	BG	NNP
14725	247	12	,	,	,
14725	247	13	limited	limit	VBN
14725	247	14	by	by	IN
14725	247	15	opaque	opaque	JJ
14725	247	16	bodies	body	NNS
14725	247	17	BH	BH	NNP
14725	247	18	,	,	,
14725	247	19	GI	GI	NNP
14725	247	20	,	,	,
14725	247	21	the	the	DT
14725	247	22	wave	wave	NN
14725	247	23	of	of	IN
14725	247	24	light	light	NN
14725	247	25	which	which	WDT
14725	247	26	issues	issue	NNS
14725	247	27	from	from	IN
14725	247	28	the	the	DT
14725	247	29	point	point	NN
14725	247	30	A	A	NNP
14725	247	31	will	will	MD
14725	247	32	always	always	RB
14725	247	33	be	be	VB
14725	247	34	terminated	terminate	VBN
14725	247	35	by	by	IN
14725	247	36	the	the	DT
14725	247	37	straight	straight	JJ
14725	247	38	lines	line	NNS
14725	247	39	AC	AC	NNP
14725	247	40	,	,	,
14725	247	41	AE	AE	NNP
14725	247	42	,	,	,
14725	247	43	as	as	IN
14725	247	44	has	have	VBZ
14725	247	45	just	just	RB
14725	247	46	been	be	VBN
14725	247	47	shown	show	VBN
14725	247	48	;	;	:
14725	247	49	the	the	DT
14725	247	50	parts	part	NNS
14725	247	51	of	of	IN
14725	247	52	the	the	DT
14725	247	53	partial	partial	JJ
14725	247	54	waves	wave	NNS
14725	247	55	which	which	WDT
14725	247	56	spread	spread	VBD
14725	247	57	outside	outside	IN
14725	247	58	the	the	DT
14725	247	59	space	space	NN
14725	247	60	ACE	ACE	NNP
14725	247	61	being	be	VBG
14725	247	62	too	too	RB
14725	247	63	feeble	feeble	JJ
14725	247	64	to	to	TO
14725	247	65	produce	produce	VB
14725	247	66	light	light	NN
14725	247	67	there	there	RB
14725	247	68	.	.	.
14725	248	1	Now	now	RB
14725	248	2	,	,	,
14725	248	3	however	however	WRB
14725	248	4	small	small	JJ
14725	248	5	we	-PRON-	PRP
14725	248	6	make	make	VBP
14725	248	7	the	the	DT
14725	248	8	opening	opening	NN
14725	248	9	BG	BG	NNP
14725	248	10	,	,	,
14725	248	11	there	there	EX
14725	248	12	is	be	VBZ
14725	248	13	always	always	RB
14725	248	14	the	the	DT
14725	248	15	same	same	JJ
14725	248	16	reason	reason	NN
14725	248	17	causing	cause	VBG
14725	248	18	the	the	DT
14725	248	19	light	light	NN
14725	248	20	there	there	RB
14725	248	21	to	to	TO
14725	248	22	pass	pass	VB
14725	248	23	between	between	IN
14725	248	24	straight	straight	JJ
14725	248	25	lines	line	NNS
14725	248	26	;	;	:
14725	248	27	since	since	IN
14725	248	28	this	this	DT
14725	248	29	opening	opening	NN
14725	248	30	is	be	VBZ
14725	248	31	always	always	RB
14725	248	32	large	large	JJ
14725	248	33	enough	enough	RB
14725	248	34	to	to	TO
14725	248	35	contain	contain	VB
14725	248	36	a	a	DT
14725	248	37	great	great	JJ
14725	248	38	number	number	NN
14725	248	39	of	of	IN
14725	248	40	particles	particle	NNS
14725	248	41	of	of	IN
14725	248	42	the	the	DT
14725	248	43	ethereal	ethereal	JJ
14725	248	44	matter	matter	NN
14725	248	45	,	,	,
14725	248	46	which	which	WDT
14725	248	47	are	be	VBP
14725	248	48	of	of	IN
14725	248	49	an	an	DT
14725	248	50	inconceivable	inconceivable	JJ
14725	248	51	smallness	smallness	NN
14725	248	52	;	;	:
14725	248	53	so	so	IN
14725	248	54	that	that	IN
14725	248	55	it	-PRON-	PRP
14725	248	56	appears	appear	VBZ
14725	248	57	that	that	IN
14725	248	58	each	each	DT
14725	248	59	little	little	JJ
14725	248	60	portion	portion	NN
14725	248	61	of	of	IN
14725	248	62	the	the	DT
14725	248	63	wave	wave	NN
14725	248	64	necessarily	necessarily	RB
14725	248	65	advances	advance	VBZ
14725	248	66	following	follow	VBG
14725	248	67	the	the	DT
14725	248	68	straight	straight	JJ
14725	248	69	line	line	NN
14725	248	70	which	which	WDT
14725	248	71	comes	come	VBZ
14725	248	72	from	from	IN
14725	248	73	the	the	DT
14725	248	74	luminous	luminous	JJ
14725	248	75	point	point	NN
14725	248	76	.	.	.
14725	249	1	Thus	thus	RB
14725	249	2	then	then	RB
14725	249	3	we	-PRON-	PRP
14725	249	4	may	may	MD
14725	249	5	take	take	VB
14725	249	6	the	the	DT
14725	249	7	rays	ray	NNS
14725	249	8	of	of	IN
14725	249	9	light	light	NN
14725	249	10	as	as	IN
14725	249	11	if	if	IN
14725	249	12	they	-PRON-	PRP
14725	249	13	were	be	VBD
14725	249	14	straight	straight	JJ
14725	249	15	lines	line	NNS
14725	249	16	.	.	.
14725	250	1	It	-PRON-	PRP
14725	250	2	appears	appear	VBZ
14725	250	3	,	,	,
14725	250	4	moreover	moreover	RB
14725	250	5	,	,	,
14725	250	6	by	by	IN
14725	250	7	what	what	WP
14725	250	8	has	have	VBZ
14725	250	9	been	be	VBN
14725	250	10	remarked	remark	VBN
14725	250	11	touching	touch	VBG
14725	250	12	the	the	DT
14725	250	13	feebleness	feebleness	NN
14725	250	14	of	of	IN
14725	250	15	the	the	DT
14725	250	16	particular	particular	JJ
14725	250	17	waves	wave	NNS
14725	250	18	,	,	,
14725	250	19	that	that	IN
14725	250	20	it	-PRON-	PRP
14725	250	21	is	be	VBZ
14725	250	22	not	not	RB
14725	250	23	needful	needful	JJ
14725	250	24	that	that	IN
14725	250	25	all	all	PDT
14725	250	26	the	the	DT
14725	250	27	particles	particle	NNS
14725	250	28	of	of	IN
14725	250	29	the	the	DT
14725	250	30	Ether	Ether	NNP
14725	250	31	should	should	MD
14725	250	32	be	be	VB
14725	250	33	equal	equal	JJ
14725	250	34	amongst	amongst	IN
14725	250	35	themselves	-PRON-	PRP
14725	250	36	,	,	,
14725	250	37	though	though	IN
14725	250	38	equality	equality	NN
14725	250	39	is	be	VBZ
14725	250	40	more	more	RBR
14725	250	41	apt	apt	JJ
14725	250	42	for	for	IN
14725	250	43	the	the	DT
14725	250	44	propagation	propagation	NN
14725	250	45	of	of	IN
14725	250	46	the	the	DT
14725	250	47	movement	movement	NN
14725	250	48	.	.	.
14725	251	1	For	for	IN
14725	251	2	it	-PRON-	PRP
14725	251	3	is	be	VBZ
14725	251	4	true	true	JJ
14725	251	5	that	that	IN
14725	251	6	inequality	inequality	NN
14725	251	7	will	will	MD
14725	251	8	cause	cause	VB
14725	251	9	a	a	DT
14725	251	10	particle	particle	NN
14725	251	11	by	by	IN
14725	251	12	pushing	push	VBG
14725	251	13	against	against	IN
14725	251	14	another	another	DT
14725	251	15	larger	large	JJR
14725	251	16	one	one	NN
14725	251	17	to	to	TO
14725	251	18	strive	strive	VB
14725	251	19	to	to	TO
14725	251	20	recoil	recoil	VB
14725	251	21	with	with	IN
14725	251	22	a	a	DT
14725	251	23	part	part	NN
14725	251	24	of	of	IN
14725	251	25	its	-PRON-	PRP$
14725	251	26	movement	movement	NN
14725	251	27	;	;	:
14725	251	28	but	but	CC
14725	251	29	it	-PRON-	PRP
14725	251	30	will	will	MD
14725	251	31	thereby	thereby	RB
14725	251	32	merely	merely	RB
14725	251	33	generate	generate	VB
14725	251	34	backwards	backwards	RB
14725	251	35	towards	towards	IN
14725	251	36	the	the	DT
14725	251	37	luminous	luminous	JJ
14725	251	38	point	point	NN
14725	251	39	some	some	DT
14725	251	40	partial	partial	JJ
14725	251	41	waves	wave	NNS
14725	251	42	incapable	incapable	JJ
14725	251	43	of	of	IN
14725	251	44	causing	cause	VBG
14725	251	45	light	light	NN
14725	251	46	,	,	,
14725	251	47	and	and	CC
14725	251	48	not	not	RB
14725	251	49	a	a	DT
14725	251	50	wave	wave	NN
14725	251	51	compounded	compound	VBN
14725	251	52	of	of	IN
14725	251	53	many	many	JJ
14725	251	54	as	as	IN
14725	251	55	CE	CE	NNP
14725	251	56	was	be	VBD
14725	251	57	.	.	.
14725	252	1	Another	another	DT
14725	252	2	property	property	NN
14725	252	3	of	of	IN
14725	252	4	waves	wave	NNS
14725	252	5	of	of	IN
14725	252	6	light	light	NN
14725	252	7	,	,	,
14725	252	8	and	and	CC
14725	252	9	one	one	CD
14725	252	10	of	of	IN
14725	252	11	the	the	DT
14725	252	12	most	most	RBS
14725	252	13	marvellous	marvellous	JJ
14725	252	14	,	,	,
14725	252	15	is	be	VBZ
14725	252	16	that	that	IN
14725	252	17	when	when	WRB
14725	252	18	some	some	DT
14725	252	19	of	of	IN
14725	252	20	them	-PRON-	PRP
14725	252	21	come	come	VBP
14725	252	22	from	from	IN
14725	252	23	different	different	JJ
14725	252	24	or	or	CC
14725	252	25	even	even	RB
14725	252	26	from	from	IN
14725	252	27	opposing	oppose	VBG
14725	252	28	sides	side	NNS
14725	252	29	,	,	,
14725	252	30	they	-PRON-	PRP
14725	252	31	produce	produce	VBP
14725	252	32	their	-PRON-	PRP$
14725	252	33	effect	effect	NN
14725	252	34	across	across	IN
14725	252	35	one	one	CD
14725	252	36	another	another	DT
14725	252	37	without	without	IN
14725	252	38	any	any	DT
14725	252	39	hindrance	hindrance	NN
14725	252	40	.	.	.
14725	253	1	Whence	whence	NN
14725	253	2	also	also	RB
14725	253	3	it	-PRON-	PRP
14725	253	4	comes	come	VBZ
14725	253	5	about	about	IN
14725	253	6	that	that	IN
14725	253	7	a	a	DT
14725	253	8	number	number	NN
14725	253	9	of	of	IN
14725	253	10	spectators	spectator	NNS
14725	253	11	may	may	MD
14725	253	12	view	view	VB
14725	253	13	different	different	JJ
14725	253	14	objects	object	NNS
14725	253	15	at	at	IN
14725	253	16	the	the	DT
14725	253	17	same	same	JJ
14725	253	18	time	time	NN
14725	253	19	through	through	IN
14725	253	20	the	the	DT
14725	253	21	same	same	JJ
14725	253	22	opening	opening	NN
14725	253	23	,	,	,
14725	253	24	and	and	CC
14725	253	25	that	that	IN
14725	253	26	two	two	CD
14725	253	27	persons	person	NNS
14725	253	28	can	can	MD
14725	253	29	at	at	IN
14725	253	30	the	the	DT
14725	253	31	same	same	JJ
14725	253	32	time	time	NN
14725	253	33	see	see	VB
14725	253	34	one	one	NN
14725	253	35	another	another	DT
14725	253	36	's	's	POS
14725	253	37	eyes	eye	NNS
14725	253	38	.	.	.
14725	254	1	Now	now	RB
14725	254	2	according	accord	VBG
14725	254	3	to	to	IN
14725	254	4	the	the	DT
14725	254	5	explanation	explanation	NN
14725	254	6	which	which	WDT
14725	254	7	has	have	VBZ
14725	254	8	been	be	VBN
14725	254	9	given	give	VBN
14725	254	10	of	of	IN
14725	254	11	the	the	DT
14725	254	12	action	action	NN
14725	254	13	of	of	IN
14725	254	14	light	light	NN
14725	254	15	,	,	,
14725	254	16	how	how	WRB
14725	254	17	the	the	DT
14725	254	18	waves	wave	NNS
14725	254	19	do	do	VBP
14725	254	20	not	not	RB
14725	254	21	destroy	destroy	VB
14725	254	22	nor	nor	CC
14725	254	23	interrupt	interrupt	VB
14725	254	24	one	one	NN
14725	254	25	another	another	DT
14725	254	26	when	when	WRB
14725	254	27	they	-PRON-	PRP
14725	254	28	cross	cross	VBP
14725	254	29	one	one	CD
14725	254	30	another	another	DT
14725	254	31	,	,	,
14725	254	32	these	these	DT
14725	254	33	effects	effect	NNS
14725	254	34	which	which	WDT
14725	254	35	I	-PRON-	PRP
14725	254	36	have	have	VBP
14725	254	37	just	just	RB
14725	254	38	mentioned	mention	VBN
14725	254	39	are	be	VBP
14725	254	40	easily	easily	RB
14725	254	41	conceived	conceive	VBN
14725	254	42	.	.	.
14725	255	1	But	but	CC
14725	255	2	in	in	IN
14725	255	3	my	-PRON-	PRP$
14725	255	4	judgement	judgement	NN
14725	255	5	they	-PRON-	PRP
14725	255	6	are	be	VBP
14725	255	7	not	not	RB
14725	255	8	at	at	RB
14725	255	9	all	all	RB
14725	255	10	easy	easy	JJ
14725	255	11	to	to	TO
14725	255	12	explain	explain	VB
14725	255	13	according	accord	VBG
14725	255	14	to	to	IN
14725	255	15	the	the	DT
14725	255	16	views	view	NNS
14725	255	17	of	of	IN
14725	255	18	Mr.	Mr.	NNP
14725	255	19	Des	Des	NNP
14725	255	20	Cartes	Cartes	NNP
14725	255	21	,	,	,
14725	255	22	who	who	WP
14725	255	23	makes	make	VBZ
14725	255	24	Light	light	NN
14725	255	25	to	to	TO
14725	255	26	consist	consist	VB
14725	255	27	in	in	IN
14725	255	28	a	a	DT
14725	255	29	continuous	continuous	JJ
14725	255	30	pressure	pressure	NN
14725	255	31	merely	merely	RB
14725	255	32	tending	tend	VBG
14725	255	33	to	to	IN
14725	255	34	movement	movement	NN
14725	255	35	.	.	.
14725	256	1	For	for	IN
14725	256	2	this	this	DT
14725	256	3	pressure	pressure	NN
14725	256	4	not	not	RB
14725	256	5	being	be	VBG
14725	256	6	able	able	JJ
14725	256	7	to	to	TO
14725	256	8	act	act	VB
14725	256	9	from	from	IN
14725	256	10	two	two	CD
14725	256	11	opposite	opposite	JJ
14725	256	12	sides	side	NNS
14725	256	13	at	at	IN
14725	256	14	the	the	DT
14725	256	15	same	same	JJ
14725	256	16	time	time	NN
14725	256	17	,	,	,
14725	256	18	against	against	IN
14725	256	19	bodies	body	NNS
14725	256	20	which	which	WDT
14725	256	21	have	have	VBP
14725	256	22	no	no	DT
14725	256	23	inclination	inclination	NN
14725	256	24	to	to	TO
14725	256	25	approach	approach	VB
14725	256	26	one	one	CD
14725	256	27	another	another	DT
14725	256	28	,	,	,
14725	256	29	it	-PRON-	PRP
14725	256	30	is	be	VBZ
14725	256	31	impossible	impossible	JJ
14725	256	32	so	so	IN
14725	256	33	to	to	TO
14725	256	34	understand	understand	VB
14725	256	35	what	what	WP
14725	256	36	I	-PRON-	PRP
14725	256	37	have	have	VBP
14725	256	38	been	be	VBN
14725	256	39	saying	say	VBG
14725	256	40	about	about	IN
14725	256	41	two	two	CD
14725	256	42	persons	person	NNS
14725	256	43	mutually	mutually	RB
14725	256	44	seeing	see	VBG
14725	256	45	one	one	CD
14725	256	46	another	another	DT
14725	256	47	's	's	POS
14725	256	48	eyes	eye	NNS
14725	256	49	,	,	,
14725	256	50	or	or	CC
14725	256	51	how	how	WRB
14725	256	52	two	two	CD
14725	256	53	torches	torch	NNS
14725	256	54	can	can	MD
14725	256	55	illuminate	illuminate	VB
14725	256	56	one	one	NN
14725	256	57	another	another	DT
14725	256	58	.	.	.
14725	257	1	CHAPTER	CHAPTER	NNP
14725	257	2	II	II	NNP
14725	257	3	ON	on	IN
14725	257	4	REFLEXION	reflexion	NN
14725	257	5	Having	have	VBG
14725	257	6	explained	explain	VBD
14725	257	7	the	the	DT
14725	257	8	effects	effect	NNS
14725	257	9	of	of	IN
14725	257	10	waves	wave	NNS
14725	257	11	of	of	IN
14725	257	12	light	light	NN
14725	257	13	which	which	WDT
14725	257	14	spread	spread	VBD
14725	257	15	in	in	IN
14725	257	16	a	a	DT
14725	257	17	homogeneous	homogeneous	JJ
14725	257	18	matter	matter	NN
14725	257	19	,	,	,
14725	257	20	we	-PRON-	PRP
14725	257	21	will	will	MD
14725	257	22	examine	examine	VB
14725	257	23	next	next	JJ
14725	257	24	that	that	DT
14725	257	25	which	which	WDT
14725	257	26	happens	happen	VBZ
14725	257	27	to	to	IN
14725	257	28	them	-PRON-	PRP
14725	257	29	on	on	IN
14725	257	30	encountering	encounter	VBG
14725	257	31	other	other	JJ
14725	257	32	bodies	body	NNS
14725	257	33	.	.	.
14725	258	1	We	-PRON-	PRP
14725	258	2	will	will	MD
14725	258	3	first	first	RB
14725	258	4	make	make	VB
14725	258	5	evident	evident	JJ
14725	258	6	how	how	WRB
14725	258	7	the	the	DT
14725	258	8	Reflexion	Reflexion	NNP
14725	258	9	of	of	IN
14725	258	10	light	light	NN
14725	258	11	is	be	VBZ
14725	258	12	explained	explain	VBN
14725	258	13	by	by	IN
14725	258	14	these	these	DT
14725	258	15	same	same	JJ
14725	258	16	waves	wave	NNS
14725	258	17	,	,	,
14725	258	18	and	and	CC
14725	258	19	why	why	WRB
14725	258	20	it	-PRON-	PRP
14725	258	21	preserves	preserve	VBZ
14725	258	22	equality	equality	NN
14725	258	23	of	of	IN
14725	258	24	angles	angle	NNS
14725	258	25	.	.	.
14725	259	1	Let	let	VB
14725	259	2	there	there	EX
14725	259	3	be	be	VB
14725	259	4	a	a	DT
14725	259	5	surface	surface	NN
14725	259	6	AB	ab	NN
14725	259	7	;	;	:
14725	259	8	plane	plane	NN
14725	259	9	and	and	CC
14725	259	10	polished	polished	JJ
14725	259	11	,	,	,
14725	259	12	of	of	IN
14725	259	13	some	some	DT
14725	259	14	metal	metal	NN
14725	259	15	,	,	,
14725	259	16	glass	glass	NN
14725	259	17	,	,	,
14725	259	18	or	or	CC
14725	259	19	other	other	JJ
14725	259	20	body	body	NN
14725	259	21	,	,	,
14725	259	22	which	which	WDT
14725	259	23	at	at	IN
14725	259	24	first	first	RB
14725	259	25	I	-PRON-	PRP
14725	259	26	will	will	MD
14725	259	27	consider	consider	VB
14725	259	28	as	as	RB
14725	259	29	perfectly	perfectly	RB
14725	259	30	uniform	uniform	JJ
14725	259	31	(	(	-LRB-
14725	259	32	reserving	reserve	VBG
14725	259	33	to	to	IN
14725	259	34	myself	-PRON-	PRP
14725	259	35	to	to	TO
14725	259	36	deal	deal	VB
14725	259	37	at	at	IN
14725	259	38	the	the	DT
14725	259	39	end	end	NN
14725	259	40	of	of	IN
14725	259	41	this	this	DT
14725	259	42	demonstration	demonstration	NN
14725	259	43	with	with	IN
14725	259	44	the	the	DT
14725	259	45	inequalities	inequality	NNS
14725	259	46	from	from	IN
14725	259	47	which	which	WDT
14725	259	48	it	-PRON-	PRP
14725	259	49	can	can	MD
14725	259	50	not	not	RB
14725	259	51	be	be	VB
14725	259	52	exempt	exempt	JJ
14725	259	53	)	)	-RRB-
14725	259	54	,	,	,
14725	259	55	and	and	CC
14725	259	56	let	let	VB
14725	259	57	a	a	DT
14725	259	58	line	line	NN
14725	259	59	AC	AC	NNP
14725	259	60	,	,	,
14725	259	61	inclined	incline	VBN
14725	259	62	to	to	IN
14725	259	63	AD	ad	NN
14725	259	64	,	,	,
14725	259	65	represent	represent	VB
14725	259	66	a	a	DT
14725	259	67	portion	portion	NN
14725	259	68	of	of	IN
14725	259	69	a	a	DT
14725	259	70	wave	wave	NN
14725	259	71	of	of	IN
14725	259	72	light	light	NN
14725	259	73	,	,	,
14725	259	74	the	the	DT
14725	259	75	centre	centre	NN
14725	259	76	of	of	IN
14725	259	77	which	which	WDT
14725	259	78	is	be	VBZ
14725	259	79	so	so	RB
14725	259	80	distant	distant	JJ
14725	259	81	that	that	IN
14725	259	82	this	this	DT
14725	259	83	portion	portion	NN
14725	259	84	AC	AC	NNP
14725	259	85	may	may	MD
14725	259	86	be	be	VB
14725	259	87	considered	consider	VBN
14725	259	88	as	as	IN
14725	259	89	a	a	DT
14725	259	90	straight	straight	JJ
14725	259	91	line	line	NN
14725	259	92	;	;	:
14725	259	93	for	for	IN
14725	259	94	I	-PRON-	PRP
14725	259	95	consider	consider	VBP
14725	259	96	all	all	PDT
14725	259	97	this	this	DT
14725	259	98	as	as	IN
14725	259	99	in	in	IN
14725	259	100	one	one	CD
14725	259	101	plane	plane	NN
14725	259	102	,	,	,
14725	259	103	imagining	imagine	VBG
14725	259	104	to	to	IN
14725	259	105	myself	-PRON-	PRP
14725	259	106	that	that	IN
14725	259	107	the	the	DT
14725	259	108	plane	plane	NN
14725	259	109	in	in	IN
14725	259	110	which	which	WDT
14725	259	111	this	this	DT
14725	259	112	figure	figure	NN
14725	259	113	is	be	VBZ
14725	259	114	,	,	,
14725	259	115	cuts	cut	VBZ
14725	259	116	the	the	DT
14725	259	117	sphere	sphere	NN
14725	259	118	of	of	IN
14725	259	119	the	the	DT
14725	259	120	wave	wave	NN
14725	259	121	through	through	IN
14725	259	122	its	-PRON-	PRP$
14725	259	123	centre	centre	NN
14725	259	124	and	and	CC
14725	259	125	intersects	intersect	VBZ
14725	259	126	the	the	DT
14725	259	127	plane	plane	NN
14725	259	128	AB	ab	NN
14725	259	129	at	at	IN
14725	259	130	right	right	JJ
14725	259	131	angles	angle	NNS
14725	259	132	.	.	.
14725	260	1	This	this	DT
14725	260	2	explanation	explanation	NN
14725	260	3	will	will	MD
14725	260	4	suffice	suffice	VB
14725	260	5	once	once	RB
14725	260	6	for	for	IN
14725	260	7	all	all	DT
14725	260	8	.	.	.
14725	261	1	[	[	-LRB-
14725	261	2	Illustration	illustration	NN
14725	261	3	]	]	-RRB-
14725	261	4	The	the	DT
14725	261	5	piece	piece	NN
14725	261	6	C	c	NN
14725	261	7	of	of	IN
14725	261	8	the	the	DT
14725	261	9	wave	wave	NN
14725	261	10	AC	AC	NNP
14725	261	11	,	,	,
14725	261	12	will	will	MD
14725	261	13	in	in	IN
14725	261	14	a	a	DT
14725	261	15	certain	certain	JJ
14725	261	16	space	space	NN
14725	261	17	of	of	IN
14725	261	18	time	time	NN
14725	261	19	advance	advance	NN
14725	261	20	as	as	RB
14725	261	21	far	far	RB
14725	261	22	as	as	IN
14725	261	23	the	the	DT
14725	261	24	plane	plane	NN
14725	261	25	AB	ab	NN
14725	261	26	at	at	IN
14725	261	27	B	b	NN
14725	261	28	,	,	,
14725	261	29	following	follow	VBG
14725	261	30	the	the	DT
14725	261	31	straight	straight	JJ
14725	261	32	line	line	NN
14725	261	33	CB	CB	NNP
14725	261	34	,	,	,
14725	261	35	which	which	WDT
14725	261	36	may	may	MD
14725	261	37	be	be	VB
14725	261	38	supposed	suppose	VBN
14725	261	39	to	to	TO
14725	261	40	come	come	VB
14725	261	41	from	from	IN
14725	261	42	the	the	DT
14725	261	43	luminous	luminous	JJ
14725	261	44	centre	centre	NN
14725	261	45	,	,	,
14725	261	46	and	and	CC
14725	261	47	which	which	WDT
14725	261	48	in	in	IN
14725	261	49	consequence	consequence	NN
14725	261	50	is	be	VBZ
14725	261	51	perpendicular	perpendicular	JJ
14725	261	52	to	to	IN
14725	261	53	AC	AC	NNP
14725	261	54	.	.	.
14725	262	1	Now	now	RB
14725	262	2	in	in	IN
14725	262	3	this	this	DT
14725	262	4	same	same	JJ
14725	262	5	space	space	NN
14725	262	6	of	of	IN
14725	262	7	time	time	NN
14725	262	8	the	the	DT
14725	262	9	portion	portion	NN
14725	262	10	A	a	DT
14725	262	11	of	of	IN
14725	262	12	the	the	DT
14725	262	13	same	same	JJ
14725	262	14	wave	wave	NN
14725	262	15	,	,	,
14725	262	16	which	which	WDT
14725	262	17	has	have	VBZ
14725	262	18	been	be	VBN
14725	262	19	hindered	hinder	VBN
14725	262	20	from	from	IN
14725	262	21	communicating	communicate	VBG
14725	262	22	its	-PRON-	PRP$
14725	262	23	movement	movement	NN
14725	262	24	beyond	beyond	IN
14725	262	25	the	the	DT
14725	262	26	plane	plane	NN
14725	262	27	AB	ab	NN
14725	262	28	,	,	,
14725	262	29	or	or	CC
14725	262	30	at	at	IN
14725	262	31	least	least	JJS
14725	262	32	partly	partly	RB
14725	262	33	so	so	RB
14725	262	34	,	,	,
14725	262	35	ought	ought	MD
14725	262	36	to	to	TO
14725	262	37	have	have	VB
14725	262	38	continued	continue	VBN
14725	262	39	its	-PRON-	PRP$
14725	262	40	movement	movement	NN
14725	262	41	in	in	IN
14725	262	42	the	the	DT
14725	262	43	matter	matter	NN
14725	262	44	which	which	WDT
14725	262	45	is	be	VBZ
14725	262	46	above	above	IN
14725	262	47	this	this	DT
14725	262	48	plane	plane	NN
14725	262	49	,	,	,
14725	262	50	and	and	CC
14725	262	51	this	this	DT
14725	262	52	along	along	IN
14725	262	53	a	a	DT
14725	262	54	distance	distance	NN
14725	262	55	equal	equal	JJ
14725	262	56	to	to	IN
14725	262	57	CB	CB	NNP
14725	262	58	,	,	,
14725	262	59	making	make	VBG
14725	262	60	its	-PRON-	PRP$
14725	262	61	own	own	JJ
14725	262	62	partial	partial	JJ
14725	262	63	spherical	spherical	JJ
14725	262	64	wave	wave	NN
14725	262	65	,	,	,
14725	262	66	according	accord	VBG
14725	262	67	to	to	IN
14725	262	68	what	what	WP
14725	262	69	has	have	VBZ
14725	262	70	been	be	VBN
14725	262	71	said	say	VBN
14725	262	72	above	above	RB
14725	262	73	.	.	.
14725	263	1	Which	which	WDT
14725	263	2	wave	wave	NN
14725	263	3	is	be	VBZ
14725	263	4	here	here	RB
14725	263	5	represented	represent	VBN
14725	263	6	by	by	IN
14725	263	7	the	the	DT
14725	263	8	circumference	circumference	NN
14725	263	9	SNR	SNR	NNP
14725	263	10	,	,	,
14725	263	11	the	the	DT
14725	263	12	centre	centre	NN
14725	263	13	of	of	IN
14725	263	14	which	which	WDT
14725	263	15	is	be	VBZ
14725	263	16	A	a	NN
14725	263	17	,	,	,
14725	263	18	and	and	CC
14725	263	19	its	-PRON-	PRP$
14725	263	20	semi	semi	JJ
14725	263	21	-	-	JJ
14725	263	22	diameter	diameter	JJ
14725	263	23	AN	an	DT
14725	263	24	equal	equal	JJ
14725	263	25	to	to	IN
14725	263	26	CB	CB	NNP
14725	263	27	.	.	.
14725	264	1	If	if	IN
14725	264	2	one	one	PRP
14725	264	3	considers	consider	VBZ
14725	264	4	further	further	RB
14725	264	5	the	the	DT
14725	264	6	other	other	JJ
14725	264	7	pieces	piece	NNS
14725	264	8	H	h	NN
14725	264	9	of	of	IN
14725	264	10	the	the	DT
14725	264	11	wave	wave	NN
14725	264	12	AC	AC	NNP
14725	264	13	,	,	,
14725	264	14	it	-PRON-	PRP
14725	264	15	appears	appear	VBZ
14725	264	16	that	that	IN
14725	264	17	they	-PRON-	PRP
14725	264	18	will	will	MD
14725	264	19	not	not	RB
14725	264	20	only	only	RB
14725	264	21	have	have	VB
14725	264	22	reached	reach	VBN
14725	264	23	the	the	DT
14725	264	24	surface	surface	NN
14725	264	25	AB	ab	NN
14725	264	26	by	by	IN
14725	264	27	straight	straight	JJ
14725	264	28	lines	line	NNS
14725	264	29	HK	HK	NNP
14725	264	30	parallel	parallel	NN
14725	264	31	to	to	IN
14725	264	32	CB	CB	NNP
14725	264	33	,	,	,
14725	264	34	but	but	CC
14725	264	35	that	that	IN
14725	264	36	in	in	IN
14725	264	37	addition	addition	NN
14725	264	38	they	-PRON-	PRP
14725	264	39	will	will	MD
14725	264	40	have	have	VB
14725	264	41	generated	generate	VBN
14725	264	42	in	in	IN
14725	264	43	the	the	DT
14725	264	44	transparent	transparent	JJ
14725	264	45	air	air	NN
14725	264	46	,	,	,
14725	264	47	from	from	IN
14725	264	48	the	the	DT
14725	264	49	centres	centre	NNS
14725	264	50	K	K	NNP
14725	264	51	,	,	,
14725	264	52	K	K	NNP
14725	264	53	,	,	,
14725	264	54	K	K	NNP
14725	264	55	,	,	,
14725	264	56	particular	particular	JJ
14725	264	57	spherical	spherical	JJ
14725	264	58	waves	wave	NNS
14725	264	59	,	,	,
14725	264	60	represented	represent	VBN
14725	264	61	here	here	RB
14725	264	62	by	by	IN
14725	264	63	circumferences	circumference	NNS
14725	264	64	the	the	DT
14725	264	65	semi	semi	JJ
14725	264	66	-	-	NNS
14725	264	67	diameters	diameter	NNS
14725	264	68	of	of	IN
14725	264	69	which	which	WDT
14725	264	70	are	be	VBP
14725	264	71	equal	equal	JJ
14725	264	72	to	to	IN
14725	264	73	KM	KM	NNP
14725	264	74	,	,	,
14725	264	75	that	that	DT
14725	264	76	is	be	VBZ
14725	264	77	to	to	TO
14725	264	78	say	say	VB
14725	264	79	to	to	IN
14725	264	80	the	the	DT
14725	264	81	continuations	continuation	NNS
14725	264	82	of	of	IN
14725	264	83	HK	HK	NNP
14725	264	84	as	as	RB
14725	264	85	far	far	RB
14725	264	86	as	as	IN
14725	264	87	the	the	DT
14725	264	88	line	line	NN
14725	264	89	BG	BG	NNP
14725	264	90	parallel	parallel	NN
14725	264	91	to	to	IN
14725	264	92	AC	AC	NNP
14725	264	93	.	.	.
14725	265	1	But	but	CC
14725	265	2	all	all	PDT
14725	265	3	these	these	DT
14725	265	4	circumferences	circumference	NNS
14725	265	5	have	have	VBP
14725	265	6	as	as	IN
14725	265	7	a	a	DT
14725	265	8	common	common	JJ
14725	265	9	tangent	tangent	NN
14725	265	10	the	the	DT
14725	265	11	straight	straight	JJ
14725	265	12	line	line	NN
14725	265	13	BN	BN	NNP
14725	265	14	,	,	,
14725	265	15	namely	namely	RB
14725	265	16	the	the	DT
14725	265	17	same	same	JJ
14725	265	18	which	which	WDT
14725	265	19	is	be	VBZ
14725	265	20	drawn	draw	VBN
14725	265	21	from	from	IN
14725	265	22	B	B	NNP
14725	265	23	as	as	IN
14725	265	24	a	a	DT
14725	265	25	tangent	tangent	NN
14725	265	26	to	to	IN
14725	265	27	the	the	DT
14725	265	28	first	first	JJ
14725	265	29	of	of	IN
14725	265	30	the	the	DT
14725	265	31	circles	circle	NNS
14725	265	32	,	,	,
14725	265	33	of	of	IN
14725	265	34	which	which	WDT
14725	265	35	A	A	NNP
14725	265	36	is	be	VBZ
14725	265	37	the	the	DT
14725	265	38	centre	centre	NN
14725	265	39	,	,	,
14725	265	40	and	and	CC
14725	265	41	AN	an	DT
14725	265	42	the	the	DT
14725	265	43	semi	semi	JJ
14725	265	44	-	-	JJ
14725	265	45	diameter	diameter	NN
14725	265	46	equal	equal	JJ
14725	265	47	to	to	IN
14725	265	48	BC	BC	NNP
14725	265	49	,	,	,
14725	265	50	as	as	IN
14725	265	51	is	be	VBZ
14725	265	52	easy	easy	JJ
14725	265	53	to	to	TO
14725	265	54	see	see	VB
14725	265	55	.	.	.
14725	266	1	It	-PRON-	PRP
14725	266	2	is	be	VBZ
14725	266	3	then	then	RB
14725	266	4	the	the	DT
14725	266	5	line	line	NN
14725	266	6	BN	BN	NNP
14725	266	7	(	(	-LRB-
14725	266	8	comprised	comprise	VBN
14725	266	9	between	between	IN
14725	266	10	B	b	NN
14725	266	11	and	and	CC
14725	266	12	the	the	DT
14725	266	13	point	point	NN
14725	266	14	N	n	CD
14725	266	15	where	where	WRB
14725	266	16	the	the	DT
14725	266	17	perpendicular	perpendicular	JJ
14725	266	18	from	from	IN
14725	266	19	the	the	DT
14725	266	20	point	point	NN
14725	266	21	A	a	DT
14725	266	22	falls	fall	NNS
14725	266	23	)	)	-RRB-
14725	266	24	which	which	WDT
14725	266	25	is	be	VBZ
14725	266	26	as	as	IN
14725	266	27	it	-PRON-	PRP
14725	266	28	were	be	VBD
14725	266	29	formed	form	VBN
14725	266	30	by	by	IN
14725	266	31	all	all	PDT
14725	266	32	these	these	DT
14725	266	33	circumferences	circumference	NNS
14725	266	34	,	,	,
14725	266	35	and	and	CC
14725	266	36	which	which	WDT
14725	266	37	terminates	terminate	VBZ
14725	266	38	the	the	DT
14725	266	39	movement	movement	NN
14725	266	40	which	which	WDT
14725	266	41	is	be	VBZ
14725	266	42	made	make	VBN
14725	266	43	by	by	IN
14725	266	44	the	the	DT
14725	266	45	reflexion	reflexion	NN
14725	266	46	of	of	IN
14725	266	47	the	the	DT
14725	266	48	wave	wave	NN
14725	266	49	AC	AC	NNP
14725	266	50	;	;	:
14725	266	51	and	and	CC
14725	266	52	it	-PRON-	PRP
14725	266	53	is	be	VBZ
14725	266	54	also	also	RB
14725	266	55	the	the	DT
14725	266	56	place	place	NN
14725	266	57	where	where	WRB
14725	266	58	the	the	DT
14725	266	59	movement	movement	NN
14725	266	60	occurs	occur	VBZ
14725	266	61	in	in	RB
14725	266	62	much	much	RB
14725	266	63	greater	great	JJR
14725	266	64	quantity	quantity	NN
14725	266	65	than	than	IN
14725	266	66	anywhere	anywhere	RB
14725	266	67	else	else	RB
14725	266	68	.	.	.
14725	267	1	Wherefore	wherefore	NN
14725	267	2	,	,	,
14725	267	3	according	accord	VBG
14725	267	4	to	to	IN
14725	267	5	that	that	DT
14725	267	6	which	which	WDT
14725	267	7	has	have	VBZ
14725	267	8	been	be	VBN
14725	267	9	explained	explain	VBN
14725	267	10	,	,	,
14725	267	11	BN	BN	NNP
14725	267	12	is	be	VBZ
14725	267	13	the	the	DT
14725	267	14	propagation	propagation	NN
14725	267	15	of	of	IN
14725	267	16	the	the	DT
14725	267	17	wave	wave	NN
14725	267	18	AC	AC	NNP
14725	267	19	at	at	IN
14725	267	20	the	the	DT
14725	267	21	moment	moment	NN
14725	267	22	when	when	WRB
14725	267	23	the	the	DT
14725	267	24	piece	piece	NN
14725	267	25	C	c	NN
14725	267	26	of	of	IN
14725	267	27	it	-PRON-	PRP
14725	267	28	has	have	VBZ
14725	267	29	arrived	arrive	VBN
14725	267	30	at	at	IN
14725	267	31	B.	B.	NNP
14725	268	1	For	for	IN
14725	268	2	there	there	EX
14725	268	3	is	be	VBZ
14725	268	4	no	no	DT
14725	268	5	other	other	JJ
14725	268	6	line	line	NN
14725	268	7	which	which	WDT
14725	268	8	like	like	IN
14725	268	9	BN	BN	NNP
14725	268	10	is	be	VBZ
14725	268	11	a	a	DT
14725	268	12	common	common	JJ
14725	268	13	tangent	tangent	NN
14725	268	14	to	to	IN
14725	268	15	all	all	PDT
14725	268	16	the	the	DT
14725	268	17	aforesaid	aforesaid	JJ
14725	268	18	circles	circle	NNS
14725	268	19	,	,	,
14725	268	20	except	except	IN
14725	268	21	BG	BG	NNP
14725	268	22	below	below	IN
14725	268	23	the	the	DT
14725	268	24	plane	plane	NN
14725	268	25	AB	ab	NN
14725	268	26	;	;	:
14725	268	27	which	which	WDT
14725	268	28	line	line	NN
14725	268	29	BG	BG	NNP
14725	268	30	would	would	MD
14725	268	31	be	be	VB
14725	268	32	the	the	DT
14725	268	33	propagation	propagation	NN
14725	268	34	of	of	IN
14725	268	35	the	the	DT
14725	268	36	wave	wave	NN
14725	268	37	if	if	IN
14725	268	38	the	the	DT
14725	268	39	movement	movement	NN
14725	268	40	could	could	MD
14725	268	41	have	have	VB
14725	268	42	spread	spread	VBN
14725	268	43	in	in	IN
14725	268	44	a	a	DT
14725	268	45	medium	medium	JJ
14725	268	46	homogeneous	homogeneous	JJ
14725	268	47	with	with	IN
14725	268	48	that	that	DT
14725	268	49	which	which	WDT
14725	268	50	is	be	VBZ
14725	268	51	above	above	IN
14725	268	52	the	the	DT
14725	268	53	plane	plane	NN
14725	268	54	.	.	.
14725	269	1	And	and	CC
14725	269	2	if	if	IN
14725	269	3	one	one	CD
14725	269	4	wishes	wish	VBZ
14725	269	5	to	to	TO
14725	269	6	see	see	VB
14725	269	7	how	how	WRB
14725	269	8	the	the	DT
14725	269	9	wave	wave	NN
14725	269	10	AC	AC	NNP
14725	269	11	has	have	VBZ
14725	269	12	come	come	VBN
14725	269	13	successively	successively	RB
14725	269	14	to	to	IN
14725	269	15	BN	BN	NNP
14725	269	16	,	,	,
14725	269	17	one	one	NN
14725	269	18	has	have	VBZ
14725	269	19	only	only	RB
14725	269	20	to	to	TO
14725	269	21	draw	draw	VB
14725	269	22	in	in	IN
14725	269	23	the	the	DT
14725	269	24	same	same	JJ
14725	269	25	figure	figure	NN
14725	269	26	the	the	DT
14725	269	27	straight	straight	JJ
14725	269	28	lines	line	NNS
14725	269	29	KO	KO	NNP
14725	269	30	parallel	parallel	NN
14725	269	31	to	to	IN
14725	269	32	BN	BN	NNP
14725	269	33	,	,	,
14725	269	34	and	and	CC
14725	269	35	the	the	DT
14725	269	36	straight	straight	JJ
14725	269	37	lines	line	NNS
14725	269	38	KL	KL	NNP
14725	269	39	parallel	parallel	NN
14725	269	40	to	to	IN
14725	269	41	AC	AC	NNP
14725	269	42	.	.	.
14725	270	1	Thus	thus	RB
14725	270	2	one	one	PRP
14725	270	3	will	will	MD
14725	270	4	see	see	VB
14725	270	5	that	that	IN
14725	270	6	the	the	DT
14725	270	7	straight	straight	JJ
14725	270	8	wave	wave	NN
14725	270	9	AC	AC	NNP
14725	270	10	has	have	VBZ
14725	270	11	become	become	VBN
14725	270	12	broken	break	VBN
14725	270	13	up	up	RP
14725	270	14	into	into	IN
14725	270	15	all	all	PDT
14725	270	16	the	the	DT
14725	270	17	OKL	OKL	NNP
14725	270	18	parts	part	NNS
14725	270	19	successively	successively	RB
14725	270	20	,	,	,
14725	270	21	and	and	CC
14725	270	22	that	that	IN
14725	270	23	it	-PRON-	PRP
14725	270	24	has	have	VBZ
14725	270	25	become	become	VBN
14725	270	26	straight	straight	JJ
14725	270	27	again	again	RB
14725	270	28	at	at	IN
14725	270	29	NB	NB	NNP
14725	270	30	.	.	.
14725	271	1	Now	now	RB
14725	271	2	it	-PRON-	PRP
14725	271	3	is	be	VBZ
14725	271	4	apparent	apparent	JJ
14725	271	5	here	here	RB
14725	271	6	that	that	IN
14725	271	7	the	the	DT
14725	271	8	angle	angle	NN
14725	271	9	of	of	IN
14725	271	10	reflexion	reflexion	NN
14725	271	11	is	be	VBZ
14725	271	12	made	make	VBN
14725	271	13	equal	equal	JJ
14725	271	14	to	to	IN
14725	271	15	the	the	DT
14725	271	16	angle	angle	NN
14725	271	17	of	of	IN
14725	271	18	incidence	incidence	NN
14725	271	19	.	.	.
14725	272	1	For	for	IN
14725	272	2	the	the	DT
14725	272	3	triangles	triangle	NNS
14725	272	4	ACB	ACB	NNP
14725	272	5	,	,	,
14725	272	6	BNA	BNA	NNP
14725	272	7	being	be	VBG
14725	272	8	rectangular	rectangular	JJ
14725	272	9	and	and	CC
14725	272	10	having	have	VBG
14725	272	11	the	the	DT
14725	272	12	side	side	NN
14725	272	13	AB	AB	NNP
14725	272	14	common	common	JJ
14725	272	15	,	,	,
14725	272	16	and	and	CC
14725	272	17	the	the	DT
14725	272	18	side	side	NN
14725	272	19	CB	CB	NNP
14725	272	20	equal	equal	JJ
14725	272	21	to	to	IN
14725	272	22	NA	NA	NNP
14725	272	23	,	,	,
14725	272	24	it	-PRON-	PRP
14725	272	25	follows	follow	VBZ
14725	272	26	that	that	IN
14725	272	27	the	the	DT
14725	272	28	angles	angle	NNS
14725	272	29	opposite	opposite	JJ
14725	272	30	to	to	IN
14725	272	31	these	these	DT
14725	272	32	sides	side	NNS
14725	272	33	will	will	MD
14725	272	34	be	be	VB
14725	272	35	equal	equal	JJ
14725	272	36	,	,	,
14725	272	37	and	and	CC
14725	272	38	therefore	therefore	RB
14725	272	39	also	also	RB
14725	272	40	the	the	DT
14725	272	41	angles	angle	NNS
14725	272	42	CBA	CBA	NNP
14725	272	43	,	,	,
14725	272	44	NAB	NAB	NNP
14725	272	45	.	.	.
14725	273	1	But	but	CC
14725	273	2	as	as	IN
14725	273	3	CB	CB	NNP
14725	273	4	,	,	,
14725	273	5	perpendicular	perpendicular	JJ
14725	273	6	to	to	IN
14725	273	7	CA	CA	NNP
14725	273	8	,	,	,
14725	273	9	marks	mark	VBZ
14725	273	10	the	the	DT
14725	273	11	direction	direction	NN
14725	273	12	of	of	IN
14725	273	13	the	the	DT
14725	273	14	incident	incident	NN
14725	273	15	ray	ray	NN
14725	273	16	,	,	,
14725	273	17	so	so	CC
14725	273	18	AN	AN	NNP
14725	273	19	,	,	,
14725	273	20	perpendicular	perpendicular	JJ
14725	273	21	to	to	IN
14725	273	22	the	the	DT
14725	273	23	wave	wave	NN
14725	273	24	BN	BN	NNP
14725	273	25	,	,	,
14725	273	26	marks	mark	VBZ
14725	273	27	the	the	DT
14725	273	28	direction	direction	NN
14725	273	29	of	of	IN
14725	273	30	the	the	DT
14725	273	31	reflected	reflected	JJ
14725	273	32	ray	ray	NN
14725	273	33	;	;	:
14725	273	34	hence	hence	RB
14725	273	35	these	these	DT
14725	273	36	rays	ray	NNS
14725	273	37	are	be	VBP
14725	273	38	equally	equally	RB
14725	273	39	inclined	inclined	JJ
14725	273	40	to	to	IN
14725	273	41	the	the	DT
14725	273	42	plane	plane	NN
14725	273	43	AB	ab	NN
14725	273	44	.	.	.
14725	274	1	But	but	CC
14725	274	2	in	in	IN
14725	274	3	considering	consider	VBG
14725	274	4	the	the	DT
14725	274	5	preceding	precede	VBG
14725	274	6	demonstration	demonstration	NN
14725	274	7	,	,	,
14725	274	8	one	one	PRP
14725	274	9	might	may	MD
14725	274	10	aver	aver	VB
14725	274	11	that	that	IN
14725	274	12	it	-PRON-	PRP
14725	274	13	is	be	VBZ
14725	274	14	indeed	indeed	RB
14725	274	15	true	true	JJ
14725	274	16	that	that	IN
14725	274	17	BN	BN	NNP
14725	274	18	is	be	VBZ
14725	274	19	the	the	DT
14725	274	20	common	common	JJ
14725	274	21	tangent	tangent	NN
14725	274	22	of	of	IN
14725	274	23	the	the	DT
14725	274	24	circular	circular	JJ
14725	274	25	waves	wave	NNS
14725	274	26	in	in	IN
14725	274	27	the	the	DT
14725	274	28	plane	plane	NN
14725	274	29	of	of	IN
14725	274	30	this	this	DT
14725	274	31	figure	figure	NN
14725	274	32	,	,	,
14725	274	33	but	but	CC
14725	274	34	that	that	IN
14725	274	35	these	these	DT
14725	274	36	waves	wave	NNS
14725	274	37	,	,	,
14725	274	38	being	be	VBG
14725	274	39	in	in	IN
14725	274	40	truth	truth	NN
14725	274	41	spherical	spherical	JJ
14725	274	42	,	,	,
14725	274	43	have	have	VBP
14725	274	44	still	still	RB
14725	274	45	an	an	DT
14725	274	46	infinitude	infinitude	NN
14725	274	47	of	of	IN
14725	274	48	similar	similar	JJ
14725	274	49	tangents	tangent	NNS
14725	274	50	,	,	,
14725	274	51	namely	namely	RB
14725	274	52	all	all	PDT
14725	274	53	the	the	DT
14725	274	54	straight	straight	JJ
14725	274	55	lines	line	NNS
14725	274	56	which	which	WDT
14725	274	57	are	be	VBP
14725	274	58	drawn	draw	VBN
14725	274	59	from	from	IN
14725	274	60	the	the	DT
14725	274	61	point	point	NN
14725	274	62	B	b	NN
14725	274	63	in	in	IN
14725	274	64	the	the	DT
14725	274	65	surface	surface	NN
14725	274	66	generated	generate	VBN
14725	274	67	by	by	IN
14725	274	68	the	the	DT
14725	274	69	straight	straight	JJ
14725	274	70	line	line	NN
14725	274	71	BN	BN	NNP
14725	274	72	about	about	IN
14725	274	73	the	the	DT
14725	274	74	axis	axis	JJ
14725	274	75	BA	BA	NNP
14725	274	76	.	.	.
14725	275	1	It	-PRON-	PRP
14725	275	2	remains	remain	VBZ
14725	275	3	,	,	,
14725	275	4	therefore	therefore	RB
14725	275	5	,	,	,
14725	275	6	to	to	TO
14725	275	7	demonstrate	demonstrate	VB
14725	275	8	that	that	IN
14725	275	9	there	there	EX
14725	275	10	is	be	VBZ
14725	275	11	no	no	DT
14725	275	12	difficulty	difficulty	NN
14725	275	13	herein	herein	NNP
14725	275	14	:	:	:
14725	275	15	and	and	CC
14725	275	16	by	by	IN
14725	275	17	the	the	DT
14725	275	18	same	same	JJ
14725	275	19	argument	argument	NN
14725	275	20	one	one	CD
14725	275	21	will	will	MD
14725	275	22	see	see	VB
14725	275	23	why	why	WRB
14725	275	24	the	the	DT
14725	275	25	incident	incident	NN
14725	275	26	ray	ray	NN
14725	275	27	and	and	CC
14725	275	28	the	the	DT
14725	275	29	reflected	reflected	JJ
14725	275	30	ray	ray	NN
14725	275	31	are	be	VBP
14725	275	32	always	always	RB
14725	275	33	in	in	IN
14725	275	34	one	one	CD
14725	275	35	and	and	CC
14725	275	36	the	the	DT
14725	275	37	same	same	JJ
14725	275	38	plane	plane	NN
14725	275	39	perpendicular	perpendicular	JJ
14725	275	40	to	to	IN
14725	275	41	the	the	DT
14725	275	42	reflecting	reflect	VBG
14725	275	43	plane	plane	NN
14725	275	44	.	.	.
14725	276	1	I	-PRON-	PRP
14725	276	2	say	say	VBP
14725	276	3	then	then	RB
14725	276	4	that	that	IN
14725	276	5	the	the	DT
14725	276	6	wave	wave	NN
14725	276	7	AC	AC	NNP
14725	276	8	,	,	,
14725	276	9	being	be	VBG
14725	276	10	regarded	regard	VBN
14725	276	11	only	only	RB
14725	276	12	as	as	IN
14725	276	13	a	a	DT
14725	276	14	line	line	NN
14725	276	15	,	,	,
14725	276	16	produces	produce	VBZ
14725	276	17	no	no	DT
14725	276	18	light	light	NN
14725	276	19	.	.	.
14725	277	1	For	for	IN
14725	277	2	a	a	DT
14725	277	3	visible	visible	JJ
14725	277	4	ray	ray	NN
14725	277	5	of	of	IN
14725	277	6	light	light	NN
14725	277	7	,	,	,
14725	277	8	however	however	RB
14725	277	9	narrow	narrow	JJ
14725	277	10	it	-PRON-	PRP
14725	277	11	may	may	MD
14725	277	12	be	be	VB
14725	277	13	,	,	,
14725	277	14	has	have	VBZ
14725	277	15	always	always	RB
14725	277	16	some	some	DT
14725	277	17	width	width	NN
14725	277	18	,	,	,
14725	277	19	and	and	CC
14725	277	20	consequently	consequently	RB
14725	277	21	it	-PRON-	PRP
14725	277	22	is	be	VBZ
14725	277	23	necessary	necessary	JJ
14725	277	24	,	,	,
14725	277	25	in	in	IN
14725	277	26	representing	represent	VBG
14725	277	27	the	the	DT
14725	277	28	wave	wave	NN
14725	277	29	whose	whose	WP$
14725	277	30	progression	progression	NN
14725	277	31	constitutes	constitute	VBZ
14725	277	32	the	the	DT
14725	277	33	ray	ray	NN
14725	277	34	,	,	,
14725	277	35	to	to	TO
14725	277	36	put	put	VB
14725	277	37	instead	instead	RB
14725	277	38	of	of	IN
14725	277	39	a	a	DT
14725	277	40	line	line	NN
14725	277	41	AC	AC	NNP
14725	277	42	some	some	DT
14725	277	43	plane	plane	NN
14725	277	44	figure	figure	NN
14725	277	45	such	such	JJ
14725	277	46	as	as	IN
14725	277	47	the	the	DT
14725	277	48	circle	circle	NN
14725	277	49	HC	HC	NNP
14725	277	50	in	in	IN
14725	277	51	the	the	DT
14725	277	52	following	follow	VBG
14725	277	53	figure	figure	NN
14725	277	54	,	,	,
14725	277	55	by	by	IN
14725	277	56	supposing	suppose	VBG
14725	277	57	,	,	,
14725	277	58	as	as	IN
14725	277	59	we	-PRON-	PRP
14725	277	60	have	have	VBP
14725	277	61	done	do	VBN
14725	277	62	,	,	,
14725	277	63	the	the	DT
14725	277	64	luminous	luminous	JJ
14725	277	65	point	point	NN
14725	277	66	to	to	TO
14725	277	67	be	be	VB
14725	277	68	infinitely	infinitely	RB
14725	277	69	distant	distant	JJ
14725	277	70	.	.	.
14725	278	1	Now	now	RB
14725	278	2	it	-PRON-	PRP
14725	278	3	is	be	VBZ
14725	278	4	easy	easy	JJ
14725	278	5	to	to	TO
14725	278	6	see	see	VB
14725	278	7	,	,	,
14725	278	8	following	follow	VBG
14725	278	9	the	the	DT
14725	278	10	preceding	precede	VBG
14725	278	11	demonstration	demonstration	NN
14725	278	12	,	,	,
14725	278	13	that	that	IN
14725	278	14	each	each	DT
14725	278	15	small	small	JJ
14725	278	16	piece	piece	NN
14725	278	17	of	of	IN
14725	278	18	this	this	DT
14725	278	19	wave	wave	NN
14725	278	20	HC	HC	NNP
14725	278	21	having	have	VBG
14725	278	22	arrived	arrive	VBN
14725	278	23	at	at	IN
14725	278	24	the	the	DT
14725	278	25	plane	plane	NN
14725	278	26	AB	AB	NNP
14725	278	27	,	,	,
14725	278	28	and	and	CC
14725	278	29	there	there	RB
14725	278	30	generating	generate	VBG
14725	278	31	each	each	DT
14725	278	32	one	one	NN
14725	278	33	its	-PRON-	PRP$
14725	278	34	particular	particular	JJ
14725	278	35	wave	wave	NN
14725	278	36	,	,	,
14725	278	37	these	these	DT
14725	278	38	will	will	MD
14725	278	39	all	all	RB
14725	278	40	have	have	VB
14725	278	41	,	,	,
14725	278	42	when	when	WRB
14725	278	43	C	C	NNP
14725	278	44	arrives	arrive	VBZ
14725	278	45	at	at	IN
14725	278	46	B	b	NN
14725	278	47	,	,	,
14725	278	48	a	a	DT
14725	278	49	common	common	JJ
14725	278	50	plane	plane	NN
14725	278	51	which	which	WDT
14725	278	52	will	will	MD
14725	278	53	touch	touch	VB
14725	278	54	them	-PRON-	PRP
14725	278	55	,	,	,
14725	278	56	namely	namely	RB
14725	278	57	a	a	DT
14725	278	58	circle	circle	NN
14725	278	59	BN	bn	NN
14725	278	60	similar	similar	JJ
14725	278	61	to	to	IN
14725	278	62	CH	CH	NNP
14725	278	63	;	;	:
14725	278	64	and	and	CC
14725	278	65	this	this	DT
14725	278	66	will	will	MD
14725	278	67	be	be	VB
14725	278	68	intersected	intersect	VBN
14725	278	69	at	at	IN
14725	278	70	its	-PRON-	PRP$
14725	278	71	middle	middle	NN
14725	278	72	and	and	CC
14725	278	73	at	at	IN
14725	278	74	right	right	JJ
14725	278	75	angles	angle	NNS
14725	278	76	by	by	IN
14725	278	77	the	the	DT
14725	278	78	same	same	JJ
14725	278	79	plane	plane	NN
14725	278	80	which	which	WDT
14725	278	81	likewise	likewise	RB
14725	278	82	intersects	intersect	VBZ
14725	278	83	the	the	DT
14725	278	84	circle	circle	NN
14725	278	85	CH	CH	NNP
14725	278	86	and	and	CC
14725	278	87	the	the	DT
14725	278	88	ellipse	ellipse	NN
14725	278	89	AB	AB	NNP
14725	278	90	.	.	.
14725	279	1	[	[	-LRB-
14725	279	2	Illustration	illustration	NN
14725	279	3	]	]	-RRB-
14725	279	4	One	one	NN
14725	279	5	sees	see	VBZ
14725	279	6	also	also	RB
14725	279	7	that	that	IN
14725	279	8	the	the	DT
14725	279	9	said	say	VBN
14725	279	10	spheres	sphere	NNS
14725	279	11	of	of	IN
14725	279	12	the	the	DT
14725	279	13	partial	partial	JJ
14725	279	14	waves	wave	NNS
14725	279	15	can	can	MD
14725	279	16	not	not	RB
14725	279	17	have	have	VB
14725	279	18	any	any	DT
14725	279	19	common	common	JJ
14725	279	20	tangent	tangent	NN
14725	279	21	plane	plane	NN
14725	279	22	other	other	JJ
14725	279	23	than	than	IN
14725	279	24	the	the	DT
14725	279	25	circle	circle	NN
14725	279	26	BN	bn	NN
14725	279	27	;	;	:
14725	279	28	so	so	IN
14725	279	29	that	that	IN
14725	279	30	it	-PRON-	PRP
14725	279	31	will	will	MD
14725	279	32	be	be	VB
14725	279	33	this	this	DT
14725	279	34	plane	plane	NN
14725	279	35	where	where	WRB
14725	279	36	there	there	EX
14725	279	37	will	will	MD
14725	279	38	be	be	VB
14725	279	39	more	more	RBR
14725	279	40	reflected	reflect	VBN
14725	279	41	movement	movement	NN
14725	279	42	than	than	IN
14725	279	43	anywhere	anywhere	RB
14725	279	44	else	else	RB
14725	279	45	,	,	,
14725	279	46	and	and	CC
14725	279	47	which	which	WDT
14725	279	48	will	will	MD
14725	279	49	therefore	therefore	RB
14725	279	50	carry	carry	VB
14725	279	51	on	on	RP
14725	279	52	the	the	DT
14725	279	53	light	light	NN
14725	279	54	in	in	IN
14725	279	55	continuance	continuance	NN
14725	279	56	from	from	IN
14725	279	57	the	the	DT
14725	279	58	wave	wave	NN
14725	279	59	CH	CH	NNP
14725	279	60	.	.	.
14725	280	1	I	-PRON-	PRP
14725	280	2	have	have	VBP
14725	280	3	also	also	RB
14725	280	4	stated	state	VBN
14725	280	5	in	in	IN
14725	280	6	the	the	DT
14725	280	7	preceding	precede	VBG
14725	280	8	demonstration	demonstration	NN
14725	280	9	that	that	IN
14725	280	10	the	the	DT
14725	280	11	movement	movement	NN
14725	280	12	of	of	IN
14725	280	13	the	the	DT
14725	280	14	piece	piece	NN
14725	280	15	A	a	NN
14725	280	16	of	of	IN
14725	280	17	the	the	DT
14725	280	18	incident	incident	NN
14725	280	19	wave	wave	NN
14725	280	20	is	be	VBZ
14725	280	21	not	not	RB
14725	280	22	able	able	JJ
14725	280	23	to	to	TO
14725	280	24	communicate	communicate	VB
14725	280	25	itself	-PRON-	PRP
14725	280	26	beyond	beyond	IN
14725	280	27	the	the	DT
14725	280	28	plane	plane	NN
14725	280	29	AB	ab	NN
14725	280	30	,	,	,
14725	280	31	or	or	CC
14725	280	32	at	at	IN
14725	280	33	least	least	JJS
14725	280	34	not	not	RB
14725	280	35	wholly	wholly	RB
14725	280	36	.	.	.
14725	281	1	Whence	whence	NN
14725	281	2	it	-PRON-	PRP
14725	281	3	is	be	VBZ
14725	281	4	to	to	TO
14725	281	5	be	be	VB
14725	281	6	remarked	remark	VBN
14725	281	7	that	that	IN
14725	281	8	though	though	IN
14725	281	9	the	the	DT
14725	281	10	movement	movement	NN
14725	281	11	of	of	IN
14725	281	12	the	the	DT
14725	281	13	ethereal	ethereal	JJ
14725	281	14	matter	matter	NN
14725	281	15	might	may	MD
14725	281	16	communicate	communicate	VB
14725	281	17	itself	-PRON-	PRP
14725	281	18	partly	partly	RB
14725	281	19	to	to	IN
14725	281	20	that	that	DT
14725	281	21	of	of	IN
14725	281	22	the	the	DT
14725	281	23	reflecting	reflect	VBG
14725	281	24	body	body	NN
14725	281	25	,	,	,
14725	281	26	this	this	DT
14725	281	27	could	could	MD
14725	281	28	in	in	IN
14725	281	29	nothing	nothing	NN
14725	281	30	alter	alter	VB
14725	281	31	the	the	DT
14725	281	32	velocity	velocity	NN
14725	281	33	of	of	IN
14725	281	34	progression	progression	NN
14725	281	35	of	of	IN
14725	281	36	the	the	DT
14725	281	37	waves	wave	NNS
14725	281	38	,	,	,
14725	281	39	on	on	IN
14725	281	40	which	which	WDT
14725	281	41	the	the	DT
14725	281	42	angle	angle	NN
14725	281	43	of	of	IN
14725	281	44	reflexion	reflexion	NN
14725	281	45	depends	depend	VBZ
14725	281	46	.	.	.
14725	282	1	For	for	IN
14725	282	2	a	a	DT
14725	282	3	slight	slight	JJ
14725	282	4	percussion	percussion	NN
14725	282	5	ought	ought	MD
14725	282	6	to	to	TO
14725	282	7	generate	generate	VB
14725	282	8	waves	wave	NNS
14725	282	9	as	as	RB
14725	282	10	rapid	rapid	JJ
14725	282	11	as	as	IN
14725	282	12	strong	strong	JJ
14725	282	13	percussion	percussion	NN
14725	282	14	in	in	IN
14725	282	15	the	the	DT
14725	282	16	same	same	JJ
14725	282	17	matter	matter	NN
14725	282	18	.	.	.
14725	283	1	This	this	DT
14725	283	2	comes	come	VBZ
14725	283	3	about	about	RP
14725	283	4	from	from	IN
14725	283	5	the	the	DT
14725	283	6	property	property	NN
14725	283	7	of	of	IN
14725	283	8	bodies	body	NNS
14725	283	9	which	which	WDT
14725	283	10	act	act	VBP
14725	283	11	as	as	IN
14725	283	12	springs	spring	NNS
14725	283	13	,	,	,
14725	283	14	of	of	IN
14725	283	15	which	which	WDT
14725	283	16	we	-PRON-	PRP
14725	283	17	have	have	VBP
14725	283	18	spoken	speak	VBN
14725	283	19	above	above	RB
14725	283	20	;	;	:
14725	283	21	namely	namely	RB
14725	283	22	that	that	IN
14725	283	23	whether	whether	IN
14725	283	24	compressed	compress	VBN
14725	283	25	little	little	JJ
14725	283	26	or	or	CC
14725	283	27	much	much	RB
14725	283	28	they	-PRON-	PRP
14725	283	29	recoil	recoil	VBP
14725	283	30	in	in	IN
14725	283	31	equal	equal	JJ
14725	283	32	times	time	NNS
14725	283	33	.	.	.
14725	284	1	Equally	equally	RB
14725	284	2	so	so	RB
14725	284	3	in	in	IN
14725	284	4	every	every	DT
14725	284	5	reflexion	reflexion	NN
14725	284	6	of	of	IN
14725	284	7	the	the	DT
14725	284	8	light	light	NN
14725	284	9	,	,	,
14725	284	10	against	against	IN
14725	284	11	whatever	whatever	WDT
14725	284	12	body	body	NN
14725	284	13	it	-PRON-	PRP
14725	284	14	may	may	MD
14725	284	15	be	be	VB
14725	284	16	,	,	,
14725	284	17	the	the	DT
14725	284	18	angles	angle	NNS
14725	284	19	of	of	IN
14725	284	20	reflexion	reflexion	NN
14725	284	21	and	and	CC
14725	284	22	incidence	incidence	NN
14725	284	23	ought	ought	MD
14725	284	24	to	to	TO
14725	284	25	be	be	VB
14725	284	26	equal	equal	JJ
14725	284	27	notwithstanding	notwithstanding	IN
14725	284	28	that	that	IN
14725	284	29	the	the	DT
14725	284	30	body	body	NN
14725	284	31	might	may	MD
14725	284	32	be	be	VB
14725	284	33	of	of	IN
14725	284	34	such	such	PDT
14725	284	35	a	a	DT
14725	284	36	nature	nature	NN
14725	284	37	that	that	WDT
14725	284	38	it	-PRON-	PRP
14725	284	39	takes	take	VBZ
14725	284	40	away	away	RB
14725	284	41	a	a	DT
14725	284	42	portion	portion	NN
14725	284	43	of	of	IN
14725	284	44	the	the	DT
14725	284	45	movement	movement	NN
14725	284	46	made	make	VBN
14725	284	47	by	by	IN
14725	284	48	the	the	DT
14725	284	49	incident	incident	NN
14725	284	50	light	light	NN
14725	284	51	.	.	.
14725	285	1	And	and	CC
14725	285	2	experiment	experiment	NN
14725	285	3	shows	show	VBZ
14725	285	4	that	that	IN
14725	285	5	in	in	IN
14725	285	6	fact	fact	NN
14725	285	7	there	there	EX
14725	285	8	is	be	VBZ
14725	285	9	no	no	DT
14725	285	10	polished	polished	JJ
14725	285	11	body	body	NN
14725	285	12	the	the	DT
14725	285	13	reflexion	reflexion	NN
14725	285	14	of	of	IN
14725	285	15	which	which	WDT
14725	285	16	does	do	VBZ
14725	285	17	not	not	RB
14725	285	18	follow	follow	VB
14725	285	19	this	this	DT
14725	285	20	rule	rule	NN
14725	285	21	.	.	.
14725	286	1	But	but	CC
14725	286	2	the	the	DT
14725	286	3	thing	thing	NN
14725	286	4	to	to	TO
14725	286	5	be	be	VB
14725	286	6	above	above	RB
14725	286	7	all	all	DT
14725	286	8	remarked	remark	VBN
14725	286	9	in	in	IN
14725	286	10	our	-PRON-	PRP$
14725	286	11	demonstration	demonstration	NN
14725	286	12	is	be	VBZ
14725	286	13	that	that	IN
14725	286	14	it	-PRON-	PRP
14725	286	15	does	do	VBZ
14725	286	16	not	not	RB
14725	286	17	require	require	VB
14725	286	18	that	that	IN
14725	286	19	the	the	DT
14725	286	20	reflecting	reflect	VBG
14725	286	21	surface	surface	NN
14725	286	22	should	should	MD
14725	286	23	be	be	VB
14725	286	24	considered	consider	VBN
14725	286	25	as	as	IN
14725	286	26	a	a	DT
14725	286	27	uniform	uniform	JJ
14725	286	28	plane	plane	NN
14725	286	29	,	,	,
14725	286	30	as	as	IN
14725	286	31	has	have	VBZ
14725	286	32	been	be	VBN
14725	286	33	supposed	suppose	VBN
14725	286	34	by	by	IN
14725	286	35	all	all	PDT
14725	286	36	those	those	DT
14725	286	37	who	who	WP
14725	286	38	have	have	VBP
14725	286	39	tried	try	VBN
14725	286	40	to	to	TO
14725	286	41	explain	explain	VB
14725	286	42	the	the	DT
14725	286	43	effects	effect	NNS
14725	286	44	of	of	IN
14725	286	45	reflexion	reflexion	NN
14725	286	46	;	;	:
14725	286	47	but	but	CC
14725	286	48	only	only	RB
14725	286	49	an	an	DT
14725	286	50	evenness	evenness	NN
14725	286	51	such	such	JJ
14725	286	52	as	as	IN
14725	286	53	may	may	MD
14725	286	54	be	be	VB
14725	286	55	attained	attain	VBN
14725	286	56	by	by	IN
14725	286	57	the	the	DT
14725	286	58	particles	particle	NNS
14725	286	59	of	of	IN
14725	286	60	the	the	DT
14725	286	61	matter	matter	NN
14725	286	62	of	of	IN
14725	286	63	the	the	DT
14725	286	64	reflecting	reflect	VBG
14725	286	65	body	body	NN
14725	286	66	being	be	VBG
14725	286	67	set	set	VBN
14725	286	68	near	near	RB
14725	286	69	to	to	IN
14725	286	70	one	one	CD
14725	286	71	another	another	DT
14725	286	72	;	;	:
14725	286	73	which	which	WDT
14725	286	74	particles	particle	NNS
14725	286	75	are	be	VBP
14725	286	76	larger	large	JJR
14725	286	77	than	than	IN
14725	286	78	those	those	DT
14725	286	79	of	of	IN
14725	286	80	the	the	DT
14725	286	81	ethereal	ethereal	JJ
14725	286	82	matter	matter	NN
14725	286	83	,	,	,
14725	286	84	as	as	IN
14725	286	85	will	will	MD
14725	286	86	appear	appear	VB
14725	286	87	by	by	IN
14725	286	88	what	what	WP
14725	286	89	we	-PRON-	PRP
14725	286	90	shall	shall	MD
14725	286	91	say	say	VB
14725	286	92	in	in	IN
14725	286	93	treating	treating	NN
14725	286	94	of	of	IN
14725	286	95	the	the	DT
14725	286	96	transparency	transparency	NN
14725	286	97	and	and	CC
14725	286	98	opacity	opacity	NN
14725	286	99	of	of	IN
14725	286	100	bodies	body	NNS
14725	286	101	.	.	.
14725	287	1	For	for	IN
14725	287	2	the	the	DT
14725	287	3	surface	surface	NN
14725	287	4	consisting	consist	VBG
14725	287	5	thus	thus	RB
14725	287	6	of	of	IN
14725	287	7	particles	particle	NNS
14725	287	8	put	put	VBN
14725	287	9	together	together	RB
14725	287	10	,	,	,
14725	287	11	and	and	CC
14725	287	12	the	the	DT
14725	287	13	ethereal	ethereal	JJ
14725	287	14	particles	particle	NNS
14725	287	15	being	be	VBG
14725	287	16	above	above	RB
14725	287	17	,	,	,
14725	287	18	and	and	CC
14725	287	19	smaller	small	JJR
14725	287	20	,	,	,
14725	287	21	it	-PRON-	PRP
14725	287	22	is	be	VBZ
14725	287	23	evident	evident	JJ
14725	287	24	that	that	IN
14725	287	25	one	one	PRP
14725	287	26	could	could	MD
14725	287	27	not	not	RB
14725	287	28	demonstrate	demonstrate	VB
14725	287	29	the	the	DT
14725	287	30	equality	equality	NN
14725	287	31	of	of	IN
14725	287	32	the	the	DT
14725	287	33	angles	angle	NNS
14725	287	34	of	of	IN
14725	287	35	incidence	incidence	NN
14725	287	36	and	and	CC
14725	287	37	reflexion	reflexion	NN
14725	287	38	by	by	IN
14725	287	39	similitude	similitude	NN
14725	287	40	to	to	IN
14725	287	41	that	that	DT
14725	287	42	which	which	WDT
14725	287	43	happens	happen	VBZ
14725	287	44	to	to	IN
14725	287	45	a	a	DT
14725	287	46	ball	ball	NN
14725	287	47	thrown	throw	VBN
14725	287	48	against	against	IN
14725	287	49	a	a	DT
14725	287	50	wall	wall	NN
14725	287	51	,	,	,
14725	287	52	of	of	IN
14725	287	53	which	which	WDT
14725	287	54	writers	writer	NNS
14725	287	55	have	have	VBP
14725	287	56	always	always	RB
14725	287	57	made	make	VBN
14725	287	58	use	use	NN
14725	287	59	.	.	.
14725	288	1	In	in	IN
14725	288	2	our	-PRON-	PRP$
14725	288	3	way	way	NN
14725	288	4	,	,	,
14725	288	5	on	on	IN
14725	288	6	the	the	DT
14725	288	7	other	other	JJ
14725	288	8	hand	hand	NN
14725	288	9	,	,	,
14725	288	10	the	the	DT
14725	288	11	thing	thing	NN
14725	288	12	is	be	VBZ
14725	288	13	explained	explain	VBN
14725	288	14	without	without	IN
14725	288	15	difficulty	difficulty	NN
14725	288	16	.	.	.
14725	289	1	For	for	IN
14725	289	2	the	the	DT
14725	289	3	smallness	smallness	NN
14725	289	4	of	of	IN
14725	289	5	the	the	DT
14725	289	6	particles	particle	NNS
14725	289	7	of	of	IN
14725	289	8	quicksilver	quicksilver	NNP
14725	289	9	,	,	,
14725	289	10	for	for	IN
14725	289	11	example	example	NN
14725	289	12	,	,	,
14725	289	13	being	be	VBG
14725	289	14	such	such	JJ
14725	289	15	that	that	IN
14725	289	16	one	one	PRP
14725	289	17	must	must	MD
14725	289	18	conceive	conceive	VB
14725	289	19	millions	million	NNS
14725	289	20	of	of	IN
14725	289	21	them	-PRON-	PRP
14725	289	22	,	,	,
14725	289	23	in	in	IN
14725	289	24	the	the	DT
14725	289	25	smallest	small	JJS
14725	289	26	visible	visible	JJ
14725	289	27	surface	surface	NN
14725	289	28	proposed	propose	VBN
14725	289	29	,	,	,
14725	289	30	arranged	arrange	VBD
14725	289	31	like	like	IN
14725	289	32	a	a	DT
14725	289	33	heap	heap	NN
14725	289	34	of	of	IN
14725	289	35	grains	grain	NNS
14725	289	36	of	of	IN
14725	289	37	sand	sand	NN
14725	289	38	which	which	WDT
14725	289	39	has	have	VBZ
14725	289	40	been	be	VBN
14725	289	41	flattened	flatten	VBN
14725	289	42	as	as	RB
14725	289	43	much	much	RB
14725	289	44	as	as	IN
14725	289	45	it	-PRON-	PRP
14725	289	46	is	be	VBZ
14725	289	47	capable	capable	JJ
14725	289	48	of	of	IN
14725	289	49	being	be	VBG
14725	289	50	,	,	,
14725	289	51	this	this	DT
14725	289	52	surface	surface	NN
14725	289	53	then	then	RB
14725	289	54	becomes	become	VBZ
14725	289	55	for	for	IN
14725	289	56	our	-PRON-	PRP$
14725	289	57	purpose	purpose	NN
14725	289	58	as	as	RB
14725	289	59	even	even	RB
14725	289	60	as	as	IN
14725	289	61	a	a	DT
14725	289	62	polished	polished	JJ
14725	289	63	glass	glass	NN
14725	289	64	is	be	VBZ
14725	289	65	:	:	:
14725	289	66	and	and	CC
14725	289	67	,	,	,
14725	289	68	although	although	IN
14725	289	69	it	-PRON-	PRP
14725	289	70	always	always	RB
14725	289	71	remains	remain	VBZ
14725	289	72	rough	rough	JJ
14725	289	73	with	with	IN
14725	289	74	respect	respect	NN
14725	289	75	to	to	IN
14725	289	76	the	the	DT
14725	289	77	particles	particle	NNS
14725	289	78	of	of	IN
14725	289	79	the	the	DT
14725	289	80	Ether	Ether	NNP
14725	289	81	it	-PRON-	PRP
14725	289	82	is	be	VBZ
14725	289	83	evident	evident	JJ
14725	289	84	that	that	IN
14725	289	85	the	the	DT
14725	289	86	centres	centre	NNS
14725	289	87	of	of	IN
14725	289	88	all	all	PDT
14725	289	89	the	the	DT
14725	289	90	particular	particular	JJ
14725	289	91	spheres	sphere	NNS
14725	289	92	of	of	IN
14725	289	93	reflexion	reflexion	NN
14725	289	94	,	,	,
14725	289	95	of	of	IN
14725	289	96	which	which	WDT
14725	289	97	we	-PRON-	PRP
14725	289	98	have	have	VBP
14725	289	99	spoken	speak	VBN
14725	289	100	,	,	,
14725	289	101	are	be	VBP
14725	289	102	almost	almost	RB
14725	289	103	in	in	IN
14725	289	104	one	one	CD
14725	289	105	uniform	uniform	JJ
14725	289	106	plane	plane	NN
14725	289	107	,	,	,
14725	289	108	and	and	CC
14725	289	109	that	that	IN
14725	289	110	thus	thus	RB
14725	289	111	the	the	DT
14725	289	112	common	common	JJ
14725	289	113	tangent	tangent	NN
14725	289	114	can	can	MD
14725	289	115	fit	fit	VB
14725	289	116	to	to	IN
14725	289	117	them	-PRON-	PRP
14725	289	118	as	as	RB
14725	289	119	perfectly	perfectly	RB
14725	289	120	as	as	IN
14725	289	121	is	be	VBZ
14725	289	122	requisite	requisite	JJ
14725	289	123	for	for	IN
14725	289	124	the	the	DT
14725	289	125	production	production	NN
14725	289	126	of	of	IN
14725	289	127	light	light	NN
14725	289	128	.	.	.
14725	290	1	And	and	CC
14725	290	2	this	this	DT
14725	290	3	alone	alone	RB
14725	290	4	is	be	VBZ
14725	290	5	requisite	requisite	JJ
14725	290	6	,	,	,
14725	290	7	in	in	IN
14725	290	8	our	-PRON-	PRP$
14725	290	9	method	method	NN
14725	290	10	of	of	IN
14725	290	11	demonstration	demonstration	NN
14725	290	12	,	,	,
14725	290	13	to	to	TO
14725	290	14	cause	cause	VB
14725	290	15	equality	equality	NN
14725	290	16	of	of	IN
14725	290	17	the	the	DT
14725	290	18	said	say	VBN
14725	290	19	angles	angle	NNS
14725	290	20	without	without	IN
14725	290	21	the	the	DT
14725	290	22	remainder	remainder	NN
14725	290	23	of	of	IN
14725	290	24	the	the	DT
14725	290	25	movement	movement	NN
14725	290	26	reflected	reflect	VBN
14725	290	27	from	from	IN
14725	290	28	all	all	DT
14725	290	29	parts	part	NNS
14725	290	30	being	be	VBG
14725	290	31	able	able	JJ
14725	290	32	to	to	TO
14725	290	33	produce	produce	VB
14725	290	34	any	any	DT
14725	290	35	contrary	contrary	JJ
14725	290	36	effect	effect	NN
14725	290	37	.	.	.
14725	291	1	CHAPTER	chapter	NN
14725	291	2	III	iii	CD
14725	291	3	ON	ON	NNP
14725	291	4	REFRACTION	REFRACTION	VBN
14725	291	5	In	in	IN
14725	291	6	the	the	DT
14725	291	7	same	same	JJ
14725	291	8	way	way	NN
14725	291	9	as	as	IN
14725	291	10	the	the	DT
14725	291	11	effects	effect	NNS
14725	291	12	of	of	IN
14725	291	13	Reflexion	reflexion	NN
14725	291	14	have	have	VBP
14725	291	15	been	be	VBN
14725	291	16	explained	explain	VBN
14725	291	17	by	by	IN
14725	291	18	waves	wave	NNS
14725	291	19	of	of	IN
14725	291	20	light	light	NN
14725	291	21	reflected	reflect	VBN
14725	291	22	at	at	IN
14725	291	23	the	the	DT
14725	291	24	surface	surface	NN
14725	291	25	of	of	IN
14725	291	26	polished	polished	JJ
14725	291	27	bodies	body	NNS
14725	291	28	,	,	,
14725	291	29	we	-PRON-	PRP
14725	291	30	will	will	MD
14725	291	31	explain	explain	VB
14725	291	32	transparency	transparency	NN
14725	291	33	and	and	CC
14725	291	34	the	the	DT
14725	291	35	phenomena	phenomenon	NNS
14725	291	36	of	of	IN
14725	291	37	refraction	refraction	NN
14725	291	38	by	by	IN
14725	291	39	waves	wave	NNS
14725	291	40	which	which	WDT
14725	291	41	spread	spread	VBD
14725	291	42	within	within	RB
14725	291	43	and	and	CC
14725	291	44	across	across	IN
14725	291	45	diaphanous	diaphanous	JJ
14725	291	46	bodies	body	NNS
14725	291	47	,	,	,
14725	291	48	both	both	DT
14725	291	49	solids	solid	NNS
14725	291	50	,	,	,
14725	291	51	such	such	JJ
14725	291	52	as	as	IN
14725	291	53	glass	glass	NN
14725	291	54	,	,	,
14725	291	55	and	and	CC
14725	291	56	liquids	liquid	NNS
14725	291	57	,	,	,
14725	291	58	such	such	JJ
14725	291	59	as	as	IN
14725	291	60	water	water	NN
14725	291	61	,	,	,
14725	291	62	oils	oil	NNS
14725	291	63	,	,	,
14725	291	64	etc	etc	FW
14725	291	65	.	.	.
14725	292	1	But	but	CC
14725	292	2	in	in	IN
14725	292	3	order	order	NN
14725	292	4	that	that	IN
14725	292	5	it	-PRON-	PRP
14725	292	6	may	may	MD
14725	292	7	not	not	RB
14725	292	8	seem	seem	VB
14725	292	9	strange	strange	JJ
14725	292	10	to	to	TO
14725	292	11	suppose	suppose	VB
14725	292	12	this	this	DT
14725	292	13	passage	passage	NN
14725	292	14	of	of	IN
14725	292	15	waves	wave	NNS
14725	292	16	in	in	IN
14725	292	17	the	the	DT
14725	292	18	interior	interior	NN
14725	292	19	of	of	IN
14725	292	20	these	these	DT
14725	292	21	bodies	body	NNS
14725	292	22	,	,	,
14725	292	23	I	-PRON-	PRP
14725	292	24	will	will	MD
14725	292	25	first	first	RB
14725	292	26	show	show	VB
14725	292	27	that	that	IN
14725	292	28	one	one	PRP
14725	292	29	may	may	MD
14725	292	30	conceive	conceive	VB
14725	292	31	it	-PRON-	PRP
14725	292	32	possible	possible	JJ
14725	292	33	in	in	IN
14725	292	34	more	more	JJR
14725	292	35	than	than	IN
14725	292	36	one	one	CD
14725	292	37	mode	mode	NN
14725	292	38	.	.	.
14725	293	1	First	first	RB
14725	293	2	,	,	,
14725	293	3	then	then	RB
14725	293	4	,	,	,
14725	293	5	if	if	IN
14725	293	6	the	the	DT
14725	293	7	ethereal	ethereal	NN
14725	293	8	matter	matter	NN
14725	293	9	can	can	MD
14725	293	10	not	not	RB
14725	293	11	penetrate	penetrate	VB
14725	293	12	transparent	transparent	JJ
14725	293	13	bodies	body	NNS
14725	293	14	at	at	RB
14725	293	15	all	all	RB
14725	293	16	,	,	,
14725	293	17	their	-PRON-	PRP$
14725	293	18	own	own	JJ
14725	293	19	particles	particle	NNS
14725	293	20	would	would	MD
14725	293	21	be	be	VB
14725	293	22	able	able	JJ
14725	293	23	to	to	TO
14725	293	24	communicate	communicate	VB
14725	293	25	successively	successively	RB
14725	293	26	the	the	DT
14725	293	27	movement	movement	NN
14725	293	28	of	of	IN
14725	293	29	the	the	DT
14725	293	30	waves	wave	NNS
14725	293	31	,	,	,
14725	293	32	the	the	DT
14725	293	33	same	same	JJ
14725	293	34	as	as	IN
14725	293	35	do	do	VBP
14725	293	36	those	those	DT
14725	293	37	of	of	IN
14725	293	38	the	the	DT
14725	293	39	Ether	Ether	NNP
14725	293	40	,	,	,
14725	293	41	supposing	suppose	VBG
14725	293	42	that	that	IN
14725	293	43	,	,	,
14725	293	44	like	like	IN
14725	293	45	those	those	DT
14725	293	46	,	,	,
14725	293	47	they	-PRON-	PRP
14725	293	48	are	be	VBP
14725	293	49	of	of	IN
14725	293	50	a	a	DT
14725	293	51	nature	nature	NN
14725	293	52	to	to	TO
14725	293	53	act	act	VB
14725	293	54	as	as	IN
14725	293	55	a	a	DT
14725	293	56	spring	spring	NN
14725	293	57	.	.	.
14725	294	1	And	and	CC
14725	294	2	this	this	DT
14725	294	3	is	be	VBZ
14725	294	4	easy	easy	JJ
14725	294	5	to	to	TO
14725	294	6	conceive	conceive	VB
14725	294	7	as	as	IN
14725	294	8	regards	regard	VBZ
14725	294	9	water	water	NN
14725	294	10	and	and	CC
14725	294	11	other	other	JJ
14725	294	12	transparent	transparent	JJ
14725	294	13	liquids	liquid	NNS
14725	294	14	,	,	,
14725	294	15	they	-PRON-	PRP
14725	294	16	being	be	VBG
14725	294	17	composed	compose	VBN
14725	294	18	of	of	IN
14725	294	19	detached	detach	VBN
14725	294	20	particles	particle	NNS
14725	294	21	.	.	.
14725	295	1	But	but	CC
14725	295	2	it	-PRON-	PRP
14725	295	3	may	may	MD
14725	295	4	seem	seem	VB
14725	295	5	more	more	RBR
14725	295	6	difficult	difficult	JJ
14725	295	7	as	as	IN
14725	295	8	regards	regard	VBZ
14725	295	9	glass	glass	NN
14725	295	10	and	and	CC
14725	295	11	other	other	JJ
14725	295	12	transparent	transparent	JJ
14725	295	13	and	and	CC
14725	295	14	hard	hard	JJ
14725	295	15	bodies	body	NNS
14725	295	16	,	,	,
14725	295	17	because	because	IN
14725	295	18	their	-PRON-	PRP$
14725	295	19	solidity	solidity	NN
14725	295	20	does	do	VBZ
14725	295	21	not	not	RB
14725	295	22	seem	seem	VB
14725	295	23	to	to	TO
14725	295	24	permit	permit	VB
14725	295	25	them	-PRON-	PRP
14725	295	26	to	to	TO
14725	295	27	receive	receive	VB
14725	295	28	movement	movement	NN
14725	295	29	except	except	IN
14725	295	30	in	in	IN
14725	295	31	their	-PRON-	PRP$
14725	295	32	whole	whole	JJ
14725	295	33	mass	mass	NN
14725	295	34	at	at	IN
14725	295	35	the	the	DT
14725	295	36	same	same	JJ
14725	295	37	time	time	NN
14725	295	38	.	.	.
14725	296	1	This	this	DT
14725	296	2	,	,	,
14725	296	3	however	however	RB
14725	296	4	,	,	,
14725	296	5	is	be	VBZ
14725	296	6	not	not	RB
14725	296	7	necessary	necessary	JJ
14725	296	8	because	because	IN
14725	296	9	this	this	DT
14725	296	10	solidity	solidity	NN
14725	296	11	is	be	VBZ
14725	296	12	not	not	RB
14725	296	13	such	such	JJ
14725	296	14	as	as	IN
14725	296	15	it	-PRON-	PRP
14725	296	16	appears	appear	VBZ
14725	296	17	to	to	IN
14725	296	18	us	-PRON-	PRP
14725	296	19	,	,	,
14725	296	20	it	-PRON-	PRP
14725	296	21	being	be	VBG
14725	296	22	probable	probable	JJ
14725	296	23	rather	rather	RB
14725	296	24	that	that	IN
14725	296	25	these	these	DT
14725	296	26	bodies	body	NNS
14725	296	27	are	be	VBP
14725	296	28	composed	compose	VBN
14725	296	29	of	of	IN
14725	296	30	particles	particle	NNS
14725	296	31	merely	merely	RB
14725	296	32	placed	place	VBD
14725	296	33	close	close	RB
14725	296	34	to	to	IN
14725	296	35	one	one	CD
14725	296	36	another	another	DT
14725	296	37	and	and	CC
14725	296	38	held	hold	VBN
14725	296	39	together	together	RB
14725	296	40	by	by	IN
14725	296	41	some	some	DT
14725	296	42	pressure	pressure	NN
14725	296	43	from	from	IN
14725	296	44	without	without	IN
14725	296	45	of	of	IN
14725	296	46	some	some	DT
14725	296	47	other	other	JJ
14725	296	48	matter	matter	NN
14725	296	49	,	,	,
14725	296	50	and	and	CC
14725	296	51	by	by	IN
14725	296	52	the	the	DT
14725	296	53	irregularity	irregularity	NN
14725	296	54	of	of	IN
14725	296	55	their	-PRON-	PRP$
14725	296	56	shapes	shape	NNS
14725	296	57	.	.	.
14725	297	1	For	for	IN
14725	297	2	primarily	primarily	RB
14725	297	3	their	-PRON-	PRP$
14725	297	4	rarity	rarity	NN
14725	297	5	is	be	VBZ
14725	297	6	shown	show	VBN
14725	297	7	by	by	IN
14725	297	8	the	the	DT
14725	297	9	facility	facility	NN
14725	297	10	with	with	IN
14725	297	11	which	which	WDT
14725	297	12	there	there	EX
14725	297	13	passes	pass	VBZ
14725	297	14	through	through	IN
14725	297	15	them	-PRON-	PRP
14725	297	16	the	the	DT
14725	297	17	matter	matter	NN
14725	297	18	of	of	IN
14725	297	19	the	the	DT
14725	297	20	vortices	vortex	NNS
14725	297	21	of	of	IN
14725	297	22	the	the	DT
14725	297	23	magnet	magnet	NN
14725	297	24	,	,	,
14725	297	25	and	and	CC
14725	297	26	that	that	IN
14725	297	27	which	which	WDT
14725	297	28	causes	cause	VBZ
14725	297	29	gravity	gravity	NN
14725	297	30	.	.	.
14725	298	1	Further	further	RB
14725	298	2	,	,	,
14725	298	3	one	one	PRP
14725	298	4	can	can	MD
14725	298	5	not	not	RB
14725	298	6	say	say	VB
14725	298	7	that	that	IN
14725	298	8	these	these	DT
14725	298	9	bodies	body	NNS
14725	298	10	are	be	VBP
14725	298	11	of	of	IN
14725	298	12	a	a	DT
14725	298	13	texture	texture	NN
14725	298	14	similar	similar	JJ
14725	298	15	to	to	IN
14725	298	16	that	that	DT
14725	298	17	of	of	IN
14725	298	18	a	a	DT
14725	298	19	sponge	sponge	NN
14725	298	20	or	or	CC
14725	298	21	of	of	IN
14725	298	22	light	light	JJ
14725	298	23	bread	bread	NN
14725	298	24	,	,	,
14725	298	25	because	because	IN
14725	298	26	the	the	DT
14725	298	27	heat	heat	NN
14725	298	28	of	of	IN
14725	298	29	the	the	DT
14725	298	30	fire	fire	NN
14725	298	31	makes	make	VBZ
14725	298	32	them	-PRON-	PRP
14725	298	33	flow	flow	VB
14725	298	34	and	and	CC
14725	298	35	thereby	thereby	RB
14725	298	36	changes	change	VBZ
14725	298	37	the	the	DT
14725	298	38	situation	situation	NN
14725	298	39	of	of	IN
14725	298	40	the	the	DT
14725	298	41	particles	particle	NNS
14725	298	42	amongst	amongst	IN
14725	298	43	themselves	-PRON-	PRP
14725	298	44	.	.	.
14725	299	1	It	-PRON-	PRP
14725	299	2	remains	remain	VBZ
14725	299	3	then	then	RB
14725	299	4	that	that	IN
14725	299	5	they	-PRON-	PRP
14725	299	6	are	be	VBP
14725	299	7	,	,	,
14725	299	8	as	as	IN
14725	299	9	has	have	VBZ
14725	299	10	been	be	VBN
14725	299	11	said	say	VBN
14725	299	12	,	,	,
14725	299	13	assemblages	assemblage	NNS
14725	299	14	of	of	IN
14725	299	15	particles	particle	NNS
14725	299	16	which	which	WDT
14725	299	17	touch	touch	VBP
14725	299	18	one	one	NN
14725	299	19	another	another	DT
14725	299	20	without	without	IN
14725	299	21	constituting	constitute	VBG
14725	299	22	a	a	DT
14725	299	23	continuous	continuous	JJ
14725	299	24	solid	solid	NN
14725	299	25	.	.	.
14725	300	1	This	this	DT
14725	300	2	being	be	VBG
14725	300	3	so	so	RB
14725	300	4	,	,	,
14725	300	5	the	the	DT
14725	300	6	movement	movement	NN
14725	300	7	which	which	WDT
14725	300	8	these	these	DT
14725	300	9	particles	particle	NNS
14725	300	10	receive	receive	VBP
14725	300	11	to	to	TO
14725	300	12	carry	carry	VB
14725	300	13	on	on	RP
14725	300	14	the	the	DT
14725	300	15	waves	wave	NNS
14725	300	16	of	of	IN
14725	300	17	light	light	NN
14725	300	18	,	,	,
14725	300	19	being	be	VBG
14725	300	20	merely	merely	RB
14725	300	21	communicated	communicate	VBN
14725	300	22	from	from	IN
14725	300	23	some	some	DT
14725	300	24	of	of	IN
14725	300	25	them	-PRON-	PRP
14725	300	26	to	to	IN
14725	300	27	others	other	NNS
14725	300	28	,	,	,
14725	300	29	without	without	IN
14725	300	30	their	-PRON-	PRP$
14725	300	31	going	go	VBG
14725	300	32	for	for	IN
14725	300	33	that	that	DT
14725	300	34	purpose	purpose	NN
14725	300	35	out	out	IN
14725	300	36	of	of	IN
14725	300	37	their	-PRON-	PRP$
14725	300	38	places	place	NNS
14725	300	39	or	or	CC
14725	300	40	without	without	IN
14725	300	41	derangement	derangement	NN
14725	300	42	,	,	,
14725	300	43	it	-PRON-	PRP
14725	300	44	may	may	MD
14725	300	45	very	very	RB
14725	300	46	well	well	RB
14725	300	47	produce	produce	VB
14725	300	48	its	-PRON-	PRP$
14725	300	49	effect	effect	NN
14725	300	50	without	without	IN
14725	300	51	prejudicing	prejudice	VBG
14725	300	52	in	in	IN
14725	300	53	any	any	DT
14725	300	54	way	way	NN
14725	300	55	the	the	DT
14725	300	56	apparent	apparent	JJ
14725	300	57	solidity	solidity	NN
14725	300	58	of	of	IN
14725	300	59	the	the	DT
14725	300	60	compound	compound	NN
14725	300	61	.	.	.
14725	301	1	By	by	IN
14725	301	2	pressure	pressure	NN
14725	301	3	from	from	IN
14725	301	4	without	without	IN
14725	301	5	,	,	,
14725	301	6	of	of	IN
14725	301	7	which	which	WDT
14725	301	8	I	-PRON-	PRP
14725	301	9	have	have	VBP
14725	301	10	spoken	speak	VBN
14725	301	11	,	,	,
14725	301	12	must	must	MD
14725	301	13	not	not	RB
14725	301	14	be	be	VB
14725	301	15	understood	understand	VBN
14725	301	16	that	that	IN
14725	301	17	of	of	IN
14725	301	18	the	the	DT
14725	301	19	air	air	NN
14725	301	20	,	,	,
14725	301	21	which	which	WDT
14725	301	22	would	would	MD
14725	301	23	not	not	RB
14725	301	24	be	be	VB
14725	301	25	sufficient	sufficient	JJ
14725	301	26	,	,	,
14725	301	27	but	but	CC
14725	301	28	that	that	DT
14725	301	29	of	of	IN
14725	301	30	some	some	DT
14725	301	31	other	other	JJ
14725	301	32	more	more	RBR
14725	301	33	subtle	subtle	JJ
14725	301	34	matter	matter	NN
14725	301	35	,	,	,
14725	301	36	a	a	DT
14725	301	37	pressure	pressure	NN
14725	301	38	which	which	WDT
14725	301	39	I	-PRON-	PRP
14725	301	40	chanced	chance	VBD
14725	301	41	upon	upon	IN
14725	301	42	by	by	IN
14725	301	43	experiment	experiment	NN
14725	301	44	long	long	RB
14725	301	45	ago	ago	RB
14725	301	46	,	,	,
14725	301	47	namely	namely	RB
14725	301	48	in	in	IN
14725	301	49	the	the	DT
14725	301	50	case	case	NN
14725	301	51	of	of	IN
14725	301	52	water	water	NN
14725	301	53	freed	free	VBN
14725	301	54	from	from	IN
14725	301	55	air	air	NN
14725	301	56	,	,	,
14725	301	57	which	which	WDT
14725	301	58	remains	remain	VBZ
14725	301	59	suspended	suspend	VBN
14725	301	60	in	in	IN
14725	301	61	a	a	DT
14725	301	62	tube	tube	NN
14725	301	63	open	open	JJ
14725	301	64	at	at	IN
14725	301	65	its	-PRON-	PRP$
14725	301	66	lower	low	JJR
14725	301	67	end	end	NN
14725	301	68	,	,	,
14725	301	69	notwithstanding	notwithstanding	IN
14725	301	70	that	that	IN
14725	301	71	the	the	DT
14725	301	72	air	air	NN
14725	301	73	has	have	VBZ
14725	301	74	been	be	VBN
14725	301	75	removed	remove	VBN
14725	301	76	from	from	IN
14725	301	77	the	the	DT
14725	301	78	vessel	vessel	NN
14725	301	79	in	in	IN
14725	301	80	which	which	WDT
14725	301	81	this	this	DT
14725	301	82	tube	tube	NN
14725	301	83	is	be	VBZ
14725	301	84	enclosed	enclose	VBN
14725	301	85	.	.	.
14725	302	1	One	one	PRP
14725	302	2	can	can	MD
14725	302	3	then	then	RB
14725	302	4	in	in	IN
14725	302	5	this	this	DT
14725	302	6	way	way	NN
14725	302	7	conceive	conceive	JJ
14725	302	8	of	of	IN
14725	302	9	transparency	transparency	NN
14725	302	10	in	in	IN
14725	302	11	a	a	DT
14725	302	12	solid	solid	JJ
14725	302	13	without	without	IN
14725	302	14	any	any	DT
14725	302	15	necessity	necessity	NN
14725	302	16	that	that	WDT
14725	302	17	the	the	DT
14725	302	18	ethereal	ethereal	JJ
14725	302	19	matter	matter	NN
14725	302	20	which	which	WDT
14725	302	21	serves	serve	VBZ
14725	302	22	for	for	IN
14725	302	23	light	light	NN
14725	302	24	should	should	MD
14725	302	25	pass	pass	VB
14725	302	26	through	through	IN
14725	302	27	it	-PRON-	PRP
14725	302	28	,	,	,
14725	302	29	or	or	CC
14725	302	30	that	that	IN
14725	302	31	it	-PRON-	PRP
14725	302	32	should	should	MD
14725	302	33	find	find	VB
14725	302	34	pores	pore	NNS
14725	302	35	in	in	IN
14725	302	36	which	which	WDT
14725	302	37	to	to	TO
14725	302	38	insinuate	insinuate	VB
14725	302	39	itself	-PRON-	PRP
14725	302	40	.	.	.
14725	303	1	But	but	CC
14725	303	2	the	the	DT
14725	303	3	truth	truth	NN
14725	303	4	is	be	VBZ
14725	303	5	that	that	IN
14725	303	6	this	this	DT
14725	303	7	matter	matter	NN
14725	303	8	not	not	RB
14725	303	9	only	only	RB
14725	303	10	passes	pass	VBZ
14725	303	11	through	through	IN
14725	303	12	solids	solid	NNS
14725	303	13	,	,	,
14725	303	14	but	but	CC
14725	303	15	does	do	VBZ
14725	303	16	so	so	RB
14725	303	17	even	even	RB
14725	303	18	with	with	IN
14725	303	19	great	great	JJ
14725	303	20	facility	facility	NN
14725	303	21	;	;	:
14725	303	22	of	of	IN
14725	303	23	which	which	WDT
14725	303	24	the	the	DT
14725	303	25	experiment	experiment	NN
14725	303	26	of	of	IN
14725	303	27	Torricelli	Torricelli	NNP
14725	303	28	,	,	,
14725	303	29	above	above	RB
14725	303	30	cited	cite	VBN
14725	303	31	,	,	,
14725	303	32	is	be	VBZ
14725	303	33	already	already	RB
14725	303	34	a	a	DT
14725	303	35	proof	proof	NN
14725	303	36	.	.	.
14725	304	1	Because	because	IN
14725	304	2	on	on	IN
14725	304	3	the	the	DT
14725	304	4	quicksilver	quicksilver	NN
14725	304	5	and	and	CC
14725	304	6	the	the	DT
14725	304	7	water	water	NN
14725	304	8	quitting	quit	VBG
14725	304	9	the	the	DT
14725	304	10	upper	upper	JJ
14725	304	11	part	part	NN
14725	304	12	of	of	IN
14725	304	13	the	the	DT
14725	304	14	glass	glass	NN
14725	304	15	tube	tube	NN
14725	304	16	,	,	,
14725	304	17	it	-PRON-	PRP
14725	304	18	appears	appear	VBZ
14725	304	19	that	that	IN
14725	304	20	it	-PRON-	PRP
14725	304	21	is	be	VBZ
14725	304	22	immediately	immediately	RB
14725	304	23	filled	fill	VBN
14725	304	24	with	with	IN
14725	304	25	ethereal	ethereal	JJ
14725	304	26	matter	matter	NN
14725	304	27	,	,	,
14725	304	28	since	since	IN
14725	304	29	light	light	NN
14725	304	30	passes	pass	VBZ
14725	304	31	across	across	IN
14725	304	32	it	-PRON-	PRP
14725	304	33	.	.	.
14725	305	1	But	but	CC
14725	305	2	here	here	RB
14725	305	3	is	be	VBZ
14725	305	4	another	another	DT
14725	305	5	argument	argument	NN
14725	305	6	which	which	WDT
14725	305	7	proves	prove	VBZ
14725	305	8	this	this	DT
14725	305	9	ready	ready	JJ
14725	305	10	penetrability	penetrability	NN
14725	305	11	,	,	,
14725	305	12	not	not	RB
14725	305	13	only	only	RB
14725	305	14	in	in	IN
14725	305	15	transparent	transparent	JJ
14725	305	16	bodies	body	NNS
14725	305	17	but	but	CC
14725	305	18	also	also	RB
14725	305	19	in	in	IN
14725	305	20	all	all	DT
14725	305	21	others	other	NNS
14725	305	22	.	.	.
14725	306	1	When	when	WRB
14725	306	2	light	light	NN
14725	306	3	passes	pass	VBZ
14725	306	4	across	across	IN
14725	306	5	a	a	DT
14725	306	6	hollow	hollow	JJ
14725	306	7	sphere	sphere	NN
14725	306	8	of	of	IN
14725	306	9	glass	glass	NN
14725	306	10	,	,	,
14725	306	11	closed	close	VBN
14725	306	12	on	on	IN
14725	306	13	all	all	DT
14725	306	14	sides	side	NNS
14725	306	15	,	,	,
14725	306	16	it	-PRON-	PRP
14725	306	17	is	be	VBZ
14725	306	18	certain	certain	JJ
14725	306	19	that	that	IN
14725	306	20	it	-PRON-	PRP
14725	306	21	is	be	VBZ
14725	306	22	full	full	JJ
14725	306	23	of	of	IN
14725	306	24	ethereal	ethereal	JJ
14725	306	25	matter	matter	NN
14725	306	26	,	,	,
14725	306	27	as	as	RB
14725	306	28	much	much	RB
14725	306	29	as	as	IN
14725	306	30	the	the	DT
14725	306	31	spaces	space	NNS
14725	306	32	outside	outside	IN
14725	306	33	the	the	DT
14725	306	34	sphere	sphere	NN
14725	306	35	.	.	.
14725	307	1	And	and	CC
14725	307	2	this	this	DT
14725	307	3	ethereal	ethereal	JJ
14725	307	4	matter	matter	NN
14725	307	5	,	,	,
14725	307	6	as	as	IN
14725	307	7	has	have	VBZ
14725	307	8	been	be	VBN
14725	307	9	shown	show	VBN
14725	307	10	above	above	RB
14725	307	11	,	,	,
14725	307	12	consists	consist	VBZ
14725	307	13	of	of	IN
14725	307	14	particles	particle	NNS
14725	307	15	which	which	WDT
14725	307	16	just	just	RB
14725	307	17	touch	touch	VBP
14725	307	18	one	one	NN
14725	307	19	another	another	DT
14725	307	20	.	.	.
14725	308	1	If	if	IN
14725	308	2	then	then	RB
14725	308	3	it	-PRON-	PRP
14725	308	4	were	be	VBD
14725	308	5	enclosed	enclose	VBN
14725	308	6	in	in	IN
14725	308	7	the	the	DT
14725	308	8	sphere	sphere	NN
14725	308	9	in	in	IN
14725	308	10	such	such	PDT
14725	308	11	a	a	DT
14725	308	12	way	way	NN
14725	308	13	that	that	IN
14725	308	14	it	-PRON-	PRP
14725	308	15	could	could	MD
14725	308	16	not	not	RB
14725	308	17	get	get	VB
14725	308	18	out	out	RP
14725	308	19	through	through	IN
14725	308	20	the	the	DT
14725	308	21	pores	pore	NNS
14725	308	22	of	of	IN
14725	308	23	the	the	DT
14725	308	24	glass	glass	NN
14725	308	25	,	,	,
14725	308	26	it	-PRON-	PRP
14725	308	27	would	would	MD
14725	308	28	be	be	VB
14725	308	29	obliged	oblige	VBN
14725	308	30	to	to	TO
14725	308	31	follow	follow	VB
14725	308	32	the	the	DT
14725	308	33	movement	movement	NN
14725	308	34	of	of	IN
14725	308	35	the	the	DT
14725	308	36	sphere	sphere	NN
14725	308	37	when	when	WRB
14725	308	38	one	one	PRP
14725	308	39	changes	change	VBZ
14725	308	40	its	-PRON-	PRP$
14725	308	41	place	place	NN
14725	308	42	:	:	:
14725	308	43	and	and	CC
14725	308	44	it	-PRON-	PRP
14725	308	45	would	would	MD
14725	308	46	require	require	VB
14725	308	47	consequently	consequently	RB
14725	308	48	almost	almost	RB
14725	308	49	the	the	DT
14725	308	50	same	same	JJ
14725	308	51	force	force	NN
14725	308	52	to	to	TO
14725	308	53	impress	impress	VB
14725	308	54	a	a	DT
14725	308	55	certain	certain	JJ
14725	308	56	velocity	velocity	NN
14725	308	57	on	on	IN
14725	308	58	this	this	DT
14725	308	59	sphere	sphere	NN
14725	308	60	,	,	,
14725	308	61	when	when	WRB
14725	308	62	placed	place	VBN
14725	308	63	on	on	IN
14725	308	64	a	a	DT
14725	308	65	horizontal	horizontal	JJ
14725	308	66	plane	plane	NN
14725	308	67	,	,	,
14725	308	68	as	as	IN
14725	308	69	if	if	IN
14725	308	70	it	-PRON-	PRP
14725	308	71	were	be	VBD
14725	308	72	full	full	JJ
14725	308	73	of	of	IN
14725	308	74	water	water	NN
14725	308	75	or	or	CC
14725	308	76	perhaps	perhaps	RB
14725	308	77	of	of	IN
14725	308	78	quicksilver	quicksilver	NNP
14725	308	79	:	:	:
14725	308	80	because	because	IN
14725	308	81	every	every	DT
14725	308	82	body	body	NN
14725	308	83	resists	resist	VBZ
14725	308	84	the	the	DT
14725	308	85	velocity	velocity	NN
14725	308	86	of	of	IN
14725	308	87	the	the	DT
14725	308	88	motion	motion	NN
14725	308	89	which	which	WDT
14725	308	90	one	one	PRP
14725	308	91	would	would	MD
14725	308	92	give	give	VB
14725	308	93	to	to	IN
14725	308	94	it	-PRON-	PRP
14725	308	95	,	,	,
14725	308	96	in	in	IN
14725	308	97	proportion	proportion	NN
14725	308	98	to	to	IN
14725	308	99	the	the	DT
14725	308	100	quantity	quantity	NN
14725	308	101	of	of	IN
14725	308	102	matter	matter	NN
14725	308	103	which	which	WDT
14725	308	104	it	-PRON-	PRP
14725	308	105	contains	contain	VBZ
14725	308	106	,	,	,
14725	308	107	and	and	CC
14725	308	108	which	which	WDT
14725	308	109	is	be	VBZ
14725	308	110	obliged	oblige	VBN
14725	308	111	to	to	TO
14725	308	112	follow	follow	VB
14725	308	113	this	this	DT
14725	308	114	motion	motion	NN
14725	308	115	.	.	.
14725	309	1	But	but	CC
14725	309	2	on	on	IN
14725	309	3	the	the	DT
14725	309	4	contrary	contrary	JJ
14725	309	5	one	one	NN
14725	309	6	finds	find	VBZ
14725	309	7	that	that	IN
14725	309	8	the	the	DT
14725	309	9	sphere	sphere	NN
14725	309	10	resists	resist	NNS
14725	309	11	the	the	DT
14725	309	12	impress	impress	NN
14725	309	13	of	of	IN
14725	309	14	movement	movement	NN
14725	309	15	only	only	RB
14725	309	16	in	in	IN
14725	309	17	proportion	proportion	NN
14725	309	18	to	to	IN
14725	309	19	the	the	DT
14725	309	20	quantity	quantity	NN
14725	309	21	of	of	IN
14725	309	22	matter	matter	NN
14725	309	23	of	of	IN
14725	309	24	the	the	DT
14725	309	25	glass	glass	NN
14725	309	26	of	of	IN
14725	309	27	which	which	WDT
14725	309	28	it	-PRON-	PRP
14725	309	29	is	be	VBZ
14725	309	30	made	make	VBN
14725	309	31	.	.	.
14725	310	1	Then	then	RB
14725	310	2	it	-PRON-	PRP
14725	310	3	must	must	MD
14725	310	4	be	be	VB
14725	310	5	that	that	IN
14725	310	6	the	the	DT
14725	310	7	ethereal	ethereal	JJ
14725	310	8	matter	matter	NN
14725	310	9	which	which	WDT
14725	310	10	is	be	VBZ
14725	310	11	inside	inside	JJ
14725	310	12	is	be	VBZ
14725	310	13	not	not	RB
14725	310	14	shut	shut	VBN
14725	310	15	up	up	RP
14725	310	16	,	,	,
14725	310	17	but	but	CC
14725	310	18	flows	flow	VBZ
14725	310	19	through	through	IN
14725	310	20	it	-PRON-	PRP
14725	310	21	with	with	IN
14725	310	22	very	very	RB
14725	310	23	great	great	JJ
14725	310	24	freedom	freedom	NN
14725	310	25	.	.	.
14725	311	1	We	-PRON-	PRP
14725	311	2	shall	shall	MD
14725	311	3	demonstrate	demonstrate	VB
14725	311	4	hereafter	hereafter	NN
14725	311	5	that	that	IN
14725	311	6	by	by	IN
14725	311	7	this	this	DT
14725	311	8	process	process	NN
14725	311	9	the	the	DT
14725	311	10	same	same	JJ
14725	311	11	penetrability	penetrability	NN
14725	311	12	may	may	MD
14725	311	13	be	be	VB
14725	311	14	inferred	infer	VBN
14725	311	15	also	also	RB
14725	311	16	as	as	IN
14725	311	17	relating	relate	VBG
14725	311	18	to	to	IN
14725	311	19	opaque	opaque	JJ
14725	311	20	bodies	body	NNS
14725	311	21	.	.	.
14725	312	1	The	the	DT
14725	312	2	second	second	JJ
14725	312	3	mode	mode	NN
14725	312	4	then	then	RB
14725	312	5	of	of	IN
14725	312	6	explaining	explain	VBG
14725	312	7	transparency	transparency	NN
14725	312	8	,	,	,
14725	312	9	and	and	CC
14725	312	10	one	one	CD
14725	312	11	which	which	WDT
14725	312	12	appears	appear	VBZ
14725	312	13	more	more	RBR
14725	312	14	probably	probably	RB
14725	312	15	true	true	JJ
14725	312	16	,	,	,
14725	312	17	is	be	VBZ
14725	312	18	by	by	IN
14725	312	19	saying	say	VBG
14725	312	20	that	that	IN
14725	312	21	the	the	DT
14725	312	22	waves	wave	NNS
14725	312	23	of	of	IN
14725	312	24	light	light	NN
14725	312	25	are	be	VBP
14725	312	26	carried	carry	VBN
14725	312	27	on	on	RP
14725	312	28	in	in	IN
14725	312	29	the	the	DT
14725	312	30	ethereal	ethereal	JJ
14725	312	31	matter	matter	NN
14725	312	32	,	,	,
14725	312	33	which	which	WDT
14725	312	34	continuously	continuously	RB
14725	312	35	occupies	occupy	VBZ
14725	312	36	the	the	DT
14725	312	37	interstices	interstice	NNS
14725	312	38	or	or	CC
14725	312	39	pores	pore	NNS
14725	312	40	of	of	IN
14725	312	41	transparent	transparent	JJ
14725	312	42	bodies	body	NNS
14725	312	43	.	.	.
14725	313	1	For	for	IN
14725	313	2	since	since	IN
14725	313	3	it	-PRON-	PRP
14725	313	4	passes	pass	VBZ
14725	313	5	through	through	IN
14725	313	6	them	-PRON-	PRP
14725	313	7	continuously	continuously	RB
14725	313	8	and	and	CC
14725	313	9	freely	freely	RB
14725	313	10	,	,	,
14725	313	11	it	-PRON-	PRP
14725	313	12	follows	follow	VBZ
14725	313	13	that	that	IN
14725	313	14	they	-PRON-	PRP
14725	313	15	are	be	VBP
14725	313	16	always	always	RB
14725	313	17	full	full	JJ
14725	313	18	of	of	IN
14725	313	19	it	-PRON-	PRP
14725	313	20	.	.	.
14725	314	1	And	and	CC
14725	314	2	one	one	PRP
14725	314	3	may	may	MD
14725	314	4	even	even	RB
14725	314	5	show	show	VB
14725	314	6	that	that	IN
14725	314	7	these	these	DT
14725	314	8	interstices	interstice	NNS
14725	314	9	occupy	occupy	VBP
14725	314	10	much	much	RB
14725	314	11	more	more	JJR
14725	314	12	space	space	NN
14725	314	13	than	than	IN
14725	314	14	the	the	DT
14725	314	15	coherent	coherent	JJ
14725	314	16	particles	particle	NNS
14725	314	17	which	which	WDT
14725	314	18	constitute	constitute	VBP
14725	314	19	the	the	DT
14725	314	20	bodies	body	NNS
14725	314	21	.	.	.
14725	315	1	For	for	IN
14725	315	2	if	if	IN
14725	315	3	what	what	WP
14725	315	4	we	-PRON-	PRP
14725	315	5	have	have	VBP
14725	315	6	just	just	RB
14725	315	7	said	say	VBN
14725	315	8	is	be	VBZ
14725	315	9	true	true	JJ
14725	315	10	:	:	:
14725	315	11	that	that	IN
14725	315	12	force	force	NN
14725	315	13	is	be	VBZ
14725	315	14	required	require	VBN
14725	315	15	to	to	TO
14725	315	16	impress	impress	VB
14725	315	17	a	a	DT
14725	315	18	certain	certain	JJ
14725	315	19	horizontal	horizontal	JJ
14725	315	20	velocity	velocity	NN
14725	315	21	on	on	IN
14725	315	22	bodies	body	NNS
14725	315	23	in	in	IN
14725	315	24	proportion	proportion	NN
14725	315	25	as	as	IN
14725	315	26	they	-PRON-	PRP
14725	315	27	contain	contain	VBP
14725	315	28	coherent	coherent	JJ
14725	315	29	matter	matter	NN
14725	315	30	;	;	:
14725	315	31	and	and	CC
14725	315	32	if	if	IN
14725	315	33	the	the	DT
14725	315	34	proportion	proportion	NN
14725	315	35	of	of	IN
14725	315	36	this	this	DT
14725	315	37	force	force	NN
14725	315	38	follows	follow	VBZ
14725	315	39	the	the	DT
14725	315	40	law	law	NN
14725	315	41	of	of	IN
14725	315	42	weights	weight	NNS
14725	315	43	,	,	,
14725	315	44	as	as	IN
14725	315	45	is	be	VBZ
14725	315	46	confirmed	confirm	VBN
14725	315	47	by	by	IN
14725	315	48	experiment	experiment	NN
14725	315	49	,	,	,
14725	315	50	then	then	RB
14725	315	51	the	the	DT
14725	315	52	quantity	quantity	NN
14725	315	53	of	of	IN
14725	315	54	the	the	DT
14725	315	55	constituent	constituent	NN
14725	315	56	matter	matter	NN
14725	315	57	of	of	IN
14725	315	58	bodies	body	NNS
14725	315	59	also	also	RB
14725	315	60	follows	follow	VBZ
14725	315	61	the	the	DT
14725	315	62	proportion	proportion	NN
14725	315	63	of	of	IN
14725	315	64	their	-PRON-	PRP$
14725	315	65	weights	weight	NNS
14725	315	66	.	.	.
14725	316	1	Now	now	RB
14725	316	2	we	-PRON-	PRP
14725	316	3	see	see	VBP
14725	316	4	that	that	DT
14725	316	5	water	water	NN
14725	316	6	weighs	weigh	VBZ
14725	316	7	only	only	RB
14725	316	8	one	one	CD
14725	316	9	fourteenth	fourteenth	JJ
14725	316	10	part	part	NN
14725	316	11	as	as	RB
14725	316	12	much	much	RB
14725	316	13	as	as	IN
14725	316	14	an	an	DT
14725	316	15	equal	equal	JJ
14725	316	16	portion	portion	NN
14725	316	17	of	of	IN
14725	316	18	quicksilver	quicksilver	NNP
14725	316	19	:	:	:
14725	316	20	therefore	therefore	RB
14725	316	21	the	the	DT
14725	316	22	matter	matter	NN
14725	316	23	of	of	IN
14725	316	24	the	the	DT
14725	316	25	water	water	NN
14725	316	26	does	do	VBZ
14725	316	27	not	not	RB
14725	316	28	occupy	occupy	VB
14725	316	29	the	the	DT
14725	316	30	fourteenth	fourteenth	JJ
14725	316	31	part	part	NN
14725	316	32	of	of	IN
14725	316	33	the	the	DT
14725	316	34	space	space	NN
14725	316	35	which	which	WDT
14725	316	36	its	-PRON-	PRP$
14725	316	37	mass	mass	NN
14725	316	38	obtains	obtain	NNS
14725	316	39	.	.	.
14725	317	1	It	-PRON-	PRP
14725	317	2	must	must	MD
14725	317	3	even	even	RB
14725	317	4	occupy	occupy	VB
14725	317	5	much	much	RB
14725	317	6	less	less	JJR
14725	317	7	of	of	IN
14725	317	8	it	-PRON-	PRP
14725	317	9	,	,	,
14725	317	10	since	since	IN
14725	317	11	quicksilver	quicksilver	NNP
14725	317	12	is	be	VBZ
14725	317	13	less	less	RBR
14725	317	14	heavy	heavy	JJ
14725	317	15	than	than	IN
14725	317	16	gold	gold	NN
14725	317	17	,	,	,
14725	317	18	and	and	CC
14725	317	19	the	the	DT
14725	317	20	matter	matter	NN
14725	317	21	of	of	IN
14725	317	22	gold	gold	NN
14725	317	23	is	be	VBZ
14725	317	24	by	by	IN
14725	317	25	no	no	DT
14725	317	26	means	mean	NNS
14725	317	27	dense	dense	JJ
14725	317	28	,	,	,
14725	317	29	as	as	IN
14725	317	30	follows	follow	VBZ
14725	317	31	from	from	IN
14725	317	32	the	the	DT
14725	317	33	fact	fact	NN
14725	317	34	that	that	IN
14725	317	35	the	the	DT
14725	317	36	matter	matter	NN
14725	317	37	of	of	IN
14725	317	38	the	the	DT
14725	317	39	vortices	vortex	NNS
14725	317	40	of	of	IN
14725	317	41	the	the	DT
14725	317	42	magnet	magnet	NN
14725	317	43	and	and	CC
14725	317	44	of	of	IN
14725	317	45	that	that	DT
14725	317	46	which	which	WDT
14725	317	47	is	be	VBZ
14725	317	48	the	the	DT
14725	317	49	cause	cause	NN
14725	317	50	of	of	IN
14725	317	51	gravity	gravity	NN
14725	317	52	pass	pass	VB
14725	317	53	very	very	RB
14725	317	54	freely	freely	RB
14725	317	55	through	through	IN
14725	317	56	it	-PRON-	PRP
14725	317	57	.	.	.
14725	318	1	But	but	CC
14725	318	2	it	-PRON-	PRP
14725	318	3	may	may	MD
14725	318	4	be	be	VB
14725	318	5	objected	object	VBN
14725	318	6	here	here	RB
14725	318	7	that	that	IN
14725	318	8	if	if	IN
14725	318	9	water	water	NN
14725	318	10	is	be	VBZ
14725	318	11	a	a	DT
14725	318	12	body	body	NN
14725	318	13	of	of	IN
14725	318	14	so	so	RB
14725	318	15	great	great	JJ
14725	318	16	rarity	rarity	NN
14725	318	17	,	,	,
14725	318	18	and	and	CC
14725	318	19	if	if	IN
14725	318	20	its	-PRON-	PRP$
14725	318	21	particles	particle	NNS
14725	318	22	occupy	occupy	VBP
14725	318	23	so	so	RB
14725	318	24	small	small	JJ
14725	318	25	a	a	DT
14725	318	26	portion	portion	NN
14725	318	27	of	of	IN
14725	318	28	the	the	DT
14725	318	29	space	space	NN
14725	318	30	of	of	IN
14725	318	31	its	-PRON-	PRP$
14725	318	32	apparent	apparent	JJ
14725	318	33	bulk	bulk	NN
14725	318	34	,	,	,
14725	318	35	it	-PRON-	PRP
14725	318	36	is	be	VBZ
14725	318	37	very	very	RB
14725	318	38	strange	strange	JJ
14725	318	39	how	how	WRB
14725	318	40	it	-PRON-	PRP
14725	318	41	yet	yet	CC
14725	318	42	resists	resist	VBZ
14725	318	43	Compression	Compression	NNP
14725	318	44	so	so	RB
14725	318	45	strongly	strongly	RB
14725	318	46	without	without	IN
14725	318	47	permitting	permit	VBG
14725	318	48	itself	-PRON-	PRP
14725	318	49	to	to	TO
14725	318	50	be	be	VB
14725	318	51	condensed	condense	VBN
14725	318	52	by	by	IN
14725	318	53	any	any	DT
14725	318	54	force	force	NN
14725	318	55	which	which	WDT
14725	318	56	one	one	PRP
14725	318	57	has	have	VBZ
14725	318	58	hitherto	hitherto	VBN
14725	318	59	essayed	essay	VBN
14725	318	60	to	to	TO
14725	318	61	employ	employ	VB
14725	318	62	,	,	,
14725	318	63	preserving	preserve	VBG
14725	318	64	even	even	RB
14725	318	65	its	-PRON-	PRP$
14725	318	66	entire	entire	JJ
14725	318	67	liquidity	liquidity	NN
14725	318	68	while	while	IN
14725	318	69	subjected	subject	VBN
14725	318	70	to	to	IN
14725	318	71	this	this	DT
14725	318	72	pressure	pressure	NN
14725	318	73	.	.	.
14725	319	1	This	this	DT
14725	319	2	is	be	VBZ
14725	319	3	no	no	DT
14725	319	4	small	small	JJ
14725	319	5	difficulty	difficulty	NN
14725	319	6	.	.	.
14725	320	1	It	-PRON-	PRP
14725	320	2	may	may	MD
14725	320	3	,	,	,
14725	320	4	however	however	RB
14725	320	5	,	,	,
14725	320	6	be	be	VB
14725	320	7	resolved	resolve	VBN
14725	320	8	by	by	IN
14725	320	9	saying	say	VBG
14725	320	10	that	that	IN
14725	320	11	the	the	DT
14725	320	12	very	very	RB
14725	320	13	violent	violent	JJ
14725	320	14	and	and	CC
14725	320	15	rapid	rapid	JJ
14725	320	16	motion	motion	NN
14725	320	17	of	of	IN
14725	320	18	the	the	DT
14725	320	19	subtle	subtle	JJ
14725	320	20	matter	matter	NN
14725	320	21	which	which	WDT
14725	320	22	renders	render	VBZ
14725	320	23	water	water	NN
14725	320	24	liquid	liquid	NN
14725	320	25	,	,	,
14725	320	26	by	by	IN
14725	320	27	agitating	agitate	VBG
14725	320	28	the	the	DT
14725	320	29	particles	particle	NNS
14725	320	30	of	of	IN
14725	320	31	which	which	WDT
14725	320	32	it	-PRON-	PRP
14725	320	33	is	be	VBZ
14725	320	34	composed	compose	VBN
14725	320	35	,	,	,
14725	320	36	maintains	maintain	VBZ
14725	320	37	this	this	DT
14725	320	38	liquidity	liquidity	NN
14725	320	39	in	in	IN
14725	320	40	spite	spite	NN
14725	320	41	of	of	IN
14725	320	42	the	the	DT
14725	320	43	pressure	pressure	NN
14725	320	44	which	which	WDT
14725	320	45	hitherto	hitherto	VBD
14725	320	46	any	any	DT
14725	320	47	one	one	NN
14725	320	48	has	have	VBZ
14725	320	49	been	be	VBN
14725	320	50	minded	mind	VBN
14725	320	51	to	to	TO
14725	320	52	apply	apply	VB
14725	320	53	to	to	IN
14725	320	54	it	-PRON-	PRP
14725	320	55	.	.	.
14725	321	1	The	the	DT
14725	321	2	rarity	rarity	NN
14725	321	3	of	of	IN
14725	321	4	transparent	transparent	JJ
14725	321	5	bodies	body	NNS
14725	321	6	being	be	VBG
14725	321	7	then	then	RB
14725	321	8	such	such	JJ
14725	321	9	as	as	IN
14725	321	10	we	-PRON-	PRP
14725	321	11	have	have	VBP
14725	321	12	said	say	VBD
14725	321	13	,	,	,
14725	321	14	one	one	CD
14725	321	15	easily	easily	RB
14725	321	16	conceives	conceive	VBZ
14725	321	17	that	that	IN
14725	321	18	the	the	DT
14725	321	19	waves	wave	NNS
14725	321	20	might	may	MD
14725	321	21	be	be	VB
14725	321	22	carried	carry	VBN
14725	321	23	on	on	RP
14725	321	24	in	in	IN
14725	321	25	the	the	DT
14725	321	26	ethereal	ethereal	JJ
14725	321	27	matter	matter	NN
14725	321	28	which	which	WDT
14725	321	29	fills	fill	VBZ
14725	321	30	the	the	DT
14725	321	31	interstices	interstice	NNS
14725	321	32	of	of	IN
14725	321	33	the	the	DT
14725	321	34	particles	particle	NNS
14725	321	35	.	.	.
14725	322	1	And	and	CC
14725	322	2	,	,	,
14725	322	3	moreover	moreover	RB
14725	322	4	,	,	,
14725	322	5	one	one	PRP
14725	322	6	may	may	MD
14725	322	7	believe	believe	VB
14725	322	8	that	that	IN
14725	322	9	the	the	DT
14725	322	10	progression	progression	NN
14725	322	11	of	of	IN
14725	322	12	these	these	DT
14725	322	13	waves	wave	NNS
14725	322	14	ought	ought	MD
14725	322	15	to	to	TO
14725	322	16	be	be	VB
14725	322	17	a	a	DT
14725	322	18	little	little	JJ
14725	322	19	slower	slow	JJR
14725	322	20	in	in	IN
14725	322	21	the	the	DT
14725	322	22	interior	interior	NN
14725	322	23	of	of	IN
14725	322	24	bodies	body	NNS
14725	322	25	,	,	,
14725	322	26	by	by	IN
14725	322	27	reason	reason	NN
14725	322	28	of	of	IN
14725	322	29	the	the	DT
14725	322	30	small	small	JJ
14725	322	31	detours	detour	NNS
14725	322	32	which	which	WDT
14725	322	33	the	the	DT
14725	322	34	same	same	JJ
14725	322	35	particles	particle	NNS
14725	322	36	cause	cause	VBP
14725	322	37	.	.	.
14725	323	1	In	in	IN
14725	323	2	which	which	WDT
14725	323	3	different	different	JJ
14725	323	4	velocity	velocity	NN
14725	323	5	of	of	IN
14725	323	6	light	light	NN
14725	323	7	I	-PRON-	PRP
14725	323	8	shall	shall	MD
14725	323	9	show	show	VB
14725	323	10	the	the	DT
14725	323	11	cause	cause	NN
14725	323	12	of	of	IN
14725	323	13	refraction	refraction	NN
14725	323	14	to	to	TO
14725	323	15	consist	consist	VB
14725	323	16	.	.	.
14725	324	1	Before	before	IN
14725	324	2	doing	do	VBG
14725	324	3	so	so	RB
14725	324	4	,	,	,
14725	324	5	I	-PRON-	PRP
14725	324	6	will	will	MD
14725	324	7	indicate	indicate	VB
14725	324	8	the	the	DT
14725	324	9	third	third	JJ
14725	324	10	and	and	CC
14725	324	11	last	last	JJ
14725	324	12	mode	mode	NN
14725	324	13	in	in	IN
14725	324	14	which	which	WDT
14725	324	15	transparency	transparency	NN
14725	324	16	may	may	MD
14725	324	17	be	be	VB
14725	324	18	conceived	conceive	VBN
14725	324	19	;	;	:
14725	324	20	which	which	WDT
14725	324	21	is	be	VBZ
14725	324	22	by	by	IN
14725	324	23	supposing	suppose	VBG
14725	324	24	that	that	IN
14725	324	25	the	the	DT
14725	324	26	movement	movement	NN
14725	324	27	of	of	IN
14725	324	28	the	the	DT
14725	324	29	waves	wave	NNS
14725	324	30	of	of	IN
14725	324	31	light	light	NN
14725	324	32	is	be	VBZ
14725	324	33	transmitted	transmit	VBN
14725	324	34	indifferently	indifferently	RB
14725	324	35	both	both	CC
14725	324	36	in	in	IN
14725	324	37	the	the	DT
14725	324	38	particles	particle	NNS
14725	324	39	of	of	IN
14725	324	40	the	the	DT
14725	324	41	ethereal	ethereal	JJ
14725	324	42	matter	matter	NN
14725	324	43	which	which	WDT
14725	324	44	occupy	occupy	VBP
14725	324	45	the	the	DT
14725	324	46	interstices	interstice	NNS
14725	324	47	of	of	IN
14725	324	48	bodies	body	NNS
14725	324	49	,	,	,
14725	324	50	and	and	CC
14725	324	51	in	in	IN
14725	324	52	the	the	DT
14725	324	53	particles	particle	NNS
14725	324	54	which	which	WDT
14725	324	55	compose	compose	VBD
14725	324	56	them	-PRON-	PRP
14725	324	57	,	,	,
14725	324	58	so	so	IN
14725	324	59	that	that	IN
14725	324	60	the	the	DT
14725	324	61	movement	movement	NN
14725	324	62	passes	pass	VBZ
14725	324	63	from	from	IN
14725	324	64	one	one	CD
14725	324	65	to	to	IN
14725	324	66	the	the	DT
14725	324	67	other	other	JJ
14725	324	68	.	.	.
14725	325	1	And	and	CC
14725	325	2	it	-PRON-	PRP
14725	325	3	will	will	MD
14725	325	4	be	be	VB
14725	325	5	seen	see	VBN
14725	325	6	hereafter	hereafter	IN
14725	325	7	that	that	IN
14725	325	8	this	this	DT
14725	325	9	hypothesis	hypothesis	NN
14725	325	10	serves	serve	VBZ
14725	325	11	excellently	excellently	RB
14725	325	12	to	to	TO
14725	325	13	explain	explain	VB
14725	325	14	the	the	DT
14725	325	15	double	double	JJ
14725	325	16	refraction	refraction	NN
14725	325	17	of	of	IN
14725	325	18	certain	certain	JJ
14725	325	19	transparent	transparent	JJ
14725	325	20	bodies	body	NNS
14725	325	21	.	.	.
14725	326	1	Should	Should	MD
14725	326	2	it	-PRON-	PRP
14725	326	3	be	be	VB
14725	326	4	objected	object	VBN
14725	326	5	that	that	IN
14725	326	6	if	if	IN
14725	326	7	the	the	DT
14725	326	8	particles	particle	NNS
14725	326	9	of	of	IN
14725	326	10	the	the	DT
14725	326	11	ether	ether	NN
14725	326	12	are	be	VBP
14725	326	13	smaller	small	JJR
14725	326	14	than	than	IN
14725	326	15	those	those	DT
14725	326	16	of	of	IN
14725	326	17	transparent	transparent	JJ
14725	326	18	bodies	body	NNS
14725	326	19	(	(	-LRB-
14725	326	20	since	since	IN
14725	326	21	they	-PRON-	PRP
14725	326	22	pass	pass	VBP
14725	326	23	through	through	IN
14725	326	24	their	-PRON-	PRP$
14725	326	25	intervals	interval	NNS
14725	326	26	)	)	-RRB-
14725	326	27	,	,	,
14725	326	28	it	-PRON-	PRP
14725	326	29	would	would	MD
14725	326	30	follow	follow	VB
14725	326	31	that	that	IN
14725	326	32	they	-PRON-	PRP
14725	326	33	can	can	MD
14725	326	34	communicate	communicate	VB
14725	326	35	to	to	IN
14725	326	36	them	-PRON-	PRP
14725	326	37	but	but	CC
14725	326	38	little	little	JJ
14725	326	39	of	of	IN
14725	326	40	their	-PRON-	PRP$
14725	326	41	movement	movement	NN
14725	326	42	,	,	,
14725	326	43	it	-PRON-	PRP
14725	326	44	may	may	MD
14725	326	45	be	be	VB
14725	326	46	replied	reply	VBN
14725	326	47	that	that	IN
14725	326	48	the	the	DT
14725	326	49	particles	particle	NNS
14725	326	50	of	of	IN
14725	326	51	these	these	DT
14725	326	52	bodies	body	NNS
14725	326	53	are	be	VBP
14725	326	54	in	in	IN
14725	326	55	turn	turn	NN
14725	326	56	composed	compose	VBN
14725	326	57	of	of	IN
14725	326	58	still	still	RB
14725	326	59	smaller	small	JJR
14725	326	60	particles	particle	NNS
14725	326	61	,	,	,
14725	326	62	and	and	CC
14725	326	63	so	so	RB
14725	326	64	it	-PRON-	PRP
14725	326	65	will	will	MD
14725	326	66	be	be	VB
14725	326	67	these	these	DT
14725	326	68	secondary	secondary	JJ
14725	326	69	particles	particle	NNS
14725	326	70	which	which	WDT
14725	326	71	will	will	MD
14725	326	72	receive	receive	VB
14725	326	73	the	the	DT
14725	326	74	movement	movement	NN
14725	326	75	from	from	IN
14725	326	76	those	those	DT
14725	326	77	of	of	IN
14725	326	78	the	the	DT
14725	326	79	ether	ether	NN
14725	326	80	.	.	.
14725	327	1	Furthermore	furthermore	RB
14725	327	2	,	,	,
14725	327	3	if	if	IN
14725	327	4	the	the	DT
14725	327	5	particles	particle	NNS
14725	327	6	of	of	IN
14725	327	7	transparent	transparent	JJ
14725	327	8	bodies	body	NNS
14725	327	9	have	have	VBP
14725	327	10	a	a	DT
14725	327	11	recoil	recoil	NN
14725	327	12	a	a	DT
14725	327	13	little	little	JJ
14725	327	14	less	less	RBR
14725	327	15	prompt	prompt	JJ
14725	327	16	than	than	IN
14725	327	17	that	that	DT
14725	327	18	of	of	IN
14725	327	19	the	the	DT
14725	327	20	ethereal	ethereal	JJ
14725	327	21	particles	particle	NNS
14725	327	22	,	,	,
14725	327	23	which	which	WDT
14725	327	24	nothing	nothing	NN
14725	327	25	hinders	hinder	VBZ
14725	327	26	us	-PRON-	PRP
14725	327	27	from	from	IN
14725	327	28	supposing	suppose	VBG
14725	327	29	,	,	,
14725	327	30	it	-PRON-	PRP
14725	327	31	will	will	MD
14725	327	32	again	again	RB
14725	327	33	follow	follow	VB
14725	327	34	that	that	IN
14725	327	35	the	the	DT
14725	327	36	progression	progression	NN
14725	327	37	of	of	IN
14725	327	38	the	the	DT
14725	327	39	waves	wave	NNS
14725	327	40	of	of	IN
14725	327	41	light	light	NN
14725	327	42	will	will	MD
14725	327	43	be	be	VB
14725	327	44	slower	slow	JJR
14725	327	45	in	in	IN
14725	327	46	the	the	DT
14725	327	47	interior	interior	NN
14725	327	48	of	of	IN
14725	327	49	such	such	JJ
14725	327	50	bodies	body	NNS
14725	327	51	than	than	IN
14725	327	52	it	-PRON-	PRP
14725	327	53	is	be	VBZ
14725	327	54	outside	outside	RB
14725	327	55	in	in	IN
14725	327	56	the	the	DT
14725	327	57	ethereal	ethereal	JJ
14725	327	58	matter	matter	NN
14725	327	59	.	.	.
14725	328	1	All	all	DT
14725	328	2	this	this	DT
14725	328	3	I	-PRON-	PRP
14725	328	4	have	have	VBP
14725	328	5	found	find	VBN
14725	328	6	as	as	IN
14725	328	7	most	most	RBS
14725	328	8	probable	probable	JJ
14725	328	9	for	for	IN
14725	328	10	the	the	DT
14725	328	11	mode	mode	NN
14725	328	12	in	in	IN
14725	328	13	which	which	WDT
14725	328	14	the	the	DT
14725	328	15	waves	wave	NNS
14725	328	16	of	of	IN
14725	328	17	light	light	JJ
14725	328	18	pass	pass	NN
14725	328	19	across	across	IN
14725	328	20	transparent	transparent	JJ
14725	328	21	bodies	body	NNS
14725	328	22	.	.	.
14725	329	1	To	to	TO
14725	329	2	which	which	WDT
14725	329	3	it	-PRON-	PRP
14725	329	4	must	must	MD
14725	329	5	further	further	RB
14725	329	6	be	be	VB
14725	329	7	added	add	VBN
14725	329	8	in	in	IN
14725	329	9	what	what	WDT
14725	329	10	respect	respect	NN
14725	329	11	these	these	DT
14725	329	12	bodies	body	NNS
14725	329	13	differ	differ	VBP
14725	329	14	from	from	IN
14725	329	15	those	those	DT
14725	329	16	which	which	WDT
14725	329	17	are	be	VBP
14725	329	18	opaque	opaque	JJ
14725	329	19	;	;	:
14725	329	20	and	and	CC
14725	329	21	the	the	DT
14725	329	22	more	more	RBR
14725	329	23	so	so	RB
14725	329	24	since	since	IN
14725	329	25	it	-PRON-	PRP
14725	329	26	might	may	MD
14725	329	27	seem	seem	VB
14725	329	28	because	because	IN
14725	329	29	of	of	IN
14725	329	30	the	the	DT
14725	329	31	easy	easy	JJ
14725	329	32	penetration	penetration	NN
14725	329	33	of	of	IN
14725	329	34	bodies	body	NNS
14725	329	35	by	by	IN
14725	329	36	the	the	DT
14725	329	37	ethereal	ethereal	JJ
14725	329	38	matter	matter	NN
14725	329	39	,	,	,
14725	329	40	of	of	IN
14725	329	41	which	which	WDT
14725	329	42	mention	mention	NN
14725	329	43	has	have	VBZ
14725	329	44	been	be	VBN
14725	329	45	made	make	VBN
14725	329	46	,	,	,
14725	329	47	that	that	IN
14725	329	48	there	there	EX
14725	329	49	would	would	MD
14725	329	50	not	not	RB
14725	329	51	be	be	VB
14725	329	52	any	any	DT
14725	329	53	body	body	NN
14725	329	54	that	that	WDT
14725	329	55	was	be	VBD
14725	329	56	not	not	RB
14725	329	57	transparent	transparent	JJ
14725	329	58	.	.	.
14725	330	1	For	for	IN
14725	330	2	by	by	IN
14725	330	3	the	the	DT
14725	330	4	same	same	JJ
14725	330	5	reasoning	reasoning	NN
14725	330	6	about	about	IN
14725	330	7	the	the	DT
14725	330	8	hollow	hollow	JJ
14725	330	9	sphere	sphere	NN
14725	330	10	which	which	WDT
14725	330	11	I	-PRON-	PRP
14725	330	12	have	have	VBP
14725	330	13	employed	employ	VBN
14725	330	14	to	to	TO
14725	330	15	prove	prove	VB
14725	330	16	the	the	DT
14725	330	17	smallness	smallness	NN
14725	330	18	of	of	IN
14725	330	19	the	the	DT
14725	330	20	density	density	NN
14725	330	21	of	of	IN
14725	330	22	glass	glass	NN
14725	330	23	and	and	CC
14725	330	24	its	-PRON-	PRP$
14725	330	25	easy	easy	JJ
14725	330	26	penetrability	penetrability	NN
14725	330	27	by	by	IN
14725	330	28	the	the	DT
14725	330	29	ethereal	ethereal	JJ
14725	330	30	matter	matter	NN
14725	330	31	,	,	,
14725	330	32	one	one	PRP
14725	330	33	might	may	MD
14725	330	34	also	also	RB
14725	330	35	prove	prove	VB
14725	330	36	that	that	IN
14725	330	37	the	the	DT
14725	330	38	same	same	JJ
14725	330	39	penetrability	penetrability	NN
14725	330	40	obtains	obtain	NNS
14725	330	41	for	for	IN
14725	330	42	metals	metal	NNS
14725	330	43	and	and	CC
14725	330	44	for	for	IN
14725	330	45	every	every	DT
14725	330	46	other	other	JJ
14725	330	47	sort	sort	NN
14725	330	48	of	of	IN
14725	330	49	body	body	NN
14725	330	50	.	.	.
14725	331	1	For	for	IN
14725	331	2	this	this	DT
14725	331	3	sphere	sphere	NN
14725	331	4	being	be	VBG
14725	331	5	for	for	IN
14725	331	6	example	example	NN
14725	331	7	of	of	IN
14725	331	8	silver	silver	NN
14725	331	9	,	,	,
14725	331	10	it	-PRON-	PRP
14725	331	11	is	be	VBZ
14725	331	12	certain	certain	JJ
14725	331	13	that	that	IN
14725	331	14	it	-PRON-	PRP
14725	331	15	contains	contain	VBZ
14725	331	16	some	some	DT
14725	331	17	of	of	IN
14725	331	18	the	the	DT
14725	331	19	ethereal	ethereal	JJ
14725	331	20	matter	matter	NN
14725	331	21	which	which	WDT
14725	331	22	serves	serve	VBZ
14725	331	23	for	for	IN
14725	331	24	light	light	NN
14725	331	25	,	,	,
14725	331	26	since	since	IN
14725	331	27	this	this	DT
14725	331	28	was	be	VBD
14725	331	29	there	there	RB
14725	331	30	as	as	RB
14725	331	31	well	well	RB
14725	331	32	as	as	IN
14725	331	33	in	in	IN
14725	331	34	the	the	DT
14725	331	35	air	air	NN
14725	331	36	when	when	WRB
14725	331	37	the	the	DT
14725	331	38	opening	opening	NN
14725	331	39	of	of	IN
14725	331	40	the	the	DT
14725	331	41	sphere	sphere	NN
14725	331	42	was	be	VBD
14725	331	43	closed	close	VBN
14725	331	44	.	.	.
14725	332	1	Yet	yet	RB
14725	332	2	,	,	,
14725	332	3	being	be	VBG
14725	332	4	closed	close	VBN
14725	332	5	and	and	CC
14725	332	6	placed	place	VBN
14725	332	7	upon	upon	IN
14725	332	8	a	a	DT
14725	332	9	horizontal	horizontal	JJ
14725	332	10	plane	plane	NN
14725	332	11	,	,	,
14725	332	12	it	-PRON-	PRP
14725	332	13	resists	resist	VBZ
14725	332	14	the	the	DT
14725	332	15	movement	movement	NN
14725	332	16	which	which	WDT
14725	332	17	one	one	PRP
14725	332	18	wishes	wish	VBZ
14725	332	19	to	to	TO
14725	332	20	give	give	VB
14725	332	21	to	to	IN
14725	332	22	it	-PRON-	PRP
14725	332	23	,	,	,
14725	332	24	merely	merely	RB
14725	332	25	according	accord	VBG
14725	332	26	to	to	IN
14725	332	27	the	the	DT
14725	332	28	quantity	quantity	NN
14725	332	29	of	of	IN
14725	332	30	silver	silver	NN
14725	332	31	of	of	IN
14725	332	32	which	which	WDT
14725	332	33	it	-PRON-	PRP
14725	332	34	is	be	VBZ
14725	332	35	made	make	VBN
14725	332	36	;	;	:
14725	332	37	so	so	IN
14725	332	38	that	that	IN
14725	332	39	one	one	PRP
14725	332	40	must	must	MD
14725	332	41	conclude	conclude	VB
14725	332	42	,	,	,
14725	332	43	as	as	IN
14725	332	44	above	above	RB
14725	332	45	,	,	,
14725	332	46	that	that	IN
14725	332	47	the	the	DT
14725	332	48	ethereal	ethereal	JJ
14725	332	49	matter	matter	NN
14725	332	50	which	which	WDT
14725	332	51	is	be	VBZ
14725	332	52	enclosed	enclose	VBN
14725	332	53	does	do	VBZ
14725	332	54	not	not	RB
14725	332	55	follow	follow	VB
14725	332	56	the	the	DT
14725	332	57	movement	movement	NN
14725	332	58	of	of	IN
14725	332	59	the	the	DT
14725	332	60	sphere	sphere	NN
14725	332	61	;	;	:
14725	332	62	and	and	CC
14725	332	63	that	that	IN
14725	332	64	therefore	therefore	RB
14725	332	65	silver	silver	NN
14725	332	66	,	,	,
14725	332	67	as	as	RB
14725	332	68	well	well	RB
14725	332	69	as	as	IN
14725	332	70	glass	glass	NN
14725	332	71	,	,	,
14725	332	72	is	be	VBZ
14725	332	73	very	very	RB
14725	332	74	easily	easily	RB
14725	332	75	penetrated	penetrate	VBN
14725	332	76	by	by	IN
14725	332	77	this	this	DT
14725	332	78	matter	matter	NN
14725	332	79	.	.	.
14725	333	1	Some	some	DT
14725	333	2	of	of	IN
14725	333	3	it	-PRON-	PRP
14725	333	4	is	be	VBZ
14725	333	5	therefore	therefore	RB
14725	333	6	present	present	JJ
14725	333	7	continuously	continuously	RB
14725	333	8	and	and	CC
14725	333	9	in	in	IN
14725	333	10	quantities	quantity	NNS
14725	333	11	between	between	IN
14725	333	12	the	the	DT
14725	333	13	particles	particle	NNS
14725	333	14	of	of	IN
14725	333	15	silver	silver	NN
14725	333	16	and	and	CC
14725	333	17	of	of	IN
14725	333	18	all	all	DT
14725	333	19	other	other	JJ
14725	333	20	opaque	opaque	JJ
14725	333	21	bodies	body	NNS
14725	333	22	:	:	:
14725	333	23	and	and	CC
14725	333	24	since	since	IN
14725	333	25	it	-PRON-	PRP
14725	333	26	serves	serve	VBZ
14725	333	27	for	for	IN
14725	333	28	the	the	DT
14725	333	29	propagation	propagation	NN
14725	333	30	of	of	IN
14725	333	31	light	light	NN
14725	333	32	it	-PRON-	PRP
14725	333	33	would	would	MD
14725	333	34	seem	seem	VB
14725	333	35	that	that	IN
14725	333	36	these	these	DT
14725	333	37	bodies	body	NNS
14725	333	38	ought	ought	MD
14725	333	39	also	also	RB
14725	333	40	to	to	TO
14725	333	41	be	be	VB
14725	333	42	transparent	transparent	JJ
14725	333	43	,	,	,
14725	333	44	which	which	WDT
14725	333	45	however	however	RB
14725	333	46	is	be	VBZ
14725	333	47	not	not	RB
14725	333	48	the	the	DT
14725	333	49	case	case	NN
14725	333	50	.	.	.
14725	334	1	Whence	whence	NN
14725	334	2	then	then	RB
14725	334	3	,	,	,
14725	334	4	one	one	PRP
14725	334	5	will	will	MD
14725	334	6	say	say	VB
14725	334	7	,	,	,
14725	334	8	does	do	VBZ
14725	334	9	their	-PRON-	PRP$
14725	334	10	opacity	opacity	NN
14725	334	11	come	come	VB
14725	334	12	?	?	.
14725	335	1	Is	be	VBZ
14725	335	2	it	-PRON-	PRP
14725	335	3	because	because	IN
14725	335	4	the	the	DT
14725	335	5	particles	particle	NNS
14725	335	6	which	which	WDT
14725	335	7	compose	compose	VBP
14725	335	8	them	-PRON-	PRP
14725	335	9	are	be	VBP
14725	335	10	soft	soft	JJ
14725	335	11	;	;	:
14725	335	12	that	that	DT
14725	335	13	is	be	VBZ
14725	335	14	to	to	TO
14725	335	15	say	say	VB
14725	335	16	,	,	,
14725	335	17	these	these	DT
14725	335	18	particles	particle	NNS
14725	335	19	being	be	VBG
14725	335	20	composed	compose	VBN
14725	335	21	of	of	IN
14725	335	22	others	other	NNS
14725	335	23	that	that	WDT
14725	335	24	are	be	VBP
14725	335	25	smaller	small	JJR
14725	335	26	,	,	,
14725	335	27	are	be	VBP
14725	335	28	they	-PRON-	PRP
14725	335	29	capable	capable	JJ
14725	335	30	of	of	IN
14725	335	31	changing	change	VBG
14725	335	32	their	-PRON-	PRP$
14725	335	33	figure	figure	NN
14725	335	34	on	on	IN
14725	335	35	receiving	receive	VBG
14725	335	36	the	the	DT
14725	335	37	pressure	pressure	NN
14725	335	38	of	of	IN
14725	335	39	the	the	DT
14725	335	40	ethereal	ethereal	JJ
14725	335	41	particles	particle	NNS
14725	335	42	,	,	,
14725	335	43	the	the	DT
14725	335	44	motion	motion	NN
14725	335	45	of	of	IN
14725	335	46	which	which	WDT
14725	335	47	they	-PRON-	PRP
14725	335	48	thereby	thereby	RB
14725	335	49	damp	damp	VBP
14725	335	50	,	,	,
14725	335	51	and	and	CC
14725	335	52	so	so	RB
14725	335	53	hinder	hinder	VB
14725	335	54	the	the	DT
14725	335	55	continuance	continuance	NN
14725	335	56	of	of	IN
14725	335	57	the	the	DT
14725	335	58	waves	wave	NNS
14725	335	59	of	of	IN
14725	335	60	light	light	NN
14725	335	61	?	?	.
14725	336	1	That	that	DT
14725	336	2	can	can	MD
14725	336	3	not	not	RB
14725	336	4	be	be	VB
14725	336	5	:	:	:
14725	336	6	for	for	IN
14725	336	7	if	if	IN
14725	336	8	the	the	DT
14725	336	9	particles	particle	NNS
14725	336	10	of	of	IN
14725	336	11	the	the	DT
14725	336	12	metals	metal	NNS
14725	336	13	are	be	VBP
14725	336	14	soft	soft	JJ
14725	336	15	,	,	,
14725	336	16	how	how	WRB
14725	336	17	is	be	VBZ
14725	336	18	it	-PRON-	PRP
14725	336	19	that	that	WDT
14725	336	20	polished	polish	VBD
14725	336	21	silver	silver	NN
14725	336	22	and	and	CC
14725	336	23	mercury	mercury	NN
14725	336	24	reflect	reflect	VBP
14725	336	25	light	light	NN
14725	336	26	so	so	RB
14725	336	27	strongly	strongly	RB
14725	336	28	?	?	.
14725	337	1	What	what	WP
14725	337	2	I	-PRON-	PRP
14725	337	3	find	find	VBP
14725	337	4	to	to	TO
14725	337	5	be	be	VB
14725	337	6	most	most	RBS
14725	337	7	probable	probable	JJ
14725	337	8	herein	herein	NN
14725	337	9	,	,	,
14725	337	10	is	be	VBZ
14725	337	11	to	to	TO
14725	337	12	say	say	VB
14725	337	13	that	that	IN
14725	337	14	metallic	metallic	JJ
14725	337	15	bodies	body	NNS
14725	337	16	,	,	,
14725	337	17	which	which	WDT
14725	337	18	are	be	VBP
14725	337	19	almost	almost	RB
14725	337	20	the	the	DT
14725	337	21	only	only	JJ
14725	337	22	really	really	RB
14725	337	23	opaque	opaque	JJ
14725	337	24	ones	one	NNS
14725	337	25	,	,	,
14725	337	26	have	have	VBP
14725	337	27	mixed	mix	VBN
14725	337	28	amongst	amongst	IN
14725	337	29	their	-PRON-	PRP$
14725	337	30	hard	hard	JJ
14725	337	31	particles	particle	NNS
14725	337	32	some	some	DT
14725	337	33	soft	soft	JJ
14725	337	34	ones	one	NNS
14725	337	35	;	;	:
14725	337	36	so	so	IN
14725	337	37	that	that	IN
14725	337	38	some	some	DT
14725	337	39	serve	serve	VBP
14725	337	40	to	to	TO
14725	337	41	cause	cause	VB
14725	337	42	reflexion	reflexion	NN
14725	337	43	and	and	CC
14725	337	44	the	the	DT
14725	337	45	others	other	NNS
14725	337	46	to	to	TO
14725	337	47	hinder	hinder	VB
14725	337	48	transparency	transparency	NN
14725	337	49	;	;	:
14725	337	50	while	while	IN
14725	337	51	,	,	,
14725	337	52	on	on	IN
14725	337	53	the	the	DT
14725	337	54	other	other	JJ
14725	337	55	hand	hand	NN
14725	337	56	,	,	,
14725	337	57	transparent	transparent	JJ
14725	337	58	bodies	body	NNS
14725	337	59	contain	contain	VBP
14725	337	60	only	only	RB
14725	337	61	hard	hard	JJ
14725	337	62	particles	particle	NNS
14725	337	63	which	which	WDT
14725	337	64	have	have	VBP
14725	337	65	the	the	DT
14725	337	66	faculty	faculty	NN
14725	337	67	of	of	IN
14725	337	68	recoil	recoil	NN
14725	337	69	,	,	,
14725	337	70	and	and	CC
14725	337	71	serve	serve	VB
14725	337	72	together	together	RB
14725	337	73	with	with	IN
14725	337	74	those	those	DT
14725	337	75	of	of	IN
14725	337	76	the	the	DT
14725	337	77	ethereal	ethereal	JJ
14725	337	78	matter	matter	NN
14725	337	79	for	for	IN
14725	337	80	the	the	DT
14725	337	81	propagation	propagation	NN
14725	337	82	of	of	IN
14725	337	83	the	the	DT
14725	337	84	waves	wave	NNS
14725	337	85	of	of	IN
14725	337	86	light	light	NN
14725	337	87	,	,	,
14725	337	88	as	as	IN
14725	337	89	has	have	VBZ
14725	337	90	been	be	VBN
14725	337	91	said	say	VBN
14725	337	92	.	.	.
14725	338	1	[	[	-LRB-
14725	338	2	Illustration	illustration	NN
14725	338	3	]	]	-RRB-
14725	338	4	Let	let	VB
14725	338	5	us	-PRON-	PRP
14725	338	6	pass	pass	VB
14725	338	7	now	now	RB
14725	338	8	to	to	IN
14725	338	9	the	the	DT
14725	338	10	explanation	explanation	NN
14725	338	11	of	of	IN
14725	338	12	the	the	DT
14725	338	13	effects	effect	NNS
14725	338	14	of	of	IN
14725	338	15	Refraction	refraction	NN
14725	338	16	,	,	,
14725	338	17	assuming	assume	VBG
14725	338	18	,	,	,
14725	338	19	as	as	IN
14725	338	20	we	-PRON-	PRP
14725	338	21	have	have	VBP
14725	338	22	done	do	VBN
14725	338	23	,	,	,
14725	338	24	the	the	DT
14725	338	25	passage	passage	NN
14725	338	26	of	of	IN
14725	338	27	waves	wave	NNS
14725	338	28	of	of	IN
14725	338	29	light	light	NN
14725	338	30	through	through	IN
14725	338	31	transparent	transparent	JJ
14725	338	32	bodies	body	NNS
14725	338	33	,	,	,
14725	338	34	and	and	CC
14725	338	35	the	the	DT
14725	338	36	diminution	diminution	NN
14725	338	37	of	of	IN
14725	338	38	velocity	velocity	NN
14725	338	39	which	which	WDT
14725	338	40	these	these	DT
14725	338	41	same	same	JJ
14725	338	42	waves	wave	NNS
14725	338	43	suffer	suffer	VBP
14725	338	44	in	in	IN
14725	338	45	them	-PRON-	PRP
14725	338	46	.	.	.
14725	339	1	The	the	DT
14725	339	2	chief	chief	JJ
14725	339	3	property	property	NN
14725	339	4	of	of	IN
14725	339	5	Refraction	refraction	NN
14725	339	6	is	be	VBZ
14725	339	7	that	that	IN
14725	339	8	a	a	DT
14725	339	9	ray	ray	NN
14725	339	10	of	of	IN
14725	339	11	light	light	NN
14725	339	12	,	,	,
14725	339	13	such	such	JJ
14725	339	14	as	as	IN
14725	339	15	AB	AB	NNP
14725	339	16	,	,	,
14725	339	17	being	be	VBG
14725	339	18	in	in	IN
14725	339	19	the	the	DT
14725	339	20	air	air	NN
14725	339	21	,	,	,
14725	339	22	and	and	CC
14725	339	23	falling	fall	VBG
14725	339	24	obliquely	obliquely	RB
14725	339	25	upon	upon	IN
14725	339	26	the	the	DT
14725	339	27	polished	polished	JJ
14725	339	28	surface	surface	NN
14725	339	29	of	of	IN
14725	339	30	a	a	DT
14725	339	31	transparent	transparent	JJ
14725	339	32	body	body	NN
14725	339	33	,	,	,
14725	339	34	such	such	JJ
14725	339	35	as	as	IN
14725	339	36	FG	FG	NNP
14725	339	37	,	,	,
14725	339	38	is	be	VBZ
14725	339	39	broken	break	VBN
14725	339	40	at	at	IN
14725	339	41	the	the	DT
14725	339	42	point	point	NN
14725	339	43	of	of	IN
14725	339	44	incidence	incidence	NN
14725	339	45	B	b	NN
14725	339	46	,	,	,
14725	339	47	in	in	IN
14725	339	48	such	such	PDT
14725	339	49	a	a	DT
14725	339	50	way	way	NN
14725	339	51	that	that	IN
14725	339	52	with	with	IN
14725	339	53	the	the	DT
14725	339	54	straight	straight	JJ
14725	339	55	line	line	NN
14725	339	56	DBE	DBE	NNP
14725	339	57	which	which	WDT
14725	339	58	cuts	cut	VBZ
14725	339	59	the	the	DT
14725	339	60	surface	surface	NN
14725	339	61	perpendicularly	perpendicularly	RB
14725	339	62	it	-PRON-	PRP
14725	339	63	makes	make	VBZ
14725	339	64	an	an	DT
14725	339	65	angle	angle	NN
14725	339	66	CBE	cbe	NN
14725	339	67	less	less	JJR
14725	339	68	than	than	IN
14725	339	69	ABD	ABD	NNP
14725	339	70	which	which	WDT
14725	339	71	it	-PRON-	PRP
14725	339	72	made	make	VBD
14725	339	73	with	with	IN
14725	339	74	the	the	DT
14725	339	75	same	same	JJ
14725	339	76	perpendicular	perpendicular	NN
14725	339	77	when	when	WRB
14725	339	78	in	in	IN
14725	339	79	the	the	DT
14725	339	80	air	air	NN
14725	339	81	.	.	.
14725	340	1	And	and	CC
14725	340	2	the	the	DT
14725	340	3	measure	measure	NN
14725	340	4	of	of	IN
14725	340	5	these	these	DT
14725	340	6	angles	angle	NNS
14725	340	7	is	be	VBZ
14725	340	8	found	find	VBN
14725	340	9	by	by	IN
14725	340	10	describing	describe	VBG
14725	340	11	,	,	,
14725	340	12	about	about	IN
14725	340	13	the	the	DT
14725	340	14	point	point	NN
14725	340	15	B	b	NN
14725	340	16	,	,	,
14725	340	17	a	a	DT
14725	340	18	circle	circle	NN
14725	340	19	which	which	WDT
14725	340	20	cuts	cut	VBZ
14725	340	21	the	the	DT
14725	340	22	radii	radii	JJ
14725	340	23	AB	AB	NNP
14725	340	24	,	,	,
14725	340	25	BC	BC	NNP
14725	340	26	.	.	.
14725	341	1	For	for	IN
14725	341	2	the	the	DT
14725	341	3	perpendiculars	perpendicular	NNS
14725	341	4	AD	AD	NNP
14725	341	5	,	,	,
14725	341	6	CE	CE	NNP
14725	341	7	,	,	,
14725	341	8	let	let	VB
14725	341	9	fall	fall	VB
14725	341	10	from	from	IN
14725	341	11	the	the	DT
14725	341	12	points	point	NNS
14725	341	13	of	of	IN
14725	341	14	intersection	intersection	NN
14725	341	15	upon	upon	IN
14725	341	16	the	the	DT
14725	341	17	straight	straight	JJ
14725	341	18	line	line	NN
14725	341	19	DE	de	NN
14725	341	20	,	,	,
14725	341	21	which	which	WDT
14725	341	22	are	be	VBP
14725	341	23	called	call	VBN
14725	341	24	the	the	DT
14725	341	25	Sines	Sines	NNPS
14725	341	26	of	of	IN
14725	341	27	the	the	DT
14725	341	28	angles	angle	NNS
14725	341	29	ABD	ABD	NNP
14725	341	30	,	,	,
14725	341	31	CBE	CBE	NNP
14725	341	32	,	,	,
14725	341	33	have	have	VBP
14725	341	34	a	a	DT
14725	341	35	certain	certain	JJ
14725	341	36	ratio	ratio	NN
14725	341	37	between	between	IN
14725	341	38	themselves	-PRON-	PRP
14725	341	39	;	;	:
14725	341	40	which	which	WDT
14725	341	41	ratio	ratio	NN
14725	341	42	is	be	VBZ
14725	341	43	always	always	RB
14725	341	44	the	the	DT
14725	341	45	same	same	JJ
14725	341	46	for	for	IN
14725	341	47	all	all	DT
14725	341	48	inclinations	inclination	NNS
14725	341	49	of	of	IN
14725	341	50	the	the	DT
14725	341	51	incident	incident	NN
14725	341	52	ray	ray	NN
14725	341	53	,	,	,
14725	341	54	at	at	IN
14725	341	55	least	least	JJS
14725	341	56	for	for	IN
14725	341	57	a	a	DT
14725	341	58	given	give	VBN
14725	341	59	transparent	transparent	JJ
14725	341	60	body	body	NN
14725	341	61	.	.	.
14725	342	1	This	this	DT
14725	342	2	ratio	ratio	NN
14725	342	3	is	be	VBZ
14725	342	4	,	,	,
14725	342	5	in	in	IN
14725	342	6	glass	glass	NN
14725	342	7	,	,	,
14725	342	8	very	very	RB
14725	342	9	nearly	nearly	RB
14725	342	10	as	as	IN
14725	342	11	3	3	CD
14725	342	12	to	to	IN
14725	342	13	2	2	CD
14725	342	14	;	;	:
14725	342	15	and	and	CC
14725	342	16	in	in	IN
14725	342	17	water	water	NN
14725	342	18	very	very	RB
14725	342	19	nearly	nearly	RB
14725	342	20	as	as	IN
14725	342	21	4	4	CD
14725	342	22	to	to	IN
14725	342	23	3	3	CD
14725	342	24	;	;	:
14725	342	25	and	and	CC
14725	342	26	is	be	VBZ
14725	342	27	likewise	likewise	RB
14725	342	28	different	different	JJ
14725	342	29	in	in	IN
14725	342	30	other	other	JJ
14725	342	31	diaphanous	diaphanous	JJ
14725	342	32	bodies	body	NNS
14725	342	33	.	.	.
14725	343	1	Another	another	DT
14725	343	2	property	property	NN
14725	343	3	,	,	,
14725	343	4	similar	similar	JJ
14725	343	5	to	to	IN
14725	343	6	this	this	DT
14725	343	7	,	,	,
14725	343	8	is	be	VBZ
14725	343	9	that	that	IN
14725	343	10	the	the	DT
14725	343	11	refractions	refraction	NNS
14725	343	12	are	be	VBP
14725	343	13	reciprocal	reciprocal	JJ
14725	343	14	between	between	IN
14725	343	15	the	the	DT
14725	343	16	rays	ray	NNS
14725	343	17	entering	enter	VBG
14725	343	18	into	into	IN
14725	343	19	a	a	DT
14725	343	20	transparent	transparent	JJ
14725	343	21	body	body	NN
14725	343	22	and	and	CC
14725	343	23	those	those	DT
14725	343	24	which	which	WDT
14725	343	25	are	be	VBP
14725	343	26	leaving	leave	VBG
14725	343	27	it	-PRON-	PRP
14725	343	28	.	.	.
14725	344	1	That	that	DT
14725	344	2	is	be	VBZ
14725	344	3	to	to	TO
14725	344	4	say	say	VB
14725	344	5	that	that	IN
14725	344	6	if	if	IN
14725	344	7	the	the	DT
14725	344	8	ray	ray	NN
14725	344	9	AB	AB	NNP
14725	344	10	in	in	IN
14725	344	11	entering	enter	VBG
14725	344	12	the	the	DT
14725	344	13	transparent	transparent	JJ
14725	344	14	body	body	NN
14725	344	15	is	be	VBZ
14725	344	16	refracted	refract	VBN
14725	344	17	into	into	IN
14725	344	18	BC	BC	NNP
14725	344	19	,	,	,
14725	344	20	then	then	RB
14725	344	21	likewise	likewise	RB
14725	344	22	CB	CB	NNP
14725	344	23	being	be	VBG
14725	344	24	taken	take	VBN
14725	344	25	as	as	IN
14725	344	26	a	a	DT
14725	344	27	ray	ray	NN
14725	344	28	in	in	IN
14725	344	29	the	the	DT
14725	344	30	interior	interior	NN
14725	344	31	of	of	IN
14725	344	32	this	this	DT
14725	344	33	body	body	NN
14725	344	34	will	will	MD
14725	344	35	be	be	VB
14725	344	36	refracted	refract	VBN
14725	344	37	,	,	,
14725	344	38	on	on	IN
14725	344	39	passing	pass	VBG
14725	344	40	out	out	RP
14725	344	41	,	,	,
14725	344	42	into	into	IN
14725	344	43	BA	BA	NNP
14725	344	44	.	.	.
14725	345	1	[	[	-LRB-
14725	345	2	Illustration	illustration	NN
14725	345	3	]	]	-RRB-
14725	345	4	To	to	TO
14725	345	5	explain	explain	VB
14725	345	6	then	then	RB
14725	345	7	the	the	DT
14725	345	8	reasons	reason	NNS
14725	345	9	of	of	IN
14725	345	10	these	these	DT
14725	345	11	phenomena	phenomenon	NNS
14725	345	12	according	accord	VBG
14725	345	13	to	to	IN
14725	345	14	our	-PRON-	PRP$
14725	345	15	principles	principle	NNS
14725	345	16	,	,	,
14725	345	17	let	let	VB
14725	345	18	AB	AB	NNP
14725	345	19	be	be	VB
14725	345	20	the	the	DT
14725	345	21	straight	straight	JJ
14725	345	22	line	line	NN
14725	345	23	which	which	WDT
14725	345	24	represents	represent	VBZ
14725	345	25	a	a	DT
14725	345	26	plane	plane	NN
14725	345	27	surface	surface	NN
14725	345	28	bounding	bound	VBG
14725	345	29	the	the	DT
14725	345	30	transparent	transparent	JJ
14725	345	31	substances	substance	NNS
14725	345	32	which	which	WDT
14725	345	33	lie	lie	VBP
14725	345	34	towards	towards	IN
14725	345	35	C	c	NN
14725	345	36	and	and	CC
14725	345	37	towards	towards	IN
14725	345	38	N.	N.	NNP
14725	345	39	When	when	WRB
14725	345	40	I	-PRON-	PRP
14725	345	41	say	say	VBP
14725	345	42	plane	plane	NN
14725	345	43	,	,	,
14725	345	44	that	that	WDT
14725	345	45	does	do	VBZ
14725	345	46	not	not	RB
14725	345	47	signify	signify	VB
14725	345	48	a	a	DT
14725	345	49	perfect	perfect	JJ
14725	345	50	evenness	evenness	NN
14725	345	51	,	,	,
14725	345	52	but	but	CC
14725	345	53	such	such	JJ
14725	345	54	as	as	IN
14725	345	55	has	have	VBZ
14725	345	56	been	be	VBN
14725	345	57	understood	understand	VBN
14725	345	58	in	in	IN
14725	345	59	treating	treating	NN
14725	345	60	of	of	IN
14725	345	61	reflexion	reflexion	NN
14725	345	62	,	,	,
14725	345	63	and	and	CC
14725	345	64	for	for	IN
14725	345	65	the	the	DT
14725	345	66	same	same	JJ
14725	345	67	reason	reason	NN
14725	345	68	.	.	.
14725	346	1	Let	let	VB
14725	346	2	the	the	DT
14725	346	3	line	line	NN
14725	346	4	AC	AC	NNP
14725	346	5	represent	represent	VB
14725	346	6	a	a	DT
14725	346	7	portion	portion	NN
14725	346	8	of	of	IN
14725	346	9	a	a	DT
14725	346	10	wave	wave	NN
14725	346	11	of	of	IN
14725	346	12	light	light	NN
14725	346	13	,	,	,
14725	346	14	the	the	DT
14725	346	15	centre	centre	NN
14725	346	16	of	of	IN
14725	346	17	which	which	WDT
14725	346	18	is	be	VBZ
14725	346	19	supposed	suppose	VBN
14725	346	20	so	so	RB
14725	346	21	distant	distant	JJ
14725	346	22	that	that	IN
14725	346	23	this	this	DT
14725	346	24	portion	portion	NN
14725	346	25	may	may	MD
14725	346	26	be	be	VB
14725	346	27	considered	consider	VBN
14725	346	28	as	as	IN
14725	346	29	a	a	DT
14725	346	30	straight	straight	JJ
14725	346	31	line	line	NN
14725	346	32	.	.	.
14725	347	1	The	the	DT
14725	347	2	piece	piece	NN
14725	347	3	C	c	NN
14725	347	4	,	,	,
14725	347	5	then	then	RB
14725	347	6	,	,	,
14725	347	7	of	of	IN
14725	347	8	the	the	DT
14725	347	9	wave	wave	NN
14725	347	10	AC	AC	NNP
14725	347	11	,	,	,
14725	347	12	will	will	MD
14725	347	13	in	in	IN
14725	347	14	a	a	DT
14725	347	15	certain	certain	JJ
14725	347	16	space	space	NN
14725	347	17	of	of	IN
14725	347	18	time	time	NN
14725	347	19	have	have	VBP
14725	347	20	advanced	advance	VBN
14725	347	21	as	as	RB
14725	347	22	far	far	RB
14725	347	23	as	as	IN
14725	347	24	the	the	DT
14725	347	25	plane	plane	NN
14725	347	26	AB	ab	NN
14725	347	27	following	follow	VBG
14725	347	28	the	the	DT
14725	347	29	straight	straight	JJ
14725	347	30	line	line	NN
14725	347	31	CB	CB	NNP
14725	347	32	,	,	,
14725	347	33	which	which	WDT
14725	347	34	may	may	MD
14725	347	35	be	be	VB
14725	347	36	imagined	imagine	VBN
14725	347	37	as	as	IN
14725	347	38	coming	come	VBG
14725	347	39	from	from	IN
14725	347	40	the	the	DT
14725	347	41	luminous	luminous	JJ
14725	347	42	centre	centre	NN
14725	347	43	,	,	,
14725	347	44	and	and	CC
14725	347	45	which	which	WDT
14725	347	46	consequently	consequently	RB
14725	347	47	will	will	MD
14725	347	48	cut	cut	VB
14725	347	49	AC	AC	NNP
14725	347	50	at	at	IN
14725	347	51	right	right	JJ
14725	347	52	angles	angle	NNS
14725	347	53	.	.	.
14725	348	1	Now	now	RB
14725	348	2	in	in	IN
14725	348	3	the	the	DT
14725	348	4	same	same	JJ
14725	348	5	time	time	NN
14725	348	6	the	the	DT
14725	348	7	piece	piece	NN
14725	348	8	A	A	NNP
14725	348	9	would	would	MD
14725	348	10	have	have	VB
14725	348	11	come	come	VBN
14725	348	12	to	to	IN
14725	348	13	G	g	NN
14725	348	14	along	along	IN
14725	348	15	the	the	DT
14725	348	16	straight	straight	JJ
14725	348	17	line	line	NN
14725	348	18	AG	AG	NNP
14725	348	19	,	,	,
14725	348	20	equal	equal	JJ
14725	348	21	and	and	CC
14725	348	22	parallel	parallel	JJ
14725	348	23	to	to	IN
14725	348	24	CB	CB	NNP
14725	348	25	;	;	:
14725	348	26	and	and	CC
14725	348	27	all	all	PDT
14725	348	28	the	the	DT
14725	348	29	portion	portion	NN
14725	348	30	of	of	IN
14725	348	31	wave	wave	NN
14725	348	32	AC	AC	NNP
14725	348	33	would	would	MD
14725	348	34	be	be	VB
14725	348	35	at	at	IN
14725	348	36	GB	GB	NNP
14725	348	37	if	if	IN
14725	348	38	the	the	DT
14725	348	39	matter	matter	NN
14725	348	40	of	of	IN
14725	348	41	the	the	DT
14725	348	42	transparent	transparent	JJ
14725	348	43	body	body	NN
14725	348	44	transmitted	transmit	VBD
14725	348	45	the	the	DT
14725	348	46	movement	movement	NN
14725	348	47	of	of	IN
14725	348	48	the	the	DT
14725	348	49	wave	wave	NN
14725	348	50	as	as	RB
14725	348	51	quickly	quickly	RB
14725	348	52	as	as	IN
14725	348	53	the	the	DT
14725	348	54	matter	matter	NN
14725	348	55	of	of	IN
14725	348	56	the	the	DT
14725	348	57	Ether	Ether	NNP
14725	348	58	.	.	.
14725	349	1	But	but	CC
14725	349	2	let	let	VB
14725	349	3	us	-PRON-	PRP
14725	349	4	suppose	suppose	VB
14725	349	5	that	that	IN
14725	349	6	it	-PRON-	PRP
14725	349	7	transmits	transmit	VBZ
14725	349	8	this	this	DT
14725	349	9	movement	movement	NN
14725	349	10	less	less	RBR
14725	349	11	quickly	quickly	RB
14725	349	12	,	,	,
14725	349	13	by	by	IN
14725	349	14	one	one	CD
14725	349	15	-	-	HYPH
14725	349	16	third	third	NN
14725	349	17	,	,	,
14725	349	18	for	for	IN
14725	349	19	instance	instance	NN
14725	349	20	.	.	.
14725	350	1	Movement	movement	NN
14725	350	2	will	will	MD
14725	350	3	then	then	RB
14725	350	4	be	be	VB
14725	350	5	spread	spread	VBN
14725	350	6	from	from	IN
14725	350	7	the	the	DT
14725	350	8	point	point	NN
14725	350	9	A	a	NN
14725	350	10	,	,	,
14725	350	11	in	in	IN
14725	350	12	the	the	DT
14725	350	13	matter	matter	NN
14725	350	14	of	of	IN
14725	350	15	the	the	DT
14725	350	16	transparent	transparent	JJ
14725	350	17	body	body	NN
14725	350	18	through	through	IN
14725	350	19	a	a	DT
14725	350	20	distance	distance	NN
14725	350	21	equal	equal	JJ
14725	350	22	to	to	IN
14725	350	23	two	two	CD
14725	350	24	-	-	HYPH
14725	350	25	thirds	third	NNS
14725	350	26	of	of	IN
14725	350	27	CB	CB	NNP
14725	350	28	,	,	,
14725	350	29	making	make	VBG
14725	350	30	its	-PRON-	PRP$
14725	350	31	own	own	JJ
14725	350	32	particular	particular	JJ
14725	350	33	spherical	spherical	JJ
14725	350	34	wave	wave	NN
14725	350	35	according	accord	VBG
14725	350	36	to	to	IN
14725	350	37	what	what	WP
14725	350	38	has	have	VBZ
14725	350	39	been	be	VBN
14725	350	40	said	say	VBN
14725	350	41	before	before	RB
14725	350	42	.	.	.
14725	351	1	This	this	DT
14725	351	2	wave	wave	NN
14725	351	3	is	be	VBZ
14725	351	4	then	then	RB
14725	351	5	represented	represent	VBN
14725	351	6	by	by	IN
14725	351	7	the	the	DT
14725	351	8	circumference	circumference	NN
14725	351	9	SNR	SNR	NNP
14725	351	10	,	,	,
14725	351	11	the	the	DT
14725	351	12	centre	centre	NN
14725	351	13	of	of	IN
14725	351	14	which	which	WDT
14725	351	15	is	be	VBZ
14725	351	16	A	a	NN
14725	351	17	,	,	,
14725	351	18	and	and	CC
14725	351	19	its	-PRON-	PRP$
14725	351	20	semi	semi	JJ
14725	351	21	-	-	JJ
14725	351	22	diameter	diameter	NN
14725	351	23	equal	equal	JJ
14725	351	24	to	to	IN
14725	351	25	two	two	CD
14725	351	26	-	-	HYPH
14725	351	27	thirds	third	NNS
14725	351	28	of	of	IN
14725	351	29	CB	CB	NNP
14725	351	30	.	.	.
14725	352	1	Then	then	RB
14725	352	2	if	if	IN
14725	352	3	one	one	CD
14725	352	4	considers	consider	VBZ
14725	352	5	in	in	IN
14725	352	6	order	order	NN
14725	352	7	the	the	DT
14725	352	8	other	other	JJ
14725	352	9	pieces	piece	NNS
14725	352	10	H	h	NN
14725	352	11	of	of	IN
14725	352	12	the	the	DT
14725	352	13	wave	wave	NN
14725	352	14	AC	AC	NNP
14725	352	15	,	,	,
14725	352	16	it	-PRON-	PRP
14725	352	17	appears	appear	VBZ
14725	352	18	that	that	IN
14725	352	19	in	in	IN
14725	352	20	the	the	DT
14725	352	21	same	same	JJ
14725	352	22	time	time	NN
14725	352	23	that	that	WDT
14725	352	24	the	the	DT
14725	352	25	piece	piece	NN
14725	352	26	C	C	NNP
14725	352	27	reaches	reach	VBZ
14725	352	28	B	b	NN
14725	352	29	they	-PRON-	PRP
14725	352	30	will	will	MD
14725	352	31	not	not	RB
14725	352	32	only	only	RB
14725	352	33	have	have	VB
14725	352	34	arrived	arrive	VBN
14725	352	35	at	at	IN
14725	352	36	the	the	DT
14725	352	37	surface	surface	NN
14725	352	38	AB	AB	NNP
14725	352	39	along	along	IN
14725	352	40	the	the	DT
14725	352	41	straight	straight	JJ
14725	352	42	lines	line	NNS
14725	352	43	HK	HK	NNP
14725	352	44	parallel	parallel	NN
14725	352	45	to	to	IN
14725	352	46	CB	CB	NNP
14725	352	47	,	,	,
14725	352	48	but	but	CC
14725	352	49	that	that	IN
14725	352	50	,	,	,
14725	352	51	in	in	IN
14725	352	52	addition	addition	NN
14725	352	53	,	,	,
14725	352	54	they	-PRON-	PRP
14725	352	55	will	will	MD
14725	352	56	have	have	VB
14725	352	57	generated	generate	VBN
14725	352	58	in	in	IN
14725	352	59	the	the	DT
14725	352	60	diaphanous	diaphanous	JJ
14725	352	61	substance	substance	NN
14725	352	62	from	from	IN
14725	352	63	the	the	DT
14725	352	64	centres	centre	NNS
14725	352	65	K	K	NNP
14725	352	66	,	,	,
14725	352	67	partial	partial	JJ
14725	352	68	waves	wave	NNS
14725	352	69	,	,	,
14725	352	70	represented	represent	VBN
14725	352	71	here	here	RB
14725	352	72	by	by	IN
14725	352	73	circumferences	circumference	NNS
14725	352	74	the	the	DT
14725	352	75	semi	semi	JJ
14725	352	76	-	-	NNS
14725	352	77	diameters	diameter	NNS
14725	352	78	of	of	IN
14725	352	79	which	which	WDT
14725	352	80	are	be	VBP
14725	352	81	equal	equal	JJ
14725	352	82	to	to	IN
14725	352	83	two	two	CD
14725	352	84	-	-	HYPH
14725	352	85	thirds	third	NNS
14725	352	86	of	of	IN
14725	352	87	the	the	DT
14725	352	88	lines	line	NNS
14725	352	89	KM	KM	NNP
14725	352	90	,	,	,
14725	352	91	that	that	DT
14725	352	92	is	be	VBZ
14725	352	93	to	to	TO
14725	352	94	say	say	VB
14725	352	95	,	,	,
14725	352	96	to	to	IN
14725	352	97	two	two	CD
14725	352	98	-	-	HYPH
14725	352	99	thirds	third	NNS
14725	352	100	of	of	IN
14725	352	101	the	the	DT
14725	352	102	prolongations	prolongation	NNS
14725	352	103	of	of	IN
14725	352	104	HK	HK	NNP
14725	352	105	down	down	RB
14725	352	106	to	to	IN
14725	352	107	the	the	DT
14725	352	108	straight	straight	JJ
14725	352	109	line	line	NN
14725	352	110	BG	BG	NNP
14725	352	111	;	;	:
14725	352	112	for	for	IN
14725	352	113	these	these	DT
14725	352	114	semi	semi	JJ
14725	352	115	-	-	NNS
14725	352	116	diameters	diameter	NNS
14725	352	117	would	would	MD
14725	352	118	have	have	VB
14725	352	119	been	be	VBN
14725	352	120	equal	equal	JJ
14725	352	121	to	to	IN
14725	352	122	entire	entire	JJ
14725	352	123	lengths	length	NNS
14725	352	124	of	of	IN
14725	352	125	KM	KM	NNP
14725	352	126	if	if	IN
14725	352	127	the	the	DT
14725	352	128	two	two	CD
14725	352	129	transparent	transparent	JJ
14725	352	130	substances	substance	NNS
14725	352	131	had	have	VBD
14725	352	132	been	be	VBN
14725	352	133	of	of	IN
14725	352	134	the	the	DT
14725	352	135	same	same	JJ
14725	352	136	penetrability	penetrability	NN
14725	352	137	.	.	.
14725	353	1	Now	now	RB
14725	353	2	all	all	PDT
14725	353	3	these	these	DT
14725	353	4	circumferences	circumference	NNS
14725	353	5	have	have	VBP
14725	353	6	for	for	IN
14725	353	7	a	a	DT
14725	353	8	common	common	JJ
14725	353	9	tangent	tangent	NN
14725	353	10	the	the	DT
14725	353	11	straight	straight	JJ
14725	353	12	line	line	NN
14725	353	13	BN	BN	NNP
14725	353	14	;	;	:
14725	353	15	namely	namely	RB
14725	353	16	the	the	DT
14725	353	17	same	same	JJ
14725	353	18	line	line	NN
14725	353	19	which	which	WDT
14725	353	20	is	be	VBZ
14725	353	21	drawn	draw	VBN
14725	353	22	as	as	IN
14725	353	23	a	a	DT
14725	353	24	tangent	tangent	NN
14725	353	25	from	from	IN
14725	353	26	the	the	DT
14725	353	27	point	point	NN
14725	353	28	B	b	NN
14725	353	29	to	to	IN
14725	353	30	the	the	DT
14725	353	31	circumference	circumference	NN
14725	353	32	SNR	SNR	NNP
14725	353	33	which	which	WDT
14725	353	34	we	-PRON-	PRP
14725	353	35	considered	consider	VBD
14725	353	36	first	first	RB
14725	353	37	.	.	.
14725	354	1	For	for	IN
14725	354	2	it	-PRON-	PRP
14725	354	3	is	be	VBZ
14725	354	4	easy	easy	JJ
14725	354	5	to	to	TO
14725	354	6	see	see	VB
14725	354	7	that	that	IN
14725	354	8	all	all	PDT
14725	354	9	the	the	DT
14725	354	10	other	other	JJ
14725	354	11	circumferences	circumference	NNS
14725	354	12	will	will	MD
14725	354	13	touch	touch	VB
14725	354	14	the	the	DT
14725	354	15	same	same	JJ
14725	354	16	BN	BN	NNP
14725	354	17	,	,	,
14725	354	18	from	from	IN
14725	354	19	B	b	NN
14725	354	20	up	up	IN
14725	354	21	to	to	IN
14725	354	22	the	the	DT
14725	354	23	point	point	NN
14725	354	24	of	of	IN
14725	354	25	contact	contact	NN
14725	354	26	N	n	NN
14725	354	27	,	,	,
14725	354	28	which	which	WDT
14725	354	29	is	be	VBZ
14725	354	30	the	the	DT
14725	354	31	same	same	JJ
14725	354	32	point	point	NN
14725	354	33	where	where	WRB
14725	354	34	AN	an	DT
14725	354	35	falls	fall	VBZ
14725	354	36	perpendicularly	perpendicularly	RB
14725	354	37	on	on	IN
14725	354	38	BN	BN	NNP
14725	354	39	.	.	.
14725	355	1	It	-PRON-	PRP
14725	355	2	is	be	VBZ
14725	355	3	then	then	RB
14725	355	4	BN	BN	NNP
14725	355	5	,	,	,
14725	355	6	which	which	WDT
14725	355	7	is	be	VBZ
14725	355	8	formed	form	VBN
14725	355	9	by	by	IN
14725	355	10	small	small	JJ
14725	355	11	arcs	arc	NNS
14725	355	12	of	of	IN
14725	355	13	these	these	DT
14725	355	14	circumferences	circumference	NNS
14725	355	15	,	,	,
14725	355	16	which	which	WDT
14725	355	17	terminates	terminate	VBZ
14725	355	18	the	the	DT
14725	355	19	movement	movement	NN
14725	355	20	that	that	WDT
14725	355	21	the	the	DT
14725	355	22	wave	wave	NN
14725	355	23	AC	AC	NNP
14725	355	24	has	have	VBZ
14725	355	25	communicated	communicate	VBN
14725	355	26	within	within	IN
14725	355	27	the	the	DT
14725	355	28	transparent	transparent	JJ
14725	355	29	body	body	NN
14725	355	30	,	,	,
14725	355	31	and	and	CC
14725	355	32	where	where	WRB
14725	355	33	this	this	DT
14725	355	34	movement	movement	NN
14725	355	35	occurs	occur	VBZ
14725	355	36	in	in	RB
14725	355	37	much	much	RB
14725	355	38	greater	great	JJR
14725	355	39	amount	amount	NN
14725	355	40	than	than	IN
14725	355	41	anywhere	anywhere	RB
14725	355	42	else	else	RB
14725	355	43	.	.	.
14725	356	1	And	and	CC
14725	356	2	for	for	IN
14725	356	3	that	that	DT
14725	356	4	reason	reason	NN
14725	356	5	this	this	DT
14725	356	6	line	line	NN
14725	356	7	,	,	,
14725	356	8	in	in	IN
14725	356	9	accordance	accordance	NN
14725	356	10	with	with	IN
14725	356	11	what	what	WP
14725	356	12	has	have	VBZ
14725	356	13	been	be	VBN
14725	356	14	said	say	VBN
14725	356	15	more	more	RBR
14725	356	16	than	than	IN
14725	356	17	once	once	RB
14725	356	18	,	,	,
14725	356	19	is	be	VBZ
14725	356	20	the	the	DT
14725	356	21	propagation	propagation	NN
14725	356	22	of	of	IN
14725	356	23	the	the	DT
14725	356	24	wave	wave	NN
14725	356	25	AC	AC	NNP
14725	356	26	at	at	IN
14725	356	27	the	the	DT
14725	356	28	moment	moment	NN
14725	356	29	when	when	WRB
14725	356	30	its	-PRON-	PRP$
14725	356	31	piece	piece	NN
14725	356	32	C	C	NNP
14725	356	33	has	have	VBZ
14725	356	34	reached	reach	VBN
14725	356	35	B.	B.	NNP
14725	357	1	For	for	IN
14725	357	2	there	there	EX
14725	357	3	is	be	VBZ
14725	357	4	no	no	DT
14725	357	5	other	other	JJ
14725	357	6	line	line	NN
14725	357	7	below	below	IN
14725	357	8	the	the	DT
14725	357	9	plane	plane	NN
14725	357	10	AB	ab	NN
14725	357	11	which	which	WDT
14725	357	12	is	be	VBZ
14725	357	13	,	,	,
14725	357	14	like	like	IN
14725	357	15	BN	BN	NNP
14725	357	16	,	,	,
14725	357	17	a	a	DT
14725	357	18	common	common	JJ
14725	357	19	tangent	tangent	NN
14725	357	20	to	to	IN
14725	357	21	all	all	PDT
14725	357	22	these	these	DT
14725	357	23	partial	partial	JJ
14725	357	24	waves	wave	NNS
14725	357	25	.	.	.
14725	358	1	And	and	CC
14725	358	2	if	if	IN
14725	358	3	one	one	PRP
14725	358	4	would	would	MD
14725	358	5	know	know	VB
14725	358	6	how	how	WRB
14725	358	7	the	the	DT
14725	358	8	wave	wave	NN
14725	358	9	AC	AC	NNP
14725	358	10	has	have	VBZ
14725	358	11	come	come	VBN
14725	358	12	progressively	progressively	RB
14725	358	13	to	to	IN
14725	358	14	BN	BN	NNP
14725	358	15	,	,	,
14725	358	16	it	-PRON-	PRP
14725	358	17	is	be	VBZ
14725	358	18	necessary	necessary	JJ
14725	358	19	only	only	RB
14725	358	20	to	to	TO
14725	358	21	draw	draw	VB
14725	358	22	in	in	IN
14725	358	23	the	the	DT
14725	358	24	same	same	JJ
14725	358	25	figure	figure	NN
14725	358	26	the	the	DT
14725	358	27	straight	straight	JJ
14725	358	28	lines	line	NNS
14725	358	29	KO	KO	NNP
14725	358	30	parallel	parallel	NN
14725	358	31	to	to	IN
14725	358	32	BN	BN	NNP
14725	358	33	,	,	,
14725	358	34	and	and	CC
14725	358	35	all	all	PDT
14725	358	36	the	the	DT
14725	358	37	lines	line	NNS
14725	358	38	KL	KL	NNP
14725	358	39	parallel	parallel	NN
14725	358	40	to	to	IN
14725	358	41	AC	AC	NNP
14725	358	42	.	.	.
14725	359	1	Thus	thus	RB
14725	359	2	one	one	PRP
14725	359	3	will	will	MD
14725	359	4	see	see	VB
14725	359	5	that	that	IN
14725	359	6	the	the	DT
14725	359	7	wave	wave	NN
14725	359	8	CA	CA	NNP
14725	359	9	,	,	,
14725	359	10	from	from	IN
14725	359	11	being	be	VBG
14725	359	12	a	a	DT
14725	359	13	straight	straight	JJ
14725	359	14	line	line	NN
14725	359	15	,	,	,
14725	359	16	has	have	VBZ
14725	359	17	become	become	VBN
14725	359	18	broken	break	VBN
14725	359	19	in	in	IN
14725	359	20	all	all	PDT
14725	359	21	the	the	DT
14725	359	22	positions	position	NNS
14725	359	23	LKO	LKO	NNP
14725	359	24	successively	successively	RB
14725	359	25	,	,	,
14725	359	26	and	and	CC
14725	359	27	that	that	IN
14725	359	28	it	-PRON-	PRP
14725	359	29	has	have	VBZ
14725	359	30	again	again	RB
14725	359	31	become	become	VBN
14725	359	32	a	a	DT
14725	359	33	straight	straight	JJ
14725	359	34	line	line	NN
14725	359	35	at	at	IN
14725	359	36	BN	BN	NNP
14725	359	37	.	.	.
14725	360	1	This	this	DT
14725	360	2	being	be	VBG
14725	360	3	evident	evident	JJ
14725	360	4	by	by	IN
14725	360	5	what	what	WP
14725	360	6	has	have	VBZ
14725	360	7	already	already	RB
14725	360	8	been	be	VBN
14725	360	9	demonstrated	demonstrate	VBN
14725	360	10	,	,	,
14725	360	11	there	there	EX
14725	360	12	is	be	VBZ
14725	360	13	no	no	DT
14725	360	14	need	need	NN
14725	360	15	to	to	TO
14725	360	16	explain	explain	VB
14725	360	17	it	-PRON-	PRP
14725	360	18	further	further	RB
14725	360	19	.	.	.
14725	361	1	Now	now	RB
14725	361	2	,	,	,
14725	361	3	in	in	IN
14725	361	4	the	the	DT
14725	361	5	same	same	JJ
14725	361	6	figure	figure	NN
14725	361	7	,	,	,
14725	361	8	if	if	IN
14725	361	9	one	one	PRP
14725	361	10	draws	draw	VBZ
14725	361	11	EAF	EAF	NNP
14725	361	12	,	,	,
14725	361	13	which	which	WDT
14725	361	14	cuts	cut	VBZ
14725	361	15	the	the	DT
14725	361	16	plane	plane	NN
14725	361	17	AB	ab	NN
14725	361	18	at	at	IN
14725	361	19	right	right	JJ
14725	361	20	angles	angle	NNS
14725	361	21	at	at	IN
14725	361	22	the	the	DT
14725	361	23	point	point	NN
14725	361	24	A	A	NNP
14725	361	25	,	,	,
14725	361	26	since	since	IN
14725	361	27	AD	ad	NN
14725	361	28	is	be	VBZ
14725	361	29	perpendicular	perpendicular	JJ
14725	361	30	to	to	IN
14725	361	31	the	the	DT
14725	361	32	wave	wave	NN
14725	361	33	AC	AC	NNP
14725	361	34	,	,	,
14725	361	35	it	-PRON-	PRP
14725	361	36	will	will	MD
14725	361	37	be	be	VB
14725	361	38	DA	DA	NNP
14725	361	39	which	which	WDT
14725	361	40	will	will	MD
14725	361	41	mark	mark	VB
14725	361	42	the	the	DT
14725	361	43	ray	ray	NN
14725	361	44	of	of	IN
14725	361	45	incident	incident	NN
14725	361	46	light	light	NN
14725	361	47	,	,	,
14725	361	48	and	and	CC
14725	361	49	AN	an	DT
14725	361	50	which	which	WDT
14725	361	51	was	be	VBD
14725	361	52	perpendicular	perpendicular	JJ
14725	361	53	to	to	IN
14725	361	54	BN	BN	NNP
14725	361	55	,	,	,
14725	361	56	the	the	DT
14725	361	57	refracted	refracted	JJ
14725	361	58	ray	ray	NN
14725	361	59	:	:	:
14725	361	60	since	since	IN
14725	361	61	the	the	DT
14725	361	62	rays	ray	NNS
14725	361	63	are	be	VBP
14725	361	64	nothing	nothing	NN
14725	361	65	else	else	RB
14725	361	66	than	than	IN
14725	361	67	the	the	DT
14725	361	68	straight	straight	JJ
14725	361	69	lines	line	NNS
14725	361	70	along	along	IN
14725	361	71	which	which	WDT
14725	361	72	the	the	DT
14725	361	73	portions	portion	NNS
14725	361	74	of	of	IN
14725	361	75	the	the	DT
14725	361	76	waves	wave	NNS
14725	361	77	advance	advance	NN
14725	361	78	.	.	.
14725	362	1	Whence	whence	NN
14725	362	2	it	-PRON-	PRP
14725	362	3	is	be	VBZ
14725	362	4	easy	easy	JJ
14725	362	5	to	to	TO
14725	362	6	recognize	recognize	VB
14725	362	7	this	this	DT
14725	362	8	chief	chief	JJ
14725	362	9	property	property	NN
14725	362	10	of	of	IN
14725	362	11	refraction	refraction	NN
14725	362	12	,	,	,
14725	362	13	namely	namely	RB
14725	362	14	that	that	IN
14725	362	15	the	the	DT
14725	362	16	Sine	Sine	NNP
14725	362	17	of	of	IN
14725	362	18	the	the	DT
14725	362	19	angle	angle	NN
14725	362	20	DAE	DAE	NNP
14725	362	21	has	have	VBZ
14725	362	22	always	always	RB
14725	362	23	the	the	DT
14725	362	24	same	same	JJ
14725	362	25	ratio	ratio	NN
14725	362	26	to	to	IN
14725	362	27	the	the	DT
14725	362	28	Sine	Sine	NNP
14725	362	29	of	of	IN
14725	362	30	the	the	DT
14725	362	31	angle	angle	NN
14725	362	32	NAF	NAF	NNP
14725	362	33	,	,	,
14725	362	34	whatever	whatever	WDT
14725	362	35	be	be	VBP
14725	362	36	the	the	DT
14725	362	37	inclination	inclination	NN
14725	362	38	of	of	IN
14725	362	39	the	the	DT
14725	362	40	ray	ray	NNP
14725	362	41	DA	DA	NNP
14725	362	42	:	:	:
14725	362	43	and	and	CC
14725	362	44	that	that	IN
14725	362	45	this	this	DT
14725	362	46	ratio	ratio	NN
14725	362	47	is	be	VBZ
14725	362	48	the	the	DT
14725	362	49	same	same	JJ
14725	362	50	as	as	IN
14725	362	51	that	that	DT
14725	362	52	of	of	IN
14725	362	53	the	the	DT
14725	362	54	velocity	velocity	NN
14725	362	55	of	of	IN
14725	362	56	the	the	DT
14725	362	57	waves	wave	NNS
14725	362	58	in	in	IN
14725	362	59	the	the	DT
14725	362	60	transparent	transparent	JJ
14725	362	61	substance	substance	NN
14725	362	62	which	which	WDT
14725	362	63	is	be	VBZ
14725	362	64	towards	towards	IN
14725	362	65	AE	AE	NNP
14725	362	66	to	to	IN
14725	362	67	their	-PRON-	PRP$
14725	362	68	velocity	velocity	NN
14725	362	69	in	in	IN
14725	362	70	the	the	DT
14725	362	71	transparent	transparent	JJ
14725	362	72	substance	substance	NN
14725	362	73	towards	towards	IN
14725	362	74	AF	AF	NNP
14725	362	75	.	.	.
14725	363	1	For	for	IN
14725	363	2	,	,	,
14725	363	3	considering	consider	VBG
14725	363	4	AB	AB	NNP
14725	363	5	as	as	IN
14725	363	6	the	the	DT
14725	363	7	radius	radius	NN
14725	363	8	of	of	IN
14725	363	9	a	a	DT
14725	363	10	circle	circle	NN
14725	363	11	,	,	,
14725	363	12	the	the	DT
14725	363	13	Sine	Sine	NNP
14725	363	14	of	of	IN
14725	363	15	the	the	DT
14725	363	16	angle	angle	NN
14725	363	17	BAC	BAC	NNP
14725	363	18	is	be	VBZ
14725	363	19	BC	BC	NNP
14725	363	20	,	,	,
14725	363	21	and	and	CC
14725	363	22	the	the	DT
14725	363	23	Sine	Sine	NNP
14725	363	24	of	of	IN
14725	363	25	the	the	DT
14725	363	26	angle	angle	NN
14725	363	27	ABN	ABN	NNP
14725	363	28	is	be	VBZ
14725	363	29	AN	an	NN
14725	363	30	.	.	.
14725	364	1	But	but	CC
14725	364	2	the	the	DT
14725	364	3	angle	angle	NN
14725	364	4	BAC	BAC	NNP
14725	364	5	is	be	VBZ
14725	364	6	equal	equal	JJ
14725	364	7	to	to	IN
14725	364	8	DAE	DAE	NNP
14725	364	9	,	,	,
14725	364	10	since	since	IN
14725	364	11	each	each	DT
14725	364	12	of	of	IN
14725	364	13	them	-PRON-	PRP
14725	364	14	added	add	VBD
14725	364	15	to	to	IN
14725	364	16	CAE	CAE	NNP
14725	364	17	makes	make	VBZ
14725	364	18	a	a	DT
14725	364	19	right	right	JJ
14725	364	20	angle	angle	NN
14725	364	21	.	.	.
14725	365	1	And	and	CC
14725	365	2	the	the	DT
14725	365	3	angle	angle	NN
14725	365	4	ABN	ABN	NNP
14725	365	5	is	be	VBZ
14725	365	6	equal	equal	JJ
14725	365	7	to	to	IN
14725	365	8	NAF	NAF	NNP
14725	365	9	,	,	,
14725	365	10	since	since	IN
14725	365	11	each	each	DT
14725	365	12	of	of	IN
14725	365	13	them	-PRON-	PRP
14725	365	14	with	with	IN
14725	365	15	BAN	BAN	NNP
14725	365	16	makes	make	VBZ
14725	365	17	a	a	DT
14725	365	18	right	right	JJ
14725	365	19	angle	angle	NN
14725	365	20	.	.	.
14725	366	1	Then	then	RB
14725	366	2	also	also	RB
14725	366	3	the	the	DT
14725	366	4	Sine	Sine	NNP
14725	366	5	of	of	IN
14725	366	6	the	the	DT
14725	366	7	angle	angle	NN
14725	366	8	DAE	DAE	NNP
14725	366	9	is	be	VBZ
14725	366	10	to	to	IN
14725	366	11	the	the	DT
14725	366	12	Sine	Sine	NNP
14725	366	13	of	of	IN
14725	366	14	NAF	NAF	NNP
14725	366	15	as	as	IN
14725	366	16	BC	BC	NNP
14725	366	17	is	be	VBZ
14725	366	18	to	to	IN
14725	366	19	AN	an	NN
14725	366	20	.	.	.
14725	367	1	But	but	CC
14725	367	2	the	the	DT
14725	367	3	ratio	ratio	NN
14725	367	4	of	of	IN
14725	367	5	BC	BC	NNP
14725	367	6	to	to	IN
14725	367	7	AN	AN	NNP
14725	367	8	was	be	VBD
14725	367	9	the	the	DT
14725	367	10	same	same	JJ
14725	367	11	as	as	IN
14725	367	12	that	that	DT
14725	367	13	of	of	IN
14725	367	14	the	the	DT
14725	367	15	velocities	velocity	NNS
14725	367	16	of	of	IN
14725	367	17	light	light	NN
14725	367	18	in	in	IN
14725	367	19	the	the	DT
14725	367	20	substance	substance	NN
14725	367	21	which	which	WDT
14725	367	22	is	be	VBZ
14725	367	23	towards	towards	IN
14725	367	24	AE	AE	NNP
14725	367	25	and	and	CC
14725	367	26	in	in	IN
14725	367	27	that	that	DT
14725	367	28	which	which	WDT
14725	367	29	is	be	VBZ
14725	367	30	towards	towards	IN
14725	367	31	AF	AF	NNP
14725	367	32	;	;	:
14725	367	33	therefore	therefore	RB
14725	367	34	also	also	RB
14725	367	35	the	the	DT
14725	367	36	Sine	Sine	NNP
14725	367	37	of	of	IN
14725	367	38	the	the	DT
14725	367	39	angle	angle	NN
14725	367	40	DAE	DAE	NNP
14725	367	41	will	will	MD
14725	367	42	be	be	VB
14725	367	43	to	to	IN
14725	367	44	the	the	DT
14725	367	45	Sine	Sine	NNP
14725	367	46	of	of	IN
14725	367	47	the	the	DT
14725	367	48	angle	angle	NN
14725	367	49	NAF	NAF	NNP
14725	367	50	the	the	DT
14725	367	51	same	same	JJ
14725	367	52	as	as	IN
14725	367	53	the	the	DT
14725	367	54	said	say	VBN
14725	367	55	velocities	velocity	NNS
14725	367	56	of	of	IN
14725	367	57	light	light	NN
14725	367	58	.	.	.
14725	368	1	To	to	TO
14725	368	2	see	see	VB
14725	368	3	,	,	,
14725	368	4	consequently	consequently	RB
14725	368	5	,	,	,
14725	368	6	what	what	WP
14725	368	7	the	the	DT
14725	368	8	refraction	refraction	NN
14725	368	9	will	will	MD
14725	368	10	be	be	VB
14725	368	11	when	when	WRB
14725	368	12	the	the	DT
14725	368	13	waves	wave	NNS
14725	368	14	of	of	IN
14725	368	15	light	light	JJ
14725	368	16	pass	pass	NN
14725	368	17	into	into	IN
14725	368	18	a	a	DT
14725	368	19	substance	substance	NN
14725	368	20	in	in	IN
14725	368	21	which	which	WDT
14725	368	22	the	the	DT
14725	368	23	movement	movement	NN
14725	368	24	travels	travel	VBZ
14725	368	25	more	more	RBR
14725	368	26	quickly	quickly	RB
14725	368	27	than	than	IN
14725	368	28	in	in	IN
14725	368	29	that	that	DT
14725	368	30	from	from	IN
14725	368	31	which	which	WDT
14725	368	32	they	-PRON-	PRP
14725	368	33	emerge	emerge	VBP
14725	368	34	(	(	-LRB-
14725	368	35	let	let	VB
14725	368	36	us	-PRON-	PRP
14725	368	37	again	again	RB
14725	368	38	assume	assume	VB
14725	368	39	the	the	DT
14725	368	40	ratio	ratio	NN
14725	368	41	of	of	IN
14725	368	42	3	3	CD
14725	368	43	to	to	IN
14725	368	44	2	2	CD
14725	368	45	)	)	-RRB-
14725	368	46	,	,	,
14725	368	47	it	-PRON-	PRP
14725	368	48	is	be	VBZ
14725	368	49	only	only	RB
14725	368	50	necessary	necessary	JJ
14725	368	51	to	to	TO
14725	368	52	repeat	repeat	VB
14725	368	53	all	all	PDT
14725	368	54	the	the	DT
14725	368	55	same	same	JJ
14725	368	56	construction	construction	NN
14725	368	57	and	and	CC
14725	368	58	demonstration	demonstration	NN
14725	368	59	which	which	WDT
14725	368	60	we	-PRON-	PRP
14725	368	61	have	have	VBP
14725	368	62	just	just	RB
14725	368	63	used	use	VBN
14725	368	64	,	,	,
14725	368	65	merely	merely	RB
14725	368	66	substituting	substitute	VBG
14725	368	67	everywhere	everywhere	RB
14725	368	68	3/2	3/2	CD
14725	368	69	instead	instead	RB
14725	368	70	of	of	IN
14725	368	71	2/3	2/3	CD
14725	368	72	.	.	.
14725	369	1	And	and	CC
14725	369	2	it	-PRON-	PRP
14725	369	3	will	will	MD
14725	369	4	be	be	VB
14725	369	5	found	find	VBN
14725	369	6	by	by	IN
14725	369	7	the	the	DT
14725	369	8	same	same	JJ
14725	369	9	reasoning	reasoning	NN
14725	369	10	,	,	,
14725	369	11	in	in	IN
14725	369	12	this	this	DT
14725	369	13	other	other	JJ
14725	369	14	figure	figure	NN
14725	369	15	,	,	,
14725	369	16	that	that	IN
14725	369	17	when	when	WRB
14725	369	18	the	the	DT
14725	369	19	piece	piece	NN
14725	369	20	C	C	NNP
14725	369	21	of	of	IN
14725	369	22	the	the	DT
14725	369	23	wave	wave	NN
14725	369	24	AC	AC	NNP
14725	369	25	shall	shall	MD
14725	369	26	have	have	VB
14725	369	27	reached	reach	VBN
14725	369	28	the	the	DT
14725	369	29	surface	surface	NN
14725	369	30	AB	ab	NN
14725	369	31	at	at	IN
14725	369	32	B	b	NN
14725	369	33	,	,	,
14725	369	34	all	all	PDT
14725	369	35	the	the	DT
14725	369	36	portions	portion	NNS
14725	369	37	of	of	IN
14725	369	38	the	the	DT
14725	369	39	wave	wave	NN
14725	369	40	AC	AC	NNP
14725	369	41	will	will	MD
14725	369	42	have	have	VB
14725	369	43	advanced	advance	VBN
14725	369	44	as	as	RB
14725	369	45	far	far	RB
14725	369	46	as	as	IN
14725	369	47	BN	BN	NNP
14725	369	48	,	,	,
14725	369	49	so	so	IN
14725	369	50	that	that	IN
14725	369	51	BC	BC	NNP
14725	369	52	the	the	DT
14725	369	53	perpendicular	perpendicular	NN
14725	369	54	on	on	IN
14725	369	55	AC	AC	NNP
14725	369	56	is	be	VBZ
14725	369	57	to	to	IN
14725	369	58	AN	an	DT
14725	369	59	the	the	DT
14725	369	60	perpendicular	perpendicular	NN
14725	369	61	on	on	IN
14725	369	62	BN	BN	NNP
14725	369	63	as	as	IN
14725	369	64	2	2	CD
14725	369	65	to	to	IN
14725	369	66	3	3	CD
14725	369	67	.	.	.
14725	370	1	And	and	CC
14725	370	2	there	there	EX
14725	370	3	will	will	MD
14725	370	4	finally	finally	RB
14725	370	5	be	be	VB
14725	370	6	this	this	DT
14725	370	7	same	same	JJ
14725	370	8	ratio	ratio	NN
14725	370	9	of	of	IN
14725	370	10	2	2	CD
14725	370	11	to	to	IN
14725	370	12	3	3	CD
14725	370	13	between	between	IN
14725	370	14	the	the	DT
14725	370	15	Sine	Sine	NNP
14725	370	16	of	of	IN
14725	370	17	the	the	DT
14725	370	18	angle	angle	NN
14725	370	19	BAD	BAD	NNP
14725	370	20	and	and	CC
14725	370	21	the	the	DT
14725	370	22	Sine	Sine	NNP
14725	370	23	of	of	IN
14725	370	24	the	the	DT
14725	370	25	angle	angle	NN
14725	370	26	FAN	fan	NN
14725	370	27	.	.	.
14725	371	1	Hence	hence	RB
14725	371	2	one	one	PRP
14725	371	3	sees	see	VBZ
14725	371	4	the	the	DT
14725	371	5	reciprocal	reciprocal	JJ
14725	371	6	relation	relation	NN
14725	371	7	of	of	IN
14725	371	8	the	the	DT
14725	371	9	refractions	refraction	NNS
14725	371	10	of	of	IN
14725	371	11	the	the	DT
14725	371	12	ray	ray	NN
14725	371	13	on	on	IN
14725	371	14	entering	enter	VBG
14725	371	15	and	and	CC
14725	371	16	on	on	IN
14725	371	17	leaving	leave	VBG
14725	371	18	one	one	CD
14725	371	19	and	and	CC
14725	371	20	the	the	DT
14725	371	21	same	same	JJ
14725	371	22	transparent	transparent	JJ
14725	371	23	body	body	NN
14725	371	24	:	:	:
14725	371	25	namely	namely	RB
14725	371	26	that	that	IN
14725	371	27	if	if	IN
14725	371	28	NA	NA	NNP
14725	371	29	falling	fall	VBG
14725	371	30	on	on	IN
14725	371	31	the	the	DT
14725	371	32	external	external	JJ
14725	371	33	surface	surface	NN
14725	371	34	AB	AB	NNP
14725	371	35	is	be	VBZ
14725	371	36	refracted	refract	VBN
14725	371	37	into	into	IN
14725	371	38	the	the	DT
14725	371	39	direction	direction	NN
14725	371	40	AD	ad	NN
14725	371	41	,	,	,
14725	371	42	so	so	IN
14725	371	43	the	the	DT
14725	371	44	ray	ray	NN
14725	371	45	AD	ad	NN
14725	371	46	will	will	MD
14725	371	47	be	be	VB
14725	371	48	refracted	refract	VBN
14725	371	49	on	on	IN
14725	371	50	leaving	leave	VBG
14725	371	51	the	the	DT
14725	371	52	transparent	transparent	JJ
14725	371	53	body	body	NN
14725	371	54	into	into	IN
14725	371	55	the	the	DT
14725	371	56	direction	direction	NN
14725	371	57	AN	an	NN
14725	371	58	.	.	.
14725	372	1	[	[	-LRB-
14725	372	2	Illustration	illustration	NN
14725	372	3	]	]	-RRB-
14725	372	4	One	one	NN
14725	372	5	sees	see	VBZ
14725	372	6	also	also	RB
14725	372	7	the	the	DT
14725	372	8	reason	reason	NN
14725	372	9	for	for	IN
14725	372	10	a	a	DT
14725	372	11	noteworthy	noteworthy	JJ
14725	372	12	accident	accident	NN
14725	372	13	which	which	WDT
14725	372	14	happens	happen	VBZ
14725	372	15	in	in	IN
14725	372	16	this	this	DT
14725	372	17	refraction	refraction	NN
14725	372	18	:	:	:
14725	372	19	which	which	WDT
14725	372	20	is	be	VBZ
14725	372	21	this	this	DT
14725	372	22	,	,	,
14725	372	23	that	that	IN
14725	372	24	after	after	IN
14725	372	25	a	a	DT
14725	372	26	certain	certain	JJ
14725	372	27	obliquity	obliquity	NN
14725	372	28	of	of	IN
14725	372	29	the	the	DT
14725	372	30	incident	incident	NN
14725	372	31	ray	ray	NNP
14725	372	32	DA	DA	NNP
14725	372	33	,	,	,
14725	372	34	it	-PRON-	PRP
14725	372	35	begins	begin	VBZ
14725	372	36	to	to	TO
14725	372	37	be	be	VB
14725	372	38	quite	quite	RB
14725	372	39	unable	unable	JJ
14725	372	40	to	to	TO
14725	372	41	penetrate	penetrate	VB
14725	372	42	into	into	IN
14725	372	43	the	the	DT
14725	372	44	other	other	JJ
14725	372	45	transparent	transparent	JJ
14725	372	46	substance	substance	NN
14725	372	47	.	.	.
14725	373	1	For	for	IN
14725	373	2	if	if	IN
14725	373	3	the	the	DT
14725	373	4	angle	angle	NN
14725	373	5	DAQ	DAQ	NNP
14725	373	6	or	or	CC
14725	373	7	CBA	CBA	NNP
14725	373	8	is	be	VBZ
14725	373	9	such	such	JJ
14725	373	10	that	that	IN
14725	373	11	in	in	IN
14725	373	12	the	the	DT
14725	373	13	triangle	triangle	NN
14725	373	14	ACB	ACB	NNP
14725	373	15	,	,	,
14725	373	16	CB	CB	NNP
14725	373	17	is	be	VBZ
14725	373	18	equal	equal	JJ
14725	373	19	to	to	IN
14725	373	20	2/3	2/3	CD
14725	373	21	of	of	IN
14725	373	22	AB	AB	NNP
14725	373	23	,	,	,
14725	373	24	or	or	CC
14725	373	25	is	be	VBZ
14725	373	26	greater	great	JJR
14725	373	27	,	,	,
14725	373	28	then	then	RB
14725	373	29	AN	an	DT
14725	373	30	can	can	MD
14725	373	31	not	not	RB
14725	373	32	form	form	VB
14725	373	33	one	one	CD
14725	373	34	side	side	NN
14725	373	35	of	of	IN
14725	373	36	the	the	DT
14725	373	37	triangle	triangle	NN
14725	373	38	ANB	ANB	NNP
14725	373	39	,	,	,
14725	373	40	since	since	IN
14725	373	41	it	-PRON-	PRP
14725	373	42	becomes	become	VBZ
14725	373	43	equal	equal	JJ
14725	373	44	to	to	IN
14725	373	45	or	or	CC
14725	373	46	greater	great	JJR
14725	373	47	than	than	IN
14725	373	48	AB	AB	NNP
14725	373	49	:	:	:
14725	373	50	so	so	IN
14725	373	51	that	that	IN
14725	373	52	the	the	DT
14725	373	53	portion	portion	NN
14725	373	54	of	of	IN
14725	373	55	wave	wave	NN
14725	373	56	BN	BN	NNP
14725	373	57	can	can	MD
14725	373	58	not	not	RB
14725	373	59	be	be	VB
14725	373	60	found	find	VBN
14725	373	61	anywhere	anywhere	RB
14725	373	62	,	,	,
14725	373	63	neither	neither	RB
14725	373	64	consequently	consequently	RB
14725	373	65	can	can	MD
14725	373	66	AN	an	DT
14725	373	67	,	,	,
14725	373	68	which	which	WDT
14725	373	69	ought	ought	MD
14725	373	70	to	to	TO
14725	373	71	be	be	VB
14725	373	72	perpendicular	perpendicular	JJ
14725	373	73	to	to	IN
14725	373	74	it	-PRON-	PRP
14725	373	75	.	.	.
14725	374	1	And	and	CC
14725	374	2	thus	thus	RB
14725	374	3	the	the	DT
14725	374	4	incident	incident	NN
14725	374	5	ray	ray	NNP
14725	374	6	DA	DA	NNP
14725	374	7	does	do	VBZ
14725	374	8	not	not	RB
14725	374	9	then	then	RB
14725	374	10	pierce	pierce	VB
14725	374	11	the	the	DT
14725	374	12	surface	surface	NN
14725	374	13	AB	ab	NN
14725	374	14	.	.	.
14725	375	1	When	when	WRB
14725	375	2	the	the	DT
14725	375	3	ratio	ratio	NN
14725	375	4	of	of	IN
14725	375	5	the	the	DT
14725	375	6	velocities	velocity	NNS
14725	375	7	of	of	IN
14725	375	8	the	the	DT
14725	375	9	waves	wave	NNS
14725	375	10	is	be	VBZ
14725	375	11	as	as	IN
14725	375	12	two	two	CD
14725	375	13	to	to	IN
14725	375	14	three	three	CD
14725	375	15	,	,	,
14725	375	16	as	as	IN
14725	375	17	in	in	IN
14725	375	18	our	-PRON-	PRP$
14725	375	19	example	example	NN
14725	375	20	,	,	,
14725	375	21	which	which	WDT
14725	375	22	is	be	VBZ
14725	375	23	that	that	DT
14725	375	24	which	which	WDT
14725	375	25	obtains	obtain	VBZ
14725	375	26	for	for	IN
14725	375	27	glass	glass	NN
14725	375	28	and	and	CC
14725	375	29	air	air	NN
14725	375	30	,	,	,
14725	375	31	the	the	DT
14725	375	32	angle	angle	NN
14725	375	33	DAQ	DAQ	NNP
14725	375	34	must	must	MD
14725	375	35	be	be	VB
14725	375	36	more	more	JJR
14725	375	37	than	than	IN
14725	375	38	48	48	CD
14725	375	39	degrees	degree	NNS
14725	375	40	11	11	CD
14725	375	41	minutes	minute	NNS
14725	375	42	in	in	IN
14725	375	43	order	order	NN
14725	375	44	that	that	IN
14725	375	45	the	the	DT
14725	375	46	ray	ray	NN
14725	375	47	DA	DA	NNP
14725	375	48	may	may	MD
14725	375	49	be	be	VB
14725	375	50	able	able	JJ
14725	375	51	to	to	TO
14725	375	52	pass	pass	VB
14725	375	53	by	by	IN
14725	375	54	refraction	refraction	NN
14725	375	55	.	.	.
14725	376	1	And	and	CC
14725	376	2	when	when	WRB
14725	376	3	the	the	DT
14725	376	4	ratio	ratio	NN
14725	376	5	of	of	IN
14725	376	6	the	the	DT
14725	376	7	velocities	velocity	NNS
14725	376	8	is	be	VBZ
14725	376	9	as	as	IN
14725	376	10	3	3	CD
14725	376	11	to	to	IN
14725	376	12	4	4	CD
14725	376	13	,	,	,
14725	376	14	as	as	IN
14725	376	15	it	-PRON-	PRP
14725	376	16	is	be	VBZ
14725	376	17	very	very	RB
14725	376	18	nearly	nearly	RB
14725	376	19	in	in	IN
14725	376	20	water	water	NN
14725	376	21	and	and	CC
14725	376	22	air	air	NN
14725	376	23	,	,	,
14725	376	24	this	this	DT
14725	376	25	angle	angle	NN
14725	376	26	DAQ	DAQ	NNP
14725	376	27	must	must	MD
14725	376	28	exceed	exceed	VB
14725	376	29	41	41	CD
14725	376	30	degrees	degree	NNS
14725	376	31	24	24	CD
14725	376	32	minutes	minute	NNS
14725	376	33	.	.	.
14725	377	1	And	and	CC
14725	377	2	this	this	DT
14725	377	3	accords	accord	NNS
14725	377	4	perfectly	perfectly	RB
14725	377	5	with	with	IN
14725	377	6	experiment	experiment	NN
14725	377	7	.	.	.
14725	378	1	But	but	CC
14725	378	2	it	-PRON-	PRP
14725	378	3	might	may	MD
14725	378	4	here	here	RB
14725	378	5	be	be	VB
14725	378	6	asked	ask	VBN
14725	378	7	:	:	:
14725	378	8	since	since	IN
14725	378	9	the	the	DT
14725	378	10	meeting	meeting	NN
14725	378	11	of	of	IN
14725	378	12	the	the	DT
14725	378	13	wave	wave	NN
14725	378	14	AC	AC	NNP
14725	378	15	against	against	IN
14725	378	16	the	the	DT
14725	378	17	surface	surface	NN
14725	378	18	AB	AB	NNP
14725	378	19	ought	ought	MD
14725	378	20	to	to	TO
14725	378	21	produce	produce	VB
14725	378	22	movement	movement	NN
14725	378	23	in	in	IN
14725	378	24	the	the	DT
14725	378	25	matter	matter	NN
14725	378	26	which	which	WDT
14725	378	27	is	be	VBZ
14725	378	28	on	on	IN
14725	378	29	the	the	DT
14725	378	30	other	other	JJ
14725	378	31	side	side	NN
14725	378	32	,	,	,
14725	378	33	why	why	WRB
14725	378	34	does	do	VBZ
14725	378	35	no	no	DT
14725	378	36	light	light	NN
14725	378	37	pass	pass	VB
14725	378	38	there	there	RB
14725	378	39	?	?	.
14725	379	1	To	to	TO
14725	379	2	which	which	WDT
14725	379	3	the	the	DT
14725	379	4	reply	reply	NN
14725	379	5	is	be	VBZ
14725	379	6	easy	easy	JJ
14725	379	7	if	if	IN
14725	379	8	one	one	CD
14725	379	9	remembers	remember	VBZ
14725	379	10	what	what	WP
14725	379	11	has	have	VBZ
14725	379	12	been	be	VBN
14725	379	13	said	say	VBN
14725	379	14	before	before	RB
14725	379	15	.	.	.
14725	380	1	For	for	IN
14725	380	2	although	although	IN
14725	380	3	it	-PRON-	PRP
14725	380	4	generates	generate	VBZ
14725	380	5	an	an	DT
14725	380	6	infinitude	infinitude	NN
14725	380	7	of	of	IN
14725	380	8	partial	partial	JJ
14725	380	9	waves	wave	NNS
14725	380	10	in	in	IN
14725	380	11	the	the	DT
14725	380	12	matter	matter	NN
14725	380	13	which	which	WDT
14725	380	14	is	be	VBZ
14725	380	15	at	at	IN
14725	380	16	the	the	DT
14725	380	17	other	other	JJ
14725	380	18	side	side	NN
14725	380	19	of	of	IN
14725	380	20	AB	AB	NNP
14725	380	21	,	,	,
14725	380	22	these	these	DT
14725	380	23	waves	wave	NNS
14725	380	24	never	never	RB
14725	380	25	have	have	VBP
14725	380	26	a	a	DT
14725	380	27	common	common	JJ
14725	380	28	tangent	tangent	NN
14725	380	29	line	line	NN
14725	380	30	(	(	-LRB-
14725	380	31	either	either	CC
14725	380	32	straight	straight	RB
14725	380	33	or	or	CC
14725	380	34	curved	curved	JJ
14725	380	35	)	)	-RRB-
14725	380	36	at	at	IN
14725	380	37	the	the	DT
14725	380	38	same	same	JJ
14725	380	39	moment	moment	NN
14725	380	40	;	;	:
14725	380	41	and	and	CC
14725	380	42	so	so	RB
14725	380	43	there	there	EX
14725	380	44	is	be	VBZ
14725	380	45	no	no	DT
14725	380	46	line	line	NN
14725	380	47	terminating	terminate	VBG
14725	380	48	the	the	DT
14725	380	49	propagation	propagation	NN
14725	380	50	of	of	IN
14725	380	51	the	the	DT
14725	380	52	wave	wave	NN
14725	380	53	AC	AC	NNP
14725	380	54	beyond	beyond	IN
14725	380	55	the	the	DT
14725	380	56	plane	plane	NN
14725	380	57	AB	ab	NN
14725	380	58	,	,	,
14725	380	59	nor	nor	CC
14725	380	60	any	any	DT
14725	380	61	place	place	NN
14725	380	62	where	where	WRB
14725	380	63	the	the	DT
14725	380	64	movement	movement	NN
14725	380	65	is	be	VBZ
14725	380	66	gathered	gather	VBN
14725	380	67	together	together	RB
14725	380	68	in	in	IN
14725	380	69	sufficiently	sufficiently	RB
14725	380	70	great	great	JJ
14725	380	71	quantity	quantity	NN
14725	380	72	to	to	TO
14725	380	73	produce	produce	VB
14725	380	74	light	light	NN
14725	380	75	.	.	.
14725	381	1	And	and	CC
14725	381	2	one	one	NN
14725	381	3	will	will	MD
14725	381	4	easily	easily	RB
14725	381	5	see	see	VB
14725	381	6	the	the	DT
14725	381	7	truth	truth	NN
14725	381	8	of	of	IN
14725	381	9	this	this	DT
14725	381	10	,	,	,
14725	381	11	namely	namely	RB
14725	381	12	that	that	IN
14725	381	13	CB	CB	NNP
14725	381	14	being	be	VBG
14725	381	15	larger	large	JJR
14725	381	16	than	than	IN
14725	381	17	2/3	2/3	CD
14725	381	18	of	of	IN
14725	381	19	AB	AB	NNP
14725	381	20	,	,	,
14725	381	21	the	the	DT
14725	381	22	waves	wave	NNS
14725	381	23	excited	excite	VBD
14725	381	24	beyond	beyond	IN
14725	381	25	the	the	DT
14725	381	26	plane	plane	NN
14725	381	27	AB	ab	NN
14725	381	28	will	will	MD
14725	381	29	have	have	VB
14725	381	30	no	no	DT
14725	381	31	common	common	JJ
14725	381	32	tangent	tangent	NN
14725	381	33	if	if	IN
14725	381	34	about	about	IN
14725	381	35	the	the	DT
14725	381	36	centres	centre	NNS
14725	381	37	K	K	NNP
14725	381	38	one	one	NN
14725	381	39	then	then	RB
14725	381	40	draws	draw	VBZ
14725	381	41	circles	circle	NNS
14725	381	42	having	have	VBG
14725	381	43	radii	radii	NN
14725	381	44	equal	equal	JJ
14725	381	45	to	to	IN
14725	381	46	3/2	3/2	CD
14725	381	47	of	of	IN
14725	381	48	the	the	DT
14725	381	49	lengths	length	NNS
14725	381	50	LB	LB	NNP
14725	381	51	to	to	TO
14725	381	52	which	which	WDT
14725	381	53	they	-PRON-	PRP
14725	381	54	correspond	correspond	VBP
14725	381	55	.	.	.
14725	382	1	For	for	IN
14725	382	2	all	all	PDT
14725	382	3	these	these	DT
14725	382	4	circles	circle	NNS
14725	382	5	will	will	MD
14725	382	6	be	be	VB
14725	382	7	enclosed	enclose	VBN
14725	382	8	in	in	IN
14725	382	9	one	one	CD
14725	382	10	another	another	DT
14725	382	11	and	and	CC
14725	382	12	will	will	MD
14725	382	13	all	all	RB
14725	382	14	pass	pass	VB
14725	382	15	beyond	beyond	IN
14725	382	16	the	the	DT
14725	382	17	point	point	NN
14725	382	18	B.	B.	NNP
14725	383	1	Now	now	RB
14725	383	2	it	-PRON-	PRP
14725	383	3	is	be	VBZ
14725	383	4	to	to	TO
14725	383	5	be	be	VB
14725	383	6	remarked	remark	VBN
14725	383	7	that	that	IN
14725	383	8	from	from	IN
14725	383	9	the	the	DT
14725	383	10	moment	moment	NN
14725	383	11	when	when	WRB
14725	383	12	the	the	DT
14725	383	13	angle	angle	NN
14725	383	14	DAQ	DAQ	NNP
14725	383	15	is	be	VBZ
14725	383	16	smaller	small	JJR
14725	383	17	than	than	IN
14725	383	18	is	be	VBZ
14725	383	19	requisite	requisite	JJ
14725	383	20	to	to	TO
14725	383	21	permit	permit	VB
14725	383	22	the	the	DT
14725	383	23	refracted	refract	VBN
14725	383	24	ray	ray	NN
14725	383	25	DA	DA	NNP
14725	383	26	to	to	TO
14725	383	27	pass	pass	VB
14725	383	28	into	into	IN
14725	383	29	the	the	DT
14725	383	30	other	other	JJ
14725	383	31	transparent	transparent	JJ
14725	383	32	substance	substance	NN
14725	383	33	,	,	,
14725	383	34	one	one	CD
14725	383	35	finds	find	VBZ
14725	383	36	that	that	IN
14725	383	37	the	the	DT
14725	383	38	interior	interior	JJ
14725	383	39	reflexion	reflexion	NN
14725	383	40	which	which	WDT
14725	383	41	occurs	occur	VBZ
14725	383	42	at	at	IN
14725	383	43	the	the	DT
14725	383	44	surface	surface	NN
14725	383	45	AB	AB	NNP
14725	383	46	is	be	VBZ
14725	383	47	much	much	RB
14725	383	48	augmented	augment	VBN
14725	383	49	in	in	IN
14725	383	50	brightness	brightness	NN
14725	383	51	,	,	,
14725	383	52	as	as	IN
14725	383	53	is	be	VBZ
14725	383	54	easy	easy	JJ
14725	383	55	to	to	TO
14725	383	56	realize	realize	VB
14725	383	57	by	by	IN
14725	383	58	experiment	experiment	NN
14725	383	59	with	with	IN
14725	383	60	a	a	DT
14725	383	61	triangular	triangular	JJ
14725	383	62	prism	prism	NN
14725	383	63	;	;	,
14725	383	64	and	and	CC
14725	383	65	for	for	IN
14725	383	66	this	this	DT
14725	383	67	our	-PRON-	PRP$
14725	383	68	theory	theory	NN
14725	383	69	can	can	MD
14725	383	70	afford	afford	VB
14725	383	71	this	this	DT
14725	383	72	reason	reason	NN
14725	383	73	.	.	.
14725	384	1	When	when	WRB
14725	384	2	the	the	DT
14725	384	3	angle	angle	NN
14725	384	4	DAQ	DAQ	NNP
14725	384	5	is	be	VBZ
14725	384	6	still	still	RB
14725	384	7	large	large	JJ
14725	384	8	enough	enough	RB
14725	384	9	to	to	TO
14725	384	10	enable	enable	VB
14725	384	11	the	the	DT
14725	384	12	ray	ray	NN
14725	384	13	DA	DA	NNP
14725	384	14	to	to	TO
14725	384	15	pass	pass	VB
14725	384	16	,	,	,
14725	384	17	it	-PRON-	PRP
14725	384	18	is	be	VBZ
14725	384	19	evident	evident	JJ
14725	384	20	that	that	IN
14725	384	21	the	the	DT
14725	384	22	light	light	NN
14725	384	23	from	from	IN
14725	384	24	the	the	DT
14725	384	25	portion	portion	NN
14725	384	26	AC	AC	NNP
14725	384	27	of	of	IN
14725	384	28	the	the	DT
14725	384	29	wave	wave	NN
14725	384	30	is	be	VBZ
14725	384	31	collected	collect	VBN
14725	384	32	in	in	IN
14725	384	33	a	a	DT
14725	384	34	minimum	minimum	JJ
14725	384	35	space	space	NN
14725	384	36	when	when	WRB
14725	384	37	it	-PRON-	PRP
14725	384	38	reaches	reach	VBZ
14725	384	39	BN	BN	NNP
14725	384	40	.	.	.
14725	385	1	It	-PRON-	PRP
14725	385	2	appears	appear	VBZ
14725	385	3	also	also	RB
14725	385	4	that	that	IN
14725	385	5	the	the	DT
14725	385	6	wave	wave	NN
14725	385	7	BN	BN	NNP
14725	385	8	becomes	become	VBZ
14725	385	9	so	so	RB
14725	385	10	much	much	RB
14725	385	11	the	the	DT
14725	385	12	smaller	small	JJR
14725	385	13	as	as	IN
14725	385	14	the	the	DT
14725	385	15	angle	angle	NN
14725	385	16	CBA	CBA	NNP
14725	385	17	or	or	CC
14725	385	18	DAQ	DAQ	NNP
14725	385	19	is	be	VBZ
14725	385	20	made	make	VBN
14725	385	21	less	less	JJR
14725	385	22	;	;	:
14725	385	23	until	until	IN
14725	385	24	when	when	WRB
14725	385	25	the	the	DT
14725	385	26	latter	latter	NN
14725	385	27	is	be	VBZ
14725	385	28	diminished	diminish	VBN
14725	385	29	to	to	IN
14725	385	30	the	the	DT
14725	385	31	limit	limit	NN
14725	385	32	indicated	indicate	VBD
14725	385	33	a	a	DT
14725	385	34	little	little	JJ
14725	385	35	previously	previously	RB
14725	385	36	,	,	,
14725	385	37	this	this	DT
14725	385	38	wave	wave	NN
14725	385	39	BN	BN	NNP
14725	385	40	is	be	VBZ
14725	385	41	collected	collect	VBN
14725	385	42	together	together	RB
14725	385	43	always	always	RB
14725	385	44	at	at	IN
14725	385	45	one	one	CD
14725	385	46	point	point	NN
14725	385	47	.	.	.
14725	386	1	That	that	DT
14725	386	2	is	be	VBZ
14725	386	3	to	to	TO
14725	386	4	say	say	VB
14725	386	5	,	,	,
14725	386	6	that	that	IN
14725	386	7	when	when	WRB
14725	386	8	the	the	DT
14725	386	9	piece	piece	NN
14725	386	10	C	C	NNP
14725	386	11	of	of	IN
14725	386	12	the	the	DT
14725	386	13	wave	wave	NN
14725	386	14	AC	AC	NNP
14725	386	15	has	have	VBZ
14725	386	16	then	then	RB
14725	386	17	arrived	arrive	VBN
14725	386	18	at	at	IN
14725	386	19	B	b	NN
14725	386	20	,	,	,
14725	386	21	the	the	DT
14725	386	22	wave	wave	NN
14725	386	23	BN	BN	NNP
14725	386	24	which	which	WDT
14725	386	25	is	be	VBZ
14725	386	26	the	the	DT
14725	386	27	propagation	propagation	NN
14725	386	28	of	of	IN
14725	386	29	AC	AC	NNP
14725	386	30	is	be	VBZ
14725	386	31	entirely	entirely	RB
14725	386	32	reduced	reduce	VBN
14725	386	33	to	to	IN
14725	386	34	the	the	DT
14725	386	35	same	same	JJ
14725	386	36	point	point	NN
14725	386	37	B.	B.	NNP
14725	387	1	Similarly	similarly	RB
14725	387	2	when	when	WRB
14725	387	3	the	the	DT
14725	387	4	piece	piece	NN
14725	387	5	H	h	NN
14725	387	6	has	have	VBZ
14725	387	7	reached	reach	VBN
14725	387	8	K	K	NNP
14725	387	9	,	,	,
14725	387	10	the	the	DT
14725	387	11	part	part	NN
14725	387	12	AH	AH	NNP
14725	387	13	is	be	VBZ
14725	387	14	entirely	entirely	RB
14725	387	15	reduced	reduce	VBN
14725	387	16	to	to	IN
14725	387	17	the	the	DT
14725	387	18	same	same	JJ
14725	387	19	point	point	NN
14725	387	20	K.	K.	NNP
14725	387	21	This	this	DT
14725	387	22	makes	make	VBZ
14725	387	23	it	-PRON-	PRP
14725	387	24	evident	evident	JJ
14725	387	25	that	that	IN
14725	387	26	in	in	IN
14725	387	27	proportion	proportion	NN
14725	387	28	as	as	IN
14725	387	29	the	the	DT
14725	387	30	wave	wave	NN
14725	387	31	CA	CA	NNP
14725	387	32	comes	come	VBZ
14725	387	33	to	to	TO
14725	387	34	meet	meet	VB
14725	387	35	the	the	DT
14725	387	36	surface	surface	NN
14725	387	37	AB	AB	NNP
14725	387	38	,	,	,
14725	387	39	there	there	EX
14725	387	40	occurs	occur	VBZ
14725	387	41	a	a	DT
14725	387	42	great	great	JJ
14725	387	43	quantity	quantity	NN
14725	387	44	of	of	IN
14725	387	45	movement	movement	NN
14725	387	46	along	along	IN
14725	387	47	that	that	DT
14725	387	48	surface	surface	NN
14725	387	49	;	;	:
14725	387	50	which	which	WDT
14725	387	51	movement	movement	NN
14725	387	52	ought	ought	MD
14725	387	53	also	also	RB
14725	387	54	to	to	TO
14725	387	55	spread	spread	VB
14725	387	56	within	within	IN
14725	387	57	the	the	DT
14725	387	58	transparent	transparent	JJ
14725	387	59	body	body	NN
14725	387	60	and	and	CC
14725	387	61	ought	ought	MD
14725	387	62	to	to	TO
14725	387	63	have	have	VB
14725	387	64	much	much	JJ
14725	387	65	re	re	VBN
14725	387	66	-	-	VBN
14725	387	67	enforced	enforce	VBD
14725	387	68	the	the	DT
14725	387	69	partial	partial	JJ
14725	387	70	waves	wave	NNS
14725	387	71	which	which	WDT
14725	387	72	produce	produce	VBP
14725	387	73	the	the	DT
14725	387	74	interior	interior	JJ
14725	387	75	reflexion	reflexion	NN
14725	387	76	against	against	IN
14725	387	77	the	the	DT
14725	387	78	surface	surface	NN
14725	387	79	AB	AB	NNP
14725	387	80	,	,	,
14725	387	81	according	accord	VBG
14725	387	82	to	to	IN
14725	387	83	the	the	DT
14725	387	84	laws	law	NNS
14725	387	85	of	of	IN
14725	387	86	reflexion	reflexion	NN
14725	387	87	previously	previously	RB
14725	387	88	explained	explain	VBD
14725	387	89	.	.	.
14725	388	1	And	and	CC
14725	388	2	because	because	IN
14725	388	3	a	a	DT
14725	388	4	slight	slight	JJ
14725	388	5	diminution	diminution	NN
14725	388	6	of	of	IN
14725	388	7	the	the	DT
14725	388	8	angle	angle	NN
14725	388	9	of	of	IN
14725	388	10	incidence	incidence	NN
14725	388	11	DAQ	DAQ	NNP
14725	388	12	causes	cause	VBZ
14725	388	13	the	the	DT
14725	388	14	wave	wave	NN
14725	388	15	BN	BN	NNP
14725	388	16	,	,	,
14725	388	17	however	however	RB
14725	388	18	great	great	JJ
14725	388	19	it	-PRON-	PRP
14725	388	20	was	be	VBD
14725	388	21	,	,	,
14725	388	22	to	to	TO
14725	388	23	be	be	VB
14725	388	24	reduced	reduce	VBN
14725	388	25	to	to	IN
14725	388	26	zero	zero	CD
14725	388	27	,	,	,
14725	388	28	(	(	-LRB-
14725	388	29	for	for	IN
14725	388	30	this	this	DT
14725	388	31	angle	angle	NN
14725	388	32	being	be	VBG
14725	388	33	49	49	CD
14725	388	34	degrees	degree	NNS
14725	388	35	11	11	CD
14725	388	36	minutes	minute	NNS
14725	388	37	in	in	IN
14725	388	38	the	the	DT
14725	388	39	glass	glass	NN
14725	388	40	,	,	,
14725	388	41	the	the	DT
14725	388	42	angle	angle	NN
14725	388	43	BAN	BAN	NNP
14725	388	44	is	be	VBZ
14725	388	45	still	still	RB
14725	388	46	11	11	CD
14725	388	47	degrees	degree	NNS
14725	388	48	21	21	CD
14725	388	49	minutes	minute	NNS
14725	388	50	,	,	,
14725	388	51	and	and	CC
14725	388	52	the	the	DT
14725	388	53	same	same	JJ
14725	388	54	angle	angle	NN
14725	388	55	being	be	VBG
14725	388	56	reduced	reduce	VBN
14725	388	57	by	by	IN
14725	388	58	one	one	CD
14725	388	59	degree	degree	NN
14725	388	60	only	only	RB
14725	388	61	the	the	DT
14725	388	62	angle	angle	NN
14725	388	63	BAN	BAN	NNP
14725	388	64	is	be	VBZ
14725	388	65	reduced	reduce	VBN
14725	388	66	to	to	IN
14725	388	67	zero	zero	CD
14725	388	68	,	,	,
14725	388	69	and	and	CC
14725	388	70	so	so	RB
14725	388	71	the	the	DT
14725	388	72	wave	wave	NN
14725	388	73	BN	BN	NNP
14725	388	74	reduced	reduce	VBD
14725	388	75	to	to	IN
14725	388	76	a	a	DT
14725	388	77	point	point	NN
14725	388	78	)	)	-RRB-
14725	388	79	thence	thence	NN
14725	388	80	it	-PRON-	PRP
14725	388	81	comes	come	VBZ
14725	388	82	about	about	IN
14725	388	83	that	that	IN
14725	388	84	the	the	DT
14725	388	85	interior	interior	JJ
14725	388	86	reflexion	reflexion	NN
14725	388	87	from	from	IN
14725	388	88	being	be	VBG
14725	388	89	obscure	obscure	JJ
14725	388	90	becomes	become	VBZ
14725	388	91	suddenly	suddenly	RB
14725	388	92	bright	bright	JJ
14725	388	93	,	,	,
14725	388	94	so	so	RB
14725	388	95	soon	soon	RB
14725	388	96	as	as	IN
14725	388	97	the	the	DT
14725	388	98	angle	angle	NN
14725	388	99	of	of	IN
14725	388	100	incidence	incidence	NN
14725	388	101	is	be	VBZ
14725	388	102	such	such	JJ
14725	388	103	that	that	IN
14725	388	104	it	-PRON-	PRP
14725	388	105	no	no	RB
14725	388	106	longer	long	RBR
14725	388	107	gives	give	VBZ
14725	388	108	passage	passage	NN
14725	388	109	to	to	IN
14725	388	110	the	the	DT
14725	388	111	refraction	refraction	NN
14725	388	112	.	.	.
14725	389	1	Now	now	RB
14725	389	2	as	as	IN
14725	389	3	concerns	concern	NNS
14725	389	4	ordinary	ordinary	JJ
14725	389	5	external	external	JJ
14725	389	6	reflexion	reflexion	NN
14725	389	7	,	,	,
14725	389	8	that	that	DT
14725	389	9	is	be	VBZ
14725	389	10	to	to	TO
14725	389	11	say	say	VB
14725	389	12	which	which	WDT
14725	389	13	occurs	occur	VBZ
14725	389	14	when	when	WRB
14725	389	15	the	the	DT
14725	389	16	angle	angle	NN
14725	389	17	of	of	IN
14725	389	18	incidence	incidence	NN
14725	389	19	DAQ	DAQ	NNP
14725	389	20	is	be	VBZ
14725	389	21	still	still	RB
14725	389	22	large	large	JJ
14725	389	23	enough	enough	RB
14725	389	24	to	to	TO
14725	389	25	enable	enable	VB
14725	389	26	the	the	DT
14725	389	27	refracted	refracted	JJ
14725	389	28	ray	ray	NN
14725	389	29	to	to	TO
14725	389	30	penetrate	penetrate	VB
14725	389	31	beyond	beyond	IN
14725	389	32	the	the	DT
14725	389	33	surface	surface	NN
14725	389	34	AB	AB	NNP
14725	389	35	,	,	,
14725	389	36	this	this	DT
14725	389	37	reflexion	reflexion	NN
14725	389	38	should	should	MD
14725	389	39	occur	occur	VB
14725	389	40	against	against	IN
14725	389	41	the	the	DT
14725	389	42	particles	particle	NNS
14725	389	43	of	of	IN
14725	389	44	the	the	DT
14725	389	45	substance	substance	NN
14725	389	46	which	which	WDT
14725	389	47	touches	touch	VBZ
14725	389	48	the	the	DT
14725	389	49	transparent	transparent	JJ
14725	389	50	body	body	NN
14725	389	51	on	on	IN
14725	389	52	its	-PRON-	PRP$
14725	389	53	outside	outside	NN
14725	389	54	.	.	.
14725	390	1	And	and	CC
14725	390	2	it	-PRON-	PRP
14725	390	3	apparently	apparently	RB
14725	390	4	occurs	occur	VBZ
14725	390	5	against	against	IN
14725	390	6	the	the	DT
14725	390	7	particles	particle	NNS
14725	390	8	of	of	IN
14725	390	9	the	the	DT
14725	390	10	air	air	NN
14725	390	11	or	or	CC
14725	390	12	others	other	NNS
14725	390	13	mingled	mingle	VBD
14725	390	14	with	with	IN
14725	390	15	the	the	DT
14725	390	16	ethereal	ethereal	JJ
14725	390	17	particles	particle	NNS
14725	390	18	and	and	CC
14725	390	19	larger	large	JJR
14725	390	20	than	than	IN
14725	390	21	they	-PRON-	PRP
14725	390	22	.	.	.
14725	391	1	So	so	RB
14725	391	2	on	on	IN
14725	391	3	the	the	DT
14725	391	4	other	other	JJ
14725	391	5	hand	hand	NN
14725	391	6	the	the	DT
14725	391	7	external	external	JJ
14725	391	8	reflexion	reflexion	NN
14725	391	9	of	of	IN
14725	391	10	these	these	DT
14725	391	11	bodies	body	NNS
14725	391	12	occurs	occur	VBZ
14725	391	13	against	against	IN
14725	391	14	the	the	DT
14725	391	15	particles	particle	NNS
14725	391	16	which	which	WDT
14725	391	17	compose	compose	VBP
14725	391	18	them	-PRON-	PRP
14725	391	19	,	,	,
14725	391	20	and	and	CC
14725	391	21	which	which	WDT
14725	391	22	are	be	VBP
14725	391	23	also	also	RB
14725	391	24	larger	large	JJR
14725	391	25	than	than	IN
14725	391	26	those	those	DT
14725	391	27	of	of	IN
14725	391	28	the	the	DT
14725	391	29	ethereal	ethereal	JJ
14725	391	30	matter	matter	NN
14725	391	31	,	,	,
14725	391	32	since	since	IN
14725	391	33	the	the	DT
14725	391	34	latter	latter	JJ
14725	391	35	flows	flow	VBZ
14725	391	36	in	in	IN
14725	391	37	their	-PRON-	PRP$
14725	391	38	interstices	interstice	NNS
14725	391	39	.	.	.
14725	392	1	It	-PRON-	PRP
14725	392	2	is	be	VBZ
14725	392	3	true	true	JJ
14725	392	4	that	that	IN
14725	392	5	there	there	EX
14725	392	6	remains	remain	VBZ
14725	392	7	here	here	RB
14725	392	8	some	some	DT
14725	392	9	difficulty	difficulty	NN
14725	392	10	in	in	IN
14725	392	11	those	those	DT
14725	392	12	experiments	experiment	NNS
14725	392	13	in	in	IN
14725	392	14	which	which	WDT
14725	392	15	this	this	DT
14725	392	16	interior	interior	JJ
14725	392	17	reflexion	reflexion	NN
14725	392	18	occurs	occur	VBZ
14725	392	19	without	without	IN
14725	392	20	the	the	DT
14725	392	21	particles	particle	NNS
14725	392	22	of	of	IN
14725	392	23	air	air	NN
14725	392	24	being	be	VBG
14725	392	25	able	able	JJ
14725	392	26	to	to	TO
14725	392	27	contribute	contribute	VB
14725	392	28	to	to	IN
14725	392	29	it	-PRON-	PRP
14725	392	30	,	,	,
14725	392	31	as	as	IN
14725	392	32	in	in	IN
14725	392	33	vessels	vessel	NNS
14725	392	34	or	or	CC
14725	392	35	tubes	tube	NNS
14725	392	36	from	from	IN
14725	392	37	which	which	WDT
14725	392	38	the	the	DT
14725	392	39	air	air	NN
14725	392	40	has	have	VBZ
14725	392	41	been	be	VBN
14725	392	42	extracted	extract	VBN
14725	392	43	.	.	.
14725	393	1	Experience	experience	NN
14725	393	2	,	,	,
14725	393	3	moreover	moreover	RB
14725	393	4	,	,	,
14725	393	5	teaches	teach	VBZ
14725	393	6	us	-PRON-	PRP
14725	393	7	that	that	IN
14725	393	8	these	these	DT
14725	393	9	two	two	CD
14725	393	10	reflexions	reflexion	NNS
14725	393	11	are	be	VBP
14725	393	12	of	of	IN
14725	393	13	nearly	nearly	RB
14725	393	14	equal	equal	JJ
14725	393	15	force	force	NN
14725	393	16	,	,	,
14725	393	17	and	and	CC
14725	393	18	that	that	IN
14725	393	19	in	in	IN
14725	393	20	different	different	JJ
14725	393	21	transparent	transparent	JJ
14725	393	22	bodies	body	NNS
14725	393	23	they	-PRON-	PRP
14725	393	24	are	be	VBP
14725	393	25	so	so	RB
14725	393	26	much	much	RB
14725	393	27	the	the	DT
14725	393	28	stronger	strong	JJR
14725	393	29	as	as	IN
14725	393	30	the	the	DT
14725	393	31	refraction	refraction	NN
14725	393	32	of	of	IN
14725	393	33	these	these	DT
14725	393	34	bodies	body	NNS
14725	393	35	is	be	VBZ
14725	393	36	the	the	DT
14725	393	37	greater	great	JJR
14725	393	38	.	.	.
14725	394	1	Thus	thus	RB
14725	394	2	one	one	PRP
14725	394	3	sees	see	VBZ
14725	394	4	manifestly	manifestly	RB
14725	394	5	that	that	IN
14725	394	6	the	the	DT
14725	394	7	reflexion	reflexion	NN
14725	394	8	of	of	IN
14725	394	9	glass	glass	NN
14725	394	10	is	be	VBZ
14725	394	11	stronger	strong	JJR
14725	394	12	than	than	IN
14725	394	13	that	that	DT
14725	394	14	of	of	IN
14725	394	15	water	water	NN
14725	394	16	,	,	,
14725	394	17	and	and	CC
14725	394	18	that	that	DT
14725	394	19	of	of	IN
14725	394	20	diamond	diamond	NN
14725	394	21	stronger	strong	JJR
14725	394	22	than	than	IN
14725	394	23	that	that	DT
14725	394	24	of	of	IN
14725	394	25	glass	glass	NN
14725	394	26	.	.	.
14725	395	1	I	-PRON-	PRP
14725	395	2	will	will	MD
14725	395	3	finish	finish	VB
14725	395	4	this	this	DT
14725	395	5	theory	theory	NN
14725	395	6	of	of	IN
14725	395	7	refraction	refraction	NN
14725	395	8	by	by	IN
14725	395	9	demonstrating	demonstrate	VBG
14725	395	10	a	a	DT
14725	395	11	remarkable	remarkable	JJ
14725	395	12	proposition	proposition	NN
14725	395	13	which	which	WDT
14725	395	14	depends	depend	VBZ
14725	395	15	on	on	IN
14725	395	16	it	-PRON-	PRP
14725	395	17	;	;	:
14725	395	18	namely	namely	RB
14725	395	19	,	,	,
14725	395	20	that	that	IN
14725	395	21	a	a	DT
14725	395	22	ray	ray	NN
14725	395	23	of	of	IN
14725	395	24	light	light	NN
14725	395	25	in	in	IN
14725	395	26	order	order	NN
14725	395	27	to	to	TO
14725	395	28	go	go	VB
14725	395	29	from	from	IN
14725	395	30	one	one	CD
14725	395	31	point	point	NN
14725	395	32	to	to	IN
14725	395	33	another	another	DT
14725	395	34	,	,	,
14725	395	35	when	when	WRB
14725	395	36	these	these	DT
14725	395	37	points	point	NNS
14725	395	38	are	be	VBP
14725	395	39	in	in	IN
14725	395	40	different	different	JJ
14725	395	41	media	medium	NNS
14725	395	42	,	,	,
14725	395	43	is	be	VBZ
14725	395	44	refracted	refract	VBN
14725	395	45	in	in	IN
14725	395	46	such	such	JJ
14725	395	47	wise	wise	JJ
14725	395	48	at	at	IN
14725	395	49	the	the	DT
14725	395	50	plane	plane	NN
14725	395	51	surface	surface	NN
14725	395	52	which	which	WDT
14725	395	53	joins	join	VBZ
14725	395	54	these	these	DT
14725	395	55	two	two	CD
14725	395	56	media	medium	NNS
14725	395	57	that	that	WDT
14725	395	58	it	-PRON-	PRP
14725	395	59	employs	employ	VBZ
14725	395	60	the	the	DT
14725	395	61	least	least	JJS
14725	395	62	possible	possible	JJ
14725	395	63	time	time	NN
14725	395	64	:	:	:
14725	395	65	and	and	CC
14725	395	66	exactly	exactly	RB
14725	395	67	the	the	DT
14725	395	68	same	same	JJ
14725	395	69	happens	happen	NNS
14725	395	70	in	in	IN
14725	395	71	the	the	DT
14725	395	72	case	case	NN
14725	395	73	of	of	IN
14725	395	74	reflexion	reflexion	NN
14725	395	75	against	against	IN
14725	395	76	a	a	DT
14725	395	77	plane	plane	NN
14725	395	78	surface	surface	NN
14725	395	79	.	.	.
14725	396	1	Mr.	Mr.	NNP
14725	396	2	Fermat	Fermat	NNP
14725	396	3	was	be	VBD
14725	396	4	the	the	DT
14725	396	5	first	first	JJ
14725	396	6	to	to	TO
14725	396	7	propound	propound	VB
14725	396	8	this	this	DT
14725	396	9	property	property	NN
14725	396	10	of	of	IN
14725	396	11	refraction	refraction	NN
14725	396	12	,	,	,
14725	396	13	holding	hold	VBG
14725	396	14	with	with	IN
14725	396	15	us	-PRON-	PRP
14725	396	16	,	,	,
14725	396	17	and	and	CC
14725	396	18	directly	directly	RB
14725	396	19	counter	counter	VB
14725	396	20	to	to	IN
14725	396	21	the	the	DT
14725	396	22	opinion	opinion	NN
14725	396	23	of	of	IN
14725	396	24	Mr.	Mr.	NNP
14725	396	25	Des	Des	NNP
14725	396	26	Cartes	Cartes	NNP
14725	396	27	,	,	,
14725	396	28	that	that	DT
14725	396	29	light	light	NN
14725	396	30	passes	pass	VBZ
14725	396	31	more	more	RBR
14725	396	32	slowly	slowly	RB
14725	396	33	through	through	IN
14725	396	34	glass	glass	NN
14725	396	35	and	and	CC
14725	396	36	water	water	NN
14725	396	37	than	than	IN
14725	396	38	through	through	IN
14725	396	39	air	air	NN
14725	396	40	.	.	.
14725	397	1	But	but	CC
14725	397	2	he	-PRON-	PRP
14725	397	3	assumed	assume	VBD
14725	397	4	besides	besides	IN
14725	397	5	this	this	DT
14725	397	6	a	a	DT
14725	397	7	constant	constant	JJ
14725	397	8	ratio	ratio	NN
14725	397	9	of	of	IN
14725	397	10	Sines	Sines	NNP
14725	397	11	,	,	,
14725	397	12	which	which	WDT
14725	397	13	we	-PRON-	PRP
14725	397	14	have	have	VBP
14725	397	15	just	just	RB
14725	397	16	proved	prove	VBN
14725	397	17	by	by	IN
14725	397	18	these	these	DT
14725	397	19	different	different	JJ
14725	397	20	degrees	degree	NNS
14725	397	21	of	of	IN
14725	397	22	velocity	velocity	NN
14725	397	23	alone	alone	RB
14725	397	24	:	:	:
14725	397	25	or	or	CC
14725	397	26	rather	rather	RB
14725	397	27	,	,	,
14725	397	28	what	what	WP
14725	397	29	is	be	VBZ
14725	397	30	equivalent	equivalent	JJ
14725	397	31	,	,	,
14725	397	32	he	-PRON-	PRP
14725	397	33	assumed	assume	VBD
14725	397	34	not	not	RB
14725	397	35	only	only	RB
14725	397	36	that	that	IN
14725	397	37	the	the	DT
14725	397	38	velocities	velocity	NNS
14725	397	39	were	be	VBD
14725	397	40	different	different	JJ
14725	397	41	but	but	CC
14725	397	42	that	that	IN
14725	397	43	the	the	DT
14725	397	44	light	light	NN
14725	397	45	took	take	VBD
14725	397	46	the	the	DT
14725	397	47	least	least	JJS
14725	397	48	time	time	NN
14725	397	49	possible	possible	JJ
14725	397	50	for	for	IN
14725	397	51	its	-PRON-	PRP$
14725	397	52	passage	passage	NN
14725	397	53	,	,	,
14725	397	54	and	and	CC
14725	397	55	thence	thence	NN
14725	397	56	deduced	deduce	VBD
14725	397	57	the	the	DT
14725	397	58	constant	constant	JJ
14725	397	59	ratio	ratio	NN
14725	397	60	of	of	IN
14725	397	61	the	the	DT
14725	397	62	Sines	Sines	NNPS
14725	397	63	.	.	.
14725	398	1	His	-PRON-	PRP$
14725	398	2	demonstration	demonstration	NN
14725	398	3	,	,	,
14725	398	4	which	which	WDT
14725	398	5	may	may	MD
14725	398	6	be	be	VB
14725	398	7	seen	see	VBN
14725	398	8	in	in	IN
14725	398	9	his	-PRON-	PRP$
14725	398	10	printed	print	VBN
14725	398	11	works	work	NNS
14725	398	12	,	,	,
14725	398	13	and	and	CC
14725	398	14	in	in	IN
14725	398	15	the	the	DT
14725	398	16	volume	volume	NN
14725	398	17	of	of	IN
14725	398	18	letters	letter	NNS
14725	398	19	of	of	IN
14725	398	20	Mr.	Mr.	NNP
14725	398	21	Des	Des	NNP
14725	398	22	Cartes	Cartes	NNP
14725	398	23	,	,	,
14725	398	24	is	be	VBZ
14725	398	25	very	very	RB
14725	398	26	long	long	JJ
14725	398	27	;	;	:
14725	398	28	wherefore	wherefore	VBN
14725	398	29	I	-PRON-	PRP
14725	398	30	give	give	VBP
14725	398	31	here	here	RB
14725	398	32	another	another	DT
14725	398	33	which	which	WDT
14725	398	34	is	be	VBZ
14725	398	35	simpler	simple	JJR
14725	398	36	and	and	CC
14725	398	37	easier	easy	JJR
14725	398	38	.	.	.
14725	399	1	[	[	-LRB-
14725	399	2	Illustration	illustration	NN
14725	399	3	]	]	-RRB-
14725	399	4	Let	let	VB
14725	399	5	KF	KF	NNP
14725	399	6	be	be	VB
14725	399	7	the	the	DT
14725	399	8	plane	plane	NN
14725	399	9	surface	surface	NN
14725	399	10	;	;	:
14725	399	11	A	a	DT
14725	399	12	the	the	DT
14725	399	13	point	point	NN
14725	399	14	in	in	IN
14725	399	15	the	the	DT
14725	399	16	medium	medium	NN
14725	399	17	which	which	WDT
14725	399	18	the	the	DT
14725	399	19	light	light	NN
14725	399	20	traverses	traverse	VBZ
14725	399	21	more	more	RBR
14725	399	22	easily	easily	RB
14725	399	23	,	,	,
14725	399	24	as	as	IN
14725	399	25	the	the	DT
14725	399	26	air	air	NN
14725	399	27	;	;	:
14725	399	28	C	c	NN
14725	399	29	the	the	DT
14725	399	30	point	point	NN
14725	399	31	in	in	IN
14725	399	32	the	the	DT
14725	399	33	other	other	JJ
14725	399	34	which	which	WDT
14725	399	35	is	be	VBZ
14725	399	36	more	more	RBR
14725	399	37	difficult	difficult	JJ
14725	399	38	to	to	TO
14725	399	39	penetrate	penetrate	VB
14725	399	40	,	,	,
14725	399	41	as	as	IN
14725	399	42	water	water	NN
14725	399	43	.	.	.
14725	400	1	And	and	CC
14725	400	2	suppose	suppose	VB
14725	400	3	that	that	IN
14725	400	4	a	a	DT
14725	400	5	ray	ray	NN
14725	400	6	has	have	VBZ
14725	400	7	come	come	VBN
14725	400	8	from	from	IN
14725	400	9	A	a	DT
14725	400	10	,	,	,
14725	400	11	by	by	IN
14725	400	12	B	b	NN
14725	400	13	,	,	,
14725	400	14	to	to	IN
14725	400	15	C	C	NNP
14725	400	16	,	,	,
14725	400	17	having	have	VBG
14725	400	18	been	be	VBN
14725	400	19	refracted	refract	VBN
14725	400	20	at	at	IN
14725	400	21	B	b	NN
14725	400	22	according	accord	VBG
14725	400	23	to	to	IN
14725	400	24	the	the	DT
14725	400	25	law	law	NN
14725	400	26	demonstrated	demonstrate	VBD
14725	400	27	a	a	DT
14725	400	28	little	little	JJ
14725	400	29	before	before	RB
14725	400	30	;	;	:
14725	400	31	that	that	DT
14725	400	32	is	be	VBZ
14725	400	33	to	to	TO
14725	400	34	say	say	VB
14725	400	35	that	that	IN
14725	400	36	,	,	,
14725	400	37	having	have	VBG
14725	400	38	drawn	draw	VBN
14725	400	39	PBQ	PBQ	NNP
14725	400	40	,	,	,
14725	400	41	which	which	WDT
14725	400	42	cuts	cut	VBZ
14725	400	43	the	the	DT
14725	400	44	plane	plane	NN
14725	400	45	at	at	IN
14725	400	46	right	right	JJ
14725	400	47	angles	angle	NNS
14725	400	48	,	,	,
14725	400	49	let	let	VB
14725	400	50	the	the	DT
14725	400	51	sine	sine	NN
14725	400	52	of	of	IN
14725	400	53	the	the	DT
14725	400	54	angle	angle	NN
14725	400	55	ABP	ABP	NNP
14725	400	56	have	have	VBP
14725	400	57	to	to	IN
14725	400	58	the	the	DT
14725	400	59	sine	sine	NN
14725	400	60	of	of	IN
14725	400	61	the	the	DT
14725	400	62	angle	angle	NN
14725	400	63	CBQ	CBQ	NNP
14725	400	64	the	the	DT
14725	400	65	same	same	JJ
14725	400	66	ratio	ratio	NN
14725	400	67	as	as	IN
14725	400	68	the	the	DT
14725	400	69	velocity	velocity	NN
14725	400	70	of	of	IN
14725	400	71	light	light	NN
14725	400	72	in	in	IN
14725	400	73	the	the	DT
14725	400	74	medium	medium	NN
14725	400	75	where	where	WRB
14725	400	76	A	a	DT
14725	400	77	is	be	VBZ
14725	400	78	to	to	IN
14725	400	79	the	the	DT
14725	400	80	velocity	velocity	NN
14725	400	81	of	of	IN
14725	400	82	light	light	NN
14725	400	83	in	in	IN
14725	400	84	the	the	DT
14725	400	85	medium	medium	NN
14725	400	86	where	where	WRB
14725	400	87	C	C	NNP
14725	400	88	is	be	VBZ
14725	400	89	.	.	.
14725	401	1	It	-PRON-	PRP
14725	401	2	is	be	VBZ
14725	401	3	to	to	TO
14725	401	4	be	be	VB
14725	401	5	shown	show	VBN
14725	401	6	that	that	IN
14725	401	7	the	the	DT
14725	401	8	time	time	NN
14725	401	9	of	of	IN
14725	401	10	passage	passage	NN
14725	401	11	of	of	IN
14725	401	12	light	light	NN
14725	401	13	along	along	IN
14725	401	14	AB	AB	NNP
14725	401	15	and	and	CC
14725	401	16	BC	BC	NNP
14725	401	17	taken	take	VBN
14725	401	18	together	together	RB
14725	401	19	,	,	,
14725	401	20	is	be	VBZ
14725	401	21	the	the	DT
14725	401	22	shortest	short	JJS
14725	401	23	that	that	WDT
14725	401	24	can	can	MD
14725	401	25	be	be	VB
14725	401	26	.	.	.
14725	402	1	Let	let	VB
14725	402	2	us	-PRON-	PRP
14725	402	3	assume	assume	VB
14725	402	4	that	that	IN
14725	402	5	it	-PRON-	PRP
14725	402	6	may	may	MD
14725	402	7	have	have	VB
14725	402	8	come	come	VBN
14725	402	9	by	by	IN
14725	402	10	other	other	JJ
14725	402	11	lines	line	NNS
14725	402	12	,	,	,
14725	402	13	and	and	CC
14725	402	14	,	,	,
14725	402	15	in	in	IN
14725	402	16	the	the	DT
14725	402	17	first	first	JJ
14725	402	18	place	place	NN
14725	402	19	,	,	,
14725	402	20	along	along	IN
14725	402	21	AF	AF	NNP
14725	402	22	,	,	,
14725	402	23	FC	FC	NNP
14725	402	24	,	,	,
14725	402	25	so	so	IN
14725	402	26	that	that	IN
14725	402	27	the	the	DT
14725	402	28	point	point	NN
14725	402	29	of	of	IN
14725	402	30	refraction	refraction	NN
14725	402	31	F	F	NNP
14725	402	32	may	may	MD
14725	402	33	be	be	VB
14725	402	34	further	further	JJ
14725	402	35	from	from	IN
14725	402	36	B	b	NN
14725	402	37	than	than	IN
14725	402	38	the	the	DT
14725	402	39	point	point	NN
14725	402	40	A	a	NN
14725	402	41	;	;	:
14725	402	42	and	and	CC
14725	402	43	let	let	VB
14725	402	44	AO	AO	NNP
14725	402	45	be	be	VB
14725	402	46	a	a	DT
14725	402	47	line	line	NN
14725	402	48	perpendicular	perpendicular	JJ
14725	402	49	to	to	IN
14725	402	50	AB	AB	NNP
14725	402	51	,	,	,
14725	402	52	and	and	CC
14725	402	53	FO	FO	NNP
14725	402	54	parallel	parallel	NN
14725	402	55	to	to	IN
14725	402	56	AB	AB	NNP
14725	402	57	;	;	:
14725	402	58	BH	BH	NNP
14725	402	59	perpendicular	perpendicular	JJ
14725	402	60	to	to	IN
14725	402	61	FO	FO	NNP
14725	402	62	,	,	,
14725	402	63	and	and	CC
14725	402	64	FG	FG	NNP
14725	402	65	to	to	IN
14725	402	66	BC	BC	NNP
14725	402	67	.	.	.
14725	403	1	Since	since	IN
14725	403	2	then	then	RB
14725	403	3	the	the	DT
14725	403	4	angle	angle	NN
14725	403	5	HBF	HBF	NNP
14725	403	6	is	be	VBZ
14725	403	7	equal	equal	JJ
14725	403	8	to	to	IN
14725	403	9	PBA	PBA	NNP
14725	403	10	,	,	,
14725	403	11	and	and	CC
14725	403	12	the	the	DT
14725	403	13	angle	angle	NN
14725	403	14	BFG	BFG	NNP
14725	403	15	equal	equal	JJ
14725	403	16	to	to	IN
14725	403	17	QBC	QBC	NNP
14725	403	18	,	,	,
14725	403	19	it	-PRON-	PRP
14725	403	20	follows	follow	VBZ
14725	403	21	that	that	IN
14725	403	22	the	the	DT
14725	403	23	sine	sine	NN
14725	403	24	of	of	IN
14725	403	25	the	the	DT
14725	403	26	angle	angle	NN
14725	403	27	HBF	HBF	NNP
14725	403	28	will	will	MD
14725	403	29	also	also	RB
14725	403	30	have	have	VB
14725	403	31	the	the	DT
14725	403	32	same	same	JJ
14725	403	33	ratio	ratio	NN
14725	403	34	to	to	IN
14725	403	35	the	the	DT
14725	403	36	sine	sine	NN
14725	403	37	of	of	IN
14725	403	38	BFG	BFG	NNP
14725	403	39	,	,	,
14725	403	40	as	as	IN
14725	403	41	the	the	DT
14725	403	42	velocity	velocity	NN
14725	403	43	of	of	IN
14725	403	44	light	light	NN
14725	403	45	in	in	IN
14725	403	46	the	the	DT
14725	403	47	medium	medium	JJ
14725	403	48	A	a	NN
14725	403	49	is	be	VBZ
14725	403	50	to	to	IN
14725	403	51	its	-PRON-	PRP$
14725	403	52	velocity	velocity	NN
14725	403	53	in	in	IN
14725	403	54	the	the	DT
14725	403	55	medium	medium	NN
14725	403	56	C.	C.	NNP
14725	403	57	But	but	CC
14725	403	58	these	these	DT
14725	403	59	sines	sine	NNS
14725	403	60	are	be	VBP
14725	403	61	the	the	DT
14725	403	62	straight	straight	JJ
14725	403	63	lines	line	NNS
14725	403	64	HF	HF	NNP
14725	403	65	,	,	,
14725	403	66	BG	BG	NNP
14725	403	67	,	,	,
14725	403	68	if	if	IN
14725	403	69	we	-PRON-	PRP
14725	403	70	take	take	VBP
14725	403	71	BF	BF	NNP
14725	403	72	as	as	IN
14725	403	73	the	the	DT
14725	403	74	semi	semi	JJ
14725	403	75	-	-	JJ
14725	403	76	diameter	diameter	NN
14725	403	77	of	of	IN
14725	403	78	a	a	DT
14725	403	79	circle	circle	NN
14725	403	80	.	.	.
14725	404	1	Then	then	RB
14725	404	2	these	these	DT
14725	404	3	lines	line	NNS
14725	404	4	HF	HF	NNP
14725	404	5	,	,	,
14725	404	6	BG	BG	NNP
14725	404	7	,	,	,
14725	404	8	will	will	MD
14725	404	9	bear	bear	VB
14725	404	10	to	to	IN
14725	404	11	one	one	CD
14725	404	12	another	another	DT
14725	404	13	the	the	DT
14725	404	14	said	said	JJ
14725	404	15	ratio	ratio	NN
14725	404	16	of	of	IN
14725	404	17	the	the	DT
14725	404	18	velocities	velocity	NNS
14725	404	19	.	.	.
14725	405	1	And	and	CC
14725	405	2	,	,	,
14725	405	3	therefore	therefore	RB
14725	405	4	,	,	,
14725	405	5	the	the	DT
14725	405	6	time	time	NN
14725	405	7	of	of	IN
14725	405	8	the	the	DT
14725	405	9	light	light	NN
14725	405	10	along	along	IN
14725	405	11	HF	HF	NNP
14725	405	12	,	,	,
14725	405	13	supposing	suppose	VBG
14725	405	14	that	that	IN
14725	405	15	the	the	DT
14725	405	16	ray	ray	NN
14725	405	17	had	have	VBD
14725	405	18	been	be	VBN
14725	405	19	OF	of	IN
14725	405	20	,	,	,
14725	405	21	would	would	MD
14725	405	22	be	be	VB
14725	405	23	equal	equal	JJ
14725	405	24	to	to	IN
14725	405	25	the	the	DT
14725	405	26	time	time	NN
14725	405	27	along	along	IN
14725	405	28	BG	BG	NNP
14725	405	29	in	in	IN
14725	405	30	the	the	DT
14725	405	31	interior	interior	NN
14725	405	32	of	of	IN
14725	405	33	the	the	DT
14725	405	34	medium	medium	NN
14725	405	35	C.	C.	NNP
14725	405	36	But	but	CC
14725	405	37	the	the	DT
14725	405	38	time	time	NN
14725	405	39	along	along	IN
14725	405	40	AB	AB	NNP
14725	405	41	is	be	VBZ
14725	405	42	equal	equal	JJ
14725	405	43	to	to	IN
14725	405	44	the	the	DT
14725	405	45	time	time	NN
14725	405	46	along	along	IN
14725	405	47	OH	OH	NNP
14725	405	48	;	;	:
14725	405	49	therefore	therefore	RB
14725	405	50	the	the	DT
14725	405	51	time	time	NN
14725	405	52	along	along	IN
14725	405	53	OF	of	IN
14725	405	54	is	be	VBZ
14725	405	55	equal	equal	JJ
14725	405	56	to	to	IN
14725	405	57	the	the	DT
14725	405	58	time	time	NN
14725	405	59	along	along	IN
14725	405	60	AB	AB	NNP
14725	405	61	,	,	,
14725	405	62	BG	BG	NNP
14725	405	63	.	.	.
14725	406	1	Again	again	RB
14725	406	2	the	the	DT
14725	406	3	time	time	NN
14725	406	4	along	along	IN
14725	406	5	FC	FC	NNP
14725	406	6	is	be	VBZ
14725	406	7	greater	great	JJR
14725	406	8	than	than	IN
14725	406	9	that	that	DT
14725	406	10	along	along	IN
14725	406	11	GC	GC	NNP
14725	406	12	;	;	:
14725	406	13	then	then	RB
14725	406	14	the	the	DT
14725	406	15	time	time	NN
14725	406	16	along	along	IN
14725	406	17	OFC	OFC	NNP
14725	406	18	will	will	MD
14725	406	19	be	be	VB
14725	406	20	longer	long	JJR
14725	406	21	than	than	IN
14725	406	22	that	that	DT
14725	406	23	along	along	IN
14725	406	24	ABC	ABC	NNP
14725	406	25	.	.	.
14725	407	1	But	but	CC
14725	407	2	AF	AF	NNP
14725	407	3	is	be	VBZ
14725	407	4	longer	long	JJR
14725	407	5	than	than	IN
14725	407	6	OF	of	RB
14725	407	7	,	,	,
14725	407	8	then	then	RB
14725	407	9	the	the	DT
14725	407	10	time	time	NN
14725	407	11	along	along	IN
14725	407	12	AFC	AFC	NNP
14725	407	13	will	will	MD
14725	407	14	by	by	IN
14725	407	15	just	just	RB
14725	407	16	so	so	RB
14725	407	17	much	much	RB
14725	407	18	more	more	JJR
14725	407	19	exceed	exceed	VBP
14725	407	20	the	the	DT
14725	407	21	time	time	NN
14725	407	22	along	along	IN
14725	407	23	ABC	ABC	NNP
14725	407	24	.	.	.
14725	408	1	Now	now	RB
14725	408	2	let	let	VB
14725	408	3	us	-PRON-	PRP
14725	408	4	assume	assume	VB
14725	408	5	that	that	IN
14725	408	6	the	the	DT
14725	408	7	ray	ray	NN
14725	408	8	has	have	VBZ
14725	408	9	come	come	VBN
14725	408	10	from	from	IN
14725	408	11	A	a	NN
14725	408	12	to	to	IN
14725	408	13	C	c	NN
14725	408	14	along	along	IN
14725	408	15	AK	AK	NNP
14725	408	16	,	,	,
14725	408	17	KC	KC	NNP
14725	408	18	;	;	:
14725	408	19	the	the	DT
14725	408	20	point	point	NN
14725	408	21	of	of	IN
14725	408	22	refraction	refraction	NN
14725	408	23	K	k	NN
14725	408	24	being	be	VBG
14725	408	25	nearer	near	JJR
14725	408	26	to	to	IN
14725	408	27	A	a	NN
14725	408	28	than	than	IN
14725	408	29	the	the	DT
14725	408	30	point	point	NN
14725	408	31	B	b	NN
14725	408	32	is	be	VBZ
14725	408	33	;	;	:
14725	408	34	and	and	CC
14725	408	35	let	let	VB
14725	408	36	CN	CN	NNP
14725	408	37	be	be	VB
14725	408	38	the	the	DT
14725	408	39	perpendicular	perpendicular	JJ
14725	408	40	upon	upon	IN
14725	408	41	BC	BC	NNP
14725	408	42	,	,	,
14725	408	43	KN	KN	NNP
14725	408	44	parallel	parallel	NN
14725	408	45	to	to	IN
14725	408	46	BC	BC	NNP
14725	408	47	:	:	:
14725	408	48	BM	BM	NNP
14725	408	49	perpendicular	perpendicular	JJ
14725	408	50	upon	upon	IN
14725	408	51	KN	KN	NNP
14725	408	52	,	,	,
14725	408	53	and	and	CC
14725	408	54	KL	KL	NNP
14725	408	55	upon	upon	IN
14725	408	56	BA	BA	NNP
14725	408	57	.	.	.
14725	409	1	Here	here	RB
14725	409	2	BL	BL	NNP
14725	409	3	and	and	CC
14725	409	4	KM	KM	NNP
14725	409	5	are	be	VBP
14725	409	6	the	the	DT
14725	409	7	sines	sine	NNS
14725	409	8	of	of	IN
14725	409	9	angles	angles	NNP
14725	409	10	BKL	BKL	NNP
14725	409	11	,	,	,
14725	409	12	KBM	KBM	NNP
14725	409	13	;	;	:
14725	409	14	that	that	DT
14725	409	15	is	be	VBZ
14725	409	16	to	to	TO
14725	409	17	say	say	VB
14725	409	18	,	,	,
14725	409	19	of	of	IN
14725	409	20	the	the	DT
14725	409	21	angles	angle	NNS
14725	409	22	PBA	PBA	NNP
14725	409	23	,	,	,
14725	409	24	QBC	QBC	NNP
14725	409	25	;	;	:
14725	409	26	and	and	CC
14725	409	27	therefore	therefore	RB
14725	409	28	they	-PRON-	PRP
14725	409	29	are	be	VBP
14725	409	30	to	to	IN
14725	409	31	one	one	CD
14725	409	32	another	another	DT
14725	409	33	as	as	IN
14725	409	34	the	the	DT
14725	409	35	velocity	velocity	NN
14725	409	36	of	of	IN
14725	409	37	light	light	NN
14725	409	38	in	in	IN
14725	409	39	the	the	DT
14725	409	40	medium	medium	NN
14725	409	41	A	a	NN
14725	409	42	is	be	VBZ
14725	409	43	to	to	IN
14725	409	44	the	the	DT
14725	409	45	velocity	velocity	NN
14725	409	46	in	in	IN
14725	409	47	the	the	DT
14725	409	48	medium	medium	NN
14725	409	49	C.	C.	NNP
14725	409	50	Then	then	RB
14725	409	51	the	the	DT
14725	409	52	time	time	NN
14725	409	53	along	along	IN
14725	409	54	LB	LB	NNP
14725	409	55	is	be	VBZ
14725	409	56	equal	equal	JJ
14725	409	57	to	to	IN
14725	409	58	the	the	DT
14725	409	59	time	time	NN
14725	409	60	along	along	IN
14725	409	61	KM	KM	NNP
14725	409	62	;	;	:
14725	409	63	and	and	CC
14725	409	64	since	since	IN
14725	409	65	the	the	DT
14725	409	66	time	time	NN
14725	409	67	along	along	IN
14725	409	68	BC	BC	NNP
14725	409	69	is	be	VBZ
14725	409	70	equal	equal	JJ
14725	409	71	to	to	IN
14725	409	72	the	the	DT
14725	409	73	time	time	NN
14725	409	74	along	along	IN
14725	409	75	MN	MN	NNP
14725	409	76	,	,	,
14725	409	77	the	the	DT
14725	409	78	time	time	NN
14725	409	79	along	along	IN
14725	409	80	LBC	LBC	NNP
14725	409	81	will	will	MD
14725	409	82	be	be	VB
14725	409	83	equal	equal	JJ
14725	409	84	to	to	IN
14725	409	85	the	the	DT
14725	409	86	time	time	NN
14725	409	87	along	along	IN
14725	409	88	KMN	KMN	NNP
14725	409	89	.	.	.
14725	410	1	But	but	CC
14725	410	2	the	the	DT
14725	410	3	time	time	NN
14725	410	4	along	along	IN
14725	410	5	AK	AK	NNP
14725	410	6	is	be	VBZ
14725	410	7	longer	long	JJR
14725	410	8	than	than	IN
14725	410	9	that	that	DT
14725	410	10	along	along	IN
14725	410	11	AL	AL	NNP
14725	410	12	:	:	:
14725	410	13	hence	hence	RB
14725	410	14	the	the	DT
14725	410	15	time	time	NN
14725	410	16	along	along	IN
14725	410	17	AKN	AKN	NNP
14725	410	18	is	be	VBZ
14725	410	19	longer	long	JJR
14725	410	20	than	than	IN
14725	410	21	that	that	DT
14725	410	22	along	along	IN
14725	410	23	ABC	ABC	NNP
14725	410	24	.	.	.
14725	411	1	And	and	CC
14725	411	2	KC	KC	NNP
14725	411	3	being	be	VBG
14725	411	4	longer	long	JJR
14725	411	5	than	than	IN
14725	411	6	KN	KN	NNP
14725	411	7	,	,	,
14725	411	8	the	the	DT
14725	411	9	time	time	NN
14725	411	10	along	along	IN
14725	411	11	AKC	AKC	NNP
14725	411	12	will	will	MD
14725	411	13	exceed	exceed	VB
14725	411	14	,	,	,
14725	411	15	by	by	IN
14725	411	16	as	as	RB
14725	411	17	much	much	RB
14725	411	18	more	more	JJR
14725	411	19	,	,	,
14725	411	20	the	the	DT
14725	411	21	time	time	NN
14725	411	22	along	along	IN
14725	411	23	ABC	ABC	NNP
14725	411	24	.	.	.
14725	412	1	Hence	hence	RB
14725	412	2	it	-PRON-	PRP
14725	412	3	appears	appear	VBZ
14725	412	4	that	that	IN
14725	412	5	the	the	DT
14725	412	6	time	time	NN
14725	412	7	along	along	IN
14725	412	8	ABC	ABC	NNP
14725	412	9	is	be	VBZ
14725	412	10	the	the	DT
14725	412	11	shortest	shortest	RBS
14725	412	12	possible	possible	JJ
14725	412	13	;	;	:
14725	412	14	which	which	WDT
14725	412	15	was	be	VBD
14725	412	16	to	to	TO
14725	412	17	be	be	VB
14725	412	18	proven	prove	VBN
14725	412	19	.	.	.
14725	413	1	CHAPTER	CHAPTER	NNP
14725	413	2	IV	IV	NNP
14725	413	3	ON	on	IN
14725	413	4	THE	the	DT
14725	413	5	REFRACTION	refraction	NN
14725	413	6	OF	of	IN
14725	413	7	THE	the	DT
14725	413	8	AIR	AIR	NNP
14725	413	9	We	-PRON-	PRP
14725	413	10	have	have	VBP
14725	413	11	shown	show	VBN
14725	413	12	how	how	WRB
14725	413	13	the	the	DT
14725	413	14	movement	movement	NN
14725	413	15	which	which	WDT
14725	413	16	constitutes	constitute	VBZ
14725	413	17	light	light	JJ
14725	413	18	spreads	spread	NNS
14725	413	19	by	by	IN
14725	413	20	spherical	spherical	JJ
14725	413	21	waves	wave	NNS
14725	413	22	in	in	IN
14725	413	23	any	any	DT
14725	413	24	homogeneous	homogeneous	JJ
14725	413	25	matter	matter	NN
14725	413	26	.	.	.
14725	414	1	And	and	CC
14725	414	2	it	-PRON-	PRP
14725	414	3	is	be	VBZ
14725	414	4	evident	evident	JJ
14725	414	5	that	that	IN
14725	414	6	when	when	WRB
14725	414	7	the	the	DT
14725	414	8	matter	matter	NN
14725	414	9	is	be	VBZ
14725	414	10	not	not	RB
14725	414	11	homogeneous	homogeneous	JJ
14725	414	12	,	,	,
14725	414	13	but	but	CC
14725	414	14	of	of	IN
14725	414	15	such	such	PDT
14725	414	16	a	a	DT
14725	414	17	constitution	constitution	NN
14725	414	18	that	that	IN
14725	414	19	the	the	DT
14725	414	20	movement	movement	NN
14725	414	21	is	be	VBZ
14725	414	22	communicated	communicate	VBN
14725	414	23	in	in	IN
14725	414	24	it	-PRON-	PRP
14725	414	25	more	more	RBR
14725	414	26	rapidly	rapidly	RB
14725	414	27	toward	toward	IN
14725	414	28	one	one	CD
14725	414	29	side	side	NN
14725	414	30	than	than	IN
14725	414	31	toward	toward	IN
14725	414	32	another	another	DT
14725	414	33	,	,	,
14725	414	34	these	these	DT
14725	414	35	waves	wave	NNS
14725	414	36	can	can	MD
14725	414	37	not	not	RB
14725	414	38	be	be	VB
14725	414	39	spherical	spherical	JJ
14725	414	40	:	:	:
14725	414	41	but	but	CC
14725	414	42	that	that	IN
14725	414	43	they	-PRON-	PRP
14725	414	44	must	must	MD
14725	414	45	acquire	acquire	VB
14725	414	46	their	-PRON-	PRP$
14725	414	47	figure	figure	NN
14725	414	48	according	accord	VBG
14725	414	49	to	to	IN
14725	414	50	the	the	DT
14725	414	51	different	different	JJ
14725	414	52	distances	distance	NNS
14725	414	53	over	over	IN
14725	414	54	which	which	WDT
14725	414	55	the	the	DT
14725	414	56	successive	successive	JJ
14725	414	57	movement	movement	NN
14725	414	58	passes	pass	VBZ
14725	414	59	in	in	IN
14725	414	60	equal	equal	JJ
14725	414	61	times	time	NNS
14725	414	62	.	.	.
14725	415	1	It	-PRON-	PRP
14725	415	2	is	be	VBZ
14725	415	3	thus	thus	RB
14725	415	4	that	that	IN
14725	415	5	we	-PRON-	PRP
14725	415	6	shall	shall	MD
14725	415	7	in	in	IN
14725	415	8	the	the	DT
14725	415	9	first	first	JJ
14725	415	10	place	place	NN
14725	415	11	explain	explain	VBP
14725	415	12	the	the	DT
14725	415	13	refractions	refraction	NNS
14725	415	14	which	which	WDT
14725	415	15	occur	occur	VBP
14725	415	16	in	in	IN
14725	415	17	the	the	DT
14725	415	18	air	air	NN
14725	415	19	,	,	,
14725	415	20	which	which	WDT
14725	415	21	extends	extend	VBZ
14725	415	22	from	from	IN
14725	415	23	here	here	RB
14725	415	24	to	to	IN
14725	415	25	the	the	DT
14725	415	26	clouds	cloud	NNS
14725	415	27	and	and	CC
14725	415	28	beyond	beyond	IN
14725	415	29	.	.	.
14725	416	1	The	the	DT
14725	416	2	effects	effect	NNS
14725	416	3	of	of	IN
14725	416	4	which	which	WDT
14725	416	5	refractions	refraction	NNS
14725	416	6	are	be	VBP
14725	416	7	very	very	RB
14725	416	8	remarkable	remarkable	JJ
14725	416	9	;	;	:
14725	416	10	for	for	IN
14725	416	11	by	by	IN
14725	416	12	them	-PRON-	PRP
14725	416	13	we	-PRON-	PRP
14725	416	14	often	often	RB
14725	416	15	see	see	VBP
14725	416	16	objects	object	NNS
14725	416	17	which	which	WDT
14725	416	18	the	the	DT
14725	416	19	rotundity	rotundity	NN
14725	416	20	of	of	IN
14725	416	21	the	the	DT
14725	416	22	Earth	Earth	NNP
14725	416	23	ought	ought	MD
14725	416	24	otherwise	otherwise	RB
14725	416	25	to	to	TO
14725	416	26	hide	hide	VB
14725	416	27	;	;	:
14725	416	28	such	such	JJ
14725	416	29	as	as	IN
14725	416	30	Islands	Islands	NNPS
14725	416	31	,	,	,
14725	416	32	and	and	CC
14725	416	33	the	the	DT
14725	416	34	tops	top	NNS
14725	416	35	of	of	IN
14725	416	36	mountains	mountain	NNS
14725	416	37	when	when	WRB
14725	416	38	one	one	CD
14725	416	39	is	be	VBZ
14725	416	40	at	at	IN
14725	416	41	sea	sea	NN
14725	416	42	.	.	.
14725	417	1	Because	because	IN
14725	417	2	also	also	RB
14725	417	3	of	of	IN
14725	417	4	them	-PRON-	PRP
14725	417	5	the	the	DT
14725	417	6	Sun	Sun	NNP
14725	417	7	and	and	CC
14725	417	8	the	the	DT
14725	417	9	Moon	Moon	NNP
14725	417	10	appear	appear	VBP
14725	417	11	as	as	IN
14725	417	12	risen	rise	VBN
14725	417	13	before	before	RB
14725	417	14	in	in	IN
14725	417	15	fact	fact	NN
14725	417	16	they	-PRON-	PRP
14725	417	17	have	have	VBP
14725	417	18	,	,	,
14725	417	19	and	and	CC
14725	417	20	appear	appear	VB
14725	417	21	to	to	TO
14725	417	22	set	set	VB
14725	417	23	later	later	RB
14725	417	24	:	:	:
14725	417	25	so	so	IN
14725	417	26	that	that	IN
14725	417	27	at	at	IN
14725	417	28	times	time	NNS
14725	417	29	the	the	DT
14725	417	30	Moon	Moon	NNP
14725	417	31	has	have	VBZ
14725	417	32	been	be	VBN
14725	417	33	seen	see	VBN
14725	417	34	eclipsed	eclipse	VBN
14725	417	35	while	while	IN
14725	417	36	the	the	DT
14725	417	37	Sun	Sun	NNP
14725	417	38	appeared	appear	VBD
14725	417	39	still	still	RB
14725	417	40	above	above	IN
14725	417	41	the	the	DT
14725	417	42	horizon	horizon	NN
14725	417	43	.	.	.
14725	418	1	And	and	CC
14725	418	2	so	so	RB
14725	418	3	also	also	RB
14725	418	4	the	the	DT
14725	418	5	heights	height	NNS
14725	418	6	of	of	IN
14725	418	7	the	the	DT
14725	418	8	Sun	Sun	NNP
14725	418	9	and	and	CC
14725	418	10	of	of	IN
14725	418	11	the	the	DT
14725	418	12	Moon	Moon	NNP
14725	418	13	,	,	,
14725	418	14	and	and	CC
14725	418	15	those	those	DT
14725	418	16	of	of	IN
14725	418	17	all	all	PDT
14725	418	18	the	the	DT
14725	418	19	Stars	Stars	NNPS
14725	418	20	always	always	RB
14725	418	21	appear	appear	VBP
14725	418	22	a	a	DT
14725	418	23	little	little	JJ
14725	418	24	greater	great	JJR
14725	418	25	than	than	IN
14725	418	26	they	-PRON-	PRP
14725	418	27	are	be	VBP
14725	418	28	in	in	IN
14725	418	29	reality	reality	NN
14725	418	30	,	,	,
14725	418	31	because	because	IN
14725	418	32	of	of	IN
14725	418	33	these	these	DT
14725	418	34	same	same	JJ
14725	418	35	refractions	refraction	NNS
14725	418	36	,	,	,
14725	418	37	as	as	IN
14725	418	38	Astronomers	astronomer	NNS
14725	418	39	know	know	VBP
14725	418	40	.	.	.
14725	419	1	But	but	CC
14725	419	2	there	there	EX
14725	419	3	is	be	VBZ
14725	419	4	one	one	CD
14725	419	5	experiment	experiment	NN
14725	419	6	which	which	WDT
14725	419	7	renders	render	VBZ
14725	419	8	this	this	DT
14725	419	9	refraction	refraction	NN
14725	419	10	very	very	RB
14725	419	11	evident	evident	JJ
14725	419	12	;	;	:
14725	419	13	which	which	WDT
14725	419	14	is	be	VBZ
14725	419	15	that	that	DT
14725	419	16	of	of	IN
14725	419	17	fixing	fix	VBG
14725	419	18	a	a	DT
14725	419	19	telescope	telescope	NN
14725	419	20	on	on	IN
14725	419	21	some	some	DT
14725	419	22	spot	spot	NN
14725	419	23	so	so	IN
14725	419	24	that	that	IN
14725	419	25	it	-PRON-	PRP
14725	419	26	views	view	VBZ
14725	419	27	an	an	DT
14725	419	28	object	object	NN
14725	419	29	,	,	,
14725	419	30	such	such	JJ
14725	419	31	as	as	IN
14725	419	32	a	a	DT
14725	419	33	steeple	steeple	NN
14725	419	34	or	or	CC
14725	419	35	a	a	DT
14725	419	36	house	house	NN
14725	419	37	,	,	,
14725	419	38	at	at	IN
14725	419	39	a	a	DT
14725	419	40	distance	distance	NN
14725	419	41	of	of	IN
14725	419	42	half	half	PDT
14725	419	43	a	a	DT
14725	419	44	league	league	NN
14725	419	45	or	or	CC
14725	419	46	more	more	JJR
14725	419	47	.	.	.
14725	420	1	If	if	IN
14725	420	2	then	then	RB
14725	420	3	you	-PRON-	PRP
14725	420	4	look	look	VBP
14725	420	5	through	through	IN
14725	420	6	it	-PRON-	PRP
14725	420	7	at	at	IN
14725	420	8	different	different	JJ
14725	420	9	hours	hour	NNS
14725	420	10	of	of	IN
14725	420	11	the	the	DT
14725	420	12	day	day	NN
14725	420	13	,	,	,
14725	420	14	leaving	leave	VBG
14725	420	15	it	-PRON-	PRP
14725	420	16	always	always	RB
14725	420	17	fixed	fix	VBN
14725	420	18	in	in	IN
14725	420	19	the	the	DT
14725	420	20	same	same	JJ
14725	420	21	way	way	NN
14725	420	22	,	,	,
14725	420	23	you	-PRON-	PRP
14725	420	24	will	will	MD
14725	420	25	see	see	VB
14725	420	26	that	that	IN
14725	420	27	the	the	DT
14725	420	28	same	same	JJ
14725	420	29	spots	spot	NNS
14725	420	30	of	of	IN
14725	420	31	the	the	DT
14725	420	32	object	object	NN
14725	420	33	will	will	MD
14725	420	34	not	not	RB
14725	420	35	always	always	RB
14725	420	36	appear	appear	VB
14725	420	37	at	at	IN
14725	420	38	the	the	DT
14725	420	39	middle	middle	NN
14725	420	40	of	of	IN
14725	420	41	the	the	DT
14725	420	42	aperture	aperture	NN
14725	420	43	of	of	IN
14725	420	44	the	the	DT
14725	420	45	telescope	telescope	NN
14725	420	46	,	,	,
14725	420	47	but	but	CC
14725	420	48	that	that	IN
14725	420	49	generally	generally	RB
14725	420	50	in	in	IN
14725	420	51	the	the	DT
14725	420	52	morning	morning	NN
14725	420	53	and	and	CC
14725	420	54	in	in	IN
14725	420	55	the	the	DT
14725	420	56	evening	evening	NN
14725	420	57	,	,	,
14725	420	58	when	when	WRB
14725	420	59	there	there	EX
14725	420	60	are	be	VBP
14725	420	61	more	more	JJR
14725	420	62	vapours	vapour	NNS
14725	420	63	near	near	IN
14725	420	64	the	the	DT
14725	420	65	Earth	Earth	NNP
14725	420	66	,	,	,
14725	420	67	these	these	DT
14725	420	68	objects	object	NNS
14725	420	69	seem	seem	VBP
14725	420	70	to	to	TO
14725	420	71	rise	rise	VB
14725	420	72	higher	higher	RBR
14725	420	73	,	,	,
14725	420	74	so	so	IN
14725	420	75	that	that	IN
14725	420	76	the	the	DT
14725	420	77	half	half	NN
14725	420	78	or	or	CC
14725	420	79	more	more	JJR
14725	420	80	of	of	IN
14725	420	81	them	-PRON-	PRP
14725	420	82	will	will	MD
14725	420	83	no	no	RB
14725	420	84	longer	longer	RB
14725	420	85	be	be	VB
14725	420	86	visible	visible	JJ
14725	420	87	;	;	:
14725	420	88	and	and	CC
14725	420	89	so	so	IN
14725	420	90	that	that	IN
14725	420	91	they	-PRON-	PRP
14725	420	92	seem	seem	VBP
14725	420	93	lower	low	JJR
14725	420	94	toward	toward	IN
14725	420	95	mid	mid	NN
14725	420	96	-	-	NN
14725	420	97	day	day	NN
14725	420	98	when	when	WRB
14725	420	99	these	these	DT
14725	420	100	vapours	vapour	NNS
14725	420	101	are	be	VBP
14725	420	102	dissipated	dissipate	VBN
14725	420	103	.	.	.
14725	421	1	Those	those	DT
14725	421	2	who	who	WP
14725	421	3	consider	consider	VBP
14725	421	4	refraction	refraction	NN
14725	421	5	to	to	TO
14725	421	6	occur	occur	VB
14725	421	7	only	only	RB
14725	421	8	in	in	IN
14725	421	9	the	the	DT
14725	421	10	surfaces	surface	NNS
14725	421	11	which	which	WDT
14725	421	12	separate	separate	VBP
14725	421	13	transparent	transparent	JJ
14725	421	14	bodies	body	NNS
14725	421	15	of	of	IN
14725	421	16	different	different	JJ
14725	421	17	nature	nature	NN
14725	421	18	,	,	,
14725	421	19	would	would	MD
14725	421	20	find	find	VB
14725	421	21	it	-PRON-	PRP
14725	421	22	difficult	difficult	JJ
14725	421	23	to	to	TO
14725	421	24	give	give	VB
14725	421	25	a	a	DT
14725	421	26	reason	reason	NN
14725	421	27	for	for	IN
14725	421	28	all	all	DT
14725	421	29	that	that	WDT
14725	421	30	I	-PRON-	PRP
14725	421	31	have	have	VBP
14725	421	32	just	just	RB
14725	421	33	related	relate	VBN
14725	421	34	;	;	:
14725	421	35	but	but	CC
14725	421	36	according	accord	VBG
14725	421	37	to	to	IN
14725	421	38	our	-PRON-	PRP$
14725	421	39	Theory	theory	NN
14725	421	40	the	the	DT
14725	421	41	thing	thing	NN
14725	421	42	is	be	VBZ
14725	421	43	quite	quite	RB
14725	421	44	easy	easy	JJ
14725	421	45	.	.	.
14725	422	1	It	-PRON-	PRP
14725	422	2	is	be	VBZ
14725	422	3	known	know	VBN
14725	422	4	that	that	IN
14725	422	5	the	the	DT
14725	422	6	air	air	NN
14725	422	7	which	which	WDT
14725	422	8	surrounds	surround	VBZ
14725	422	9	us	-PRON-	PRP
14725	422	10	,	,	,
14725	422	11	besides	besides	IN
14725	422	12	the	the	DT
14725	422	13	particles	particle	NNS
14725	422	14	which	which	WDT
14725	422	15	are	be	VBP
14725	422	16	proper	proper	JJ
14725	422	17	to	to	IN
14725	422	18	it	-PRON-	PRP
14725	422	19	and	and	CC
14725	422	20	which	which	WDT
14725	422	21	float	float	VBP
14725	422	22	in	in	IN
14725	422	23	the	the	DT
14725	422	24	ethereal	ethereal	JJ
14725	422	25	matter	matter	NN
14725	422	26	as	as	IN
14725	422	27	has	have	VBZ
14725	422	28	been	be	VBN
14725	422	29	explained	explain	VBN
14725	422	30	,	,	,
14725	422	31	is	be	VBZ
14725	422	32	full	full	JJ
14725	422	33	also	also	RB
14725	422	34	of	of	IN
14725	422	35	particles	particle	NNS
14725	422	36	of	of	IN
14725	422	37	water	water	NN
14725	422	38	which	which	WDT
14725	422	39	are	be	VBP
14725	422	40	raised	raise	VBN
14725	422	41	by	by	IN
14725	422	42	the	the	DT
14725	422	43	action	action	NN
14725	422	44	of	of	IN
14725	422	45	heat	heat	NN
14725	422	46	;	;	:
14725	422	47	and	and	CC
14725	422	48	it	-PRON-	PRP
14725	422	49	has	have	VBZ
14725	422	50	been	be	VBN
14725	422	51	ascertained	ascertain	VBN
14725	422	52	further	further	RB
14725	422	53	by	by	IN
14725	422	54	some	some	DT
14725	422	55	very	very	RB
14725	422	56	definite	definite	JJ
14725	422	57	experiments	experiment	NNS
14725	422	58	that	that	IN
14725	422	59	as	as	IN
14725	422	60	one	one	CD
14725	422	61	mounts	mount	VBZ
14725	422	62	up	up	RP
14725	422	63	higher	higher	RBR
14725	422	64	the	the	DT
14725	422	65	density	density	NN
14725	422	66	of	of	IN
14725	422	67	air	air	NN
14725	422	68	diminishes	diminishe	NNS
14725	422	69	in	in	IN
14725	422	70	proportion	proportion	NN
14725	422	71	.	.	.
14725	423	1	Now	now	RB
14725	423	2	whether	whether	IN
14725	423	3	the	the	DT
14725	423	4	particles	particle	NNS
14725	423	5	of	of	IN
14725	423	6	water	water	NN
14725	423	7	and	and	CC
14725	423	8	those	those	DT
14725	423	9	of	of	IN
14725	423	10	air	air	NN
14725	423	11	take	take	VBP
14725	423	12	part	part	NN
14725	423	13	,	,	,
14725	423	14	by	by	IN
14725	423	15	means	mean	NNS
14725	423	16	of	of	IN
14725	423	17	the	the	DT
14725	423	18	particles	particle	NNS
14725	423	19	of	of	IN
14725	423	20	ethereal	ethereal	JJ
14725	423	21	matter	matter	NN
14725	423	22	,	,	,
14725	423	23	in	in	IN
14725	423	24	the	the	DT
14725	423	25	movement	movement	NN
14725	423	26	which	which	WDT
14725	423	27	constitutes	constitute	VBZ
14725	423	28	light	light	NN
14725	423	29	,	,	,
14725	423	30	but	but	CC
14725	423	31	have	have	VBP
14725	423	32	a	a	DT
14725	423	33	less	less	RBR
14725	423	34	prompt	prompt	JJ
14725	423	35	recoil	recoil	NN
14725	423	36	than	than	IN
14725	423	37	these	these	DT
14725	423	38	,	,	,
14725	423	39	or	or	CC
14725	423	40	whether	whether	IN
14725	423	41	the	the	DT
14725	423	42	encounter	encounter	NN
14725	423	43	and	and	CC
14725	423	44	hindrance	hindrance	NN
14725	423	45	which	which	WDT
14725	423	46	these	these	DT
14725	423	47	particles	particle	NNS
14725	423	48	of	of	IN
14725	423	49	air	air	NN
14725	423	50	and	and	CC
14725	423	51	water	water	NN
14725	423	52	offer	offer	VBP
14725	423	53	to	to	IN
14725	423	54	the	the	DT
14725	423	55	propagation	propagation	NN
14725	423	56	of	of	IN
14725	423	57	movement	movement	NN
14725	423	58	of	of	IN
14725	423	59	the	the	DT
14725	423	60	ethereal	ethereal	JJ
14725	423	61	progress	progress	NN
14725	423	62	,	,	,
14725	423	63	retard	retard	VB
14725	423	64	the	the	DT
14725	423	65	progression	progression	NN
14725	423	66	,	,	,
14725	423	67	it	-PRON-	PRP
14725	423	68	follows	follow	VBZ
14725	423	69	that	that	IN
14725	423	70	both	both	DT
14725	423	71	kinds	kind	NNS
14725	423	72	of	of	IN
14725	423	73	particles	particle	NNS
14725	423	74	flying	fly	VBG
14725	423	75	amidst	amidst	IN
14725	423	76	the	the	DT
14725	423	77	ethereal	ethereal	JJ
14725	423	78	particles	particle	NNS
14725	423	79	,	,	,
14725	423	80	must	must	MD
14725	423	81	render	render	VB
14725	423	82	the	the	DT
14725	423	83	air	air	NN
14725	423	84	,	,	,
14725	423	85	from	from	IN
14725	423	86	a	a	DT
14725	423	87	great	great	JJ
14725	423	88	height	height	NN
14725	423	89	down	down	RB
14725	423	90	to	to	IN
14725	423	91	the	the	DT
14725	423	92	Earth	Earth	NNP
14725	423	93	,	,	,
14725	423	94	gradually	gradually	RB
14725	423	95	less	less	RBR
14725	423	96	easy	easy	JJ
14725	423	97	for	for	IN
14725	423	98	the	the	DT
14725	423	99	spreading	spreading	NN
14725	423	100	of	of	IN
14725	423	101	the	the	DT
14725	423	102	waves	wave	NNS
14725	423	103	of	of	IN
14725	423	104	light	light	NN
14725	423	105	.	.	.
14725	424	1	[	[	-LRB-
14725	424	2	Illustration	illustration	NN
14725	424	3	]	]	-RRB-
14725	424	4	Whence	whence	NN
14725	424	5	the	the	DT
14725	424	6	configuration	configuration	NN
14725	424	7	of	of	IN
14725	424	8	the	the	DT
14725	424	9	waves	wave	NNS
14725	424	10	ought	ought	MD
14725	424	11	to	to	TO
14725	424	12	become	become	VB
14725	424	13	nearly	nearly	RB
14725	424	14	such	such	JJ
14725	424	15	as	as	IN
14725	424	16	this	this	DT
14725	424	17	figure	figure	NN
14725	424	18	represents	represent	VBZ
14725	424	19	:	:	:
14725	424	20	namely	namely	RB
14725	424	21	,	,	,
14725	424	22	if	if	IN
14725	424	23	A	a	NN
14725	424	24	is	be	VBZ
14725	424	25	a	a	DT
14725	424	26	light	light	NN
14725	424	27	,	,	,
14725	424	28	or	or	CC
14725	424	29	the	the	DT
14725	424	30	visible	visible	JJ
14725	424	31	point	point	NN
14725	424	32	of	of	IN
14725	424	33	a	a	DT
14725	424	34	steeple	steeple	NN
14725	424	35	,	,	,
14725	424	36	the	the	DT
14725	424	37	waves	wave	NNS
14725	424	38	which	which	WDT
14725	424	39	start	start	VBP
14725	424	40	from	from	IN
14725	424	41	it	-PRON-	PRP
14725	424	42	ought	ought	MD
14725	424	43	to	to	TO
14725	424	44	spread	spread	VB
14725	424	45	more	more	RBR
14725	424	46	widely	widely	RB
14725	424	47	upwards	upwards	JJ
14725	424	48	and	and	CC
14725	424	49	less	less	RBR
14725	424	50	widely	widely	RB
14725	424	51	downwards	downwards	RB
14725	424	52	,	,	,
14725	424	53	but	but	CC
14725	424	54	in	in	IN
14725	424	55	other	other	JJ
14725	424	56	directions	direction	NNS
14725	424	57	more	more	RBR
14725	424	58	or	or	CC
14725	424	59	less	less	RBR
14725	424	60	as	as	IN
14725	424	61	they	-PRON-	PRP
14725	424	62	approximate	approximate	VBP
14725	424	63	to	to	IN
14725	424	64	these	these	DT
14725	424	65	two	two	CD
14725	424	66	extremes	extreme	NNS
14725	424	67	.	.	.
14725	425	1	This	this	DT
14725	425	2	being	be	VBG
14725	425	3	so	so	RB
14725	425	4	,	,	,
14725	425	5	it	-PRON-	PRP
14725	425	6	necessarily	necessarily	RB
14725	425	7	follows	follow	VBZ
14725	425	8	that	that	IN
14725	425	9	every	every	DT
14725	425	10	line	line	NN
14725	425	11	intersecting	intersect	VBG
14725	425	12	one	one	CD
14725	425	13	of	of	IN
14725	425	14	these	these	DT
14725	425	15	waves	wave	NNS
14725	425	16	at	at	IN
14725	425	17	right	right	JJ
14725	425	18	angles	angle	NNS
14725	425	19	will	will	MD
14725	425	20	pass	pass	VB
14725	425	21	above	above	IN
14725	425	22	the	the	DT
14725	425	23	point	point	NN
14725	425	24	A	a	NN
14725	425	25	,	,	,
14725	425	26	always	always	RB
14725	425	27	excepting	except	VBG
14725	425	28	the	the	DT
14725	425	29	one	one	CD
14725	425	30	line	line	NN
14725	425	31	which	which	WDT
14725	425	32	is	be	VBZ
14725	425	33	perpendicular	perpendicular	JJ
14725	425	34	to	to	IN
14725	425	35	the	the	DT
14725	425	36	horizon	horizon	NN
14725	425	37	.	.	.
14725	426	1	[	[	-LRB-
14725	426	2	Illustration	illustration	NN
14725	426	3	]	]	-RRB-
14725	426	4	Let	let	VB
14725	426	5	BC	BC	NNP
14725	426	6	be	be	VB
14725	426	7	the	the	DT
14725	426	8	wave	wave	NN
14725	426	9	which	which	WDT
14725	426	10	brings	bring	VBZ
14725	426	11	the	the	DT
14725	426	12	light	light	NN
14725	426	13	to	to	IN
14725	426	14	the	the	DT
14725	426	15	spectator	spectator	NN
14725	426	16	who	who	WP
14725	426	17	is	be	VBZ
14725	426	18	at	at	IN
14725	426	19	B	b	NN
14725	426	20	,	,	,
14725	426	21	and	and	CC
14725	426	22	let	let	VB
14725	426	23	BD	BD	NNP
14725	426	24	be	be	VB
14725	426	25	the	the	DT
14725	426	26	straight	straight	JJ
14725	426	27	line	line	NN
14725	426	28	which	which	WDT
14725	426	29	intersects	intersect	VBZ
14725	426	30	this	this	DT
14725	426	31	wave	wave	NN
14725	426	32	at	at	IN
14725	426	33	right	right	JJ
14725	426	34	angles	angle	NNS
14725	426	35	.	.	.
14725	427	1	Now	now	RB
14725	427	2	because	because	IN
14725	427	3	the	the	DT
14725	427	4	ray	ray	NN
14725	427	5	or	or	CC
14725	427	6	straight	straight	JJ
14725	427	7	line	line	NN
14725	427	8	by	by	IN
14725	427	9	which	which	WDT
14725	427	10	we	-PRON-	PRP
14725	427	11	judge	judge	VBP
14725	427	12	the	the	DT
14725	427	13	spot	spot	NN
14725	427	14	where	where	WRB
14725	427	15	the	the	DT
14725	427	16	object	object	NN
14725	427	17	appears	appear	VBZ
14725	427	18	to	to	IN
14725	427	19	us	-PRON-	PRP
14725	427	20	is	be	VBZ
14725	427	21	nothing	nothing	NN
14725	427	22	else	else	RB
14725	427	23	than	than	IN
14725	427	24	the	the	DT
14725	427	25	perpendicular	perpendicular	NN
14725	427	26	to	to	IN
14725	427	27	the	the	DT
14725	427	28	wave	wave	NN
14725	427	29	that	that	WDT
14725	427	30	reaches	reach	VBZ
14725	427	31	our	-PRON-	PRP$
14725	427	32	eye	eye	NN
14725	427	33	,	,	,
14725	427	34	as	as	IN
14725	427	35	will	will	MD
14725	427	36	be	be	VB
14725	427	37	understood	understand	VBN
14725	427	38	by	by	IN
14725	427	39	what	what	WP
14725	427	40	was	be	VBD
14725	427	41	said	say	VBN
14725	427	42	above	above	RB
14725	427	43	,	,	,
14725	427	44	it	-PRON-	PRP
14725	427	45	is	be	VBZ
14725	427	46	manifest	manifest	JJ
14725	427	47	that	that	IN
14725	427	48	the	the	DT
14725	427	49	point	point	NN
14725	427	50	A	A	NNP
14725	427	51	will	will	MD
14725	427	52	be	be	VB
14725	427	53	perceived	perceive	VBN
14725	427	54	as	as	IN
14725	427	55	being	be	VBG
14725	427	56	in	in	IN
14725	427	57	the	the	DT
14725	427	58	line	line	NN
14725	427	59	BD	BD	NNP
14725	427	60	,	,	,
14725	427	61	and	and	CC
14725	427	62	therefore	therefore	RB
14725	427	63	higher	high	JJR
14725	427	64	than	than	IN
14725	427	65	in	in	IN
14725	427	66	fact	fact	NN
14725	427	67	it	-PRON-	PRP
14725	427	68	is	be	VBZ
14725	427	69	.	.	.
14725	428	1	Similarly	similarly	RB
14725	428	2	if	if	IN
14725	428	3	the	the	DT
14725	428	4	Earth	Earth	NNP
14725	428	5	be	be	VB
14725	428	6	AB	AB	NNP
14725	428	7	,	,	,
14725	428	8	and	and	CC
14725	428	9	the	the	DT
14725	428	10	top	top	NN
14725	428	11	of	of	IN
14725	428	12	the	the	DT
14725	428	13	Atmosphere	Atmosphere	NNP
14725	428	14	CD	CD	NNP
14725	428	15	,	,	,
14725	428	16	which	which	WDT
14725	428	17	probably	probably	RB
14725	428	18	is	be	VBZ
14725	428	19	not	not	RB
14725	428	20	a	a	DT
14725	428	21	well	well	RB
14725	428	22	defined	define	VBN
14725	428	23	spherical	spherical	JJ
14725	428	24	surface	surface	NN
14725	428	25	(	(	-LRB-
14725	428	26	since	since	IN
14725	428	27	we	-PRON-	PRP
14725	428	28	know	know	VBP
14725	428	29	that	that	IN
14725	428	30	the	the	DT
14725	428	31	air	air	NN
14725	428	32	becomes	become	VBZ
14725	428	33	rare	rare	JJ
14725	428	34	in	in	IN
14725	428	35	proportion	proportion	NN
14725	428	36	as	as	IN
14725	428	37	one	one	CD
14725	428	38	ascends	ascend	VBZ
14725	428	39	,	,	,
14725	428	40	for	for	IN
14725	428	41	above	above	RB
14725	428	42	there	there	EX
14725	428	43	is	be	VBZ
14725	428	44	so	so	RB
14725	428	45	much	much	RB
14725	428	46	less	less	JJR
14725	428	47	of	of	IN
14725	428	48	it	-PRON-	PRP
14725	428	49	to	to	TO
14725	428	50	press	press	VB
14725	428	51	down	down	RP
14725	428	52	upon	upon	IN
14725	428	53	it	-PRON-	PRP
14725	428	54	)	)	-RRB-
14725	428	55	,	,	,
14725	428	56	the	the	DT
14725	428	57	waves	wave	NNS
14725	428	58	of	of	IN
14725	428	59	light	light	NN
14725	428	60	from	from	IN
14725	428	61	the	the	DT
14725	428	62	sun	sun	NN
14725	428	63	coming	come	VBG
14725	428	64	,	,	,
14725	428	65	for	for	IN
14725	428	66	instance	instance	NN
14725	428	67	,	,	,
14725	428	68	in	in	IN
14725	428	69	such	such	PDT
14725	428	70	a	a	DT
14725	428	71	way	way	NN
14725	428	72	that	that	WDT
14725	428	73	so	so	RB
14725	428	74	long	long	RB
14725	428	75	as	as	IN
14725	428	76	they	-PRON-	PRP
14725	428	77	have	have	VBP
14725	428	78	not	not	RB
14725	428	79	reached	reach	VBN
14725	428	80	the	the	DT
14725	428	81	Atmosphere	Atmosphere	NNP
14725	428	82	CD	CD	NNP
14725	428	83	the	the	DT
14725	428	84	straight	straight	JJ
14725	428	85	line	line	NN
14725	428	86	AE	AE	NNP
14725	428	87	intersects	intersect	VBZ
14725	428	88	them	-PRON-	PRP
14725	428	89	perpendicularly	perpendicularly	RB
14725	428	90	,	,	,
14725	428	91	they	-PRON-	PRP
14725	428	92	ought	ought	MD
14725	428	93	,	,	,
14725	428	94	when	when	WRB
14725	428	95	they	-PRON-	PRP
14725	428	96	enter	enter	VBP
14725	428	97	the	the	DT
14725	428	98	Atmosphere	Atmosphere	NNP
14725	428	99	,	,	,
14725	428	100	to	to	TO
14725	428	101	advance	advance	VB
14725	428	102	more	more	RBR
14725	428	103	quickly	quickly	RB
14725	428	104	in	in	IN
14725	428	105	elevated	elevated	JJ
14725	428	106	regions	region	NNS
14725	428	107	than	than	IN
14725	428	108	in	in	IN
14725	428	109	regions	region	NNS
14725	428	110	nearer	nearer	RB
14725	428	111	to	to	IN
14725	428	112	the	the	DT
14725	428	113	Earth	Earth	NNP
14725	428	114	.	.	.
14725	429	1	So	so	RB
14725	429	2	that	that	IN
14725	429	3	if	if	IN
14725	429	4	CA	CA	NNP
14725	429	5	is	be	VBZ
14725	429	6	the	the	DT
14725	429	7	wave	wave	NN
14725	429	8	which	which	WDT
14725	429	9	brings	bring	VBZ
14725	429	10	the	the	DT
14725	429	11	light	light	NN
14725	429	12	to	to	IN
14725	429	13	the	the	DT
14725	429	14	spectator	spectator	NN
14725	429	15	at	at	IN
14725	429	16	A	a	NN
14725	429	17	,	,	,
14725	429	18	its	-PRON-	PRP$
14725	429	19	region	region	NN
14725	429	20	C	C	NNP
14725	429	21	will	will	MD
14725	429	22	be	be	VB
14725	429	23	the	the	DT
14725	429	24	furthest	furthest	RBS
14725	429	25	advanced	advanced	JJ
14725	429	26	;	;	:
14725	429	27	and	and	CC
14725	429	28	the	the	DT
14725	429	29	straight	straight	JJ
14725	429	30	line	line	NN
14725	429	31	AF	AF	NNP
14725	429	32	,	,	,
14725	429	33	which	which	WDT
14725	429	34	intersects	intersect	VBZ
14725	429	35	this	this	DT
14725	429	36	wave	wave	NN
14725	429	37	at	at	IN
14725	429	38	right	right	JJ
14725	429	39	angles	angle	NNS
14725	429	40	,	,	,
14725	429	41	and	and	CC
14725	429	42	which	which	WDT
14725	429	43	determines	determine	VBZ
14725	429	44	the	the	DT
14725	429	45	apparent	apparent	JJ
14725	429	46	place	place	NN
14725	429	47	of	of	IN
14725	429	48	the	the	DT
14725	429	49	Sun	Sun	NNP
14725	429	50	,	,	,
14725	429	51	will	will	MD
14725	429	52	pass	pass	VB
14725	429	53	above	above	IN
14725	429	54	the	the	DT
14725	429	55	real	real	JJ
14725	429	56	Sun	Sun	NNP
14725	429	57	,	,	,
14725	429	58	which	which	WDT
14725	429	59	will	will	MD
14725	429	60	be	be	VB
14725	429	61	seen	see	VBN
14725	429	62	along	along	IN
14725	429	63	the	the	DT
14725	429	64	line	line	NN
14725	429	65	AE	AE	NNP
14725	429	66	.	.	.
14725	430	1	And	and	CC
14725	430	2	so	so	RB
14725	430	3	it	-PRON-	PRP
14725	430	4	may	may	MD
14725	430	5	occur	occur	VB
14725	430	6	that	that	IN
14725	430	7	when	when	WRB
14725	430	8	it	-PRON-	PRP
14725	430	9	ought	ought	MD
14725	430	10	not	not	RB
14725	430	11	to	to	TO
14725	430	12	be	be	VB
14725	430	13	visible	visible	JJ
14725	430	14	in	in	IN
14725	430	15	the	the	DT
14725	430	16	absence	absence	NN
14725	430	17	of	of	IN
14725	430	18	vapours	vapour	NNS
14725	430	19	,	,	,
14725	430	20	because	because	IN
14725	430	21	the	the	DT
14725	430	22	line	line	NN
14725	430	23	AE	AE	NNP
14725	430	24	encounters	encounter	VBZ
14725	430	25	the	the	DT
14725	430	26	rotundity	rotundity	NN
14725	430	27	of	of	IN
14725	430	28	the	the	DT
14725	430	29	Earth	Earth	NNP
14725	430	30	,	,	,
14725	430	31	it	-PRON-	PRP
14725	430	32	will	will	MD
14725	430	33	be	be	VB
14725	430	34	perceived	perceive	VBN
14725	430	35	in	in	IN
14725	430	36	the	the	DT
14725	430	37	line	line	NN
14725	430	38	AF	AF	NNP
14725	430	39	by	by	IN
14725	430	40	refraction	refraction	NN
14725	430	41	.	.	.
14725	431	1	But	but	CC
14725	431	2	this	this	DT
14725	431	3	angle	angle	NN
14725	431	4	EAF	EAF	NNP
14725	431	5	is	be	VBZ
14725	431	6	scarcely	scarcely	RB
14725	431	7	ever	ever	RB
14725	431	8	more	more	JJR
14725	431	9	than	than	IN
14725	431	10	half	half	PDT
14725	431	11	a	a	DT
14725	431	12	degree	degree	NN
14725	431	13	because	because	IN
14725	431	14	the	the	DT
14725	431	15	attenuation	attenuation	NN
14725	431	16	of	of	IN
14725	431	17	the	the	DT
14725	431	18	vapours	vapour	NNS
14725	431	19	alters	alter	VBZ
14725	431	20	the	the	DT
14725	431	21	waves	wave	NNS
14725	431	22	of	of	IN
14725	431	23	light	light	NN
14725	431	24	but	but	CC
14725	431	25	little	little	JJ
14725	431	26	.	.	.
14725	432	1	Furthermore	furthermore	RB
14725	432	2	these	these	DT
14725	432	3	refractions	refraction	NNS
14725	432	4	are	be	VBP
14725	432	5	not	not	RB
14725	432	6	altogether	altogether	RB
14725	432	7	constant	constant	JJ
14725	432	8	in	in	IN
14725	432	9	all	all	DT
14725	432	10	weathers	weather	NNS
14725	432	11	,	,	,
14725	432	12	particularly	particularly	RB
14725	432	13	at	at	IN
14725	432	14	small	small	JJ
14725	432	15	elevations	elevation	NNS
14725	432	16	of	of	IN
14725	432	17	2	2	CD
14725	432	18	or	or	CC
14725	432	19	3	3	CD
14725	432	20	degrees	degree	NNS
14725	432	21	;	;	:
14725	432	22	which	which	WDT
14725	432	23	results	result	VBZ
14725	432	24	from	from	IN
14725	432	25	the	the	DT
14725	432	26	different	different	JJ
14725	432	27	quantity	quantity	NN
14725	432	28	of	of	IN
14725	432	29	aqueous	aqueous	JJ
14725	432	30	vapours	vapour	NNS
14725	432	31	rising	rise	VBG
14725	432	32	above	above	IN
14725	432	33	the	the	DT
14725	432	34	Earth	Earth	NNP
14725	432	35	.	.	.
14725	433	1	And	and	CC
14725	433	2	this	this	DT
14725	433	3	same	same	JJ
14725	433	4	thing	thing	NN
14725	433	5	is	be	VBZ
14725	433	6	the	the	DT
14725	433	7	cause	cause	NN
14725	433	8	why	why	WRB
14725	433	9	at	at	IN
14725	433	10	certain	certain	JJ
14725	433	11	times	time	NNS
14725	433	12	a	a	DT
14725	433	13	distant	distant	JJ
14725	433	14	object	object	NN
14725	433	15	will	will	MD
14725	433	16	be	be	VB
14725	433	17	hidden	hide	VBN
14725	433	18	behind	behind	IN
14725	433	19	another	another	DT
14725	433	20	less	less	RBR
14725	433	21	distant	distant	JJ
14725	433	22	one	one	NN
14725	433	23	,	,	,
14725	433	24	and	and	CC
14725	433	25	yet	yet	RB
14725	433	26	may	may	MD
14725	433	27	at	at	IN
14725	433	28	another	another	DT
14725	433	29	time	time	NN
14725	433	30	be	be	VB
14725	433	31	able	able	JJ
14725	433	32	to	to	TO
14725	433	33	be	be	VB
14725	433	34	seen	see	VBN
14725	433	35	,	,	,
14725	433	36	although	although	IN
14725	433	37	the	the	DT
14725	433	38	spot	spot	NN
14725	433	39	from	from	IN
14725	433	40	which	which	WDT
14725	433	41	it	-PRON-	PRP
14725	433	42	is	be	VBZ
14725	433	43	viewed	view	VBN
14725	433	44	is	be	VBZ
14725	433	45	always	always	RB
14725	433	46	the	the	DT
14725	433	47	same	same	JJ
14725	433	48	.	.	.
14725	434	1	But	but	CC
14725	434	2	the	the	DT
14725	434	3	reason	reason	NN
14725	434	4	for	for	IN
14725	434	5	this	this	DT
14725	434	6	effect	effect	NN
14725	434	7	will	will	MD
14725	434	8	be	be	VB
14725	434	9	still	still	RB
14725	434	10	more	more	RBR
14725	434	11	evident	evident	JJ
14725	434	12	from	from	IN
14725	434	13	what	what	WP
14725	434	14	we	-PRON-	PRP
14725	434	15	are	be	VBP
14725	434	16	going	go	VBG
14725	434	17	to	to	TO
14725	434	18	remark	remark	VB
14725	434	19	touching	touch	VBG
14725	434	20	the	the	DT
14725	434	21	curvature	curvature	NN
14725	434	22	of	of	IN
14725	434	23	rays	ray	NNS
14725	434	24	.	.	.
14725	435	1	It	-PRON-	PRP
14725	435	2	appears	appear	VBZ
14725	435	3	from	from	IN
14725	435	4	the	the	DT
14725	435	5	things	thing	NNS
14725	435	6	explained	explain	VBN
14725	435	7	above	above	IN
14725	435	8	that	that	IN
14725	435	9	the	the	DT
14725	435	10	progression	progression	NN
14725	435	11	or	or	CC
14725	435	12	propagation	propagation	NN
14725	435	13	of	of	IN
14725	435	14	a	a	DT
14725	435	15	small	small	JJ
14725	435	16	part	part	NN
14725	435	17	of	of	IN
14725	435	18	a	a	DT
14725	435	19	wave	wave	NN
14725	435	20	of	of	IN
14725	435	21	light	light	NN
14725	435	22	is	be	VBZ
14725	435	23	properly	properly	RB
14725	435	24	what	what	WP
14725	435	25	one	one	NN
14725	435	26	calls	call	VBZ
14725	435	27	a	a	DT
14725	435	28	ray	ray	NN
14725	435	29	.	.	.
14725	436	1	Now	now	RB
14725	436	2	these	these	DT
14725	436	3	rays	ray	NNS
14725	436	4	,	,	,
14725	436	5	instead	instead	RB
14725	436	6	of	of	IN
14725	436	7	being	be	VBG
14725	436	8	straight	straight	RB
14725	436	9	as	as	IN
14725	436	10	they	-PRON-	PRP
14725	436	11	are	be	VBP
14725	436	12	in	in	IN
14725	436	13	homogeneous	homogeneous	JJ
14725	436	14	media	medium	NNS
14725	436	15	,	,	,
14725	436	16	ought	ought	MD
14725	436	17	to	to	TO
14725	436	18	be	be	VB
14725	436	19	curved	curve	VBN
14725	436	20	in	in	IN
14725	436	21	an	an	DT
14725	436	22	atmosphere	atmosphere	NN
14725	436	23	of	of	IN
14725	436	24	unequal	unequal	JJ
14725	436	25	penetrability	penetrability	NN
14725	436	26	.	.	.
14725	437	1	For	for	IN
14725	437	2	they	-PRON-	PRP
14725	437	3	necessarily	necessarily	RB
14725	437	4	follow	follow	VBP
14725	437	5	from	from	IN
14725	437	6	the	the	DT
14725	437	7	object	object	NN
14725	437	8	to	to	IN
14725	437	9	the	the	DT
14725	437	10	eye	eye	NN
14725	437	11	the	the	DT
14725	437	12	line	line	NN
14725	437	13	which	which	WDT
14725	437	14	intersects	intersect	VBZ
14725	437	15	at	at	IN
14725	437	16	right	right	JJ
14725	437	17	angles	angle	NNS
14725	437	18	all	all	PDT
14725	437	19	the	the	DT
14725	437	20	progressions	progression	NNS
14725	437	21	of	of	IN
14725	437	22	the	the	DT
14725	437	23	waves	wave	NNS
14725	437	24	,	,	,
14725	437	25	as	as	IN
14725	437	26	in	in	IN
14725	437	27	the	the	DT
14725	437	28	first	first	JJ
14725	437	29	figure	figure	NN
14725	437	30	the	the	DT
14725	437	31	line	line	NN
14725	437	32	AEB	AEB	NNP
14725	437	33	does	do	VBZ
14725	437	34	,	,	,
14725	437	35	as	as	IN
14725	437	36	will	will	MD
14725	437	37	be	be	VB
14725	437	38	shown	show	VBN
14725	437	39	hereafter	hereafter	RB
14725	437	40	;	;	:
14725	437	41	and	and	CC
14725	437	42	it	-PRON-	PRP
14725	437	43	is	be	VBZ
14725	437	44	this	this	DT
14725	437	45	line	line	NN
14725	437	46	which	which	WDT
14725	437	47	determines	determine	VBZ
14725	437	48	what	what	WP
14725	437	49	interposed	interpose	VBD
14725	437	50	bodies	body	NNS
14725	437	51	would	would	MD
14725	437	52	or	or	CC
14725	437	53	would	would	MD
14725	437	54	not	not	RB
14725	437	55	hinder	hinder	VB
14725	437	56	us	-PRON-	PRP
14725	437	57	from	from	IN
14725	437	58	seeing	see	VBG
14725	437	59	the	the	DT
14725	437	60	object	object	NN
14725	437	61	.	.	.
14725	438	1	For	for	IN
14725	438	2	although	although	IN
14725	438	3	the	the	DT
14725	438	4	point	point	NN
14725	438	5	of	of	IN
14725	438	6	the	the	DT
14725	438	7	steeple	steeple	JJ
14725	438	8	A	a	DT
14725	438	9	appears	appear	VBZ
14725	438	10	raised	raise	VBN
14725	438	11	to	to	IN
14725	438	12	D	d	NN
14725	438	13	,	,	,
14725	438	14	it	-PRON-	PRP
14725	438	15	would	would	MD
14725	438	16	yet	yet	RB
14725	438	17	not	not	RB
14725	438	18	appear	appear	VB
14725	438	19	to	to	IN
14725	438	20	the	the	DT
14725	438	21	eye	eye	NN
14725	438	22	B	b	NN
14725	438	23	if	if	IN
14725	438	24	the	the	DT
14725	438	25	tower	tower	NN
14725	438	26	H	h	NN
14725	438	27	was	be	VBD
14725	438	28	between	between	IN
14725	438	29	the	the	DT
14725	438	30	two	two	CD
14725	438	31	,	,	,
14725	438	32	because	because	IN
14725	438	33	it	-PRON-	PRP
14725	438	34	crosses	cross	VBZ
14725	438	35	the	the	DT
14725	438	36	curve	curve	NN
14725	438	37	AEB	aeb	NN
14725	438	38	.	.	.
14725	439	1	But	but	CC
14725	439	2	the	the	DT
14725	439	3	tower	tower	NN
14725	439	4	E	e	NN
14725	439	5	,	,	,
14725	439	6	which	which	WDT
14725	439	7	is	be	VBZ
14725	439	8	beneath	beneath	IN
14725	439	9	this	this	DT
14725	439	10	curve	curve	NN
14725	439	11	,	,	,
14725	439	12	does	do	VBZ
14725	439	13	not	not	RB
14725	439	14	hinder	hinder	VB
14725	439	15	the	the	DT
14725	439	16	point	point	NN
14725	439	17	A	a	DT
14725	439	18	from	from	IN
14725	439	19	being	be	VBG
14725	439	20	seen	see	VBN
14725	439	21	.	.	.
14725	440	1	Now	now	RB
14725	440	2	according	accord	VBG
14725	440	3	as	as	IN
14725	440	4	the	the	DT
14725	440	5	air	air	NN
14725	440	6	near	near	IN
14725	440	7	the	the	DT
14725	440	8	Earth	Earth	NNP
14725	440	9	exceeds	exceed	VBZ
14725	440	10	in	in	IN
14725	440	11	density	density	NN
14725	440	12	that	that	IN
14725	440	13	which	which	WDT
14725	440	14	is	be	VBZ
14725	440	15	higher	high	JJR
14725	440	16	,	,	,
14725	440	17	the	the	DT
14725	440	18	curvature	curvature	NN
14725	440	19	of	of	IN
14725	440	20	the	the	DT
14725	440	21	ray	ray	NN
14725	440	22	AEB	AEB	NNP
14725	440	23	becomes	become	VBZ
14725	440	24	greater	great	JJR
14725	440	25	:	:	:
14725	440	26	so	so	IN
14725	440	27	that	that	IN
14725	440	28	at	at	IN
14725	440	29	certain	certain	JJ
14725	440	30	times	time	NNS
14725	440	31	it	-PRON-	PRP
14725	440	32	passes	pass	VBZ
14725	440	33	above	above	IN
14725	440	34	the	the	DT
14725	440	35	summit	summit	NN
14725	440	36	E	e	NN
14725	440	37	,	,	,
14725	440	38	which	which	WDT
14725	440	39	allows	allow	VBZ
14725	440	40	the	the	DT
14725	440	41	point	point	NN
14725	440	42	A	a	NN
14725	440	43	to	to	TO
14725	440	44	be	be	VB
14725	440	45	perceived	perceive	VBN
14725	440	46	by	by	IN
14725	440	47	the	the	DT
14725	440	48	eye	eye	NN
14725	440	49	at	at	IN
14725	440	50	B	b	NN
14725	440	51	;	;	:
14725	440	52	and	and	CC
14725	440	53	at	at	IN
14725	440	54	other	other	JJ
14725	440	55	times	time	NNS
14725	440	56	it	-PRON-	PRP
14725	440	57	is	be	VBZ
14725	440	58	intercepted	intercept	VBN
14725	440	59	by	by	IN
14725	440	60	the	the	DT
14725	440	61	same	same	JJ
14725	440	62	tower	tower	NN
14725	440	63	E	e	NN
14725	440	64	which	which	WDT
14725	440	65	hides	hide	VBZ
14725	440	66	A	a	DT
14725	440	67	from	from	IN
14725	440	68	this	this	DT
14725	440	69	same	same	JJ
14725	440	70	eye	eye	NN
14725	440	71	.	.	.
14725	441	1	[	[	-LRB-
14725	441	2	Illustration	illustration	NN
14725	441	3	]	]	-RRB-
14725	441	4	But	but	CC
14725	441	5	to	to	TO
14725	441	6	demonstrate	demonstrate	VB
14725	441	7	this	this	DT
14725	441	8	curvature	curvature	NN
14725	441	9	of	of	IN
14725	441	10	the	the	DT
14725	441	11	rays	ray	NNS
14725	441	12	conformably	conformably	RB
14725	441	13	to	to	IN
14725	441	14	all	all	DT
14725	441	15	our	-PRON-	PRP$
14725	441	16	preceding	precede	VBG
14725	441	17	Theory	theory	NN
14725	441	18	,	,	,
14725	441	19	let	let	VB
14725	441	20	us	-PRON-	PRP
14725	441	21	imagine	imagine	VB
14725	441	22	that	that	IN
14725	441	23	AB	AB	NNP
14725	441	24	is	be	VBZ
14725	441	25	a	a	DT
14725	441	26	small	small	JJ
14725	441	27	portion	portion	NN
14725	441	28	of	of	IN
14725	441	29	a	a	DT
14725	441	30	wave	wave	NN
14725	441	31	of	of	IN
14725	441	32	light	light	NN
14725	441	33	coming	come	VBG
14725	441	34	from	from	IN
14725	441	35	the	the	DT
14725	441	36	side	side	NN
14725	441	37	C	C	NNP
14725	441	38	,	,	,
14725	441	39	which	which	WDT
14725	441	40	we	-PRON-	PRP
14725	441	41	may	may	MD
14725	441	42	consider	consider	VB
14725	441	43	as	as	IN
14725	441	44	a	a	DT
14725	441	45	straight	straight	JJ
14725	441	46	line	line	NN
14725	441	47	.	.	.
14725	442	1	Let	let	VB
14725	442	2	us	-PRON-	PRP
14725	442	3	also	also	RB
14725	442	4	suppose	suppose	VB
14725	442	5	that	that	IN
14725	442	6	it	-PRON-	PRP
14725	442	7	is	be	VBZ
14725	442	8	perpendicular	perpendicular	JJ
14725	442	9	to	to	IN
14725	442	10	the	the	DT
14725	442	11	Horizon	Horizon	NNP
14725	442	12	,	,	,
14725	442	13	the	the	DT
14725	442	14	portion	portion	NN
14725	442	15	B	b	NN
14725	442	16	being	be	VBG
14725	442	17	nearer	near	JJR
14725	442	18	to	to	IN
14725	442	19	the	the	DT
14725	442	20	Earth	Earth	NNP
14725	442	21	than	than	IN
14725	442	22	the	the	DT
14725	442	23	portion	portion	NN
14725	442	24	A	a	NN
14725	442	25	;	;	:
14725	442	26	and	and	CC
14725	442	27	that	that	IN
14725	442	28	because	because	IN
14725	442	29	the	the	DT
14725	442	30	vapours	vapour	NNS
14725	442	31	are	be	VBP
14725	442	32	less	less	RBR
14725	442	33	hindering	hinder	VBG
14725	442	34	at	at	IN
14725	442	35	A	a	NN
14725	442	36	than	than	IN
14725	442	37	at	at	IN
14725	442	38	B	b	NN
14725	442	39	,	,	,
14725	442	40	the	the	DT
14725	442	41	particular	particular	JJ
14725	442	42	wave	wave	NN
14725	442	43	which	which	WDT
14725	442	44	comes	come	VBZ
14725	442	45	from	from	IN
14725	442	46	the	the	DT
14725	442	47	point	point	NN
14725	442	48	A	a	DT
14725	442	49	spreads	spread	VBZ
14725	442	50	through	through	IN
14725	442	51	a	a	DT
14725	442	52	certain	certain	JJ
14725	442	53	space	space	NN
14725	442	54	AD	ad	NN
14725	442	55	while	while	IN
14725	442	56	the	the	DT
14725	442	57	particular	particular	JJ
14725	442	58	wave	wave	NN
14725	442	59	which	which	WDT
14725	442	60	starts	start	VBZ
14725	442	61	from	from	IN
14725	442	62	the	the	DT
14725	442	63	point	point	NN
14725	442	64	B	b	NN
14725	442	65	spreads	spread	VBZ
14725	442	66	through	through	IN
14725	442	67	a	a	DT
14725	442	68	shorter	short	JJR
14725	442	69	space	space	NN
14725	442	70	BE	be	NN
14725	442	71	;	;	:
14725	442	72	AD	ad	NN
14725	442	73	and	and	CC
14725	442	74	BE	be	VB
14725	442	75	being	be	VBG
14725	442	76	parallel	parallel	NN
14725	442	77	to	to	IN
14725	442	78	the	the	DT
14725	442	79	Horizon	Horizon	NNP
14725	442	80	.	.	.
14725	443	1	Further	further	RB
14725	443	2	,	,	,
14725	443	3	supposing	suppose	VBG
14725	443	4	the	the	DT
14725	443	5	straight	straight	JJ
14725	443	6	lines	line	NNS
14725	443	7	FG	FG	NNP
14725	443	8	,	,	,
14725	443	9	HI	hi	UH
14725	443	10	,	,	,
14725	443	11	etc	etc	FW
14725	443	12	.	.	FW
14725	443	13	,	,	,
14725	443	14	to	to	TO
14725	443	15	be	be	VB
14725	443	16	drawn	draw	VBN
14725	443	17	from	from	IN
14725	443	18	an	an	DT
14725	443	19	infinitude	infinitude	NN
14725	443	20	of	of	IN
14725	443	21	points	point	NNS
14725	443	22	in	in	IN
14725	443	23	the	the	DT
14725	443	24	straight	straight	JJ
14725	443	25	line	line	NN
14725	443	26	AB	AB	NNP
14725	443	27	and	and	CC
14725	443	28	to	to	TO
14725	443	29	terminate	terminate	VB
14725	443	30	on	on	IN
14725	443	31	the	the	DT
14725	443	32	line	line	NN
14725	443	33	DE	DE	NNP
14725	443	34	(	(	-LRB-
14725	443	35	which	which	WDT
14725	443	36	is	be	VBZ
14725	443	37	straight	straight	JJ
14725	443	38	or	or	CC
14725	443	39	may	may	MD
14725	443	40	be	be	VB
14725	443	41	considered	consider	VBN
14725	443	42	as	as	IN
14725	443	43	such	such	JJ
14725	443	44	)	)	-RRB-
14725	443	45	,	,	,
14725	443	46	let	let	VB
14725	443	47	the	the	DT
14725	443	48	different	different	JJ
14725	443	49	penetrabilities	penetrability	NNS
14725	443	50	at	at	IN
14725	443	51	the	the	DT
14725	443	52	different	different	JJ
14725	443	53	heights	height	NNS
14725	443	54	in	in	IN
14725	443	55	the	the	DT
14725	443	56	air	air	NN
14725	443	57	between	between	IN
14725	443	58	A	a	NN
14725	443	59	and	and	CC
14725	443	60	B	b	NN
14725	443	61	be	be	VB
14725	443	62	represented	represent	VBN
14725	443	63	by	by	IN
14725	443	64	all	all	PDT
14725	443	65	these	these	DT
14725	443	66	lines	line	NNS
14725	443	67	;	;	:
14725	443	68	so	so	IN
14725	443	69	that	that	IN
14725	443	70	the	the	DT
14725	443	71	particular	particular	JJ
14725	443	72	wave	wave	NN
14725	443	73	,	,	,
14725	443	74	originating	originate	VBG
14725	443	75	from	from	IN
14725	443	76	the	the	DT
14725	443	77	point	point	NN
14725	443	78	F	F	NNP
14725	443	79	,	,	,
14725	443	80	will	will	MD
14725	443	81	spread	spread	VB
14725	443	82	across	across	IN
14725	443	83	the	the	DT
14725	443	84	space	space	NN
14725	443	85	FG	FG	NNP
14725	443	86	,	,	,
14725	443	87	and	and	CC
14725	443	88	that	that	IN
14725	443	89	from	from	IN
14725	443	90	the	the	DT
14725	443	91	point	point	NN
14725	443	92	H	h	NN
14725	443	93	across	across	IN
14725	443	94	the	the	DT
14725	443	95	space	space	NN
14725	443	96	HI	hi	UH
14725	443	97	,	,	,
14725	443	98	while	while	IN
14725	443	99	that	that	IN
14725	443	100	from	from	IN
14725	443	101	the	the	DT
14725	443	102	point	point	NN
14725	443	103	A	a	DT
14725	443	104	spreads	spread	NNS
14725	443	105	across	across	IN
14725	443	106	the	the	DT
14725	443	107	space	space	NN
14725	443	108	AD	ad	NN
14725	443	109	.	.	.
14725	444	1	Now	now	RB
14725	444	2	if	if	IN
14725	444	3	about	about	IN
14725	444	4	the	the	DT
14725	444	5	centres	centre	NNS
14725	444	6	A	a	NN
14725	444	7	,	,	,
14725	444	8	B	b	NN
14725	444	9	,	,	,
14725	444	10	one	one	NN
14725	444	11	describes	describe	VBZ
14725	444	12	the	the	DT
14725	444	13	circles	circle	NNS
14725	444	14	DK	DK	NNP
14725	444	15	,	,	,
14725	444	16	EL	el	NN
14725	444	17	,	,	,
14725	444	18	which	which	WDT
14725	444	19	represent	represent	VBP
14725	444	20	the	the	DT
14725	444	21	spreading	spreading	NN
14725	444	22	of	of	IN
14725	444	23	the	the	DT
14725	444	24	waves	wave	NNS
14725	444	25	which	which	WDT
14725	444	26	originate	originate	VBP
14725	444	27	from	from	IN
14725	444	28	these	these	DT
14725	444	29	two	two	CD
14725	444	30	points	point	NNS
14725	444	31	,	,	,
14725	444	32	and	and	CC
14725	444	33	if	if	IN
14725	444	34	one	one	PRP
14725	444	35	draws	draw	VBZ
14725	444	36	the	the	DT
14725	444	37	straight	straight	JJ
14725	444	38	line	line	NN
14725	444	39	KL	KL	NNP
14725	444	40	which	which	WDT
14725	444	41	touches	touch	VBZ
14725	444	42	these	these	DT
14725	444	43	two	two	CD
14725	444	44	circles	circle	NNS
14725	444	45	,	,	,
14725	444	46	it	-PRON-	PRP
14725	444	47	is	be	VBZ
14725	444	48	easy	easy	JJ
14725	444	49	to	to	TO
14725	444	50	see	see	VB
14725	444	51	that	that	IN
14725	444	52	this	this	DT
14725	444	53	same	same	JJ
14725	444	54	line	line	NN
14725	444	55	will	will	MD
14725	444	56	be	be	VB
14725	444	57	the	the	DT
14725	444	58	common	common	JJ
14725	444	59	tangent	tangent	NN
14725	444	60	to	to	IN
14725	444	61	all	all	PDT
14725	444	62	the	the	DT
14725	444	63	other	other	JJ
14725	444	64	circles	circle	NNS
14725	444	65	drawn	draw	VBN
14725	444	66	about	about	IN
14725	444	67	the	the	DT
14725	444	68	centres	centre	NNS
14725	444	69	F	F	NNP
14725	444	70	,	,	,
14725	444	71	H	H	NNP
14725	444	72	,	,	,
14725	444	73	etc	etc	FW
14725	444	74	.	.	.
14725	445	1	;	;	:
14725	445	2	and	and	CC
14725	445	3	that	that	IN
14725	445	4	all	all	PDT
14725	445	5	the	the	DT
14725	445	6	points	point	NNS
14725	445	7	of	of	IN
14725	445	8	contact	contact	NN
14725	445	9	will	will	MD
14725	445	10	fall	fall	VB
14725	445	11	within	within	IN
14725	445	12	that	that	DT
14725	445	13	part	part	NN
14725	445	14	of	of	IN
14725	445	15	this	this	DT
14725	445	16	line	line	NN
14725	445	17	which	which	WDT
14725	445	18	is	be	VBZ
14725	445	19	comprised	comprise	VBN
14725	445	20	between	between	IN
14725	445	21	the	the	DT
14725	445	22	perpendiculars	perpendicular	NNS
14725	445	23	AK	AK	NNP
14725	445	24	,	,	,
14725	445	25	BL	BL	NNP
14725	445	26	.	.	.
14725	446	1	Then	then	RB
14725	446	2	it	-PRON-	PRP
14725	446	3	will	will	MD
14725	446	4	be	be	VB
14725	446	5	the	the	DT
14725	446	6	line	line	NN
14725	446	7	KL	KL	NNP
14725	446	8	which	which	WDT
14725	446	9	will	will	MD
14725	446	10	terminate	terminate	VB
14725	446	11	the	the	DT
14725	446	12	movement	movement	NN
14725	446	13	of	of	IN
14725	446	14	the	the	DT
14725	446	15	particular	particular	JJ
14725	446	16	waves	wave	NNS
14725	446	17	originating	originate	VBG
14725	446	18	from	from	IN
14725	446	19	the	the	DT
14725	446	20	points	point	NNS
14725	446	21	of	of	IN
14725	446	22	the	the	DT
14725	446	23	wave	wave	NN
14725	446	24	AB	AB	NNP
14725	446	25	;	;	:
14725	446	26	and	and	CC
14725	446	27	this	this	DT
14725	446	28	movement	movement	NN
14725	446	29	will	will	MD
14725	446	30	be	be	VB
14725	446	31	stronger	strong	JJR
14725	446	32	between	between	IN
14725	446	33	the	the	DT
14725	446	34	points	point	NNS
14725	446	35	KL	KL	NNP
14725	446	36	,	,	,
14725	446	37	than	than	IN
14725	446	38	anywhere	anywhere	RB
14725	446	39	else	else	RB
14725	446	40	at	at	IN
14725	446	41	the	the	DT
14725	446	42	same	same	JJ
14725	446	43	instant	instant	NN
14725	446	44	,	,	,
14725	446	45	since	since	IN
14725	446	46	an	an	DT
14725	446	47	infinitude	infinitude	NN
14725	446	48	of	of	IN
14725	446	49	circumferences	circumference	NNS
14725	446	50	concur	concur	VBP
14725	446	51	to	to	TO
14725	446	52	form	form	VB
14725	446	53	this	this	DT
14725	446	54	straight	straight	JJ
14725	446	55	line	line	NN
14725	446	56	;	;	,
14725	446	57	and	and	CC
14725	446	58	consequently	consequently	RB
14725	446	59	KL	KL	NNP
14725	446	60	will	will	MD
14725	446	61	be	be	VB
14725	446	62	the	the	DT
14725	446	63	propagation	propagation	NN
14725	446	64	of	of	IN
14725	446	65	the	the	DT
14725	446	66	portion	portion	NN
14725	446	67	of	of	IN
14725	446	68	wave	wave	NN
14725	446	69	AB	AB	NNP
14725	446	70	,	,	,
14725	446	71	as	as	IN
14725	446	72	has	have	VBZ
14725	446	73	been	be	VBN
14725	446	74	said	say	VBN
14725	446	75	in	in	IN
14725	446	76	explaining	explain	VBG
14725	446	77	reflexion	reflexion	NN
14725	446	78	and	and	CC
14725	446	79	ordinary	ordinary	JJ
14725	446	80	refraction	refraction	NN
14725	446	81	.	.	.
14725	447	1	Now	now	RB
14725	447	2	it	-PRON-	PRP
14725	447	3	appears	appear	VBZ
14725	447	4	that	that	IN
14725	447	5	AK	AK	NNP
14725	447	6	and	and	CC
14725	447	7	BL	BL	NNP
14725	447	8	dip	dip	VBP
14725	447	9	down	down	RP
14725	447	10	toward	toward	IN
14725	447	11	the	the	DT
14725	447	12	side	side	NN
14725	447	13	where	where	WRB
14725	447	14	the	the	DT
14725	447	15	air	air	NN
14725	447	16	is	be	VBZ
14725	447	17	less	less	RBR
14725	447	18	easy	easy	JJ
14725	447	19	to	to	TO
14725	447	20	penetrate	penetrate	VB
14725	447	21	:	:	:
14725	447	22	for	for	IN
14725	447	23	AK	AK	NNP
14725	447	24	being	be	VBG
14725	447	25	longer	long	JJR
14725	447	26	than	than	IN
14725	447	27	BL	BL	NNP
14725	447	28	,	,	,
14725	447	29	and	and	CC
14725	447	30	parallel	parallel	NN
14725	447	31	to	to	IN
14725	447	32	it	-PRON-	PRP
14725	447	33	,	,	,
14725	447	34	it	-PRON-	PRP
14725	447	35	follows	follow	VBZ
14725	447	36	that	that	IN
14725	447	37	the	the	DT
14725	447	38	lines	line	NNS
14725	447	39	AB	AB	NNP
14725	447	40	and	and	CC
14725	447	41	KL	KL	NNP
14725	447	42	,	,	,
14725	447	43	being	be	VBG
14725	447	44	prolonged	prolong	VBN
14725	447	45	,	,	,
14725	447	46	would	would	MD
14725	447	47	meet	meet	VB
14725	447	48	at	at	IN
14725	447	49	the	the	DT
14725	447	50	side	side	NN
14725	447	51	L.	L.	NNP
14725	447	52	But	but	CC
14725	447	53	the	the	DT
14725	447	54	angle	angle	NN
14725	447	55	K	k	NN
14725	447	56	is	be	VBZ
14725	447	57	a	a	DT
14725	447	58	right	right	JJ
14725	447	59	angle	angle	NN
14725	447	60	:	:	:
14725	447	61	hence	hence	RB
14725	447	62	KAB	KAB	NNP
14725	447	63	is	be	VBZ
14725	447	64	necessarily	necessarily	RB
14725	447	65	acute	acute	JJ
14725	447	66	,	,	,
14725	447	67	and	and	CC
14725	447	68	consequently	consequently	RB
14725	447	69	less	less	JJR
14725	447	70	than	than	IN
14725	447	71	DAB	DAB	NNP
14725	447	72	.	.	.
14725	448	1	If	if	IN
14725	448	2	one	one	CD
14725	448	3	investigates	investigate	VBZ
14725	448	4	in	in	IN
14725	448	5	the	the	DT
14725	448	6	same	same	JJ
14725	448	7	way	way	NN
14725	448	8	the	the	DT
14725	448	9	progression	progression	NN
14725	448	10	of	of	IN
14725	448	11	the	the	DT
14725	448	12	portion	portion	NN
14725	448	13	of	of	IN
14725	448	14	the	the	DT
14725	448	15	wave	wave	NN
14725	448	16	KL	KL	NNP
14725	448	17	,	,	,
14725	448	18	one	one	PRP
14725	448	19	will	will	MD
14725	448	20	find	find	VB
14725	448	21	that	that	IN
14725	448	22	after	after	IN
14725	448	23	a	a	DT
14725	448	24	further	further	JJ
14725	448	25	time	time	NN
14725	448	26	it	-PRON-	PRP
14725	448	27	has	have	VBZ
14725	448	28	arrived	arrive	VBN
14725	448	29	at	at	IN
14725	448	30	MN	MN	NNP
14725	448	31	in	in	IN
14725	448	32	such	such	PDT
14725	448	33	a	a	DT
14725	448	34	manner	manner	NN
14725	448	35	that	that	WDT
14725	448	36	the	the	DT
14725	448	37	perpendiculars	perpendicular	NNS
14725	448	38	KM	KM	NNP
14725	448	39	,	,	,
14725	448	40	LN	LN	NNP
14725	448	41	,	,	,
14725	448	42	dip	dip	VB
14725	448	43	down	down	RB
14725	448	44	even	even	RB
14725	448	45	more	more	RBR
14725	448	46	than	than	IN
14725	448	47	do	do	VB
14725	448	48	AK	AK	NNP
14725	448	49	,	,	,
14725	448	50	BL	BL	NNP
14725	448	51	.	.	.
14725	449	1	And	and	CC
14725	449	2	this	this	DT
14725	449	3	suffices	suffice	VBZ
14725	449	4	to	to	TO
14725	449	5	show	show	VB
14725	449	6	that	that	IN
14725	449	7	the	the	DT
14725	449	8	ray	ray	NN
14725	449	9	will	will	MD
14725	449	10	continue	continue	VB
14725	449	11	along	along	IN
14725	449	12	the	the	DT
14725	449	13	curved	curved	JJ
14725	449	14	line	line	NN
14725	449	15	which	which	WDT
14725	449	16	intersects	intersect	VBZ
14725	449	17	all	all	PDT
14725	449	18	the	the	DT
14725	449	19	waves	wave	NNS
14725	449	20	at	at	IN
14725	449	21	right	right	JJ
14725	449	22	angles	angle	NNS
14725	449	23	,	,	,
14725	449	24	as	as	IN
14725	449	25	has	have	VBZ
14725	449	26	been	be	VBN
14725	449	27	said	say	VBN
14725	449	28	.	.	.
14725	450	1	CHAPTER	chapter	NN
14725	450	2	V	V	NNP
14725	450	3	ON	on	IN
14725	450	4	THE	the	DT
14725	450	5	STRANGE	strange	JJ
14725	450	6	REFRACTION	refraction	NN
14725	450	7	OF	of	IN
14725	450	8	ICELAND	ICELAND	NNP
14725	450	9	CRYSTAL	CRYSTAL	NNP
14725	450	10	1	1	CD
14725	450	11	.	.	.
14725	451	1	There	there	EX
14725	451	2	is	be	VBZ
14725	451	3	brought	bring	VBN
14725	451	4	from	from	IN
14725	451	5	Iceland	Iceland	NNP
14725	451	6	,	,	,
14725	451	7	which	which	WDT
14725	451	8	is	be	VBZ
14725	451	9	an	an	DT
14725	451	10	Island	Island	NNP
14725	451	11	in	in	IN
14725	451	12	the	the	DT
14725	451	13	North	North	NNP
14725	451	14	Sea	Sea	NNP
14725	451	15	,	,	,
14725	451	16	in	in	IN
14725	451	17	the	the	DT
14725	451	18	latitude	latitude	NN
14725	451	19	of	of	IN
14725	451	20	66	66	CD
14725	451	21	degrees	degree	NNS
14725	451	22	,	,	,
14725	451	23	a	a	DT
14725	451	24	kind	kind	NN
14725	451	25	of	of	IN
14725	451	26	Crystal	Crystal	NNP
14725	451	27	or	or	CC
14725	451	28	transparent	transparent	JJ
14725	451	29	stone	stone	NN
14725	451	30	,	,	,
14725	451	31	very	very	RB
14725	451	32	remarkable	remarkable	JJ
14725	451	33	for	for	IN
14725	451	34	its	-PRON-	PRP$
14725	451	35	figure	figure	NN
14725	451	36	and	and	CC
14725	451	37	other	other	JJ
14725	451	38	qualities	quality	NNS
14725	451	39	,	,	,
14725	451	40	but	but	CC
14725	451	41	above	above	IN
14725	451	42	all	all	DT
14725	451	43	for	for	IN
14725	451	44	its	-PRON-	PRP$
14725	451	45	strange	strange	JJ
14725	451	46	refractions	refraction	NNS
14725	451	47	.	.	.
14725	452	1	The	the	DT
14725	452	2	causes	cause	NNS
14725	452	3	of	of	IN
14725	452	4	this	this	DT
14725	452	5	have	have	VBP
14725	452	6	seemed	seem	VBN
14725	452	7	to	to	IN
14725	452	8	me	-PRON-	PRP
14725	452	9	to	to	TO
14725	452	10	be	be	VB
14725	452	11	worthy	worthy	JJ
14725	452	12	of	of	IN
14725	452	13	being	be	VBG
14725	452	14	carefully	carefully	RB
14725	452	15	investigated	investigate	VBN
14725	452	16	,	,	,
14725	452	17	the	the	DT
14725	452	18	more	more	RBR
14725	452	19	so	so	RB
14725	452	20	because	because	IN
14725	452	21	amongst	amongst	IN
14725	452	22	transparent	transparent	JJ
14725	452	23	bodies	body	NNS
14725	452	24	this	this	DT
14725	452	25	one	one	NN
14725	452	26	alone	alone	RB
14725	452	27	does	do	VBZ
14725	452	28	not	not	RB
14725	452	29	follow	follow	VB
14725	452	30	the	the	DT
14725	452	31	ordinary	ordinary	JJ
14725	452	32	rules	rule	NNS
14725	452	33	with	with	IN
14725	452	34	respect	respect	NN
14725	452	35	to	to	IN
14725	452	36	rays	ray	NNS
14725	452	37	of	of	IN
14725	452	38	light	light	NN
14725	452	39	.	.	.
14725	453	1	I	-PRON-	PRP
14725	453	2	have	have	VBP
14725	453	3	even	even	RB
14725	453	4	been	be	VBN
14725	453	5	under	under	IN
14725	453	6	some	some	DT
14725	453	7	necessity	necessity	NN
14725	453	8	to	to	TO
14725	453	9	make	make	VB
14725	453	10	this	this	DT
14725	453	11	research	research	NN
14725	453	12	,	,	,
14725	453	13	because	because	IN
14725	453	14	the	the	DT
14725	453	15	refractions	refraction	NNS
14725	453	16	of	of	IN
14725	453	17	this	this	DT
14725	453	18	Crystal	Crystal	NNP
14725	453	19	seemed	seem	VBD
14725	453	20	to	to	TO
14725	453	21	overturn	overturn	VB
14725	453	22	our	-PRON-	PRP$
14725	453	23	preceding	precede	VBG
14725	453	24	explanation	explanation	NN
14725	453	25	of	of	IN
14725	453	26	regular	regular	JJ
14725	453	27	refraction	refraction	NN
14725	453	28	;	;	:
14725	453	29	which	which	WDT
14725	453	30	explanation	explanation	NN
14725	453	31	,	,	,
14725	453	32	on	on	IN
14725	453	33	the	the	DT
14725	453	34	contrary	contrary	NN
14725	453	35	,	,	,
14725	453	36	they	-PRON-	PRP
14725	453	37	strongly	strongly	RB
14725	453	38	confirm	confirm	VBP
14725	453	39	,	,	,
14725	453	40	as	as	IN
14725	453	41	will	will	MD
14725	453	42	be	be	VB
14725	453	43	seen	see	VBN
14725	453	44	after	after	IN
14725	453	45	they	-PRON-	PRP
14725	453	46	have	have	VBP
14725	453	47	been	be	VBN
14725	453	48	brought	bring	VBN
14725	453	49	under	under	IN
14725	453	50	the	the	DT
14725	453	51	same	same	JJ
14725	453	52	principle	principle	NN
14725	453	53	.	.	.
14725	454	1	In	in	IN
14725	454	2	Iceland	Iceland	NNP
14725	454	3	are	be	VBP
14725	454	4	found	find	VBN
14725	454	5	great	great	JJ
14725	454	6	lumps	lump	NNS
14725	454	7	of	of	IN
14725	454	8	this	this	DT
14725	454	9	Crystal	Crystal	NNP
14725	454	10	,	,	,
14725	454	11	some	some	DT
14725	454	12	of	of	IN
14725	454	13	which	which	WDT
14725	454	14	I	-PRON-	PRP
14725	454	15	have	have	VBP
14725	454	16	seen	see	VBN
14725	454	17	of	of	IN
14725	454	18	4	4	CD
14725	454	19	or	or	CC
14725	454	20	5	5	CD
14725	454	21	pounds	pound	NNS
14725	454	22	.	.	.
14725	455	1	But	but	CC
14725	455	2	it	-PRON-	PRP
14725	455	3	occurs	occur	VBZ
14725	455	4	also	also	RB
14725	455	5	in	in	IN
14725	455	6	other	other	JJ
14725	455	7	countries	country	NNS
14725	455	8	,	,	,
14725	455	9	for	for	IN
14725	455	10	I	-PRON-	PRP
14725	455	11	have	have	VBP
14725	455	12	had	have	VBN
14725	455	13	some	some	DT
14725	455	14	of	of	IN
14725	455	15	the	the	DT
14725	455	16	same	same	JJ
14725	455	17	sort	sort	NN
14725	455	18	which	which	WDT
14725	455	19	had	have	VBD
14725	455	20	been	be	VBN
14725	455	21	found	find	VBN
14725	455	22	in	in	IN
14725	455	23	France	France	NNP
14725	455	24	near	near	IN
14725	455	25	the	the	DT
14725	455	26	town	town	NN
14725	455	27	of	of	IN
14725	455	28	Troyes	Troyes	NNP
14725	455	29	in	in	IN
14725	455	30	Champagne	Champagne	NNP
14725	455	31	,	,	,
14725	455	32	and	and	CC
14725	455	33	some	some	DT
14725	455	34	others	other	NNS
14725	455	35	which	which	WDT
14725	455	36	came	come	VBD
14725	455	37	from	from	IN
14725	455	38	the	the	DT
14725	455	39	Island	Island	NNP
14725	455	40	of	of	IN
14725	455	41	Corsica	Corsica	NNP
14725	455	42	,	,	,
14725	455	43	though	though	IN
14725	455	44	both	both	DT
14725	455	45	were	be	VBD
14725	455	46	less	less	RBR
14725	455	47	clear	clear	JJ
14725	455	48	and	and	CC
14725	455	49	only	only	RB
14725	455	50	in	in	IN
14725	455	51	little	little	JJ
14725	455	52	bits	bit	NNS
14725	455	53	,	,	,
14725	455	54	scarcely	scarcely	RB
14725	455	55	capable	capable	JJ
14725	455	56	of	of	IN
14725	455	57	letting	let	VBG
14725	455	58	any	any	DT
14725	455	59	effect	effect	NN
14725	455	60	of	of	IN
14725	455	61	refraction	refraction	NN
14725	455	62	be	be	VB
14725	455	63	observed	observe	VBN
14725	455	64	.	.	.
14725	456	1	2	2	LS
14725	456	2	.	.	.
14725	457	1	The	the	DT
14725	457	2	first	first	JJ
14725	457	3	knowledge	knowledge	NN
14725	457	4	which	which	WDT
14725	457	5	the	the	DT
14725	457	6	public	public	NN
14725	457	7	has	have	VBZ
14725	457	8	had	have	VBN
14725	457	9	about	about	IN
14725	457	10	it	-PRON-	PRP
14725	457	11	is	be	VBZ
14725	457	12	due	due	JJ
14725	457	13	to	to	IN
14725	457	14	Mr.	Mr.	NNP
14725	457	15	Erasmus	Erasmus	NNP
14725	457	16	Bartholinus	Bartholinus	NNP
14725	457	17	,	,	,
14725	457	18	who	who	WP
14725	457	19	has	have	VBZ
14725	457	20	given	give	VBN
14725	457	21	a	a	DT
14725	457	22	description	description	NN
14725	457	23	of	of	IN
14725	457	24	Iceland	Iceland	NNP
14725	457	25	Crystal	Crystal	NNP
14725	457	26	and	and	CC
14725	457	27	of	of	IN
14725	457	28	its	-PRON-	PRP$
14725	457	29	chief	chief	JJ
14725	457	30	phenomena	phenomenon	NNS
14725	457	31	.	.	.
14725	458	1	But	but	CC
14725	458	2	here	here	RB
14725	458	3	I	-PRON-	PRP
14725	458	4	shall	shall	MD
14725	458	5	not	not	RB
14725	458	6	desist	desist	VB
14725	458	7	from	from	IN
14725	458	8	giving	give	VBG
14725	458	9	my	-PRON-	PRP$
14725	458	10	own	own	JJ
14725	458	11	,	,	,
14725	458	12	both	both	DT
14725	458	13	for	for	IN
14725	458	14	the	the	DT
14725	458	15	instruction	instruction	NN
14725	458	16	of	of	IN
14725	458	17	those	those	DT
14725	458	18	who	who	WP
14725	458	19	may	may	MD
14725	458	20	not	not	RB
14725	458	21	have	have	VB
14725	458	22	seen	see	VBN
14725	458	23	his	-PRON-	PRP$
14725	458	24	book	book	NN
14725	458	25	,	,	,
14725	458	26	and	and	CC
14725	458	27	because	because	IN
14725	458	28	as	as	IN
14725	458	29	respects	respect	NNS
14725	458	30	some	some	DT
14725	458	31	of	of	IN
14725	458	32	these	these	DT
14725	458	33	phenomena	phenomenon	NNS
14725	458	34	there	there	EX
14725	458	35	is	be	VBZ
14725	458	36	a	a	DT
14725	458	37	slight	slight	JJ
14725	458	38	difference	difference	NN
14725	458	39	between	between	IN
14725	458	40	his	-PRON-	PRP$
14725	458	41	observations	observation	NNS
14725	458	42	and	and	CC
14725	458	43	those	those	DT
14725	458	44	which	which	WDT
14725	458	45	I	-PRON-	PRP
14725	458	46	have	have	VBP
14725	458	47	made	make	VBN
14725	458	48	:	:	:
14725	458	49	for	for	IN
14725	458	50	I	-PRON-	PRP
14725	458	51	have	have	VBP
14725	458	52	applied	apply	VBN
14725	458	53	myself	-PRON-	PRP
14725	458	54	with	with	IN
14725	458	55	great	great	JJ
14725	458	56	exactitude	exactitude	NN
14725	458	57	to	to	TO
14725	458	58	examine	examine	VB
14725	458	59	these	these	DT
14725	458	60	properties	property	NNS
14725	458	61	of	of	IN
14725	458	62	refraction	refraction	NN
14725	458	63	,	,	,
14725	458	64	in	in	IN
14725	458	65	order	order	NN
14725	458	66	to	to	TO
14725	458	67	be	be	VB
14725	458	68	quite	quite	RB
14725	458	69	sure	sure	JJ
14725	458	70	before	before	IN
14725	458	71	undertaking	undertake	VBG
14725	458	72	to	to	TO
14725	458	73	explain	explain	VB
14725	458	74	the	the	DT
14725	458	75	causes	cause	NNS
14725	458	76	of	of	IN
14725	458	77	them	-PRON-	PRP
14725	458	78	.	.	.
14725	459	1	3	3	LS
14725	459	2	.	.	.
14725	460	1	As	as	IN
14725	460	2	regards	regard	VBZ
14725	460	3	the	the	DT
14725	460	4	hardness	hardness	NN
14725	460	5	of	of	IN
14725	460	6	this	this	DT
14725	460	7	stone	stone	NN
14725	460	8	,	,	,
14725	460	9	and	and	CC
14725	460	10	the	the	DT
14725	460	11	property	property	NN
14725	460	12	which	which	WDT
14725	460	13	it	-PRON-	PRP
14725	460	14	has	have	VBZ
14725	460	15	of	of	IN
14725	460	16	being	be	VBG
14725	460	17	easily	easily	RB
14725	460	18	split	split	VBN
14725	460	19	,	,	,
14725	460	20	it	-PRON-	PRP
14725	460	21	must	must	MD
14725	460	22	be	be	VB
14725	460	23	considered	consider	VBN
14725	460	24	rather	rather	RB
14725	460	25	as	as	IN
14725	460	26	a	a	DT
14725	460	27	species	species	NN
14725	460	28	of	of	IN
14725	460	29	Talc	Talc	NNP
14725	460	30	than	than	IN
14725	460	31	of	of	IN
14725	460	32	Crystal	Crystal	NNP
14725	460	33	.	.	.
14725	461	1	For	for	IN
14725	461	2	an	an	DT
14725	461	3	iron	iron	NN
14725	461	4	spike	spike	NN
14725	461	5	effects	effect	VBZ
14725	461	6	an	an	DT
14725	461	7	entrance	entrance	NN
14725	461	8	into	into	IN
14725	461	9	it	-PRON-	PRP
14725	461	10	as	as	RB
14725	461	11	easily	easily	RB
14725	461	12	as	as	IN
14725	461	13	into	into	IN
14725	461	14	any	any	DT
14725	461	15	other	other	JJ
14725	461	16	Talc	Talc	NNP
14725	461	17	or	or	CC
14725	461	18	Alabaster	Alabaster	NNP
14725	461	19	,	,	,
14725	461	20	to	to	TO
14725	461	21	which	which	WDT
14725	461	22	it	-PRON-	PRP
14725	461	23	is	be	VBZ
14725	461	24	equal	equal	JJ
14725	461	25	in	in	IN
14725	461	26	gravity	gravity	NN
14725	461	27	.	.	.
14725	462	1	[	[	-LRB-
14725	462	2	Illustration	illustration	NN
14725	462	3	]	]	-RRB-
14725	462	4	4	4	CD
14725	462	5	.	.	.
14725	463	1	The	the	DT
14725	463	2	pieces	piece	NNS
14725	463	3	of	of	IN
14725	463	4	it	-PRON-	PRP
14725	463	5	which	which	WDT
14725	463	6	are	be	VBP
14725	463	7	found	find	VBN
14725	463	8	have	have	VBP
14725	463	9	the	the	DT
14725	463	10	figure	figure	NN
14725	463	11	of	of	IN
14725	463	12	an	an	DT
14725	463	13	oblique	oblique	JJ
14725	463	14	parallelepiped	parallelepiped	NN
14725	463	15	;	;	:
14725	463	16	each	each	DT
14725	463	17	of	of	IN
14725	463	18	the	the	DT
14725	463	19	six	six	CD
14725	463	20	faces	face	NNS
14725	463	21	being	be	VBG
14725	463	22	a	a	DT
14725	463	23	parallelogram	parallelogram	NN
14725	463	24	;	;	:
14725	463	25	and	and	CC
14725	463	26	it	-PRON-	PRP
14725	463	27	admits	admit	VBZ
14725	463	28	of	of	IN
14725	463	29	being	be	VBG
14725	463	30	split	split	VBN
14725	463	31	in	in	IN
14725	463	32	three	three	CD
14725	463	33	directions	direction	NNS
14725	463	34	parallel	parallel	JJ
14725	463	35	to	to	IN
14725	463	36	two	two	CD
14725	463	37	of	of	IN
14725	463	38	these	these	DT
14725	463	39	opposed	oppose	VBN
14725	463	40	faces	face	NNS
14725	463	41	.	.	.
14725	464	1	Even	even	RB
14725	464	2	in	in	IN
14725	464	3	such	such	JJ
14725	464	4	wise	wise	JJ
14725	464	5	,	,	,
14725	464	6	if	if	IN
14725	464	7	you	-PRON-	PRP
14725	464	8	will	will	MD
14725	464	9	,	,	,
14725	464	10	that	that	IN
14725	464	11	all	all	PDT
14725	464	12	the	the	DT
14725	464	13	six	six	CD
14725	464	14	faces	face	NNS
14725	464	15	are	be	VBP
14725	464	16	equal	equal	JJ
14725	464	17	and	and	CC
14725	464	18	similar	similar	JJ
14725	464	19	rhombuses	rhombus	NNS
14725	464	20	.	.	.
14725	465	1	The	the	DT
14725	465	2	figure	figure	NN
14725	465	3	here	here	RB
14725	465	4	added	add	VBD
14725	465	5	represents	represent	VBZ
14725	465	6	a	a	DT
14725	465	7	piece	piece	NN
14725	465	8	of	of	IN
14725	465	9	this	this	DT
14725	465	10	Crystal	Crystal	NNP
14725	465	11	.	.	.
14725	466	1	The	the	DT
14725	466	2	obtuse	obtuse	JJ
14725	466	3	angles	angle	NNS
14725	466	4	of	of	IN
14725	466	5	all	all	PDT
14725	466	6	the	the	DT
14725	466	7	parallelograms	parallelogram	NNS
14725	466	8	,	,	,
14725	466	9	as	as	IN
14725	466	10	C	C	NNP
14725	466	11	,	,	,
14725	466	12	D	D	NNP
14725	466	13	,	,	,
14725	466	14	here	here	RB
14725	466	15	,	,	,
14725	466	16	are	be	VBP
14725	466	17	angles	angle	NNS
14725	466	18	of	of	IN
14725	466	19	101	101	CD
14725	466	20	degrees	degree	NNS
14725	466	21	52	52	CD
14725	466	22	minutes	minute	NNS
14725	466	23	,	,	,
14725	466	24	and	and	CC
14725	466	25	consequently	consequently	RB
14725	466	26	the	the	DT
14725	466	27	acute	acute	JJ
14725	466	28	angles	angle	NNS
14725	466	29	,	,	,
14725	466	30	such	such	JJ
14725	466	31	as	as	IN
14725	466	32	A	a	NN
14725	466	33	and	and	CC
14725	466	34	B	b	NN
14725	466	35	,	,	,
14725	466	36	are	be	VBP
14725	466	37	of	of	IN
14725	466	38	78	78	CD
14725	466	39	degrees	degree	NNS
14725	466	40	8	8	CD
14725	466	41	minutes	minute	NNS
14725	466	42	.	.	.
14725	467	1	5	5	CD
14725	467	2	.	.	.
14725	468	1	Of	of	IN
14725	468	2	the	the	DT
14725	468	3	solid	solid	JJ
14725	468	4	angles	angle	NNS
14725	468	5	there	there	EX
14725	468	6	are	be	VBP
14725	468	7	two	two	CD
14725	468	8	opposite	opposite	NN
14725	468	9	to	to	IN
14725	468	10	one	one	CD
14725	468	11	another	another	DT
14725	468	12	,	,	,
14725	468	13	such	such	JJ
14725	468	14	as	as	IN
14725	468	15	C	C	NNP
14725	468	16	and	and	CC
14725	468	17	E	E	NNP
14725	468	18	,	,	,
14725	468	19	which	which	WDT
14725	468	20	are	be	VBP
14725	468	21	each	each	DT
14725	468	22	composed	compose	VBN
14725	468	23	of	of	IN
14725	468	24	three	three	CD
14725	468	25	equal	equal	JJ
14725	468	26	obtuse	obtuse	NN
14725	468	27	plane	plane	NN
14725	468	28	angles	angle	NNS
14725	468	29	.	.	.
14725	469	1	The	the	DT
14725	469	2	other	other	JJ
14725	469	3	six	six	CD
14725	469	4	are	be	VBP
14725	469	5	composed	compose	VBN
14725	469	6	of	of	IN
14725	469	7	two	two	CD
14725	469	8	acute	acute	JJ
14725	469	9	angles	angle	NNS
14725	469	10	and	and	CC
14725	469	11	one	one	CD
14725	469	12	obtuse	obtuse	NN
14725	469	13	.	.	.
14725	470	1	All	all	DT
14725	470	2	that	that	WDT
14725	470	3	I	-PRON-	PRP
14725	470	4	have	have	VBP
14725	470	5	just	just	RB
14725	470	6	said	say	VBN
14725	470	7	has	have	VBZ
14725	470	8	been	be	VBN
14725	470	9	likewise	likewise	RB
14725	470	10	remarked	remark	VBN
14725	470	11	by	by	IN
14725	470	12	Mr.	Mr.	NNP
14725	470	13	Bartholinus	Bartholinus	NNP
14725	470	14	in	in	IN
14725	470	15	the	the	DT
14725	470	16	aforesaid	aforesaid	JJ
14725	470	17	treatise	treatise	NN
14725	470	18	;	;	:
14725	470	19	if	if	IN
14725	470	20	we	-PRON-	PRP
14725	470	21	differ	differ	VBP
14725	470	22	it	-PRON-	PRP
14725	470	23	is	be	VBZ
14725	470	24	only	only	RB
14725	470	25	slightly	slightly	RB
14725	470	26	about	about	IN
14725	470	27	the	the	DT
14725	470	28	values	value	NNS
14725	470	29	of	of	IN
14725	470	30	the	the	DT
14725	470	31	angles	angle	NNS
14725	470	32	.	.	.
14725	471	1	He	-PRON-	PRP
14725	471	2	recounts	recount	VBZ
14725	471	3	moreover	moreover	RB
14725	471	4	some	some	DT
14725	471	5	other	other	JJ
14725	471	6	properties	property	NNS
14725	471	7	of	of	IN
14725	471	8	this	this	DT
14725	471	9	Crystal	Crystal	NNP
14725	471	10	;	;	:
14725	471	11	to	to	IN
14725	471	12	wit	wit	NN
14725	471	13	,	,	,
14725	471	14	that	that	IN
14725	471	15	when	when	WRB
14725	471	16	rubbed	rub	VBN
14725	471	17	against	against	IN
14725	471	18	cloth	cloth	NN
14725	471	19	it	-PRON-	PRP
14725	471	20	attracts	attract	VBZ
14725	471	21	straws	straw	NNS
14725	471	22	and	and	CC
14725	471	23	other	other	JJ
14725	471	24	light	light	JJ
14725	471	25	things	thing	NNS
14725	471	26	as	as	IN
14725	471	27	do	do	VBP
14725	471	28	amber	amber	NN
14725	471	29	,	,	,
14725	471	30	diamond	diamond	NN
14725	471	31	,	,	,
14725	471	32	glass	glass	NN
14725	471	33	,	,	,
14725	471	34	and	and	CC
14725	471	35	Spanish	spanish	JJ
14725	471	36	wax	wax	NN
14725	471	37	.	.	.
14725	472	1	Let	let	VB
14725	472	2	a	a	DT
14725	472	3	piece	piece	NN
14725	472	4	be	be	VB
14725	472	5	covered	cover	VBN
14725	472	6	with	with	IN
14725	472	7	water	water	NN
14725	472	8	for	for	IN
14725	472	9	a	a	DT
14725	472	10	day	day	NN
14725	472	11	or	or	CC
14725	472	12	more	more	JJR
14725	472	13	,	,	,
14725	472	14	the	the	DT
14725	472	15	surface	surface	NN
14725	472	16	loses	lose	VBZ
14725	472	17	its	-PRON-	PRP$
14725	472	18	natural	natural	JJ
14725	472	19	polish	polish	NN
14725	472	20	.	.	.
14725	473	1	When	when	WRB
14725	473	2	aquafortis	aquafortis	NN
14725	473	3	is	be	VBZ
14725	473	4	poured	pour	VBN
14725	473	5	on	on	IN
14725	473	6	it	-PRON-	PRP
14725	473	7	it	-PRON-	PRP
14725	473	8	produces	produce	VBZ
14725	473	9	ebullition	ebullition	NN
14725	473	10	,	,	,
14725	473	11	especially	especially	RB
14725	473	12	,	,	,
14725	473	13	as	as	IN
14725	473	14	I	-PRON-	PRP
14725	473	15	have	have	VBP
14725	473	16	found	find	VBN
14725	473	17	,	,	,
14725	473	18	if	if	IN
14725	473	19	the	the	DT
14725	473	20	Crystal	Crystal	NNP
14725	473	21	has	have	VBZ
14725	473	22	been	be	VBN
14725	473	23	pulverized	pulverize	VBN
14725	473	24	.	.	.
14725	474	1	I	-PRON-	PRP
14725	474	2	have	have	VBP
14725	474	3	also	also	RB
14725	474	4	found	find	VBN
14725	474	5	by	by	IN
14725	474	6	experiment	experiment	NN
14725	474	7	that	that	IN
14725	474	8	it	-PRON-	PRP
14725	474	9	may	may	MD
14725	474	10	be	be	VB
14725	474	11	heated	heat	VBN
14725	474	12	to	to	IN
14725	474	13	redness	redness	NN
14725	474	14	in	in	IN
14725	474	15	the	the	DT
14725	474	16	fire	fire	NN
14725	474	17	without	without	IN
14725	474	18	being	be	VBG
14725	474	19	in	in	IN
14725	474	20	anywise	anywise	NN
14725	474	21	altered	alter	VBN
14725	474	22	or	or	CC
14725	474	23	rendered	render	VBN
14725	474	24	less	less	RBR
14725	474	25	transparent	transparent	JJ
14725	474	26	;	;	:
14725	474	27	but	but	CC
14725	474	28	a	a	DT
14725	474	29	very	very	RB
14725	474	30	violent	violent	JJ
14725	474	31	fire	fire	NN
14725	474	32	calcines	calcine	VBZ
14725	474	33	it	-PRON-	PRP
14725	474	34	nevertheless	nevertheless	RB
14725	474	35	.	.	.
14725	475	1	Its	-PRON-	PRP$
14725	475	2	transparency	transparency	NN
14725	475	3	is	be	VBZ
14725	475	4	scarcely	scarcely	RB
14725	475	5	less	less	JJR
14725	475	6	than	than	IN
14725	475	7	that	that	DT
14725	475	8	of	of	IN
14725	475	9	water	water	NN
14725	475	10	or	or	CC
14725	475	11	of	of	IN
14725	475	12	Rock	Rock	NNP
14725	475	13	Crystal	Crystal	NNP
14725	475	14	,	,	,
14725	475	15	and	and	CC
14725	475	16	devoid	devoid	JJ
14725	475	17	of	of	IN
14725	475	18	colour	colour	NN
14725	475	19	.	.	.
14725	476	1	But	but	CC
14725	476	2	rays	ray	NNS
14725	476	3	of	of	IN
14725	476	4	light	light	JJ
14725	476	5	pass	pass	VBP
14725	476	6	through	through	IN
14725	476	7	it	-PRON-	PRP
14725	476	8	in	in	IN
14725	476	9	another	another	DT
14725	476	10	fashion	fashion	NN
14725	476	11	and	and	CC
14725	476	12	produce	produce	VB
14725	476	13	those	those	DT
14725	476	14	marvellous	marvellous	JJ
14725	476	15	refractions	refraction	NNS
14725	476	16	the	the	DT
14725	476	17	causes	cause	NNS
14725	476	18	of	of	IN
14725	476	19	which	which	WDT
14725	476	20	I	-PRON-	PRP
14725	476	21	am	be	VBP
14725	476	22	now	now	RB
14725	476	23	going	go	VBG
14725	476	24	to	to	TO
14725	476	25	try	try	VB
14725	476	26	to	to	TO
14725	476	27	explain	explain	VB
14725	476	28	;	;	:
14725	476	29	reserving	reserve	VBG
14725	476	30	for	for	IN
14725	476	31	the	the	DT
14725	476	32	end	end	NN
14725	476	33	of	of	IN
14725	476	34	this	this	DT
14725	476	35	Treatise	Treatise	NNP
14725	476	36	the	the	DT
14725	476	37	statement	statement	NN
14725	476	38	of	of	IN
14725	476	39	my	-PRON-	PRP$
14725	476	40	conjectures	conjecture	NNS
14725	476	41	touching	touch	VBG
14725	476	42	the	the	DT
14725	476	43	formation	formation	NN
14725	476	44	and	and	CC
14725	476	45	extraordinary	extraordinary	JJ
14725	476	46	configuration	configuration	NN
14725	476	47	of	of	IN
14725	476	48	this	this	DT
14725	476	49	Crystal	Crystal	NNP
14725	476	50	.	.	.
14725	477	1	6	6	CD
14725	477	2	.	.	.
14725	478	1	In	in	IN
14725	478	2	all	all	DT
14725	478	3	other	other	JJ
14725	478	4	transparent	transparent	JJ
14725	478	5	bodies	body	NNS
14725	478	6	that	that	WDT
14725	478	7	we	-PRON-	PRP
14725	478	8	know	know	VBP
14725	478	9	there	there	EX
14725	478	10	is	be	VBZ
14725	478	11	but	but	CC
14725	478	12	one	one	CD
14725	478	13	sole	sole	JJ
14725	478	14	and	and	CC
14725	478	15	simple	simple	JJ
14725	478	16	refraction	refraction	NN
14725	478	17	;	;	:
14725	478	18	but	but	CC
14725	478	19	in	in	IN
14725	478	20	this	this	DT
14725	478	21	substance	substance	NN
14725	478	22	there	there	EX
14725	478	23	are	be	VBP
14725	478	24	two	two	CD
14725	478	25	different	different	JJ
14725	478	26	ones	one	NNS
14725	478	27	.	.	.
14725	479	1	The	the	DT
14725	479	2	effect	effect	NN
14725	479	3	is	be	VBZ
14725	479	4	that	that	IN
14725	479	5	objects	object	NNS
14725	479	6	seen	see	VBN
14725	479	7	through	through	IN
14725	479	8	it	-PRON-	PRP
14725	479	9	,	,	,
14725	479	10	especially	especially	RB
14725	479	11	such	such	JJ
14725	479	12	as	as	IN
14725	479	13	are	be	VBP
14725	479	14	placed	place	VBN
14725	479	15	right	right	RB
14725	479	16	against	against	IN
14725	479	17	it	-PRON-	PRP
14725	479	18	,	,	,
14725	479	19	appear	appear	VB
14725	479	20	double	double	JJ
14725	479	21	;	;	:
14725	479	22	and	and	CC
14725	479	23	that	that	IN
14725	479	24	a	a	DT
14725	479	25	ray	ray	NN
14725	479	26	of	of	IN
14725	479	27	sunlight	sunlight	NN
14725	479	28	,	,	,
14725	479	29	falling	fall	VBG
14725	479	30	on	on	IN
14725	479	31	one	one	CD
14725	479	32	of	of	IN
14725	479	33	its	-PRON-	PRP$
14725	479	34	surfaces	surface	NNS
14725	479	35	,	,	,
14725	479	36	parts	part	VBZ
14725	479	37	itself	-PRON-	PRP
14725	479	38	into	into	IN
14725	479	39	two	two	CD
14725	479	40	rays	ray	NNS
14725	479	41	and	and	CC
14725	479	42	traverses	traverse	VBZ
14725	479	43	the	the	DT
14725	479	44	Crystal	Crystal	NNP
14725	479	45	thus	thus	RB
14725	479	46	.	.	.
14725	480	1	7	7	LS
14725	480	2	.	.	.
14725	481	1	It	-PRON-	PRP
14725	481	2	is	be	VBZ
14725	481	3	again	again	RB
14725	481	4	a	a	DT
14725	481	5	general	general	JJ
14725	481	6	law	law	NN
14725	481	7	in	in	IN
14725	481	8	all	all	DT
14725	481	9	other	other	JJ
14725	481	10	transparent	transparent	JJ
14725	481	11	bodies	body	NNS
14725	481	12	that	that	IN
14725	481	13	the	the	DT
14725	481	14	ray	ray	NN
14725	481	15	which	which	WDT
14725	481	16	falls	fall	VBZ
14725	481	17	perpendicularly	perpendicularly	RB
14725	481	18	on	on	IN
14725	481	19	their	-PRON-	PRP$
14725	481	20	surface	surface	NN
14725	481	21	passes	pass	VBZ
14725	481	22	straight	straight	RB
14725	481	23	on	on	RB
14725	481	24	without	without	IN
14725	481	25	suffering	suffer	VBG
14725	481	26	refraction	refraction	NN
14725	481	27	,	,	,
14725	481	28	and	and	CC
14725	481	29	that	that	IN
14725	481	30	an	an	DT
14725	481	31	oblique	oblique	JJ
14725	481	32	ray	ray	NN
14725	481	33	is	be	VBZ
14725	481	34	always	always	RB
14725	481	35	refracted	refract	VBN
14725	481	36	.	.	.
14725	482	1	But	but	CC
14725	482	2	in	in	IN
14725	482	3	this	this	DT
14725	482	4	Crystal	Crystal	NNP
14725	482	5	the	the	DT
14725	482	6	perpendicular	perpendicular	JJ
14725	482	7	ray	ray	NN
14725	482	8	suffers	suffer	VBZ
14725	482	9	refraction	refraction	NN
14725	482	10	,	,	,
14725	482	11	and	and	CC
14725	482	12	there	there	EX
14725	482	13	are	be	VBP
14725	482	14	oblique	oblique	JJ
14725	482	15	rays	ray	NNS
14725	482	16	which	which	WDT
14725	482	17	pass	pass	VBP
14725	482	18	through	through	IN
14725	482	19	it	-PRON-	PRP
14725	482	20	quite	quite	RB
14725	482	21	straight	straight	RB
14725	482	22	.	.	.
14725	483	1	[	[	-LRB-
14725	483	2	Illustration	illustration	NN
14725	483	3	]	]	-RRB-
14725	483	4	8	8	CD
14725	483	5	.	.	.
14725	484	1	But	but	CC
14725	484	2	in	in	IN
14725	484	3	order	order	NN
14725	484	4	to	to	TO
14725	484	5	explain	explain	VB
14725	484	6	these	these	DT
14725	484	7	phenomena	phenomenon	NNS
14725	484	8	more	more	RBR
14725	484	9	particularly	particularly	RB
14725	484	10	,	,	,
14725	484	11	let	let	VB
14725	484	12	there	there	EX
14725	484	13	be	be	VB
14725	484	14	,	,	,
14725	484	15	in	in	IN
14725	484	16	the	the	DT
14725	484	17	first	first	JJ
14725	484	18	place	place	NN
14725	484	19	,	,	,
14725	484	20	a	a	DT
14725	484	21	piece	piece	NN
14725	484	22	ABFE	ABFE	NNS
14725	484	23	of	of	IN
14725	484	24	the	the	DT
14725	484	25	same	same	JJ
14725	484	26	Crystal	Crystal	NNP
14725	484	27	,	,	,
14725	484	28	and	and	CC
14725	484	29	let	let	VB
14725	484	30	the	the	DT
14725	484	31	obtuse	obtuse	JJ
14725	484	32	angle	angle	NN
14725	484	33	ACB	ACB	NNP
14725	484	34	,	,	,
14725	484	35	one	one	CD
14725	484	36	of	of	IN
14725	484	37	the	the	DT
14725	484	38	three	three	CD
14725	484	39	which	which	WDT
14725	484	40	constitute	constitute	VBP
14725	484	41	the	the	DT
14725	484	42	equilateral	equilateral	JJ
14725	484	43	solid	solid	JJ
14725	484	44	angle	angle	NN
14725	484	45	C	C	NNP
14725	484	46	,	,	,
14725	484	47	be	be	VB
14725	484	48	divided	divide	VBN
14725	484	49	into	into	IN
14725	484	50	two	two	CD
14725	484	51	equal	equal	JJ
14725	484	52	parts	part	NNS
14725	484	53	by	by	IN
14725	484	54	the	the	DT
14725	484	55	straight	straight	JJ
14725	484	56	line	line	NN
14725	484	57	CG	cg	NN
14725	484	58	,	,	,
14725	484	59	and	and	CC
14725	484	60	let	let	VB
14725	484	61	it	-PRON-	PRP
14725	484	62	be	be	VB
14725	484	63	conceived	conceive	VBN
14725	484	64	that	that	IN
14725	484	65	the	the	DT
14725	484	66	Crystal	Crystal	NNP
14725	484	67	is	be	VBZ
14725	484	68	intersected	intersect	VBN
14725	484	69	by	by	IN
14725	484	70	a	a	DT
14725	484	71	plane	plane	NN
14725	484	72	which	which	WDT
14725	484	73	passes	pass	VBZ
14725	484	74	through	through	IN
14725	484	75	this	this	DT
14725	484	76	line	line	NN
14725	484	77	and	and	CC
14725	484	78	through	through	IN
14725	484	79	the	the	DT
14725	484	80	side	side	NN
14725	484	81	CF	CF	NNP
14725	484	82	,	,	,
14725	484	83	which	which	WDT
14725	484	84	plane	plane	NN
14725	484	85	will	will	MD
14725	484	86	necessarily	necessarily	RB
14725	484	87	be	be	VB
14725	484	88	perpendicular	perpendicular	JJ
14725	484	89	to	to	IN
14725	484	90	the	the	DT
14725	484	91	surface	surface	NN
14725	484	92	AB	AB	NNP
14725	484	93	;	;	:
14725	484	94	and	and	CC
14725	484	95	its	-PRON-	PRP$
14725	484	96	section	section	NN
14725	484	97	in	in	IN
14725	484	98	the	the	DT
14725	484	99	Crystal	Crystal	NNP
14725	484	100	will	will	MD
14725	484	101	form	form	VB
14725	484	102	a	a	DT
14725	484	103	parallelogram	parallelogram	NN
14725	484	104	GCFH	gcfh	NN
14725	484	105	.	.	.
14725	485	1	We	-PRON-	PRP
14725	485	2	will	will	MD
14725	485	3	call	call	VB
14725	485	4	this	this	DT
14725	485	5	section	section	NN
14725	485	6	the	the	DT
14725	485	7	principal	principal	JJ
14725	485	8	section	section	NN
14725	485	9	of	of	IN
14725	485	10	the	the	DT
14725	485	11	Crystal	Crystal	NNP
14725	485	12	.	.	.
14725	486	1	9	9	CD
14725	486	2	.	.	.
14725	487	1	Now	now	RB
14725	487	2	if	if	IN
14725	487	3	one	one	NN
14725	487	4	covers	cover	VBZ
14725	487	5	the	the	DT
14725	487	6	surface	surface	NN
14725	487	7	AB	AB	NNP
14725	487	8	,	,	,
14725	487	9	leaving	leave	VBG
14725	487	10	there	there	RB
14725	487	11	only	only	RB
14725	487	12	a	a	DT
14725	487	13	small	small	JJ
14725	487	14	aperture	aperture	NN
14725	487	15	at	at	IN
14725	487	16	the	the	DT
14725	487	17	point	point	NN
14725	487	18	K	K	NNP
14725	487	19	,	,	,
14725	487	20	situated	situate	VBN
14725	487	21	in	in	IN
14725	487	22	the	the	DT
14725	487	23	straight	straight	JJ
14725	487	24	line	line	NN
14725	487	25	CG	cg	NN
14725	487	26	,	,	,
14725	487	27	and	and	CC
14725	487	28	if	if	IN
14725	487	29	one	one	CD
14725	487	30	exposes	expose	VBZ
14725	487	31	it	-PRON-	PRP
14725	487	32	to	to	IN
14725	487	33	the	the	DT
14725	487	34	sun	sun	NN
14725	487	35	,	,	,
14725	487	36	so	so	IN
14725	487	37	that	that	IN
14725	487	38	his	-PRON-	PRP$
14725	487	39	rays	ray	NNS
14725	487	40	face	face	VBP
14725	487	41	it	-PRON-	PRP
14725	487	42	perpendicularly	perpendicularly	RB
14725	487	43	above	above	RB
14725	487	44	,	,	,
14725	487	45	then	then	RB
14725	487	46	the	the	DT
14725	487	47	ray	ray	NN
14725	487	48	IK	IK	NNP
14725	487	49	will	will	MD
14725	487	50	divide	divide	VB
14725	487	51	itself	-PRON-	PRP
14725	487	52	at	at	IN
14725	487	53	the	the	DT
14725	487	54	point	point	NN
14725	487	55	K	K	NNP
14725	487	56	into	into	IN
14725	487	57	two	two	CD
14725	487	58	,	,	,
14725	487	59	one	one	CD
14725	487	60	of	of	IN
14725	487	61	which	which	WDT
14725	487	62	will	will	MD
14725	487	63	continue	continue	VB
14725	487	64	to	to	TO
14725	487	65	go	go	VB
14725	487	66	on	on	RP
14725	487	67	straight	straight	RB
14725	487	68	by	by	IN
14725	487	69	KL	KL	NNP
14725	487	70	,	,	,
14725	487	71	and	and	CC
14725	487	72	the	the	DT
14725	487	73	other	other	JJ
14725	487	74	will	will	MD
14725	487	75	separate	separate	VB
14725	487	76	itself	-PRON-	PRP
14725	487	77	along	along	IN
14725	487	78	the	the	DT
14725	487	79	straight	straight	JJ
14725	487	80	line	line	NN
14725	487	81	KM	KM	NNP
14725	487	82	,	,	,
14725	487	83	which	which	WDT
14725	487	84	is	be	VBZ
14725	487	85	in	in	IN
14725	487	86	the	the	DT
14725	487	87	plane	plane	NN
14725	487	88	GCFH	gcfh	NN
14725	487	89	,	,	,
14725	487	90	and	and	CC
14725	487	91	which	which	WDT
14725	487	92	makes	make	VBZ
14725	487	93	with	with	IN
14725	487	94	KL	KL	NNP
14725	487	95	an	an	DT
14725	487	96	angle	angle	NN
14725	487	97	of	of	IN
14725	487	98	about	about	RB
14725	487	99	6	6	CD
14725	487	100	degrees	degree	NNS
14725	487	101	40	40	CD
14725	487	102	minutes	minute	NNS
14725	487	103	,	,	,
14725	487	104	tending	tend	VBG
14725	487	105	from	from	IN
14725	487	106	the	the	DT
14725	487	107	side	side	NN
14725	487	108	of	of	IN
14725	487	109	the	the	DT
14725	487	110	solid	solid	JJ
14725	487	111	angle	angle	NN
14725	487	112	C	C	NNP
14725	487	113	;	;	:
14725	487	114	and	and	CC
14725	487	115	on	on	IN
14725	487	116	emerging	emerge	VBG
14725	487	117	from	from	IN
14725	487	118	the	the	DT
14725	487	119	other	other	JJ
14725	487	120	side	side	NN
14725	487	121	of	of	IN
14725	487	122	the	the	DT
14725	487	123	Crystal	Crystal	NNP
14725	487	124	it	-PRON-	PRP
14725	487	125	will	will	MD
14725	487	126	turn	turn	VB
14725	487	127	again	again	RB
14725	487	128	parallel	parallel	JJ
14725	487	129	to	to	IN
14725	487	130	JK	JK	NNP
14725	487	131	,	,	,
14725	487	132	along	along	IN
14725	487	133	MZ	MZ	NNP
14725	487	134	.	.	.
14725	488	1	And	and	CC
14725	488	2	as	as	IN
14725	488	3	,	,	,
14725	488	4	in	in	IN
14725	488	5	this	this	DT
14725	488	6	extraordinary	extraordinary	JJ
14725	488	7	refraction	refraction	NN
14725	488	8	,	,	,
14725	488	9	the	the	DT
14725	488	10	point	point	NN
14725	488	11	M	M	NNP
14725	488	12	is	be	VBZ
14725	488	13	seen	see	VBN
14725	488	14	by	by	IN
14725	488	15	the	the	DT
14725	488	16	refracted	refract	VBN
14725	488	17	ray	ray	NN
14725	488	18	MKI	MKI	NNP
14725	488	19	,	,	,
14725	488	20	which	which	WDT
14725	488	21	I	-PRON-	PRP
14725	488	22	consider	consider	VBP
14725	488	23	as	as	IN
14725	488	24	going	go	VBG
14725	488	25	to	to	IN
14725	488	26	the	the	DT
14725	488	27	eye	eye	NN
14725	488	28	at	at	IN
14725	488	29	I	-PRON-	PRP
14725	488	30	,	,	,
14725	488	31	it	-PRON-	PRP
14725	488	32	necessarily	necessarily	RB
14725	488	33	follows	follow	VBZ
14725	488	34	that	that	IN
14725	488	35	the	the	DT
14725	488	36	point	point	NN
14725	488	37	L	l	NN
14725	488	38	,	,	,
14725	488	39	by	by	IN
14725	488	40	virtue	virtue	NN
14725	488	41	of	of	IN
14725	488	42	the	the	DT
14725	488	43	same	same	JJ
14725	488	44	refraction	refraction	NN
14725	488	45	,	,	,
14725	488	46	will	will	MD
14725	488	47	be	be	VB
14725	488	48	seen	see	VBN
14725	488	49	by	by	IN
14725	488	50	the	the	DT
14725	488	51	refracted	refract	VBN
14725	488	52	ray	ray	NNP
14725	488	53	LRI	LRI	NNP
14725	488	54	,	,	,
14725	488	55	so	so	IN
14725	488	56	that	that	IN
14725	488	57	LR	LR	NNP
14725	488	58	will	will	MD
14725	488	59	be	be	VB
14725	488	60	parallel	parallel	JJ
14725	488	61	to	to	IN
14725	488	62	MK	MK	NNP
14725	488	63	if	if	IN
14725	488	64	the	the	DT
14725	488	65	distance	distance	NN
14725	488	66	from	from	IN
14725	488	67	the	the	DT
14725	488	68	eye	eye	NN
14725	488	69	KI	KI	NNP
14725	488	70	is	be	VBZ
14725	488	71	supposed	suppose	VBN
14725	488	72	very	very	RB
14725	488	73	great	great	JJ
14725	488	74	.	.	.
14725	489	1	The	the	DT
14725	489	2	point	point	NN
14725	489	3	L	l	NN
14725	489	4	appears	appear	VBZ
14725	489	5	then	then	RB
14725	489	6	as	as	IN
14725	489	7	being	be	VBG
14725	489	8	in	in	IN
14725	489	9	the	the	DT
14725	489	10	straight	straight	JJ
14725	489	11	line	line	NN
14725	489	12	IRS	IRS	NNP
14725	489	13	;	;	:
14725	489	14	but	but	CC
14725	489	15	the	the	DT
14725	489	16	same	same	JJ
14725	489	17	point	point	NN
14725	489	18	appears	appear	VBZ
14725	489	19	also	also	RB
14725	489	20	,	,	,
14725	489	21	by	by	IN
14725	489	22	ordinary	ordinary	JJ
14725	489	23	refraction	refraction	NN
14725	489	24	,	,	,
14725	489	25	to	to	TO
14725	489	26	be	be	VB
14725	489	27	in	in	IN
14725	489	28	the	the	DT
14725	489	29	straight	straight	JJ
14725	489	30	line	line	NN
14725	489	31	IK	ik	NN
14725	489	32	,	,	,
14725	489	33	hence	hence	RB
14725	489	34	it	-PRON-	PRP
14725	489	35	is	be	VBZ
14725	489	36	necessarily	necessarily	RB
14725	489	37	judged	judge	VBN
14725	489	38	to	to	TO
14725	489	39	be	be	VB
14725	489	40	double	double	JJ
14725	489	41	.	.	.
14725	490	1	And	and	CC
14725	490	2	similarly	similarly	RB
14725	490	3	if	if	IN
14725	490	4	L	l	NN
14725	490	5	be	be	VBP
14725	490	6	a	a	DT
14725	490	7	small	small	JJ
14725	490	8	hole	hole	NN
14725	490	9	in	in	IN
14725	490	10	a	a	DT
14725	490	11	sheet	sheet	NN
14725	490	12	of	of	IN
14725	490	13	paper	paper	NN
14725	490	14	or	or	CC
14725	490	15	other	other	JJ
14725	490	16	substance	substance	NN
14725	490	17	which	which	WDT
14725	490	18	is	be	VBZ
14725	490	19	laid	lay	VBN
14725	490	20	against	against	IN
14725	490	21	the	the	DT
14725	490	22	Crystal	Crystal	NNP
14725	490	23	,	,	,
14725	490	24	it	-PRON-	PRP
14725	490	25	will	will	MD
14725	490	26	appear	appear	VB
14725	490	27	when	when	WRB
14725	490	28	turned	turn	VBN
14725	490	29	towards	towards	IN
14725	490	30	daylight	daylight	NN
14725	490	31	as	as	IN
14725	490	32	if	if	IN
14725	490	33	there	there	EX
14725	490	34	were	be	VBD
14725	490	35	two	two	CD
14725	490	36	holes	hole	NNS
14725	490	37	,	,	,
14725	490	38	which	which	WDT
14725	490	39	will	will	MD
14725	490	40	seem	seem	VB
14725	490	41	the	the	DT
14725	490	42	wider	wide	JJR
14725	490	43	apart	apart	RB
14725	490	44	from	from	IN
14725	490	45	one	one	CD
14725	490	46	another	another	DT
14725	490	47	the	the	DT
14725	490	48	greater	great	JJR
14725	490	49	the	the	DT
14725	490	50	thickness	thickness	NN
14725	490	51	of	of	IN
14725	490	52	the	the	DT
14725	490	53	Crystal	Crystal	NNP
14725	490	54	.	.	.
14725	491	1	10	10	CD
14725	491	2	.	.	.
14725	492	1	Again	again	RB
14725	492	2	,	,	,
14725	492	3	if	if	IN
14725	492	4	one	one	PRP
14725	492	5	turns	turn	VBZ
14725	492	6	the	the	DT
14725	492	7	Crystal	Crystal	NNP
14725	492	8	in	in	IN
14725	492	9	such	such	JJ
14725	492	10	wise	wise	JJ
14725	492	11	that	that	IN
14725	492	12	an	an	DT
14725	492	13	incident	incident	NN
14725	492	14	ray	ray	NN
14725	492	15	NO	no	UH
14725	492	16	,	,	,
14725	492	17	of	of	IN
14725	492	18	sunlight	sunlight	NN
14725	492	19	,	,	,
14725	492	20	which	which	WDT
14725	492	21	I	-PRON-	PRP
14725	492	22	suppose	suppose	VBP
14725	492	23	to	to	TO
14725	492	24	be	be	VB
14725	492	25	in	in	IN
14725	492	26	the	the	DT
14725	492	27	plane	plane	NN
14725	492	28	continued	continue	VBD
14725	492	29	from	from	IN
14725	492	30	GCFH	GCFH	NNP
14725	492	31	,	,	,
14725	492	32	makes	make	VBZ
14725	492	33	with	with	IN
14725	492	34	GC	GC	NNP
14725	492	35	an	an	DT
14725	492	36	angle	angle	NN
14725	492	37	of	of	IN
14725	492	38	73	73	CD
14725	492	39	degrees	degree	NNS
14725	492	40	and	and	CC
14725	492	41	20	20	CD
14725	492	42	minutes	minute	NNS
14725	492	43	,	,	,
14725	492	44	and	and	CC
14725	492	45	is	be	VBZ
14725	492	46	consequently	consequently	RB
14725	492	47	nearly	nearly	RB
14725	492	48	parallel	parallel	JJ
14725	492	49	to	to	IN
14725	492	50	the	the	DT
14725	492	51	edge	edge	NN
14725	492	52	CF	CF	NNP
14725	492	53	,	,	,
14725	492	54	which	which	WDT
14725	492	55	makes	make	VBZ
14725	492	56	with	with	IN
14725	492	57	FH	FH	NNP
14725	492	58	an	an	DT
14725	492	59	angle	angle	NN
14725	492	60	of	of	IN
14725	492	61	70	70	CD
14725	492	62	degrees	degree	NNS
14725	492	63	57	57	CD
14725	492	64	minutes	minute	NNS
14725	492	65	,	,	,
14725	492	66	according	accord	VBG
14725	492	67	to	to	IN
14725	492	68	the	the	DT
14725	492	69	calculation	calculation	NN
14725	492	70	which	which	WDT
14725	492	71	I	-PRON-	PRP
14725	492	72	shall	shall	MD
14725	492	73	put	put	VB
14725	492	74	at	at	IN
14725	492	75	the	the	DT
14725	492	76	end	end	NN
14725	492	77	,	,	,
14725	492	78	it	-PRON-	PRP
14725	492	79	will	will	MD
14725	492	80	divide	divide	VB
14725	492	81	itself	-PRON-	PRP
14725	492	82	at	at	IN
14725	492	83	the	the	DT
14725	492	84	point	point	NN
14725	492	85	O	o	UH
14725	492	86	into	into	IN
14725	492	87	two	two	CD
14725	492	88	rays	ray	NNS
14725	492	89	,	,	,
14725	492	90	one	one	CD
14725	492	91	of	of	IN
14725	492	92	which	which	WDT
14725	492	93	will	will	MD
14725	492	94	continue	continue	VB
14725	492	95	along	along	IN
14725	492	96	OP	op	NN
14725	492	97	in	in	IN
14725	492	98	a	a	DT
14725	492	99	straight	straight	JJ
14725	492	100	line	line	NN
14725	492	101	with	with	IN
14725	492	102	NO	no	NN
14725	492	103	,	,	,
14725	492	104	and	and	CC
14725	492	105	will	will	MD
14725	492	106	similarly	similarly	RB
14725	492	107	pass	pass	VB
14725	492	108	out	out	IN
14725	492	109	of	of	IN
14725	492	110	the	the	DT
14725	492	111	other	other	JJ
14725	492	112	side	side	NN
14725	492	113	of	of	IN
14725	492	114	the	the	DT
14725	492	115	crystal	crystal	NN
14725	492	116	without	without	IN
14725	492	117	any	any	DT
14725	492	118	refraction	refraction	NN
14725	492	119	;	;	:
14725	492	120	but	but	CC
14725	492	121	the	the	DT
14725	492	122	other	other	JJ
14725	492	123	will	will	MD
14725	492	124	be	be	VB
14725	492	125	refracted	refract	VBN
14725	492	126	and	and	CC
14725	492	127	will	will	MD
14725	492	128	go	go	VB
14725	492	129	along	along	IN
14725	492	130	OQ	OQ	NNP
14725	492	131	.	.	.
14725	493	1	And	and	CC
14725	493	2	it	-PRON-	PRP
14725	493	3	must	must	MD
14725	493	4	be	be	VB
14725	493	5	noted	note	VBN
14725	493	6	that	that	IN
14725	493	7	it	-PRON-	PRP
14725	493	8	is	be	VBZ
14725	493	9	special	special	JJ
14725	493	10	to	to	IN
14725	493	11	the	the	DT
14725	493	12	plane	plane	NN
14725	493	13	through	through	IN
14725	493	14	GCF	GCF	NNP
14725	493	15	and	and	CC
14725	493	16	to	to	IN
14725	493	17	those	those	DT
14725	493	18	which	which	WDT
14725	493	19	are	be	VBP
14725	493	20	parallel	parallel	JJ
14725	493	21	to	to	IN
14725	493	22	it	-PRON-	PRP
14725	493	23	,	,	,
14725	493	24	that	that	IN
14725	493	25	all	all	DT
14725	493	26	incident	incident	NN
14725	493	27	rays	ray	NNS
14725	493	28	which	which	WDT
14725	493	29	are	be	VBP
14725	493	30	in	in	IN
14725	493	31	one	one	CD
14725	493	32	of	of	IN
14725	493	33	these	these	DT
14725	493	34	planes	plane	NNS
14725	493	35	continue	continue	VBP
14725	493	36	to	to	TO
14725	493	37	be	be	VB
14725	493	38	in	in	IN
14725	493	39	it	-PRON-	PRP
14725	493	40	after	after	IN
14725	493	41	they	-PRON-	PRP
14725	493	42	have	have	VBP
14725	493	43	entered	enter	VBN
14725	493	44	the	the	DT
14725	493	45	Crystal	Crystal	NNP
14725	493	46	and	and	CC
14725	493	47	have	have	VBP
14725	493	48	become	become	VBN
14725	493	49	double	double	JJ
14725	493	50	;	;	:
14725	493	51	for	for	IN
14725	493	52	it	-PRON-	PRP
14725	493	53	is	be	VBZ
14725	493	54	quite	quite	RB
14725	493	55	otherwise	otherwise	RB
14725	493	56	for	for	IN
14725	493	57	rays	ray	NNS
14725	493	58	in	in	IN
14725	493	59	all	all	DT
14725	493	60	other	other	JJ
14725	493	61	planes	plane	NNS
14725	493	62	which	which	WDT
14725	493	63	intersect	intersect	VBP
14725	493	64	the	the	DT
14725	493	65	Crystal	Crystal	NNP
14725	493	66	,	,	,
14725	493	67	as	as	IN
14725	493	68	we	-PRON-	PRP
14725	493	69	shall	shall	MD
14725	493	70	see	see	VB
14725	493	71	afterwards	afterwards	RB
14725	493	72	.	.	.
14725	494	1	11	11	CD
14725	494	2	.	.	.
14725	495	1	I	-PRON-	PRP
14725	495	2	recognized	recognize	VBD
14725	495	3	at	at	IN
14725	495	4	first	first	RB
14725	495	5	by	by	IN
14725	495	6	these	these	DT
14725	495	7	experiments	experiment	NNS
14725	495	8	and	and	CC
14725	495	9	by	by	IN
14725	495	10	some	some	DT
14725	495	11	others	other	NNS
14725	495	12	that	that	DT
14725	495	13	of	of	IN
14725	495	14	the	the	DT
14725	495	15	two	two	CD
14725	495	16	refractions	refraction	NNS
14725	495	17	which	which	WDT
14725	495	18	the	the	DT
14725	495	19	ray	ray	NN
14725	495	20	suffers	suffer	VBZ
14725	495	21	in	in	IN
14725	495	22	this	this	DT
14725	495	23	Crystal	Crystal	NNP
14725	495	24	,	,	,
14725	495	25	there	there	EX
14725	495	26	is	be	VBZ
14725	495	27	one	one	CD
14725	495	28	which	which	WDT
14725	495	29	follows	follow	VBZ
14725	495	30	the	the	DT
14725	495	31	ordinary	ordinary	JJ
14725	495	32	rules	rule	NNS
14725	495	33	;	;	:
14725	495	34	and	and	CC
14725	495	35	it	-PRON-	PRP
14725	495	36	is	be	VBZ
14725	495	37	this	this	DT
14725	495	38	to	to	TO
14725	495	39	which	which	WDT
14725	495	40	the	the	DT
14725	495	41	rays	ray	NNS
14725	495	42	KL	KL	NNP
14725	495	43	and	and	CC
14725	495	44	OQ	OQ	NNP
14725	495	45	belong	belong	VBP
14725	495	46	.	.	.
14725	496	1	This	this	DT
14725	496	2	is	be	VBZ
14725	496	3	why	why	WRB
14725	496	4	I	-PRON-	PRP
14725	496	5	have	have	VBP
14725	496	6	distinguished	distinguish	VBN
14725	496	7	this	this	DT
14725	496	8	ordinary	ordinary	JJ
14725	496	9	refraction	refraction	NN
14725	496	10	from	from	IN
14725	496	11	the	the	DT
14725	496	12	other	other	JJ
14725	496	13	;	;	:
14725	496	14	and	and	CC
14725	496	15	having	have	VBG
14725	496	16	measured	measure	VBN
14725	496	17	it	-PRON-	PRP
14725	496	18	by	by	IN
14725	496	19	exact	exact	JJ
14725	496	20	observation	observation	NN
14725	496	21	,	,	,
14725	496	22	I	-PRON-	PRP
14725	496	23	found	find	VBD
14725	496	24	that	that	IN
14725	496	25	its	-PRON-	PRP$
14725	496	26	proportion	proportion	NN
14725	496	27	,	,	,
14725	496	28	considered	consider	VBN
14725	496	29	as	as	IN
14725	496	30	to	to	IN
14725	496	31	the	the	DT
14725	496	32	Sines	Sines	NNPS
14725	496	33	of	of	IN
14725	496	34	the	the	DT
14725	496	35	angles	angle	NNS
14725	496	36	which	which	WDT
14725	496	37	the	the	DT
14725	496	38	incident	incident	NN
14725	496	39	and	and	CC
14725	496	40	refracted	refract	VBN
14725	496	41	rays	ray	NNS
14725	496	42	make	make	VBP
14725	496	43	with	with	IN
14725	496	44	the	the	DT
14725	496	45	perpendicular	perpendicular	NN
14725	496	46	,	,	,
14725	496	47	was	be	VBD
14725	496	48	very	very	RB
14725	496	49	precisely	precisely	RB
14725	496	50	that	that	IN
14725	496	51	of	of	IN
14725	496	52	5	5	CD
14725	496	53	to	to	IN
14725	496	54	3	3	CD
14725	496	55	,	,	,
14725	496	56	as	as	IN
14725	496	57	was	be	VBD
14725	496	58	found	find	VBN
14725	496	59	also	also	RB
14725	496	60	by	by	IN
14725	496	61	Mr.	Mr.	NNP
14725	496	62	Bartholinus	Bartholinus	NNP
14725	496	63	,	,	,
14725	496	64	and	and	CC
14725	496	65	consequently	consequently	RB
14725	496	66	much	much	RB
14725	496	67	greater	great	JJR
14725	496	68	than	than	IN
14725	496	69	that	that	DT
14725	496	70	of	of	IN
14725	496	71	Rock	Rock	NNP
14725	496	72	Crystal	Crystal	NNP
14725	496	73	,	,	,
14725	496	74	or	or	CC
14725	496	75	of	of	IN
14725	496	76	glass	glass	NN
14725	496	77	,	,	,
14725	496	78	which	which	WDT
14725	496	79	is	be	VBZ
14725	496	80	nearly	nearly	RB
14725	496	81	3	3	CD
14725	496	82	to	to	IN
14725	496	83	2	2	CD
14725	496	84	.	.	.
14725	497	1	[	[	-LRB-
14725	497	2	Illustration	illustration	NN
14725	497	3	]	]	-RRB-
14725	497	4	12	12	CD
14725	497	5	.	.	.
14725	498	1	The	the	DT
14725	498	2	mode	mode	NN
14725	498	3	of	of	IN
14725	498	4	making	make	VBG
14725	498	5	these	these	DT
14725	498	6	observations	observation	NNS
14725	498	7	exactly	exactly	RB
14725	498	8	is	be	VBZ
14725	498	9	as	as	IN
14725	498	10	follows	follow	VBZ
14725	498	11	.	.	.
14725	499	1	Upon	upon	IN
14725	499	2	a	a	DT
14725	499	3	leaf	leaf	NN
14725	499	4	of	of	IN
14725	499	5	paper	paper	NN
14725	499	6	fixed	fix	VBN
14725	499	7	on	on	IN
14725	499	8	a	a	DT
14725	499	9	thoroughly	thoroughly	RB
14725	499	10	flat	flat	JJ
14725	499	11	table	table	NN
14725	499	12	there	there	EX
14725	499	13	is	be	VBZ
14725	499	14	traced	trace	VBN
14725	499	15	a	a	DT
14725	499	16	black	black	JJ
14725	499	17	line	line	NN
14725	499	18	AB	AB	NNP
14725	499	19	,	,	,
14725	499	20	and	and	CC
14725	499	21	two	two	CD
14725	499	22	others	other	NNS
14725	499	23	,	,	,
14725	499	24	CED	CED	NNP
14725	499	25	and	and	CC
14725	499	26	KML	KML	NNP
14725	499	27	,	,	,
14725	499	28	which	which	WDT
14725	499	29	cut	cut	VBD
14725	499	30	it	-PRON-	PRP
14725	499	31	at	at	IN
14725	499	32	right	right	JJ
14725	499	33	angles	angle	NNS
14725	499	34	and	and	CC
14725	499	35	are	be	VBP
14725	499	36	more	more	RBR
14725	499	37	or	or	CC
14725	499	38	less	less	RBR
14725	499	39	distant	distant	JJ
14725	499	40	from	from	IN
14725	499	41	one	one	CD
14725	499	42	another	another	DT
14725	499	43	according	accord	VBG
14725	499	44	as	as	IN
14725	499	45	it	-PRON-	PRP
14725	499	46	is	be	VBZ
14725	499	47	desired	desire	VBN
14725	499	48	to	to	TO
14725	499	49	examine	examine	VB
14725	499	50	a	a	DT
14725	499	51	ray	ray	NN
14725	499	52	that	that	WDT
14725	499	53	is	be	VBZ
14725	499	54	more	more	RBR
14725	499	55	or	or	CC
14725	499	56	less	less	RBR
14725	499	57	oblique	oblique	JJ
14725	499	58	.	.	.
14725	500	1	Then	then	RB
14725	500	2	place	place	VB
14725	500	3	the	the	DT
14725	500	4	Crystal	crystal	NN
14725	500	5	upon	upon	IN
14725	500	6	the	the	DT
14725	500	7	intersection	intersection	NN
14725	500	8	E	e	NN
14725	500	9	so	so	IN
14725	500	10	that	that	IN
14725	500	11	the	the	DT
14725	500	12	line	line	NN
14725	500	13	AB	AB	NNP
14725	500	14	concurs	concur	VBZ
14725	500	15	with	with	IN
14725	500	16	that	that	DT
14725	500	17	which	which	WDT
14725	500	18	bisects	bisect	VBZ
14725	500	19	the	the	DT
14725	500	20	obtuse	obtuse	JJ
14725	500	21	angle	angle	NN
14725	500	22	of	of	IN
14725	500	23	the	the	DT
14725	500	24	lower	low	JJR
14725	500	25	surface	surface	NN
14725	500	26	,	,	,
14725	500	27	or	or	CC
14725	500	28	with	with	IN
14725	500	29	some	some	DT
14725	500	30	line	line	NN
14725	500	31	parallel	parallel	JJ
14725	500	32	to	to	IN
14725	500	33	it	-PRON-	PRP
14725	500	34	.	.	.
14725	501	1	Then	then	RB
14725	501	2	by	by	IN
14725	501	3	placing	place	VBG
14725	501	4	the	the	DT
14725	501	5	eye	eye	NN
14725	501	6	directly	directly	RB
14725	501	7	above	above	IN
14725	501	8	the	the	DT
14725	501	9	line	line	NN
14725	501	10	AB	AB	NNP
14725	501	11	it	-PRON-	PRP
14725	501	12	will	will	MD
14725	501	13	appear	appear	VB
14725	501	14	single	single	JJ
14725	501	15	only	only	RB
14725	501	16	;	;	:
14725	501	17	and	and	CC
14725	501	18	one	one	PRP
14725	501	19	will	will	MD
14725	501	20	see	see	VB
14725	501	21	that	that	IN
14725	501	22	the	the	DT
14725	501	23	portion	portion	NN
14725	501	24	viewed	view	VBN
14725	501	25	through	through	IN
14725	501	26	the	the	DT
14725	501	27	Crystal	Crystal	NNP
14725	501	28	and	and	CC
14725	501	29	the	the	DT
14725	501	30	portions	portion	NNS
14725	501	31	which	which	WDT
14725	501	32	appear	appear	VBP
14725	501	33	outside	outside	IN
14725	501	34	it	-PRON-	PRP
14725	501	35	,	,	,
14725	501	36	meet	meet	VBP
14725	501	37	together	together	RB
14725	501	38	in	in	IN
14725	501	39	a	a	DT
14725	501	40	straight	straight	JJ
14725	501	41	line	line	NN
14725	501	42	:	:	:
14725	501	43	but	but	CC
14725	501	44	the	the	DT
14725	501	45	line	line	NN
14725	501	46	CD	cd	NN
14725	501	47	will	will	MD
14725	501	48	appear	appear	VB
14725	501	49	double	double	JJ
14725	501	50	,	,	,
14725	501	51	and	and	CC
14725	501	52	one	one	PRP
14725	501	53	can	can	MD
14725	501	54	distinguish	distinguish	VB
14725	501	55	the	the	DT
14725	501	56	image	image	NN
14725	501	57	which	which	WDT
14725	501	58	is	be	VBZ
14725	501	59	due	due	JJ
14725	501	60	to	to	IN
14725	501	61	regular	regular	JJ
14725	501	62	refraction	refraction	NN
14725	501	63	by	by	IN
14725	501	64	the	the	DT
14725	501	65	circumstance	circumstance	NN
14725	501	66	that	that	IN
14725	501	67	when	when	WRB
14725	501	68	one	one	PRP
14725	501	69	views	view	VBZ
14725	501	70	it	-PRON-	PRP
14725	501	71	with	with	IN
14725	501	72	both	both	DT
14725	501	73	eyes	eye	NNS
14725	501	74	it	-PRON-	PRP
14725	501	75	seems	seem	VBZ
14725	501	76	raised	raise	VBN
14725	501	77	up	up	RP
14725	501	78	more	more	RBR
14725	501	79	than	than	IN
14725	501	80	the	the	DT
14725	501	81	other	other	JJ
14725	501	82	,	,	,
14725	501	83	or	or	CC
14725	501	84	again	again	RB
14725	501	85	by	by	IN
14725	501	86	the	the	DT
14725	501	87	circumstance	circumstance	NN
14725	501	88	that	that	WDT
14725	501	89	,	,	,
14725	501	90	when	when	WRB
14725	501	91	the	the	DT
14725	501	92	Crystal	Crystal	NNP
14725	501	93	is	be	VBZ
14725	501	94	turned	turn	VBN
14725	501	95	around	around	RP
14725	501	96	on	on	IN
14725	501	97	the	the	DT
14725	501	98	paper	paper	NN
14725	501	99	,	,	,
14725	501	100	this	this	DT
14725	501	101	image	image	NN
14725	501	102	remains	remain	VBZ
14725	501	103	stationary	stationary	JJ
14725	501	104	,	,	,
14725	501	105	whereas	whereas	IN
14725	501	106	the	the	DT
14725	501	107	other	other	JJ
14725	501	108	image	image	NN
14725	501	109	shifts	shift	NNS
14725	501	110	and	and	CC
14725	501	111	moves	move	NNS
14725	501	112	entirely	entirely	RB
14725	501	113	around	around	RB
14725	501	114	.	.	.
14725	502	1	Afterwards	afterwards	RB
14725	502	2	let	let	VB
14725	502	3	the	the	DT
14725	502	4	eye	eye	NN
14725	502	5	be	be	VB
14725	502	6	placed	place	VBN
14725	502	7	at	at	IN
14725	502	8	I	-PRON-	PRP
14725	502	9	(	(	-LRB-
14725	502	10	remaining	remain	VBG
14725	502	11	always	always	RB
14725	502	12	in	in	IN
14725	502	13	the	the	DT
14725	502	14	plane	plane	NN
14725	502	15	perpendicular	perpendicular	JJ
14725	502	16	through	through	IN
14725	502	17	AB	AB	NNP
14725	502	18	)	)	-RRB-
14725	502	19	so	so	IN
14725	502	20	that	that	IN
14725	502	21	it	-PRON-	PRP
14725	502	22	views	view	VBZ
14725	502	23	the	the	DT
14725	502	24	image	image	NN
14725	502	25	which	which	WDT
14725	502	26	is	be	VBZ
14725	502	27	formed	form	VBN
14725	502	28	by	by	IN
14725	502	29	regular	regular	JJ
14725	502	30	refraction	refraction	NN
14725	502	31	of	of	IN
14725	502	32	the	the	DT
14725	502	33	line	line	NN
14725	502	34	CD	cd	NN
14725	502	35	making	make	VBG
14725	502	36	a	a	DT
14725	502	37	straight	straight	JJ
14725	502	38	line	line	NN
14725	502	39	with	with	IN
14725	502	40	the	the	DT
14725	502	41	remainder	remainder	NN
14725	502	42	of	of	IN
14725	502	43	that	that	DT
14725	502	44	line	line	NN
14725	502	45	which	which	WDT
14725	502	46	is	be	VBZ
14725	502	47	outside	outside	IN
14725	502	48	the	the	DT
14725	502	49	Crystal	Crystal	NNP
14725	502	50	.	.	.
14725	503	1	And	and	CC
14725	503	2	then	then	RB
14725	503	3	,	,	,
14725	503	4	marking	mark	VBG
14725	503	5	on	on	IN
14725	503	6	the	the	DT
14725	503	7	surface	surface	NN
14725	503	8	of	of	IN
14725	503	9	the	the	DT
14725	503	10	Crystal	Crystal	NNP
14725	503	11	the	the	DT
14725	503	12	point	point	NN
14725	503	13	H	h	NN
14725	503	14	where	where	WRB
14725	503	15	the	the	DT
14725	503	16	intersection	intersection	NN
14725	503	17	E	e	NN
14725	503	18	appears	appear	VBZ
14725	503	19	,	,	,
14725	503	20	this	this	DT
14725	503	21	point	point	NN
14725	503	22	will	will	MD
14725	503	23	be	be	VB
14725	503	24	directly	directly	RB
14725	503	25	above	above	IN
14725	503	26	E.	E.	NNP
14725	503	27	Then	then	RB
14725	503	28	draw	draw	VB
14725	503	29	back	back	RP
14725	503	30	the	the	DT
14725	503	31	eye	eye	NN
14725	503	32	towards	towards	IN
14725	503	33	O	o	NN
14725	503	34	,	,	,
14725	503	35	keeping	keep	VBG
14725	503	36	always	always	RB
14725	503	37	in	in	IN
14725	503	38	the	the	DT
14725	503	39	plane	plane	NN
14725	503	40	perpendicular	perpendicular	JJ
14725	503	41	through	through	IN
14725	503	42	AB	AB	NNP
14725	503	43	,	,	,
14725	503	44	so	so	IN
14725	503	45	that	that	IN
14725	503	46	the	the	DT
14725	503	47	image	image	NN
14725	503	48	of	of	IN
14725	503	49	the	the	DT
14725	503	50	line	line	NN
14725	503	51	CD	cd	NN
14725	503	52	,	,	,
14725	503	53	which	which	WDT
14725	503	54	is	be	VBZ
14725	503	55	formed	form	VBN
14725	503	56	by	by	IN
14725	503	57	ordinary	ordinary	JJ
14725	503	58	refraction	refraction	NN
14725	503	59	,	,	,
14725	503	60	may	may	MD
14725	503	61	appear	appear	VB
14725	503	62	in	in	IN
14725	503	63	a	a	DT
14725	503	64	straight	straight	JJ
14725	503	65	line	line	NN
14725	503	66	with	with	IN
14725	503	67	the	the	DT
14725	503	68	line	line	NN
14725	503	69	KL	KL	NNP
14725	503	70	viewed	view	VBD
14725	503	71	without	without	IN
14725	503	72	refraction	refraction	NN
14725	503	73	;	;	:
14725	503	74	and	and	CC
14725	503	75	then	then	RB
14725	503	76	mark	mark	VB
14725	503	77	on	on	IN
14725	503	78	the	the	DT
14725	503	79	Crystal	Crystal	NNP
14725	503	80	the	the	DT
14725	503	81	point	point	NN
14725	503	82	N	n	CD
14725	503	83	where	where	WRB
14725	503	84	the	the	DT
14725	503	85	point	point	NN
14725	503	86	of	of	IN
14725	503	87	intersection	intersection	NN
14725	503	88	E	e	NN
14725	503	89	appears	appear	VBZ
14725	503	90	.	.	.
14725	504	1	13	13	CD
14725	504	2	.	.	.
14725	505	1	Then	then	RB
14725	505	2	one	one	PRP
14725	505	3	will	will	MD
14725	505	4	know	know	VB
14725	505	5	the	the	DT
14725	505	6	length	length	NN
14725	505	7	and	and	CC
14725	505	8	position	position	NN
14725	505	9	of	of	IN
14725	505	10	the	the	DT
14725	505	11	lines	line	NNS
14725	505	12	NH	NH	NNP
14725	505	13	,	,	,
14725	505	14	EM	EM	NNP
14725	505	15	,	,	,
14725	505	16	and	and	CC
14725	505	17	of	of	IN
14725	505	18	HE	HE	NNP
14725	505	19	,	,	,
14725	505	20	which	which	WDT
14725	505	21	is	be	VBZ
14725	505	22	the	the	DT
14725	505	23	thickness	thickness	NN
14725	505	24	of	of	IN
14725	505	25	the	the	DT
14725	505	26	Crystal	Crystal	NNP
14725	505	27	:	:	:
14725	505	28	which	which	WDT
14725	505	29	lines	line	NNS
14725	505	30	being	be	VBG
14725	505	31	traced	trace	VBN
14725	505	32	separately	separately	RB
14725	505	33	upon	upon	IN
14725	505	34	a	a	DT
14725	505	35	plan	plan	NN
14725	505	36	,	,	,
14725	505	37	and	and	CC
14725	505	38	then	then	RB
14725	505	39	joining	join	VBG
14725	505	40	NE	NE	NNP
14725	505	41	and	and	CC
14725	505	42	NM	NM	NNP
14725	505	43	which	which	WDT
14725	505	44	cuts	cut	VBZ
14725	505	45	HE	he	PRP
14725	505	46	at	at	IN
14725	505	47	P	p	NN
14725	505	48	,	,	,
14725	505	49	the	the	DT
14725	505	50	proportion	proportion	NN
14725	505	51	of	of	IN
14725	505	52	the	the	DT
14725	505	53	refraction	refraction	NN
14725	505	54	will	will	MD
14725	505	55	be	be	VB
14725	505	56	that	that	DT
14725	505	57	of	of	IN
14725	505	58	EN	en	NN
14725	505	59	to	to	IN
14725	505	60	NP	NP	NNP
14725	505	61	,	,	,
14725	505	62	because	because	IN
14725	505	63	these	these	DT
14725	505	64	lines	line	NNS
14725	505	65	are	be	VBP
14725	505	66	to	to	IN
14725	505	67	one	one	CD
14725	505	68	another	another	DT
14725	505	69	as	as	IN
14725	505	70	the	the	DT
14725	505	71	sines	sine	NNS
14725	505	72	of	of	IN
14725	505	73	the	the	DT
14725	505	74	angles	angle	NNS
14725	505	75	NPH	NPH	NNP
14725	505	76	,	,	,
14725	505	77	NEP	NEP	NNP
14725	505	78	,	,	,
14725	505	79	which	which	WDT
14725	505	80	are	be	VBP
14725	505	81	equal	equal	JJ
14725	505	82	to	to	IN
14725	505	83	those	those	DT
14725	505	84	which	which	WDT
14725	505	85	the	the	DT
14725	505	86	incident	incident	NN
14725	505	87	ray	ray	NN
14725	505	88	ON	ON	NNP
14725	505	89	and	and	CC
14725	505	90	its	-PRON-	PRP$
14725	505	91	refraction	refraction	NN
14725	505	92	NE	NE	NNP
14725	505	93	make	make	VBP
14725	505	94	with	with	IN
14725	505	95	the	the	DT
14725	505	96	perpendicular	perpendicular	NN
14725	505	97	to	to	IN
14725	505	98	the	the	DT
14725	505	99	surface	surface	NN
14725	505	100	.	.	.
14725	506	1	This	this	DT
14725	506	2	proportion	proportion	NN
14725	506	3	,	,	,
14725	506	4	as	as	IN
14725	506	5	I	-PRON-	PRP
14725	506	6	have	have	VBP
14725	506	7	said	say	VBD
14725	506	8	,	,	,
14725	506	9	is	be	VBZ
14725	506	10	sufficiently	sufficiently	RB
14725	506	11	precisely	precisely	RB
14725	506	12	as	as	IN
14725	506	13	5	5	CD
14725	506	14	to	to	IN
14725	506	15	3	3	CD
14725	506	16	,	,	,
14725	506	17	and	and	CC
14725	506	18	is	be	VBZ
14725	506	19	always	always	RB
14725	506	20	the	the	DT
14725	506	21	same	same	JJ
14725	506	22	for	for	IN
14725	506	23	all	all	DT
14725	506	24	inclinations	inclination	NNS
14725	506	25	of	of	IN
14725	506	26	the	the	DT
14725	506	27	incident	incident	NN
14725	506	28	ray	ray	NN
14725	506	29	.	.	.
14725	507	1	14	14	CD
14725	507	2	.	.	.
14725	508	1	The	the	DT
14725	508	2	same	same	JJ
14725	508	3	mode	mode	NN
14725	508	4	of	of	IN
14725	508	5	observation	observation	NN
14725	508	6	has	have	VBZ
14725	508	7	also	also	RB
14725	508	8	served	serve	VBN
14725	508	9	me	-PRON-	PRP
14725	508	10	for	for	IN
14725	508	11	examining	examine	VBG
14725	508	12	the	the	DT
14725	508	13	extraordinary	extraordinary	JJ
14725	508	14	or	or	CC
14725	508	15	irregular	irregular	JJ
14725	508	16	refraction	refraction	NN
14725	508	17	of	of	IN
14725	508	18	this	this	DT
14725	508	19	Crystal	Crystal	NNP
14725	508	20	.	.	.
14725	509	1	For	for	IN
14725	509	2	,	,	,
14725	509	3	the	the	DT
14725	509	4	point	point	NN
14725	509	5	H	h	NN
14725	509	6	having	have	VBG
14725	509	7	been	be	VBN
14725	509	8	found	find	VBN
14725	509	9	and	and	CC
14725	509	10	marked	mark	VBN
14725	509	11	,	,	,
14725	509	12	as	as	IN
14725	509	13	aforesaid	aforesaid	JJ
14725	509	14	,	,	,
14725	509	15	directly	directly	RB
14725	509	16	above	above	IN
14725	509	17	the	the	DT
14725	509	18	point	point	NN
14725	509	19	E	e	NN
14725	509	20	,	,	,
14725	509	21	I	-PRON-	PRP
14725	509	22	observed	observe	VBD
14725	509	23	the	the	DT
14725	509	24	appearance	appearance	NN
14725	509	25	of	of	IN
14725	509	26	the	the	DT
14725	509	27	line	line	NN
14725	509	28	CD	cd	NN
14725	509	29	,	,	,
14725	509	30	which	which	WDT
14725	509	31	is	be	VBZ
14725	509	32	made	make	VBN
14725	509	33	by	by	IN
14725	509	34	the	the	DT
14725	509	35	extraordinary	extraordinary	JJ
14725	509	36	refraction	refraction	NN
14725	509	37	;	;	:
14725	509	38	and	and	CC
14725	509	39	having	have	VBG
14725	509	40	placed	place	VBN
14725	509	41	the	the	DT
14725	509	42	eye	eye	NN
14725	509	43	at	at	IN
14725	509	44	Q	Q	NNP
14725	509	45	,	,	,
14725	509	46	so	so	IN
14725	509	47	that	that	IN
14725	509	48	this	this	DT
14725	509	49	appearance	appearance	NN
14725	509	50	made	make	VBD
14725	509	51	a	a	DT
14725	509	52	straight	straight	JJ
14725	509	53	line	line	NN
14725	509	54	with	with	IN
14725	509	55	the	the	DT
14725	509	56	line	line	NN
14725	509	57	KL	KL	NNP
14725	509	58	viewed	view	VBD
14725	509	59	without	without	IN
14725	509	60	refraction	refraction	NN
14725	509	61	,	,	,
14725	509	62	I	-PRON-	PRP
14725	509	63	ascertained	ascertain	VBD
14725	509	64	the	the	DT
14725	509	65	triangles	triangle	NNS
14725	509	66	REH	REH	NNP
14725	509	67	,	,	,
14725	509	68	RES	RES	NNP
14725	509	69	,	,	,
14725	509	70	and	and	CC
14725	509	71	consequently	consequently	RB
14725	509	72	the	the	DT
14725	509	73	angles	angle	NNS
14725	509	74	RSH	RSH	NNP
14725	509	75	,	,	,
14725	509	76	RES	RES	NNP
14725	509	77	,	,	,
14725	509	78	which	which	WDT
14725	509	79	the	the	DT
14725	509	80	incident	incident	NN
14725	509	81	and	and	CC
14725	509	82	the	the	DT
14725	509	83	refracted	refracted	JJ
14725	509	84	ray	ray	NN
14725	509	85	make	make	VBP
14725	509	86	with	with	IN
14725	509	87	the	the	DT
14725	509	88	perpendicular	perpendicular	NN
14725	509	89	.	.	.
14725	510	1	15	15	CD
14725	510	2	.	.	.
14725	511	1	But	but	CC
14725	511	2	I	-PRON-	PRP
14725	511	3	found	find	VBD
14725	511	4	in	in	IN
14725	511	5	this	this	DT
14725	511	6	refraction	refraction	NN
14725	511	7	that	that	IN
14725	511	8	the	the	DT
14725	511	9	ratio	ratio	NN
14725	511	10	of	of	IN
14725	511	11	FR	FR	NNP
14725	511	12	to	to	IN
14725	511	13	RS	RS	NNP
14725	511	14	was	be	VBD
14725	511	15	not	not	RB
14725	511	16	constant	constant	JJ
14725	511	17	,	,	,
14725	511	18	like	like	IN
14725	511	19	the	the	DT
14725	511	20	ordinary	ordinary	JJ
14725	511	21	refraction	refraction	NN
14725	511	22	,	,	,
14725	511	23	but	but	CC
14725	511	24	that	that	IN
14725	511	25	it	-PRON-	PRP
14725	511	26	varied	vary	VBD
14725	511	27	with	with	IN
14725	511	28	the	the	DT
14725	511	29	varying	varying	NN
14725	511	30	obliquity	obliquity	NN
14725	511	31	of	of	IN
14725	511	32	the	the	DT
14725	511	33	incident	incident	NN
14725	511	34	ray	ray	NN
14725	511	35	.	.	.
14725	512	1	16	16	CD
14725	512	2	.	.	.
14725	513	1	I	-PRON-	PRP
14725	513	2	found	find	VBD
14725	513	3	also	also	RB
14725	513	4	that	that	IN
14725	513	5	when	when	WRB
14725	513	6	QRE	QRE	NNP
14725	513	7	made	make	VBD
14725	513	8	a	a	DT
14725	513	9	straight	straight	JJ
14725	513	10	line	line	NN
14725	513	11	,	,	,
14725	513	12	that	that	RB
14725	513	13	is	is	RB
14725	513	14	,	,	,
14725	513	15	when	when	WRB
14725	513	16	the	the	DT
14725	513	17	incident	incident	NN
14725	513	18	ray	ray	NN
14725	513	19	entered	enter	VBD
14725	513	20	the	the	DT
14725	513	21	Crystal	Crystal	NNP
14725	513	22	without	without	IN
14725	513	23	being	be	VBG
14725	513	24	refracted	refract	VBN
14725	513	25	(	(	-LRB-
14725	513	26	as	as	IN
14725	513	27	I	-PRON-	PRP
14725	513	28	ascertained	ascertain	VBD
14725	513	29	by	by	IN
14725	513	30	the	the	DT
14725	513	31	circumstance	circumstance	NN
14725	513	32	that	that	WDT
14725	513	33	then	then	RB
14725	513	34	the	the	DT
14725	513	35	point	point	NN
14725	513	36	E	e	NN
14725	513	37	viewed	view	VBN
14725	513	38	by	by	IN
14725	513	39	the	the	DT
14725	513	40	extraordinary	extraordinary	JJ
14725	513	41	refraction	refraction	NN
14725	513	42	appeared	appear	VBD
14725	513	43	in	in	IN
14725	513	44	the	the	DT
14725	513	45	line	line	NN
14725	513	46	CD	cd	NN
14725	513	47	,	,	,
14725	513	48	as	as	IN
14725	513	49	seen	see	VBN
14725	513	50	without	without	IN
14725	513	51	refraction	refraction	NN
14725	513	52	)	)	-RRB-
14725	513	53	I	-PRON-	PRP
14725	513	54	found	find	VBD
14725	513	55	,	,	,
14725	513	56	I	-PRON-	PRP
14725	513	57	say	say	VBP
14725	513	58	,	,	,
14725	513	59	then	then	RB
14725	513	60	that	that	IN
14725	513	61	the	the	DT
14725	513	62	angle	angle	NN
14725	513	63	QRG	QRG	NNP
14725	513	64	was	be	VBD
14725	513	65	73	73	CD
14725	513	66	degrees	degree	NNS
14725	513	67	20	20	CD
14725	513	68	minutes	minute	NNS
14725	513	69	,	,	,
14725	513	70	as	as	IN
14725	513	71	has	have	VBZ
14725	513	72	been	be	VBN
14725	513	73	already	already	RB
14725	513	74	remarked	remark	VBN
14725	513	75	;	;	:
14725	513	76	and	and	CC
14725	513	77	so	so	RB
14725	513	78	it	-PRON-	PRP
14725	513	79	is	be	VBZ
14725	513	80	not	not	RB
14725	513	81	the	the	DT
14725	513	82	ray	ray	NN
14725	513	83	parallel	parallel	RB
14725	513	84	to	to	IN
14725	513	85	the	the	DT
14725	513	86	edge	edge	NN
14725	513	87	of	of	IN
14725	513	88	the	the	DT
14725	513	89	Crystal	Crystal	NNP
14725	513	90	,	,	,
14725	513	91	which	which	WDT
14725	513	92	crosses	cross	VBZ
14725	513	93	it	-PRON-	PRP
14725	513	94	in	in	IN
14725	513	95	a	a	DT
14725	513	96	straight	straight	JJ
14725	513	97	line	line	NN
14725	513	98	without	without	IN
14725	513	99	being	be	VBG
14725	513	100	refracted	refract	VBN
14725	513	101	,	,	,
14725	513	102	as	as	IN
14725	513	103	Mr.	Mr.	NNP
14725	513	104	Bartholinus	Bartholinus	NNP
14725	513	105	believed	believe	VBD
14725	513	106	,	,	,
14725	513	107	since	since	IN
14725	513	108	that	that	DT
14725	513	109	inclination	inclination	NN
14725	513	110	is	be	VBZ
14725	513	111	only	only	RB
14725	513	112	70	70	CD
14725	513	113	degrees	degree	NNS
14725	513	114	57	57	CD
14725	513	115	minutes	minute	NNS
14725	513	116	,	,	,
14725	513	117	as	as	IN
14725	513	118	was	be	VBD
14725	513	119	stated	state	VBN
14725	513	120	above	above	RB
14725	513	121	.	.	.
14725	514	1	And	and	CC
14725	514	2	this	this	DT
14725	514	3	is	be	VBZ
14725	514	4	to	to	TO
14725	514	5	be	be	VB
14725	514	6	noted	note	VBN
14725	514	7	,	,	,
14725	514	8	in	in	IN
14725	514	9	order	order	NN
14725	514	10	that	that	IN
14725	514	11	no	no	DT
14725	514	12	one	one	NN
14725	514	13	may	may	MD
14725	514	14	search	search	VB
14725	514	15	in	in	RP
14725	514	16	vain	vain	NN
14725	514	17	for	for	IN
14725	514	18	the	the	DT
14725	514	19	cause	cause	NN
14725	514	20	of	of	IN
14725	514	21	the	the	DT
14725	514	22	singular	singular	JJ
14725	514	23	property	property	NN
14725	514	24	of	of	IN
14725	514	25	this	this	DT
14725	514	26	ray	ray	NN
14725	514	27	in	in	IN
14725	514	28	its	-PRON-	PRP$
14725	514	29	parallelism	parallelism	NN
14725	514	30	to	to	IN
14725	514	31	the	the	DT
14725	514	32	edges	edge	NNS
14725	514	33	mentioned	mention	VBN
14725	514	34	.	.	.
14725	515	1	[	[	-LRB-
14725	515	2	Illustration	illustration	NN
14725	515	3	]	]	-RRB-
14725	515	4	17	17	CD
14725	515	5	.	.	.
14725	516	1	Finally	finally	RB
14725	516	2	,	,	,
14725	516	3	continuing	continue	VBG
14725	516	4	my	-PRON-	PRP$
14725	516	5	observations	observation	NNS
14725	516	6	to	to	TO
14725	516	7	discover	discover	VB
14725	516	8	the	the	DT
14725	516	9	nature	nature	NN
14725	516	10	of	of	IN
14725	516	11	this	this	DT
14725	516	12	refraction	refraction	NN
14725	516	13	,	,	,
14725	516	14	I	-PRON-	PRP
14725	516	15	learned	learn	VBD
14725	516	16	that	that	IN
14725	516	17	it	-PRON-	PRP
14725	516	18	obeyed	obey	VBD
14725	516	19	the	the	DT
14725	516	20	following	follow	VBG
14725	516	21	remarkable	remarkable	JJ
14725	516	22	rule	rule	NN
14725	516	23	.	.	.
14725	517	1	Let	let	VB
14725	517	2	the	the	DT
14725	517	3	parallelogram	parallelogram	NN
14725	517	4	GCFH	GCFH	NNP
14725	517	5	,	,	,
14725	517	6	made	make	VBN
14725	517	7	by	by	IN
14725	517	8	the	the	DT
14725	517	9	principal	principal	JJ
14725	517	10	section	section	NN
14725	517	11	of	of	IN
14725	517	12	the	the	DT
14725	517	13	Crystal	Crystal	NNP
14725	517	14	,	,	,
14725	517	15	as	as	RB
14725	517	16	previously	previously	RB
14725	517	17	determined	determine	VBN
14725	517	18	,	,	,
14725	517	19	be	be	VB
14725	517	20	traced	trace	VBN
14725	517	21	separately	separately	RB
14725	517	22	.	.	.
14725	518	1	I	-PRON-	PRP
14725	518	2	found	find	VBD
14725	518	3	then	then	RB
14725	518	4	that	that	IN
14725	518	5	always	always	RB
14725	518	6	,	,	,
14725	518	7	when	when	WRB
14725	518	8	the	the	DT
14725	518	9	inclinations	inclination	NNS
14725	518	10	of	of	IN
14725	518	11	two	two	CD
14725	518	12	rays	ray	NNS
14725	518	13	which	which	WDT
14725	518	14	come	come	VBP
14725	518	15	from	from	IN
14725	518	16	opposite	opposite	JJ
14725	518	17	sides	side	NNS
14725	518	18	,	,	,
14725	518	19	as	as	IN
14725	518	20	VK	VK	NNP
14725	518	21	,	,	,
14725	518	22	SK	SK	NNP
14725	518	23	here	here	RB
14725	518	24	,	,	,
14725	518	25	are	be	VBP
14725	518	26	equal	equal	JJ
14725	518	27	,	,	,
14725	518	28	their	-PRON-	PRP$
14725	518	29	refractions	refraction	NNS
14725	518	30	KX	KX	NNP
14725	518	31	and	and	CC
14725	518	32	KT	KT	NNP
14725	518	33	meet	meet	VBP
14725	518	34	the	the	DT
14725	518	35	bottom	bottom	JJ
14725	518	36	line	line	NN
14725	518	37	HF	HF	NNP
14725	518	38	in	in	IN
14725	518	39	such	such	JJ
14725	518	40	wise	wise	JJ
14725	518	41	that	that	IN
14725	518	42	points	point	NNS
14725	518	43	X	X	NNP
14725	518	44	and	and	CC
14725	518	45	T	t	NN
14725	518	46	are	be	VBP
14725	518	47	equally	equally	RB
14725	518	48	distant	distant	JJ
14725	518	49	from	from	IN
14725	518	50	the	the	DT
14725	518	51	point	point	NN
14725	518	52	M	M	NNP
14725	518	53	,	,	,
14725	518	54	where	where	WRB
14725	518	55	the	the	DT
14725	518	56	refraction	refraction	NN
14725	518	57	of	of	IN
14725	518	58	the	the	DT
14725	518	59	perpendicular	perpendicular	JJ
14725	518	60	ray	ray	NNP
14725	518	61	IK	IK	NNP
14725	518	62	falls	fall	VBZ
14725	518	63	;	;	:
14725	518	64	and	and	CC
14725	518	65	this	this	DT
14725	518	66	occurs	occur	VBZ
14725	518	67	also	also	RB
14725	518	68	for	for	IN
14725	518	69	refractions	refraction	NNS
14725	518	70	in	in	IN
14725	518	71	other	other	JJ
14725	518	72	sections	section	NNS
14725	518	73	of	of	IN
14725	518	74	this	this	DT
14725	518	75	Crystal	Crystal	NNP
14725	518	76	.	.	.
14725	519	1	But	but	CC
14725	519	2	before	before	IN
14725	519	3	speaking	speak	VBG
14725	519	4	of	of	IN
14725	519	5	those	those	DT
14725	519	6	,	,	,
14725	519	7	which	which	WDT
14725	519	8	have	have	VBP
14725	519	9	also	also	RB
14725	519	10	other	other	JJ
14725	519	11	particular	particular	JJ
14725	519	12	properties	property	NNS
14725	519	13	,	,	,
14725	519	14	we	-PRON-	PRP
14725	519	15	will	will	MD
14725	519	16	investigate	investigate	VB
14725	519	17	the	the	DT
14725	519	18	causes	cause	NNS
14725	519	19	of	of	IN
14725	519	20	the	the	DT
14725	519	21	phenomena	phenomenon	NNS
14725	519	22	which	which	WDT
14725	519	23	I	-PRON-	PRP
14725	519	24	have	have	VBP
14725	519	25	already	already	RB
14725	519	26	reported	report	VBN
14725	519	27	.	.	.
14725	520	1	It	-PRON-	PRP
14725	520	2	was	be	VBD
14725	520	3	after	after	IN
14725	520	4	having	have	VBG
14725	520	5	explained	explain	VBN
14725	520	6	the	the	DT
14725	520	7	refraction	refraction	NN
14725	520	8	of	of	IN
14725	520	9	ordinary	ordinary	JJ
14725	520	10	transparent	transparent	JJ
14725	520	11	bodies	body	NNS
14725	520	12	by	by	IN
14725	520	13	means	mean	NNS
14725	520	14	of	of	IN
14725	520	15	the	the	DT
14725	520	16	spherical	spherical	JJ
14725	520	17	emanations	emanation	NNS
14725	520	18	of	of	IN
14725	520	19	light	light	NN
14725	520	20	,	,	,
14725	520	21	as	as	IN
14725	520	22	above	above	RB
14725	520	23	,	,	,
14725	520	24	that	that	IN
14725	520	25	I	-PRON-	PRP
14725	520	26	resumed	resume	VBD
14725	520	27	my	-PRON-	PRP$
14725	520	28	examination	examination	NN
14725	520	29	of	of	IN
14725	520	30	the	the	DT
14725	520	31	nature	nature	NN
14725	520	32	of	of	IN
14725	520	33	this	this	DT
14725	520	34	Crystal	Crystal	NNP
14725	520	35	,	,	,
14725	520	36	wherein	wherein	WRB
14725	520	37	I	-PRON-	PRP
14725	520	38	had	have	VBD
14725	520	39	previously	previously	RB
14725	520	40	been	be	VBN
14725	520	41	unable	unable	JJ
14725	520	42	to	to	TO
14725	520	43	discover	discover	VB
14725	520	44	anything	anything	NN
14725	520	45	.	.	.
14725	521	1	18	18	CD
14725	521	2	.	.	.
14725	522	1	As	as	IN
14725	522	2	there	there	EX
14725	522	3	were	be	VBD
14725	522	4	two	two	CD
14725	522	5	different	different	JJ
14725	522	6	refractions	refraction	NNS
14725	522	7	,	,	,
14725	522	8	I	-PRON-	PRP
14725	522	9	conceived	conceive	VBD
14725	522	10	that	that	IN
14725	522	11	there	there	EX
14725	522	12	were	be	VBD
14725	522	13	also	also	RB
14725	522	14	two	two	CD
14725	522	15	different	different	JJ
14725	522	16	emanations	emanation	NNS
14725	522	17	of	of	IN
14725	522	18	waves	wave	NNS
14725	522	19	of	of	IN
14725	522	20	light	light	NN
14725	522	21	,	,	,
14725	522	22	and	and	CC
14725	522	23	that	that	IN
14725	522	24	one	one	PRP
14725	522	25	could	could	MD
14725	522	26	occur	occur	VB
14725	522	27	in	in	IN
14725	522	28	the	the	DT
14725	522	29	ethereal	ethereal	JJ
14725	522	30	matter	matter	NN
14725	522	31	extending	extend	VBG
14725	522	32	through	through	IN
14725	522	33	the	the	DT
14725	522	34	body	body	NN
14725	522	35	of	of	IN
14725	522	36	the	the	DT
14725	522	37	Crystal	Crystal	NNP
14725	522	38	.	.	.
14725	523	1	Which	which	WDT
14725	523	2	matter	matter	NN
14725	523	3	,	,	,
14725	523	4	being	be	VBG
14725	523	5	present	present	JJ
14725	523	6	in	in	IN
14725	523	7	much	much	RB
14725	523	8	larger	large	JJR
14725	523	9	quantity	quantity	NN
14725	523	10	than	than	IN
14725	523	11	is	be	VBZ
14725	523	12	that	that	DT
14725	523	13	of	of	IN
14725	523	14	the	the	DT
14725	523	15	particles	particle	NNS
14725	523	16	which	which	WDT
14725	523	17	compose	compose	VBP
14725	523	18	it	-PRON-	PRP
14725	523	19	,	,	,
14725	523	20	was	be	VBD
14725	523	21	alone	alone	RB
14725	523	22	capable	capable	JJ
14725	523	23	of	of	IN
14725	523	24	causing	cause	VBG
14725	523	25	transparency	transparency	NN
14725	523	26	,	,	,
14725	523	27	according	accord	VBG
14725	523	28	to	to	IN
14725	523	29	what	what	WP
14725	523	30	has	have	VBZ
14725	523	31	been	be	VBN
14725	523	32	explained	explain	VBN
14725	523	33	heretofore	heretofore	RB
14725	523	34	.	.	.
14725	524	1	I	-PRON-	PRP
14725	524	2	attributed	attribute	VBD
14725	524	3	to	to	IN
14725	524	4	this	this	DT
14725	524	5	emanation	emanation	NN
14725	524	6	of	of	IN
14725	524	7	waves	wave	NNS
14725	524	8	the	the	DT
14725	524	9	regular	regular	JJ
14725	524	10	refraction	refraction	NN
14725	524	11	which	which	WDT
14725	524	12	is	be	VBZ
14725	524	13	observed	observe	VBN
14725	524	14	in	in	IN
14725	524	15	this	this	DT
14725	524	16	stone	stone	NN
14725	524	17	,	,	,
14725	524	18	by	by	IN
14725	524	19	supposing	suppose	VBG
14725	524	20	these	these	DT
14725	524	21	waves	wave	NNS
14725	524	22	to	to	TO
14725	524	23	be	be	VB
14725	524	24	ordinarily	ordinarily	RB
14725	524	25	of	of	IN
14725	524	26	spherical	spherical	JJ
14725	524	27	form	form	NN
14725	524	28	,	,	,
14725	524	29	and	and	CC
14725	524	30	having	have	VBG
14725	524	31	a	a	DT
14725	524	32	slower	slow	JJR
14725	524	33	progression	progression	NN
14725	524	34	within	within	IN
14725	524	35	the	the	DT
14725	524	36	Crystal	Crystal	NNP
14725	524	37	than	than	IN
14725	524	38	they	-PRON-	PRP
14725	524	39	have	have	VBP
14725	524	40	outside	outside	IN
14725	524	41	it	-PRON-	PRP
14725	524	42	;	;	:
14725	524	43	whence	whence	NN
14725	524	44	proceeds	proceed	VBZ
14725	524	45	refraction	refraction	NN
14725	524	46	as	as	IN
14725	524	47	I	-PRON-	PRP
14725	524	48	have	have	VBP
14725	524	49	demonstrated	demonstrate	VBN
14725	524	50	.	.	.
14725	525	1	19	19	CD
14725	525	2	.	.	.
14725	526	1	As	as	IN
14725	526	2	to	to	IN
14725	526	3	the	the	DT
14725	526	4	other	other	JJ
14725	526	5	emanation	emanation	NN
14725	526	6	which	which	WDT
14725	526	7	should	should	MD
14725	526	8	produce	produce	VB
14725	526	9	the	the	DT
14725	526	10	irregular	irregular	JJ
14725	526	11	refraction	refraction	NN
14725	526	12	,	,	,
14725	526	13	I	-PRON-	PRP
14725	526	14	wished	wish	VBD
14725	526	15	to	to	TO
14725	526	16	try	try	VB
14725	526	17	what	what	WP
14725	526	18	Elliptical	elliptical	JJ
14725	526	19	waves	wave	NNS
14725	526	20	,	,	,
14725	526	21	or	or	CC
14725	526	22	rather	rather	RB
14725	526	23	spheroidal	spheroidal	JJ
14725	526	24	waves	wave	NNS
14725	526	25	,	,	,
14725	526	26	would	would	MD
14725	526	27	do	do	VB
14725	526	28	;	;	:
14725	526	29	and	and	CC
14725	526	30	these	these	DT
14725	526	31	I	-PRON-	PRP
14725	526	32	supposed	suppose	VBD
14725	526	33	would	would	MD
14725	526	34	spread	spread	VB
14725	526	35	indifferently	indifferently	RB
14725	526	36	both	both	CC
14725	526	37	in	in	IN
14725	526	38	the	the	DT
14725	526	39	ethereal	ethereal	JJ
14725	526	40	matter	matter	NN
14725	526	41	diffused	diffuse	VBD
14725	526	42	throughout	throughout	IN
14725	526	43	the	the	DT
14725	526	44	crystal	crystal	NN
14725	526	45	and	and	CC
14725	526	46	in	in	IN
14725	526	47	the	the	DT
14725	526	48	particles	particle	NNS
14725	526	49	of	of	IN
14725	526	50	which	which	WDT
14725	526	51	it	-PRON-	PRP
14725	526	52	is	be	VBZ
14725	526	53	composed	compose	VBN
14725	526	54	,	,	,
14725	526	55	according	accord	VBG
14725	526	56	to	to	IN
14725	526	57	the	the	DT
14725	526	58	last	last	JJ
14725	526	59	mode	mode	NN
14725	526	60	in	in	IN
14725	526	61	which	which	WDT
14725	526	62	I	-PRON-	PRP
14725	526	63	have	have	VBP
14725	526	64	explained	explain	VBN
14725	526	65	transparency	transparency	NN
14725	526	66	.	.	.
14725	527	1	It	-PRON-	PRP
14725	527	2	seemed	seem	VBD
14725	527	3	to	to	IN
14725	527	4	me	-PRON-	PRP
14725	527	5	that	that	IN
14725	527	6	the	the	DT
14725	527	7	disposition	disposition	NN
14725	527	8	or	or	CC
14725	527	9	regular	regular	JJ
14725	527	10	arrangement	arrangement	NN
14725	527	11	of	of	IN
14725	527	12	these	these	DT
14725	527	13	particles	particle	NNS
14725	527	14	could	could	MD
14725	527	15	contribute	contribute	VB
14725	527	16	to	to	TO
14725	527	17	form	form	VB
14725	527	18	spheroidal	spheroidal	JJ
14725	527	19	waves	wave	NNS
14725	527	20	(	(	-LRB-
14725	527	21	nothing	nothing	NN
14725	527	22	more	more	JJR
14725	527	23	being	be	VBG
14725	527	24	required	require	VBN
14725	527	25	for	for	IN
14725	527	26	this	this	DT
14725	527	27	than	than	IN
14725	527	28	that	that	IN
14725	527	29	the	the	DT
14725	527	30	successive	successive	JJ
14725	527	31	movement	movement	NN
14725	527	32	of	of	IN
14725	527	33	light	light	NN
14725	527	34	should	should	MD
14725	527	35	spread	spread	VB
14725	527	36	a	a	DT
14725	527	37	little	little	RB
14725	527	38	more	more	RBR
14725	527	39	quickly	quickly	RB
14725	527	40	in	in	IN
14725	527	41	one	one	CD
14725	527	42	direction	direction	NN
14725	527	43	than	than	IN
14725	527	44	in	in	IN
14725	527	45	the	the	DT
14725	527	46	other	other	JJ
14725	527	47	)	)	-RRB-
14725	527	48	and	and	CC
14725	527	49	I	-PRON-	PRP
14725	527	50	scarcely	scarcely	RB
14725	527	51	doubted	doubt	VBD
14725	527	52	that	that	IN
14725	527	53	there	there	EX
14725	527	54	were	be	VBD
14725	527	55	in	in	IN
14725	527	56	this	this	DT
14725	527	57	crystal	crystal	NN
14725	527	58	such	such	PDT
14725	527	59	an	an	DT
14725	527	60	arrangement	arrangement	NN
14725	527	61	of	of	IN
14725	527	62	equal	equal	JJ
14725	527	63	and	and	CC
14725	527	64	similar	similar	JJ
14725	527	65	particles	particle	NNS
14725	527	66	,	,	,
14725	527	67	because	because	IN
14725	527	68	of	of	IN
14725	527	69	its	-PRON-	PRP$
14725	527	70	figure	figure	NN
14725	527	71	and	and	CC
14725	527	72	of	of	IN
14725	527	73	its	-PRON-	PRP$
14725	527	74	angles	angle	NNS
14725	527	75	with	with	IN
14725	527	76	their	-PRON-	PRP$
14725	527	77	determinate	determinate	NN
14725	527	78	and	and	CC
14725	527	79	invariable	invariable	JJ
14725	527	80	measure	measure	NN
14725	527	81	.	.	.
14725	528	1	Touching	touching	JJ
14725	528	2	which	which	WDT
14725	528	3	particles	particle	NNS
14725	528	4	,	,	,
14725	528	5	and	and	CC
14725	528	6	their	-PRON-	PRP$
14725	528	7	form	form	NN
14725	528	8	and	and	CC
14725	528	9	disposition	disposition	NN
14725	528	10	,	,	,
14725	528	11	I	-PRON-	PRP
14725	528	12	shall	shall	MD
14725	528	13	,	,	,
14725	528	14	at	at	IN
14725	528	15	the	the	DT
14725	528	16	end	end	NN
14725	528	17	of	of	IN
14725	528	18	this	this	DT
14725	528	19	Treatise	Treatise	NNP
14725	528	20	,	,	,
14725	528	21	propound	propound	IN
14725	528	22	my	-PRON-	PRP$
14725	528	23	conjectures	conjecture	NNS
14725	528	24	and	and	CC
14725	528	25	some	some	DT
14725	528	26	experiments	experiment	NNS
14725	528	27	which	which	WDT
14725	528	28	confirm	confirm	VBP
14725	528	29	them	-PRON-	PRP
14725	528	30	.	.	.
14725	529	1	20	20	CD
14725	529	2	.	.	.
14725	530	1	The	the	DT
14725	530	2	double	double	JJ
14725	530	3	emission	emission	NN
14725	530	4	of	of	IN
14725	530	5	waves	wave	NNS
14725	530	6	of	of	IN
14725	530	7	light	light	NN
14725	530	8	,	,	,
14725	530	9	which	which	WDT
14725	530	10	I	-PRON-	PRP
14725	530	11	had	have	VBD
14725	530	12	imagined	imagine	VBN
14725	530	13	,	,	,
14725	530	14	became	become	VBD
14725	530	15	more	more	RBR
14725	530	16	probable	probable	JJ
14725	530	17	to	to	IN
14725	530	18	me	-PRON-	PRP
14725	530	19	after	after	IN
14725	530	20	I	-PRON-	PRP
14725	530	21	had	have	VBD
14725	530	22	observed	observe	VBN
14725	530	23	a	a	DT
14725	530	24	certain	certain	JJ
14725	530	25	phenomenon	phenomenon	NN
14725	530	26	in	in	IN
14725	530	27	the	the	DT
14725	530	28	ordinary	ordinary	JJ
14725	530	29	[	[	-LRB-
14725	530	30	Rock	Rock	NNP
14725	530	31	]	]	-RRB-
14725	530	32	Crystal	Crystal	NNP
14725	530	33	,	,	,
14725	530	34	which	which	WDT
14725	530	35	occurs	occur	VBZ
14725	530	36	in	in	IN
14725	530	37	hexagonal	hexagonal	JJ
14725	530	38	form	form	NN
14725	530	39	,	,	,
14725	530	40	and	and	CC
14725	530	41	which	which	WDT
14725	530	42	,	,	,
14725	530	43	because	because	IN
14725	530	44	of	of	IN
14725	530	45	this	this	DT
14725	530	46	regularity	regularity	NN
14725	530	47	,	,	,
14725	530	48	seems	seem	VBZ
14725	530	49	also	also	RB
14725	530	50	to	to	TO
14725	530	51	be	be	VB
14725	530	52	composed	compose	VBN
14725	530	53	of	of	IN
14725	530	54	particles	particle	NNS
14725	530	55	,	,	,
14725	530	56	of	of	IN
14725	530	57	definite	definite	JJ
14725	530	58	figure	figure	NN
14725	530	59	,	,	,
14725	530	60	and	and	CC
14725	530	61	ranged	range	VBN
14725	530	62	in	in	IN
14725	530	63	order	order	NN
14725	530	64	.	.	.
14725	531	1	This	this	DT
14725	531	2	was	be	VBD
14725	531	3	,	,	,
14725	531	4	that	that	IN
14725	531	5	this	this	DT
14725	531	6	crystal	crystal	NN
14725	531	7	,	,	,
14725	531	8	as	as	RB
14725	531	9	well	well	RB
14725	531	10	as	as	IN
14725	531	11	that	that	DT
14725	531	12	from	from	IN
14725	531	13	Iceland	Iceland	NNP
14725	531	14	,	,	,
14725	531	15	has	have	VBZ
14725	531	16	a	a	DT
14725	531	17	double	double	JJ
14725	531	18	refraction	refraction	NN
14725	531	19	,	,	,
14725	531	20	though	though	IN
14725	531	21	less	less	RBR
14725	531	22	evident	evident	JJ
14725	531	23	.	.	.
14725	532	1	For	for	IN
14725	532	2	having	have	VBG
14725	532	3	had	have	VBD
14725	532	4	cut	cut	VBN
14725	532	5	from	from	IN
14725	532	6	it	-PRON-	PRP
14725	532	7	some	some	DT
14725	532	8	well	well	RB
14725	532	9	polished	polished	JJ
14725	532	10	Prisms	Prisms	NNPS
14725	532	11	of	of	IN
14725	532	12	different	different	JJ
14725	532	13	sections	section	NNS
14725	532	14	,	,	,
14725	532	15	I	-PRON-	PRP
14725	532	16	remarked	remark	VBD
14725	532	17	in	in	RP
14725	532	18	all	all	DT
14725	532	19	,	,	,
14725	532	20	in	in	IN
14725	532	21	viewing	view	VBG
14725	532	22	through	through	IN
14725	532	23	them	-PRON-	PRP
14725	532	24	the	the	DT
14725	532	25	flame	flame	NN
14725	532	26	of	of	IN
14725	532	27	a	a	DT
14725	532	28	candle	candle	NN
14725	532	29	or	or	CC
14725	532	30	the	the	DT
14725	532	31	lead	lead	NN
14725	532	32	of	of	IN
14725	532	33	window	window	NN
14725	532	34	panes	pane	NNS
14725	532	35	,	,	,
14725	532	36	that	that	IN
14725	532	37	everything	everything	NN
14725	532	38	appeared	appear	VBD
14725	532	39	double	double	JJ
14725	532	40	,	,	,
14725	532	41	though	though	RB
14725	532	42	with	with	IN
14725	532	43	images	image	NNS
14725	532	44	not	not	RB
14725	532	45	very	very	RB
14725	532	46	distant	distant	JJ
14725	532	47	from	from	IN
14725	532	48	one	one	CD
14725	532	49	another	another	DT
14725	532	50	.	.	.
14725	533	1	Whence	whence	UH
14725	533	2	I	-PRON-	PRP
14725	533	3	understood	understand	VBD
14725	533	4	the	the	DT
14725	533	5	reason	reason	NN
14725	533	6	why	why	WRB
14725	533	7	this	this	DT
14725	533	8	substance	substance	NN
14725	533	9	,	,	,
14725	533	10	though	though	IN
14725	533	11	so	so	RB
14725	533	12	transparent	transparent	JJ
14725	533	13	,	,	,
14725	533	14	is	be	VBZ
14725	533	15	useless	useless	JJ
14725	533	16	for	for	IN
14725	533	17	Telescopes	Telescopes	NNPS
14725	533	18	,	,	,
14725	533	19	when	when	WRB
14725	533	20	they	-PRON-	PRP
14725	533	21	have	have	VBP
14725	533	22	ever	ever	RB
14725	533	23	so	so	RB
14725	533	24	little	little	JJ
14725	533	25	length	length	NN
14725	533	26	.	.	.
14725	534	1	21	21	CD
14725	534	2	.	.	.
14725	535	1	Now	now	RB
14725	535	2	this	this	DT
14725	535	3	double	double	JJ
14725	535	4	refraction	refraction	NN
14725	535	5	,	,	,
14725	535	6	according	accord	VBG
14725	535	7	to	to	IN
14725	535	8	my	-PRON-	PRP$
14725	535	9	Theory	Theory	NNP
14725	535	10	hereinbefore	hereinbefore	NN
14725	535	11	established	establish	VBN
14725	535	12	,	,	,
14725	535	13	seemed	seem	VBD
14725	535	14	to	to	TO
14725	535	15	demand	demand	VB
14725	535	16	a	a	DT
14725	535	17	double	double	JJ
14725	535	18	emission	emission	NN
14725	535	19	of	of	IN
14725	535	20	waves	wave	NNS
14725	535	21	of	of	IN
14725	535	22	light	light	NN
14725	535	23	,	,	,
14725	535	24	both	both	DT
14725	535	25	of	of	IN
14725	535	26	them	-PRON-	PRP
14725	535	27	spherical	spherical	JJ
14725	535	28	(	(	-LRB-
14725	535	29	for	for	IN
14725	535	30	both	both	DT
14725	535	31	the	the	DT
14725	535	32	refractions	refraction	NNS
14725	535	33	are	be	VBP
14725	535	34	regular	regular	JJ
14725	535	35	)	)	-RRB-
14725	535	36	and	and	CC
14725	535	37	those	those	DT
14725	535	38	of	of	IN
14725	535	39	one	one	CD
14725	535	40	series	series	NN
14725	535	41	a	a	DT
14725	535	42	little	little	JJ
14725	535	43	slower	slow	JJR
14725	535	44	only	only	RB
14725	535	45	than	than	IN
14725	535	46	the	the	DT
14725	535	47	others	other	NNS
14725	535	48	.	.	.
14725	536	1	For	for	IN
14725	536	2	thus	thus	RB
14725	536	3	the	the	DT
14725	536	4	phenomenon	phenomenon	NN
14725	536	5	is	be	VBZ
14725	536	6	quite	quite	RB
14725	536	7	naturally	naturally	RB
14725	536	8	explained	explain	VBN
14725	536	9	,	,	,
14725	536	10	by	by	IN
14725	536	11	postulating	postulate	VBG
14725	536	12	substances	substance	NNS
14725	536	13	which	which	WDT
14725	536	14	serve	serve	VBP
14725	536	15	as	as	IN
14725	536	16	vehicle	vehicle	NN
14725	536	17	for	for	IN
14725	536	18	these	these	DT
14725	536	19	waves	wave	NNS
14725	536	20	,	,	,
14725	536	21	as	as	IN
14725	536	22	I	-PRON-	PRP
14725	536	23	have	have	VBP
14725	536	24	done	do	VBN
14725	536	25	in	in	IN
14725	536	26	the	the	DT
14725	536	27	case	case	NN
14725	536	28	of	of	IN
14725	536	29	Iceland	Iceland	NNP
14725	536	30	Crystal	Crystal	NNP
14725	536	31	.	.	.
14725	537	1	I	-PRON-	PRP
14725	537	2	had	have	VBD
14725	537	3	then	then	RB
14725	537	4	less	less	JJR
14725	537	5	trouble	trouble	NN
14725	537	6	after	after	IN
14725	537	7	that	that	DT
14725	537	8	in	in	IN
14725	537	9	admitting	admit	VBG
14725	537	10	two	two	CD
14725	537	11	emissions	emission	NNS
14725	537	12	of	of	IN
14725	537	13	waves	wave	NNS
14725	537	14	in	in	IN
14725	537	15	one	one	CD
14725	537	16	and	and	CC
14725	537	17	the	the	DT
14725	537	18	same	same	JJ
14725	537	19	body	body	NN
14725	537	20	.	.	.
14725	538	1	And	and	CC
14725	538	2	since	since	IN
14725	538	3	it	-PRON-	PRP
14725	538	4	might	may	MD
14725	538	5	have	have	VB
14725	538	6	been	be	VBN
14725	538	7	objected	object	VBN
14725	538	8	that	that	IN
14725	538	9	in	in	IN
14725	538	10	composing	compose	VBG
14725	538	11	these	these	DT
14725	538	12	two	two	CD
14725	538	13	kinds	kind	NNS
14725	538	14	of	of	IN
14725	538	15	crystal	crystal	NN
14725	538	16	of	of	IN
14725	538	17	equal	equal	JJ
14725	538	18	particles	particle	NNS
14725	538	19	of	of	IN
14725	538	20	a	a	DT
14725	538	21	certain	certain	JJ
14725	538	22	figure	figure	NN
14725	538	23	,	,	,
14725	538	24	regularly	regularly	RB
14725	538	25	piled	pile	VBN
14725	538	26	,	,	,
14725	538	27	the	the	DT
14725	538	28	interstices	interstice	NNS
14725	538	29	which	which	WDT
14725	538	30	these	these	DT
14725	538	31	particles	particle	NNS
14725	538	32	leave	leave	VBP
14725	538	33	and	and	CC
14725	538	34	which	which	WDT
14725	538	35	contain	contain	VBP
14725	538	36	the	the	DT
14725	538	37	ethereal	ethereal	JJ
14725	538	38	matter	matter	NN
14725	538	39	would	would	MD
14725	538	40	scarcely	scarcely	RB
14725	538	41	suffice	suffice	VB
14725	538	42	to	to	TO
14725	538	43	transmit	transmit	VB
14725	538	44	the	the	DT
14725	538	45	waves	wave	NNS
14725	538	46	of	of	IN
14725	538	47	light	light	NN
14725	538	48	which	which	WDT
14725	538	49	I	-PRON-	PRP
14725	538	50	have	have	VBP
14725	538	51	localized	localize	VBN
14725	538	52	there	there	RB
14725	538	53	,	,	,
14725	538	54	I	-PRON-	PRP
14725	538	55	removed	remove	VBD
14725	538	56	this	this	DT
14725	538	57	difficulty	difficulty	NN
14725	538	58	by	by	IN
14725	538	59	regarding	regard	VBG
14725	538	60	these	these	DT
14725	538	61	particles	particle	NNS
14725	538	62	as	as	IN
14725	538	63	being	be	VBG
14725	538	64	of	of	IN
14725	538	65	a	a	DT
14725	538	66	very	very	RB
14725	538	67	rare	rare	JJ
14725	538	68	texture	texture	NN
14725	538	69	,	,	,
14725	538	70	or	or	CC
14725	538	71	rather	rather	RB
14725	538	72	as	as	IN
14725	538	73	composed	compose	VBN
14725	538	74	of	of	IN
14725	538	75	other	other	JJ
14725	538	76	much	much	RB
14725	538	77	smaller	small	JJR
14725	538	78	particles	particle	NNS
14725	538	79	,	,	,
14725	538	80	between	between	IN
14725	538	81	which	which	WDT
14725	538	82	the	the	DT
14725	538	83	ethereal	ethereal	JJ
14725	538	84	matter	matter	NN
14725	538	85	passes	pass	VBZ
14725	538	86	quite	quite	RB
14725	538	87	freely	freely	RB
14725	538	88	.	.	.
14725	539	1	This	this	DT
14725	539	2	,	,	,
14725	539	3	moreover	moreover	RB
14725	539	4	,	,	,
14725	539	5	necessarily	necessarily	RB
14725	539	6	follows	follow	VBZ
14725	539	7	from	from	IN
14725	539	8	that	that	DT
14725	539	9	which	which	WDT
14725	539	10	has	have	VBZ
14725	539	11	been	be	VBN
14725	539	12	already	already	RB
14725	539	13	demonstrated	demonstrate	VBN
14725	539	14	touching	touch	VBG
14725	539	15	the	the	DT
14725	539	16	small	small	JJ
14725	539	17	quantity	quantity	NN
14725	539	18	of	of	IN
14725	539	19	matter	matter	NN
14725	539	20	of	of	IN
14725	539	21	which	which	WDT
14725	539	22	the	the	DT
14725	539	23	bodies	body	NNS
14725	539	24	are	be	VBP
14725	539	25	built	build	VBN
14725	539	26	up	up	RP
14725	539	27	.	.	.
14725	540	1	22	22	CD
14725	540	2	.	.	.
14725	541	1	Supposing	suppose	VBG
14725	541	2	then	then	RB
14725	541	3	these	these	DT
14725	541	4	spheroidal	spheroidal	JJ
14725	541	5	waves	wave	NNS
14725	541	6	besides	besides	IN
14725	541	7	the	the	DT
14725	541	8	spherical	spherical	JJ
14725	541	9	ones	one	NNS
14725	541	10	,	,	,
14725	541	11	I	-PRON-	PRP
14725	541	12	began	begin	VBD
14725	541	13	to	to	TO
14725	541	14	examine	examine	VB
14725	541	15	whether	whether	IN
14725	541	16	they	-PRON-	PRP
14725	541	17	could	could	MD
14725	541	18	serve	serve	VB
14725	541	19	to	to	TO
14725	541	20	explain	explain	VB
14725	541	21	the	the	DT
14725	541	22	phenomena	phenomenon	NNS
14725	541	23	of	of	IN
14725	541	24	the	the	DT
14725	541	25	irregular	irregular	JJ
14725	541	26	refraction	refraction	NN
14725	541	27	,	,	,
14725	541	28	and	and	CC
14725	541	29	how	how	WRB
14725	541	30	by	by	IN
14725	541	31	these	these	DT
14725	541	32	same	same	JJ
14725	541	33	phenomena	phenomenon	NNS
14725	541	34	I	-PRON-	PRP
14725	541	35	could	could	MD
14725	541	36	determine	determine	VB
14725	541	37	the	the	DT
14725	541	38	figure	figure	NN
14725	541	39	and	and	CC
14725	541	40	position	position	NN
14725	541	41	of	of	IN
14725	541	42	the	the	DT
14725	541	43	spheroids	spheroid	NNS
14725	541	44	:	:	:
14725	541	45	as	as	IN
14725	541	46	to	to	IN
14725	541	47	which	which	WDT
14725	541	48	I	-PRON-	PRP
14725	541	49	obtained	obtain	VBD
14725	541	50	at	at	IN
14725	541	51	last	last	JJ
14725	541	52	the	the	DT
14725	541	53	desired	desire	VBN
14725	541	54	success	success	NN
14725	541	55	,	,	,
14725	541	56	by	by	IN
14725	541	57	proceeding	proceed	VBG
14725	541	58	as	as	IN
14725	541	59	follows	follow	VBZ
14725	541	60	.	.	.
14725	542	1	[	[	-LRB-
14725	542	2	Illustration	illustration	NN
14725	542	3	]	]	-RRB-
14725	542	4	23	23	CD
14725	542	5	.	.	.
14725	543	1	I	-PRON-	PRP
14725	543	2	considered	consider	VBD
14725	543	3	first	first	RB
14725	543	4	the	the	DT
14725	543	5	effect	effect	NN
14725	543	6	of	of	IN
14725	543	7	waves	wave	NNS
14725	543	8	so	so	RB
14725	543	9	formed	form	VBN
14725	543	10	,	,	,
14725	543	11	as	as	IN
14725	543	12	respects	respect	VBZ
14725	543	13	the	the	DT
14725	543	14	ray	ray	NN
14725	543	15	which	which	WDT
14725	543	16	falls	fall	VBZ
14725	543	17	perpendicularly	perpendicularly	RB
14725	543	18	on	on	IN
14725	543	19	the	the	DT
14725	543	20	flat	flat	JJ
14725	543	21	surface	surface	NN
14725	543	22	of	of	IN
14725	543	23	a	a	DT
14725	543	24	transparent	transparent	JJ
14725	543	25	body	body	NN
14725	543	26	in	in	IN
14725	543	27	which	which	WDT
14725	543	28	they	-PRON-	PRP
14725	543	29	should	should	MD
14725	543	30	spread	spread	VB
14725	543	31	in	in	IN
14725	543	32	this	this	DT
14725	543	33	manner	manner	NN
14725	543	34	.	.	.
14725	544	1	I	-PRON-	PRP
14725	544	2	took	take	VBD
14725	544	3	AB	AB	NNP
14725	544	4	for	for	IN
14725	544	5	the	the	DT
14725	544	6	exposed	expose	VBN
14725	544	7	region	region	NN
14725	544	8	of	of	IN
14725	544	9	the	the	DT
14725	544	10	surface	surface	NN
14725	544	11	.	.	.
14725	545	1	And	and	CC
14725	545	2	,	,	,
14725	545	3	since	since	IN
14725	545	4	a	a	DT
14725	545	5	ray	ray	NN
14725	545	6	perpendicular	perpendicular	JJ
14725	545	7	to	to	IN
14725	545	8	a	a	DT
14725	545	9	plane	plane	NN
14725	545	10	,	,	,
14725	545	11	and	and	CC
14725	545	12	coming	come	VBG
14725	545	13	from	from	IN
14725	545	14	a	a	DT
14725	545	15	very	very	RB
14725	545	16	distant	distant	JJ
14725	545	17	source	source	NN
14725	545	18	of	of	IN
14725	545	19	light	light	NN
14725	545	20	,	,	,
14725	545	21	is	be	VBZ
14725	545	22	nothing	nothing	NN
14725	545	23	else	else	RB
14725	545	24	,	,	,
14725	545	25	according	accord	VBG
14725	545	26	to	to	IN
14725	545	27	the	the	DT
14725	545	28	precedent	precedent	NN
14725	545	29	Theory	Theory	NNP
14725	545	30	,	,	,
14725	545	31	than	than	IN
14725	545	32	the	the	DT
14725	545	33	incidence	incidence	NN
14725	545	34	of	of	IN
14725	545	35	a	a	DT
14725	545	36	portion	portion	NN
14725	545	37	of	of	IN
14725	545	38	the	the	DT
14725	545	39	wave	wave	NN
14725	545	40	parallel	parallel	NN
14725	545	41	to	to	IN
14725	545	42	that	that	DT
14725	545	43	plane	plane	NN
14725	545	44	,	,	,
14725	545	45	I	-PRON-	PRP
14725	545	46	supposed	suppose	VBD
14725	545	47	the	the	DT
14725	545	48	straight	straight	JJ
14725	545	49	line	line	NN
14725	545	50	RC	rc	NN
14725	545	51	,	,	,
14725	545	52	parallel	parallel	NNS
14725	545	53	and	and	CC
14725	545	54	equal	equal	JJ
14725	545	55	to	to	IN
14725	545	56	AB	AB	NNP
14725	545	57	,	,	,
14725	545	58	to	to	TO
14725	545	59	be	be	VB
14725	545	60	a	a	DT
14725	545	61	portion	portion	NN
14725	545	62	of	of	IN
14725	545	63	a	a	DT
14725	545	64	wave	wave	NN
14725	545	65	of	of	IN
14725	545	66	light	light	NN
14725	545	67	,	,	,
14725	545	68	in	in	IN
14725	545	69	which	which	WDT
14725	545	70	an	an	DT
14725	545	71	infinitude	infinitude	NN
14725	545	72	of	of	IN
14725	545	73	points	point	NNS
14725	545	74	such	such	JJ
14725	545	75	as	as	IN
14725	545	76	RH_h_C	RH_h_C	NNP
14725	545	77	come	come	VBP
14725	545	78	to	to	TO
14725	545	79	meet	meet	VB
14725	545	80	the	the	DT
14725	545	81	surface	surface	NN
14725	545	82	AB	AB	NNP
14725	545	83	at	at	IN
14725	545	84	the	the	DT
14725	545	85	points	point	NNS
14725	545	86	AK_k_B.	AK_k_B.	NNP
14725	546	1	Then	then	RB
14725	546	2	instead	instead	RB
14725	546	3	of	of	IN
14725	546	4	the	the	DT
14725	546	5	hemispherical	hemispherical	JJ
14725	546	6	partial	partial	JJ
14725	546	7	waves	wave	NNS
14725	546	8	which	which	WDT
14725	546	9	in	in	IN
14725	546	10	a	a	DT
14725	546	11	body	body	NN
14725	546	12	of	of	IN
14725	546	13	ordinary	ordinary	JJ
14725	546	14	refraction	refraction	NN
14725	546	15	would	would	MD
14725	546	16	spread	spread	VB
14725	546	17	from	from	IN
14725	546	18	each	each	DT
14725	546	19	of	of	IN
14725	546	20	these	these	DT
14725	546	21	last	last	JJ
14725	546	22	points	point	NNS
14725	546	23	,	,	,
14725	546	24	as	as	IN
14725	546	25	we	-PRON-	PRP
14725	546	26	have	have	VBP
14725	546	27	above	above	RB
14725	546	28	explained	explain	VBN
14725	546	29	in	in	IN
14725	546	30	treating	treating	NN
14725	546	31	of	of	IN
14725	546	32	refraction	refraction	NN
14725	546	33	,	,	,
14725	546	34	these	these	DT
14725	546	35	must	must	MD
14725	546	36	here	here	RB
14725	546	37	be	be	VB
14725	546	38	hemi	hemi	NNP
14725	546	39	-	-	HYPH
14725	546	40	spheroids	spheroid	NNS
14725	546	41	.	.	.
14725	547	1	The	the	DT
14725	547	2	axes	axis	NNS
14725	547	3	(	(	-LRB-
14725	547	4	or	or	CC
14725	547	5	rather	rather	RB
14725	547	6	the	the	DT
14725	547	7	major	major	JJ
14725	547	8	diameters	diameter	NNS
14725	547	9	)	)	-RRB-
14725	547	10	of	of	IN
14725	547	11	these	these	DT
14725	547	12	I	-PRON-	PRP
14725	547	13	supposed	suppose	VBD
14725	547	14	to	to	TO
14725	547	15	be	be	VB
14725	547	16	oblique	oblique	JJ
14725	547	17	to	to	IN
14725	547	18	the	the	DT
14725	547	19	plane	plane	NN
14725	547	20	AB	ab	NN
14725	547	21	,	,	,
14725	547	22	as	as	IN
14725	547	23	is	be	VBZ
14725	547	24	AV	AV	NNP
14725	547	25	the	the	DT
14725	547	26	semi	semi	JJ
14725	547	27	-	-	JJ
14725	547	28	axis	axis	JJ
14725	547	29	or	or	CC
14725	547	30	semi	semi	JJ
14725	547	31	-	-	JJ
14725	547	32	major	major	JJ
14725	547	33	diameter	diameter	NN
14725	547	34	of	of	IN
14725	547	35	the	the	DT
14725	547	36	spheroid	spheroid	JJ
14725	547	37	SVT	SVT	NNP
14725	547	38	,	,	,
14725	547	39	which	which	WDT
14725	547	40	represents	represent	VBZ
14725	547	41	the	the	DT
14725	547	42	partial	partial	JJ
14725	547	43	wave	wave	NN
14725	547	44	coming	come	VBG
14725	547	45	from	from	IN
14725	547	46	the	the	DT
14725	547	47	point	point	NN
14725	547	48	A	A	NNP
14725	547	49	,	,	,
14725	547	50	after	after	IN
14725	547	51	the	the	DT
14725	547	52	wave	wave	NN
14725	547	53	RC	RC	NNP
14725	547	54	has	have	VBZ
14725	547	55	reached	reach	VBN
14725	547	56	AB	AB	NNP
14725	547	57	.	.	.
14725	548	1	I	-PRON-	PRP
14725	548	2	say	say	VBP
14725	548	3	axis	axis	JJ
14725	548	4	or	or	CC
14725	548	5	major	major	JJ
14725	548	6	diameter	diameter	NN
14725	548	7	,	,	,
14725	548	8	because	because	IN
14725	548	9	the	the	DT
14725	548	10	same	same	JJ
14725	548	11	ellipse	ellipse	NN
14725	548	12	SVT	SVT	NNP
14725	548	13	may	may	MD
14725	548	14	be	be	VB
14725	548	15	considered	consider	VBN
14725	548	16	as	as	IN
14725	548	17	the	the	DT
14725	548	18	section	section	NN
14725	548	19	of	of	IN
14725	548	20	a	a	DT
14725	548	21	spheroid	spheroid	NN
14725	548	22	of	of	IN
14725	548	23	which	which	WDT
14725	548	24	the	the	DT
14725	548	25	axis	axi	NNS
14725	548	26	is	be	VBZ
14725	548	27	AZ	AZ	NNP
14725	548	28	perpendicular	perpendicular	JJ
14725	548	29	to	to	IN
14725	548	30	AV	AV	NNP
14725	548	31	.	.	.
14725	549	1	But	but	CC
14725	549	2	,	,	,
14725	549	3	for	for	IN
14725	549	4	the	the	DT
14725	549	5	present	present	NN
14725	549	6	,	,	,
14725	549	7	without	without	IN
14725	549	8	yet	yet	RB
14725	549	9	deciding	decide	VBG
14725	549	10	one	one	CD
14725	549	11	or	or	CC
14725	549	12	other	other	JJ
14725	549	13	,	,	,
14725	549	14	we	-PRON-	PRP
14725	549	15	will	will	MD
14725	549	16	consider	consider	VB
14725	549	17	these	these	DT
14725	549	18	spheroids	spheroid	NNS
14725	549	19	only	only	RB
14725	549	20	in	in	IN
14725	549	21	those	those	DT
14725	549	22	sections	section	NNS
14725	549	23	of	of	IN
14725	549	24	them	-PRON-	PRP
14725	549	25	which	which	WDT
14725	549	26	make	make	VBP
14725	549	27	ellipses	ellipsis	NNS
14725	549	28	in	in	IN
14725	549	29	the	the	DT
14725	549	30	plane	plane	NN
14725	549	31	of	of	IN
14725	549	32	this	this	DT
14725	549	33	figure	figure	NN
14725	549	34	.	.	.
14725	550	1	Now	now	RB
14725	550	2	taking	take	VBG
14725	550	3	a	a	DT
14725	550	4	certain	certain	JJ
14725	550	5	space	space	NN
14725	550	6	of	of	IN
14725	550	7	time	time	NN
14725	550	8	during	during	IN
14725	550	9	which	which	WDT
14725	550	10	the	the	DT
14725	550	11	wave	wave	NN
14725	550	12	SVT	SVT	NNP
14725	550	13	has	have	VBZ
14725	550	14	spread	spread	VBN
14725	550	15	from	from	IN
14725	550	16	A	a	DT
14725	550	17	,	,	,
14725	550	18	it	-PRON-	PRP
14725	550	19	would	would	MD
14725	550	20	needs	needs	VB
14725	550	21	be	be	VB
14725	550	22	that	that	IN
14725	550	23	from	from	IN
14725	550	24	all	all	PDT
14725	550	25	the	the	DT
14725	550	26	other	other	JJ
14725	550	27	points	point	NNS
14725	550	28	K_k_B	k_k_b	VBP
14725	550	29	there	there	EX
14725	550	30	should	should	MD
14725	550	31	proceed	proceed	VB
14725	550	32	,	,	,
14725	550	33	in	in	IN
14725	550	34	the	the	DT
14725	550	35	same	same	JJ
14725	550	36	time	time	NN
14725	550	37	,	,	,
14725	550	38	waves	wave	NNS
14725	550	39	similar	similar	JJ
14725	550	40	to	to	IN
14725	550	41	SVT	SVT	NNP
14725	550	42	and	and	CC
14725	550	43	similarly	similarly	RB
14725	550	44	situated	situate	VBN
14725	550	45	.	.	.
14725	551	1	And	and	CC
14725	551	2	the	the	DT
14725	551	3	common	common	JJ
14725	551	4	tangent	tangent	NN
14725	551	5	NQ	NQ	NNP
14725	551	6	of	of	IN
14725	551	7	all	all	PDT
14725	551	8	these	these	DT
14725	551	9	semi	semi	JJ
14725	551	10	-	-	NNS
14725	551	11	ellipses	ellipsis	NNS
14725	551	12	would	would	MD
14725	551	13	be	be	VB
14725	551	14	the	the	DT
14725	551	15	propagation	propagation	NN
14725	551	16	of	of	IN
14725	551	17	the	the	DT
14725	551	18	wave	wave	NN
14725	551	19	RC	RC	NNP
14725	551	20	which	which	WDT
14725	551	21	fell	fall	VBD
14725	551	22	on	on	IN
14725	551	23	AB	AB	NNP
14725	551	24	,	,	,
14725	551	25	and	and	CC
14725	551	26	would	would	MD
14725	551	27	be	be	VB
14725	551	28	the	the	DT
14725	551	29	place	place	NN
14725	551	30	where	where	WRB
14725	551	31	this	this	DT
14725	551	32	movement	movement	NN
14725	551	33	occurs	occur	VBZ
14725	551	34	in	in	RB
14725	551	35	much	much	RB
14725	551	36	greater	great	JJR
14725	551	37	amount	amount	NN
14725	551	38	than	than	IN
14725	551	39	anywhere	anywhere	RB
14725	551	40	else	else	RB
14725	551	41	,	,	,
14725	551	42	being	be	VBG
14725	551	43	made	make	VBN
14725	551	44	up	up	RP
14725	551	45	of	of	IN
14725	551	46	arcs	arc	NNS
14725	551	47	of	of	IN
14725	551	48	an	an	DT
14725	551	49	infinity	infinity	NN
14725	551	50	of	of	IN
14725	551	51	ellipses	ellipsis	NNS
14725	551	52	,	,	,
14725	551	53	the	the	DT
14725	551	54	centres	centre	NNS
14725	551	55	of	of	IN
14725	551	56	which	which	WDT
14725	551	57	are	be	VBP
14725	551	58	along	along	IN
14725	551	59	the	the	DT
14725	551	60	line	line	NN
14725	551	61	AB	ab	NN
14725	551	62	.	.	.
14725	552	1	24	24	CD
14725	552	2	.	.	.
14725	553	1	Now	now	RB
14725	553	2	it	-PRON-	PRP
14725	553	3	appeared	appear	VBD
14725	553	4	that	that	IN
14725	553	5	this	this	DT
14725	553	6	common	common	JJ
14725	553	7	tangent	tangent	NN
14725	553	8	NQ	NQ	NNP
14725	553	9	was	be	VBD
14725	553	10	parallel	parallel	NN
14725	553	11	to	to	IN
14725	553	12	AB	AB	NNP
14725	553	13	,	,	,
14725	553	14	and	and	CC
14725	553	15	of	of	IN
14725	553	16	the	the	DT
14725	553	17	same	same	JJ
14725	553	18	length	length	NN
14725	553	19	,	,	,
14725	553	20	but	but	CC
14725	553	21	that	that	IN
14725	553	22	it	-PRON-	PRP
14725	553	23	was	be	VBD
14725	553	24	not	not	RB
14725	553	25	directly	directly	RB
14725	553	26	opposite	opposite	JJ
14725	553	27	to	to	IN
14725	553	28	it	-PRON-	PRP
14725	553	29	,	,	,
14725	553	30	since	since	IN
14725	553	31	it	-PRON-	PRP
14725	553	32	was	be	VBD
14725	553	33	comprised	comprise	VBN
14725	553	34	between	between	IN
14725	553	35	the	the	DT
14725	553	36	lines	line	NNS
14725	553	37	AN	AN	NNP
14725	553	38	,	,	,
14725	553	39	BQ	BQ	NNP
14725	553	40	,	,	,
14725	553	41	which	which	WDT
14725	553	42	are	be	VBP
14725	553	43	diameters	diameter	NNS
14725	553	44	of	of	IN
14725	553	45	ellipses	ellipsis	NNS
14725	553	46	having	have	VBG
14725	553	47	A	a	NN
14725	553	48	and	and	CC
14725	553	49	B	b	NN
14725	553	50	for	for	IN
14725	553	51	centres	centre	NNS
14725	553	52	,	,	,
14725	553	53	conjugate	conjugate	VBP
14725	553	54	with	with	IN
14725	553	55	respect	respect	NN
14725	553	56	to	to	IN
14725	553	57	diameters	diameter	NNS
14725	553	58	which	which	WDT
14725	553	59	are	be	VBP
14725	553	60	not	not	RB
14725	553	61	in	in	IN
14725	553	62	the	the	DT
14725	553	63	straight	straight	JJ
14725	553	64	line	line	NN
14725	553	65	AB	ab	NN
14725	553	66	.	.	.
14725	554	1	And	and	CC
14725	554	2	in	in	IN
14725	554	3	this	this	DT
14725	554	4	way	way	NN
14725	554	5	I	-PRON-	PRP
14725	554	6	comprehended	comprehend	VBD
14725	554	7	,	,	,
14725	554	8	a	a	DT
14725	554	9	matter	matter	NN
14725	554	10	which	which	WDT
14725	554	11	had	have	VBD
14725	554	12	seemed	seem	VBN
14725	554	13	to	to	IN
14725	554	14	me	-PRON-	PRP
14725	554	15	very	very	RB
14725	554	16	difficult	difficult	JJ
14725	554	17	,	,	,
14725	554	18	how	how	WRB
14725	554	19	a	a	DT
14725	554	20	ray	ray	NN
14725	554	21	perpendicular	perpendicular	JJ
14725	554	22	to	to	IN
14725	554	23	a	a	DT
14725	554	24	surface	surface	NN
14725	554	25	could	could	MD
14725	554	26	suffer	suffer	VB
14725	554	27	refraction	refraction	NN
14725	554	28	on	on	IN
14725	554	29	entering	enter	VBG
14725	554	30	a	a	DT
14725	554	31	transparent	transparent	JJ
14725	554	32	body	body	NN
14725	554	33	;	;	:
14725	554	34	seeing	see	VBG
14725	554	35	that	that	IN
14725	554	36	the	the	DT
14725	554	37	wave	wave	NN
14725	554	38	RC	rc	NN
14725	554	39	,	,	,
14725	554	40	having	have	VBG
14725	554	41	come	come	VBN
14725	554	42	to	to	IN
14725	554	43	the	the	DT
14725	554	44	aperture	aperture	JJ
14725	554	45	AB	AB	NNP
14725	554	46	,	,	,
14725	554	47	went	go	VBD
14725	554	48	on	on	RP
14725	554	49	forward	forward	RB
14725	554	50	thence	thence	NN
14725	554	51	,	,	,
14725	554	52	spreading	spread	VBG
14725	554	53	between	between	IN
14725	554	54	the	the	DT
14725	554	55	parallel	parallel	JJ
14725	554	56	lines	line	NNS
14725	554	57	AN	AN	NNP
14725	554	58	,	,	,
14725	554	59	BQ	BQ	NNP
14725	554	60	,	,	,
14725	554	61	yet	yet	CC
14725	554	62	itself	-PRON-	PRP
14725	554	63	remaining	remain	VBG
14725	554	64	always	always	RB
14725	554	65	parallel	parallel	JJ
14725	554	66	to	to	IN
14725	554	67	AB	AB	NNP
14725	554	68	,	,	,
14725	554	69	so	so	IN
14725	554	70	that	that	IN
14725	554	71	here	here	RB
14725	554	72	the	the	DT
14725	554	73	light	light	NN
14725	554	74	does	do	VBZ
14725	554	75	not	not	RB
14725	554	76	spread	spread	VB
14725	554	77	along	along	IN
14725	554	78	lines	line	NNS
14725	554	79	perpendicular	perpendicular	JJ
14725	554	80	to	to	IN
14725	554	81	its	-PRON-	PRP$
14725	554	82	waves	wave	NNS
14725	554	83	,	,	,
14725	554	84	as	as	IN
14725	554	85	in	in	IN
14725	554	86	ordinary	ordinary	JJ
14725	554	87	refraction	refraction	NN
14725	554	88	,	,	,
14725	554	89	but	but	CC
14725	554	90	along	along	IN
14725	554	91	lines	line	NNS
14725	554	92	cutting	cut	VBG
14725	554	93	the	the	DT
14725	554	94	waves	wave	NNS
14725	554	95	obliquely	obliquely	RB
14725	554	96	.	.	.
14725	555	1	[	[	-LRB-
14725	555	2	Illustration	illustration	NN
14725	555	3	]	]	-RRB-
14725	555	4	25	25	CD
14725	555	5	.	.	.
14725	556	1	Inquiring	inquire	VBG
14725	556	2	subsequently	subsequently	RB
14725	556	3	what	what	WP
14725	556	4	might	may	MD
14725	556	5	be	be	VB
14725	556	6	the	the	DT
14725	556	7	position	position	NN
14725	556	8	and	and	CC
14725	556	9	form	form	NN
14725	556	10	of	of	IN
14725	556	11	these	these	DT
14725	556	12	spheroids	spheroid	NNS
14725	556	13	in	in	IN
14725	556	14	the	the	DT
14725	556	15	crystal	crystal	NN
14725	556	16	,	,	,
14725	556	17	I	-PRON-	PRP
14725	556	18	considered	consider	VBD
14725	556	19	that	that	IN
14725	556	20	all	all	PDT
14725	556	21	the	the	DT
14725	556	22	six	six	CD
14725	556	23	faces	face	NNS
14725	556	24	produced	produce	VBD
14725	556	25	precisely	precisely	RB
14725	556	26	the	the	DT
14725	556	27	same	same	JJ
14725	556	28	refractions	refraction	NNS
14725	556	29	.	.	.
14725	557	1	Taking	take	VBG
14725	557	2	,	,	,
14725	557	3	then	then	RB
14725	557	4	,	,	,
14725	557	5	the	the	DT
14725	557	6	parallelopiped	parallelopipe	VBN
14725	557	7	AFB	AFB	NNP
14725	557	8	,	,	,
14725	557	9	of	of	IN
14725	557	10	which	which	WDT
14725	557	11	the	the	DT
14725	557	12	obtuse	obtuse	JJ
14725	557	13	solid	solid	JJ
14725	557	14	angle	angle	NN
14725	557	15	C	C	NNP
14725	557	16	is	be	VBZ
14725	557	17	contained	contain	VBN
14725	557	18	between	between	IN
14725	557	19	the	the	DT
14725	557	20	three	three	CD
14725	557	21	equal	equal	JJ
14725	557	22	plane	plane	NN
14725	557	23	angles	angle	NNS
14725	557	24	,	,	,
14725	557	25	and	and	CC
14725	557	26	imagining	imagine	VBG
14725	557	27	in	in	IN
14725	557	28	it	-PRON-	PRP
14725	557	29	the	the	DT
14725	557	30	three	three	CD
14725	557	31	principal	principal	JJ
14725	557	32	sections	section	NNS
14725	557	33	,	,	,
14725	557	34	one	one	CD
14725	557	35	of	of	IN
14725	557	36	which	which	WDT
14725	557	37	is	be	VBZ
14725	557	38	perpendicular	perpendicular	JJ
14725	557	39	to	to	IN
14725	557	40	the	the	DT
14725	557	41	face	face	NN
14725	557	42	DC	DC	NNP
14725	557	43	and	and	CC
14725	557	44	passes	pass	VBZ
14725	557	45	through	through	IN
14725	557	46	the	the	DT
14725	557	47	edge	edge	NN
14725	557	48	CF	cf	NN
14725	557	49	,	,	,
14725	557	50	another	another	DT
14725	557	51	perpendicular	perpendicular	NN
14725	557	52	to	to	IN
14725	557	53	the	the	DT
14725	557	54	face	face	NN
14725	557	55	BF	BF	NNP
14725	557	56	passing	pass	VBG
14725	557	57	through	through	IN
14725	557	58	the	the	DT
14725	557	59	edge	edge	NN
14725	557	60	CA	CA	NNP
14725	557	61	,	,	,
14725	557	62	and	and	CC
14725	557	63	the	the	DT
14725	557	64	third	third	JJ
14725	557	65	perpendicular	perpendicular	NN
14725	557	66	to	to	IN
14725	557	67	the	the	DT
14725	557	68	face	face	NN
14725	557	69	AF	AF	NNP
14725	557	70	passing	pass	VBG
14725	557	71	through	through	IN
14725	557	72	the	the	DT
14725	557	73	edge	edge	NN
14725	557	74	BC	BC	NNP
14725	557	75	;	;	:
14725	557	76	I	-PRON-	PRP
14725	557	77	knew	know	VBD
14725	557	78	that	that	IN
14725	557	79	the	the	DT
14725	557	80	refractions	refraction	NNS
14725	557	81	of	of	IN
14725	557	82	the	the	DT
14725	557	83	incident	incident	NN
14725	557	84	rays	ray	NNS
14725	557	85	belonging	belong	VBG
14725	557	86	to	to	IN
14725	557	87	these	these	DT
14725	557	88	three	three	CD
14725	557	89	planes	plane	NNS
14725	557	90	were	be	VBD
14725	557	91	all	all	RB
14725	557	92	similar	similar	JJ
14725	557	93	.	.	.
14725	558	1	But	but	CC
14725	558	2	there	there	EX
14725	558	3	could	could	MD
14725	558	4	be	be	VB
14725	558	5	no	no	DT
14725	558	6	position	position	NN
14725	558	7	of	of	IN
14725	558	8	the	the	DT
14725	558	9	spheroid	spheroid	NN
14725	558	10	which	which	WDT
14725	558	11	would	would	MD
14725	558	12	have	have	VB
14725	558	13	the	the	DT
14725	558	14	same	same	JJ
14725	558	15	relation	relation	NN
14725	558	16	to	to	IN
14725	558	17	these	these	DT
14725	558	18	three	three	CD
14725	558	19	sections	section	NNS
14725	558	20	except	except	IN
14725	558	21	that	that	IN
14725	558	22	in	in	IN
14725	558	23	which	which	WDT
14725	558	24	the	the	DT
14725	558	25	axis	axi	NNS
14725	558	26	was	be	VBD
14725	558	27	also	also	RB
14725	558	28	the	the	DT
14725	558	29	axis	axi	NNS
14725	558	30	of	of	IN
14725	558	31	the	the	DT
14725	558	32	solid	solid	JJ
14725	558	33	angle	angle	NN
14725	558	34	C.	C.	NNP
14725	558	35	Consequently	consequently	RB
14725	558	36	I	-PRON-	PRP
14725	558	37	saw	see	VBD
14725	558	38	that	that	IN
14725	558	39	the	the	DT
14725	558	40	axis	axi	NNS
14725	558	41	of	of	IN
14725	558	42	this	this	DT
14725	558	43	angle	angle	NN
14725	558	44	,	,	,
14725	558	45	that	that	DT
14725	558	46	is	be	VBZ
14725	558	47	to	to	TO
14725	558	48	say	say	VB
14725	558	49	the	the	DT
14725	558	50	straight	straight	JJ
14725	558	51	line	line	NN
14725	558	52	which	which	WDT
14725	558	53	traversed	traverse	VBD
14725	558	54	the	the	DT
14725	558	55	crystal	crystal	NN
14725	558	56	from	from	IN
14725	558	57	the	the	DT
14725	558	58	point	point	NN
14725	558	59	C	c	NN
14725	558	60	with	with	IN
14725	558	61	equal	equal	JJ
14725	558	62	inclination	inclination	NN
14725	558	63	to	to	IN
14725	558	64	the	the	DT
14725	558	65	edges	edge	NNS
14725	558	66	CF	CF	NNP
14725	558	67	,	,	,
14725	558	68	CA	CA	NNP
14725	558	69	,	,	,
14725	558	70	CB	CB	NNP
14725	558	71	was	be	VBD
14725	558	72	the	the	DT
14725	558	73	line	line	NN
14725	558	74	which	which	WDT
14725	558	75	determined	determine	VBD
14725	558	76	the	the	DT
14725	558	77	position	position	NN
14725	558	78	of	of	IN
14725	558	79	the	the	DT
14725	558	80	axis	axi	NNS
14725	558	81	of	of	IN
14725	558	82	all	all	PDT
14725	558	83	the	the	DT
14725	558	84	spheroidal	spheroidal	JJ
14725	558	85	waves	wave	NNS
14725	558	86	which	which	WDT
14725	558	87	one	one	NN
14725	558	88	imagined	imagine	VBD
14725	558	89	to	to	TO
14725	558	90	originate	originate	VB
14725	558	91	from	from	IN
14725	558	92	some	some	DT
14725	558	93	point	point	NN
14725	558	94	,	,	,
14725	558	95	taken	take	VBN
14725	558	96	within	within	IN
14725	558	97	or	or	CC
14725	558	98	on	on	IN
14725	558	99	the	the	DT
14725	558	100	surface	surface	NN
14725	558	101	of	of	IN
14725	558	102	the	the	DT
14725	558	103	crystal	crystal	NN
14725	558	104	,	,	,
14725	558	105	since	since	IN
14725	558	106	all	all	PDT
14725	558	107	these	these	DT
14725	558	108	spheroids	spheroid	NNS
14725	558	109	ought	ought	MD
14725	558	110	to	to	TO
14725	558	111	be	be	VB
14725	558	112	alike	alike	RB
14725	558	113	,	,	,
14725	558	114	and	and	CC
14725	558	115	have	have	VBP
14725	558	116	their	-PRON-	PRP$
14725	558	117	axes	axis	NNS
14725	558	118	parallel	parallel	NN
14725	558	119	to	to	IN
14725	558	120	one	one	CD
14725	558	121	another	another	DT
14725	558	122	.	.	.
14725	559	1	26	26	CD
14725	559	2	.	.	.
14725	560	1	Considering	consider	VBG
14725	560	2	after	after	IN
14725	560	3	this	this	DT
14725	560	4	the	the	DT
14725	560	5	plane	plane	NN
14725	560	6	of	of	IN
14725	560	7	one	one	CD
14725	560	8	of	of	IN
14725	560	9	these	these	DT
14725	560	10	three	three	CD
14725	560	11	sections	section	NNS
14725	560	12	,	,	,
14725	560	13	namely	namely	RB
14725	560	14	that	that	IN
14725	560	15	through	through	IN
14725	560	16	GCF	GCF	NNP
14725	560	17	,	,	,
14725	560	18	the	the	DT
14725	560	19	angle	angle	NN
14725	560	20	of	of	IN
14725	560	21	which	which	WDT
14725	560	22	is	be	VBZ
14725	560	23	109	109	CD
14725	560	24	degrees	degree	NNS
14725	560	25	3	3	CD
14725	560	26	minutes	minute	NNS
14725	560	27	,	,	,
14725	560	28	since	since	IN
14725	560	29	the	the	DT
14725	560	30	angle	angle	NN
14725	560	31	F	F	NNP
14725	560	32	was	be	VBD
14725	560	33	shown	show	VBN
14725	560	34	above	above	RB
14725	560	35	to	to	TO
14725	560	36	be	be	VB
14725	560	37	70	70	CD
14725	560	38	degrees	degree	NNS
14725	560	39	57	57	CD
14725	560	40	minutes	minute	NNS
14725	560	41	;	;	:
14725	560	42	and	and	CC
14725	560	43	,	,	,
14725	560	44	imagining	imagine	VBG
14725	560	45	a	a	DT
14725	560	46	spheroidal	spheroidal	JJ
14725	560	47	wave	wave	NN
14725	560	48	about	about	IN
14725	560	49	the	the	DT
14725	560	50	centre	centre	NN
14725	560	51	C	C	NNP
14725	560	52	,	,	,
14725	560	53	I	-PRON-	PRP
14725	560	54	knew	know	VBD
14725	560	55	,	,	,
14725	560	56	because	because	IN
14725	560	57	I	-PRON-	PRP
14725	560	58	have	have	VBP
14725	560	59	just	just	RB
14725	560	60	explained	explain	VBN
14725	560	61	it	-PRON-	PRP
14725	560	62	,	,	,
14725	560	63	that	that	IN
14725	560	64	its	-PRON-	PRP$
14725	560	65	axis	axi	NNS
14725	560	66	must	must	MD
14725	560	67	be	be	VB
14725	560	68	in	in	IN
14725	560	69	the	the	DT
14725	560	70	same	same	JJ
14725	560	71	plane	plane	NN
14725	560	72	,	,	,
14725	560	73	the	the	DT
14725	560	74	half	half	NN
14725	560	75	of	of	IN
14725	560	76	which	which	WDT
14725	560	77	axis	axis	RB
14725	560	78	I	-PRON-	PRP
14725	560	79	have	have	VBP
14725	560	80	marked	mark	VBN
14725	560	81	CS	CS	NNP
14725	560	82	in	in	IN
14725	560	83	the	the	DT
14725	560	84	next	next	JJ
14725	560	85	figure	figure	NN
14725	560	86	:	:	:
14725	560	87	and	and	CC
14725	560	88	seeking	seek	VBG
14725	560	89	by	by	IN
14725	560	90	calculation	calculation	NN
14725	560	91	(	(	-LRB-
14725	560	92	which	which	WDT
14725	560	93	will	will	MD
14725	560	94	be	be	VB
14725	560	95	given	give	VBN
14725	560	96	with	with	IN
14725	560	97	others	other	NNS
14725	560	98	at	at	IN
14725	560	99	the	the	DT
14725	560	100	end	end	NN
14725	560	101	of	of	IN
14725	560	102	this	this	DT
14725	560	103	discourse	discourse	NN
14725	560	104	)	)	-RRB-
14725	560	105	the	the	DT
14725	560	106	value	value	NN
14725	560	107	of	of	IN
14725	560	108	the	the	DT
14725	560	109	angle	angle	NN
14725	560	110	CGS	CGS	NNP
14725	560	111	,	,	,
14725	560	112	I	-PRON-	PRP
14725	560	113	found	find	VBD
14725	560	114	it	-PRON-	PRP
14725	560	115	45	45	CD
14725	560	116	degrees	degree	NNS
14725	560	117	20	20	CD
14725	560	118	minutes	minute	NNS
14725	560	119	.	.	.
14725	561	1	[	[	-LRB-
14725	561	2	Illustration	illustration	NN
14725	561	3	]	]	-RRB-
14725	561	4	27	27	CD
14725	561	5	.	.	.
14725	562	1	To	to	TO
14725	562	2	know	know	VB
14725	562	3	from	from	IN
14725	562	4	this	this	DT
14725	562	5	the	the	DT
14725	562	6	form	form	NN
14725	562	7	of	of	IN
14725	562	8	this	this	DT
14725	562	9	spheroid	spheroid	NN
14725	562	10	,	,	,
14725	562	11	that	that	DT
14725	562	12	is	be	VBZ
14725	562	13	to	to	TO
14725	562	14	say	say	VB
14725	562	15	the	the	DT
14725	562	16	proportion	proportion	NN
14725	562	17	of	of	IN
14725	562	18	the	the	DT
14725	562	19	semi	semi	JJ
14725	562	20	-	-	JJ
14725	562	21	diameters	diameter	NNS
14725	562	22	CS	CS	NNP
14725	562	23	,	,	,
14725	562	24	CP	CP	NNP
14725	562	25	,	,	,
14725	562	26	of	of	IN
14725	562	27	its	-PRON-	PRP$
14725	562	28	elliptical	elliptical	JJ
14725	562	29	section	section	NN
14725	562	30	,	,	,
14725	562	31	which	which	WDT
14725	562	32	are	be	VBP
14725	562	33	perpendicular	perpendicular	JJ
14725	562	34	to	to	IN
14725	562	35	one	one	CD
14725	562	36	another	another	DT
14725	562	37	,	,	,
14725	562	38	I	-PRON-	PRP
14725	562	39	considered	consider	VBD
14725	562	40	that	that	IN
14725	562	41	the	the	DT
14725	562	42	point	point	NN
14725	562	43	M	m	NN
14725	562	44	where	where	WRB
14725	562	45	the	the	DT
14725	562	46	ellipse	ellipse	NN
14725	562	47	is	be	VBZ
14725	562	48	touched	touch	VBN
14725	562	49	by	by	IN
14725	562	50	the	the	DT
14725	562	51	straight	straight	JJ
14725	562	52	line	line	NN
14725	562	53	FH	fh	NN
14725	562	54	,	,	,
14725	562	55	parallel	parallel	JJ
14725	562	56	to	to	IN
14725	562	57	CG	CG	NNP
14725	562	58	,	,	,
14725	562	59	ought	ought	MD
14725	562	60	to	to	TO
14725	562	61	be	be	VB
14725	562	62	so	so	RB
14725	562	63	situated	situated	JJ
14725	562	64	that	that	IN
14725	562	65	CM	CM	NNP
14725	562	66	makes	make	VBZ
14725	562	67	with	with	IN
14725	562	68	the	the	DT
14725	562	69	perpendicular	perpendicular	JJ
14725	562	70	CL	CL	NNP
14725	562	71	an	an	DT
14725	562	72	angle	angle	NN
14725	562	73	of	of	IN
14725	562	74	6	6	CD
14725	562	75	degrees	degree	NNS
14725	562	76	40	40	CD
14725	562	77	minutes	minute	NNS
14725	562	78	;	;	:
14725	562	79	since	since	IN
14725	562	80	,	,	,
14725	562	81	this	this	DT
14725	562	82	being	be	VBG
14725	562	83	so	so	RB
14725	562	84	,	,	,
14725	562	85	this	this	DT
14725	562	86	ellipse	ellipse	NN
14725	562	87	satisfies	satisfie	NNS
14725	562	88	what	what	WP
14725	562	89	has	have	VBZ
14725	562	90	been	be	VBN
14725	562	91	said	say	VBN
14725	562	92	about	about	IN
14725	562	93	the	the	DT
14725	562	94	refraction	refraction	NN
14725	562	95	of	of	IN
14725	562	96	the	the	DT
14725	562	97	ray	ray	NN
14725	562	98	perpendicular	perpendicular	JJ
14725	562	99	to	to	IN
14725	562	100	the	the	DT
14725	562	101	surface	surface	NN
14725	562	102	CG	CG	NNP
14725	562	103	,	,	,
14725	562	104	which	which	WDT
14725	562	105	is	be	VBZ
14725	562	106	inclined	inclined	JJ
14725	562	107	to	to	IN
14725	562	108	the	the	DT
14725	562	109	perpendicular	perpendicular	JJ
14725	562	110	CL	CL	NNP
14725	562	111	by	by	IN
14725	562	112	the	the	DT
14725	562	113	same	same	JJ
14725	562	114	angle	angle	NN
14725	562	115	.	.	.
14725	563	1	This	this	DT
14725	563	2	,	,	,
14725	563	3	then	then	RB
14725	563	4	,	,	,
14725	563	5	being	be	VBG
14725	563	6	thus	thus	RB
14725	563	7	disposed	dispose	VBN
14725	563	8	,	,	,
14725	563	9	and	and	CC
14725	563	10	taking	take	VBG
14725	563	11	CM	CM	NNP
14725	563	12	at	at	IN
14725	563	13	100,000	100,000	CD
14725	563	14	parts	part	NNS
14725	563	15	,	,	,
14725	563	16	I	-PRON-	PRP
14725	563	17	found	find	VBD
14725	563	18	by	by	IN
14725	563	19	the	the	DT
14725	563	20	calculation	calculation	NN
14725	563	21	which	which	WDT
14725	563	22	will	will	MD
14725	563	23	be	be	VB
14725	563	24	given	give	VBN
14725	563	25	at	at	IN
14725	563	26	the	the	DT
14725	563	27	end	end	NN
14725	563	28	,	,	,
14725	563	29	the	the	DT
14725	563	30	semi	semi	JJ
14725	563	31	-	-	JJ
14725	563	32	major	major	JJ
14725	563	33	diameter	diameter	NN
14725	563	34	CP	CP	NNP
14725	563	35	to	to	TO
14725	563	36	be	be	VB
14725	563	37	105,032	105,032	CD
14725	563	38	,	,	,
14725	563	39	and	and	CC
14725	563	40	the	the	DT
14725	563	41	semi	semi	JJ
14725	563	42	-	-	JJ
14725	563	43	axis	axis	JJ
14725	563	44	CS	CS	NNP
14725	563	45	to	to	TO
14725	563	46	be	be	VB
14725	563	47	93,410	93,410	CD
14725	563	48	,	,	,
14725	563	49	the	the	DT
14725	563	50	ratio	ratio	NN
14725	563	51	of	of	IN
14725	563	52	which	which	WDT
14725	563	53	numbers	number	NNS
14725	563	54	is	be	VBZ
14725	563	55	very	very	RB
14725	563	56	nearly	nearly	RB
14725	563	57	9	9	CD
14725	563	58	to	to	TO
14725	563	59	8	8	CD
14725	563	60	;	;	:
14725	563	61	so	so	IN
14725	563	62	that	that	IN
14725	563	63	the	the	DT
14725	563	64	spheroid	spheroid	NN
14725	563	65	was	be	VBD
14725	563	66	of	of	IN
14725	563	67	the	the	DT
14725	563	68	kind	kind	NN
14725	563	69	which	which	WDT
14725	563	70	resembles	resemble	VBZ
14725	563	71	a	a	DT
14725	563	72	compressed	compressed	JJ
14725	563	73	sphere	sphere	NN
14725	563	74	,	,	,
14725	563	75	being	be	VBG
14725	563	76	generated	generate	VBN
14725	563	77	by	by	IN
14725	563	78	the	the	DT
14725	563	79	revolution	revolution	NN
14725	563	80	of	of	IN
14725	563	81	an	an	DT
14725	563	82	ellipse	ellipse	NN
14725	563	83	about	about	IN
14725	563	84	its	-PRON-	PRP$
14725	563	85	smaller	small	JJR
14725	563	86	diameter	diameter	NN
14725	563	87	.	.	.
14725	564	1	I	-PRON-	PRP
14725	564	2	found	find	VBD
14725	564	3	also	also	RB
14725	564	4	the	the	DT
14725	564	5	value	value	NN
14725	564	6	of	of	IN
14725	564	7	CG	CG	NNP
14725	564	8	the	the	DT
14725	564	9	semi	semi	JJ
14725	564	10	-	-	JJ
14725	564	11	diameter	diameter	JJ
14725	564	12	parallel	parallel	NN
14725	564	13	to	to	IN
14725	564	14	the	the	DT
14725	564	15	tangent	tangent	NN
14725	564	16	ML	ML	NNP
14725	564	17	to	to	TO
14725	564	18	be	be	VB
14725	564	19	98,779	98,779	CD
14725	564	20	.	.	.
14725	565	1	[	[	-LRB-
14725	565	2	Illustration	illustration	NN
14725	565	3	]	]	-RRB-
14725	565	4	28	28	CD
14725	565	5	.	.	.
14725	566	1	Now	now	RB
14725	566	2	passing	pass	VBG
14725	566	3	to	to	IN
14725	566	4	the	the	DT
14725	566	5	investigation	investigation	NN
14725	566	6	of	of	IN
14725	566	7	the	the	DT
14725	566	8	refractions	refraction	NNS
14725	566	9	which	which	WDT
14725	566	10	obliquely	obliquely	RB
14725	566	11	incident	incident	NN
14725	566	12	rays	ray	NNS
14725	566	13	must	must	MD
14725	566	14	undergo	undergo	VB
14725	566	15	,	,	,
14725	566	16	according	accord	VBG
14725	566	17	to	to	IN
14725	566	18	our	-PRON-	PRP$
14725	566	19	hypothesis	hypothesis	NN
14725	566	20	of	of	IN
14725	566	21	spheroidal	spheroidal	JJ
14725	566	22	waves	wave	NNS
14725	566	23	,	,	,
14725	566	24	I	-PRON-	PRP
14725	566	25	saw	see	VBD
14725	566	26	that	that	IN
14725	566	27	these	these	DT
14725	566	28	refractions	refraction	NNS
14725	566	29	depended	depend	VBD
14725	566	30	on	on	IN
14725	566	31	the	the	DT
14725	566	32	ratio	ratio	NN
14725	566	33	between	between	IN
14725	566	34	the	the	DT
14725	566	35	velocity	velocity	NN
14725	566	36	of	of	IN
14725	566	37	movement	movement	NN
14725	566	38	of	of	IN
14725	566	39	the	the	DT
14725	566	40	light	light	NN
14725	566	41	outside	outside	IN
14725	566	42	the	the	DT
14725	566	43	crystal	crystal	NN
14725	566	44	in	in	IN
14725	566	45	the	the	DT
14725	566	46	ether	ether	NN
14725	566	47	,	,	,
14725	566	48	and	and	CC
14725	566	49	that	that	IN
14725	566	50	within	within	IN
14725	566	51	the	the	DT
14725	566	52	crystal	crystal	NN
14725	566	53	.	.	.
14725	567	1	For	for	IN
14725	567	2	supposing	supposing	NN
14725	567	3	,	,	,
14725	567	4	for	for	IN
14725	567	5	example	example	NN
14725	567	6	,	,	,
14725	567	7	this	this	DT
14725	567	8	proportion	proportion	NN
14725	567	9	to	to	TO
14725	567	10	be	be	VB
14725	567	11	such	such	JJ
14725	567	12	that	that	IN
14725	567	13	while	while	IN
14725	567	14	the	the	DT
14725	567	15	light	light	NN
14725	567	16	in	in	IN
14725	567	17	the	the	DT
14725	567	18	crystal	crystal	NN
14725	567	19	forms	form	NNS
14725	567	20	the	the	DT
14725	567	21	spheroid	spheroid	JJ
14725	567	22	GSP	GSP	NNP
14725	567	23	,	,	,
14725	567	24	as	as	IN
14725	567	25	I	-PRON-	PRP
14725	567	26	have	have	VBP
14725	567	27	just	just	RB
14725	567	28	said	say	VBN
14725	567	29	,	,	,
14725	567	30	it	-PRON-	PRP
14725	567	31	forms	form	VBZ
14725	567	32	outside	outside	IN
14725	567	33	a	a	DT
14725	567	34	sphere	sphere	NN
14725	567	35	the	the	DT
14725	567	36	semi	semi	JJ
14725	567	37	-	-	JJ
14725	567	38	diameter	diameter	NN
14725	567	39	of	of	IN
14725	567	40	which	which	WDT
14725	567	41	is	be	VBZ
14725	567	42	equal	equal	JJ
14725	567	43	to	to	IN
14725	567	44	the	the	DT
14725	567	45	line	line	NN
14725	567	46	N	n	NN
14725	567	47	which	which	WDT
14725	567	48	will	will	MD
14725	567	49	be	be	VB
14725	567	50	determined	determine	VBN
14725	567	51	hereafter	hereafter	RB
14725	567	52	,	,	,
14725	567	53	the	the	DT
14725	567	54	following	follow	VBG
14725	567	55	is	be	VBZ
14725	567	56	the	the	DT
14725	567	57	way	way	NN
14725	567	58	of	of	IN
14725	567	59	finding	find	VBG
14725	567	60	the	the	DT
14725	567	61	refraction	refraction	NN
14725	567	62	of	of	IN
14725	567	63	the	the	DT
14725	567	64	incident	incident	NN
14725	567	65	rays	ray	NNS
14725	567	66	.	.	.
14725	568	1	Let	let	VB
14725	568	2	there	there	EX
14725	568	3	be	be	VB
14725	568	4	such	such	PDT
14725	568	5	a	a	DT
14725	568	6	ray	ray	NN
14725	568	7	RC	rc	NN
14725	568	8	falling	fall	VBG
14725	568	9	upon	upon	IN
14725	568	10	the	the	DT
14725	568	11	surface	surface	NN
14725	568	12	CK	CK	NNP
14725	568	13	.	.	.
14725	569	1	Make	make	VB
14725	569	2	CO	CO	NNP
14725	569	3	perpendicular	perpendicular	JJ
14725	569	4	to	to	IN
14725	569	5	RC	RC	NNP
14725	569	6	,	,	,
14725	569	7	and	and	CC
14725	569	8	across	across	IN
14725	569	9	the	the	DT
14725	569	10	angle	angle	NN
14725	569	11	KCO	KCO	NNP
14725	569	12	adjust	adjust	NN
14725	569	13	OK	ok	RB
14725	569	14	,	,	,
14725	569	15	equal	equal	JJ
14725	569	16	to	to	IN
14725	569	17	N	n	NN
14725	569	18	and	and	CC
14725	569	19	perpendicular	perpendicular	JJ
14725	569	20	to	to	IN
14725	569	21	CO	CO	NNP
14725	569	22	;	;	:
14725	569	23	then	then	RB
14725	569	24	draw	draw	VB
14725	569	25	KI	KI	NNP
14725	569	26	,	,	,
14725	569	27	which	which	WDT
14725	569	28	touches	touch	VBZ
14725	569	29	the	the	DT
14725	569	30	Ellipse	Ellipse	NNP
14725	569	31	GSP	GSP	NNP
14725	569	32	,	,	,
14725	569	33	and	and	CC
14725	569	34	from	from	IN
14725	569	35	the	the	DT
14725	569	36	point	point	NN
14725	569	37	of	of	IN
14725	569	38	contact	contact	NN
14725	569	39	I	-PRON-	PRP
14725	569	40	join	join	VBP
14725	569	41	IC	IC	NNP
14725	569	42	,	,	,
14725	569	43	which	which	WDT
14725	569	44	will	will	MD
14725	569	45	be	be	VB
14725	569	46	the	the	DT
14725	569	47	required	required	JJ
14725	569	48	refraction	refraction	NN
14725	569	49	of	of	IN
14725	569	50	the	the	DT
14725	569	51	ray	ray	NN
14725	569	52	RC	RC	NNP
14725	569	53	.	.	.
14725	570	1	The	the	DT
14725	570	2	demonstration	demonstration	NN
14725	570	3	of	of	IN
14725	570	4	this	this	DT
14725	570	5	is	be	VBZ
14725	570	6	,	,	,
14725	570	7	it	-PRON-	PRP
14725	570	8	will	will	MD
14725	570	9	be	be	VB
14725	570	10	seen	see	VBN
14725	570	11	,	,	,
14725	570	12	entirely	entirely	RB
14725	570	13	similar	similar	JJ
14725	570	14	to	to	IN
14725	570	15	that	that	DT
14725	570	16	of	of	IN
14725	570	17	which	which	WDT
14725	570	18	we	-PRON-	PRP
14725	570	19	made	make	VBD
14725	570	20	use	use	NN
14725	570	21	in	in	IN
14725	570	22	explaining	explain	VBG
14725	570	23	ordinary	ordinary	JJ
14725	570	24	refraction	refraction	NN
14725	570	25	.	.	.
14725	571	1	For	for	IN
14725	571	2	the	the	DT
14725	571	3	refraction	refraction	NN
14725	571	4	of	of	IN
14725	571	5	the	the	DT
14725	571	6	ray	ray	NN
14725	571	7	RC	rc	NN
14725	571	8	is	be	VBZ
14725	571	9	nothing	nothing	NN
14725	571	10	else	else	RB
14725	571	11	than	than	IN
14725	571	12	the	the	DT
14725	571	13	progression	progression	NN
14725	571	14	of	of	IN
14725	571	15	the	the	DT
14725	571	16	portion	portion	NN
14725	571	17	C	c	NN
14725	571	18	of	of	IN
14725	571	19	the	the	DT
14725	571	20	wave	wave	NN
14725	571	21	CO	CO	NNP
14725	571	22	,	,	,
14725	571	23	continued	continue	VBN
14725	571	24	in	in	IN
14725	571	25	the	the	DT
14725	571	26	crystal	crystal	NN
14725	571	27	.	.	.
14725	572	1	Now	now	RB
14725	572	2	the	the	DT
14725	572	3	portions	portion	NNS
14725	572	4	H	h	NN
14725	572	5	of	of	IN
14725	572	6	this	this	DT
14725	572	7	wave	wave	NN
14725	572	8	,	,	,
14725	572	9	during	during	IN
14725	572	10	the	the	DT
14725	572	11	time	time	NN
14725	572	12	that	that	WRB
14725	572	13	O	o	UH
14725	572	14	came	come	VBD
14725	572	15	to	to	IN
14725	572	16	K	K	NNP
14725	572	17	,	,	,
14725	572	18	will	will	MD
14725	572	19	have	have	VB
14725	572	20	arrived	arrive	VBN
14725	572	21	at	at	IN
14725	572	22	the	the	DT
14725	572	23	surface	surface	NN
14725	572	24	CK	CK	NNP
14725	572	25	along	along	IN
14725	572	26	the	the	DT
14725	572	27	straight	straight	JJ
14725	572	28	lines	line	NNS
14725	572	29	H_x	h_x	CD
14725	572	30	_	_	NNP
14725	572	31	,	,	,
14725	572	32	and	and	CC
14725	572	33	will	will	MD
14725	572	34	moreover	moreover	RB
14725	572	35	have	have	VB
14725	572	36	produced	produce	VBN
14725	572	37	in	in	IN
14725	572	38	the	the	DT
14725	572	39	crystal	crystal	NN
14725	572	40	around	around	IN
14725	572	41	the	the	DT
14725	572	42	centres	centre	NNS
14725	572	43	_	_	NNP
14725	572	44	x	x	NNP
14725	572	45	_	_	NNP
14725	572	46	some	some	DT
14725	572	47	hemi	hemi	JJ
14725	572	48	-	-	HYPH
14725	572	49	spheroidal	spheroidal	NN
14725	572	50	partial	partial	JJ
14725	572	51	waves	wave	NNS
14725	572	52	similar	similar	JJ
14725	572	53	to	to	IN
14725	572	54	the	the	DT
14725	572	55	hemi	hemi	NNP
14725	572	56	-	-	HYPH
14725	572	57	spheroidal	spheroidal	NN
14725	572	58	GSP_g	GSP_g	-RRB-
14725	572	59	_	_	NNP
14725	572	60	,	,	,
14725	572	61	and	and	CC
14725	572	62	similarly	similarly	RB
14725	572	63	disposed	dispose	VBN
14725	572	64	,	,	,
14725	572	65	and	and	CC
14725	572	66	of	of	IN
14725	572	67	which	which	WDT
14725	572	68	the	the	DT
14725	572	69	major	major	JJ
14725	572	70	and	and	CC
14725	572	71	minor	minor	JJ
14725	572	72	diameters	diameter	NNS
14725	572	73	will	will	MD
14725	572	74	bear	bear	VB
14725	572	75	the	the	DT
14725	572	76	same	same	JJ
14725	572	77	proportions	proportion	NNS
14725	572	78	to	to	IN
14725	572	79	the	the	DT
14725	572	80	lines	line	NNS
14725	572	81	_	_	NNP
14725	572	82	xv	xv	NNP
14725	572	83	_	_	NNP
14725	572	84	(	(	-LRB-
14725	572	85	the	the	DT
14725	572	86	continuations	continuation	NNS
14725	572	87	of	of	IN
14725	572	88	the	the	DT
14725	572	89	lines	line	NNS
14725	572	90	H_x	h_x	CD
14725	572	91	_	_	NNP
14725	572	92	up	up	IN
14725	572	93	to	to	IN
14725	572	94	KB	KB	NNP
14725	572	95	parallel	parallel	NN
14725	572	96	to	to	IN
14725	572	97	CO	CO	NNP
14725	572	98	)	)	-RRB-
14725	572	99	that	that	IN
14725	572	100	the	the	DT
14725	572	101	diameters	diameter	NNS
14725	572	102	of	of	IN
14725	572	103	the	the	DT
14725	572	104	spheroid	spheroid	NN
14725	572	105	GSP_g	gsp_g	UH
14725	572	106	_	_	NNP
14725	572	107	bear	bear	VBP
14725	572	108	to	to	IN
14725	572	109	the	the	DT
14725	572	110	line	line	NN
14725	572	111	CB	CB	NNP
14725	572	112	,	,	,
14725	572	113	or	or	CC
14725	572	114	N.	N.	NNP
14725	572	115	And	and	CC
14725	572	116	it	-PRON-	PRP
14725	572	117	is	be	VBZ
14725	572	118	quite	quite	RB
14725	572	119	easy	easy	JJ
14725	572	120	to	to	TO
14725	572	121	see	see	VB
14725	572	122	that	that	IN
14725	572	123	the	the	DT
14725	572	124	common	common	JJ
14725	572	125	tangent	tangent	NN
14725	572	126	of	of	IN
14725	572	127	all	all	PDT
14725	572	128	these	these	DT
14725	572	129	spheroids	spheroid	NNS
14725	572	130	,	,	,
14725	572	131	which	which	WDT
14725	572	132	are	be	VBP
14725	572	133	here	here	RB
14725	572	134	represented	represent	VBN
14725	572	135	by	by	IN
14725	572	136	Ellipses	Ellipses	NNP
14725	572	137	,	,	,
14725	572	138	will	will	MD
14725	572	139	be	be	VB
14725	572	140	the	the	DT
14725	572	141	straight	straight	JJ
14725	572	142	line	line	NN
14725	572	143	IK	IK	NNP
14725	572	144	,	,	,
14725	572	145	which	which	WDT
14725	572	146	consequently	consequently	RB
14725	572	147	will	will	MD
14725	572	148	be	be	VB
14725	572	149	the	the	DT
14725	572	150	propagation	propagation	NN
14725	572	151	of	of	IN
14725	572	152	the	the	DT
14725	572	153	wave	wave	NN
14725	572	154	CO	CO	NNP
14725	572	155	;	;	:
14725	572	156	and	and	CC
14725	572	157	the	the	DT
14725	572	158	point	point	NN
14725	572	159	I	-PRON-	PRP
14725	572	160	will	will	MD
14725	572	161	be	be	VB
14725	572	162	that	that	DT
14725	572	163	of	of	IN
14725	572	164	the	the	DT
14725	572	165	point	point	NN
14725	572	166	C	C	NNP
14725	572	167	,	,	,
14725	572	168	conformably	conformably	RB
14725	572	169	with	with	IN
14725	572	170	that	that	DT
14725	572	171	which	which	WDT
14725	572	172	has	have	VBZ
14725	572	173	been	be	VBN
14725	572	174	demonstrated	demonstrate	VBN
14725	572	175	in	in	IN
14725	572	176	ordinary	ordinary	JJ
14725	572	177	refraction	refraction	NN
14725	572	178	.	.	.
14725	573	1	Now	now	RB
14725	573	2	as	as	IN
14725	573	3	to	to	IN
14725	573	4	finding	find	VBG
14725	573	5	the	the	DT
14725	573	6	point	point	NN
14725	573	7	of	of	IN
14725	573	8	contact	contact	NN
14725	573	9	I	-PRON-	PRP
14725	573	10	,	,	,
14725	573	11	it	-PRON-	PRP
14725	573	12	is	be	VBZ
14725	573	13	known	know	VBN
14725	573	14	that	that	IN
14725	573	15	one	one	PRP
14725	573	16	must	must	MD
14725	573	17	find	find	VB
14725	573	18	CD	CD	NNP
14725	573	19	a	a	DT
14725	573	20	third	third	JJ
14725	573	21	proportional	proportional	NN
14725	573	22	to	to	IN
14725	573	23	the	the	DT
14725	573	24	lines	line	NNS
14725	573	25	CK	CK	NNP
14725	573	26	,	,	,
14725	573	27	CG	CG	NNP
14725	573	28	,	,	,
14725	573	29	and	and	CC
14725	573	30	draw	draw	VB
14725	573	31	DI	DI	NNP
14725	573	32	parallel	parallel	NN
14725	573	33	to	to	IN
14725	573	34	CM	CM	NNP
14725	573	35	,	,	,
14725	573	36	previously	previously	RB
14725	573	37	determined	determine	VBN
14725	573	38	,	,	,
14725	573	39	which	which	WDT
14725	573	40	is	be	VBZ
14725	573	41	the	the	DT
14725	573	42	conjugate	conjugate	JJ
14725	573	43	diameter	diameter	NN
14725	573	44	to	to	IN
14725	573	45	CG	CG	NNP
14725	573	46	;	;	:
14725	573	47	for	for	IN
14725	573	48	then	then	RB
14725	573	49	,	,	,
14725	573	50	by	by	IN
14725	573	51	drawing	draw	VBG
14725	573	52	KI	KI	NNP
14725	573	53	it	-PRON-	PRP
14725	573	54	touches	touch	VBZ
14725	573	55	the	the	DT
14725	573	56	Ellipse	Ellipse	NNP
14725	573	57	at	at	IN
14725	573	58	I.	I.	NNP
14725	574	1	29	29	CD
14725	574	2	.	.	.
14725	575	1	Now	now	RB
14725	575	2	as	as	IN
14725	575	3	we	-PRON-	PRP
14725	575	4	have	have	VBP
14725	575	5	found	find	VBN
14725	575	6	CI	CI	NNP
14725	575	7	the	the	DT
14725	575	8	refraction	refraction	NN
14725	575	9	of	of	IN
14725	575	10	the	the	DT
14725	575	11	ray	ray	NN
14725	575	12	RC	RC	NNP
14725	575	13	,	,	,
14725	575	14	similarly	similarly	RB
14725	575	15	one	one	PRP
14725	575	16	will	will	MD
14725	575	17	find	find	VB
14725	575	18	C_i	c_i	XX
14725	575	19	_	_	IN
14725	575	20	the	the	DT
14725	575	21	refraction	refraction	NN
14725	575	22	of	of	IN
14725	575	23	the	the	DT
14725	575	24	ray	ray	NNP
14725	575	25	_	_	NNP
14725	575	26	r_C	r_C	NNP
14725	575	27	,	,	,
14725	575	28	which	which	WDT
14725	575	29	comes	come	VBZ
14725	575	30	from	from	IN
14725	575	31	the	the	DT
14725	575	32	opposite	opposite	JJ
14725	575	33	side	side	NN
14725	575	34	,	,	,
14725	575	35	by	by	IN
14725	575	36	making	make	VBG
14725	575	37	C_o	c_o	CD
14725	575	38	_	_	NNP
14725	575	39	perpendicular	perpendicular	NN
14725	575	40	to	to	IN
14725	575	41	_	_	NNP
14725	575	42	r_C	r_C	NNP
14725	575	43	and	and	CC
14725	575	44	following	follow	VBG
14725	575	45	out	out	RP
14725	575	46	the	the	DT
14725	575	47	rest	rest	NN
14725	575	48	of	of	IN
14725	575	49	the	the	DT
14725	575	50	construction	construction	NN
14725	575	51	as	as	IN
14725	575	52	before	before	RB
14725	575	53	.	.	.
14725	576	1	Whence	whence	IN
14725	576	2	one	one	NN
14725	576	3	sees	see	VBZ
14725	576	4	that	that	IN
14725	576	5	if	if	IN
14725	576	6	the	the	DT
14725	576	7	ray	ray	NN
14725	576	8	_	_	NNP
14725	576	9	r_C	r_C	NNP
14725	576	10	is	be	VBZ
14725	576	11	inclined	incline	VBN
14725	576	12	equally	equally	RB
14725	576	13	with	with	IN
14725	576	14	RC	RC	NNP
14725	576	15	,	,	,
14725	576	16	the	the	DT
14725	576	17	line	line	NN
14725	576	18	C_d	c_d	CD
14725	576	19	_	_	NNP
14725	576	20	will	will	MD
14725	576	21	necessarily	necessarily	RB
14725	576	22	be	be	VB
14725	576	23	equal	equal	JJ
14725	576	24	to	to	IN
14725	576	25	CD	CD	NNP
14725	576	26	,	,	,
14725	576	27	because	because	IN
14725	576	28	C_k	c_k	CD
14725	576	29	_	_	NNP
14725	576	30	is	be	VBZ
14725	576	31	equal	equal	JJ
14725	576	32	to	to	IN
14725	576	33	CK	CK	NNP
14725	576	34	,	,	,
14725	576	35	and	and	CC
14725	576	36	C_g	c_g	CD
14725	576	37	_	_	NNP
14725	576	38	to	to	IN
14725	576	39	CG	CG	NNP
14725	576	40	.	.	.
14725	577	1	And	and	CC
14725	577	2	in	in	IN
14725	577	3	consequence	consequence	NNP
14725	577	4	I_i	i_i	CD
14725	577	5	_	_	NNP
14725	577	6	will	will	MD
14725	577	7	be	be	VB
14725	577	8	cut	cut	VBN
14725	577	9	at	at	IN
14725	577	10	E	e	NN
14725	577	11	into	into	IN
14725	577	12	equal	equal	JJ
14725	577	13	parts	part	NNS
14725	577	14	by	by	IN
14725	577	15	the	the	DT
14725	577	16	line	line	NN
14725	577	17	CM	CM	NNP
14725	577	18	,	,	,
14725	577	19	to	to	IN
14725	577	20	which	which	WDT
14725	577	21	DI	DI	NNP
14725	577	22	and	and	CC
14725	577	23	_	_	NNP
14725	577	24	di	di	NNP
14725	577	25	_	_	NNP
14725	577	26	are	be	VBP
14725	577	27	parallel	parallel	JJ
14725	577	28	.	.	.
14725	578	1	And	and	CC
14725	578	2	because	because	IN
14725	578	3	CM	CM	NNP
14725	578	4	is	be	VBZ
14725	578	5	the	the	DT
14725	578	6	conjugate	conjugate	JJ
14725	578	7	diameter	diameter	NN
14725	578	8	to	to	IN
14725	578	9	CG	CG	NNP
14725	578	10	,	,	,
14725	578	11	it	-PRON-	PRP
14725	578	12	follows	follow	VBZ
14725	578	13	that	that	IN
14725	578	14	_	_	NNP
14725	578	15	i_I	i_i	NN
14725	578	16	will	will	MD
14725	578	17	be	be	VB
14725	578	18	parallel	parallel	JJ
14725	578	19	to	to	IN
14725	578	20	_	_	NNP
14725	578	21	g_G.	g_g.	NN
14725	579	1	Therefore	therefore	RB
14725	579	2	if	if	IN
14725	579	3	one	one	CD
14725	579	4	prolongs	prolong	VBZ
14725	579	5	the	the	DT
14725	579	6	refracted	refract	VBN
14725	579	7	rays	ray	NNS
14725	579	8	CI	CI	NNP
14725	579	9	,	,	,
14725	579	10	C_i	C_i	NNP
14725	579	11	_	_	NNP
14725	579	12	,	,	,
14725	579	13	until	until	IN
14725	579	14	they	-PRON-	PRP
14725	579	15	meet	meet	VBP
14725	579	16	the	the	DT
14725	579	17	tangent	tangent	NN
14725	579	18	ML	ML	NNP
14725	579	19	at	at	IN
14725	579	20	T	T	NNP
14725	579	21	and	and	CC
14725	579	22	_	_	NNP
14725	579	23	t	t	NNP
14725	579	24	_	_	NNP
14725	579	25	,	,	,
14725	579	26	the	the	DT
14725	579	27	distances	distance	NNS
14725	579	28	MT	MT	NNP
14725	579	29	,	,	,
14725	579	30	M_t	M_t	NNP
14725	579	31	_	_	NNP
14725	579	32	,	,	,
14725	579	33	will	will	MD
14725	579	34	also	also	RB
14725	579	35	be	be	VB
14725	579	36	equal	equal	JJ
14725	579	37	.	.	.
14725	580	1	And	and	CC
14725	580	2	so	so	RB
14725	580	3	,	,	,
14725	580	4	by	by	IN
14725	580	5	our	-PRON-	PRP$
14725	580	6	hypothesis	hypothesis	NN
14725	580	7	,	,	,
14725	580	8	we	-PRON-	PRP
14725	580	9	explain	explain	VBP
14725	580	10	perfectly	perfectly	RB
14725	580	11	the	the	DT
14725	580	12	phenomenon	phenomenon	NN
14725	580	13	mentioned	mention	VBN
14725	580	14	above	above	RB
14725	580	15	;	;	:
14725	580	16	to	to	IN
14725	580	17	wit	wit	NN
14725	580	18	,	,	,
14725	580	19	that	that	IN
14725	580	20	when	when	WRB
14725	580	21	there	there	EX
14725	580	22	are	be	VBP
14725	580	23	two	two	CD
14725	580	24	rays	ray	NNS
14725	580	25	equally	equally	RB
14725	580	26	inclined	inclined	JJ
14725	580	27	,	,	,
14725	580	28	but	but	CC
14725	580	29	coming	come	VBG
14725	580	30	from	from	IN
14725	580	31	opposite	opposite	JJ
14725	580	32	sides	side	NNS
14725	580	33	,	,	,
14725	580	34	as	as	IN
14725	580	35	here	here	RB
14725	580	36	the	the	DT
14725	580	37	rays	ray	NNS
14725	580	38	RC	RC	NNP
14725	580	39	,	,	,
14725	580	40	_	_	NNP
14725	580	41	rc	rc	NNP
14725	580	42	_	_	NNP
14725	580	43	,	,	,
14725	580	44	their	-PRON-	PRP$
14725	580	45	refractions	refraction	NNS
14725	580	46	diverge	diverge	VBP
14725	580	47	equally	equally	RB
14725	580	48	from	from	IN
14725	580	49	the	the	DT
14725	580	50	line	line	NN
14725	580	51	followed	follow	VBN
14725	580	52	by	by	IN
14725	580	53	the	the	DT
14725	580	54	refraction	refraction	NN
14725	580	55	of	of	IN
14725	580	56	the	the	DT
14725	580	57	ray	ray	NN
14725	580	58	perpendicular	perpendicular	JJ
14725	580	59	to	to	IN
14725	580	60	the	the	DT
14725	580	61	surface	surface	NN
14725	580	62	,	,	,
14725	580	63	by	by	IN
14725	580	64	considering	consider	VBG
14725	580	65	these	these	DT
14725	580	66	divergences	divergence	NNS
14725	580	67	in	in	IN
14725	580	68	the	the	DT
14725	580	69	direction	direction	NN
14725	580	70	parallel	parallel	JJ
14725	580	71	to	to	IN
14725	580	72	the	the	DT
14725	580	73	surface	surface	NN
14725	580	74	of	of	IN
14725	580	75	the	the	DT
14725	580	76	crystal	crystal	NN
14725	580	77	.	.	.
14725	581	1	30	30	CD
14725	581	2	.	.	.
14725	582	1	To	to	TO
14725	582	2	find	find	VB
14725	582	3	the	the	DT
14725	582	4	length	length	NN
14725	582	5	of	of	IN
14725	582	6	the	the	DT
14725	582	7	line	line	NN
14725	582	8	N	N	NNP
14725	582	9	,	,	,
14725	582	10	in	in	IN
14725	582	11	proportion	proportion	NN
14725	582	12	to	to	IN
14725	582	13	CP	CP	NNP
14725	582	14	,	,	,
14725	582	15	CS	CS	NNP
14725	582	16	,	,	,
14725	582	17	CG	CG	NNP
14725	582	18	,	,	,
14725	582	19	it	-PRON-	PRP
14725	582	20	must	must	MD
14725	582	21	be	be	VB
14725	582	22	determined	determine	VBN
14725	582	23	by	by	IN
14725	582	24	observations	observation	NNS
14725	582	25	of	of	IN
14725	582	26	the	the	DT
14725	582	27	irregular	irregular	JJ
14725	582	28	refraction	refraction	NN
14725	582	29	which	which	WDT
14725	582	30	occurs	occur	VBZ
14725	582	31	in	in	IN
14725	582	32	this	this	DT
14725	582	33	section	section	NN
14725	582	34	of	of	IN
14725	582	35	the	the	DT
14725	582	36	crystal	crystal	NN
14725	582	37	;	;	:
14725	582	38	and	and	CC
14725	582	39	I	-PRON-	PRP
14725	582	40	find	find	VBP
14725	582	41	thus	thus	RB
14725	582	42	that	that	IN
14725	582	43	the	the	DT
14725	582	44	ratio	ratio	NN
14725	582	45	of	of	IN
14725	582	46	N	n	NN
14725	582	47	to	to	IN
14725	582	48	GC	GC	NNP
14725	582	49	is	be	VBZ
14725	582	50	just	just	RB
14725	582	51	a	a	DT
14725	582	52	little	little	JJ
14725	582	53	less	less	JJR
14725	582	54	than	than	IN
14725	582	55	8	8	CD
14725	582	56	to	to	IN
14725	582	57	5	5	CD
14725	582	58	.	.	.
14725	583	1	And	and	CC
14725	583	2	having	have	VBG
14725	583	3	regard	regard	NN
14725	583	4	to	to	IN
14725	583	5	some	some	DT
14725	583	6	other	other	JJ
14725	583	7	observations	observation	NNS
14725	583	8	and	and	CC
14725	583	9	phenomena	phenomenon	NNS
14725	583	10	of	of	IN
14725	583	11	which	which	WDT
14725	583	12	I	-PRON-	PRP
14725	583	13	shall	shall	MD
14725	583	14	speak	speak	VB
14725	583	15	afterwards	afterwards	RB
14725	583	16	,	,	,
14725	583	17	I	-PRON-	PRP
14725	583	18	put	put	VBD
14725	583	19	N	n	NN
14725	583	20	at	at	IN
14725	583	21	156,962	156,962	CD
14725	583	22	parts	part	NNS
14725	583	23	,	,	,
14725	583	24	of	of	IN
14725	583	25	which	which	WDT
14725	583	26	the	the	DT
14725	583	27	semi	semi	JJ
14725	583	28	-	-	JJ
14725	583	29	diameter	diameter	NN
14725	583	30	CG	cg	NN
14725	583	31	is	be	VBZ
14725	583	32	found	find	VBN
14725	583	33	to	to	TO
14725	583	34	contain	contain	VB
14725	583	35	98,779	98,779	CD
14725	583	36	,	,	,
14725	583	37	making	make	VBG
14725	583	38	this	this	DT
14725	583	39	ratio	ratio	NN
14725	583	40	8	8	CD
14725	583	41	to	to	TO
14725	583	42	5	5	CD
14725	583	43	-	-	SYM
14725	583	44	1/29	1/29	CD
14725	583	45	.	.	.
14725	584	1	Now	now	RB
14725	584	2	this	this	DT
14725	584	3	proportion	proportion	NN
14725	584	4	,	,	,
14725	584	5	which	which	WDT
14725	584	6	there	there	EX
14725	584	7	is	be	VBZ
14725	584	8	between	between	IN
14725	584	9	the	the	DT
14725	584	10	line	line	NN
14725	584	11	N	N	NNP
14725	584	12	and	and	CC
14725	584	13	CG	CG	NNP
14725	584	14	,	,	,
14725	584	15	may	may	MD
14725	584	16	be	be	VB
14725	584	17	called	call	VBN
14725	584	18	the	the	DT
14725	584	19	Proportion	Proportion	NNP
14725	584	20	of	of	IN
14725	584	21	the	the	DT
14725	584	22	Refraction	refraction	NN
14725	584	23	;	;	:
14725	584	24	similarly	similarly	RB
14725	584	25	as	as	IN
14725	584	26	in	in	IN
14725	584	27	glass	glass	NN
14725	584	28	that	that	DT
14725	584	29	of	of	IN
14725	584	30	3	3	CD
14725	584	31	to	to	IN
14725	584	32	2	2	CD
14725	584	33	,	,	,
14725	584	34	as	as	IN
14725	584	35	will	will	MD
14725	584	36	be	be	VB
14725	584	37	manifest	manifest	JJ
14725	584	38	when	when	WRB
14725	584	39	I	-PRON-	PRP
14725	584	40	shall	shall	MD
14725	584	41	have	have	VB
14725	584	42	explained	explain	VBN
14725	584	43	a	a	DT
14725	584	44	short	short	JJ
14725	584	45	process	process	NN
14725	584	46	in	in	IN
14725	584	47	the	the	DT
14725	584	48	preceding	precede	VBG
14725	584	49	way	way	NN
14725	584	50	to	to	TO
14725	584	51	find	find	VB
14725	584	52	the	the	DT
14725	584	53	irregular	irregular	JJ
14725	584	54	refractions	refraction	NNS
14725	584	55	.	.	.
14725	585	1	31	31	CD
14725	585	2	.	.	.
14725	586	1	Supposing	suppose	VBG
14725	586	2	then	then	RB
14725	586	3	,	,	,
14725	586	4	in	in	IN
14725	586	5	the	the	DT
14725	586	6	next	next	JJ
14725	586	7	figure	figure	NN
14725	586	8	,	,	,
14725	586	9	as	as	IN
14725	586	10	previously	previously	RB
14725	586	11	,	,	,
14725	586	12	the	the	DT
14725	586	13	surface	surface	NN
14725	586	14	of	of	IN
14725	586	15	the	the	DT
14725	586	16	crystal	crystal	NN
14725	586	17	_	_	NNP
14725	586	18	g_G	g_G	NNP
14725	586	19	,	,	,
14725	586	20	the	the	DT
14725	586	21	Ellipse	Ellipse	NNP
14725	586	22	GP_g	GP_g	NNP
14725	586	23	_	_	NNP
14725	586	24	,	,	,
14725	586	25	and	and	CC
14725	586	26	the	the	DT
14725	586	27	line	line	NN
14725	586	28	N	n	CD
14725	586	29	;	;	:
14725	586	30	and	and	CC
14725	586	31	CM	CM	NNP
14725	586	32	the	the	DT
14725	586	33	refraction	refraction	NN
14725	586	34	of	of	IN
14725	586	35	the	the	DT
14725	586	36	perpendicular	perpendicular	JJ
14725	586	37	ray	ray	NNP
14725	586	38	FC	FC	NNP
14725	586	39	,	,	,
14725	586	40	from	from	IN
14725	586	41	which	which	WDT
14725	586	42	it	-PRON-	PRP
14725	586	43	diverges	diverge	VBZ
14725	586	44	by	by	IN
14725	586	45	6	6	CD
14725	586	46	degrees	degree	NNS
14725	586	47	40	40	CD
14725	586	48	minutes	minute	NNS
14725	586	49	.	.	.
14725	587	1	Now	now	RB
14725	587	2	let	let	VB
14725	587	3	there	there	EX
14725	587	4	be	be	VB
14725	587	5	some	some	DT
14725	587	6	other	other	JJ
14725	587	7	ray	ray	NN
14725	587	8	RC	rc	NN
14725	587	9	,	,	,
14725	587	10	the	the	DT
14725	587	11	refraction	refraction	NN
14725	587	12	of	of	IN
14725	587	13	which	which	WDT
14725	587	14	must	must	MD
14725	587	15	be	be	VB
14725	587	16	found	find	VBN
14725	587	17	.	.	.
14725	588	1	About	about	IN
14725	588	2	the	the	DT
14725	588	3	centre	centre	NN
14725	588	4	C	c	NN
14725	588	5	,	,	,
14725	588	6	with	with	IN
14725	588	7	semi	semi	JJ
14725	588	8	-	-	JJ
14725	588	9	diameter	diameter	JJ
14725	588	10	CG	cg	NN
14725	588	11	,	,	,
14725	588	12	let	let	VB
14725	588	13	the	the	DT
14725	588	14	circumference	circumference	NN
14725	588	15	_	_	NNP
14725	588	16	g_RG	g_rg	NN
14725	588	17	be	be	VB
14725	588	18	described	describe	VBN
14725	588	19	,	,	,
14725	588	20	cutting	cut	VBG
14725	588	21	the	the	DT
14725	588	22	ray	ray	NN
14725	588	23	RC	rc	NN
14725	588	24	at	at	IN
14725	588	25	R	r	NN
14725	588	26	;	;	:
14725	588	27	and	and	CC
14725	588	28	let	let	VB
14725	588	29	RV	rv	NN
14725	588	30	be	be	VB
14725	588	31	the	the	DT
14725	588	32	perpendicular	perpendicular	NN
14725	588	33	on	on	IN
14725	588	34	CG	CG	NNP
14725	588	35	.	.	.
14725	589	1	Then	then	RB
14725	589	2	as	as	IN
14725	589	3	the	the	DT
14725	589	4	line	line	NN
14725	589	5	N	n	CD
14725	589	6	is	be	VBZ
14725	589	7	to	to	IN
14725	589	8	CG	CG	NNP
14725	589	9	let	let	VB
14725	589	10	CV	CV	NNP
14725	589	11	be	be	VB
14725	589	12	to	to	IN
14725	589	13	CD	cd	NN
14725	589	14	,	,	,
14725	589	15	and	and	CC
14725	589	16	let	let	VB
14725	589	17	DI	DI	NNP
14725	589	18	be	be	VB
14725	589	19	drawn	draw	VBN
14725	589	20	parallel	parallel	JJ
14725	589	21	to	to	IN
14725	589	22	CM	CM	NNP
14725	589	23	,	,	,
14725	589	24	cutting	cut	VBG
14725	589	25	the	the	DT
14725	589	26	Ellipse	Ellipse	NNP
14725	589	27	_	_	NNP
14725	589	28	g_MG	g_mg	NN
14725	589	29	at	at	IN
14725	589	30	I	-PRON-	PRP
14725	589	31	;	;	:
14725	589	32	then	then	RB
14725	589	33	joining	join	VBG
14725	589	34	CI	CI	NNP
14725	589	35	,	,	,
14725	589	36	this	this	DT
14725	589	37	will	will	MD
14725	589	38	be	be	VB
14725	589	39	the	the	DT
14725	589	40	required	required	JJ
14725	589	41	refraction	refraction	NN
14725	589	42	of	of	IN
14725	589	43	the	the	DT
14725	589	44	ray	ray	NN
14725	589	45	RC	RC	NNP
14725	589	46	.	.	.
14725	590	1	Which	which	WDT
14725	590	2	is	be	VBZ
14725	590	3	demonstrated	demonstrate	VBN
14725	590	4	thus	thus	RB
14725	590	5	.	.	.
14725	591	1	[	[	-LRB-
14725	591	2	Illustration	illustration	NN
14725	591	3	]	]	-RRB-
14725	591	4	Let	let	VB
14725	591	5	CO	CO	NNP
14725	591	6	be	be	VB
14725	591	7	perpendicular	perpendicular	JJ
14725	591	8	to	to	IN
14725	591	9	CR	CR	NNP
14725	591	10	,	,	,
14725	591	11	and	and	CC
14725	591	12	across	across	IN
14725	591	13	the	the	DT
14725	591	14	angle	angle	NN
14725	591	15	OCG	OCG	NNP
14725	591	16	let	let	VBD
14725	591	17	OK	ok	RB
14725	591	18	be	be	VB
14725	591	19	adjusted	adjust	VBN
14725	591	20	,	,	,
14725	591	21	equal	equal	JJ
14725	591	22	to	to	IN
14725	591	23	N	n	NN
14725	591	24	and	and	CC
14725	591	25	perpendicular	perpendicular	JJ
14725	591	26	to	to	IN
14725	591	27	CO	CO	NNP
14725	591	28	,	,	,
14725	591	29	and	and	CC
14725	591	30	let	let	VB
14725	591	31	there	there	EX
14725	591	32	be	be	VB
14725	591	33	drawn	draw	VBN
14725	591	34	the	the	DT
14725	591	35	straight	straight	JJ
14725	591	36	line	line	NN
14725	591	37	KI	KI	NNP
14725	591	38	,	,	,
14725	591	39	which	which	WDT
14725	591	40	if	if	IN
14725	591	41	it	-PRON-	PRP
14725	591	42	is	be	VBZ
14725	591	43	demonstrated	demonstrate	VBN
14725	591	44	to	to	TO
14725	591	45	be	be	VB
14725	591	46	a	a	DT
14725	591	47	tangent	tangent	NN
14725	591	48	to	to	IN
14725	591	49	the	the	DT
14725	591	50	Ellipse	Ellipse	NNP
14725	591	51	at	at	IN
14725	591	52	I	-PRON-	PRP
14725	591	53	,	,	,
14725	591	54	it	-PRON-	PRP
14725	591	55	will	will	MD
14725	591	56	be	be	VB
14725	591	57	evident	evident	JJ
14725	591	58	by	by	IN
14725	591	59	the	the	DT
14725	591	60	things	thing	NNS
14725	591	61	heretofore	heretofore	RB
14725	591	62	explained	explain	VBD
14725	591	63	that	that	IN
14725	591	64	CI	CI	NNP
14725	591	65	is	be	VBZ
14725	591	66	the	the	DT
14725	591	67	refraction	refraction	NN
14725	591	68	of	of	IN
14725	591	69	the	the	DT
14725	591	70	ray	ray	NN
14725	591	71	RC	RC	NNP
14725	591	72	.	.	.
14725	592	1	Now	now	RB
14725	592	2	since	since	IN
14725	592	3	the	the	DT
14725	592	4	angle	angle	NN
14725	592	5	RCO	RCO	NNP
14725	592	6	is	be	VBZ
14725	592	7	a	a	DT
14725	592	8	right	right	JJ
14725	592	9	angle	angle	NN
14725	592	10	,	,	,
14725	592	11	it	-PRON-	PRP
14725	592	12	is	be	VBZ
14725	592	13	easy	easy	JJ
14725	592	14	to	to	TO
14725	592	15	see	see	VB
14725	592	16	that	that	IN
14725	592	17	the	the	DT
14725	592	18	right	right	RB
14725	592	19	-	-	HYPH
14725	592	20	angled	angle	VBN
14725	592	21	triangles	triangle	NNS
14725	592	22	RCV	RCV	NNP
14725	592	23	,	,	,
14725	592	24	KCO	KCO	NNP
14725	592	25	,	,	,
14725	592	26	are	be	VBP
14725	592	27	similar	similar	JJ
14725	592	28	.	.	.
14725	593	1	As	as	IN
14725	593	2	then	then	RB
14725	593	3	,	,	,
14725	593	4	CK	CK	NNP
14725	593	5	is	be	VBZ
14725	593	6	to	to	IN
14725	593	7	KO	KO	NNP
14725	593	8	,	,	,
14725	593	9	so	so	RB
14725	593	10	also	also	RB
14725	593	11	is	be	VBZ
14725	593	12	RC	rc	NN
14725	593	13	to	to	IN
14725	593	14	CV	CV	NNP
14725	593	15	.	.	.
14725	594	1	But	but	CC
14725	594	2	KO	KO	NNP
14725	594	3	is	be	VBZ
14725	594	4	equal	equal	JJ
14725	594	5	to	to	IN
14725	594	6	N	n	CD
14725	594	7	,	,	,
14725	594	8	and	and	CC
14725	594	9	RC	rc	NN
14725	594	10	to	to	IN
14725	594	11	CG	cg	NN
14725	594	12	:	:	:
14725	594	13	then	then	RB
14725	594	14	as	as	IN
14725	594	15	CK	CK	NNP
14725	594	16	is	be	VBZ
14725	594	17	to	to	TO
14725	594	18	N	n	CD
14725	594	19	so	so	RB
14725	594	20	will	will	MD
14725	594	21	CG	CG	NNP
14725	594	22	be	be	VB
14725	594	23	to	to	IN
14725	594	24	CV	cv	NN
14725	594	25	.	.	.
14725	595	1	But	but	CC
14725	595	2	as	as	IN
14725	595	3	N	n	CD
14725	595	4	is	be	VBZ
14725	595	5	to	to	IN
14725	595	6	CG	CG	NNP
14725	595	7	,	,	,
14725	595	8	so	so	CC
14725	595	9	,	,	,
14725	595	10	by	by	IN
14725	595	11	construction	construction	NN
14725	595	12	,	,	,
14725	595	13	is	be	VBZ
14725	595	14	CV	cv	NN
14725	595	15	to	to	IN
14725	595	16	CD	CD	NNP
14725	595	17	.	.	.
14725	596	1	Then	then	RB
14725	596	2	as	as	IN
14725	596	3	CK	CK	NNP
14725	596	4	is	be	VBZ
14725	596	5	to	to	IN
14725	596	6	CG	CG	NNP
14725	596	7	so	so	RB
14725	596	8	is	be	VBZ
14725	596	9	CG	cg	NN
14725	596	10	to	to	IN
14725	596	11	CD	CD	NNP
14725	596	12	.	.	.
14725	597	1	And	and	CC
14725	597	2	because	because	IN
14725	597	3	DI	DI	NNP
14725	597	4	is	be	VBZ
14725	597	5	parallel	parallel	NN
14725	597	6	to	to	IN
14725	597	7	CM	CM	NNP
14725	597	8	,	,	,
14725	597	9	the	the	DT
14725	597	10	conjugate	conjugate	NN
14725	597	11	diameter	diameter	NN
14725	597	12	to	to	IN
14725	597	13	CG	CG	NNP
14725	597	14	,	,	,
14725	597	15	it	-PRON-	PRP
14725	597	16	follows	follow	VBZ
14725	597	17	that	that	IN
14725	597	18	KI	KI	NNP
14725	597	19	touches	touch	VBZ
14725	597	20	the	the	DT
14725	597	21	Ellipse	Ellipse	NNP
14725	597	22	at	at	IN
14725	597	23	I	-PRON-	PRP
14725	597	24	;	;	:
14725	597	25	which	which	WDT
14725	597	26	remained	remain	VBD
14725	597	27	to	to	TO
14725	597	28	be	be	VB
14725	597	29	shown	show	VBN
14725	597	30	.	.	.
14725	598	1	32	32	CD
14725	598	2	.	.	.
14725	599	1	One	one	PRP
14725	599	2	sees	see	VBZ
14725	599	3	then	then	RB
14725	599	4	that	that	IN
14725	599	5	as	as	IN
14725	599	6	there	there	EX
14725	599	7	is	be	VBZ
14725	599	8	in	in	IN
14725	599	9	the	the	DT
14725	599	10	refraction	refraction	NN
14725	599	11	of	of	IN
14725	599	12	ordinary	ordinary	JJ
14725	599	13	media	medium	NNS
14725	599	14	a	a	DT
14725	599	15	certain	certain	JJ
14725	599	16	constant	constant	JJ
14725	599	17	proportion	proportion	NN
14725	599	18	between	between	IN
14725	599	19	the	the	DT
14725	599	20	sines	sine	NNS
14725	599	21	of	of	IN
14725	599	22	the	the	DT
14725	599	23	angles	angle	NNS
14725	599	24	which	which	WDT
14725	599	25	the	the	DT
14725	599	26	incident	incident	NN
14725	599	27	ray	ray	NN
14725	599	28	and	and	CC
14725	599	29	the	the	DT
14725	599	30	refracted	refract	VBN
14725	599	31	ray	ray	NN
14725	599	32	make	make	VBP
14725	599	33	with	with	IN
14725	599	34	the	the	DT
14725	599	35	perpendicular	perpendicular	NN
14725	599	36	,	,	,
14725	599	37	so	so	CC
14725	599	38	here	here	RB
14725	599	39	there	there	EX
14725	599	40	is	be	VBZ
14725	599	41	such	such	PDT
14725	599	42	a	a	DT
14725	599	43	proportion	proportion	NN
14725	599	44	between	between	IN
14725	599	45	CV	CV	NNP
14725	599	46	and	and	CC
14725	599	47	CD	CD	NNP
14725	599	48	or	or	CC
14725	599	49	IE	IE	NNP
14725	599	50	;	;	:
14725	599	51	that	that	DT
14725	599	52	is	be	VBZ
14725	599	53	to	to	TO
14725	599	54	say	say	VB
14725	599	55	between	between	IN
14725	599	56	the	the	DT
14725	599	57	Sine	Sine	NNP
14725	599	58	of	of	IN
14725	599	59	the	the	DT
14725	599	60	angle	angle	NN
14725	599	61	which	which	WDT
14725	599	62	the	the	DT
14725	599	63	incident	incident	NN
14725	599	64	ray	ray	NN
14725	599	65	makes	make	VBZ
14725	599	66	with	with	IN
14725	599	67	the	the	DT
14725	599	68	perpendicular	perpendicular	NN
14725	599	69	,	,	,
14725	599	70	and	and	CC
14725	599	71	the	the	DT
14725	599	72	horizontal	horizontal	JJ
14725	599	73	intercept	intercept	NN
14725	599	74	,	,	,
14725	599	75	in	in	IN
14725	599	76	the	the	DT
14725	599	77	Ellipse	Ellipse	NNP
14725	599	78	,	,	,
14725	599	79	between	between	IN
14725	599	80	the	the	DT
14725	599	81	refraction	refraction	NN
14725	599	82	of	of	IN
14725	599	83	this	this	DT
14725	599	84	ray	ray	NN
14725	599	85	and	and	CC
14725	599	86	the	the	DT
14725	599	87	diameter	diameter	NN
14725	599	88	CM	CM	NNP
14725	599	89	.	.	.
14725	600	1	For	for	IN
14725	600	2	the	the	DT
14725	600	3	ratio	ratio	NN
14725	600	4	of	of	IN
14725	600	5	CV	CV	NNP
14725	600	6	to	to	IN
14725	600	7	CD	CD	NNP
14725	600	8	is	be	VBZ
14725	600	9	,	,	,
14725	600	10	as	as	IN
14725	600	11	has	have	VBZ
14725	600	12	been	be	VBN
14725	600	13	said	say	VBN
14725	600	14	,	,	,
14725	600	15	the	the	DT
14725	600	16	same	same	JJ
14725	600	17	as	as	IN
14725	600	18	that	that	DT
14725	600	19	of	of	IN
14725	600	20	N	n	CD
14725	600	21	to	to	IN
14725	600	22	the	the	DT
14725	600	23	semi	semi	JJ
14725	600	24	-	-	JJ
14725	600	25	diameter	diameter	NN
14725	600	26	CG	cg	NN
14725	600	27	.	.	.
14725	601	1	33	33	CD
14725	601	2	.	.	.
14725	602	1	I	-PRON-	PRP
14725	602	2	will	will	MD
14725	602	3	add	add	VB
14725	602	4	here	here	RB
14725	602	5	,	,	,
14725	602	6	before	before	IN
14725	602	7	passing	pass	VBG
14725	602	8	away	away	RB
14725	602	9	,	,	,
14725	602	10	that	that	IN
14725	602	11	in	in	IN
14725	602	12	comparing	compare	VBG
14725	602	13	together	together	RB
14725	602	14	the	the	DT
14725	602	15	regular	regular	JJ
14725	602	16	and	and	CC
14725	602	17	irregular	irregular	JJ
14725	602	18	refraction	refraction	NN
14725	602	19	of	of	IN
14725	602	20	this	this	DT
14725	602	21	crystal	crystal	NN
14725	602	22	,	,	,
14725	602	23	there	there	EX
14725	602	24	is	be	VBZ
14725	602	25	this	this	DT
14725	602	26	remarkable	remarkable	JJ
14725	602	27	fact	fact	NN
14725	602	28	,	,	,
14725	602	29	that	that	IN
14725	602	30	if	if	IN
14725	602	31	ABPS	ABPS	NNP
14725	602	32	be	be	VBP
14725	602	33	the	the	DT
14725	602	34	spheroid	spheroid	NN
14725	602	35	by	by	IN
14725	602	36	which	which	WDT
14725	602	37	light	light	NN
14725	602	38	spreads	spread	VBZ
14725	602	39	in	in	IN
14725	602	40	the	the	DT
14725	602	41	Crystal	Crystal	NNP
14725	602	42	in	in	IN
14725	602	43	a	a	DT
14725	602	44	certain	certain	JJ
14725	602	45	space	space	NN
14725	602	46	of	of	IN
14725	602	47	time	time	NN
14725	602	48	(	(	-LRB-
14725	602	49	which	which	WDT
14725	602	50	spreading	spread	VBG
14725	602	51	,	,	,
14725	602	52	as	as	IN
14725	602	53	has	have	VBZ
14725	602	54	been	be	VBN
14725	602	55	said	say	VBN
14725	602	56	,	,	,
14725	602	57	serves	serve	VBZ
14725	602	58	for	for	IN
14725	602	59	the	the	DT
14725	602	60	irregular	irregular	JJ
14725	602	61	refraction	refraction	NN
14725	602	62	)	)	-RRB-
14725	602	63	,	,	,
14725	602	64	then	then	RB
14725	602	65	the	the	DT
14725	602	66	inscribed	inscribed	JJ
14725	602	67	sphere	sphere	NN
14725	602	68	BVST	BVST	NNP
14725	602	69	is	be	VBZ
14725	602	70	the	the	DT
14725	602	71	extension	extension	NN
14725	602	72	in	in	IN
14725	602	73	the	the	DT
14725	602	74	same	same	JJ
14725	602	75	space	space	NN
14725	602	76	of	of	IN
14725	602	77	time	time	NN
14725	602	78	of	of	IN
14725	602	79	the	the	DT
14725	602	80	light	light	NN
14725	602	81	which	which	WDT
14725	602	82	serves	serve	VBZ
14725	602	83	for	for	IN
14725	602	84	the	the	DT
14725	602	85	regular	regular	JJ
14725	602	86	refraction	refraction	NN
14725	602	87	.	.	.
14725	603	1	[	[	-LRB-
14725	603	2	Illustration	illustration	NN
14725	603	3	]	]	-RRB-
14725	603	4	For	for	CC
14725	603	5	we	-PRON-	PRP
14725	603	6	have	have	VBP
14725	603	7	stated	state	VBN
14725	603	8	before	before	IN
14725	603	9	this	this	DT
14725	603	10	,	,	,
14725	603	11	that	that	IN
14725	603	12	the	the	DT
14725	603	13	line	line	NN
14725	603	14	N	n	IN
14725	603	15	being	be	VBG
14725	603	16	the	the	DT
14725	603	17	radius	radius	NN
14725	603	18	of	of	IN
14725	603	19	a	a	DT
14725	603	20	spherical	spherical	JJ
14725	603	21	wave	wave	NN
14725	603	22	of	of	IN
14725	603	23	light	light	NN
14725	603	24	in	in	IN
14725	603	25	air	air	NN
14725	603	26	,	,	,
14725	603	27	while	while	IN
14725	603	28	in	in	IN
14725	603	29	the	the	DT
14725	603	30	crystal	crystal	NN
14725	603	31	it	-PRON-	PRP
14725	603	32	spread	spread	VBD
14725	603	33	through	through	IN
14725	603	34	the	the	DT
14725	603	35	spheroid	spheroid	JJ
14725	603	36	ABPS	ABPS	NNP
14725	603	37	,	,	,
14725	603	38	the	the	DT
14725	603	39	ratio	ratio	NN
14725	603	40	of	of	IN
14725	603	41	N	n	NN
14725	603	42	to	to	IN
14725	603	43	CS	CS	NNP
14725	603	44	will	will	MD
14725	603	45	be	be	VB
14725	603	46	156,962	156,962	CD
14725	603	47	to	to	IN
14725	603	48	93,410	93,410	CD
14725	603	49	.	.	.
14725	604	1	But	but	CC
14725	604	2	it	-PRON-	PRP
14725	604	3	has	have	VBZ
14725	604	4	also	also	RB
14725	604	5	been	be	VBN
14725	604	6	stated	state	VBN
14725	604	7	that	that	IN
14725	604	8	the	the	DT
14725	604	9	proportion	proportion	NN
14725	604	10	of	of	IN
14725	604	11	the	the	DT
14725	604	12	regular	regular	JJ
14725	604	13	refraction	refraction	NN
14725	604	14	was	be	VBD
14725	604	15	5	5	CD
14725	604	16	to	to	IN
14725	604	17	3	3	CD
14725	604	18	;	;	:
14725	604	19	that	that	DT
14725	604	20	is	be	VBZ
14725	604	21	to	to	TO
14725	604	22	say	say	VB
14725	604	23	,	,	,
14725	604	24	that	that	IN
14725	604	25	N	n	IN
14725	604	26	being	be	VBG
14725	604	27	the	the	DT
14725	604	28	radius	radius	NN
14725	604	29	of	of	IN
14725	604	30	a	a	DT
14725	604	31	spherical	spherical	JJ
14725	604	32	wave	wave	NN
14725	604	33	of	of	IN
14725	604	34	light	light	NN
14725	604	35	in	in	IN
14725	604	36	air	air	NN
14725	604	37	,	,	,
14725	604	38	its	-PRON-	PRP$
14725	604	39	extension	extension	NN
14725	604	40	in	in	IN
14725	604	41	the	the	DT
14725	604	42	crystal	crystal	NN
14725	604	43	would	would	MD
14725	604	44	,	,	,
14725	604	45	in	in	IN
14725	604	46	the	the	DT
14725	604	47	same	same	JJ
14725	604	48	space	space	NN
14725	604	49	of	of	IN
14725	604	50	time	time	NN
14725	604	51	,	,	,
14725	604	52	form	form	VB
14725	604	53	a	a	DT
14725	604	54	sphere	sphere	NN
14725	604	55	the	the	DT
14725	604	56	radius	radius	NN
14725	604	57	of	of	IN
14725	604	58	which	which	WDT
14725	604	59	would	would	MD
14725	604	60	be	be	VB
14725	604	61	to	to	IN
14725	604	62	N	n	CD
14725	604	63	as	as	IN
14725	604	64	3	3	CD
14725	604	65	to	to	IN
14725	604	66	5	5	CD
14725	604	67	.	.	.
14725	605	1	Now	now	RB
14725	605	2	156,962	156,962	CD
14725	605	3	is	be	VBZ
14725	605	4	to	to	IN
14725	605	5	93,410	93,410	CD
14725	605	6	as	as	IN
14725	605	7	5	5	CD
14725	605	8	to	to	TO
14725	605	9	3	3	CD
14725	605	10	less	less	JJR
14725	605	11	1/41	1/41	CD
14725	605	12	.	.	.
14725	606	1	So	so	RB
14725	606	2	that	that	IN
14725	606	3	it	-PRON-	PRP
14725	606	4	is	be	VBZ
14725	606	5	sufficiently	sufficiently	RB
14725	606	6	nearly	nearly	RB
14725	606	7	,	,	,
14725	606	8	and	and	CC
14725	606	9	may	may	MD
14725	606	10	be	be	VB
14725	606	11	exactly	exactly	RB
14725	606	12	,	,	,
14725	606	13	the	the	DT
14725	606	14	sphere	sphere	NN
14725	606	15	BVST	BVST	NNP
14725	606	16	,	,	,
14725	606	17	which	which	WDT
14725	606	18	the	the	DT
14725	606	19	light	light	NN
14725	606	20	describes	describe	VBZ
14725	606	21	for	for	IN
14725	606	22	the	the	DT
14725	606	23	regular	regular	JJ
14725	606	24	refraction	refraction	NN
14725	606	25	in	in	IN
14725	606	26	the	the	DT
14725	606	27	crystal	crystal	NN
14725	606	28	,	,	,
14725	606	29	while	while	IN
14725	606	30	it	-PRON-	PRP
14725	606	31	describes	describe	VBZ
14725	606	32	the	the	DT
14725	606	33	spheroid	spheroid	JJ
14725	606	34	BPSA	bpsa	NN
14725	606	35	for	for	IN
14725	606	36	the	the	DT
14725	606	37	irregular	irregular	JJ
14725	606	38	refraction	refraction	NN
14725	606	39	,	,	,
14725	606	40	and	and	CC
14725	606	41	while	while	IN
14725	606	42	it	-PRON-	PRP
14725	606	43	describes	describe	VBZ
14725	606	44	the	the	DT
14725	606	45	sphere	sphere	NN
14725	606	46	of	of	IN
14725	606	47	radius	radius	NN
14725	606	48	N	n	NN
14725	606	49	in	in	IN
14725	606	50	air	air	NN
14725	606	51	outside	outside	IN
14725	606	52	the	the	DT
14725	606	53	crystal	crystal	NN
14725	606	54	.	.	.
14725	607	1	Although	although	IN
14725	607	2	then	then	RB
14725	607	3	there	there	EX
14725	607	4	are	be	VBP
14725	607	5	,	,	,
14725	607	6	according	accord	VBG
14725	607	7	to	to	IN
14725	607	8	what	what	WP
14725	607	9	we	-PRON-	PRP
14725	607	10	have	have	VBP
14725	607	11	supposed	suppose	VBN
14725	607	12	,	,	,
14725	607	13	two	two	CD
14725	607	14	different	different	JJ
14725	607	15	propagations	propagation	NNS
14725	607	16	of	of	IN
14725	607	17	light	light	NN
14725	607	18	within	within	IN
14725	607	19	the	the	DT
14725	607	20	crystal	crystal	NN
14725	607	21	,	,	,
14725	607	22	it	-PRON-	PRP
14725	607	23	appears	appear	VBZ
14725	607	24	that	that	IN
14725	607	25	it	-PRON-	PRP
14725	607	26	is	be	VBZ
14725	607	27	only	only	RB
14725	607	28	in	in	IN
14725	607	29	directions	direction	NNS
14725	607	30	perpendicular	perpendicular	JJ
14725	607	31	to	to	IN
14725	607	32	the	the	DT
14725	607	33	axis	axis	JJ
14725	607	34	BS	BS	NNP
14725	607	35	of	of	IN
14725	607	36	the	the	DT
14725	607	37	spheroid	spheroid	NN
14725	607	38	that	that	IN
14725	607	39	one	one	CD
14725	607	40	of	of	IN
14725	607	41	these	these	DT
14725	607	42	propagations	propagation	NNS
14725	607	43	occurs	occur	VBZ
14725	607	44	more	more	RBR
14725	607	45	rapidly	rapidly	RB
14725	607	46	than	than	IN
14725	607	47	the	the	DT
14725	607	48	other	other	JJ
14725	607	49	;	;	:
14725	607	50	but	but	CC
14725	607	51	that	that	IN
14725	607	52	they	-PRON-	PRP
14725	607	53	have	have	VBP
14725	607	54	an	an	DT
14725	607	55	equal	equal	JJ
14725	607	56	velocity	velocity	NN
14725	607	57	in	in	IN
14725	607	58	the	the	DT
14725	607	59	other	other	JJ
14725	607	60	direction	direction	NN
14725	607	61	,	,	,
14725	607	62	namely	namely	RB
14725	607	63	,	,	,
14725	607	64	in	in	IN
14725	607	65	that	that	DT
14725	607	66	parallel	parallel	NN
14725	607	67	to	to	IN
14725	607	68	the	the	DT
14725	607	69	same	same	JJ
14725	607	70	axis	axis	NN
14725	607	71	BS	BS	NNP
14725	607	72	,	,	,
14725	607	73	which	which	WDT
14725	607	74	is	be	VBZ
14725	607	75	also	also	RB
14725	607	76	the	the	DT
14725	607	77	axis	axi	NNS
14725	607	78	of	of	IN
14725	607	79	the	the	DT
14725	607	80	obtuse	obtuse	JJ
14725	607	81	angle	angle	NN
14725	607	82	of	of	IN
14725	607	83	the	the	DT
14725	607	84	crystal	crystal	NN
14725	607	85	.	.	.
14725	608	1	[	[	-LRB-
14725	608	2	Illustration	illustration	NN
14725	608	3	]	]	-RRB-
14725	608	4	34	34	CD
14725	608	5	.	.	.
14725	609	1	The	the	DT
14725	609	2	proportion	proportion	NN
14725	609	3	of	of	IN
14725	609	4	the	the	DT
14725	609	5	refraction	refraction	NN
14725	609	6	being	be	VBG
14725	609	7	what	what	WP
14725	609	8	we	-PRON-	PRP
14725	609	9	have	have	VBP
14725	609	10	just	just	RB
14725	609	11	seen	see	VBN
14725	609	12	,	,	,
14725	609	13	I	-PRON-	PRP
14725	609	14	will	will	MD
14725	609	15	now	now	RB
14725	609	16	show	show	VB
14725	609	17	that	that	IN
14725	609	18	there	there	EX
14725	609	19	necessarily	necessarily	RB
14725	609	20	follows	follow	VBZ
14725	609	21	thence	thence	NN
14725	609	22	that	that	DT
14725	609	23	notable	notable	JJ
14725	609	24	property	property	NN
14725	609	25	of	of	IN
14725	609	26	the	the	DT
14725	609	27	ray	ray	NN
14725	609	28	which	which	WDT
14725	609	29	falling	fall	VBG
14725	609	30	obliquely	obliquely	RB
14725	609	31	on	on	IN
14725	609	32	the	the	DT
14725	609	33	surface	surface	NN
14725	609	34	of	of	IN
14725	609	35	the	the	DT
14725	609	36	crystal	crystal	NN
14725	609	37	enters	enter	VBZ
14725	609	38	it	-PRON-	PRP
14725	609	39	without	without	IN
14725	609	40	suffering	suffer	VBG
14725	609	41	refraction	refraction	NN
14725	609	42	.	.	.
14725	610	1	For	for	IN
14725	610	2	supposing	suppose	VBG
14725	610	3	the	the	DT
14725	610	4	same	same	JJ
14725	610	5	things	thing	NNS
14725	610	6	as	as	IN
14725	610	7	before	before	RB
14725	610	8	,	,	,
14725	610	9	and	and	CC
14725	610	10	that	that	IN
14725	610	11	the	the	DT
14725	610	12	ray	ray	NN
14725	610	13	makes	make	VBZ
14725	610	14	with	with	IN
14725	610	15	the	the	DT
14725	610	16	same	same	JJ
14725	610	17	surface	surface	NN
14725	610	18	_	_	NNP
14725	610	19	g_G	g_G	VBD
14725	610	20	the	the	DT
14725	610	21	angle	angle	JJ
14725	610	22	RCG	RCG	NNP
14725	610	23	of	of	IN
14725	610	24	73	73	CD
14725	610	25	degrees	degree	NNS
14725	610	26	20	20	CD
14725	610	27	minutes	minute	NNS
14725	610	28	,	,	,
14725	610	29	inclining	incline	VBG
14725	610	30	to	to	IN
14725	610	31	the	the	DT
14725	610	32	same	same	JJ
14725	610	33	side	side	NN
14725	610	34	as	as	IN
14725	610	35	the	the	DT
14725	610	36	crystal	crystal	NN
14725	610	37	(	(	-LRB-
14725	610	38	of	of	IN
14725	610	39	which	which	WDT
14725	610	40	ray	ray	NNP
14725	610	41	mention	mention	NN
14725	610	42	has	have	VBZ
14725	610	43	been	be	VBN
14725	610	44	made	make	VBN
14725	610	45	above	above	RB
14725	610	46	)	)	-RRB-
14725	610	47	;	;	:
14725	610	48	if	if	IN
14725	610	49	one	one	CD
14725	610	50	investigates	investigate	VBZ
14725	610	51	,	,	,
14725	610	52	by	by	IN
14725	610	53	the	the	DT
14725	610	54	process	process	NN
14725	610	55	above	above	RB
14725	610	56	explained	explain	VBD
14725	610	57	,	,	,
14725	610	58	the	the	DT
14725	610	59	refraction	refraction	NN
14725	610	60	CI	CI	NNP
14725	610	61	,	,	,
14725	610	62	one	one	PRP
14725	610	63	will	will	MD
14725	610	64	find	find	VB
14725	610	65	that	that	IN
14725	610	66	it	-PRON-	PRP
14725	610	67	makes	make	VBZ
14725	610	68	exactly	exactly	RB
14725	610	69	a	a	DT
14725	610	70	straight	straight	JJ
14725	610	71	line	line	NN
14725	610	72	with	with	IN
14725	610	73	RC	rc	NN
14725	610	74	,	,	,
14725	610	75	and	and	CC
14725	610	76	that	that	IN
14725	610	77	thus	thus	RB
14725	610	78	this	this	DT
14725	610	79	ray	ray	NN
14725	610	80	is	be	VBZ
14725	610	81	not	not	RB
14725	610	82	deviated	deviate	VBN
14725	610	83	at	at	RB
14725	610	84	all	all	RB
14725	610	85	,	,	,
14725	610	86	conformably	conformably	RB
14725	610	87	with	with	IN
14725	610	88	experiment	experiment	NN
14725	610	89	.	.	.
14725	611	1	This	this	DT
14725	611	2	is	be	VBZ
14725	611	3	proved	prove	VBN
14725	611	4	as	as	IN
14725	611	5	follows	follow	VBZ
14725	611	6	by	by	IN
14725	611	7	calculation	calculation	NN
14725	611	8	.	.	.
14725	612	1	CG	CG	NNP
14725	612	2	or	or	CC
14725	612	3	CR	CR	NNP
14725	612	4	being	be	VBG
14725	612	5	,	,	,
14725	612	6	as	as	RB
14725	612	7	precedently	precedently	RB
14725	612	8	,	,	,
14725	612	9	98,779	98,779	CD
14725	612	10	;	;	:
14725	612	11	CM	CM	NNP
14725	612	12	being	be	VBG
14725	612	13	100,000	100,000	CD
14725	612	14	;	;	:
14725	612	15	and	and	CC
14725	612	16	the	the	DT
14725	612	17	angle	angle	NN
14725	612	18	RCV	RCV	NNP
14725	612	19	73	73	CD
14725	612	20	degrees	degree	NNS
14725	612	21	20	20	CD
14725	612	22	minutes	minute	NNS
14725	612	23	,	,	,
14725	612	24	CV	CV	NNP
14725	612	25	will	will	MD
14725	612	26	be	be	VB
14725	612	27	28,330	28,330	CD
14725	612	28	.	.	.
14725	613	1	But	but	CC
14725	613	2	because	because	IN
14725	613	3	CI	CI	NNP
14725	613	4	is	be	VBZ
14725	613	5	the	the	DT
14725	613	6	refraction	refraction	NN
14725	613	7	of	of	IN
14725	613	8	the	the	DT
14725	613	9	ray	ray	NN
14725	613	10	RC	RC	NNP
14725	613	11	,	,	,
14725	613	12	the	the	DT
14725	613	13	proportion	proportion	NN
14725	613	14	of	of	IN
14725	613	15	CV	CV	NNP
14725	613	16	to	to	IN
14725	613	17	CD	CD	NNP
14725	613	18	is	be	VBZ
14725	613	19	156,962	156,962	CD
14725	613	20	to	to	IN
14725	613	21	98,779	98,779	CD
14725	613	22	,	,	,
14725	613	23	namely	namely	RB
14725	613	24	,	,	,
14725	613	25	that	that	DT
14725	613	26	of	of	IN
14725	613	27	N	n	NN
14725	613	28	to	to	IN
14725	613	29	CG	cg	NN
14725	613	30	;	;	:
14725	613	31	then	then	RB
14725	613	32	CD	cd	NN
14725	613	33	is	be	VBZ
14725	613	34	17,828	17,828	CD
14725	613	35	.	.	.
14725	614	1	Now	now	RB
14725	614	2	the	the	DT
14725	614	3	rectangle	rectangle	NNP
14725	614	4	_	_	NNP
14725	614	5	g_DC	g_dc	NN
14725	614	6	is	be	VBZ
14725	614	7	to	to	IN
14725	614	8	the	the	DT
14725	614	9	square	square	NN
14725	614	10	of	of	IN
14725	614	11	DI	DI	NNP
14725	614	12	as	as	IN
14725	614	13	the	the	DT
14725	614	14	square	square	NN
14725	614	15	of	of	IN
14725	614	16	CG	CG	NNP
14725	614	17	is	be	VBZ
14725	614	18	to	to	IN
14725	614	19	the	the	DT
14725	614	20	square	square	NN
14725	614	21	of	of	IN
14725	614	22	CM	CM	NNP
14725	614	23	;	;	:
14725	614	24	hence	hence	RB
14725	614	25	DI	DI	NNP
14725	614	26	or	or	CC
14725	614	27	CE	CE	NNP
14725	614	28	will	will	MD
14725	614	29	be	be	VB
14725	614	30	98,353	98,353	CD
14725	614	31	.	.	.
14725	615	1	But	but	CC
14725	615	2	as	as	IN
14725	615	3	CE	CE	NNP
14725	615	4	is	be	VBZ
14725	615	5	to	to	IN
14725	615	6	EI	EI	NNP
14725	615	7	,	,	,
14725	615	8	so	so	RB
14725	615	9	will	will	MD
14725	615	10	CM	CM	NNP
14725	615	11	be	be	VB
14725	615	12	to	to	IN
14725	615	13	MT	MT	NNP
14725	615	14	,	,	,
14725	615	15	which	which	WDT
14725	615	16	will	will	MD
14725	615	17	then	then	RB
14725	615	18	be	be	VB
14725	615	19	18,127	18,127	CD
14725	615	20	.	.	.
14725	616	1	And	and	CC
14725	616	2	being	be	VBG
14725	616	3	added	add	VBN
14725	616	4	to	to	IN
14725	616	5	ML	ML	NNP
14725	616	6	,	,	,
14725	616	7	which	which	WDT
14725	616	8	is	be	VBZ
14725	616	9	11,609	11,609	CD
14725	616	10	(	(	-LRB-
14725	616	11	namely	namely	RB
14725	616	12	the	the	DT
14725	616	13	sine	sine	NN
14725	616	14	of	of	IN
14725	616	15	the	the	DT
14725	616	16	angle	angle	NN
14725	616	17	LCM	LCM	NNP
14725	616	18	,	,	,
14725	616	19	which	which	WDT
14725	616	20	is	be	VBZ
14725	616	21	6	6	CD
14725	616	22	degrees	degree	NNS
14725	616	23	40	40	CD
14725	616	24	minutes	minute	NNS
14725	616	25	,	,	,
14725	616	26	taking	take	VBG
14725	616	27	CM	CM	NNP
14725	616	28	100,000	100,000	CD
14725	616	29	as	as	IN
14725	616	30	radius	radius	NN
14725	616	31	)	)	-RRB-
14725	616	32	we	-PRON-	PRP
14725	616	33	get	get	VBP
14725	616	34	LT	LT	NNP
14725	616	35	27,936	27,936	CD
14725	616	36	;	;	:
14725	616	37	and	and	CC
14725	616	38	this	this	DT
14725	616	39	is	be	VBZ
14725	616	40	to	to	IN
14725	616	41	LC	LC	NNP
14725	616	42	99,324	99,324	CD
14725	616	43	as	as	IN
14725	616	44	CV	cv	NN
14725	616	45	to	to	IN
14725	616	46	VR	VR	NNP
14725	616	47	,	,	,
14725	616	48	that	that	DT
14725	616	49	is	be	VBZ
14725	616	50	to	to	TO
14725	616	51	say	say	VB
14725	616	52	,	,	,
14725	616	53	as	as	IN
14725	616	54	29,938	29,938	CD
14725	616	55	,	,	,
14725	616	56	the	the	DT
14725	616	57	tangent	tangent	NN
14725	616	58	of	of	IN
14725	616	59	the	the	DT
14725	616	60	complement	complement	NN
14725	616	61	of	of	IN
14725	616	62	the	the	DT
14725	616	63	angle	angle	NN
14725	616	64	RCV	RCV	NNP
14725	616	65	,	,	,
14725	616	66	which	which	WDT
14725	616	67	is	be	VBZ
14725	616	68	73	73	CD
14725	616	69	degrees	degree	NNS
14725	616	70	20	20	CD
14725	616	71	minutes	minute	NNS
14725	616	72	,	,	,
14725	616	73	is	be	VBZ
14725	616	74	to	to	IN
14725	616	75	the	the	DT
14725	616	76	radius	radius	NN
14725	616	77	of	of	IN
14725	616	78	the	the	DT
14725	616	79	Tables	Tables	NNPS
14725	616	80	.	.	.
14725	617	1	Whence	whence	IN
14725	617	2	it	-PRON-	PRP
14725	617	3	appears	appear	VBZ
14725	617	4	that	that	IN
14725	617	5	RCIT	RCIT	NNP
14725	617	6	is	be	VBZ
14725	617	7	a	a	DT
14725	617	8	straight	straight	JJ
14725	617	9	line	line	NN
14725	617	10	;	;	:
14725	617	11	which	which	WDT
14725	617	12	was	be	VBD
14725	617	13	to	to	TO
14725	617	14	be	be	VB
14725	617	15	proved	prove	VBN
14725	617	16	.	.	.
14725	618	1	35	35	CD
14725	618	2	.	.	.
14725	619	1	Further	further	RB
14725	619	2	it	-PRON-	PRP
14725	619	3	will	will	MD
14725	619	4	be	be	VB
14725	619	5	seen	see	VBN
14725	619	6	that	that	IN
14725	619	7	the	the	DT
14725	619	8	ray	ray	NN
14725	619	9	CI	CI	NNP
14725	619	10	in	in	IN
14725	619	11	emerging	emerge	VBG
14725	619	12	through	through	IN
14725	619	13	the	the	DT
14725	619	14	opposite	opposite	JJ
14725	619	15	surface	surface	NN
14725	619	16	of	of	IN
14725	619	17	the	the	DT
14725	619	18	crystal	crystal	NN
14725	619	19	,	,	,
14725	619	20	ought	ought	MD
14725	619	21	to	to	TO
14725	619	22	pass	pass	VB
14725	619	23	out	out	RP
14725	619	24	quite	quite	RB
14725	619	25	straight	straight	RB
14725	619	26	,	,	,
14725	619	27	according	accord	VBG
14725	619	28	to	to	IN
14725	619	29	the	the	DT
14725	619	30	following	follow	VBG
14725	619	31	demonstration	demonstration	NN
14725	619	32	,	,	,
14725	619	33	which	which	WDT
14725	619	34	proves	prove	VBZ
14725	619	35	that	that	IN
14725	619	36	the	the	DT
14725	619	37	reciprocal	reciprocal	JJ
14725	619	38	relation	relation	NN
14725	619	39	of	of	IN
14725	619	40	refraction	refraction	NN
14725	619	41	obtains	obtain	NNS
14725	619	42	in	in	IN
14725	619	43	this	this	DT
14725	619	44	crystal	crystal	NN
14725	619	45	the	the	DT
14725	619	46	same	same	JJ
14725	619	47	as	as	IN
14725	619	48	in	in	IN
14725	619	49	other	other	JJ
14725	619	50	transparent	transparent	JJ
14725	619	51	bodies	body	NNS
14725	619	52	;	;	:
14725	619	53	that	that	DT
14725	619	54	is	be	VBZ
14725	619	55	to	to	TO
14725	619	56	say	say	VB
14725	619	57	,	,	,
14725	619	58	that	that	IN
14725	619	59	if	if	IN
14725	619	60	a	a	DT
14725	619	61	ray	ray	NN
14725	619	62	RC	rc	NN
14725	619	63	in	in	IN
14725	619	64	meeting	meet	VBG
14725	619	65	the	the	DT
14725	619	66	surface	surface	NN
14725	619	67	of	of	IN
14725	619	68	the	the	DT
14725	619	69	crystal	crystal	NN
14725	619	70	CG	CG	NNP
14725	619	71	is	be	VBZ
14725	619	72	refracted	refract	VBN
14725	619	73	as	as	IN
14725	619	74	CI	CI	NNP
14725	619	75	,	,	,
14725	619	76	the	the	DT
14725	619	77	ray	ray	NN
14725	619	78	CI	CI	NNP
14725	619	79	emerging	emerge	VBG
14725	619	80	through	through	IN
14725	619	81	the	the	DT
14725	619	82	opposite	opposite	JJ
14725	619	83	parallel	parallel	JJ
14725	619	84	surface	surface	NN
14725	619	85	of	of	IN
14725	619	86	the	the	DT
14725	619	87	crystal	crystal	NN
14725	619	88	,	,	,
14725	619	89	which	which	WDT
14725	619	90	I	-PRON-	PRP
14725	619	91	suppose	suppose	VBP
14725	619	92	to	to	TO
14725	619	93	be	be	VB
14725	619	94	IB	IB	NNP
14725	619	95	,	,	,
14725	619	96	will	will	MD
14725	619	97	have	have	VB
14725	619	98	its	-PRON-	PRP$
14725	619	99	refraction	refraction	NN
14725	619	100	IA	IA	NNP
14725	619	101	parallel	parallel	NN
14725	619	102	to	to	IN
14725	619	103	the	the	DT
14725	619	104	ray	ray	NN
14725	619	105	RC	RC	NNP
14725	619	106	.	.	.
14725	620	1	[	[	-LRB-
14725	620	2	Illustration	illustration	NN
14725	620	3	]	]	-RRB-
14725	620	4	Let	let	VB
14725	620	5	the	the	DT
14725	620	6	same	same	JJ
14725	620	7	things	thing	NNS
14725	620	8	be	be	VB
14725	620	9	supposed	suppose	VBN
14725	620	10	as	as	IN
14725	620	11	before	before	RB
14725	620	12	;	;	:
14725	620	13	that	that	DT
14725	620	14	is	be	VBZ
14725	620	15	to	to	TO
14725	620	16	say	say	VB
14725	620	17	,	,	,
14725	620	18	let	let	VB
14725	620	19	CO	CO	NNP
14725	620	20	,	,	,
14725	620	21	perpendicular	perpendicular	JJ
14725	620	22	to	to	IN
14725	620	23	CR	CR	NNP
14725	620	24	,	,	,
14725	620	25	represent	represent	VB
14725	620	26	a	a	DT
14725	620	27	portion	portion	NN
14725	620	28	of	of	IN
14725	620	29	a	a	DT
14725	620	30	wave	wave	NN
14725	620	31	the	the	DT
14725	620	32	continuation	continuation	NN
14725	620	33	of	of	IN
14725	620	34	which	which	WDT
14725	620	35	in	in	IN
14725	620	36	the	the	DT
14725	620	37	crystal	crystal	NN
14725	620	38	is	be	VBZ
14725	620	39	IK	IK	NNP
14725	620	40	,	,	,
14725	620	41	so	so	IN
14725	620	42	that	that	IN
14725	620	43	the	the	DT
14725	620	44	piece	piece	NN
14725	620	45	C	C	NNP
14725	620	46	will	will	MD
14725	620	47	be	be	VB
14725	620	48	continued	continue	VBN
14725	620	49	on	on	RP
14725	620	50	along	along	IN
14725	620	51	the	the	DT
14725	620	52	straight	straight	JJ
14725	620	53	line	line	NN
14725	620	54	CI	CI	NNP
14725	620	55	,	,	,
14725	620	56	while	while	IN
14725	620	57	O	o	UH
14725	620	58	comes	come	VBZ
14725	620	59	to	to	IN
14725	620	60	K.	k.	NN
14725	620	61	Now	now	RB
14725	620	62	if	if	IN
14725	620	63	one	one	NN
14725	620	64	takes	take	VBZ
14725	620	65	a	a	DT
14725	620	66	second	second	JJ
14725	620	67	period	period	NN
14725	620	68	of	of	IN
14725	620	69	time	time	NN
14725	620	70	equal	equal	JJ
14725	620	71	to	to	IN
14725	620	72	the	the	DT
14725	620	73	first	first	JJ
14725	620	74	,	,	,
14725	620	75	the	the	DT
14725	620	76	piece	piece	NN
14725	620	77	K	k	NN
14725	620	78	of	of	IN
14725	620	79	the	the	DT
14725	620	80	wave	wave	NN
14725	620	81	IK	IK	NNP
14725	620	82	will	will	NN
14725	620	83	,	,	,
14725	620	84	in	in	IN
14725	620	85	this	this	DT
14725	620	86	second	second	JJ
14725	620	87	period	period	NN
14725	620	88	,	,	,
14725	620	89	have	have	VBP
14725	620	90	advanced	advance	VBN
14725	620	91	along	along	IN
14725	620	92	the	the	DT
14725	620	93	straight	straight	JJ
14725	620	94	line	line	NN
14725	620	95	KB	KB	NNP
14725	620	96	,	,	,
14725	620	97	equal	equal	JJ
14725	620	98	and	and	CC
14725	620	99	parallel	parallel	JJ
14725	620	100	to	to	IN
14725	620	101	CI	CI	NNP
14725	620	102	,	,	,
14725	620	103	because	because	IN
14725	620	104	every	every	DT
14725	620	105	piece	piece	NN
14725	620	106	of	of	IN
14725	620	107	the	the	DT
14725	620	108	wave	wave	NN
14725	620	109	CO	CO	NNP
14725	620	110	,	,	,
14725	620	111	on	on	IN
14725	620	112	arriving	arrive	VBG
14725	620	113	at	at	IN
14725	620	114	the	the	DT
14725	620	115	surface	surface	NN
14725	620	116	CK	CK	NNP
14725	620	117	,	,	,
14725	620	118	ought	ought	MD
14725	620	119	to	to	TO
14725	620	120	go	go	VB
14725	620	121	on	on	RP
14725	620	122	in	in	IN
14725	620	123	the	the	DT
14725	620	124	crystal	crystal	NN
14725	620	125	the	the	DT
14725	620	126	same	same	JJ
14725	620	127	as	as	IN
14725	620	128	the	the	DT
14725	620	129	piece	piece	NN
14725	620	130	C	c	NN
14725	620	131	;	;	:
14725	620	132	and	and	CC
14725	620	133	in	in	IN
14725	620	134	this	this	DT
14725	620	135	same	same	JJ
14725	620	136	time	time	NN
14725	620	137	there	there	EX
14725	620	138	will	will	MD
14725	620	139	be	be	VB
14725	620	140	formed	form	VBN
14725	620	141	in	in	IN
14725	620	142	the	the	DT
14725	620	143	air	air	NN
14725	620	144	from	from	IN
14725	620	145	the	the	DT
14725	620	146	point	point	NN
14725	620	147	I	-PRON-	PRP
14725	620	148	a	a	DT
14725	620	149	partial	partial	JJ
14725	620	150	spherical	spherical	JJ
14725	620	151	wave	wave	NN
14725	620	152	having	have	VBG
14725	620	153	a	a	DT
14725	620	154	semi	semi	JJ
14725	620	155	-	-	JJ
14725	620	156	diameter	diameter	JJ
14725	620	157	IA	ia	NN
14725	620	158	equal	equal	JJ
14725	620	159	to	to	IN
14725	620	160	KO	KO	NNP
14725	620	161	,	,	,
14725	620	162	since	since	IN
14725	620	163	KO	KO	NNP
14725	620	164	has	have	VBZ
14725	620	165	been	be	VBN
14725	620	166	traversed	traverse	VBN
14725	620	167	in	in	IN
14725	620	168	an	an	DT
14725	620	169	equal	equal	JJ
14725	620	170	time	time	NN
14725	620	171	.	.	.
14725	621	1	Similarly	similarly	RB
14725	621	2	,	,	,
14725	621	3	if	if	IN
14725	621	4	one	one	PRP
14725	621	5	considers	consider	VBZ
14725	621	6	some	some	DT
14725	621	7	other	other	JJ
14725	621	8	point	point	NN
14725	621	9	of	of	IN
14725	621	10	the	the	DT
14725	621	11	wave	wave	NN
14725	621	12	IK	IK	NNP
14725	621	13	,	,	,
14725	621	14	such	such	JJ
14725	621	15	as	as	IN
14725	621	16	_	_	NNP
14725	621	17	h	h	NNP
14725	621	18	_	_	NNP
14725	621	19	,	,	,
14725	621	20	it	-PRON-	PRP
14725	621	21	will	will	MD
14725	621	22	go	go	VB
14725	621	23	along	along	IN
14725	621	24	_	_	NNP
14725	621	25	hm	hm	NNP
14725	621	26	_	_	NNP
14725	621	27	,	,	,
14725	621	28	parallel	parallel	JJ
14725	621	29	to	to	IN
14725	621	30	CI	CI	NNP
14725	621	31	,	,	,
14725	621	32	to	to	TO
14725	621	33	meet	meet	VB
14725	621	34	the	the	DT
14725	621	35	surface	surface	NN
14725	621	36	IB	ib	NN
14725	621	37	,	,	,
14725	621	38	while	while	IN
14725	621	39	the	the	DT
14725	621	40	point	point	NN
14725	621	41	K	K	NNP
14725	621	42	traverses	traverse	VBZ
14725	621	43	K_l	k_l	CD
14725	621	44	_	_	NNP
14725	621	45	equal	equal	JJ
14725	621	46	to	to	IN
14725	621	47	_	_	NNP
14725	621	48	hm	hm	NNP
14725	621	49	_	_	NNP
14725	621	50	;	;	:
14725	621	51	and	and	CC
14725	621	52	while	while	IN
14725	621	53	this	this	DT
14725	621	54	accomplishes	accomplish	VBZ
14725	621	55	the	the	DT
14725	621	56	remainder	remainder	NN
14725	621	57	_	_	NNP
14725	621	58	l_B	l_b	NN
14725	621	59	,	,	,
14725	621	60	there	there	EX
14725	621	61	will	will	MD
14725	621	62	start	start	VB
14725	621	63	from	from	IN
14725	621	64	the	the	DT
14725	621	65	point	point	NN
14725	621	66	_	_	NNP
14725	621	67	m	m	NNP
14725	621	68	_	_	NNP
14725	621	69	a	a	DT
14725	621	70	partial	partial	JJ
14725	621	71	wave	wave	NN
14725	621	72	the	the	DT
14725	621	73	semi	semi	JJ
14725	621	74	-	-	JJ
14725	621	75	diameter	diameter	NN
14725	621	76	of	of	IN
14725	621	77	which	which	WDT
14725	621	78	,	,	,
14725	621	79	_	_	NNP
14725	621	80	mn	mn	NNP
14725	621	81	_	_	NNP
14725	621	82	,	,	,
14725	621	83	will	will	MD
14725	621	84	have	have	VB
14725	621	85	the	the	DT
14725	621	86	same	same	JJ
14725	621	87	ratio	ratio	NN
14725	621	88	to	to	IN
14725	621	89	_	_	NNP
14725	621	90	l_B	l_B	-LRB-
14725	621	91	as	as	IN
14725	621	92	IA	IA	NNP
14725	621	93	to	to	IN
14725	621	94	KB	KB	NNP
14725	621	95	.	.	.
14725	622	1	Whence	whence	NN
14725	622	2	it	-PRON-	PRP
14725	622	3	is	be	VBZ
14725	622	4	evident	evident	JJ
14725	622	5	that	that	IN
14725	622	6	this	this	DT
14725	622	7	wave	wave	NN
14725	622	8	of	of	IN
14725	622	9	semi	semi	JJ
14725	622	10	-	-	JJ
14725	622	11	diameter	diameter	NN
14725	622	12	_	_	NNP
14725	622	13	mn	mn	NNP
14725	622	14	_	_	NNP
14725	622	15	,	,	,
14725	622	16	and	and	CC
14725	622	17	the	the	DT
14725	622	18	other	other	JJ
14725	622	19	of	of	IN
14725	622	20	semi	semi	JJ
14725	622	21	-	-	JJ
14725	622	22	diameter	diameter	JJ
14725	622	23	IA	IA	NNP
14725	622	24	will	will	MD
14725	622	25	have	have	VB
14725	622	26	the	the	DT
14725	622	27	same	same	JJ
14725	622	28	tangent	tangent	NN
14725	622	29	BA	BA	NNP
14725	622	30	.	.	.
14725	623	1	And	and	CC
14725	623	2	similarly	similarly	RB
14725	623	3	for	for	IN
14725	623	4	all	all	PDT
14725	623	5	the	the	DT
14725	623	6	partial	partial	JJ
14725	623	7	spherical	spherical	JJ
14725	623	8	waves	wave	NNS
14725	623	9	which	which	WDT
14725	623	10	will	will	MD
14725	623	11	be	be	VB
14725	623	12	formed	form	VBN
14725	623	13	outside	outside	IN
14725	623	14	the	the	DT
14725	623	15	crystal	crystal	NN
14725	623	16	by	by	IN
14725	623	17	the	the	DT
14725	623	18	impact	impact	NN
14725	623	19	of	of	IN
14725	623	20	all	all	PDT
14725	623	21	the	the	DT
14725	623	22	points	point	NNS
14725	623	23	of	of	IN
14725	623	24	the	the	DT
14725	623	25	wave	wave	NN
14725	623	26	IK	IK	NNP
14725	623	27	against	against	IN
14725	623	28	the	the	DT
14725	623	29	surface	surface	NN
14725	623	30	of	of	IN
14725	623	31	the	the	DT
14725	623	32	Ether	Ether	NNP
14725	623	33	IB	IB	NNP
14725	623	34	.	.	.
14725	624	1	It	-PRON-	PRP
14725	624	2	is	be	VBZ
14725	624	3	then	then	RB
14725	624	4	precisely	precisely	RB
14725	624	5	the	the	DT
14725	624	6	tangent	tangent	NN
14725	624	7	BA	BA	NNP
14725	624	8	which	which	WDT
14725	624	9	will	will	MD
14725	624	10	be	be	VB
14725	624	11	the	the	DT
14725	624	12	continuation	continuation	NN
14725	624	13	of	of	IN
14725	624	14	the	the	DT
14725	624	15	wave	wave	NN
14725	624	16	IK	IK	NNP
14725	624	17	,	,	,
14725	624	18	outside	outside	IN
14725	624	19	the	the	DT
14725	624	20	crystal	crystal	NN
14725	624	21	,	,	,
14725	624	22	when	when	WRB
14725	624	23	the	the	DT
14725	624	24	piece	piece	NN
14725	624	25	K	K	NNP
14725	624	26	has	have	VBZ
14725	624	27	reached	reach	VBN
14725	624	28	B.	B.	NNP
14725	625	1	And	and	CC
14725	625	2	in	in	IN
14725	625	3	consequence	consequence	NN
14725	625	4	IA	IA	NNP
14725	625	5	,	,	,
14725	625	6	which	which	WDT
14725	625	7	is	be	VBZ
14725	625	8	perpendicular	perpendicular	JJ
14725	625	9	to	to	IN
14725	625	10	BA	BA	NNP
14725	625	11	,	,	,
14725	625	12	will	will	MD
14725	625	13	be	be	VB
14725	625	14	the	the	DT
14725	625	15	refraction	refraction	NN
14725	625	16	of	of	IN
14725	625	17	the	the	DT
14725	625	18	ray	ray	NN
14725	625	19	CI	CI	NNP
14725	625	20	on	on	IN
14725	625	21	emerging	emerge	VBG
14725	625	22	from	from	IN
14725	625	23	the	the	DT
14725	625	24	crystal	crystal	NN
14725	625	25	.	.	.
14725	626	1	Now	now	RB
14725	626	2	it	-PRON-	PRP
14725	626	3	is	be	VBZ
14725	626	4	clear	clear	JJ
14725	626	5	that	that	IN
14725	626	6	IA	IA	NNP
14725	626	7	is	be	VBZ
14725	626	8	parallel	parallel	JJ
14725	626	9	to	to	IN
14725	626	10	the	the	DT
14725	626	11	incident	incident	NN
14725	626	12	ray	ray	NN
14725	626	13	RC	rc	NN
14725	626	14	,	,	,
14725	626	15	since	since	IN
14725	626	16	IB	IB	NNP
14725	626	17	is	be	VBZ
14725	626	18	equal	equal	JJ
14725	626	19	to	to	IN
14725	626	20	CK	CK	NNP
14725	626	21	,	,	,
14725	626	22	and	and	CC
14725	626	23	IA	IA	NNP
14725	626	24	equal	equal	JJ
14725	626	25	to	to	IN
14725	626	26	KO	KO	NNP
14725	626	27	,	,	,
14725	626	28	and	and	CC
14725	626	29	the	the	DT
14725	626	30	angles	angle	NNS
14725	626	31	A	a	NN
14725	626	32	and	and	CC
14725	626	33	O	o	NN
14725	626	34	are	be	VBP
14725	626	35	right	right	JJ
14725	626	36	angles	angle	NNS
14725	626	37	.	.	.
14725	627	1	It	-PRON-	PRP
14725	627	2	is	be	VBZ
14725	627	3	seen	see	VBN
14725	627	4	then	then	RB
14725	627	5	that	that	DT
14725	627	6	,	,	,
14725	627	7	according	accord	VBG
14725	627	8	to	to	IN
14725	627	9	our	-PRON-	PRP$
14725	627	10	hypothesis	hypothesis	NN
14725	627	11	,	,	,
14725	627	12	the	the	DT
14725	627	13	reciprocal	reciprocal	JJ
14725	627	14	relation	relation	NN
14725	627	15	of	of	IN
14725	627	16	refraction	refraction	NN
14725	627	17	holds	hold	VBZ
14725	627	18	good	good	JJ
14725	627	19	in	in	IN
14725	627	20	this	this	DT
14725	627	21	crystal	crystal	NN
14725	627	22	as	as	RB
14725	627	23	well	well	RB
14725	627	24	as	as	IN
14725	627	25	in	in	IN
14725	627	26	ordinary	ordinary	JJ
14725	627	27	transparent	transparent	JJ
14725	627	28	bodies	body	NNS
14725	627	29	;	;	:
14725	627	30	as	as	IN
14725	627	31	is	be	VBZ
14725	627	32	thus	thus	RB
14725	627	33	in	in	IN
14725	627	34	fact	fact	NN
14725	627	35	found	find	VBN
14725	627	36	by	by	IN
14725	627	37	observation	observation	NN
14725	627	38	.	.	.
14725	628	1	36	36	CD
14725	628	2	.	.	.
14725	629	1	I	-PRON-	PRP
14725	629	2	pass	pass	VBP
14725	629	3	now	now	RB
14725	629	4	to	to	IN
14725	629	5	the	the	DT
14725	629	6	consideration	consideration	NN
14725	629	7	of	of	IN
14725	629	8	other	other	JJ
14725	629	9	sections	section	NNS
14725	629	10	of	of	IN
14725	629	11	the	the	DT
14725	629	12	crystal	crystal	NN
14725	629	13	,	,	,
14725	629	14	and	and	CC
14725	629	15	of	of	IN
14725	629	16	the	the	DT
14725	629	17	refractions	refraction	NNS
14725	629	18	there	there	RB
14725	629	19	produced	produce	VBN
14725	629	20	,	,	,
14725	629	21	on	on	IN
14725	629	22	which	which	WDT
14725	629	23	,	,	,
14725	629	24	as	as	IN
14725	629	25	will	will	MD
14725	629	26	be	be	VB
14725	629	27	seen	see	VBN
14725	629	28	,	,	,
14725	629	29	some	some	DT
14725	629	30	other	other	JJ
14725	629	31	very	very	RB
14725	629	32	remarkable	remarkable	JJ
14725	629	33	phenomena	phenomenon	NNS
14725	629	34	depend	depend	VBP
14725	629	35	.	.	.
14725	630	1	Let	let	VB
14725	630	2	ABH	ABH	NNP
14725	630	3	be	be	VB
14725	630	4	a	a	DT
14725	630	5	parallelepiped	parallelepiped	NN
14725	630	6	of	of	IN
14725	630	7	crystal	crystal	NN
14725	630	8	,	,	,
14725	630	9	and	and	CC
14725	630	10	let	let	VB
14725	630	11	the	the	DT
14725	630	12	top	top	JJ
14725	630	13	surface	surface	NN
14725	630	14	AEHF	aehf	NN
14725	630	15	be	be	VB
14725	630	16	a	a	DT
14725	630	17	perfect	perfect	JJ
14725	630	18	rhombus	rhombus	NN
14725	630	19	,	,	,
14725	630	20	the	the	DT
14725	630	21	obtuse	obtuse	JJ
14725	630	22	angles	angle	NNS
14725	630	23	of	of	IN
14725	630	24	which	which	WDT
14725	630	25	are	be	VBP
14725	630	26	equally	equally	RB
14725	630	27	divided	divide	VBN
14725	630	28	by	by	IN
14725	630	29	the	the	DT
14725	630	30	straight	straight	JJ
14725	630	31	line	line	NN
14725	630	32	EF	EF	NNP
14725	630	33	,	,	,
14725	630	34	and	and	CC
14725	630	35	the	the	DT
14725	630	36	acute	acute	JJ
14725	630	37	angles	angle	NNS
14725	630	38	by	by	IN
14725	630	39	the	the	DT
14725	630	40	straight	straight	JJ
14725	630	41	line	line	NN
14725	630	42	AH	AH	NNP
14725	630	43	perpendicular	perpendicular	NN
14725	630	44	to	to	IN
14725	630	45	FE	FE	NNP
14725	630	46	.	.	.
14725	631	1	The	the	DT
14725	631	2	section	section	NN
14725	631	3	which	which	WDT
14725	631	4	we	-PRON-	PRP
14725	631	5	have	have	VBP
14725	631	6	hitherto	hitherto	VBN
14725	631	7	considered	consider	VBN
14725	631	8	is	be	VBZ
14725	631	9	that	that	IN
14725	631	10	which	which	WDT
14725	631	11	passes	pass	VBZ
14725	631	12	through	through	IN
14725	631	13	the	the	DT
14725	631	14	lines	line	NNS
14725	631	15	EF	EF	NNP
14725	631	16	,	,	,
14725	631	17	EB	eb	NN
14725	631	18	,	,	,
14725	631	19	and	and	CC
14725	631	20	which	which	WDT
14725	631	21	at	at	IN
14725	631	22	the	the	DT
14725	631	23	same	same	JJ
14725	631	24	time	time	NN
14725	631	25	cuts	cut	VBZ
14725	631	26	the	the	DT
14725	631	27	plane	plane	NN
14725	631	28	AEHF	aehf	NN
14725	631	29	at	at	IN
14725	631	30	right	right	JJ
14725	631	31	angles	angle	NNS
14725	631	32	.	.	.
14725	632	1	Refractions	refraction	NNS
14725	632	2	in	in	IN
14725	632	3	this	this	DT
14725	632	4	section	section	NN
14725	632	5	have	have	VBP
14725	632	6	this	this	DT
14725	632	7	in	in	IN
14725	632	8	common	common	JJ
14725	632	9	with	with	IN
14725	632	10	the	the	DT
14725	632	11	refractions	refraction	NNS
14725	632	12	in	in	IN
14725	632	13	ordinary	ordinary	JJ
14725	632	14	media	medium	NNS
14725	632	15	that	that	IN
14725	632	16	the	the	DT
14725	632	17	plane	plane	NN
14725	632	18	which	which	WDT
14725	632	19	is	be	VBZ
14725	632	20	drawn	draw	VBN
14725	632	21	through	through	IN
14725	632	22	the	the	DT
14725	632	23	incident	incident	NN
14725	632	24	ray	ray	NN
14725	632	25	and	and	CC
14725	632	26	which	which	WDT
14725	632	27	also	also	RB
14725	632	28	intersects	intersect	VBZ
14725	632	29	the	the	DT
14725	632	30	surface	surface	NN
14725	632	31	of	of	IN
14725	632	32	the	the	DT
14725	632	33	crystal	crystal	NN
14725	632	34	at	at	IN
14725	632	35	right	right	JJ
14725	632	36	angles	angle	NNS
14725	632	37	,	,	,
14725	632	38	is	be	VBZ
14725	632	39	that	that	IN
14725	632	40	in	in	IN
14725	632	41	which	which	WDT
14725	632	42	the	the	DT
14725	632	43	refracted	refract	VBN
14725	632	44	ray	ray	NN
14725	632	45	also	also	RB
14725	632	46	is	be	VBZ
14725	632	47	found	find	VBN
14725	632	48	.	.	.
14725	633	1	But	but	CC
14725	633	2	the	the	DT
14725	633	3	refractions	refraction	NNS
14725	633	4	which	which	WDT
14725	633	5	appertain	appertain	VBP
14725	633	6	to	to	IN
14725	633	7	every	every	DT
14725	633	8	other	other	JJ
14725	633	9	section	section	NN
14725	633	10	of	of	IN
14725	633	11	this	this	DT
14725	633	12	crystal	crystal	NN
14725	633	13	have	have	VBP
14725	633	14	this	this	DT
14725	633	15	strange	strange	JJ
14725	633	16	property	property	NN
14725	633	17	that	that	WDT
14725	633	18	the	the	DT
14725	633	19	refracted	refract	VBN
14725	633	20	ray	ray	NN
14725	633	21	always	always	RB
14725	633	22	quits	quit	VBZ
14725	633	23	the	the	DT
14725	633	24	plane	plane	NN
14725	633	25	of	of	IN
14725	633	26	the	the	DT
14725	633	27	incident	incident	NN
14725	633	28	ray	ray	NN
14725	633	29	perpendicular	perpendicular	JJ
14725	633	30	to	to	IN
14725	633	31	the	the	DT
14725	633	32	surface	surface	NN
14725	633	33	,	,	,
14725	633	34	and	and	CC
14725	633	35	turns	turn	VBZ
14725	633	36	away	away	RB
14725	633	37	towards	towards	IN
14725	633	38	the	the	DT
14725	633	39	side	side	NN
14725	633	40	of	of	IN
14725	633	41	the	the	DT
14725	633	42	slope	slope	NN
14725	633	43	of	of	IN
14725	633	44	the	the	DT
14725	633	45	crystal	crystal	NN
14725	633	46	.	.	.
14725	634	1	For	for	IN
14725	634	2	which	which	WDT
14725	634	3	fact	fact	NN
14725	634	4	we	-PRON-	PRP
14725	634	5	shall	shall	MD
14725	634	6	show	show	VB
14725	634	7	the	the	DT
14725	634	8	reason	reason	NN
14725	634	9	,	,	,
14725	634	10	in	in	IN
14725	634	11	the	the	DT
14725	634	12	first	first	JJ
14725	634	13	place	place	NN
14725	634	14	,	,	,
14725	634	15	for	for	IN
14725	634	16	the	the	DT
14725	634	17	section	section	NN
14725	634	18	through	through	IN
14725	634	19	AH	AH	NNP
14725	634	20	;	;	:
14725	634	21	and	and	CC
14725	634	22	we	-PRON-	PRP
14725	634	23	shall	shall	MD
14725	634	24	show	show	VB
14725	634	25	at	at	IN
14725	634	26	the	the	DT
14725	634	27	same	same	JJ
14725	634	28	time	time	NN
14725	634	29	how	how	WRB
14725	634	30	one	one	PRP
14725	634	31	can	can	MD
14725	634	32	determine	determine	VB
14725	634	33	the	the	DT
14725	634	34	refraction	refraction	NN
14725	634	35	,	,	,
14725	634	36	according	accord	VBG
14725	634	37	to	to	IN
14725	634	38	our	-PRON-	PRP$
14725	634	39	hypothesis	hypothesis	NN
14725	634	40	.	.	.
14725	635	1	Let	let	VB
14725	635	2	there	there	EX
14725	635	3	be	be	VB
14725	635	4	,	,	,
14725	635	5	then	then	RB
14725	635	6	,	,	,
14725	635	7	in	in	IN
14725	635	8	the	the	DT
14725	635	9	plane	plane	NN
14725	635	10	which	which	WDT
14725	635	11	passes	pass	VBZ
14725	635	12	through	through	IN
14725	635	13	AH	ah	NN
14725	635	14	,	,	,
14725	635	15	and	and	CC
14725	635	16	which	which	WDT
14725	635	17	is	be	VBZ
14725	635	18	perpendicular	perpendicular	JJ
14725	635	19	to	to	IN
14725	635	20	the	the	DT
14725	635	21	plane	plane	NN
14725	635	22	AFHE	AFHE	NNP
14725	635	23	,	,	,
14725	635	24	the	the	DT
14725	635	25	incident	incident	NN
14725	635	26	ray	ray	NN
14725	635	27	RC	rc	NN
14725	635	28	;	;	:
14725	635	29	it	-PRON-	PRP
14725	635	30	is	be	VBZ
14725	635	31	required	require	VBN
14725	635	32	to	to	TO
14725	635	33	find	find	VB
14725	635	34	its	-PRON-	PRP$
14725	635	35	refraction	refraction	NN
14725	635	36	in	in	IN
14725	635	37	the	the	DT
14725	635	38	crystal	crystal	NN
14725	635	39	.	.	.
14725	636	1	[	[	-LRB-
14725	636	2	Illustration	illustration	NN
14725	636	3	]	]	-RRB-
14725	636	4	37	37	CD
14725	636	5	.	.	.
14725	637	1	About	about	IN
14725	637	2	the	the	DT
14725	637	3	centre	centre	NN
14725	637	4	C	c	NN
14725	637	5	,	,	,
14725	637	6	which	which	WDT
14725	637	7	I	-PRON-	PRP
14725	637	8	suppose	suppose	VBP
14725	637	9	to	to	TO
14725	637	10	be	be	VB
14725	637	11	in	in	IN
14725	637	12	the	the	DT
14725	637	13	intersection	intersection	NN
14725	637	14	of	of	IN
14725	637	15	AH	AH	NNP
14725	637	16	and	and	CC
14725	637	17	FE	FE	NNP
14725	637	18	,	,	,
14725	637	19	let	let	VB
14725	637	20	there	there	EX
14725	637	21	be	be	VB
14725	637	22	imagined	imagine	VBN
14725	637	23	a	a	DT
14725	637	24	hemi	hemi	NN
14725	637	25	-	-	HYPH
14725	637	26	spheroid	spheroid	NN
14725	637	27	QG_qg_M	qg_qg_m	NN
14725	637	28	,	,	,
14725	637	29	such	such	JJ
14725	637	30	as	as	IN
14725	637	31	the	the	DT
14725	637	32	light	light	NN
14725	637	33	would	would	MD
14725	637	34	form	form	VB
14725	637	35	in	in	IN
14725	637	36	spreading	spread	VBG
14725	637	37	in	in	IN
14725	637	38	the	the	DT
14725	637	39	crystal	crystal	NN
14725	637	40	,	,	,
14725	637	41	and	and	CC
14725	637	42	let	let	VB
14725	637	43	its	-PRON-	PRP$
14725	637	44	section	section	NN
14725	637	45	by	by	IN
14725	637	46	the	the	DT
14725	637	47	plane	plane	NN
14725	637	48	AEHF	aehf	NN
14725	637	49	form	form	NN
14725	637	50	the	the	DT
14725	637	51	Ellipse	Ellipse	NNP
14725	637	52	QG_qg	QG_qg	NNP
14725	637	53	_	_	NNP
14725	637	54	,	,	,
14725	637	55	the	the	DT
14725	637	56	major	major	JJ
14725	637	57	diameter	diameter	NN
14725	637	58	of	of	IN
14725	637	59	which	which	WDT
14725	637	60	Q_q	Q_q	NNP
14725	637	61	_	_	NNP
14725	637	62	,	,	,
14725	637	63	which	which	WDT
14725	637	64	is	be	VBZ
14725	637	65	in	in	IN
14725	637	66	the	the	DT
14725	637	67	line	line	NN
14725	637	68	AH	AH	NNP
14725	637	69	,	,	,
14725	637	70	will	will	MD
14725	637	71	necessarily	necessarily	RB
14725	637	72	be	be	VB
14725	637	73	one	one	CD
14725	637	74	of	of	IN
14725	637	75	the	the	DT
14725	637	76	major	major	JJ
14725	637	77	diameters	diameter	NNS
14725	637	78	of	of	IN
14725	637	79	the	the	DT
14725	637	80	spheroid	spheroid	NN
14725	637	81	;	;	:
14725	637	82	because	because	IN
14725	637	83	the	the	DT
14725	637	84	axis	axi	NNS
14725	637	85	of	of	IN
14725	637	86	the	the	DT
14725	637	87	spheroid	spheroid	NN
14725	637	88	being	being	NN
14725	637	89	in	in	IN
14725	637	90	the	the	DT
14725	637	91	plane	plane	NN
14725	637	92	through	through	IN
14725	637	93	FEB	FEB	NNP
14725	637	94	,	,	,
14725	637	95	to	to	TO
14725	637	96	which	which	WDT
14725	637	97	QC	QC	NNP
14725	637	98	is	be	VBZ
14725	637	99	perpendicular	perpendicular	JJ
14725	637	100	,	,	,
14725	637	101	it	-PRON-	PRP
14725	637	102	follows	follow	VBZ
14725	637	103	that	that	IN
14725	637	104	QC	QC	NNP
14725	637	105	is	be	VBZ
14725	637	106	also	also	RB
14725	637	107	perpendicular	perpendicular	JJ
14725	637	108	to	to	IN
14725	637	109	the	the	DT
14725	637	110	axis	axis	NN
14725	637	111	of	of	IN
14725	637	112	the	the	DT
14725	637	113	spheroid	spheroid	NN
14725	637	114	,	,	,
14725	637	115	and	and	CC
14725	637	116	consequently	consequently	RB
14725	637	117	QC_q	QC_q	NNP
14725	637	118	_	_	IN
14725	637	119	one	one	CD
14725	637	120	of	of	IN
14725	637	121	its	-PRON-	PRP$
14725	637	122	major	major	JJ
14725	637	123	diameters	diameter	NNS
14725	637	124	.	.	.
14725	638	1	But	but	CC
14725	638	2	the	the	DT
14725	638	3	minor	minor	JJ
14725	638	4	diameter	diameter	NN
14725	638	5	of	of	IN
14725	638	6	this	this	DT
14725	638	7	Ellipse	Ellipse	NNP
14725	638	8	,	,	,
14725	638	9	G_g	g_g	CD
14725	638	10	_	_	NNP
14725	638	11	,	,	,
14725	638	12	will	will	MD
14725	638	13	bear	bear	VB
14725	638	14	to	to	IN
14725	638	15	Q_q	q_q	CD
14725	638	16	_	_	IN
14725	638	17	the	the	DT
14725	638	18	proportion	proportion	NN
14725	638	19	which	which	WDT
14725	638	20	has	have	VBZ
14725	638	21	been	be	VBN
14725	638	22	defined	define	VBN
14725	638	23	previously	previously	RB
14725	638	24	,	,	,
14725	638	25	Article	article	NN
14725	638	26	27	27	CD
14725	638	27	,	,	,
14725	638	28	between	between	IN
14725	638	29	CG	CG	NNP
14725	638	30	and	and	CC
14725	638	31	the	the	DT
14725	638	32	major	major	JJ
14725	638	33	semi	semi	JJ
14725	638	34	-	-	JJ
14725	638	35	diameter	diameter	NN
14725	638	36	of	of	IN
14725	638	37	the	the	DT
14725	638	38	spheroid	spheroid	NN
14725	638	39	,	,	,
14725	638	40	CP	CP	NNP
14725	638	41	,	,	,
14725	638	42	namely	namely	RB
14725	638	43	,	,	,
14725	638	44	that	that	DT
14725	638	45	of	of	IN
14725	638	46	98,779	98,779	CD
14725	638	47	to	to	IN
14725	638	48	105,032	105,032	CD
14725	638	49	.	.	.
14725	639	1	Let	let	VB
14725	639	2	the	the	DT
14725	639	3	line	line	NN
14725	639	4	N	n	NN
14725	639	5	be	be	VB
14725	639	6	the	the	DT
14725	639	7	length	length	NN
14725	639	8	of	of	IN
14725	639	9	the	the	DT
14725	639	10	travel	travel	NN
14725	639	11	of	of	IN
14725	639	12	light	light	NN
14725	639	13	in	in	IN
14725	639	14	air	air	NN
14725	639	15	during	during	IN
14725	639	16	the	the	DT
14725	639	17	time	time	NN
14725	639	18	in	in	IN
14725	639	19	which	which	WDT
14725	639	20	,	,	,
14725	639	21	within	within	IN
14725	639	22	the	the	DT
14725	639	23	crystal	crystal	NN
14725	639	24	,	,	,
14725	639	25	it	-PRON-	PRP
14725	639	26	makes	make	VBZ
14725	639	27	,	,	,
14725	639	28	from	from	IN
14725	639	29	the	the	DT
14725	639	30	centre	centre	NN
14725	639	31	C	C	NNP
14725	639	32	,	,	,
14725	639	33	the	the	DT
14725	639	34	spheroid	spheroid	JJ
14725	639	35	QC_qg_M.	QC_qg_M.	NNP
14725	640	1	Then	then	RB
14725	640	2	having	have	VBG
14725	640	3	drawn	draw	VBN
14725	640	4	CO	CO	NNP
14725	640	5	perpendicular	perpendicular	JJ
14725	640	6	to	to	IN
14725	640	7	the	the	DT
14725	640	8	ray	ray	NNP
14725	640	9	CR	CR	NNP
14725	640	10	and	and	CC
14725	640	11	situate	situate	VB
14725	640	12	in	in	IN
14725	640	13	the	the	DT
14725	640	14	plane	plane	NN
14725	640	15	through	through	IN
14725	640	16	CR	CR	NNP
14725	640	17	and	and	CC
14725	640	18	AH	AH	NNP
14725	640	19	,	,	,
14725	640	20	let	let	VB
14725	640	21	there	there	EX
14725	640	22	be	be	VB
14725	640	23	adjusted	adjust	VBN
14725	640	24	,	,	,
14725	640	25	across	across	IN
14725	640	26	the	the	DT
14725	640	27	angle	angle	NN
14725	640	28	ACO	ACO	NNP
14725	640	29	,	,	,
14725	640	30	the	the	DT
14725	640	31	straight	straight	JJ
14725	640	32	line	line	NN
14725	640	33	OK	ok	UH
14725	640	34	equal	equal	JJ
14725	640	35	to	to	IN
14725	640	36	N	n	NN
14725	640	37	and	and	CC
14725	640	38	perpendicular	perpendicular	JJ
14725	640	39	to	to	IN
14725	640	40	CO	CO	NNP
14725	640	41	,	,	,
14725	640	42	and	and	CC
14725	640	43	let	let	VB
14725	640	44	it	-PRON-	PRP
14725	640	45	meet	meet	VB
14725	640	46	the	the	DT
14725	640	47	straight	straight	JJ
14725	640	48	line	line	NN
14725	640	49	AH	ah	NN
14725	640	50	at	at	IN
14725	640	51	K.	K.	NNP
14725	640	52	Supposing	Supposing	NNP
14725	640	53	consequently	consequently	RB
14725	640	54	that	that	IN
14725	640	55	CL	CL	NNP
14725	640	56	is	be	VBZ
14725	640	57	perpendicular	perpendicular	JJ
14725	640	58	to	to	IN
14725	640	59	the	the	DT
14725	640	60	surface	surface	NN
14725	640	61	of	of	IN
14725	640	62	the	the	DT
14725	640	63	crystal	crystal	NN
14725	640	64	AEHF	aehf	NN
14725	640	65	,	,	,
14725	640	66	and	and	CC
14725	640	67	that	that	IN
14725	640	68	CM	CM	NNP
14725	640	69	is	be	VBZ
14725	640	70	the	the	DT
14725	640	71	refraction	refraction	NN
14725	640	72	of	of	IN
14725	640	73	the	the	DT
14725	640	74	ray	ray	NN
14725	640	75	which	which	WDT
14725	640	76	falls	fall	VBZ
14725	640	77	perpendicularly	perpendicularly	RB
14725	640	78	on	on	IN
14725	640	79	this	this	DT
14725	640	80	same	same	JJ
14725	640	81	surface	surface	NN
14725	640	82	,	,	,
14725	640	83	let	let	VB
14725	640	84	there	there	EX
14725	640	85	be	be	VB
14725	640	86	drawn	draw	VBN
14725	640	87	a	a	DT
14725	640	88	plane	plane	NN
14725	640	89	through	through	IN
14725	640	90	the	the	DT
14725	640	91	line	line	NN
14725	640	92	CM	CM	NNP
14725	640	93	and	and	CC
14725	640	94	through	through	IN
14725	640	95	KCH	KCH	NNP
14725	640	96	,	,	,
14725	640	97	making	make	VBG
14725	640	98	in	in	IN
14725	640	99	the	the	DT
14725	640	100	spheroid	spheroid	NN
14725	640	101	the	the	DT
14725	640	102	semi	semi	JJ
14725	640	103	-	-	JJ
14725	640	104	ellipse	ellipse	NN
14725	640	105	QM_q	QM_q	NNP
14725	640	106	_	_	NNP
14725	640	107	,	,	,
14725	640	108	which	which	WDT
14725	640	109	will	will	MD
14725	640	110	be	be	VB
14725	640	111	given	give	VBN
14725	640	112	,	,	,
14725	640	113	since	since	IN
14725	640	114	the	the	DT
14725	640	115	angle	angle	NN
14725	640	116	MCL	MCL	NNP
14725	640	117	is	be	VBZ
14725	640	118	given	give	VBN
14725	640	119	of	of	IN
14725	640	120	value	value	NN
14725	640	121	6	6	CD
14725	640	122	degrees	degree	NNS
14725	640	123	40	40	CD
14725	640	124	minutes	minute	NNS
14725	640	125	.	.	.
14725	641	1	And	and	CC
14725	641	2	it	-PRON-	PRP
14725	641	3	is	be	VBZ
14725	641	4	certain	certain	JJ
14725	641	5	,	,	,
14725	641	6	according	accord	VBG
14725	641	7	to	to	IN
14725	641	8	what	what	WP
14725	641	9	has	have	VBZ
14725	641	10	been	be	VBN
14725	641	11	explained	explain	VBN
14725	641	12	above	above	RB
14725	641	13	,	,	,
14725	641	14	Article	article	NN
14725	641	15	27	27	CD
14725	641	16	,	,	,
14725	641	17	that	that	IN
14725	641	18	a	a	DT
14725	641	19	plane	plane	NN
14725	641	20	which	which	WDT
14725	641	21	would	would	MD
14725	641	22	touch	touch	VB
14725	641	23	the	the	DT
14725	641	24	spheroid	spheroid	NN
14725	641	25	at	at	IN
14725	641	26	the	the	DT
14725	641	27	point	point	NN
14725	641	28	M	M	NNP
14725	641	29	,	,	,
14725	641	30	where	where	WRB
14725	641	31	I	-PRON-	PRP
14725	641	32	suppose	suppose	VBP
14725	641	33	the	the	DT
14725	641	34	straight	straight	JJ
14725	641	35	line	line	NN
14725	641	36	CM	CM	NNP
14725	641	37	to	to	TO
14725	641	38	meet	meet	VB
14725	641	39	the	the	DT
14725	641	40	surface	surface	NN
14725	641	41	,	,	,
14725	641	42	would	would	MD
14725	641	43	be	be	VB
14725	641	44	parallel	parallel	JJ
14725	641	45	to	to	IN
14725	641	46	the	the	DT
14725	641	47	plane	plane	NN
14725	641	48	QG_q	QG_q	NNP
14725	641	49	_	_	NNP
14725	641	50	.	.	.
14725	642	1	If	if	IN
14725	642	2	then	then	RB
14725	642	3	through	through	IN
14725	642	4	the	the	DT
14725	642	5	point	point	NN
14725	642	6	K	K	NNP
14725	642	7	one	one	NN
14725	642	8	now	now	RB
14725	642	9	draws	draw	VBZ
14725	642	10	KS	KS	NNP
14725	642	11	parallel	parallel	NN
14725	642	12	to	to	IN
14725	642	13	G_g	g_g	CD
14725	642	14	_	_	NNP
14725	642	15	,	,	,
14725	642	16	which	which	WDT
14725	642	17	will	will	MD
14725	642	18	be	be	VB
14725	642	19	parallel	parallel	JJ
14725	642	20	also	also	RB
14725	642	21	to	to	IN
14725	642	22	QX	QX	NNP
14725	642	23	,	,	,
14725	642	24	the	the	DT
14725	642	25	tangent	tangent	NN
14725	642	26	to	to	IN
14725	642	27	the	the	DT
14725	642	28	Ellipse	Ellipse	NNP
14725	642	29	QG_q	QG_q	NNP
14725	642	30	_	_	NNP
14725	642	31	at	at	IN
14725	642	32	Q	Q	NNP
14725	642	33	;	;	:
14725	642	34	and	and	CC
14725	642	35	if	if	IN
14725	642	36	one	one	PRP
14725	642	37	conceives	conceive	VBZ
14725	642	38	a	a	DT
14725	642	39	plane	plane	NN
14725	642	40	passing	pass	VBG
14725	642	41	through	through	IN
14725	642	42	KS	KS	NNP
14725	642	43	and	and	CC
14725	642	44	touching	touch	VBG
14725	642	45	the	the	DT
14725	642	46	spheroid	spheroid	NN
14725	642	47	,	,	,
14725	642	48	the	the	DT
14725	642	49	point	point	NN
14725	642	50	of	of	IN
14725	642	51	contact	contact	NN
14725	642	52	will	will	MD
14725	642	53	necessarily	necessarily	RB
14725	642	54	be	be	VB
14725	642	55	in	in	IN
14725	642	56	the	the	DT
14725	642	57	Ellipse	Ellipse	NNP
14725	642	58	QM_q	QM_q	NNP
14725	642	59	_	_	NNP
14725	642	60	,	,	,
14725	642	61	because	because	IN
14725	642	62	this	this	DT
14725	642	63	plane	plane	NN
14725	642	64	through	through	IN
14725	642	65	KS	KS	NNP
14725	642	66	,	,	,
14725	642	67	as	as	RB
14725	642	68	well	well	RB
14725	642	69	as	as	IN
14725	642	70	the	the	DT
14725	642	71	plane	plane	NN
14725	642	72	which	which	WDT
14725	642	73	touches	touch	VBZ
14725	642	74	the	the	DT
14725	642	75	spheroid	spheroid	NN
14725	642	76	at	at	IN
14725	642	77	the	the	DT
14725	642	78	point	point	NN
14725	642	79	M	m	NN
14725	642	80	,	,	,
14725	642	81	are	be	VBP
14725	642	82	parallel	parallel	JJ
14725	642	83	to	to	IN
14725	642	84	QX	QX	NNP
14725	642	85	,	,	,
14725	642	86	the	the	DT
14725	642	87	tangent	tangent	NN
14725	642	88	of	of	IN
14725	642	89	the	the	DT
14725	642	90	spheroid	spheroid	NN
14725	642	91	:	:	:
14725	642	92	for	for	IN
14725	642	93	this	this	DT
14725	642	94	consequence	consequence	NN
14725	642	95	will	will	MD
14725	642	96	be	be	VB
14725	642	97	demonstrated	demonstrate	VBN
14725	642	98	at	at	IN
14725	642	99	the	the	DT
14725	642	100	end	end	NN
14725	642	101	of	of	IN
14725	642	102	this	this	DT
14725	642	103	Treatise	Treatise	NNP
14725	642	104	.	.	.
14725	643	1	Let	let	VB
14725	643	2	this	this	DT
14725	643	3	point	point	NN
14725	643	4	of	of	IN
14725	643	5	contact	contact	NN
14725	643	6	be	be	VBP
14725	643	7	at	at	IN
14725	643	8	I	-PRON-	PRP
14725	643	9	,	,	,
14725	643	10	then	then	RB
14725	643	11	making	make	VBG
14725	643	12	KC	KC	NNP
14725	643	13	,	,	,
14725	643	14	QC	QC	NNP
14725	643	15	,	,	,
14725	643	16	DC	DC	NNP
14725	643	17	proportionals	proportional	NNS
14725	643	18	,	,	,
14725	643	19	draw	draw	VBP
14725	643	20	DI	DI	NNP
14725	643	21	parallel	parallel	NN
14725	643	22	to	to	IN
14725	643	23	CM	CM	NNP
14725	643	24	;	;	:
14725	643	25	also	also	RB
14725	643	26	join	join	VB
14725	643	27	CI	CI	NNP
14725	643	28	.	.	.
14725	644	1	I	-PRON-	PRP
14725	644	2	say	say	VBP
14725	644	3	that	that	IN
14725	644	4	CI	CI	NNP
14725	644	5	will	will	MD
14725	644	6	be	be	VB
14725	644	7	the	the	DT
14725	644	8	required	required	JJ
14725	644	9	refraction	refraction	NN
14725	644	10	of	of	IN
14725	644	11	the	the	DT
14725	644	12	ray	ray	NN
14725	644	13	RC	RC	NNP
14725	644	14	.	.	.
14725	645	1	This	this	DT
14725	645	2	will	will	MD
14725	645	3	be	be	VB
14725	645	4	manifest	manifest	JJ
14725	645	5	if	if	IN
14725	645	6	,	,	,
14725	645	7	in	in	IN
14725	645	8	considering	consider	VBG
14725	645	9	CO	CO	NNP
14725	645	10	,	,	,
14725	645	11	which	which	WDT
14725	645	12	is	be	VBZ
14725	645	13	perpendicular	perpendicular	JJ
14725	645	14	to	to	IN
14725	645	15	the	the	DT
14725	645	16	ray	ray	NN
14725	645	17	RC	RC	NNP
14725	645	18	,	,	,
14725	645	19	as	as	IN
14725	645	20	a	a	DT
14725	645	21	portion	portion	NN
14725	645	22	of	of	IN
14725	645	23	the	the	DT
14725	645	24	wave	wave	NN
14725	645	25	of	of	IN
14725	645	26	light	light	NN
14725	645	27	,	,	,
14725	645	28	we	-PRON-	PRP
14725	645	29	can	can	MD
14725	645	30	demonstrate	demonstrate	VB
14725	645	31	that	that	IN
14725	645	32	the	the	DT
14725	645	33	continuation	continuation	NN
14725	645	34	of	of	IN
14725	645	35	its	-PRON-	PRP$
14725	645	36	piece	piece	NN
14725	645	37	C	C	NNP
14725	645	38	will	will	MD
14725	645	39	be	be	VB
14725	645	40	found	find	VBN
14725	645	41	in	in	IN
14725	645	42	the	the	DT
14725	645	43	crystal	crystal	NN
14725	645	44	at	at	IN
14725	645	45	I	-PRON-	PRP
14725	645	46	,	,	,
14725	645	47	when	when	WRB
14725	645	48	O	o	PRP
14725	645	49	has	have	VBZ
14725	645	50	arrived	arrive	VBN
14725	645	51	at	at	IN
14725	645	52	K.	K.	NNP
14725	645	53	38	38	CD
14725	645	54	.	.	.
14725	646	1	Now	now	RB
14725	646	2	as	as	IN
14725	646	3	in	in	IN
14725	646	4	the	the	DT
14725	646	5	Chapter	Chapter	NNP
14725	646	6	on	on	IN
14725	646	7	Reflexion	Reflexion	NNP
14725	646	8	,	,	,
14725	646	9	in	in	IN
14725	646	10	demonstrating	demonstrate	VBG
14725	646	11	that	that	IN
14725	646	12	the	the	DT
14725	646	13	incident	incident	NN
14725	646	14	and	and	CC
14725	646	15	reflected	reflect	VBN
14725	646	16	rays	ray	NNS
14725	646	17	are	be	VBP
14725	646	18	always	always	RB
14725	646	19	in	in	IN
14725	646	20	the	the	DT
14725	646	21	same	same	JJ
14725	646	22	plane	plane	NN
14725	646	23	perpendicular	perpendicular	JJ
14725	646	24	to	to	IN
14725	646	25	the	the	DT
14725	646	26	reflecting	reflect	VBG
14725	646	27	surface	surface	NN
14725	646	28	,	,	,
14725	646	29	we	-PRON-	PRP
14725	646	30	considered	consider	VBD
14725	646	31	the	the	DT
14725	646	32	breadth	breadth	NN
14725	646	33	of	of	IN
14725	646	34	the	the	DT
14725	646	35	wave	wave	NN
14725	646	36	of	of	IN
14725	646	37	light	light	NN
14725	646	38	,	,	,
14725	646	39	so	so	CC
14725	646	40	,	,	,
14725	646	41	similarly	similarly	RB
14725	646	42	,	,	,
14725	646	43	we	-PRON-	PRP
14725	646	44	must	must	MD
14725	646	45	here	here	RB
14725	646	46	consider	consider	VB
14725	646	47	the	the	DT
14725	646	48	breadth	breadth	NN
14725	646	49	of	of	IN
14725	646	50	the	the	DT
14725	646	51	wave	wave	NN
14725	646	52	CO	CO	NNP
14725	646	53	in	in	IN
14725	646	54	the	the	DT
14725	646	55	diameter	diameter	NN
14725	646	56	G_g	g_g	CD
14725	646	57	_	_	NNP
14725	646	58	.	.	.
14725	647	1	Taking	take	VBG
14725	647	2	then	then	RB
14725	647	3	the	the	DT
14725	647	4	breadth	breadth	NN
14725	647	5	C_c	c_c	CD
14725	647	6	_	_	NNP
14725	647	7	on	on	IN
14725	647	8	the	the	DT
14725	647	9	side	side	NN
14725	647	10	toward	toward	IN
14725	647	11	the	the	DT
14725	647	12	angle	angle	NN
14725	647	13	E	e	NN
14725	647	14	,	,	,
14725	647	15	let	let	VB
14725	647	16	the	the	DT
14725	647	17	parallelogram	parallelogram	NN
14725	647	18	CO_oc	CO_oc	NNP
14725	647	19	_	_	NNP
14725	647	20	be	be	VB
14725	647	21	taken	take	VBN
14725	647	22	as	as	IN
14725	647	23	a	a	DT
14725	647	24	portion	portion	NN
14725	647	25	of	of	IN
14725	647	26	a	a	DT
14725	647	27	wave	wave	NN
14725	647	28	,	,	,
14725	647	29	and	and	CC
14725	647	30	let	let	VB
14725	647	31	us	-PRON-	PRP
14725	647	32	complete	complete	VB
14725	647	33	the	the	DT
14725	647	34	parallelograms	parallelograms	NNPS
14725	647	35	CK_kc	ck_kc	XX
14725	647	36	_	_	NNP
14725	647	37	,	,	,
14725	647	38	CI_ic	CI_ic	NNP
14725	647	39	_	_	NNP
14725	647	40	,	,	,
14725	647	41	Kl_ik	Kl_ik	NNP
14725	647	42	_	_	NNP
14725	647	43	,	,	,
14725	647	44	OK_ko	ok_ko	XX
14725	647	45	_	_	NNP
14725	647	46	.	.	.
14725	648	1	In	in	IN
14725	648	2	the	the	DT
14725	648	3	time	time	NN
14725	648	4	then	then	RB
14725	648	5	that	that	IN
14725	648	6	the	the	DT
14725	648	7	line	line	NN
14725	648	8	O_o	o_o	CD
14725	648	9	_	_	NNP
14725	648	10	arrives	arrive	VBZ
14725	648	11	at	at	IN
14725	648	12	the	the	DT
14725	648	13	surface	surface	NN
14725	648	14	of	of	IN
14725	648	15	the	the	DT
14725	648	16	crystal	crystal	NN
14725	648	17	at	at	IN
14725	648	18	K_k	k_k	CD
14725	648	19	_	_	NNP
14725	648	20	,	,	,
14725	648	21	all	all	PDT
14725	648	22	the	the	DT
14725	648	23	points	point	NNS
14725	648	24	of	of	IN
14725	648	25	the	the	DT
14725	648	26	wave	wave	NN
14725	648	27	CO_oc	CO_oc	NNP
14725	648	28	_	_	NNP
14725	648	29	will	will	MD
14725	648	30	have	have	VB
14725	648	31	arrived	arrive	VBN
14725	648	32	at	at	IN
14725	648	33	the	the	DT
14725	648	34	rectangle	rectangle	NNP
14725	648	35	K_c	K_c	NNP
14725	648	36	_	_	NNP
14725	648	37	along	along	IN
14725	648	38	lines	line	NNS
14725	648	39	parallel	parallel	JJ
14725	648	40	to	to	IN
14725	648	41	OK	ok	UH
14725	648	42	;	;	:
14725	648	43	and	and	CC
14725	648	44	from	from	IN
14725	648	45	the	the	DT
14725	648	46	points	point	NNS
14725	648	47	of	of	IN
14725	648	48	their	-PRON-	PRP$
14725	648	49	incidences	incidence	NNS
14725	648	50	there	there	EX
14725	648	51	will	will	MD
14725	648	52	originate	originate	VB
14725	648	53	,	,	,
14725	648	54	beyond	beyond	IN
14725	648	55	that	that	DT
14725	648	56	,	,	,
14725	648	57	in	in	IN
14725	648	58	the	the	DT
14725	648	59	crystal	crystal	NNP
14725	648	60	partial	partial	JJ
14725	648	61	hemi	hemi	NNP
14725	648	62	-	-	HYPH
14725	648	63	spheroids	spheroid	NNS
14725	648	64	,	,	,
14725	648	65	similar	similar	JJ
14725	648	66	to	to	IN
14725	648	67	the	the	DT
14725	648	68	hemi	hemi	JJ
14725	648	69	-	-	HYPH
14725	648	70	spheroid	spheroid	NN
14725	648	71	QM_q	QM_q	NNP
14725	648	72	_	_	NNP
14725	648	73	,	,	,
14725	648	74	and	and	CC
14725	648	75	similarly	similarly	RB
14725	648	76	disposed	disposed	JJ
14725	648	77	.	.	.
14725	649	1	These	these	DT
14725	649	2	hemi	hemi	NN
14725	649	3	-	-	HYPH
14725	649	4	spheroids	spheroid	NNS
14725	649	5	will	will	MD
14725	649	6	necessarily	necessarily	RB
14725	649	7	all	all	DT
14725	649	8	touch	touch	VB
14725	649	9	the	the	DT
14725	649	10	plane	plane	NN
14725	649	11	of	of	IN
14725	649	12	the	the	DT
14725	649	13	parallelogram	parallelogram	NN
14725	649	14	KI_ik	KI_ik	NNP
14725	649	15	_	_	NNP
14725	649	16	at	at	IN
14725	649	17	the	the	DT
14725	649	18	same	same	JJ
14725	649	19	instant	instant	NN
14725	649	20	that	that	IN
14725	649	21	O_o	o_o	CD
14725	649	22	_	_	NNP
14725	649	23	has	have	VBZ
14725	649	24	reached	reach	VBN
14725	649	25	K_k	k_k	CD
14725	649	26	_	_	NNP
14725	649	27	.	.	.
14725	650	1	Which	which	WDT
14725	650	2	is	be	VBZ
14725	650	3	easy	easy	JJ
14725	650	4	to	to	TO
14725	650	5	comprehend	comprehend	VB
14725	650	6	,	,	,
14725	650	7	since	since	IN
14725	650	8	,	,	,
14725	650	9	of	of	IN
14725	650	10	these	these	DT
14725	650	11	hemi	hemi	JJ
14725	650	12	-	-	HYPH
14725	650	13	spheroids	spheroid	NNS
14725	650	14	,	,	,
14725	650	15	all	all	PDT
14725	650	16	those	those	DT
14725	650	17	which	which	WDT
14725	650	18	have	have	VBP
14725	650	19	their	-PRON-	PRP$
14725	650	20	centres	centre	NNS
14725	650	21	along	along	IN
14725	650	22	the	the	DT
14725	650	23	line	line	NN
14725	650	24	CK	CK	NNP
14725	650	25	,	,	,
14725	650	26	touch	touch	VB
14725	650	27	this	this	DT
14725	650	28	plane	plane	NN
14725	650	29	in	in	IN
14725	650	30	the	the	DT
14725	650	31	line	line	NN
14725	650	32	KI	KI	NNP
14725	650	33	(	(	-LRB-
14725	650	34	for	for	IN
14725	650	35	this	this	DT
14725	650	36	is	be	VBZ
14725	650	37	to	to	TO
14725	650	38	be	be	VB
14725	650	39	shown	show	VBN
14725	650	40	in	in	IN
14725	650	41	the	the	DT
14725	650	42	same	same	JJ
14725	650	43	way	way	NN
14725	650	44	as	as	IN
14725	650	45	we	-PRON-	PRP
14725	650	46	have	have	VBP
14725	650	47	demonstrated	demonstrate	VBN
14725	650	48	the	the	DT
14725	650	49	refraction	refraction	NN
14725	650	50	of	of	IN
14725	650	51	the	the	DT
14725	650	52	oblique	oblique	JJ
14725	650	53	ray	ray	NN
14725	650	54	in	in	IN
14725	650	55	the	the	DT
14725	650	56	principal	principal	JJ
14725	650	57	section	section	NN
14725	650	58	through	through	IN
14725	650	59	EF	EF	NNP
14725	650	60	)	)	-RRB-
14725	650	61	and	and	CC
14725	650	62	all	all	PDT
14725	650	63	those	those	DT
14725	650	64	which	which	WDT
14725	650	65	have	have	VBP
14725	650	66	their	-PRON-	PRP$
14725	650	67	centres	centre	NNS
14725	650	68	in	in	IN
14725	650	69	the	the	DT
14725	650	70	line	line	NN
14725	650	71	C_c	c_c	CD
14725	650	72	_	_	NNP
14725	650	73	will	will	MD
14725	650	74	touch	touch	VB
14725	650	75	the	the	DT
14725	650	76	same	same	JJ
14725	650	77	plane	plane	NN
14725	650	78	KI	KI	NNP
14725	650	79	in	in	IN
14725	650	80	the	the	DT
14725	650	81	line	line	NN
14725	650	82	I_i	i_i	CD
14725	650	83	_	_	NNP
14725	650	84	;	;	:
14725	650	85	all	all	PDT
14725	650	86	these	these	DT
14725	650	87	being	be	VBG
14725	650	88	similar	similar	JJ
14725	650	89	to	to	IN
14725	650	90	the	the	DT
14725	650	91	hemi	hemi	JJ
14725	650	92	-	-	HYPH
14725	650	93	spheroid	spheroid	NN
14725	650	94	QM_q	QM_q	NNP
14725	650	95	_	_	NNP
14725	650	96	.	.	.
14725	651	1	Since	since	IN
14725	651	2	then	then	RB
14725	651	3	the	the	DT
14725	651	4	parallelogram	parallelogram	NN
14725	651	5	K_i	k_i	CD
14725	651	6	_	_	NNP
14725	651	7	is	be	VBZ
14725	651	8	that	that	DT
14725	651	9	which	which	WDT
14725	651	10	touches	touch	VBZ
14725	651	11	all	all	PDT
14725	651	12	these	these	DT
14725	651	13	spheroids	spheroid	NNS
14725	651	14	,	,	,
14725	651	15	this	this	DT
14725	651	16	same	same	JJ
14725	651	17	parallelogram	parallelogram	NN
14725	651	18	will	will	MD
14725	651	19	be	be	VB
14725	651	20	precisely	precisely	RB
14725	651	21	the	the	DT
14725	651	22	continuation	continuation	NN
14725	651	23	of	of	IN
14725	651	24	the	the	DT
14725	651	25	wave	wave	NN
14725	651	26	CO_oc	CO_oc	NNP
14725	651	27	_	_	NNP
14725	651	28	in	in	IN
14725	651	29	the	the	DT
14725	651	30	crystal	crystal	NN
14725	651	31	,	,	,
14725	651	32	when	when	WRB
14725	651	33	O_o	o_o	CD
14725	651	34	_	_	NNP
14725	651	35	has	have	VBZ
14725	651	36	arrived	arrive	VBN
14725	651	37	at	at	IN
14725	651	38	K_k	k_k	CD
14725	651	39	_	_	NNP
14725	651	40	,	,	,
14725	651	41	because	because	IN
14725	651	42	it	-PRON-	PRP
14725	651	43	forms	form	VBZ
14725	651	44	the	the	DT
14725	651	45	termination	termination	NN
14725	651	46	of	of	IN
14725	651	47	the	the	DT
14725	651	48	movement	movement	NN
14725	651	49	and	and	CC
14725	651	50	because	because	IN
14725	651	51	of	of	IN
14725	651	52	the	the	DT
14725	651	53	quantity	quantity	NN
14725	651	54	of	of	IN
14725	651	55	movement	movement	NN
14725	651	56	which	which	WDT
14725	651	57	occurs	occur	VBZ
14725	651	58	more	more	RBR
14725	651	59	there	there	RB
14725	651	60	than	than	IN
14725	651	61	anywhere	anywhere	RB
14725	651	62	else	else	RB
14725	651	63	:	:	:
14725	651	64	and	and	CC
14725	651	65	thus	thus	RB
14725	651	66	it	-PRON-	PRP
14725	651	67	appears	appear	VBZ
14725	651	68	that	that	IN
14725	651	69	the	the	DT
14725	651	70	piece	piece	NN
14725	651	71	C	c	NN
14725	651	72	of	of	IN
14725	651	73	the	the	DT
14725	651	74	wave	wave	NN
14725	651	75	CO_oc	CO_oc	NNP
14725	651	76	_	_	NNP
14725	651	77	has	have	VBZ
14725	651	78	its	-PRON-	PRP$
14725	651	79	continuation	continuation	NN
14725	651	80	at	at	IN
14725	651	81	I	-PRON-	PRP
14725	651	82	;	;	:
14725	651	83	that	that	DT
14725	651	84	is	be	VBZ
14725	651	85	to	to	TO
14725	651	86	say	say	VB
14725	651	87	,	,	,
14725	651	88	that	that	IN
14725	651	89	the	the	DT
14725	651	90	ray	ray	NN
14725	651	91	RC	RC	NNP
14725	651	92	is	be	VBZ
14725	651	93	refracted	refract	VBN
14725	651	94	as	as	IN
14725	651	95	CI	CI	NNP
14725	651	96	.	.	.
14725	652	1	From	from	IN
14725	652	2	this	this	DT
14725	652	3	it	-PRON-	PRP
14725	652	4	is	be	VBZ
14725	652	5	to	to	TO
14725	652	6	be	be	VB
14725	652	7	noted	note	VBN
14725	652	8	that	that	IN
14725	652	9	the	the	DT
14725	652	10	proportion	proportion	NN
14725	652	11	of	of	IN
14725	652	12	the	the	DT
14725	652	13	refraction	refraction	NN
14725	652	14	for	for	IN
14725	652	15	this	this	DT
14725	652	16	section	section	NN
14725	652	17	of	of	IN
14725	652	18	the	the	DT
14725	652	19	crystal	crystal	NN
14725	652	20	is	be	VBZ
14725	652	21	that	that	DT
14725	652	22	of	of	IN
14725	652	23	the	the	DT
14725	652	24	line	line	NN
14725	652	25	N	n	CD
14725	652	26	to	to	IN
14725	652	27	the	the	DT
14725	652	28	semi	semi	JJ
14725	652	29	-	-	JJ
14725	652	30	diameter	diameter	JJ
14725	652	31	CQ	cq	NN
14725	652	32	;	;	:
14725	652	33	by	by	IN
14725	652	34	which	which	WDT
14725	652	35	one	one	NN
14725	652	36	will	will	MD
14725	652	37	easily	easily	RB
14725	652	38	find	find	VB
14725	652	39	the	the	DT
14725	652	40	refractions	refraction	NNS
14725	652	41	of	of	IN
14725	652	42	all	all	DT
14725	652	43	incident	incident	NN
14725	652	44	rays	ray	NNS
14725	652	45	,	,	,
14725	652	46	in	in	IN
14725	652	47	the	the	DT
14725	652	48	same	same	JJ
14725	652	49	way	way	NN
14725	652	50	as	as	IN
14725	652	51	we	-PRON-	PRP
14725	652	52	have	have	VBP
14725	652	53	shown	show	VBN
14725	652	54	previously	previously	RB
14725	652	55	for	for	IN
14725	652	56	the	the	DT
14725	652	57	case	case	NN
14725	652	58	of	of	IN
14725	652	59	the	the	DT
14725	652	60	section	section	NN
14725	652	61	through	through	IN
14725	652	62	FE	FE	NNP
14725	652	63	;	;	:
14725	652	64	and	and	CC
14725	652	65	the	the	DT
14725	652	66	demonstration	demonstration	NN
14725	652	67	will	will	MD
14725	652	68	be	be	VB
14725	652	69	the	the	DT
14725	652	70	same	same	JJ
14725	652	71	.	.	.
14725	653	1	But	but	CC
14725	653	2	it	-PRON-	PRP
14725	653	3	appears	appear	VBZ
14725	653	4	that	that	IN
14725	653	5	the	the	DT
14725	653	6	said	said	JJ
14725	653	7	proportion	proportion	NN
14725	653	8	of	of	IN
14725	653	9	the	the	DT
14725	653	10	refraction	refraction	NN
14725	653	11	is	be	VBZ
14725	653	12	less	less	JJR
14725	653	13	here	here	RB
14725	653	14	than	than	IN
14725	653	15	in	in	IN
14725	653	16	the	the	DT
14725	653	17	section	section	NN
14725	653	18	through	through	IN
14725	653	19	FEB	FEB	NNP
14725	653	20	;	;	:
14725	653	21	for	for	IN
14725	653	22	it	-PRON-	PRP
14725	653	23	was	be	VBD
14725	653	24	there	there	RB
14725	653	25	the	the	DT
14725	653	26	same	same	JJ
14725	653	27	as	as	IN
14725	653	28	the	the	DT
14725	653	29	ratio	ratio	NN
14725	653	30	of	of	IN
14725	653	31	N	n	NN
14725	653	32	to	to	IN
14725	653	33	CG	CG	NNP
14725	653	34	,	,	,
14725	653	35	that	that	DT
14725	653	36	is	be	VBZ
14725	653	37	to	to	TO
14725	653	38	say	say	VB
14725	653	39	,	,	,
14725	653	40	as	as	IN
14725	653	41	156,962	156,962	CD
14725	653	42	to	to	IN
14725	653	43	98,779	98,779	CD
14725	653	44	,	,	,
14725	653	45	very	very	RB
14725	653	46	nearly	nearly	RB
14725	653	47	as	as	IN
14725	653	48	8	8	CD
14725	653	49	to	to	IN
14725	653	50	5	5	CD
14725	653	51	;	;	:
14725	653	52	and	and	CC
14725	653	53	here	here	RB
14725	653	54	it	-PRON-	PRP
14725	653	55	is	be	VBZ
14725	653	56	the	the	DT
14725	653	57	ratio	ratio	NN
14725	653	58	of	of	IN
14725	653	59	N	n	NN
14725	653	60	to	to	IN
14725	653	61	CQ	CQ	NNP
14725	653	62	the	the	DT
14725	653	63	major	major	JJ
14725	653	64	semi	semi	JJ
14725	653	65	-	-	JJ
14725	653	66	diameter	diameter	NN
14725	653	67	of	of	IN
14725	653	68	the	the	DT
14725	653	69	spheroid	spheroid	NN
14725	653	70	,	,	,
14725	653	71	that	that	DT
14725	653	72	is	be	VBZ
14725	653	73	to	to	TO
14725	653	74	say	say	VB
14725	653	75	,	,	,
14725	653	76	as	as	IN
14725	653	77	156,962	156,962	CD
14725	653	78	to	to	IN
14725	653	79	105,032	105,032	CD
14725	653	80	,	,	,
14725	653	81	very	very	RB
14725	653	82	nearly	nearly	RB
14725	653	83	as	as	IN
14725	653	84	3	3	CD
14725	653	85	to	to	IN
14725	653	86	2	2	CD
14725	653	87	,	,	,
14725	653	88	but	but	CC
14725	653	89	just	just	RB
14725	653	90	a	a	DT
14725	653	91	little	little	JJ
14725	653	92	less	less	JJR
14725	653	93	.	.	.
14725	654	1	Which	which	WDT
14725	654	2	still	still	RB
14725	654	3	agrees	agree	VBZ
14725	654	4	perfectly	perfectly	RB
14725	654	5	with	with	IN
14725	654	6	what	what	WP
14725	654	7	one	one	CD
14725	654	8	finds	find	VBZ
14725	654	9	by	by	IN
14725	654	10	observation	observation	NN
14725	654	11	.	.	.
14725	655	1	39	39	CD
14725	655	2	.	.	.
14725	656	1	For	for	IN
14725	656	2	the	the	DT
14725	656	3	rest	rest	NN
14725	656	4	,	,	,
14725	656	5	this	this	DT
14725	656	6	diversity	diversity	NN
14725	656	7	of	of	IN
14725	656	8	proportion	proportion	NN
14725	656	9	of	of	IN
14725	656	10	refraction	refraction	NN
14725	656	11	produces	produce	VBZ
14725	656	12	a	a	DT
14725	656	13	very	very	RB
14725	656	14	singular	singular	JJ
14725	656	15	effect	effect	NN
14725	656	16	in	in	IN
14725	656	17	this	this	DT
14725	656	18	Crystal	Crystal	NNP
14725	656	19	;	;	:
14725	656	20	which	which	WDT
14725	656	21	is	be	VBZ
14725	656	22	that	that	IN
14725	656	23	when	when	WRB
14725	656	24	it	-PRON-	PRP
14725	656	25	is	be	VBZ
14725	656	26	placed	place	VBN
14725	656	27	upon	upon	IN
14725	656	28	a	a	DT
14725	656	29	sheet	sheet	NN
14725	656	30	of	of	IN
14725	656	31	paper	paper	NN
14725	656	32	on	on	IN
14725	656	33	which	which	WDT
14725	656	34	there	there	EX
14725	656	35	are	be	VBP
14725	656	36	letters	letter	NNS
14725	656	37	or	or	CC
14725	656	38	anything	anything	NN
14725	656	39	else	else	RB
14725	656	40	marked	mark	VBN
14725	656	41	,	,	,
14725	656	42	if	if	IN
14725	656	43	one	one	CD
14725	656	44	views	view	VBZ
14725	656	45	it	-PRON-	PRP
14725	656	46	from	from	IN
14725	656	47	above	above	RB
14725	656	48	with	with	IN
14725	656	49	the	the	DT
14725	656	50	two	two	CD
14725	656	51	eyes	eye	NNS
14725	656	52	situated	situate	VBN
14725	656	53	in	in	IN
14725	656	54	the	the	DT
14725	656	55	plane	plane	NN
14725	656	56	of	of	IN
14725	656	57	the	the	DT
14725	656	58	section	section	NN
14725	656	59	through	through	IN
14725	656	60	EF	EF	NNP
14725	656	61	,	,	,
14725	656	62	one	one	PRP
14725	656	63	sees	see	VBZ
14725	656	64	the	the	DT
14725	656	65	letters	letter	NNS
14725	656	66	raised	raise	VBN
14725	656	67	up	up	RP
14725	656	68	by	by	IN
14725	656	69	this	this	DT
14725	656	70	irregular	irregular	JJ
14725	656	71	refraction	refraction	NN
14725	656	72	more	more	JJR
14725	656	73	than	than	IN
14725	656	74	when	when	WRB
14725	656	75	one	one	PRP
14725	656	76	puts	put	VBZ
14725	656	77	one	one	PRP
14725	656	78	's	's	POS
14725	656	79	eyes	eye	NNS
14725	656	80	in	in	IN
14725	656	81	the	the	DT
14725	656	82	plane	plane	NN
14725	656	83	of	of	IN
14725	656	84	section	section	NN
14725	656	85	through	through	IN
14725	656	86	AH	ah	NN
14725	656	87	:	:	:
14725	656	88	and	and	CC
14725	656	89	the	the	DT
14725	656	90	difference	difference	NN
14725	656	91	of	of	IN
14725	656	92	these	these	DT
14725	656	93	elevations	elevation	NNS
14725	656	94	appears	appear	VBZ
14725	656	95	by	by	IN
14725	656	96	comparison	comparison	NN
14725	656	97	with	with	IN
14725	656	98	the	the	DT
14725	656	99	other	other	JJ
14725	656	100	ordinary	ordinary	JJ
14725	656	101	refraction	refraction	NN
14725	656	102	of	of	IN
14725	656	103	the	the	DT
14725	656	104	crystal	crystal	NN
14725	656	105	,	,	,
14725	656	106	the	the	DT
14725	656	107	proportion	proportion	NN
14725	656	108	of	of	IN
14725	656	109	which	which	WDT
14725	656	110	is	be	VBZ
14725	656	111	as	as	IN
14725	656	112	5	5	CD
14725	656	113	to	to	IN
14725	656	114	3	3	CD
14725	656	115	,	,	,
14725	656	116	and	and	CC
14725	656	117	which	which	WDT
14725	656	118	always	always	RB
14725	656	119	raises	raise	VBZ
14725	656	120	the	the	DT
14725	656	121	letters	letter	NNS
14725	656	122	equally	equally	RB
14725	656	123	,	,	,
14725	656	124	and	and	CC
14725	656	125	higher	high	JJR
14725	656	126	than	than	IN
14725	656	127	the	the	DT
14725	656	128	irregular	irregular	JJ
14725	656	129	refraction	refraction	NN
14725	656	130	does	do	VBZ
14725	656	131	.	.	.
14725	657	1	For	for	IN
14725	657	2	one	one	PRP
14725	657	3	sees	see	VBZ
14725	657	4	the	the	DT
14725	657	5	letters	letter	NNS
14725	657	6	and	and	CC
14725	657	7	the	the	DT
14725	657	8	paper	paper	NN
14725	657	9	on	on	IN
14725	657	10	which	which	WDT
14725	657	11	they	-PRON-	PRP
14725	657	12	are	be	VBP
14725	657	13	written	write	VBN
14725	657	14	,	,	,
14725	657	15	as	as	IN
14725	657	16	on	on	IN
14725	657	17	two	two	CD
14725	657	18	different	different	JJ
14725	657	19	stages	stage	NNS
14725	657	20	at	at	IN
14725	657	21	the	the	DT
14725	657	22	same	same	JJ
14725	657	23	time	time	NN
14725	657	24	;	;	:
14725	657	25	and	and	CC
14725	657	26	in	in	IN
14725	657	27	the	the	DT
14725	657	28	first	first	JJ
14725	657	29	position	position	NN
14725	657	30	of	of	IN
14725	657	31	the	the	DT
14725	657	32	eyes	eye	NNS
14725	657	33	,	,	,
14725	657	34	namely	namely	RB
14725	657	35	,	,	,
14725	657	36	when	when	WRB
14725	657	37	they	-PRON-	PRP
14725	657	38	are	be	VBP
14725	657	39	in	in	IN
14725	657	40	the	the	DT
14725	657	41	plane	plane	NN
14725	657	42	through	through	IN
14725	657	43	AH	AH	NNP
14725	657	44	these	these	DT
14725	657	45	two	two	CD
14725	657	46	stages	stage	NNS
14725	657	47	are	be	VBP
14725	657	48	four	four	CD
14725	657	49	times	time	NNS
14725	657	50	more	more	RBR
14725	657	51	distant	distant	JJ
14725	657	52	from	from	IN
14725	657	53	one	one	CD
14725	657	54	another	another	DT
14725	657	55	than	than	IN
14725	657	56	when	when	WRB
14725	657	57	the	the	DT
14725	657	58	eyes	eye	NNS
14725	657	59	are	be	VBP
14725	657	60	in	in	IN
14725	657	61	the	the	DT
14725	657	62	plane	plane	NN
14725	657	63	through	through	IN
14725	657	64	EF	EF	NNP
14725	657	65	.	.	.
14725	658	1	We	-PRON-	PRP
14725	658	2	will	will	MD
14725	658	3	show	show	VB
14725	658	4	that	that	IN
14725	658	5	this	this	DT
14725	658	6	effect	effect	NN
14725	658	7	follows	follow	VBZ
14725	658	8	from	from	IN
14725	658	9	the	the	DT
14725	658	10	refractions	refraction	NNS
14725	658	11	;	;	:
14725	658	12	and	and	CC
14725	658	13	it	-PRON-	PRP
14725	658	14	will	will	MD
14725	658	15	enable	enable	VB
14725	658	16	us	-PRON-	PRP
14725	658	17	at	at	IN
14725	658	18	the	the	DT
14725	658	19	same	same	JJ
14725	658	20	time	time	NN
14725	658	21	to	to	TO
14725	658	22	ascertain	ascertain	VB
14725	658	23	the	the	DT
14725	658	24	apparent	apparent	JJ
14725	658	25	place	place	NN
14725	658	26	of	of	IN
14725	658	27	a	a	DT
14725	658	28	point	point	NN
14725	658	29	of	of	IN
14725	658	30	an	an	DT
14725	658	31	object	object	NN
14725	658	32	placed	place	VBN
14725	658	33	immediately	immediately	RB
14725	658	34	under	under	IN
14725	658	35	the	the	DT
14725	658	36	crystal	crystal	NN
14725	658	37	,	,	,
14725	658	38	according	accord	VBG
14725	658	39	to	to	IN
14725	658	40	the	the	DT
14725	658	41	different	different	JJ
14725	658	42	situation	situation	NN
14725	658	43	of	of	IN
14725	658	44	the	the	DT
14725	658	45	eyes	eye	NNS
14725	658	46	.	.	.
14725	659	1	40	40	CD
14725	659	2	.	.	.
14725	660	1	Let	let	VB
14725	660	2	us	-PRON-	PRP
14725	660	3	see	see	VB
14725	660	4	first	first	RB
14725	660	5	by	by	IN
14725	660	6	how	how	WRB
14725	660	7	much	much	JJ
14725	660	8	the	the	DT
14725	660	9	irregular	irregular	JJ
14725	660	10	refraction	refraction	NN
14725	660	11	of	of	IN
14725	660	12	the	the	DT
14725	660	13	plane	plane	NN
14725	660	14	through	through	IN
14725	660	15	AH	AH	NNP
14725	660	16	ought	ought	MD
14725	660	17	to	to	TO
14725	660	18	lift	lift	VB
14725	660	19	the	the	DT
14725	660	20	bottom	bottom	NN
14725	660	21	of	of	IN
14725	660	22	the	the	DT
14725	660	23	crystal	crystal	NN
14725	660	24	.	.	.
14725	661	1	Let	let	VB
14725	661	2	the	the	DT
14725	661	3	plane	plane	NN
14725	661	4	of	of	IN
14725	661	5	this	this	DT
14725	661	6	figure	figure	NN
14725	661	7	represent	represent	VBP
14725	661	8	separately	separately	RB
14725	661	9	the	the	DT
14725	661	10	section	section	NN
14725	661	11	through	through	IN
14725	661	12	Q_q	q_q	CD
14725	661	13	_	_	NNP
14725	661	14	and	and	CC
14725	661	15	CL	CL	NNP
14725	661	16	,	,	,
14725	661	17	in	in	IN
14725	661	18	which	which	WDT
14725	661	19	section	section	NN
14725	661	20	there	there	EX
14725	661	21	is	be	VBZ
14725	661	22	also	also	RB
14725	661	23	the	the	DT
14725	661	24	ray	ray	NN
14725	661	25	RC	rc	NN
14725	661	26	,	,	,
14725	661	27	and	and	CC
14725	661	28	let	let	VB
14725	661	29	the	the	DT
14725	661	30	semi	semi	JJ
14725	661	31	-	-	JJ
14725	661	32	elliptic	elliptic	JJ
14725	661	33	plane	plane	NN
14725	661	34	through	through	IN
14725	661	35	Q_q	q_q	CD
14725	661	36	_	_	NNP
14725	661	37	and	and	CC
14725	661	38	CM	CM	NNP
14725	661	39	be	be	VB
14725	661	40	inclined	inclined	JJ
14725	661	41	to	to	IN
14725	661	42	the	the	DT
14725	661	43	former	former	JJ
14725	661	44	,	,	,
14725	661	45	as	as	RB
14725	661	46	previously	previously	RB
14725	661	47	,	,	,
14725	661	48	by	by	IN
14725	661	49	an	an	DT
14725	661	50	angle	angle	NN
14725	661	51	of	of	IN
14725	661	52	6	6	CD
14725	661	53	degrees	degree	NNS
14725	661	54	40	40	CD
14725	661	55	minutes	minute	NNS
14725	661	56	;	;	:
14725	661	57	and	and	CC
14725	661	58	in	in	IN
14725	661	59	this	this	DT
14725	661	60	plane	plane	NN
14725	661	61	CI	ci	NN
14725	661	62	is	be	VBZ
14725	661	63	then	then	RB
14725	661	64	the	the	DT
14725	661	65	refraction	refraction	NN
14725	661	66	of	of	IN
14725	661	67	the	the	DT
14725	661	68	ray	ray	NN
14725	661	69	RC	RC	NNP
14725	661	70	.	.	.
14725	662	1	[	[	-LRB-
14725	662	2	Illustration	illustration	NN
14725	662	3	]	]	-RRB-
14725	662	4	If	if	IN
14725	662	5	now	now	RB
14725	662	6	one	one	CD
14725	662	7	considers	consider	VBZ
14725	662	8	the	the	DT
14725	662	9	point	point	NN
14725	662	10	I	-PRON-	PRP
14725	662	11	as	as	IN
14725	662	12	at	at	IN
14725	662	13	the	the	DT
14725	662	14	bottom	bottom	NN
14725	662	15	of	of	IN
14725	662	16	the	the	DT
14725	662	17	crystal	crystal	NN
14725	662	18	,	,	,
14725	662	19	and	and	CC
14725	662	20	that	that	IN
14725	662	21	it	-PRON-	PRP
14725	662	22	is	be	VBZ
14725	662	23	viewed	view	VBN
14725	662	24	by	by	IN
14725	662	25	the	the	DT
14725	662	26	rays	ray	NNS
14725	662	27	ICR	ICR	NNP
14725	662	28	,	,	,
14725	662	29	_	_	NNP
14725	662	30	Icr	Icr	NNP
14725	662	31	_	_	NNP
14725	662	32	,	,	,
14725	662	33	refracted	refract	VBN
14725	662	34	equally	equally	RB
14725	662	35	at	at	IN
14725	662	36	the	the	DT
14725	662	37	points	point	NNS
14725	662	38	C_c	c_c	CD
14725	662	39	_	_	NNP
14725	662	40	,	,	,
14725	662	41	which	which	WDT
14725	662	42	should	should	MD
14725	662	43	be	be	VB
14725	662	44	equally	equally	RB
14725	662	45	distant	distant	JJ
14725	662	46	from	from	IN
14725	662	47	D	d	NN
14725	662	48	,	,	,
14725	662	49	and	and	CC
14725	662	50	that	that	IN
14725	662	51	these	these	DT
14725	662	52	rays	ray	NNS
14725	662	53	meet	meet	VBP
14725	662	54	the	the	DT
14725	662	55	two	two	CD
14725	662	56	eyes	eye	NNS
14725	662	57	at	at	IN
14725	662	58	R_r	r_r	CD
14725	662	59	_	_	NN
14725	662	60	;	;	:
14725	662	61	it	-PRON-	PRP
14725	662	62	is	be	VBZ
14725	662	63	certain	certain	JJ
14725	662	64	that	that	IN
14725	662	65	the	the	DT
14725	662	66	point	point	NN
14725	662	67	I	-PRON-	PRP
14725	662	68	will	will	MD
14725	662	69	appear	appear	VB
14725	662	70	raised	raise	VBN
14725	662	71	to	to	IN
14725	662	72	S	S	NNP
14725	662	73	where	where	WRB
14725	662	74	the	the	DT
14725	662	75	straight	straight	JJ
14725	662	76	lines	line	NNS
14725	662	77	RC	RC	NNP
14725	662	78	,	,	,
14725	662	79	_	_	NNP
14725	662	80	rc	rc	NNP
14725	662	81	_	_	NNP
14725	662	82	,	,	,
14725	662	83	meet	meet	VB
14725	662	84	;	;	,
14725	662	85	which	which	WDT
14725	662	86	point	point	NN
14725	662	87	S	S	NNP
14725	662	88	is	be	VBZ
14725	662	89	in	in	IN
14725	662	90	DP	DP	NNP
14725	662	91	,	,	,
14725	662	92	perpendicular	perpendicular	JJ
14725	662	93	to	to	IN
14725	662	94	Q_q	q_q	CD
14725	662	95	_	_	NNP
14725	662	96	.	.	.
14725	663	1	And	and	CC
14725	663	2	if	if	IN
14725	663	3	upon	upon	IN
14725	663	4	DP	DP	NNP
14725	663	5	there	there	EX
14725	663	6	is	be	VBZ
14725	663	7	drawn	draw	VBN
14725	663	8	the	the	DT
14725	663	9	perpendicular	perpendicular	JJ
14725	663	10	IP	IP	NNP
14725	663	11	,	,	,
14725	663	12	which	which	WDT
14725	663	13	will	will	MD
14725	663	14	lie	lie	VB
14725	663	15	at	at	IN
14725	663	16	the	the	DT
14725	663	17	bottom	bottom	NN
14725	663	18	of	of	IN
14725	663	19	the	the	DT
14725	663	20	crystal	crystal	NN
14725	663	21	,	,	,
14725	663	22	the	the	DT
14725	663	23	length	length	NN
14725	663	24	SP	SP	NNP
14725	663	25	will	will	MD
14725	663	26	be	be	VB
14725	663	27	the	the	DT
14725	663	28	apparent	apparent	JJ
14725	663	29	elevation	elevation	NN
14725	663	30	of	of	IN
14725	663	31	the	the	DT
14725	663	32	point	point	NN
14725	663	33	I	-PRON-	PRP
14725	663	34	above	above	IN
14725	663	35	the	the	DT
14725	663	36	bottom	bottom	NN
14725	663	37	.	.	.
14725	664	1	Let	let	VB
14725	664	2	there	there	EX
14725	664	3	be	be	VB
14725	664	4	described	describe	VBN
14725	664	5	on	on	IN
14725	664	6	Q_q	q_q	CD
14725	664	7	_	_	NNP
14725	664	8	a	a	DT
14725	664	9	semicircle	semicircle	NN
14725	664	10	cutting	cut	VBG
14725	664	11	the	the	DT
14725	664	12	ray	ray	NN
14725	664	13	CR	CR	NNP
14725	664	14	at	at	IN
14725	664	15	B	B	NNP
14725	664	16	,	,	,
14725	664	17	from	from	IN
14725	664	18	which	which	WDT
14725	664	19	BV	BV	NNP
14725	664	20	is	be	VBZ
14725	664	21	drawn	draw	VBN
14725	664	22	perpendicular	perpendicular	JJ
14725	664	23	to	to	IN
14725	664	24	Q_q	q_q	CD
14725	664	25	_	_	NNP
14725	664	26	;	;	:
14725	664	27	and	and	CC
14725	664	28	let	let	VB
14725	664	29	the	the	DT
14725	664	30	proportion	proportion	NN
14725	664	31	of	of	IN
14725	664	32	the	the	DT
14725	664	33	refraction	refraction	NN
14725	664	34	for	for	IN
14725	664	35	this	this	DT
14725	664	36	section	section	NN
14725	664	37	be	be	VB
14725	664	38	,	,	,
14725	664	39	as	as	IN
14725	664	40	before	before	RB
14725	664	41	,	,	,
14725	664	42	that	that	DT
14725	664	43	of	of	IN
14725	664	44	the	the	DT
14725	664	45	line	line	NN
14725	664	46	N	n	CD
14725	664	47	to	to	IN
14725	664	48	the	the	DT
14725	664	49	semi	semi	JJ
14725	664	50	-	-	JJ
14725	664	51	diameter	diameter	JJ
14725	664	52	CQ	cq	NN
14725	664	53	.	.	.
14725	665	1	Then	then	RB
14725	665	2	as	as	IN
14725	665	3	N	n	NN
14725	665	4	is	be	VBZ
14725	665	5	to	to	IN
14725	665	6	CQ	CQ	NNP
14725	665	7	so	so	RB
14725	665	8	is	be	VBZ
14725	665	9	VC	VC	NNP
14725	665	10	to	to	IN
14725	665	11	CD	CD	NNP
14725	665	12	,	,	,
14725	665	13	as	as	IN
14725	665	14	appears	appear	VBZ
14725	665	15	by	by	IN
14725	665	16	the	the	DT
14725	665	17	method	method	NN
14725	665	18	of	of	IN
14725	665	19	finding	find	VBG
14725	665	20	the	the	DT
14725	665	21	refraction	refraction	NN
14725	665	22	which	which	WDT
14725	665	23	we	-PRON-	PRP
14725	665	24	have	have	VBP
14725	665	25	shown	show	VBN
14725	665	26	above	above	IN
14725	665	27	,	,	,
14725	665	28	Article	article	NN
14725	665	29	31	31	CD
14725	665	30	;	;	:
14725	665	31	but	but	CC
14725	665	32	as	as	IN
14725	665	33	VC	VC	NNP
14725	665	34	is	be	VBZ
14725	665	35	to	to	IN
14725	665	36	CD	CD	NNP
14725	665	37	,	,	,
14725	665	38	so	so	RB
14725	665	39	is	be	VBZ
14725	665	40	VB	VB	NNP
14725	665	41	to	to	IN
14725	665	42	DS	DS	NNP
14725	665	43	.	.	.
14725	666	1	Then	then	RB
14725	666	2	as	as	IN
14725	666	3	N	n	NN
14725	666	4	is	be	VBZ
14725	666	5	to	to	IN
14725	666	6	CQ	CQ	NNP
14725	666	7	,	,	,
14725	666	8	so	so	RB
14725	666	9	is	be	VBZ
14725	666	10	VB	VB	NNP
14725	666	11	to	to	IN
14725	666	12	DS	DS	NNP
14725	666	13	.	.	.
14725	667	1	Let	let	VB
14725	667	2	ML	ML	NNP
14725	667	3	be	be	VB
14725	667	4	perpendicular	perpendicular	JJ
14725	667	5	to	to	IN
14725	667	6	CL	CL	NNP
14725	667	7	.	.	.
14725	668	1	And	and	CC
14725	668	2	because	because	IN
14725	668	3	I	-PRON-	PRP
14725	668	4	suppose	suppose	VBP
14725	668	5	the	the	DT
14725	668	6	eyes	eye	NNS
14725	668	7	R_r	r_r	CD
14725	668	8	_	_	NN
14725	668	9	to	to	TO
14725	668	10	be	be	VB
14725	668	11	distant	distant	JJ
14725	668	12	about	about	IN
14725	668	13	a	a	DT
14725	668	14	foot	foot	NN
14725	668	15	or	or	CC
14725	668	16	so	so	RB
14725	668	17	from	from	IN
14725	668	18	the	the	DT
14725	668	19	crystal	crystal	NN
14725	668	20	,	,	,
14725	668	21	and	and	CC
14725	668	22	consequently	consequently	RB
14725	668	23	the	the	DT
14725	668	24	angle	angle	NN
14725	668	25	RS_r	RS_r	NNS
14725	668	26	_	_	NNP
14725	668	27	very	very	RB
14725	668	28	small	small	JJ
14725	668	29	,	,	,
14725	668	30	VB	VB	NNP
14725	668	31	may	may	MD
14725	668	32	be	be	VB
14725	668	33	considered	consider	VBN
14725	668	34	as	as	RB
14725	668	35	equal	equal	JJ
14725	668	36	to	to	IN
14725	668	37	the	the	DT
14725	668	38	semi	semi	JJ
14725	668	39	-	-	JJ
14725	668	40	diameter	diameter	JJ
14725	668	41	CQ	CQ	NNP
14725	668	42	,	,	,
14725	668	43	and	and	CC
14725	668	44	DP	DP	NNP
14725	668	45	as	as	RB
14725	668	46	equal	equal	JJ
14725	668	47	to	to	IN
14725	668	48	CL	CL	NNP
14725	668	49	;	;	:
14725	668	50	then	then	RB
14725	668	51	as	as	IN
14725	668	52	N	n	NN
14725	668	53	is	be	VBZ
14725	668	54	to	to	IN
14725	668	55	CQ	CQ	NNP
14725	668	56	so	so	RB
14725	668	57	is	be	VBZ
14725	668	58	CQ	CQ	NNP
14725	668	59	to	to	IN
14725	668	60	DS	DS	NNP
14725	668	61	.	.	.
14725	669	1	But	but	CC
14725	669	2	N	N	NNP
14725	669	3	is	be	VBZ
14725	669	4	valued	value	VBN
14725	669	5	at	at	IN
14725	669	6	156,962	156,962	CD
14725	669	7	parts	part	NNS
14725	669	8	,	,	,
14725	669	9	of	of	IN
14725	669	10	which	which	WDT
14725	669	11	CM	CM	NNP
14725	669	12	contains	contain	VBZ
14725	669	13	100,000	100,000	CD
14725	669	14	and	and	CC
14725	669	15	CQ	CQ	NNP
14725	669	16	105,032	105,032	CD
14725	669	17	.	.	.
14725	670	1	Then	then	RB
14725	670	2	DS	DS	NNP
14725	670	3	will	will	MD
14725	670	4	have	have	VB
14725	670	5	70,283	70,283	CD
14725	670	6	.	.	.
14725	671	1	But	but	CC
14725	671	2	CL	CL	NNP
14725	671	3	is	be	VBZ
14725	671	4	99,324	99,324	CD
14725	671	5	,	,	,
14725	671	6	being	be	VBG
14725	671	7	the	the	DT
14725	671	8	sine	sine	NN
14725	671	9	of	of	IN
14725	671	10	the	the	DT
14725	671	11	complement	complement	NN
14725	671	12	of	of	IN
14725	671	13	the	the	DT
14725	671	14	angle	angle	NN
14725	671	15	MCL	MCL	NNP
14725	671	16	which	which	WDT
14725	671	17	is	be	VBZ
14725	671	18	6	6	CD
14725	671	19	degrees	degree	NNS
14725	671	20	40	40	CD
14725	671	21	minutes	minute	NNS
14725	671	22	;	;	:
14725	671	23	CM	CM	NNP
14725	671	24	being	be	VBG
14725	671	25	supposed	suppose	VBN
14725	671	26	as	as	IN
14725	671	27	radius	radius	NN
14725	671	28	.	.	.
14725	672	1	Then	then	RB
14725	672	2	DP	DP	NNP
14725	672	3	,	,	,
14725	672	4	considered	consider	VBN
14725	672	5	as	as	RB
14725	672	6	equal	equal	JJ
14725	672	7	to	to	IN
14725	672	8	CL	CL	NNP
14725	672	9	,	,	,
14725	672	10	will	will	MD
14725	672	11	be	be	VB
14725	672	12	to	to	IN
14725	672	13	DS	DS	NNP
14725	672	14	as	as	IN
14725	672	15	99,324	99,324	CD
14725	672	16	to	to	IN
14725	672	17	70,283	70,283	CD
14725	672	18	.	.	.
14725	673	1	And	and	CC
14725	673	2	so	so	RB
14725	673	3	the	the	DT
14725	673	4	elevation	elevation	NN
14725	673	5	of	of	IN
14725	673	6	the	the	DT
14725	673	7	point	point	NN
14725	673	8	I	-PRON-	PRP
14725	673	9	by	by	IN
14725	673	10	the	the	DT
14725	673	11	refraction	refraction	NN
14725	673	12	of	of	IN
14725	673	13	this	this	DT
14725	673	14	section	section	NN
14725	673	15	is	be	VBZ
14725	673	16	known	know	VBN
14725	673	17	.	.	.
14725	674	1	[	[	-LRB-
14725	674	2	Illustration	illustration	NN
14725	674	3	]	]	-RRB-
14725	674	4	41	41	CD
14725	674	5	.	.	.
14725	675	1	Now	now	RB
14725	675	2	let	let	VB
14725	675	3	there	there	EX
14725	675	4	be	be	VB
14725	675	5	represented	represent	VBN
14725	675	6	the	the	DT
14725	675	7	other	other	JJ
14725	675	8	section	section	NN
14725	675	9	through	through	IN
14725	675	10	EF	EF	NNP
14725	675	11	in	in	IN
14725	675	12	the	the	DT
14725	675	13	figure	figure	NN
14725	675	14	before	before	IN
14725	675	15	the	the	DT
14725	675	16	preceding	precede	VBG
14725	675	17	one	one	CD
14725	675	18	;	;	:
14725	675	19	and	and	CC
14725	675	20	let	let	VB
14725	675	21	CM_g	CM_g	NNP
14725	675	22	_	_	NNP
14725	675	23	be	be	VB
14725	675	24	the	the	DT
14725	675	25	semi	semi	JJ
14725	675	26	-	-	NN
14725	675	27	ellipse	ellipse	NN
14725	675	28	,	,	,
14725	675	29	considered	consider	VBN
14725	675	30	in	in	IN
14725	675	31	Articles	Articles	NNP
14725	675	32	27	27	CD
14725	675	33	and	and	CC
14725	675	34	28	28	CD
14725	675	35	,	,	,
14725	675	36	which	which	WDT
14725	675	37	is	be	VBZ
14725	675	38	made	make	VBN
14725	675	39	by	by	IN
14725	675	40	cutting	cut	VBG
14725	675	41	a	a	DT
14725	675	42	spheroidal	spheroidal	JJ
14725	675	43	wave	wave	NN
14725	675	44	having	have	VBG
14725	675	45	centre	centre	NN
14725	675	46	C.	C.	NNP
14725	675	47	Let	let	VB
14725	675	48	the	the	DT
14725	675	49	point	point	NN
14725	675	50	I	-PRON-	PRP
14725	675	51	,	,	,
14725	675	52	taken	take	VBN
14725	675	53	in	in	IN
14725	675	54	this	this	DT
14725	675	55	ellipse	ellipse	NN
14725	675	56	,	,	,
14725	675	57	be	be	VB
14725	675	58	imagined	imagine	VBN
14725	675	59	again	again	RB
14725	675	60	at	at	IN
14725	675	61	the	the	DT
14725	675	62	bottom	bottom	NN
14725	675	63	of	of	IN
14725	675	64	the	the	DT
14725	675	65	Crystal	Crystal	NNP
14725	675	66	;	;	:
14725	675	67	and	and	CC
14725	675	68	let	let	VB
14725	675	69	it	-PRON-	PRP
14725	675	70	be	be	VB
14725	675	71	viewed	view	VBN
14725	675	72	by	by	IN
14725	675	73	the	the	DT
14725	675	74	refracted	refract	VBN
14725	675	75	rays	ray	NNS
14725	675	76	ICR	ICR	NNP
14725	675	77	,	,	,
14725	675	78	I_cr	I_cr	NNP
14725	675	79	_	_	NNP
14725	675	80	,	,	,
14725	675	81	which	which	WDT
14725	675	82	go	go	VBP
14725	675	83	to	to	IN
14725	675	84	the	the	DT
14725	675	85	two	two	CD
14725	675	86	eyes	eye	NNS
14725	675	87	;	;	:
14725	675	88	CR	CR	NNP
14725	675	89	and	and	CC
14725	675	90	_	_	NNP
14725	675	91	cr	cr	NNP
14725	675	92	_	_	NNP
14725	675	93	being	be	VBG
14725	675	94	equally	equally	RB
14725	675	95	inclined	inclined	JJ
14725	675	96	to	to	IN
14725	675	97	the	the	DT
14725	675	98	surface	surface	NN
14725	675	99	of	of	IN
14725	675	100	the	the	DT
14725	675	101	crystal	crystal	NN
14725	675	102	G_g	g_g	CD
14725	675	103	_	_	NNP
14725	675	104	.	.	.
14725	676	1	This	this	DT
14725	676	2	being	be	VBG
14725	676	3	so	so	RB
14725	676	4	,	,	,
14725	676	5	if	if	IN
14725	676	6	one	one	CD
14725	676	7	draws	draw	VBZ
14725	676	8	ID	ID	NNP
14725	676	9	parallel	parallel	NN
14725	676	10	to	to	IN
14725	676	11	CM	CM	NNP
14725	676	12	,	,	,
14725	676	13	which	which	WDT
14725	676	14	I	-PRON-	PRP
14725	676	15	suppose	suppose	VBP
14725	676	16	to	to	TO
14725	676	17	be	be	VB
14725	676	18	the	the	DT
14725	676	19	refraction	refraction	NN
14725	676	20	of	of	IN
14725	676	21	the	the	DT
14725	676	22	perpendicular	perpendicular	JJ
14725	676	23	ray	ray	NN
14725	676	24	incident	incident	NN
14725	676	25	at	at	IN
14725	676	26	the	the	DT
14725	676	27	point	point	NN
14725	676	28	C	C	NNP
14725	676	29	,	,	,
14725	676	30	the	the	DT
14725	676	31	distances	distance	NNS
14725	676	32	DC	DC	NNP
14725	676	33	,	,	,
14725	676	34	D_c	d_c	CD
14725	676	35	_	_	NNP
14725	676	36	,	,	,
14725	676	37	will	will	MD
14725	676	38	be	be	VB
14725	676	39	equal	equal	JJ
14725	676	40	,	,	,
14725	676	41	as	as	IN
14725	676	42	is	be	VBZ
14725	676	43	easy	easy	JJ
14725	676	44	to	to	TO
14725	676	45	see	see	VB
14725	676	46	by	by	IN
14725	676	47	that	that	DT
14725	676	48	which	which	WDT
14725	676	49	has	have	VBZ
14725	676	50	been	be	VBN
14725	676	51	demonstrated	demonstrate	VBN
14725	676	52	in	in	IN
14725	676	53	Article	Article	NNP
14725	676	54	28	28	CD
14725	676	55	.	.	.
14725	677	1	Now	now	RB
14725	677	2	it	-PRON-	PRP
14725	677	3	is	be	VBZ
14725	677	4	certain	certain	JJ
14725	677	5	that	that	IN
14725	677	6	the	the	DT
14725	677	7	point	point	NN
14725	677	8	I	-PRON-	PRP
14725	677	9	should	should	MD
14725	677	10	appear	appear	VB
14725	677	11	at	at	IN
14725	677	12	S	S	NNP
14725	677	13	where	where	WRB
14725	677	14	the	the	DT
14725	677	15	straight	straight	JJ
14725	677	16	lines	line	NNS
14725	677	17	RC	RC	NNP
14725	677	18	,	,	,
14725	677	19	_	_	NNP
14725	677	20	rc	rc	NNP
14725	677	21	_	_	NNP
14725	677	22	,	,	,
14725	677	23	meet	meet	VBP
14725	677	24	when	when	WRB
14725	677	25	prolonged	prolonged	JJ
14725	677	26	;	;	:
14725	677	27	and	and	CC
14725	677	28	that	that	IN
14725	677	29	this	this	DT
14725	677	30	point	point	NN
14725	677	31	will	will	MD
14725	677	32	fall	fall	VB
14725	677	33	in	in	IN
14725	677	34	the	the	DT
14725	677	35	line	line	NN
14725	677	36	DP	DP	NNP
14725	677	37	perpendicular	perpendicular	JJ
14725	677	38	to	to	IN
14725	677	39	G_g	g_g	CD
14725	677	40	_	_	NNP
14725	677	41	.	.	.
14725	678	1	If	if	IN
14725	678	2	one	one	PRP
14725	678	3	draws	draw	VBZ
14725	678	4	IP	IP	NNP
14725	678	5	perpendicular	perpendicular	JJ
14725	678	6	to	to	IN
14725	678	7	this	this	DT
14725	678	8	DP	DP	NNP
14725	678	9	,	,	,
14725	678	10	it	-PRON-	PRP
14725	678	11	will	will	MD
14725	678	12	be	be	VB
14725	678	13	the	the	DT
14725	678	14	distance	distance	NN
14725	678	15	PS	PS	NNP
14725	678	16	which	which	WDT
14725	678	17	will	will	MD
14725	678	18	mark	mark	VB
14725	678	19	the	the	DT
14725	678	20	apparent	apparent	JJ
14725	678	21	elevation	elevation	NN
14725	678	22	of	of	IN
14725	678	23	the	the	DT
14725	678	24	point	point	NN
14725	678	25	I.	i.	NN
14725	679	1	Let	let	VB
14725	679	2	there	there	EX
14725	679	3	be	be	VB
14725	679	4	described	describe	VBN
14725	679	5	on	on	IN
14725	679	6	G_g	g_g	CD
14725	679	7	_	_	NNP
14725	679	8	a	a	DT
14725	679	9	semicircle	semicircle	NN
14725	679	10	cutting	cut	VBG
14725	679	11	CR	CR	NNP
14725	679	12	at	at	IN
14725	679	13	B	B	NNP
14725	679	14	,	,	,
14725	679	15	from	from	IN
14725	679	16	which	which	WDT
14725	679	17	let	let	VBD
14725	679	18	BV	BV	NNP
14725	679	19	be	be	VB
14725	679	20	drawn	draw	VBN
14725	679	21	perpendicular	perpendicular	JJ
14725	679	22	to	to	IN
14725	679	23	G_g	g_g	CD
14725	679	24	_	_	NN
14725	679	25	;	;	:
14725	679	26	and	and	CC
14725	679	27	let	let	VB
14725	679	28	N	n	NN
14725	679	29	to	to	IN
14725	679	30	GC	GC	NNP
14725	679	31	be	be	VB
14725	679	32	the	the	DT
14725	679	33	proportion	proportion	NN
14725	679	34	of	of	IN
14725	679	35	the	the	DT
14725	679	36	refraction	refraction	NN
14725	679	37	in	in	IN
14725	679	38	this	this	DT
14725	679	39	section	section	NN
14725	679	40	,	,	,
14725	679	41	as	as	IN
14725	679	42	in	in	IN
14725	679	43	Article	Article	NNP
14725	679	44	28	28	CD
14725	679	45	.	.	.
14725	680	1	Since	since	IN
14725	680	2	then	then	RB
14725	680	3	CI	CI	NNP
14725	680	4	is	be	VBZ
14725	680	5	the	the	DT
14725	680	6	refraction	refraction	NN
14725	680	7	of	of	IN
14725	680	8	the	the	DT
14725	680	9	radius	radius	NN
14725	680	10	BC	BC	NNP
14725	680	11	,	,	,
14725	680	12	and	and	CC
14725	680	13	DI	DI	NNP
14725	680	14	is	be	VBZ
14725	680	15	parallel	parallel	JJ
14725	680	16	to	to	IN
14725	680	17	CM	CM	NNP
14725	680	18	,	,	,
14725	680	19	VC	VC	NNP
14725	680	20	must	must	MD
14725	680	21	be	be	VB
14725	680	22	to	to	IN
14725	680	23	CD	CD	NNP
14725	680	24	as	as	IN
14725	680	25	N	n	CD
14725	680	26	to	to	IN
14725	680	27	GC	GC	NNP
14725	680	28	,	,	,
14725	680	29	according	accord	VBG
14725	680	30	to	to	IN
14725	680	31	what	what	WP
14725	680	32	has	have	VBZ
14725	680	33	been	be	VBN
14725	680	34	demonstrated	demonstrate	VBN
14725	680	35	in	in	IN
14725	680	36	Article	Article	NNP
14725	680	37	31	31	CD
14725	680	38	.	.	.
14725	681	1	But	but	CC
14725	681	2	as	as	IN
14725	681	3	VC	VC	NNP
14725	681	4	is	be	VBZ
14725	681	5	to	to	IN
14725	681	6	CD	CD	NNP
14725	681	7	so	so	RB
14725	681	8	is	be	VBZ
14725	681	9	BV	bv	NN
14725	681	10	to	to	IN
14725	681	11	DS	DS	NNP
14725	681	12	.	.	.
14725	682	1	Let	let	VB
14725	682	2	ML	ML	NNP
14725	682	3	be	be	VB
14725	682	4	drawn	draw	VBN
14725	682	5	perpendicular	perpendicular	JJ
14725	682	6	to	to	IN
14725	682	7	CL	CL	NNP
14725	682	8	.	.	.
14725	683	1	And	and	CC
14725	683	2	because	because	IN
14725	683	3	I	-PRON-	PRP
14725	683	4	consider	consider	VBP
14725	683	5	,	,	,
14725	683	6	again	again	RB
14725	683	7	,	,	,
14725	683	8	the	the	DT
14725	683	9	eyes	eye	NNS
14725	683	10	to	to	TO
14725	683	11	be	be	VB
14725	683	12	distant	distant	JJ
14725	683	13	above	above	IN
14725	683	14	the	the	DT
14725	683	15	crystal	crystal	NN
14725	683	16	,	,	,
14725	683	17	BV	BV	NNP
14725	683	18	is	be	VBZ
14725	683	19	deemed	deem	VBN
14725	683	20	equal	equal	JJ
14725	683	21	to	to	IN
14725	683	22	the	the	DT
14725	683	23	semi	semi	JJ
14725	683	24	-	-	JJ
14725	683	25	diameter	diameter	NN
14725	683	26	CG	cg	NN
14725	683	27	;	;	:
14725	683	28	and	and	CC
14725	683	29	hence	hence	RB
14725	683	30	DS	DS	NNP
14725	683	31	will	will	MD
14725	683	32	be	be	VB
14725	683	33	a	a	DT
14725	683	34	third	third	JJ
14725	683	35	proportional	proportional	NN
14725	683	36	to	to	IN
14725	683	37	the	the	DT
14725	683	38	lines	line	NNS
14725	683	39	N	N	NNP
14725	683	40	and	and	CC
14725	683	41	CG	CG	NNP
14725	683	42	:	:	:
14725	683	43	also	also	RB
14725	683	44	DP	DP	NNP
14725	683	45	will	will	MD
14725	683	46	be	be	VB
14725	683	47	deemed	deem	VBN
14725	683	48	equal	equal	JJ
14725	683	49	to	to	IN
14725	683	50	CL	CL	NNP
14725	683	51	.	.	.
14725	684	1	Now	now	RB
14725	684	2	CG	cg	NN
14725	684	3	consisting	consist	VBG
14725	684	4	of	of	IN
14725	684	5	98,778	98,778	CD
14725	684	6	parts	part	NNS
14725	684	7	,	,	,
14725	684	8	of	of	IN
14725	684	9	which	which	WDT
14725	684	10	CM	CM	NNP
14725	684	11	contains	contain	VBZ
14725	684	12	100,000	100,000	CD
14725	684	13	,	,	,
14725	684	14	N	n	CC
14725	684	15	is	be	VBZ
14725	684	16	taken	take	VBN
14725	684	17	as	as	IN
14725	684	18	156,962	156,962	CD
14725	684	19	.	.	.
14725	685	1	Then	then	RB
14725	685	2	DS	DS	NNP
14725	685	3	will	will	MD
14725	685	4	be	be	VB
14725	685	5	62,163	62,163	CD
14725	685	6	.	.	.
14725	686	1	But	but	CC
14725	686	2	CL	CL	NNP
14725	686	3	is	be	VBZ
14725	686	4	also	also	RB
14725	686	5	determined	determine	VBN
14725	686	6	,	,	,
14725	686	7	and	and	CC
14725	686	8	contains	contain	VBZ
14725	686	9	99,324	99,324	CD
14725	686	10	parts	part	NNS
14725	686	11	,	,	,
14725	686	12	as	as	IN
14725	686	13	has	have	VBZ
14725	686	14	been	be	VBN
14725	686	15	said	say	VBN
14725	686	16	in	in	IN
14725	686	17	Articles	Articles	NNP
14725	686	18	34	34	CD
14725	686	19	and	and	CC
14725	686	20	40	40	CD
14725	686	21	.	.	.
14725	687	1	Then	then	RB
14725	687	2	the	the	DT
14725	687	3	ratio	ratio	NN
14725	687	4	of	of	IN
14725	687	5	PD	PD	NNP
14725	687	6	to	to	IN
14725	687	7	DS	DS	NNP
14725	687	8	will	will	MD
14725	687	9	be	be	VB
14725	687	10	as	as	IN
14725	687	11	99,324	99,324	CD
14725	687	12	to	to	IN
14725	687	13	62,163	62,163	CD
14725	687	14	.	.	.
14725	688	1	And	and	CC
14725	688	2	thus	thus	RB
14725	688	3	one	one	PRP
14725	688	4	knows	know	VBZ
14725	688	5	the	the	DT
14725	688	6	elevation	elevation	NN
14725	688	7	of	of	IN
14725	688	8	the	the	DT
14725	688	9	point	point	NN
14725	688	10	at	at	IN
14725	688	11	the	the	DT
14725	688	12	bottom	bottom	NN
14725	688	13	I	-PRON-	PRP
14725	688	14	by	by	IN
14725	688	15	the	the	DT
14725	688	16	refraction	refraction	NN
14725	688	17	of	of	IN
14725	688	18	this	this	DT
14725	688	19	section	section	NN
14725	688	20	;	;	:
14725	688	21	and	and	CC
14725	688	22	it	-PRON-	PRP
14725	688	23	appears	appear	VBZ
14725	688	24	that	that	IN
14725	688	25	this	this	DT
14725	688	26	elevation	elevation	NN
14725	688	27	is	be	VBZ
14725	688	28	greater	great	JJR
14725	688	29	than	than	IN
14725	688	30	that	that	DT
14725	688	31	by	by	IN
14725	688	32	the	the	DT
14725	688	33	refraction	refraction	NN
14725	688	34	of	of	IN
14725	688	35	the	the	DT
14725	688	36	preceding	precede	VBG
14725	688	37	section	section	NN
14725	688	38	,	,	,
14725	688	39	since	since	IN
14725	688	40	the	the	DT
14725	688	41	ratio	ratio	NN
14725	688	42	of	of	IN
14725	688	43	PD	PD	NNP
14725	688	44	to	to	IN
14725	688	45	DS	DS	NNP
14725	688	46	was	be	VBD
14725	688	47	there	there	RB
14725	688	48	as	as	IN
14725	688	49	99,324	99,324	CD
14725	688	50	to	to	IN
14725	688	51	70,283	70,283	CD
14725	688	52	.	.	.
14725	689	1	[	[	-LRB-
14725	689	2	Illustration	illustration	NN
14725	689	3	]	]	-RRB-
14725	689	4	But	but	CC
14725	689	5	by	by	IN
14725	689	6	the	the	DT
14725	689	7	regular	regular	JJ
14725	689	8	refraction	refraction	NN
14725	689	9	of	of	IN
14725	689	10	the	the	DT
14725	689	11	crystal	crystal	NN
14725	689	12	,	,	,
14725	689	13	of	of	IN
14725	689	14	which	which	WDT
14725	689	15	we	-PRON-	PRP
14725	689	16	have	have	VBP
14725	689	17	above	above	RB
14725	689	18	said	say	VBN
14725	689	19	that	that	IN
14725	689	20	the	the	DT
14725	689	21	proportion	proportion	NN
14725	689	22	is	be	VBZ
14725	689	23	5	5	CD
14725	689	24	to	to	IN
14725	689	25	3	3	CD
14725	689	26	,	,	,
14725	689	27	the	the	DT
14725	689	28	elevation	elevation	NN
14725	689	29	of	of	IN
14725	689	30	the	the	DT
14725	689	31	point	point	NN
14725	689	32	I	-PRON-	PRP
14725	689	33	,	,	,
14725	689	34	or	or	CC
14725	689	35	P	p	NN
14725	689	36	,	,	,
14725	689	37	from	from	IN
14725	689	38	the	the	DT
14725	689	39	bottom	bottom	NN
14725	689	40	,	,	,
14725	689	41	will	will	MD
14725	689	42	be	be	VB
14725	689	43	2/5	2/5	CD
14725	689	44	of	of	IN
14725	689	45	the	the	DT
14725	689	46	height	height	NN
14725	689	47	DP	dp	NN
14725	689	48	;	;	:
14725	689	49	as	as	IN
14725	689	50	appears	appear	VBZ
14725	689	51	by	by	IN
14725	689	52	this	this	DT
14725	689	53	figure	figure	NN
14725	689	54	,	,	,
14725	689	55	where	where	WRB
14725	689	56	the	the	DT
14725	689	57	point	point	NN
14725	689	58	P	p	NN
14725	689	59	being	be	VBG
14725	689	60	viewed	view	VBN
14725	689	61	by	by	IN
14725	689	62	the	the	DT
14725	689	63	rays	ray	NNS
14725	689	64	PCR	PCR	NNP
14725	689	65	,	,	,
14725	689	66	P_cr	P_cr	NNP
14725	689	67	_	_	NNP
14725	689	68	,	,	,
14725	689	69	refracted	refract	VBN
14725	689	70	equally	equally	RB
14725	689	71	at	at	IN
14725	689	72	the	the	DT
14725	689	73	surface	surface	NN
14725	689	74	C_c	c_c	CD
14725	689	75	_	_	NNP
14725	689	76	,	,	,
14725	689	77	this	this	DT
14725	689	78	point	point	NN
14725	689	79	must	must	MD
14725	689	80	needs	needs	VB
14725	689	81	appear	appear	VB
14725	689	82	to	to	TO
14725	689	83	be	be	VB
14725	689	84	at	at	IN
14725	689	85	S	S	NNP
14725	689	86	,	,	,
14725	689	87	in	in	IN
14725	689	88	the	the	DT
14725	689	89	perpendicular	perpendicular	JJ
14725	689	90	PD	PD	NNP
14725	689	91	where	where	WRB
14725	689	92	the	the	DT
14725	689	93	lines	line	NNS
14725	689	94	RC	RC	NNP
14725	689	95	,	,	,
14725	689	96	_	_	NNP
14725	689	97	rc	rc	NNP
14725	689	98	_	_	NNP
14725	689	99	,	,	,
14725	689	100	meet	meet	VBP
14725	689	101	when	when	WRB
14725	689	102	prolonged	prolong	VBN
14725	689	103	:	:	:
14725	689	104	and	and	CC
14725	689	105	one	one	NN
14725	689	106	knows	know	VBZ
14725	689	107	that	that	IN
14725	689	108	the	the	DT
14725	689	109	line	line	NN
14725	689	110	PC	pc	NN
14725	689	111	is	be	VBZ
14725	689	112	to	to	IN
14725	689	113	CS	CS	NNP
14725	689	114	as	as	IN
14725	689	115	5	5	CD
14725	689	116	to	to	IN
14725	689	117	3	3	CD
14725	689	118	,	,	,
14725	689	119	since	since	IN
14725	689	120	they	-PRON-	PRP
14725	689	121	are	be	VBP
14725	689	122	to	to	IN
14725	689	123	one	one	CD
14725	689	124	another	another	DT
14725	689	125	as	as	IN
14725	689	126	the	the	DT
14725	689	127	sine	sine	NN
14725	689	128	of	of	IN
14725	689	129	the	the	DT
14725	689	130	angle	angle	NN
14725	689	131	CSP	csp	NN
14725	689	132	or	or	CC
14725	689	133	DSC	dsc	NN
14725	689	134	is	be	VBZ
14725	689	135	to	to	IN
14725	689	136	the	the	DT
14725	689	137	sine	sine	NN
14725	689	138	of	of	IN
14725	689	139	the	the	DT
14725	689	140	angle	angle	NN
14725	689	141	SPC	SPC	NNP
14725	689	142	.	.	.
14725	690	1	And	and	CC
14725	690	2	because	because	IN
14725	690	3	the	the	DT
14725	690	4	ratio	ratio	NN
14725	690	5	of	of	IN
14725	690	6	PD	PD	NNP
14725	690	7	to	to	IN
14725	690	8	DS	DS	NNP
14725	690	9	is	be	VBZ
14725	690	10	deemed	deem	VBN
14725	690	11	the	the	DT
14725	690	12	same	same	JJ
14725	690	13	as	as	IN
14725	690	14	that	that	DT
14725	690	15	of	of	IN
14725	690	16	PC	PC	NNP
14725	690	17	to	to	IN
14725	690	18	CS	CS	NNP
14725	690	19	,	,	,
14725	690	20	the	the	DT
14725	690	21	two	two	CD
14725	690	22	eyes	eye	NNS
14725	690	23	Rr	rr	IN
14725	690	24	being	be	VBG
14725	690	25	supposed	suppose	VBN
14725	690	26	very	very	RB
14725	690	27	far	far	RB
14725	690	28	above	above	IN
14725	690	29	the	the	DT
14725	690	30	crystal	crystal	NN
14725	690	31	,	,	,
14725	690	32	the	the	DT
14725	690	33	elevation	elevation	NN
14725	690	34	PS	PS	NNP
14725	690	35	will	will	MD
14725	690	36	thus	thus	RB
14725	690	37	be	be	VB
14725	690	38	2/5	2/5	CD
14725	690	39	of	of	IN
14725	690	40	PD	PD	NNP
14725	690	41	.	.	.
14725	691	1	[	[	-LRB-
14725	691	2	Illustration	illustration	NN
14725	691	3	]	]	-RRB-
14725	691	4	42	42	CD
14725	691	5	.	.	.
14725	692	1	If	if	IN
14725	692	2	one	one	PRP
14725	692	3	takes	take	VBZ
14725	692	4	a	a	DT
14725	692	5	straight	straight	JJ
14725	692	6	line	line	NN
14725	692	7	AB	ab	NN
14725	692	8	for	for	IN
14725	692	9	the	the	DT
14725	692	10	thickness	thickness	NN
14725	692	11	of	of	IN
14725	692	12	the	the	DT
14725	692	13	crystal	crystal	NN
14725	692	14	,	,	,
14725	692	15	its	-PRON-	PRP$
14725	692	16	point	point	NN
14725	692	17	B	b	NN
14725	692	18	being	be	VBG
14725	692	19	at	at	IN
14725	692	20	the	the	DT
14725	692	21	bottom	bottom	NN
14725	692	22	,	,	,
14725	692	23	and	and	CC
14725	692	24	if	if	IN
14725	692	25	one	one	NN
14725	692	26	divides	divide	VBZ
14725	692	27	it	-PRON-	PRP
14725	692	28	at	at	IN
14725	692	29	the	the	DT
14725	692	30	points	point	NNS
14725	692	31	C	C	NNP
14725	692	32	,	,	,
14725	692	33	D	d	NN
14725	692	34	,	,	,
14725	692	35	E	e	NN
14725	692	36	,	,	,
14725	692	37	according	accord	VBG
14725	692	38	to	to	IN
14725	692	39	the	the	DT
14725	692	40	proportions	proportion	NNS
14725	692	41	of	of	IN
14725	692	42	the	the	DT
14725	692	43	elevations	elevation	NNS
14725	692	44	found	find	VBD
14725	692	45	,	,	,
14725	692	46	making	make	VBG
14725	692	47	AE	ae	RB
14725	692	48	3/5	3/5	CD
14725	692	49	of	of	IN
14725	692	50	AB	AB	NNP
14725	692	51	,	,	,
14725	692	52	AB	AB	NNP
14725	692	53	to	to	IN
14725	692	54	AC	AC	NNP
14725	692	55	as	as	IN
14725	692	56	99,324	99,324	CD
14725	692	57	to	to	IN
14725	692	58	70,283	70,283	CD
14725	692	59	,	,	,
14725	692	60	and	and	CC
14725	692	61	AB	AB	NNP
14725	692	62	to	to	IN
14725	692	63	AD	ad	NN
14725	692	64	as	as	IN
14725	692	65	99,324	99,324	CD
14725	692	66	to	to	IN
14725	692	67	62,163	62,163	CD
14725	692	68	,	,	,
14725	692	69	these	these	DT
14725	692	70	points	point	NNS
14725	692	71	will	will	MD
14725	692	72	divide	divide	VB
14725	692	73	AB	AB	NNP
14725	692	74	as	as	IN
14725	692	75	in	in	IN
14725	692	76	this	this	DT
14725	692	77	figure	figure	NN
14725	692	78	.	.	.
14725	693	1	And	and	CC
14725	693	2	it	-PRON-	PRP
14725	693	3	will	will	MD
14725	693	4	be	be	VB
14725	693	5	found	find	VBN
14725	693	6	that	that	IN
14725	693	7	this	this	DT
14725	693	8	agrees	agree	VBZ
14725	693	9	perfectly	perfectly	RB
14725	693	10	with	with	IN
14725	693	11	experiment	experiment	NN
14725	693	12	;	;	:
14725	693	13	that	that	DT
14725	693	14	is	be	VBZ
14725	693	15	to	to	TO
14725	693	16	say	say	VB
14725	693	17	by	by	IN
14725	693	18	placing	place	VBG
14725	693	19	the	the	DT
14725	693	20	eyes	eye	NNS
14725	693	21	above	above	IN
14725	693	22	in	in	IN
14725	693	23	the	the	DT
14725	693	24	plane	plane	NN
14725	693	25	which	which	WDT
14725	693	26	cuts	cut	VBZ
14725	693	27	the	the	DT
14725	693	28	crystal	crystal	NN
14725	693	29	according	accord	VBG
14725	693	30	to	to	IN
14725	693	31	the	the	DT
14725	693	32	shorter	short	JJR
14725	693	33	diameter	diameter	NN
14725	693	34	of	of	IN
14725	693	35	the	the	DT
14725	693	36	rhombus	rhombus	NN
14725	693	37	,	,	,
14725	693	38	the	the	DT
14725	693	39	regular	regular	JJ
14725	693	40	refraction	refraction	NN
14725	693	41	will	will	MD
14725	693	42	lift	lift	VB
14725	693	43	up	up	RP
14725	693	44	the	the	DT
14725	693	45	letters	letter	NNS
14725	693	46	to	to	IN
14725	693	47	E	e	NN
14725	693	48	;	;	:
14725	693	49	and	and	CC
14725	693	50	one	one	PRP
14725	693	51	will	will	MD
14725	693	52	see	see	VB
14725	693	53	the	the	DT
14725	693	54	bottom	bottom	NN
14725	693	55	,	,	,
14725	693	56	and	and	CC
14725	693	57	the	the	DT
14725	693	58	letters	letter	NNS
14725	693	59	over	over	IN
14725	693	60	which	which	WDT
14725	693	61	it	-PRON-	PRP
14725	693	62	is	be	VBZ
14725	693	63	placed	place	VBN
14725	693	64	,	,	,
14725	693	65	lifted	lift	VBN
14725	693	66	up	up	RP
14725	693	67	to	to	IN
14725	693	68	D	d	NN
14725	693	69	by	by	IN
14725	693	70	the	the	DT
14725	693	71	irregular	irregular	JJ
14725	693	72	refraction	refraction	NN
14725	693	73	.	.	.
14725	694	1	But	but	CC
14725	694	2	by	by	IN
14725	694	3	placing	place	VBG
14725	694	4	the	the	DT
14725	694	5	eyes	eye	NNS
14725	694	6	above	above	IN
14725	694	7	in	in	IN
14725	694	8	the	the	DT
14725	694	9	plane	plane	NN
14725	694	10	which	which	WDT
14725	694	11	cuts	cut	VBZ
14725	694	12	the	the	DT
14725	694	13	crystal	crystal	NN
14725	694	14	according	accord	VBG
14725	694	15	to	to	IN
14725	694	16	the	the	DT
14725	694	17	longer	long	JJR
14725	694	18	diameter	diameter	NN
14725	694	19	of	of	IN
14725	694	20	the	the	DT
14725	694	21	rhombus	rhombus	NN
14725	694	22	,	,	,
14725	694	23	the	the	DT
14725	694	24	regular	regular	JJ
14725	694	25	refraction	refraction	NN
14725	694	26	will	will	MD
14725	694	27	lift	lift	VB
14725	694	28	the	the	DT
14725	694	29	letters	letter	NNS
14725	694	30	to	to	IN
14725	694	31	E	E	NNP
14725	694	32	as	as	IN
14725	694	33	before	before	RB
14725	694	34	;	;	:
14725	694	35	but	but	CC
14725	694	36	the	the	DT
14725	694	37	irregular	irregular	JJ
14725	694	38	refraction	refraction	NN
14725	694	39	will	will	MD
14725	694	40	make	make	VB
14725	694	41	them	-PRON-	PRP
14725	694	42	,	,	,
14725	694	43	at	at	IN
14725	694	44	the	the	DT
14725	694	45	same	same	JJ
14725	694	46	time	time	NN
14725	694	47	,	,	,
14725	694	48	appear	appear	VB
14725	694	49	lifted	lift	VBN
14725	694	50	up	up	RP
14725	694	51	only	only	RB
14725	694	52	to	to	IN
14725	694	53	C	c	NN
14725	694	54	;	;	:
14725	694	55	and	and	CC
14725	694	56	in	in	IN
14725	694	57	such	such	PDT
14725	694	58	a	a	DT
14725	694	59	way	way	NN
14725	694	60	that	that	IN
14725	694	61	the	the	DT
14725	694	62	interval	interval	JJ
14725	694	63	CE	CE	NNP
14725	694	64	will	will	MD
14725	694	65	be	be	VB
14725	694	66	quadruple	quadruple	JJ
14725	694	67	the	the	DT
14725	694	68	interval	interval	NN
14725	694	69	ED	ED	NNP
14725	694	70	,	,	,
14725	694	71	which	which	WDT
14725	694	72	one	one	PRP
14725	694	73	previously	previously	RB
14725	694	74	saw	see	VBD
14725	694	75	.	.	.
14725	695	1	43	43	CD
14725	695	2	.	.	.
14725	696	1	I	-PRON-	PRP
14725	696	2	have	have	VBP
14725	696	3	only	only	RB
14725	696	4	to	to	TO
14725	696	5	make	make	VB
14725	696	6	the	the	DT
14725	696	7	remark	remark	NN
14725	696	8	here	here	RB
14725	696	9	that	that	IN
14725	696	10	in	in	IN
14725	696	11	both	both	PDT
14725	696	12	the	the	DT
14725	696	13	positions	position	NNS
14725	696	14	of	of	IN
14725	696	15	the	the	DT
14725	696	16	eyes	eye	NNS
14725	696	17	the	the	DT
14725	696	18	images	image	NNS
14725	696	19	caused	cause	VBN
14725	696	20	by	by	IN
14725	696	21	the	the	DT
14725	696	22	irregular	irregular	JJ
14725	696	23	refraction	refraction	NN
14725	696	24	do	do	VBP
14725	696	25	not	not	RB
14725	696	26	appear	appear	VB
14725	696	27	directly	directly	RB
14725	696	28	below	below	IN
14725	696	29	those	those	DT
14725	696	30	which	which	WDT
14725	696	31	proceed	proceed	VBP
14725	696	32	from	from	IN
14725	696	33	the	the	DT
14725	696	34	regular	regular	JJ
14725	696	35	refraction	refraction	NN
14725	696	36	,	,	,
14725	696	37	but	but	CC
14725	696	38	they	-PRON-	PRP
14725	696	39	are	be	VBP
14725	696	40	separated	separate	VBN
14725	696	41	from	from	IN
14725	696	42	them	-PRON-	PRP
14725	696	43	by	by	IN
14725	696	44	being	be	VBG
14725	696	45	more	more	RBR
14725	696	46	distant	distant	JJ
14725	696	47	from	from	IN
14725	696	48	the	the	DT
14725	696	49	equilateral	equilateral	JJ
14725	696	50	solid	solid	JJ
14725	696	51	angle	angle	NN
14725	696	52	of	of	IN
14725	696	53	the	the	DT
14725	696	54	Crystal	Crystal	NNP
14725	696	55	.	.	.
14725	697	1	That	that	DT
14725	697	2	follows	follow	VBZ
14725	697	3	,	,	,
14725	697	4	indeed	indeed	RB
14725	697	5	,	,	,
14725	697	6	from	from	IN
14725	697	7	all	all	DT
14725	697	8	that	that	WDT
14725	697	9	has	have	VBZ
14725	697	10	been	be	VBN
14725	697	11	hitherto	hitherto	VBN
14725	697	12	demonstrated	demonstrate	VBN
14725	697	13	about	about	IN
14725	697	14	the	the	DT
14725	697	15	irregular	irregular	JJ
14725	697	16	refraction	refraction	NN
14725	697	17	;	;	:
14725	697	18	and	and	CC
14725	697	19	it	-PRON-	PRP
14725	697	20	is	be	VBZ
14725	697	21	particularly	particularly	RB
14725	697	22	shown	show	VBN
14725	697	23	by	by	IN
14725	697	24	these	these	DT
14725	697	25	last	last	JJ
14725	697	26	demonstrations	demonstration	NNS
14725	697	27	,	,	,
14725	697	28	from	from	IN
14725	697	29	which	which	WDT
14725	697	30	one	one	PRP
14725	697	31	sees	see	VBZ
14725	697	32	that	that	IN
14725	697	33	the	the	DT
14725	697	34	point	point	NN
14725	697	35	I	-PRON-	PRP
14725	697	36	appears	appear	VBZ
14725	697	37	by	by	IN
14725	697	38	irregular	irregular	JJ
14725	697	39	refraction	refraction	NN
14725	697	40	at	at	IN
14725	697	41	S	s	NN
14725	697	42	in	in	IN
14725	697	43	the	the	DT
14725	697	44	perpendicular	perpendicular	JJ
14725	697	45	line	line	NN
14725	697	46	DP	DP	NNP
14725	697	47	,	,	,
14725	697	48	in	in	IN
14725	697	49	which	which	WDT
14725	697	50	line	line	NN
14725	697	51	also	also	RB
14725	697	52	the	the	DT
14725	697	53	image	image	NN
14725	697	54	of	of	IN
14725	697	55	the	the	DT
14725	697	56	point	point	NN
14725	697	57	P	p	NN
14725	697	58	ought	ought	MD
14725	697	59	to	to	TO
14725	697	60	appear	appear	VB
14725	697	61	by	by	IN
14725	697	62	regular	regular	JJ
14725	697	63	refraction	refraction	NN
14725	697	64	,	,	,
14725	697	65	but	but	CC
14725	697	66	not	not	RB
14725	697	67	the	the	DT
14725	697	68	image	image	NN
14725	697	69	of	of	IN
14725	697	70	the	the	DT
14725	697	71	point	point	NN
14725	697	72	I	-PRON-	PRP
14725	697	73	,	,	,
14725	697	74	which	which	WDT
14725	697	75	will	will	MD
14725	697	76	be	be	VB
14725	697	77	almost	almost	RB
14725	697	78	directly	directly	RB
14725	697	79	above	above	IN
14725	697	80	the	the	DT
14725	697	81	same	same	JJ
14725	697	82	point	point	NN
14725	697	83	,	,	,
14725	697	84	and	and	CC
14725	697	85	higher	high	JJR
14725	697	86	than	than	IN
14725	697	87	S.	S.	NNP
14725	697	88	But	but	CC
14725	697	89	as	as	IN
14725	697	90	to	to	IN
14725	697	91	the	the	DT
14725	697	92	apparent	apparent	JJ
14725	697	93	elevation	elevation	NN
14725	697	94	of	of	IN
14725	697	95	the	the	DT
14725	697	96	point	point	NN
14725	697	97	I	-PRON-	PRP
14725	697	98	in	in	IN
14725	697	99	other	other	JJ
14725	697	100	positions	position	NNS
14725	697	101	of	of	IN
14725	697	102	the	the	DT
14725	697	103	eyes	eye	NNS
14725	697	104	above	above	IN
14725	697	105	the	the	DT
14725	697	106	crystal	crystal	NN
14725	697	107	,	,	,
14725	697	108	besides	besides	IN
14725	697	109	the	the	DT
14725	697	110	two	two	CD
14725	697	111	positions	position	NNS
14725	697	112	which	which	WDT
14725	697	113	we	-PRON-	PRP
14725	697	114	have	have	VBP
14725	697	115	just	just	RB
14725	697	116	examined	examine	VBN
14725	697	117	,	,	,
14725	697	118	the	the	DT
14725	697	119	image	image	NN
14725	697	120	of	of	IN
14725	697	121	that	that	DT
14725	697	122	point	point	NN
14725	697	123	by	by	IN
14725	697	124	the	the	DT
14725	697	125	irregular	irregular	JJ
14725	697	126	refraction	refraction	NN
14725	697	127	will	will	MD
14725	697	128	always	always	RB
14725	697	129	appear	appear	VB
14725	697	130	between	between	IN
14725	697	131	the	the	DT
14725	697	132	two	two	CD
14725	697	133	heights	height	NNS
14725	697	134	of	of	IN
14725	697	135	D	d	NN
14725	697	136	and	and	CC
14725	697	137	C	C	NNP
14725	697	138	,	,	,
14725	697	139	passing	pass	VBG
14725	697	140	from	from	IN
14725	697	141	one	one	CD
14725	697	142	to	to	IN
14725	697	143	the	the	DT
14725	697	144	other	other	JJ
14725	697	145	as	as	IN
14725	697	146	one	one	NN
14725	697	147	turns	turn	VBZ
14725	697	148	one	one	PRP
14725	697	149	's	's	POS
14725	697	150	self	self	NN
14725	697	151	around	around	RP
14725	697	152	about	about	IN
14725	697	153	the	the	DT
14725	697	154	immovable	immovable	JJ
14725	697	155	crystal	crystal	NN
14725	697	156	,	,	,
14725	697	157	while	while	IN
14725	697	158	looking	look	VBG
14725	697	159	down	down	RB
14725	697	160	from	from	IN
14725	697	161	above	above	RB
14725	697	162	.	.	.
14725	698	1	And	and	CC
14725	698	2	all	all	PDT
14725	698	3	this	this	DT
14725	698	4	is	be	VBZ
14725	698	5	still	still	RB
14725	698	6	found	find	VBN
14725	698	7	conformable	conformable	JJ
14725	698	8	to	to	IN
14725	698	9	our	-PRON-	PRP$
14725	698	10	hypothesis	hypothesis	NN
14725	698	11	,	,	,
14725	698	12	as	as	IN
14725	698	13	any	any	DT
14725	698	14	one	one	NN
14725	698	15	can	can	MD
14725	698	16	assure	assure	VB
14725	698	17	himself	-PRON-	PRP
14725	698	18	after	after	IN
14725	698	19	I	-PRON-	PRP
14725	698	20	shall	shall	MD
14725	698	21	have	have	VB
14725	698	22	shown	show	VBN
14725	698	23	here	here	RB
14725	698	24	the	the	DT
14725	698	25	way	way	NN
14725	698	26	of	of	IN
14725	698	27	finding	find	VBG
14725	698	28	the	the	DT
14725	698	29	irregular	irregular	JJ
14725	698	30	refractions	refraction	NNS
14725	698	31	which	which	WDT
14725	698	32	appear	appear	VBP
14725	698	33	in	in	IN
14725	698	34	all	all	DT
14725	698	35	other	other	JJ
14725	698	36	sections	section	NNS
14725	698	37	of	of	IN
14725	698	38	the	the	DT
14725	698	39	crystal	crystal	NN
14725	698	40	,	,	,
14725	698	41	besides	besides	IN
14725	698	42	the	the	DT
14725	698	43	two	two	CD
14725	698	44	which	which	WDT
14725	698	45	we	-PRON-	PRP
14725	698	46	have	have	VBP
14725	698	47	considered	consider	VBN
14725	698	48	.	.	.
14725	699	1	Let	let	VB
14725	699	2	us	-PRON-	PRP
14725	699	3	suppose	suppose	VB
14725	699	4	one	one	CD
14725	699	5	of	of	IN
14725	699	6	the	the	DT
14725	699	7	faces	face	NNS
14725	699	8	of	of	IN
14725	699	9	the	the	DT
14725	699	10	crystal	crystal	NN
14725	699	11	,	,	,
14725	699	12	in	in	IN
14725	699	13	which	which	WDT
14725	699	14	let	let	VBP
14725	699	15	there	there	EX
14725	699	16	be	be	VB
14725	699	17	the	the	DT
14725	699	18	Ellipse	Ellipse	NNP
14725	699	19	HDE	HDE	NNP
14725	699	20	,	,	,
14725	699	21	the	the	DT
14725	699	22	centre	centre	NN
14725	699	23	C	C	NNP
14725	699	24	of	of	IN
14725	699	25	which	which	WDT
14725	699	26	is	be	VBZ
14725	699	27	also	also	RB
14725	699	28	the	the	DT
14725	699	29	centre	centre	NN
14725	699	30	of	of	IN
14725	699	31	the	the	DT
14725	699	32	spheroid	spheroid	JJ
14725	699	33	HME	HME	NNP
14725	699	34	in	in	IN
14725	699	35	which	which	WDT
14725	699	36	the	the	DT
14725	699	37	light	light	NN
14725	699	38	spreads	spread	VBZ
14725	699	39	,	,	,
14725	699	40	and	and	CC
14725	699	41	of	of	IN
14725	699	42	which	which	WDT
14725	699	43	the	the	DT
14725	699	44	said	say	VBD
14725	699	45	Ellipse	Ellipse	NNP
14725	699	46	is	be	VBZ
14725	699	47	the	the	DT
14725	699	48	section	section	NN
14725	699	49	.	.	.
14725	700	1	And	and	CC
14725	700	2	let	let	VB
14725	700	3	the	the	DT
14725	700	4	incident	incident	NN
14725	700	5	ray	ray	NN
14725	700	6	be	be	VB
14725	700	7	RC	RC	VBN
14725	700	8	,	,	,
14725	700	9	the	the	DT
14725	700	10	refraction	refraction	NN
14725	700	11	of	of	IN
14725	700	12	which	which	WDT
14725	700	13	it	-PRON-	PRP
14725	700	14	is	be	VBZ
14725	700	15	required	require	VBN
14725	700	16	to	to	TO
14725	700	17	find	find	VB
14725	700	18	.	.	.
14725	701	1	Let	let	VB
14725	701	2	there	there	EX
14725	701	3	be	be	VB
14725	701	4	taken	take	VBN
14725	701	5	a	a	DT
14725	701	6	plane	plane	NN
14725	701	7	passing	pass	VBG
14725	701	8	through	through	IN
14725	701	9	the	the	DT
14725	701	10	ray	ray	NN
14725	701	11	RC	rc	NN
14725	701	12	and	and	CC
14725	701	13	which	which	WDT
14725	701	14	is	be	VBZ
14725	701	15	perpendicular	perpendicular	JJ
14725	701	16	to	to	IN
14725	701	17	the	the	DT
14725	701	18	plane	plane	NN
14725	701	19	of	of	IN
14725	701	20	the	the	DT
14725	701	21	ellipse	ellipse	NN
14725	701	22	HDE	HDE	NNP
14725	701	23	,	,	,
14725	701	24	cutting	cut	VBG
14725	701	25	it	-PRON-	PRP
14725	701	26	along	along	IN
14725	701	27	the	the	DT
14725	701	28	straight	straight	JJ
14725	701	29	line	line	NN
14725	701	30	BCK	BCK	NNP
14725	701	31	;	;	:
14725	701	32	and	and	CC
14725	701	33	having	have	VBG
14725	701	34	in	in	IN
14725	701	35	the	the	DT
14725	701	36	same	same	JJ
14725	701	37	plane	plane	NN
14725	701	38	through	through	IN
14725	701	39	RC	RC	NNP
14725	701	40	made	make	VBD
14725	701	41	CO	CO	NNP
14725	701	42	perpendicular	perpendicular	JJ
14725	701	43	to	to	IN
14725	701	44	CR	CR	NNP
14725	701	45	,	,	,
14725	701	46	let	let	VB
14725	701	47	OK	ok	RB
14725	701	48	be	be	VB
14725	701	49	adjusted	adjust	VBN
14725	701	50	across	across	IN
14725	701	51	the	the	DT
14725	701	52	angle	angle	NN
14725	701	53	OCK	OCK	NNP
14725	701	54	,	,	,
14725	701	55	so	so	IN
14725	701	56	as	as	IN
14725	701	57	to	to	TO
14725	701	58	be	be	VB
14725	701	59	perpendicular	perpendicular	JJ
14725	701	60	to	to	IN
14725	701	61	OC	OC	NNP
14725	701	62	and	and	CC
14725	701	63	equal	equal	JJ
14725	701	64	to	to	IN
14725	701	65	the	the	DT
14725	701	66	line	line	NN
14725	701	67	N	N	NNP
14725	701	68	,	,	,
14725	701	69	which	which	WDT
14725	701	70	I	-PRON-	PRP
14725	701	71	suppose	suppose	VBP
14725	701	72	to	to	TO
14725	701	73	measure	measure	VB
14725	701	74	the	the	DT
14725	701	75	travel	travel	NN
14725	701	76	of	of	IN
14725	701	77	the	the	DT
14725	701	78	light	light	NN
14725	701	79	in	in	IN
14725	701	80	air	air	NN
14725	701	81	during	during	IN
14725	701	82	the	the	DT
14725	701	83	time	time	NN
14725	701	84	that	that	WDT
14725	701	85	it	-PRON-	PRP
14725	701	86	spreads	spread	VBZ
14725	701	87	in	in	IN
14725	701	88	the	the	DT
14725	701	89	crystal	crystal	NN
14725	701	90	through	through	IN
14725	701	91	the	the	DT
14725	701	92	spheroid	spheroid	JJ
14725	701	93	HDEM	HDEM	NNP
14725	701	94	.	.	.
14725	702	1	Then	then	RB
14725	702	2	in	in	IN
14725	702	3	the	the	DT
14725	702	4	plane	plane	NN
14725	702	5	of	of	IN
14725	702	6	the	the	DT
14725	702	7	Ellipse	Ellipse	NNP
14725	702	8	HDE	HDE	NNP
14725	702	9	let	let	VB
14725	702	10	KT	KT	NNP
14725	702	11	be	be	VB
14725	702	12	drawn	draw	VBN
14725	702	13	,	,	,
14725	702	14	through	through	IN
14725	702	15	the	the	DT
14725	702	16	point	point	NN
14725	702	17	K	K	NNP
14725	702	18	,	,	,
14725	702	19	perpendicular	perpendicular	JJ
14725	702	20	to	to	IN
14725	702	21	BCK	BCK	NNP
14725	702	22	.	.	.
14725	703	1	Now	now	RB
14725	703	2	if	if	IN
14725	703	3	one	one	NN
14725	703	4	conceives	conceive	VBZ
14725	703	5	a	a	DT
14725	703	6	plane	plane	NN
14725	703	7	drawn	draw	VBN
14725	703	8	through	through	IN
14725	703	9	the	the	DT
14725	703	10	straight	straight	JJ
14725	703	11	line	line	NN
14725	703	12	KT	KT	NNP
14725	703	13	and	and	CC
14725	703	14	touching	touch	VBG
14725	703	15	the	the	DT
14725	703	16	spheroid	spheroid	JJ
14725	703	17	HME	HME	NNP
14725	703	18	at	at	IN
14725	703	19	I	-PRON-	PRP
14725	703	20	,	,	,
14725	703	21	the	the	DT
14725	703	22	straight	straight	JJ
14725	703	23	line	line	NN
14725	703	24	CI	CI	NNP
14725	703	25	will	will	MD
14725	703	26	be	be	VB
14725	703	27	the	the	DT
14725	703	28	refraction	refraction	NN
14725	703	29	of	of	IN
14725	703	30	the	the	DT
14725	703	31	ray	ray	NN
14725	703	32	RC	RC	NNP
14725	703	33	,	,	,
14725	703	34	as	as	IN
14725	703	35	is	be	VBZ
14725	703	36	easy	easy	JJ
14725	703	37	to	to	TO
14725	703	38	deduce	deduce	VB
14725	703	39	from	from	IN
14725	703	40	that	that	DT
14725	703	41	which	which	WDT
14725	703	42	has	have	VBZ
14725	703	43	been	be	VBN
14725	703	44	demonstrated	demonstrate	VBN
14725	703	45	in	in	IN
14725	703	46	Article	Article	NNP
14725	703	47	36	36	CD
14725	703	48	.	.	.
14725	704	1	[	[	-LRB-
14725	704	2	Illustration	illustration	NN
14725	704	3	]	]	-RRB-
14725	704	4	But	but	CC
14725	704	5	it	-PRON-	PRP
14725	704	6	must	must	MD
14725	704	7	be	be	VB
14725	704	8	shown	show	VBN
14725	704	9	how	how	WRB
14725	704	10	one	one	PRP
14725	704	11	can	can	MD
14725	704	12	determine	determine	VB
14725	704	13	the	the	DT
14725	704	14	point	point	NN
14725	704	15	of	of	IN
14725	704	16	contact	contact	NN
14725	704	17	I.	i.	NN
14725	705	1	Let	let	VB
14725	705	2	there	there	EX
14725	705	3	be	be	VB
14725	705	4	drawn	draw	VBN
14725	705	5	parallel	parallel	JJ
14725	705	6	to	to	IN
14725	705	7	the	the	DT
14725	705	8	line	line	NN
14725	705	9	KT	KT	NNP
14725	705	10	a	a	DT
14725	705	11	line	line	NN
14725	705	12	HF	HF	NNP
14725	705	13	which	which	WDT
14725	705	14	touches	touch	VBZ
14725	705	15	the	the	DT
14725	705	16	Ellipse	Ellipse	NNP
14725	705	17	HDE	HDE	NNP
14725	705	18	,	,	,
14725	705	19	and	and	CC
14725	705	20	let	let	VB
14725	705	21	this	this	DT
14725	705	22	point	point	NN
14725	705	23	of	of	IN
14725	705	24	contact	contact	NN
14725	705	25	be	be	VB
14725	705	26	at	at	IN
14725	705	27	H.	H.	NNP
14725	705	28	And	and	CC
14725	705	29	having	have	VBG
14725	705	30	drawn	draw	VBN
14725	705	31	a	a	DT
14725	705	32	straight	straight	JJ
14725	705	33	line	line	NN
14725	705	34	along	along	IN
14725	705	35	CH	CH	NNP
14725	705	36	to	to	TO
14725	705	37	meet	meet	VB
14725	705	38	KT	KT	NNP
14725	705	39	at	at	IN
14725	705	40	T	T	NNP
14725	705	41	,	,	,
14725	705	42	let	let	VB
14725	705	43	there	there	EX
14725	705	44	be	be	VB
14725	705	45	imagined	imagine	VBN
14725	705	46	a	a	DT
14725	705	47	plane	plane	NN
14725	705	48	passing	pass	VBG
14725	705	49	through	through	IN
14725	705	50	the	the	DT
14725	705	51	same	same	JJ
14725	705	52	CH	CH	NNP
14725	705	53	and	and	CC
14725	705	54	through	through	IN
14725	705	55	CM	CM	NNP
14725	705	56	(	(	-LRB-
14725	705	57	which	which	WDT
14725	705	58	I	-PRON-	PRP
14725	705	59	suppose	suppose	VBP
14725	705	60	to	to	TO
14725	705	61	be	be	VB
14725	705	62	the	the	DT
14725	705	63	refraction	refraction	NN
14725	705	64	of	of	IN
14725	705	65	the	the	DT
14725	705	66	perpendicular	perpendicular	JJ
14725	705	67	ray	ray	NN
14725	705	68	)	)	-RRB-
14725	705	69	,	,	,
14725	705	70	which	which	WDT
14725	705	71	makes	make	VBZ
14725	705	72	in	in	IN
14725	705	73	the	the	DT
14725	705	74	spheroid	spheroid	NN
14725	705	75	the	the	DT
14725	705	76	elliptical	elliptical	JJ
14725	705	77	section	section	NN
14725	705	78	HME	HME	NNP
14725	705	79	.	.	.
14725	706	1	It	-PRON-	PRP
14725	706	2	is	be	VBZ
14725	706	3	certain	certain	JJ
14725	706	4	that	that	IN
14725	706	5	the	the	DT
14725	706	6	plane	plane	NN
14725	706	7	which	which	WDT
14725	706	8	will	will	MD
14725	706	9	pass	pass	VB
14725	706	10	through	through	IN
14725	706	11	the	the	DT
14725	706	12	straight	straight	JJ
14725	706	13	line	line	NN
14725	706	14	KT	KT	NNP
14725	706	15	,	,	,
14725	706	16	and	and	CC
14725	706	17	which	which	WDT
14725	706	18	will	will	MD
14725	706	19	touch	touch	VB
14725	706	20	the	the	DT
14725	706	21	spheroid	spheroid	NN
14725	706	22	,	,	,
14725	706	23	will	will	MD
14725	706	24	touch	touch	VB
14725	706	25	it	-PRON-	PRP
14725	706	26	at	at	IN
14725	706	27	a	a	DT
14725	706	28	point	point	NN
14725	706	29	in	in	IN
14725	706	30	the	the	DT
14725	706	31	Ellipse	Ellipse	NNP
14725	706	32	HME	HME	NNP
14725	706	33	,	,	,
14725	706	34	according	accord	VBG
14725	706	35	to	to	IN
14725	706	36	the	the	DT
14725	706	37	Lemma	Lemma	NNP
14725	706	38	which	which	WDT
14725	706	39	will	will	MD
14725	706	40	be	be	VB
14725	706	41	demonstrated	demonstrate	VBN
14725	706	42	at	at	IN
14725	706	43	the	the	DT
14725	706	44	end	end	NN
14725	706	45	of	of	IN
14725	706	46	the	the	DT
14725	706	47	Chapter	chapter	NN
14725	706	48	.	.	.
14725	707	1	Now	now	RB
14725	707	2	this	this	DT
14725	707	3	point	point	NN
14725	707	4	is	be	VBZ
14725	707	5	necessarily	necessarily	RB
14725	707	6	the	the	DT
14725	707	7	point	point	NN
14725	707	8	I	-PRON-	PRP
14725	707	9	which	which	WDT
14725	707	10	is	be	VBZ
14725	707	11	sought	seek	VBN
14725	707	12	,	,	,
14725	707	13	since	since	IN
14725	707	14	the	the	DT
14725	707	15	plane	plane	NN
14725	707	16	drawn	draw	VBN
14725	707	17	through	through	IN
14725	707	18	TK	TK	NNP
14725	707	19	can	can	MD
14725	707	20	touch	touch	VB
14725	707	21	the	the	DT
14725	707	22	spheroid	spheroid	NN
14725	707	23	at	at	IN
14725	707	24	one	one	CD
14725	707	25	point	point	NN
14725	707	26	only	only	RB
14725	707	27	.	.	.
14725	708	1	And	and	CC
14725	708	2	this	this	DT
14725	708	3	point	point	NN
14725	708	4	I	-PRON-	PRP
14725	708	5	is	be	VBZ
14725	708	6	easy	easy	JJ
14725	708	7	to	to	TO
14725	708	8	determine	determine	VB
14725	708	9	,	,	,
14725	708	10	since	since	IN
14725	708	11	it	-PRON-	PRP
14725	708	12	is	be	VBZ
14725	708	13	needful	needful	JJ
14725	708	14	only	only	RB
14725	708	15	to	to	TO
14725	708	16	draw	draw	VB
14725	708	17	from	from	IN
14725	708	18	the	the	DT
14725	708	19	point	point	NN
14725	708	20	T	T	NNP
14725	708	21	,	,	,
14725	708	22	which	which	WDT
14725	708	23	is	be	VBZ
14725	708	24	in	in	IN
14725	708	25	the	the	DT
14725	708	26	plane	plane	NN
14725	708	27	of	of	IN
14725	708	28	this	this	DT
14725	708	29	Ellipse	Ellipse	NNP
14725	708	30	,	,	,
14725	708	31	the	the	DT
14725	708	32	tangent	tangent	NN
14725	708	33	TI	TI	NNP
14725	708	34	,	,	,
14725	708	35	in	in	IN
14725	708	36	the	the	DT
14725	708	37	way	way	NN
14725	708	38	shown	show	VBN
14725	708	39	previously	previously	RB
14725	708	40	.	.	.
14725	709	1	For	for	IN
14725	709	2	the	the	DT
14725	709	3	Ellipse	Ellipse	NNP
14725	709	4	HME	HME	NNP
14725	709	5	is	be	VBZ
14725	709	6	given	give	VBN
14725	709	7	,	,	,
14725	709	8	and	and	CC
14725	709	9	its	-PRON-	PRP$
14725	709	10	conjugate	conjugate	JJ
14725	709	11	semi	semi	NN
14725	709	12	-	-	NNS
14725	709	13	diameters	diameter	NNS
14725	709	14	are	be	VBP
14725	709	15	CH	CH	NNP
14725	709	16	and	and	CC
14725	709	17	CM	CM	NNP
14725	709	18	;	;	:
14725	709	19	because	because	IN
14725	709	20	a	a	DT
14725	709	21	straight	straight	JJ
14725	709	22	line	line	NN
14725	709	23	drawn	draw	VBN
14725	709	24	through	through	IN
14725	709	25	M	M	NNP
14725	709	26	,	,	,
14725	709	27	parallel	parallel	JJ
14725	709	28	to	to	IN
14725	709	29	HE	he	PRP
14725	709	30	,	,	,
14725	709	31	touches	touch	VBZ
14725	709	32	the	the	DT
14725	709	33	Ellipse	Ellipse	NNP
14725	709	34	HME	HME	NNP
14725	709	35	,	,	,
14725	709	36	as	as	IN
14725	709	37	follows	follow	VBZ
14725	709	38	from	from	IN
14725	709	39	the	the	DT
14725	709	40	fact	fact	NN
14725	709	41	that	that	IN
14725	709	42	a	a	DT
14725	709	43	plane	plane	NN
14725	709	44	taken	take	VBN
14725	709	45	through	through	IN
14725	709	46	M	M	NNP
14725	709	47	,	,	,
14725	709	48	and	and	CC
14725	709	49	parallel	parallel	NN
14725	709	50	to	to	IN
14725	709	51	the	the	DT
14725	709	52	plane	plane	NN
14725	709	53	HDE	HDE	NNP
14725	709	54	,	,	,
14725	709	55	touches	touch	VBZ
14725	709	56	the	the	DT
14725	709	57	spheroid	spheroid	NN
14725	709	58	at	at	IN
14725	709	59	that	that	DT
14725	709	60	point	point	NN
14725	709	61	M	M	NNP
14725	709	62	,	,	,
14725	709	63	as	as	IN
14725	709	64	is	be	VBZ
14725	709	65	seen	see	VBN
14725	709	66	from	from	IN
14725	709	67	Articles	Articles	NNP
14725	709	68	27	27	CD
14725	709	69	and	and	CC
14725	709	70	23	23	CD
14725	709	71	.	.	.
14725	710	1	For	for	IN
14725	710	2	the	the	DT
14725	710	3	rest	rest	NN
14725	710	4	,	,	,
14725	710	5	the	the	DT
14725	710	6	position	position	NN
14725	710	7	of	of	IN
14725	710	8	this	this	DT
14725	710	9	ellipse	ellipse	NN
14725	710	10	,	,	,
14725	710	11	with	with	IN
14725	710	12	respect	respect	NN
14725	710	13	to	to	IN
14725	710	14	the	the	DT
14725	710	15	plane	plane	NN
14725	710	16	through	through	IN
14725	710	17	the	the	DT
14725	710	18	ray	ray	NN
14725	710	19	RC	rc	NN
14725	710	20	and	and	CC
14725	710	21	through	through	IN
14725	710	22	CK	CK	NNP
14725	710	23	,	,	,
14725	710	24	is	be	VBZ
14725	710	25	also	also	RB
14725	710	26	given	give	VBN
14725	710	27	;	;	:
14725	710	28	from	from	IN
14725	710	29	which	which	WDT
14725	710	30	it	-PRON-	PRP
14725	710	31	will	will	MD
14725	710	32	be	be	VB
14725	710	33	easy	easy	JJ
14725	710	34	to	to	TO
14725	710	35	find	find	VB
14725	710	36	the	the	DT
14725	710	37	position	position	NN
14725	710	38	of	of	IN
14725	710	39	CI	CI	NNP
14725	710	40	,	,	,
14725	710	41	the	the	DT
14725	710	42	refraction	refraction	NN
14725	710	43	corresponding	correspond	VBG
14725	710	44	to	to	IN
14725	710	45	the	the	DT
14725	710	46	ray	ray	NN
14725	710	47	RC	RC	NNP
14725	710	48	.	.	.
14725	711	1	Now	now	RB
14725	711	2	it	-PRON-	PRP
14725	711	3	must	must	MD
14725	711	4	be	be	VB
14725	711	5	noted	note	VBN
14725	711	6	that	that	IN
14725	711	7	the	the	DT
14725	711	8	same	same	JJ
14725	711	9	ellipse	ellipse	NN
14725	711	10	HME	HME	NNP
14725	711	11	serves	serve	VBZ
14725	711	12	to	to	TO
14725	711	13	find	find	VB
14725	711	14	the	the	DT
14725	711	15	refractions	refraction	NNS
14725	711	16	of	of	IN
14725	711	17	any	any	DT
14725	711	18	other	other	JJ
14725	711	19	ray	ray	NN
14725	711	20	which	which	WDT
14725	711	21	may	may	MD
14725	711	22	be	be	VB
14725	711	23	in	in	IN
14725	711	24	the	the	DT
14725	711	25	plane	plane	NN
14725	711	26	through	through	IN
14725	711	27	RC	RC	NNP
14725	711	28	and	and	CC
14725	711	29	CK	CK	NNP
14725	711	30	.	.	.
14725	712	1	Because	because	IN
14725	712	2	every	every	DT
14725	712	3	plane	plane	NN
14725	712	4	,	,	,
14725	712	5	parallel	parallel	JJ
14725	712	6	to	to	IN
14725	712	7	the	the	DT
14725	712	8	straight	straight	JJ
14725	712	9	line	line	NN
14725	712	10	HF	HF	NNP
14725	712	11	,	,	,
14725	712	12	or	or	CC
14725	712	13	TK	TK	NNP
14725	712	14	,	,	,
14725	712	15	which	which	WDT
14725	712	16	will	will	MD
14725	712	17	touch	touch	VB
14725	712	18	the	the	DT
14725	712	19	spheroid	spheroid	NN
14725	712	20	,	,	,
14725	712	21	will	will	MD
14725	712	22	touch	touch	VB
14725	712	23	it	-PRON-	PRP
14725	712	24	in	in	IN
14725	712	25	this	this	DT
14725	712	26	ellipse	ellipse	NN
14725	712	27	,	,	,
14725	712	28	according	accord	VBG
14725	712	29	to	to	IN
14725	712	30	the	the	DT
14725	712	31	Lemma	Lemma	NNP
14725	712	32	quoted	quote	VBD
14725	712	33	a	a	DT
14725	712	34	little	little	JJ
14725	712	35	before	before	RB
14725	712	36	.	.	.
14725	713	1	I	-PRON-	PRP
14725	713	2	have	have	VBP
14725	713	3	investigated	investigate	VBN
14725	713	4	thus	thus	RB
14725	713	5	,	,	,
14725	713	6	in	in	IN
14725	713	7	minute	minute	NN
14725	713	8	detail	detail	NN
14725	713	9	,	,	,
14725	713	10	the	the	DT
14725	713	11	properties	property	NNS
14725	713	12	of	of	IN
14725	713	13	the	the	DT
14725	713	14	irregular	irregular	JJ
14725	713	15	refraction	refraction	NN
14725	713	16	of	of	IN
14725	713	17	this	this	DT
14725	713	18	Crystal	Crystal	NNP
14725	713	19	,	,	,
14725	713	20	in	in	IN
14725	713	21	order	order	NN
14725	713	22	to	to	TO
14725	713	23	see	see	VB
14725	713	24	whether	whether	IN
14725	713	25	each	each	DT
14725	713	26	phenomenon	phenomenon	NN
14725	713	27	that	that	WDT
14725	713	28	is	be	VBZ
14725	713	29	deduced	deduce	VBN
14725	713	30	from	from	IN
14725	713	31	our	-PRON-	PRP$
14725	713	32	hypothesis	hypothesis	NN
14725	713	33	accords	accord	NNS
14725	713	34	with	with	IN
14725	713	35	that	that	DT
14725	713	36	which	which	WDT
14725	713	37	is	be	VBZ
14725	713	38	observed	observe	VBN
14725	713	39	in	in	IN
14725	713	40	fact	fact	NN
14725	713	41	.	.	.
14725	714	1	And	and	CC
14725	714	2	this	this	DT
14725	714	3	being	be	VBG
14725	714	4	so	so	RB
14725	714	5	it	-PRON-	PRP
14725	714	6	affords	afford	VBZ
14725	714	7	no	no	DT
14725	714	8	slight	slight	JJ
14725	714	9	proof	proof	NN
14725	714	10	of	of	IN
14725	714	11	the	the	DT
14725	714	12	truth	truth	NN
14725	714	13	of	of	IN
14725	714	14	our	-PRON-	PRP$
14725	714	15	suppositions	supposition	NNS
14725	714	16	and	and	CC
14725	714	17	principles	principle	NNS
14725	714	18	.	.	.
14725	715	1	But	but	CC
14725	715	2	what	what	WP
14725	715	3	I	-PRON-	PRP
14725	715	4	am	be	VBP
14725	715	5	going	go	VBG
14725	715	6	to	to	TO
14725	715	7	add	add	VB
14725	715	8	here	here	RB
14725	715	9	confirms	confirm	VBZ
14725	715	10	them	-PRON-	PRP
14725	715	11	again	again	RB
14725	715	12	marvellously	marvellously	RB
14725	715	13	.	.	.
14725	716	1	It	-PRON-	PRP
14725	716	2	is	be	VBZ
14725	716	3	this	this	DT
14725	716	4	:	:	:
14725	716	5	that	that	IN
14725	716	6	there	there	EX
14725	716	7	are	be	VBP
14725	716	8	different	different	JJ
14725	716	9	sections	section	NNS
14725	716	10	of	of	IN
14725	716	11	this	this	DT
14725	716	12	Crystal	Crystal	NNP
14725	716	13	,	,	,
14725	716	14	the	the	DT
14725	716	15	surfaces	surface	NNS
14725	716	16	of	of	IN
14725	716	17	which	which	WDT
14725	716	18	,	,	,
14725	716	19	thereby	thereby	RB
14725	716	20	produced	produce	VBN
14725	716	21	,	,	,
14725	716	22	give	give	VB
14725	716	23	rise	rise	NN
14725	716	24	to	to	IN
14725	716	25	refractions	refraction	NNS
14725	716	26	precisely	precisely	RB
14725	716	27	such	such	JJ
14725	716	28	as	as	IN
14725	716	29	they	-PRON-	PRP
14725	716	30	ought	ought	MD
14725	716	31	to	to	TO
14725	716	32	be	be	VB
14725	716	33	,	,	,
14725	716	34	and	and	CC
14725	716	35	as	as	IN
14725	716	36	I	-PRON-	PRP
14725	716	37	had	have	VBD
14725	716	38	foreseen	foresee	VBN
14725	716	39	them	-PRON-	PRP
14725	716	40	,	,	,
14725	716	41	according	accord	VBG
14725	716	42	to	to	IN
14725	716	43	the	the	DT
14725	716	44	preceding	precede	VBG
14725	716	45	Theory	theory	NN
14725	716	46	.	.	.
14725	717	1	In	in	IN
14725	717	2	order	order	NN
14725	717	3	to	to	TO
14725	717	4	explain	explain	VB
14725	717	5	what	what	WP
14725	717	6	these	these	DT
14725	717	7	sections	section	NNS
14725	717	8	are	be	VBP
14725	717	9	,	,	,
14725	717	10	let	let	VB
14725	717	11	ABKF	ABKF	NNP
14725	717	12	_	_	NNP
14725	717	13	be	be	VB
14725	717	14	_	_	NNP
14725	717	15	the	the	DT
14725	717	16	principal	principal	JJ
14725	717	17	section	section	NN
14725	717	18	through	through	IN
14725	717	19	the	the	DT
14725	717	20	axis	axis	NN
14725	717	21	of	of	IN
14725	717	22	the	the	DT
14725	717	23	crystal	crystal	NN
14725	717	24	ACK	ACK	NNP
14725	717	25	,	,	,
14725	717	26	in	in	IN
14725	717	27	which	which	WDT
14725	717	28	there	there	EX
14725	717	29	will	will	MD
14725	717	30	also	also	RB
14725	717	31	be	be	VB
14725	717	32	the	the	DT
14725	717	33	axis	axis	JJ
14725	717	34	SS	ss	NN
14725	717	35	of	of	IN
14725	717	36	a	a	DT
14725	717	37	spheroidal	spheroidal	JJ
14725	717	38	wave	wave	NN
14725	717	39	of	of	IN
14725	717	40	light	light	NN
14725	717	41	spreading	spread	VBG
14725	717	42	in	in	IN
14725	717	43	the	the	DT
14725	717	44	crystal	crystal	NN
14725	717	45	from	from	IN
14725	717	46	the	the	DT
14725	717	47	centre	centre	NN
14725	717	48	C	c	NN
14725	717	49	;	;	:
14725	717	50	and	and	CC
14725	717	51	the	the	DT
14725	717	52	straight	straight	JJ
14725	717	53	line	line	NN
14725	717	54	which	which	WDT
14725	717	55	cuts	cut	VBZ
14725	717	56	SS	SS	NNP
14725	717	57	through	through	IN
14725	717	58	the	the	DT
14725	717	59	middle	middle	NN
14725	717	60	and	and	CC
14725	717	61	at	at	IN
14725	717	62	right	right	JJ
14725	717	63	angles	angle	NNS
14725	717	64	,	,	,
14725	717	65	namely	namely	RB
14725	717	66	PP	PP	NNP
14725	717	67	,	,	,
14725	717	68	will	will	MD
14725	717	69	be	be	VB
14725	717	70	one	one	CD
14725	717	71	of	of	IN
14725	717	72	the	the	DT
14725	717	73	major	major	JJ
14725	717	74	diameters	diameter	NNS
14725	717	75	.	.	.
14725	718	1	[	[	-LRB-
14725	718	2	Illustration	illustration	NN
14725	718	3	:	:	:
14725	718	4	{	{	-LRB-
14725	718	5	Section	section	NN
14725	718	6	ABKF	ABKF	NNP
14725	718	7	}	}	-RRB-
14725	718	8	]	]	-RRB-
14725	718	9	Now	now	UH
14725	718	10	as	as	IN
14725	718	11	in	in	IN
14725	718	12	the	the	DT
14725	718	13	natural	natural	JJ
14725	718	14	section	section	NN
14725	718	15	of	of	IN
14725	718	16	the	the	DT
14725	718	17	crystal	crystal	NN
14725	718	18	,	,	,
14725	718	19	made	make	VBN
14725	718	20	by	by	IN
14725	718	21	a	a	DT
14725	718	22	plane	plane	NN
14725	718	23	parallel	parallel	NN
14725	718	24	to	to	IN
14725	718	25	two	two	CD
14725	718	26	opposite	opposite	JJ
14725	718	27	faces	face	NNS
14725	718	28	,	,	,
14725	718	29	which	which	WDT
14725	718	30	plane	plane	NN
14725	718	31	is	be	VBZ
14725	718	32	here	here	RB
14725	718	33	represented	represent	VBN
14725	718	34	by	by	IN
14725	718	35	the	the	DT
14725	718	36	line	line	NN
14725	718	37	GG	GG	NNP
14725	718	38	,	,	,
14725	718	39	the	the	DT
14725	718	40	refraction	refraction	NN
14725	718	41	of	of	IN
14725	718	42	the	the	DT
14725	718	43	surfaces	surface	NNS
14725	718	44	which	which	WDT
14725	718	45	are	be	VBP
14725	718	46	produced	produce	VBN
14725	718	47	by	by	IN
14725	718	48	it	-PRON-	PRP
14725	718	49	will	will	MD
14725	718	50	be	be	VB
14725	718	51	governed	govern	VBN
14725	718	52	by	by	IN
14725	718	53	the	the	DT
14725	718	54	hemi	hemi	NNP
14725	718	55	-	-	HYPH
14725	718	56	spheroids	spheroids	NN
14725	718	57	GNG	GNG	NNP
14725	718	58	,	,	,
14725	718	59	according	accord	VBG
14725	718	60	to	to	IN
14725	718	61	what	what	WP
14725	718	62	has	have	VBZ
14725	718	63	been	be	VBN
14725	718	64	explained	explain	VBN
14725	718	65	in	in	IN
14725	718	66	the	the	DT
14725	718	67	preceding	precede	VBG
14725	718	68	Theory	theory	NN
14725	718	69	.	.	.
14725	719	1	Similarly	similarly	RB
14725	719	2	,	,	,
14725	719	3	cutting	cut	VBG
14725	719	4	the	the	DT
14725	719	5	Crystal	Crystal	NNP
14725	719	6	through	through	IN
14725	719	7	NN	NN	NNP
14725	719	8	,	,	,
14725	719	9	by	by	IN
14725	719	10	a	a	DT
14725	719	11	plane	plane	NN
14725	719	12	perpendicular	perpendicular	JJ
14725	719	13	to	to	IN
14725	719	14	the	the	DT
14725	719	15	parallelogram	parallelogram	JJ
14725	719	16	ABKF	ABKF	NNP
14725	719	17	,	,	,
14725	719	18	the	the	DT
14725	719	19	refraction	refraction	NN
14725	719	20	of	of	IN
14725	719	21	the	the	DT
14725	719	22	surfaces	surface	NNS
14725	719	23	will	will	MD
14725	719	24	be	be	VB
14725	719	25	governed	govern	VBN
14725	719	26	by	by	IN
14725	719	27	the	the	DT
14725	719	28	hemi	hemi	NNP
14725	719	29	-	-	HYPH
14725	719	30	spheroids	spheroids	NN
14725	719	31	NGN	NGN	NNP
14725	719	32	.	.	.
14725	720	1	And	and	CC
14725	720	2	if	if	IN
14725	720	3	one	one	PRP
14725	720	4	cuts	cut	VBZ
14725	720	5	it	-PRON-	PRP
14725	720	6	through	through	IN
14725	720	7	PP	PP	NNP
14725	720	8	,	,	,
14725	720	9	perpendicularly	perpendicularly	RB
14725	720	10	to	to	IN
14725	720	11	the	the	DT
14725	720	12	said	say	VBN
14725	720	13	parallelogram	parallelogram	NN
14725	720	14	,	,	,
14725	720	15	the	the	DT
14725	720	16	refraction	refraction	NN
14725	720	17	of	of	IN
14725	720	18	the	the	DT
14725	720	19	surfaces	surface	NNS
14725	720	20	ought	ought	MD
14725	720	21	to	to	TO
14725	720	22	be	be	VB
14725	720	23	governed	govern	VBN
14725	720	24	by	by	IN
14725	720	25	the	the	DT
14725	720	26	hemi	hemi	NNP
14725	720	27	-	-	HYPH
14725	720	28	spheroids	spheroid	NNS
14725	720	29	PSP	PSP	NNP
14725	720	30	,	,	,
14725	720	31	and	and	CC
14725	720	32	so	so	RB
14725	720	33	for	for	IN
14725	720	34	others	other	NNS
14725	720	35	.	.	.
14725	721	1	But	but	CC
14725	721	2	I	-PRON-	PRP
14725	721	3	saw	see	VBD
14725	721	4	that	that	IN
14725	721	5	if	if	IN
14725	721	6	the	the	DT
14725	721	7	plane	plane	NN
14725	721	8	NN	NN	NNP
14725	721	9	was	be	VBD
14725	721	10	almost	almost	RB
14725	721	11	perpendicular	perpendicular	JJ
14725	721	12	to	to	IN
14725	721	13	the	the	DT
14725	721	14	plane	plane	NN
14725	721	15	GG	GG	NNP
14725	721	16	,	,	,
14725	721	17	making	make	VBG
14725	721	18	the	the	DT
14725	721	19	angle	angle	NN
14725	721	20	NCG	NCG	NNP
14725	721	21	,	,	,
14725	721	22	which	which	WDT
14725	721	23	is	be	VBZ
14725	721	24	on	on	IN
14725	721	25	the	the	DT
14725	721	26	side	side	NN
14725	721	27	A	a	NN
14725	721	28	,	,	,
14725	721	29	an	an	DT
14725	721	30	angle	angle	NN
14725	721	31	of	of	IN
14725	721	32	90	90	CD
14725	721	33	degrees	degree	NNS
14725	721	34	40	40	CD
14725	721	35	minutes	minute	NNS
14725	721	36	,	,	,
14725	721	37	the	the	DT
14725	721	38	hemi	hemi	NNP
14725	721	39	-	-	HYPH
14725	721	40	spheroids	spheroid	NNS
14725	721	41	NGN	NGN	NNP
14725	721	42	would	would	MD
14725	721	43	become	become	VB
14725	721	44	similar	similar	JJ
14725	721	45	to	to	IN
14725	721	46	the	the	DT
14725	721	47	hemi	hemi	JJ
14725	721	48	-	-	HYPH
14725	721	49	spheroids	spheroids	NN
14725	721	50	GNG	GNG	NNP
14725	721	51	,	,	,
14725	721	52	since	since	IN
14725	721	53	the	the	DT
14725	721	54	planes	plane	NNS
14725	721	55	NN	NN	NNP
14725	721	56	and	and	CC
14725	721	57	GG	GG	NNP
14725	721	58	were	be	VBD
14725	721	59	equally	equally	RB
14725	721	60	inclined	incline	VBN
14725	721	61	by	by	IN
14725	721	62	an	an	DT
14725	721	63	angle	angle	NN
14725	721	64	of	of	IN
14725	721	65	45	45	CD
14725	721	66	degrees	degree	NNS
14725	721	67	20	20	CD
14725	721	68	minutes	minute	NNS
14725	721	69	to	to	IN
14725	721	70	the	the	DT
14725	721	71	axis	axis	JJ
14725	721	72	SS	ss	NN
14725	721	73	.	.	.
14725	722	1	In	in	IN
14725	722	2	consequence	consequence	NN
14725	722	3	it	-PRON-	PRP
14725	722	4	must	must	MD
14725	722	5	needs	needs	VB
14725	722	6	be	be	VB
14725	722	7	,	,	,
14725	722	8	if	if	IN
14725	722	9	our	-PRON-	PRP$
14725	722	10	theory	theory	NN
14725	722	11	is	be	VBZ
14725	722	12	true	true	JJ
14725	722	13	,	,	,
14725	722	14	that	that	IN
14725	722	15	the	the	DT
14725	722	16	surfaces	surface	NNS
14725	722	17	which	which	WDT
14725	722	18	the	the	DT
14725	722	19	section	section	NN
14725	722	20	through	through	IN
14725	722	21	NN	NN	NNP
14725	722	22	produces	produce	VBZ
14725	722	23	should	should	MD
14725	722	24	effect	effect	VB
14725	722	25	the	the	DT
14725	722	26	same	same	JJ
14725	722	27	refractions	refraction	NNS
14725	722	28	as	as	IN
14725	722	29	the	the	DT
14725	722	30	surfaces	surface	NNS
14725	722	31	of	of	IN
14725	722	32	the	the	DT
14725	722	33	section	section	NN
14725	722	34	through	through	IN
14725	722	35	GG	GG	NNP
14725	722	36	.	.	.
14725	723	1	And	and	CC
14725	723	2	not	not	RB
14725	723	3	only	only	RB
14725	723	4	the	the	DT
14725	723	5	surfaces	surface	NNS
14725	723	6	of	of	IN
14725	723	7	the	the	DT
14725	723	8	section	section	NN
14725	723	9	NN	NN	NNP
14725	723	10	but	but	CC
14725	723	11	all	all	DT
14725	723	12	other	other	JJ
14725	723	13	sections	section	NNS
14725	723	14	produced	produce	VBN
14725	723	15	by	by	IN
14725	723	16	planes	plane	NNS
14725	723	17	which	which	WDT
14725	723	18	might	may	MD
14725	723	19	be	be	VB
14725	723	20	inclined	incline	VBN
14725	723	21	to	to	IN
14725	723	22	the	the	DT
14725	723	23	axis	axi	NNS
14725	723	24	at	at	IN
14725	723	25	an	an	DT
14725	723	26	angle	angle	NN
14725	723	27	equal	equal	JJ
14725	723	28	to	to	IN
14725	723	29	45	45	CD
14725	723	30	degrees	degree	NNS
14725	723	31	20	20	CD
14725	723	32	minutes	minute	NNS
14725	723	33	.	.	.
14725	724	1	So	so	IN
14725	724	2	that	that	IN
14725	724	3	there	there	EX
14725	724	4	are	be	VBP
14725	724	5	an	an	DT
14725	724	6	infinitude	infinitude	NN
14725	724	7	of	of	IN
14725	724	8	planes	plane	NNS
14725	724	9	which	which	WDT
14725	724	10	ought	ought	MD
14725	724	11	to	to	TO
14725	724	12	produce	produce	VB
14725	724	13	precisely	precisely	RB
14725	724	14	the	the	DT
14725	724	15	same	same	JJ
14725	724	16	refractions	refraction	NNS
14725	724	17	as	as	IN
14725	724	18	the	the	DT
14725	724	19	natural	natural	JJ
14725	724	20	surfaces	surface	NNS
14725	724	21	of	of	IN
14725	724	22	the	the	DT
14725	724	23	crystal	crystal	NN
14725	724	24	,	,	,
14725	724	25	or	or	CC
14725	724	26	as	as	IN
14725	724	27	the	the	DT
14725	724	28	section	section	NN
14725	724	29	parallel	parallel	JJ
14725	724	30	to	to	IN
14725	724	31	any	any	DT
14725	724	32	one	one	CD
14725	724	33	of	of	IN
14725	724	34	those	those	DT
14725	724	35	surfaces	surface	NNS
14725	724	36	which	which	WDT
14725	724	37	are	be	VBP
14725	724	38	made	make	VBN
14725	724	39	by	by	IN
14725	724	40	cleavage	cleavage	NN
14725	724	41	.	.	.
14725	725	1	I	-PRON-	PRP
14725	725	2	saw	see	VBD
14725	725	3	also	also	RB
14725	725	4	that	that	IN
14725	725	5	by	by	IN
14725	725	6	cutting	cut	VBG
14725	725	7	it	-PRON-	PRP
14725	725	8	by	by	IN
14725	725	9	a	a	DT
14725	725	10	plane	plane	NN
14725	725	11	taken	take	VBN
14725	725	12	through	through	IN
14725	725	13	PP	PP	NNP
14725	725	14	,	,	,
14725	725	15	and	and	CC
14725	725	16	perpendicular	perpendicular	JJ
14725	725	17	to	to	IN
14725	725	18	the	the	DT
14725	725	19	axis	axis	JJ
14725	725	20	SS	ss	NN
14725	725	21	,	,	,
14725	725	22	the	the	DT
14725	725	23	refraction	refraction	NN
14725	725	24	of	of	IN
14725	725	25	the	the	DT
14725	725	26	surfaces	surface	NNS
14725	725	27	ought	ought	MD
14725	725	28	to	to	TO
14725	725	29	be	be	VB
14725	725	30	such	such	JJ
14725	725	31	that	that	IN
14725	725	32	the	the	DT
14725	725	33	perpendicular	perpendicular	JJ
14725	725	34	ray	ray	NN
14725	725	35	should	should	MD
14725	725	36	suffer	suffer	VB
14725	725	37	thereby	thereby	RB
14725	725	38	no	no	DT
14725	725	39	deviation	deviation	NN
14725	725	40	;	;	:
14725	725	41	and	and	CC
14725	725	42	that	that	IN
14725	725	43	for	for	IN
14725	725	44	oblique	oblique	JJ
14725	725	45	rays	ray	NNS
14725	725	46	there	there	EX
14725	725	47	would	would	MD
14725	725	48	always	always	RB
14725	725	49	be	be	VB
14725	725	50	an	an	DT
14725	725	51	irregular	irregular	JJ
14725	725	52	refraction	refraction	NN
14725	725	53	,	,	,
14725	725	54	differing	differ	VBG
14725	725	55	from	from	IN
14725	725	56	the	the	DT
14725	725	57	regular	regular	JJ
14725	725	58	,	,	,
14725	725	59	and	and	CC
14725	725	60	by	by	IN
14725	725	61	which	which	WDT
14725	725	62	objects	object	NNS
14725	725	63	placed	place	VBN
14725	725	64	beneath	beneath	IN
14725	725	65	the	the	DT
14725	725	66	crystal	crystal	NN
14725	725	67	would	would	MD
14725	725	68	be	be	VB
14725	725	69	less	less	RBR
14725	725	70	elevated	elevated	JJ
14725	725	71	than	than	IN
14725	725	72	by	by	IN
14725	725	73	that	that	DT
14725	725	74	other	other	JJ
14725	725	75	refraction	refraction	NN
14725	725	76	.	.	.
14725	726	1	That	that	IN
14725	726	2	,	,	,
14725	726	3	similarly	similarly	RB
14725	726	4	,	,	,
14725	726	5	by	by	IN
14725	726	6	cutting	cut	VBG
14725	726	7	the	the	DT
14725	726	8	crystal	crystal	NN
14725	726	9	by	by	IN
14725	726	10	any	any	DT
14725	726	11	plane	plane	NN
14725	726	12	through	through	IN
14725	726	13	the	the	DT
14725	726	14	axis	axis	JJ
14725	726	15	SS	ss	NN
14725	726	16	,	,	,
14725	726	17	such	such	JJ
14725	726	18	as	as	IN
14725	726	19	the	the	DT
14725	726	20	plane	plane	NN
14725	726	21	of	of	IN
14725	726	22	the	the	DT
14725	726	23	figure	figure	NN
14725	726	24	is	be	VBZ
14725	726	25	,	,	,
14725	726	26	the	the	DT
14725	726	27	perpendicular	perpendicular	JJ
14725	726	28	ray	ray	NN
14725	726	29	ought	ought	MD
14725	726	30	to	to	TO
14725	726	31	suffer	suffer	VB
14725	726	32	no	no	DT
14725	726	33	refraction	refraction	NN
14725	726	34	;	;	:
14725	726	35	and	and	CC
14725	726	36	that	that	IN
14725	726	37	for	for	IN
14725	726	38	oblique	oblique	JJ
14725	726	39	rays	ray	NNS
14725	726	40	there	there	EX
14725	726	41	were	be	VBD
14725	726	42	different	different	JJ
14725	726	43	measures	measure	NNS
14725	726	44	for	for	IN
14725	726	45	the	the	DT
14725	726	46	irregular	irregular	JJ
14725	726	47	refraction	refraction	NN
14725	726	48	according	accord	VBG
14725	726	49	to	to	IN
14725	726	50	the	the	DT
14725	726	51	situation	situation	NN
14725	726	52	of	of	IN
14725	726	53	the	the	DT
14725	726	54	plane	plane	NN
14725	726	55	in	in	IN
14725	726	56	which	which	WDT
14725	726	57	the	the	DT
14725	726	58	incident	incident	NN
14725	726	59	ray	ray	NN
14725	726	60	was	be	VBD
14725	726	61	.	.	.
14725	727	1	Now	now	RB
14725	727	2	these	these	DT
14725	727	3	things	thing	NNS
14725	727	4	were	be	VBD
14725	727	5	found	find	VBN
14725	727	6	in	in	IN
14725	727	7	fact	fact	NN
14725	727	8	so	so	RB
14725	727	9	;	;	:
14725	727	10	and	and	CC
14725	727	11	,	,	,
14725	727	12	after	after	IN
14725	727	13	that	that	DT
14725	727	14	,	,	,
14725	727	15	I	-PRON-	PRP
14725	727	16	could	could	MD
14725	727	17	not	not	RB
14725	727	18	doubt	doubt	VB
14725	727	19	that	that	IN
14725	727	20	a	a	DT
14725	727	21	similar	similar	JJ
14725	727	22	success	success	NN
14725	727	23	could	could	MD
14725	727	24	be	be	VB
14725	727	25	met	meet	VBN
14725	727	26	with	with	IN
14725	727	27	everywhere	everywhere	RB
14725	727	28	.	.	.
14725	728	1	Whence	whence	UH
14725	728	2	I	-PRON-	PRP
14725	728	3	concluded	conclude	VBD
14725	728	4	that	that	IN
14725	728	5	one	one	PRP
14725	728	6	might	may	MD
14725	728	7	form	form	VB
14725	728	8	from	from	IN
14725	728	9	this	this	DT
14725	728	10	crystal	crystal	NN
14725	728	11	solids	solid	NNS
14725	728	12	similar	similar	JJ
14725	728	13	to	to	IN
14725	728	14	those	those	DT
14725	728	15	which	which	WDT
14725	728	16	are	be	VBP
14725	728	17	its	-PRON-	PRP$
14725	728	18	natural	natural	JJ
14725	728	19	forms	form	NNS
14725	728	20	,	,	,
14725	728	21	which	which	WDT
14725	728	22	should	should	MD
14725	728	23	produce	produce	VB
14725	728	24	,	,	,
14725	728	25	at	at	IN
14725	728	26	all	all	DT
14725	728	27	their	-PRON-	PRP$
14725	728	28	surfaces	surface	NNS
14725	728	29	,	,	,
14725	728	30	the	the	DT
14725	728	31	same	same	JJ
14725	728	32	regular	regular	JJ
14725	728	33	and	and	CC
14725	728	34	irregular	irregular	JJ
14725	728	35	refractions	refraction	NNS
14725	728	36	as	as	IN
14725	728	37	the	the	DT
14725	728	38	natural	natural	JJ
14725	728	39	surfaces	surface	NNS
14725	728	40	,	,	,
14725	728	41	and	and	CC
14725	728	42	which	which	WDT
14725	728	43	nevertheless	nevertheless	RB
14725	728	44	would	would	MD
14725	728	45	cleave	cleave	VB
14725	728	46	in	in	IN
14725	728	47	quite	quite	JJ
14725	728	48	other	other	JJ
14725	728	49	ways	way	NNS
14725	728	50	,	,	,
14725	728	51	and	and	CC
14725	728	52	not	not	RB
14725	728	53	in	in	IN
14725	728	54	directions	direction	NNS
14725	728	55	parallel	parallel	JJ
14725	728	56	to	to	IN
14725	728	57	any	any	DT
14725	728	58	of	of	IN
14725	728	59	their	-PRON-	PRP$
14725	728	60	faces	face	NNS
14725	728	61	.	.	.
14725	729	1	That	that	IN
14725	729	2	out	out	IN
14725	729	3	of	of	IN
14725	729	4	it	-PRON-	PRP
14725	729	5	one	one	PRP
14725	729	6	would	would	MD
14725	729	7	be	be	VB
14725	729	8	able	able	JJ
14725	729	9	to	to	TO
14725	729	10	fashion	fashion	VB
14725	729	11	pyramids	pyramid	NNS
14725	729	12	,	,	,
14725	729	13	having	have	VBG
14725	729	14	their	-PRON-	PRP$
14725	729	15	base	base	NN
14725	729	16	square	square	NN
14725	729	17	,	,	,
14725	729	18	pentagonal	pentagonal	JJ
14725	729	19	,	,	,
14725	729	20	hexagonal	hexagonal	JJ
14725	729	21	,	,	,
14725	729	22	or	or	CC
14725	729	23	with	with	IN
14725	729	24	as	as	RB
14725	729	25	many	many	JJ
14725	729	26	sides	side	NNS
14725	729	27	as	as	IN
14725	729	28	one	one	CD
14725	729	29	desired	desire	VBD
14725	729	30	,	,	,
14725	729	31	all	all	PDT
14725	729	32	the	the	DT
14725	729	33	surfaces	surface	NNS
14725	729	34	of	of	IN
14725	729	35	which	which	WDT
14725	729	36	should	should	MD
14725	729	37	have	have	VB
14725	729	38	the	the	DT
14725	729	39	same	same	JJ
14725	729	40	refractions	refraction	NNS
14725	729	41	as	as	IN
14725	729	42	the	the	DT
14725	729	43	natural	natural	JJ
14725	729	44	surfaces	surface	NNS
14725	729	45	of	of	IN
14725	729	46	the	the	DT
14725	729	47	crystal	crystal	NN
14725	729	48	,	,	,
14725	729	49	except	except	IN
14725	729	50	the	the	DT
14725	729	51	base	base	NN
14725	729	52	,	,	,
14725	729	53	which	which	WDT
14725	729	54	will	will	MD
14725	729	55	not	not	RB
14725	729	56	refract	refract	VB
14725	729	57	the	the	DT
14725	729	58	perpendicular	perpendicular	JJ
14725	729	59	ray	ray	NN
14725	729	60	.	.	.
14725	730	1	These	these	DT
14725	730	2	surfaces	surface	NNS
14725	730	3	will	will	MD
14725	730	4	each	each	DT
14725	730	5	make	make	VB
14725	730	6	an	an	DT
14725	730	7	angle	angle	NN
14725	730	8	of	of	IN
14725	730	9	45	45	CD
14725	730	10	degrees	degree	NNS
14725	730	11	20	20	CD
14725	730	12	minutes	minute	NNS
14725	730	13	with	with	IN
14725	730	14	the	the	DT
14725	730	15	axis	axi	NNS
14725	730	16	of	of	IN
14725	730	17	the	the	DT
14725	730	18	crystal	crystal	NN
14725	730	19	,	,	,
14725	730	20	and	and	CC
14725	730	21	the	the	DT
14725	730	22	base	base	NN
14725	730	23	will	will	MD
14725	730	24	be	be	VB
14725	730	25	the	the	DT
14725	730	26	section	section	NN
14725	730	27	perpendicular	perpendicular	JJ
14725	730	28	to	to	IN
14725	730	29	the	the	DT
14725	730	30	axis	axi	NNS
14725	730	31	.	.	.
14725	731	1	That	that	IN
14725	731	2	,	,	,
14725	731	3	finally	finally	RB
14725	731	4	,	,	,
14725	731	5	one	one	PRP
14725	731	6	could	could	MD
14725	731	7	also	also	RB
14725	731	8	fashion	fashion	VB
14725	731	9	out	out	IN
14725	731	10	of	of	IN
14725	731	11	it	-PRON-	PRP
14725	731	12	triangular	triangular	JJ
14725	731	13	prisms	prism	NNS
14725	731	14	,	,	,
14725	731	15	or	or	CC
14725	731	16	prisms	prism	NNS
14725	731	17	with	with	IN
14725	731	18	as	as	RB
14725	731	19	many	many	JJ
14725	731	20	sides	side	NNS
14725	731	21	as	as	IN
14725	731	22	one	one	PRP
14725	731	23	would	would	MD
14725	731	24	,	,	,
14725	731	25	of	of	IN
14725	731	26	which	which	WDT
14725	731	27	neither	neither	CC
14725	731	28	the	the	DT
14725	731	29	sides	side	NNS
14725	731	30	nor	nor	CC
14725	731	31	the	the	DT
14725	731	32	bases	basis	NNS
14725	731	33	would	would	MD
14725	731	34	refract	refract	VB
14725	731	35	the	the	DT
14725	731	36	perpendicular	perpendicular	JJ
14725	731	37	ray	ray	NN
14725	731	38	,	,	,
14725	731	39	although	although	IN
14725	731	40	they	-PRON-	PRP
14725	731	41	would	would	MD
14725	731	42	yet	yet	RB
14725	731	43	all	all	RB
14725	731	44	cause	cause	VB
14725	731	45	double	double	JJ
14725	731	46	refraction	refraction	NN
14725	731	47	for	for	IN
14725	731	48	oblique	oblique	JJ
14725	731	49	rays	ray	NNS
14725	731	50	.	.	.
14725	732	1	The	the	DT
14725	732	2	cube	cube	NN
14725	732	3	is	be	VBZ
14725	732	4	included	include	VBN
14725	732	5	amongst	amongst	IN
14725	732	6	these	these	DT
14725	732	7	prisms	prism	NNS
14725	732	8	,	,	,
14725	732	9	the	the	DT
14725	732	10	bases	basis	NNS
14725	732	11	of	of	IN
14725	732	12	which	which	WDT
14725	732	13	are	be	VBP
14725	732	14	sections	section	NNS
14725	732	15	perpendicular	perpendicular	JJ
14725	732	16	to	to	IN
14725	732	17	the	the	DT
14725	732	18	axis	axi	NNS
14725	732	19	of	of	IN
14725	732	20	the	the	DT
14725	732	21	crystal	crystal	NN
14725	732	22	,	,	,
14725	732	23	and	and	CC
14725	732	24	the	the	DT
14725	732	25	sides	side	NNS
14725	732	26	are	be	VBP
14725	732	27	sections	section	NNS
14725	732	28	parallel	parallel	JJ
14725	732	29	to	to	IN
14725	732	30	the	the	DT
14725	732	31	same	same	JJ
14725	732	32	axis	axis	NN
14725	732	33	.	.	.
14725	733	1	From	from	IN
14725	733	2	all	all	PDT
14725	733	3	this	this	DT
14725	733	4	it	-PRON-	PRP
14725	733	5	further	further	RB
14725	733	6	appears	appear	VBZ
14725	733	7	that	that	IN
14725	733	8	it	-PRON-	PRP
14725	733	9	is	be	VBZ
14725	733	10	not	not	RB
14725	733	11	at	at	RB
14725	733	12	all	all	RB
14725	733	13	in	in	IN
14725	733	14	the	the	DT
14725	733	15	disposition	disposition	NN
14725	733	16	of	of	IN
14725	733	17	the	the	DT
14725	733	18	layers	layer	NNS
14725	733	19	of	of	IN
14725	733	20	which	which	WDT
14725	733	21	this	this	DT
14725	733	22	crystal	crystal	NN
14725	733	23	seems	seem	VBZ
14725	733	24	to	to	TO
14725	733	25	be	be	VB
14725	733	26	composed	compose	VBN
14725	733	27	,	,	,
14725	733	28	and	and	CC
14725	733	29	according	accord	VBG
14725	733	30	to	to	IN
14725	733	31	which	which	WDT
14725	733	32	it	-PRON-	PRP
14725	733	33	splits	split	VBZ
14725	733	34	in	in	IN
14725	733	35	three	three	CD
14725	733	36	different	different	JJ
14725	733	37	senses	sense	NNS
14725	733	38	,	,	,
14725	733	39	that	that	IN
14725	733	40	the	the	DT
14725	733	41	cause	cause	NN
14725	733	42	resides	reside	VBZ
14725	733	43	of	of	IN
14725	733	44	its	-PRON-	PRP$
14725	733	45	irregular	irregular	JJ
14725	733	46	refraction	refraction	NN
14725	733	47	;	;	:
14725	733	48	and	and	CC
14725	733	49	that	that	IN
14725	733	50	it	-PRON-	PRP
14725	733	51	would	would	MD
14725	733	52	be	be	VB
14725	733	53	in	in	IN
14725	733	54	vain	vain	JJ
14725	733	55	to	to	TO
14725	733	56	wish	wish	VB
14725	733	57	to	to	TO
14725	733	58	seek	seek	VB
14725	733	59	it	-PRON-	PRP
14725	733	60	there	there	RB
14725	733	61	.	.	.
14725	734	1	But	but	CC
14725	734	2	in	in	IN
14725	734	3	order	order	NN
14725	734	4	that	that	IN
14725	734	5	any	any	DT
14725	734	6	one	one	NN
14725	734	7	who	who	WP
14725	734	8	has	have	VBZ
14725	734	9	some	some	DT
14725	734	10	of	of	IN
14725	734	11	this	this	DT
14725	734	12	stone	stone	NN
14725	734	13	may	may	MD
14725	734	14	be	be	VB
14725	734	15	able	able	JJ
14725	734	16	to	to	TO
14725	734	17	find	find	VB
14725	734	18	,	,	,
14725	734	19	by	by	IN
14725	734	20	his	-PRON-	PRP$
14725	734	21	own	own	JJ
14725	734	22	experience	experience	NN
14725	734	23	,	,	,
14725	734	24	the	the	DT
14725	734	25	truth	truth	NN
14725	734	26	of	of	IN
14725	734	27	what	what	WP
14725	734	28	I	-PRON-	PRP
14725	734	29	have	have	VBP
14725	734	30	just	just	RB
14725	734	31	advanced	advance	VBN
14725	734	32	,	,	,
14725	734	33	I	-PRON-	PRP
14725	734	34	will	will	MD
14725	734	35	state	state	VB
14725	734	36	here	here	RB
14725	734	37	the	the	DT
14725	734	38	process	process	NN
14725	734	39	of	of	IN
14725	734	40	which	which	WDT
14725	734	41	I	-PRON-	PRP
14725	734	42	have	have	VBP
14725	734	43	made	make	VBN
14725	734	44	use	use	NN
14725	734	45	to	to	TO
14725	734	46	cut	cut	VB
14725	734	47	it	-PRON-	PRP
14725	734	48	,	,	,
14725	734	49	and	and	CC
14725	734	50	to	to	TO
14725	734	51	polish	polish	VB
14725	734	52	it	-PRON-	PRP
14725	734	53	.	.	.
14725	735	1	Cutting	cutting	NN
14725	735	2	is	be	VBZ
14725	735	3	easy	easy	JJ
14725	735	4	by	by	IN
14725	735	5	the	the	DT
14725	735	6	slicing	slice	VBG
14725	735	7	wheels	wheel	NNS
14725	735	8	of	of	IN
14725	735	9	lapidaries	lapidary	NNS
14725	735	10	,	,	,
14725	735	11	or	or	CC
14725	735	12	in	in	IN
14725	735	13	the	the	DT
14725	735	14	way	way	NN
14725	735	15	in	in	IN
14725	735	16	which	which	WDT
14725	735	17	marble	marble	NN
14725	735	18	is	be	VBZ
14725	735	19	sawn	saw	VBN
14725	735	20	:	:	:
14725	735	21	but	but	CC
14725	735	22	polishing	polishing	NN
14725	735	23	is	be	VBZ
14725	735	24	very	very	RB
14725	735	25	difficult	difficult	JJ
14725	735	26	,	,	,
14725	735	27	and	and	CC
14725	735	28	by	by	IN
14725	735	29	employing	employ	VBG
14725	735	30	the	the	DT
14725	735	31	ordinary	ordinary	JJ
14725	735	32	means	mean	NNS
14725	735	33	one	one	CD
14725	735	34	more	more	RBR
14725	735	35	often	often	RB
14725	735	36	depolishes	depolishe	VBZ
14725	735	37	the	the	DT
14725	735	38	surfaces	surface	NNS
14725	735	39	than	than	IN
14725	735	40	makes	make	VBZ
14725	735	41	them	-PRON-	PRP
14725	735	42	lucent	lucent	VB
14725	735	43	.	.	.
14725	736	1	After	after	IN
14725	736	2	many	many	JJ
14725	736	3	trials	trial	NNS
14725	736	4	,	,	,
14725	736	5	I	-PRON-	PRP
14725	736	6	have	have	VBP
14725	736	7	at	at	IN
14725	736	8	last	last	JJ
14725	736	9	found	find	VBD
14725	736	10	that	that	IN
14725	736	11	for	for	IN
14725	736	12	this	this	DT
14725	736	13	service	service	NN
14725	736	14	no	no	DT
14725	736	15	plate	plate	NN
14725	736	16	of	of	IN
14725	736	17	metal	metal	NN
14725	736	18	must	must	MD
14725	736	19	be	be	VB
14725	736	20	used	use	VBN
14725	736	21	,	,	,
14725	736	22	but	but	CC
14725	736	23	a	a	DT
14725	736	24	piece	piece	NN
14725	736	25	of	of	IN
14725	736	26	mirror	mirror	NNP
14725	736	27	glass	glass	NNP
14725	736	28	made	make	VBD
14725	736	29	matt	matt	NNP
14725	736	30	and	and	CC
14725	736	31	depolished	depolishe	VBN
14725	736	32	.	.	.
14725	737	1	Upon	upon	IN
14725	737	2	this	this	DT
14725	737	3	,	,	,
14725	737	4	with	with	IN
14725	737	5	fine	fine	JJ
14725	737	6	sand	sand	NN
14725	737	7	and	and	CC
14725	737	8	water	water	NN
14725	737	9	,	,	,
14725	737	10	one	one	CD
14725	737	11	smoothes	smooth	VBZ
14725	737	12	the	the	DT
14725	737	13	crystal	crystal	NN
14725	737	14	little	little	JJ
14725	737	15	by	by	IN
14725	737	16	little	little	JJ
14725	737	17	,	,	,
14725	737	18	in	in	IN
14725	737	19	the	the	DT
14725	737	20	same	same	JJ
14725	737	21	way	way	NN
14725	737	22	as	as	IN
14725	737	23	spectacle	spectacle	NN
14725	737	24	glasses	glass	NNS
14725	737	25	,	,	,
14725	737	26	and	and	CC
14725	737	27	polishes	polish	VBZ
14725	737	28	it	-PRON-	PRP
14725	737	29	simply	simply	RB
14725	737	30	by	by	IN
14725	737	31	continuing	continue	VBG
14725	737	32	the	the	DT
14725	737	33	work	work	NN
14725	737	34	,	,	,
14725	737	35	but	but	CC
14725	737	36	ever	ever	RB
14725	737	37	reducing	reduce	VBG
14725	737	38	the	the	DT
14725	737	39	material	material	NN
14725	737	40	.	.	.
14725	738	1	I	-PRON-	PRP
14725	738	2	have	have	VBP
14725	738	3	not	not	RB
14725	738	4	,	,	,
14725	738	5	however	however	RB
14725	738	6	,	,	,
14725	738	7	been	be	VBN
14725	738	8	able	able	JJ
14725	738	9	to	to	TO
14725	738	10	give	give	VB
14725	738	11	it	-PRON-	PRP
14725	738	12	perfect	perfect	JJ
14725	738	13	clarity	clarity	NN
14725	738	14	and	and	CC
14725	738	15	transparency	transparency	NN
14725	738	16	;	;	:
14725	738	17	but	but	CC
14725	738	18	the	the	DT
14725	738	19	evenness	evenness	NN
14725	738	20	which	which	WDT
14725	738	21	the	the	DT
14725	738	22	surfaces	surface	NNS
14725	738	23	acquire	acquire	VBP
14725	738	24	enables	enable	VBZ
14725	738	25	one	one	PRP
14725	738	26	to	to	TO
14725	738	27	observe	observe	VB
14725	738	28	in	in	IN
14725	738	29	them	-PRON-	PRP
14725	738	30	the	the	DT
14725	738	31	effects	effect	NNS
14725	738	32	of	of	IN
14725	738	33	refraction	refraction	NN
14725	738	34	better	well	RBR
14725	738	35	than	than	IN
14725	738	36	in	in	IN
14725	738	37	those	those	DT
14725	738	38	made	make	VBN
14725	738	39	by	by	IN
14725	738	40	cleaving	cleave	VBG
14725	738	41	the	the	DT
14725	738	42	stone	stone	NN
14725	738	43	,	,	,
14725	738	44	which	which	WDT
14725	738	45	always	always	RB
14725	738	46	have	have	VBP
14725	738	47	some	some	DT
14725	738	48	inequality	inequality	NN
14725	738	49	.	.	.
14725	739	1	Even	even	RB
14725	739	2	when	when	WRB
14725	739	3	the	the	DT
14725	739	4	surface	surface	NN
14725	739	5	is	be	VBZ
14725	739	6	only	only	RB
14725	739	7	moderately	moderately	RB
14725	739	8	smoothed	smooth	VBN
14725	739	9	,	,	,
14725	739	10	if	if	IN
14725	739	11	one	one	CD
14725	739	12	rubs	rub	VBZ
14725	739	13	it	-PRON-	PRP
14725	739	14	over	over	RP
14725	739	15	with	with	IN
14725	739	16	a	a	DT
14725	739	17	little	little	JJ
14725	739	18	oil	oil	NN
14725	739	19	or	or	CC
14725	739	20	white	white	NN
14725	739	21	of	of	IN
14725	739	22	egg	egg	NN
14725	739	23	,	,	,
14725	739	24	it	-PRON-	PRP
14725	739	25	becomes	become	VBZ
14725	739	26	quite	quite	RB
14725	739	27	transparent	transparent	JJ
14725	739	28	,	,	,
14725	739	29	so	so	IN
14725	739	30	that	that	IN
14725	739	31	the	the	DT
14725	739	32	refraction	refraction	NN
14725	739	33	is	be	VBZ
14725	739	34	discerned	discern	VBN
14725	739	35	in	in	IN
14725	739	36	it	-PRON-	PRP
14725	739	37	quite	quite	RB
14725	739	38	distinctly	distinctly	RB
14725	739	39	.	.	.
14725	740	1	And	and	CC
14725	740	2	this	this	DT
14725	740	3	aid	aid	NN
14725	740	4	is	be	VBZ
14725	740	5	specially	specially	RB
14725	740	6	necessary	necessary	JJ
14725	740	7	when	when	WRB
14725	740	8	it	-PRON-	PRP
14725	740	9	is	be	VBZ
14725	740	10	wished	wish	VBN
14725	740	11	to	to	TO
14725	740	12	polish	polish	VB
14725	740	13	the	the	DT
14725	740	14	natural	natural	JJ
14725	740	15	surfaces	surface	NNS
14725	740	16	to	to	TO
14725	740	17	remove	remove	VB
14725	740	18	the	the	DT
14725	740	19	inequalities	inequality	NNS
14725	740	20	;	;	:
14725	740	21	because	because	IN
14725	740	22	one	one	PRP
14725	740	23	can	can	MD
14725	740	24	not	not	RB
14725	740	25	render	render	VB
14725	740	26	them	-PRON-	PRP
14725	740	27	lucent	lucent	VB
14725	740	28	equally	equally	RB
14725	740	29	with	with	IN
14725	740	30	the	the	DT
14725	740	31	surfaces	surface	NNS
14725	740	32	of	of	IN
14725	740	33	other	other	JJ
14725	740	34	sections	section	NNS
14725	740	35	,	,	,
14725	740	36	which	which	WDT
14725	740	37	take	take	VBP
14725	740	38	a	a	DT
14725	740	39	polish	polish	NN
14725	740	40	so	so	RB
14725	740	41	much	much	RB
14725	740	42	the	the	DT
14725	740	43	better	well	JJR
14725	740	44	the	the	DT
14725	740	45	less	less	RBR
14725	740	46	nearly	nearly	RB
14725	740	47	they	-PRON-	PRP
14725	740	48	approximate	approximate	VBP
14725	740	49	to	to	IN
14725	740	50	these	these	DT
14725	740	51	natural	natural	JJ
14725	740	52	planes	plane	NNS
14725	740	53	.	.	.
14725	741	1	Before	before	IN
14725	741	2	finishing	finish	VBG
14725	741	3	the	the	DT
14725	741	4	treatise	treatise	NN
14725	741	5	on	on	IN
14725	741	6	this	this	DT
14725	741	7	Crystal	Crystal	NNP
14725	741	8	,	,	,
14725	741	9	I	-PRON-	PRP
14725	741	10	will	will	MD
14725	741	11	add	add	VB
14725	741	12	one	one	CD
14725	741	13	more	more	JJR
14725	741	14	marvellous	marvellous	JJ
14725	741	15	phenomenon	phenomenon	NN
14725	741	16	which	which	WDT
14725	741	17	I	-PRON-	PRP
14725	741	18	discovered	discover	VBD
14725	741	19	after	after	IN
14725	741	20	having	have	VBG
14725	741	21	written	write	VBN
14725	741	22	all	all	PDT
14725	741	23	the	the	DT
14725	741	24	foregoing	foregoing	NN
14725	741	25	.	.	.
14725	742	1	For	for	IN
14725	742	2	though	though	IN
14725	742	3	I	-PRON-	PRP
14725	742	4	have	have	VBP
14725	742	5	not	not	RB
14725	742	6	been	be	VBN
14725	742	7	able	able	JJ
14725	742	8	till	till	IN
14725	742	9	now	now	RB
14725	742	10	to	to	TO
14725	742	11	find	find	VB
14725	742	12	its	-PRON-	PRP$
14725	742	13	cause	cause	NN
14725	742	14	,	,	,
14725	742	15	I	-PRON-	PRP
14725	742	16	do	do	VBP
14725	742	17	not	not	RB
14725	742	18	for	for	IN
14725	742	19	that	that	DT
14725	742	20	reason	reason	NN
14725	742	21	wish	wish	VBP
14725	742	22	to	to	TO
14725	742	23	desist	desist	VB
14725	742	24	from	from	IN
14725	742	25	describing	describe	VBG
14725	742	26	it	-PRON-	PRP
14725	742	27	,	,	,
14725	742	28	in	in	IN
14725	742	29	order	order	NN
14725	742	30	to	to	TO
14725	742	31	give	give	VB
14725	742	32	opportunity	opportunity	NN
14725	742	33	to	to	IN
14725	742	34	others	other	NNS
14725	742	35	to	to	TO
14725	742	36	investigate	investigate	VB
14725	742	37	it	-PRON-	PRP
14725	742	38	.	.	.
14725	743	1	It	-PRON-	PRP
14725	743	2	seems	seem	VBZ
14725	743	3	that	that	IN
14725	743	4	it	-PRON-	PRP
14725	743	5	will	will	MD
14725	743	6	be	be	VB
14725	743	7	necessary	necessary	JJ
14725	743	8	to	to	TO
14725	743	9	make	make	VB
14725	743	10	still	still	RB
14725	743	11	further	further	JJ
14725	743	12	suppositions	supposition	NNS
14725	743	13	besides	besides	IN
14725	743	14	those	those	DT
14725	743	15	which	which	WDT
14725	743	16	I	-PRON-	PRP
14725	743	17	have	have	VBP
14725	743	18	made	make	VBN
14725	743	19	;	;	:
14725	743	20	but	but	CC
14725	743	21	these	these	DT
14725	743	22	will	will	MD
14725	743	23	not	not	RB
14725	743	24	for	for	IN
14725	743	25	all	all	DT
14725	743	26	that	that	DT
14725	743	27	cease	cease	VBP
14725	743	28	to	to	TO
14725	743	29	keep	keep	VB
14725	743	30	their	-PRON-	PRP$
14725	743	31	probability	probability	NN
14725	743	32	after	after	IN
14725	743	33	having	have	VBG
14725	743	34	been	be	VBN
14725	743	35	confirmed	confirm	VBN
14725	743	36	by	by	IN
14725	743	37	so	so	RB
14725	743	38	many	many	JJ
14725	743	39	tests	test	NNS
14725	743	40	.	.	.
14725	744	1	[	[	-LRB-
14725	744	2	Illustration	illustration	NN
14725	744	3	]	]	-RRB-
14725	744	4	The	the	DT
14725	744	5	phenomenon	phenomenon	NN
14725	744	6	is	be	VBZ
14725	744	7	,	,	,
14725	744	8	that	that	IN
14725	744	9	by	by	IN
14725	744	10	taking	take	VBG
14725	744	11	two	two	CD
14725	744	12	pieces	piece	NNS
14725	744	13	of	of	IN
14725	744	14	this	this	DT
14725	744	15	crystal	crystal	NN
14725	744	16	and	and	CC
14725	744	17	applying	apply	VBG
14725	744	18	them	-PRON-	PRP
14725	744	19	one	one	CD
14725	744	20	over	over	IN
14725	744	21	the	the	DT
14725	744	22	other	other	JJ
14725	744	23	,	,	,
14725	744	24	or	or	CC
14725	744	25	rather	rather	RB
14725	744	26	holding	hold	VBG
14725	744	27	them	-PRON-	PRP
14725	744	28	with	with	IN
14725	744	29	a	a	DT
14725	744	30	space	space	NN
14725	744	31	between	between	IN
14725	744	32	the	the	DT
14725	744	33	two	two	CD
14725	744	34	,	,	,
14725	744	35	if	if	IN
14725	744	36	all	all	PDT
14725	744	37	the	the	DT
14725	744	38	sides	side	NNS
14725	744	39	of	of	IN
14725	744	40	one	one	CD
14725	744	41	are	be	VBP
14725	744	42	parallel	parallel	JJ
14725	744	43	to	to	IN
14725	744	44	those	those	DT
14725	744	45	of	of	IN
14725	744	46	the	the	DT
14725	744	47	other	other	JJ
14725	744	48	,	,	,
14725	744	49	then	then	RB
14725	744	50	a	a	DT
14725	744	51	ray	ray	NN
14725	744	52	of	of	IN
14725	744	53	light	light	NN
14725	744	54	,	,	,
14725	744	55	such	such	JJ
14725	744	56	as	as	IN
14725	744	57	AB	AB	NNP
14725	744	58	,	,	,
14725	744	59	is	be	VBZ
14725	744	60	divided	divide	VBN
14725	744	61	into	into	IN
14725	744	62	two	two	CD
14725	744	63	in	in	IN
14725	744	64	the	the	DT
14725	744	65	first	first	JJ
14725	744	66	piece	piece	NN
14725	744	67	,	,	,
14725	744	68	namely	namely	RB
14725	744	69	into	into	IN
14725	744	70	BD	BD	NNP
14725	744	71	and	and	CC
14725	744	72	BC	BC	NNP
14725	744	73	,	,	,
14725	744	74	following	follow	VBG
14725	744	75	the	the	DT
14725	744	76	two	two	CD
14725	744	77	refractions	refraction	NNS
14725	744	78	,	,	,
14725	744	79	regular	regular	JJ
14725	744	80	and	and	CC
14725	744	81	irregular	irregular	JJ
14725	744	82	.	.	.
14725	745	1	On	on	IN
14725	745	2	penetrating	penetrating	NN
14725	745	3	thence	thence	NN
14725	745	4	into	into	IN
14725	745	5	the	the	DT
14725	745	6	other	other	JJ
14725	745	7	piece	piece	NN
14725	745	8	each	each	DT
14725	745	9	ray	ray	NN
14725	745	10	will	will	MD
14725	745	11	pass	pass	VB
14725	745	12	there	there	RB
14725	745	13	without	without	IN
14725	745	14	further	further	RB
14725	745	15	dividing	divide	VBG
14725	745	16	itself	-PRON-	PRP
14725	745	17	in	in	IN
14725	745	18	two	two	CD
14725	745	19	;	;	:
14725	745	20	but	but	CC
14725	745	21	that	that	DT
14725	745	22	one	one	NN
14725	745	23	which	which	WDT
14725	745	24	underwent	undergo	VBD
14725	745	25	the	the	DT
14725	745	26	regular	regular	JJ
14725	745	27	refraction	refraction	NN
14725	745	28	,	,	,
14725	745	29	as	as	IN
14725	745	30	here	here	RB
14725	745	31	DG	DG	NNP
14725	745	32	,	,	,
14725	745	33	will	will	MD
14725	745	34	undergo	undergo	VB
14725	745	35	again	again	RB
14725	745	36	only	only	RB
14725	745	37	a	a	DT
14725	745	38	regular	regular	JJ
14725	745	39	refraction	refraction	NN
14725	745	40	at	at	IN
14725	745	41	GH	GH	NNP
14725	745	42	;	;	:
14725	745	43	and	and	CC
14725	745	44	the	the	DT
14725	745	45	other	other	JJ
14725	745	46	,	,	,
14725	745	47	CE	CE	NNP
14725	745	48	,	,	,
14725	745	49	an	an	DT
14725	745	50	irregular	irregular	JJ
14725	745	51	refraction	refraction	NN
14725	745	52	at	at	IN
14725	745	53	EF	EF	NNP
14725	745	54	.	.	.
14725	746	1	And	and	CC
14725	746	2	the	the	DT
14725	746	3	same	same	JJ
14725	746	4	thing	thing	NN
14725	746	5	occurs	occur	VBZ
14725	746	6	not	not	RB
14725	746	7	only	only	RB
14725	746	8	in	in	IN
14725	746	9	this	this	DT
14725	746	10	disposition	disposition	NN
14725	746	11	,	,	,
14725	746	12	but	but	CC
14725	746	13	also	also	RB
14725	746	14	in	in	IN
14725	746	15	all	all	PDT
14725	746	16	those	those	DT
14725	746	17	cases	case	NNS
14725	746	18	in	in	IN
14725	746	19	which	which	WDT
14725	746	20	the	the	DT
14725	746	21	principal	principal	JJ
14725	746	22	section	section	NN
14725	746	23	of	of	IN
14725	746	24	each	each	DT
14725	746	25	of	of	IN
14725	746	26	the	the	DT
14725	746	27	pieces	piece	NNS
14725	746	28	is	be	VBZ
14725	746	29	situated	situate	VBN
14725	746	30	in	in	IN
14725	746	31	one	one	CD
14725	746	32	and	and	CC
14725	746	33	the	the	DT
14725	746	34	same	same	JJ
14725	746	35	plane	plane	NN
14725	746	36	,	,	,
14725	746	37	without	without	IN
14725	746	38	it	-PRON-	PRP
14725	746	39	being	be	VBG
14725	746	40	needful	needful	JJ
14725	746	41	for	for	IN
14725	746	42	the	the	DT
14725	746	43	two	two	CD
14725	746	44	neighbouring	neighbouring	NN
14725	746	45	surfaces	surface	NNS
14725	746	46	to	to	TO
14725	746	47	be	be	VB
14725	746	48	parallel	parallel	JJ
14725	746	49	.	.	.
14725	747	1	Now	now	RB
14725	747	2	it	-PRON-	PRP
14725	747	3	is	be	VBZ
14725	747	4	marvellous	marvellous	JJ
14725	747	5	why	why	WRB
14725	747	6	the	the	DT
14725	747	7	rays	ray	NNS
14725	747	8	CE	CE	NNP
14725	747	9	and	and	CC
14725	747	10	DG	DG	NNP
14725	747	11	,	,	,
14725	747	12	incident	incident	NN
14725	747	13	from	from	IN
14725	747	14	the	the	DT
14725	747	15	air	air	NN
14725	747	16	on	on	IN
14725	747	17	the	the	DT
14725	747	18	lower	low	JJR
14725	747	19	crystal	crystal	NN
14725	747	20	,	,	,
14725	747	21	do	do	VB
14725	747	22	not	not	RB
14725	747	23	divide	divide	VB
14725	747	24	themselves	-PRON-	PRP
14725	747	25	the	the	DT
14725	747	26	same	same	JJ
14725	747	27	as	as	IN
14725	747	28	the	the	DT
14725	747	29	first	first	JJ
14725	747	30	ray	ray	NN
14725	747	31	AB	AB	NNP
14725	747	32	.	.	.
14725	748	1	One	one	PRP
14725	748	2	would	would	MD
14725	748	3	say	say	VB
14725	748	4	that	that	IN
14725	748	5	it	-PRON-	PRP
14725	748	6	must	must	MD
14725	748	7	be	be	VB
14725	748	8	that	that	IN
14725	748	9	the	the	DT
14725	748	10	ray	ray	NN
14725	748	11	DG	DG	NNP
14725	748	12	in	in	IN
14725	748	13	passing	pass	VBG
14725	748	14	through	through	IN
14725	748	15	the	the	DT
14725	748	16	upper	upper	JJ
14725	748	17	piece	piece	NN
14725	748	18	has	have	VBZ
14725	748	19	lost	lose	VBN
14725	748	20	something	something	NN
14725	748	21	which	which	WDT
14725	748	22	is	be	VBZ
14725	748	23	necessary	necessary	JJ
14725	748	24	to	to	TO
14725	748	25	move	move	VB
14725	748	26	the	the	DT
14725	748	27	matter	matter	NN
14725	748	28	which	which	WDT
14725	748	29	serves	serve	VBZ
14725	748	30	for	for	IN
14725	748	31	the	the	DT
14725	748	32	irregular	irregular	JJ
14725	748	33	refraction	refraction	NN
14725	748	34	;	;	:
14725	748	35	and	and	CC
14725	748	36	that	that	IN
14725	748	37	likewise	likewise	RB
14725	748	38	CE	CE	NNP
14725	748	39	has	have	VBZ
14725	748	40	lost	lose	VBN
14725	748	41	that	that	IN
14725	748	42	which	which	WDT
14725	748	43	was	be	VBD
14725	748	44	necessary	necessary	JJ
14725	748	45	to	to	TO
14725	748	46	move	move	VB
14725	748	47	the	the	DT
14725	748	48	matter	matter	NN
14725	748	49	which	which	WDT
14725	748	50	serves	serve	VBZ
14725	748	51	for	for	IN
14725	748	52	regular	regular	JJ
14725	748	53	refraction	refraction	NN
14725	748	54	:	:	:
14725	748	55	but	but	CC
14725	748	56	there	there	EX
14725	748	57	is	be	VBZ
14725	748	58	yet	yet	RB
14725	748	59	another	another	DT
14725	748	60	thing	thing	NN
14725	748	61	which	which	WDT
14725	748	62	upsets	upset	VBZ
14725	748	63	this	this	DT
14725	748	64	reasoning	reasoning	NN
14725	748	65	.	.	.
14725	749	1	It	-PRON-	PRP
14725	749	2	is	be	VBZ
14725	749	3	that	that	IN
14725	749	4	when	when	WRB
14725	749	5	one	one	PRP
14725	749	6	disposes	dispose	VBZ
14725	749	7	the	the	DT
14725	749	8	two	two	CD
14725	749	9	crystals	crystal	NNS
14725	749	10	in	in	IN
14725	749	11	such	such	PDT
14725	749	12	a	a	DT
14725	749	13	way	way	NN
14725	749	14	that	that	WDT
14725	749	15	the	the	DT
14725	749	16	planes	plane	NNS
14725	749	17	which	which	WDT
14725	749	18	constitute	constitute	VBP
14725	749	19	the	the	DT
14725	749	20	principal	principal	JJ
14725	749	21	sections	section	NNS
14725	749	22	intersect	intersect	VBP
14725	749	23	one	one	CD
14725	749	24	another	another	DT
14725	749	25	at	at	IN
14725	749	26	right	right	JJ
14725	749	27	angles	angle	NNS
14725	749	28	,	,	,
14725	749	29	whether	whether	IN
14725	749	30	the	the	DT
14725	749	31	neighbouring	neighbouring	NN
14725	749	32	surfaces	surface	NNS
14725	749	33	are	be	VBP
14725	749	34	parallel	parallel	JJ
14725	749	35	or	or	CC
14725	749	36	not	not	RB
14725	749	37	,	,	,
14725	749	38	then	then	RB
14725	749	39	the	the	DT
14725	749	40	ray	ray	NN
14725	749	41	which	which	WDT
14725	749	42	has	have	VBZ
14725	749	43	come	come	VBN
14725	749	44	by	by	IN
14725	749	45	the	the	DT
14725	749	46	regular	regular	JJ
14725	749	47	refraction	refraction	NN
14725	749	48	,	,	,
14725	749	49	as	as	IN
14725	749	50	DG	DG	NNP
14725	749	51	,	,	,
14725	749	52	undergoes	undergo	VBZ
14725	749	53	only	only	RB
14725	749	54	an	an	DT
14725	749	55	irregular	irregular	JJ
14725	749	56	refraction	refraction	NN
14725	749	57	in	in	IN
14725	749	58	the	the	DT
14725	749	59	lower	low	JJR
14725	749	60	piece	piece	NN
14725	749	61	;	;	:
14725	749	62	and	and	CC
14725	749	63	on	on	IN
14725	749	64	the	the	DT
14725	749	65	contrary	contrary	NN
14725	749	66	the	the	DT
14725	749	67	ray	ray	NN
14725	749	68	which	which	WDT
14725	749	69	has	have	VBZ
14725	749	70	come	come	VBN
14725	749	71	by	by	IN
14725	749	72	the	the	DT
14725	749	73	irregular	irregular	JJ
14725	749	74	refraction	refraction	NN
14725	749	75	,	,	,
14725	749	76	as	as	IN
14725	749	77	CE	CE	NNP
14725	749	78	,	,	,
14725	749	79	undergoes	undergo	VBZ
14725	749	80	only	only	RB
14725	749	81	a	a	DT
14725	749	82	regular	regular	JJ
14725	749	83	refraction	refraction	NN
14725	749	84	.	.	.
14725	750	1	But	but	CC
14725	750	2	in	in	IN
14725	750	3	all	all	PDT
14725	750	4	the	the	DT
14725	750	5	infinite	infinite	JJ
14725	750	6	other	other	JJ
14725	750	7	positions	position	NNS
14725	750	8	,	,	,
14725	750	9	besides	besides	IN
14725	750	10	those	those	DT
14725	750	11	which	which	WDT
14725	750	12	I	-PRON-	PRP
14725	750	13	have	have	VBP
14725	750	14	just	just	RB
14725	750	15	stated	state	VBN
14725	750	16	,	,	,
14725	750	17	the	the	DT
14725	750	18	rays	ray	NNS
14725	750	19	DG	DG	NNP
14725	750	20	,	,	,
14725	750	21	CE	CE	NNP
14725	750	22	,	,	,
14725	750	23	divide	divide	VBP
14725	750	24	themselves	-PRON-	PRP
14725	750	25	anew	anew	RB
14725	750	26	each	each	DT
14725	750	27	one	one	NN
14725	750	28	into	into	IN
14725	750	29	two	two	CD
14725	750	30	,	,	,
14725	750	31	by	by	IN
14725	750	32	refraction	refraction	NN
14725	750	33	in	in	IN
14725	750	34	the	the	DT
14725	750	35	lower	low	JJR
14725	750	36	crystal	crystal	NN
14725	750	37	so	so	IN
14725	750	38	that	that	IN
14725	750	39	from	from	IN
14725	750	40	the	the	DT
14725	750	41	single	single	JJ
14725	750	42	ray	ray	NN
14725	750	43	AB	AB	NNP
14725	750	44	there	there	EX
14725	750	45	are	be	VBP
14725	750	46	four	four	CD
14725	750	47	,	,	,
14725	750	48	sometimes	sometimes	RB
14725	750	49	of	of	IN
14725	750	50	equal	equal	JJ
14725	750	51	brightness	brightness	NN
14725	750	52	,	,	,
14725	750	53	sometimes	sometimes	RB
14725	750	54	some	some	DT
14725	750	55	much	much	RB
14725	750	56	less	less	RBR
14725	750	57	bright	bright	JJ
14725	750	58	than	than	IN
14725	750	59	others	other	NNS
14725	750	60	,	,	,
14725	750	61	according	accord	VBG
14725	750	62	to	to	IN
14725	750	63	the	the	DT
14725	750	64	varying	varying	NN
14725	750	65	agreement	agreement	NN
14725	750	66	in	in	IN
14725	750	67	the	the	DT
14725	750	68	positions	position	NNS
14725	750	69	of	of	IN
14725	750	70	the	the	DT
14725	750	71	crystals	crystal	NNS
14725	750	72	:	:	:
14725	750	73	but	but	CC
14725	750	74	they	-PRON-	PRP
14725	750	75	do	do	VBP
14725	750	76	not	not	RB
14725	750	77	appear	appear	VB
14725	750	78	to	to	TO
14725	750	79	have	have	VB
14725	750	80	all	all	DT
14725	750	81	together	together	RB
14725	750	82	more	more	JJR
14725	750	83	light	light	NN
14725	750	84	than	than	IN
14725	750	85	the	the	DT
14725	750	86	single	single	JJ
14725	750	87	ray	ray	NN
14725	750	88	AB	AB	NNP
14725	750	89	.	.	.
14725	751	1	When	when	WRB
14725	751	2	one	one	PRP
14725	751	3	considers	consider	VBZ
14725	751	4	here	here	RB
14725	751	5	how	how	WRB
14725	751	6	,	,	,
14725	751	7	while	while	IN
14725	751	8	the	the	DT
14725	751	9	rays	ray	NNS
14725	751	10	CE	CE	NNP
14725	751	11	,	,	,
14725	751	12	DG	DG	NNP
14725	751	13	,	,	,
14725	751	14	remain	remain	VBP
14725	751	15	the	the	DT
14725	751	16	same	same	JJ
14725	751	17	,	,	,
14725	751	18	it	-PRON-	PRP
14725	751	19	depends	depend	VBZ
14725	751	20	on	on	IN
14725	751	21	the	the	DT
14725	751	22	position	position	NN
14725	751	23	that	that	WDT
14725	751	24	one	one	PRP
14725	751	25	gives	give	VBZ
14725	751	26	to	to	IN
14725	751	27	the	the	DT
14725	751	28	lower	low	JJR
14725	751	29	piece	piece	NN
14725	751	30	,	,	,
14725	751	31	whether	whether	IN
14725	751	32	it	-PRON-	PRP
14725	751	33	divides	divide	VBZ
14725	751	34	them	-PRON-	PRP
14725	751	35	both	both	DT
14725	751	36	in	in	IN
14725	751	37	two	two	CD
14725	751	38	,	,	,
14725	751	39	or	or	CC
14725	751	40	whether	whether	IN
14725	751	41	it	-PRON-	PRP
14725	751	42	does	do	VBZ
14725	751	43	not	not	RB
14725	751	44	divide	divide	VB
14725	751	45	them	-PRON-	PRP
14725	751	46	,	,	,
14725	751	47	and	and	CC
14725	751	48	yet	yet	RB
14725	751	49	how	how	WRB
14725	751	50	the	the	DT
14725	751	51	ray	ray	NN
14725	751	52	AB	AB	NNP
14725	751	53	above	above	RB
14725	751	54	is	be	VBZ
14725	751	55	always	always	RB
14725	751	56	divided	divided	JJ
14725	751	57	,	,	,
14725	751	58	it	-PRON-	PRP
14725	751	59	seems	seem	VBZ
14725	751	60	that	that	IN
14725	751	61	one	one	NN
14725	751	62	is	be	VBZ
14725	751	63	obliged	oblige	VBN
14725	751	64	to	to	TO
14725	751	65	conclude	conclude	VB
14725	751	66	that	that	IN
14725	751	67	the	the	DT
14725	751	68	waves	wave	NNS
14725	751	69	of	of	IN
14725	751	70	light	light	NN
14725	751	71	,	,	,
14725	751	72	after	after	IN
14725	751	73	having	have	VBG
14725	751	74	passed	pass	VBN
14725	751	75	through	through	IN
14725	751	76	the	the	DT
14725	751	77	first	first	JJ
14725	751	78	crystal	crystal	NN
14725	751	79	,	,	,
14725	751	80	acquire	acquire	VB
14725	751	81	a	a	DT
14725	751	82	certain	certain	JJ
14725	751	83	form	form	NN
14725	751	84	or	or	CC
14725	751	85	disposition	disposition	NN
14725	751	86	in	in	IN
14725	751	87	virtue	virtue	NN
14725	751	88	of	of	IN
14725	751	89	which	which	WDT
14725	751	90	,	,	,
14725	751	91	when	when	WRB
14725	751	92	meeting	meet	VBG
14725	751	93	the	the	DT
14725	751	94	texture	texture	NN
14725	751	95	of	of	IN
14725	751	96	the	the	DT
14725	751	97	second	second	JJ
14725	751	98	crystal	crystal	NN
14725	751	99	,	,	,
14725	751	100	in	in	IN
14725	751	101	certain	certain	JJ
14725	751	102	positions	position	NNS
14725	751	103	,	,	,
14725	751	104	they	-PRON-	PRP
14725	751	105	can	can	MD
14725	751	106	move	move	VB
14725	751	107	the	the	DT
14725	751	108	two	two	CD
14725	751	109	different	different	JJ
14725	751	110	kinds	kind	NNS
14725	751	111	of	of	IN
14725	751	112	matter	matter	NN
14725	751	113	which	which	WDT
14725	751	114	serve	serve	VBP
14725	751	115	for	for	IN
14725	751	116	the	the	DT
14725	751	117	two	two	CD
14725	751	118	species	specie	NNS
14725	751	119	of	of	IN
14725	751	120	refraction	refraction	NN
14725	751	121	;	;	:
14725	751	122	and	and	CC
14725	751	123	when	when	WRB
14725	751	124	meeting	meet	VBG
14725	751	125	the	the	DT
14725	751	126	second	second	JJ
14725	751	127	crystal	crystal	NN
14725	751	128	in	in	IN
14725	751	129	another	another	DT
14725	751	130	position	position	NN
14725	751	131	are	be	VBP
14725	751	132	able	able	JJ
14725	751	133	to	to	TO
14725	751	134	move	move	VB
14725	751	135	only	only	RB
14725	751	136	one	one	CD
14725	751	137	of	of	IN
14725	751	138	these	these	DT
14725	751	139	kinds	kind	NNS
14725	751	140	of	of	IN
14725	751	141	matter	matter	NN
14725	751	142	.	.	.
14725	752	1	But	but	CC
14725	752	2	to	to	TO
14725	752	3	tell	tell	VB
14725	752	4	how	how	WRB
14725	752	5	this	this	DT
14725	752	6	occurs	occur	VBZ
14725	752	7	,	,	,
14725	752	8	I	-PRON-	PRP
14725	752	9	have	have	VBP
14725	752	10	hitherto	hitherto	VBN
14725	752	11	found	find	VBN
14725	752	12	nothing	nothing	NN
14725	752	13	which	which	WDT
14725	752	14	satisfies	satisfy	VBZ
14725	752	15	me	-PRON-	PRP
14725	752	16	.	.	.
14725	753	1	Leaving	leave	VBG
14725	753	2	then	then	RB
14725	753	3	to	to	IN
14725	753	4	others	other	NNS
14725	753	5	this	this	DT
14725	753	6	research	research	NN
14725	753	7	,	,	,
14725	753	8	I	-PRON-	PRP
14725	753	9	pass	pass	VBP
14725	753	10	to	to	IN
14725	753	11	what	what	WP
14725	753	12	I	-PRON-	PRP
14725	753	13	have	have	VBP
14725	753	14	to	to	TO
14725	753	15	say	say	VB
14725	753	16	touching	touch	VBG
14725	753	17	the	the	DT
14725	753	18	cause	cause	NN
14725	753	19	of	of	IN
14725	753	20	the	the	DT
14725	753	21	extraordinary	extraordinary	JJ
14725	753	22	figure	figure	NN
14725	753	23	of	of	IN
14725	753	24	this	this	DT
14725	753	25	crystal	crystal	NN
14725	753	26	,	,	,
14725	753	27	and	and	CC
14725	753	28	why	why	WRB
14725	753	29	it	-PRON-	PRP
14725	753	30	cleaves	cleave	VBZ
14725	753	31	easily	easily	RB
14725	753	32	in	in	IN
14725	753	33	three	three	CD
14725	753	34	different	different	JJ
14725	753	35	senses	sense	NNS
14725	753	36	,	,	,
14725	753	37	parallel	parallel	JJ
14725	753	38	to	to	IN
14725	753	39	any	any	DT
14725	753	40	one	one	CD
14725	753	41	of	of	IN
14725	753	42	its	-PRON-	PRP$
14725	753	43	surfaces	surface	NNS
14725	753	44	.	.	.
14725	754	1	There	there	EX
14725	754	2	are	be	VBP
14725	754	3	many	many	JJ
14725	754	4	bodies	body	NNS
14725	754	5	,	,	,
14725	754	6	vegetable	vegetable	NN
14725	754	7	,	,	,
14725	754	8	mineral	mineral	NN
14725	754	9	,	,	,
14725	754	10	and	and	CC
14725	754	11	congealed	congeal	VBN
14725	754	12	salts	salt	NNS
14725	754	13	,	,	,
14725	754	14	which	which	WDT
14725	754	15	are	be	VBP
14725	754	16	formed	form	VBN
14725	754	17	with	with	IN
14725	754	18	certain	certain	JJ
14725	754	19	regular	regular	JJ
14725	754	20	angles	angle	NNS
14725	754	21	and	and	CC
14725	754	22	figures	figure	NNS
14725	754	23	.	.	.
14725	755	1	Thus	thus	RB
14725	755	2	among	among	IN
14725	755	3	flowers	flower	NNS
14725	755	4	there	there	EX
14725	755	5	are	be	VBP
14725	755	6	many	many	JJ
14725	755	7	which	which	WDT
14725	755	8	have	have	VBP
14725	755	9	their	-PRON-	PRP$
14725	755	10	leaves	leave	NNS
14725	755	11	disposed	dispose	VBN
14725	755	12	in	in	IN
14725	755	13	ordered	order	VBN
14725	755	14	polygons	polygon	NNS
14725	755	15	,	,	,
14725	755	16	to	to	IN
14725	755	17	the	the	DT
14725	755	18	number	number	NN
14725	755	19	of	of	IN
14725	755	20	3	3	CD
14725	755	21	,	,	,
14725	755	22	4	4	CD
14725	755	23	,	,	,
14725	755	24	5	5	CD
14725	755	25	,	,	,
14725	755	26	or	or	CC
14725	755	27	6	6	CD
14725	755	28	sides	side	NNS
14725	755	29	,	,	,
14725	755	30	but	but	CC
14725	755	31	not	not	RB
14725	755	32	more	more	JJR
14725	755	33	.	.	.
14725	756	1	This	this	DT
14725	756	2	well	well	RB
14725	756	3	deserves	deserve	VBZ
14725	756	4	to	to	TO
14725	756	5	be	be	VB
14725	756	6	investigated	investigate	VBN
14725	756	7	,	,	,
14725	756	8	both	both	CC
14725	756	9	as	as	IN
14725	756	10	to	to	IN
14725	756	11	the	the	DT
14725	756	12	polygonal	polygonal	JJ
14725	756	13	figure	figure	NN
14725	756	14	,	,	,
14725	756	15	and	and	CC
14725	756	16	as	as	IN
14725	756	17	to	to	IN
14725	756	18	why	why	WRB
14725	756	19	it	-PRON-	PRP
14725	756	20	does	do	VBZ
14725	756	21	not	not	RB
14725	756	22	exceed	exceed	VB
14725	756	23	the	the	DT
14725	756	24	number	number	NN
14725	756	25	6	6	CD
14725	756	26	.	.	.
14725	757	1	Rock	Rock	NNP
14725	757	2	Crystal	Crystal	NNP
14725	757	3	grows	grow	VBZ
14725	757	4	ordinarily	ordinarily	RB
14725	757	5	in	in	IN
14725	757	6	hexagonal	hexagonal	JJ
14725	757	7	bars	bar	NNS
14725	757	8	,	,	,
14725	757	9	and	and	CC
14725	757	10	diamonds	diamond	NNS
14725	757	11	are	be	VBP
14725	757	12	found	find	VBN
14725	757	13	which	which	WDT
14725	757	14	occur	occur	VBP
14725	757	15	with	with	IN
14725	757	16	a	a	DT
14725	757	17	square	square	JJ
14725	757	18	point	point	NN
14725	757	19	and	and	CC
14725	757	20	polished	polished	JJ
14725	757	21	surfaces	surface	NNS
14725	757	22	.	.	.
14725	758	1	There	there	EX
14725	758	2	is	be	VBZ
14725	758	3	a	a	DT
14725	758	4	species	species	NN
14725	758	5	of	of	IN
14725	758	6	small	small	JJ
14725	758	7	flat	flat	JJ
14725	758	8	stones	stone	NNS
14725	758	9	,	,	,
14725	758	10	piled	pile	VBD
14725	758	11	up	up	RP
14725	758	12	directly	directly	RB
14725	758	13	upon	upon	IN
14725	758	14	one	one	CD
14725	758	15	another	another	DT
14725	758	16	,	,	,
14725	758	17	which	which	WDT
14725	758	18	are	be	VBP
14725	758	19	all	all	DT
14725	758	20	of	of	IN
14725	758	21	pentagonal	pentagonal	JJ
14725	758	22	figure	figure	NN
14725	758	23	with	with	IN
14725	758	24	rounded	rounded	JJ
14725	758	25	angles	angle	NNS
14725	758	26	,	,	,
14725	758	27	and	and	CC
14725	758	28	the	the	DT
14725	758	29	sides	side	NNS
14725	758	30	a	a	DT
14725	758	31	little	little	JJ
14725	758	32	folded	fold	VBN
14725	758	33	inwards	inward	NNS
14725	758	34	.	.	.
14725	759	1	The	the	DT
14725	759	2	grains	grain	NNS
14725	759	3	of	of	IN
14725	759	4	gray	gray	JJ
14725	759	5	salt	salt	NN
14725	759	6	which	which	WDT
14725	759	7	are	be	VBP
14725	759	8	formed	form	VBN
14725	759	9	from	from	IN
14725	759	10	sea	sea	NN
14725	759	11	water	water	NN
14725	759	12	affect	affect	VB
14725	759	13	the	the	DT
14725	759	14	figure	figure	NN
14725	759	15	,	,	,
14725	759	16	or	or	CC
14725	759	17	at	at	IN
14725	759	18	least	least	JJS
14725	759	19	the	the	DT
14725	759	20	angle	angle	NN
14725	759	21	,	,	,
14725	759	22	of	of	IN
14725	759	23	the	the	DT
14725	759	24	cube	cube	NN
14725	759	25	;	;	:
14725	759	26	and	and	CC
14725	759	27	in	in	IN
14725	759	28	the	the	DT
14725	759	29	congelations	congelation	NNS
14725	759	30	of	of	IN
14725	759	31	other	other	JJ
14725	759	32	salts	salt	NNS
14725	759	33	,	,	,
14725	759	34	and	and	CC
14725	759	35	in	in	IN
14725	759	36	that	that	DT
14725	759	37	of	of	IN
14725	759	38	sugar	sugar	NN
14725	759	39	,	,	,
14725	759	40	there	there	EX
14725	759	41	are	be	VBP
14725	759	42	found	find	VBN
14725	759	43	other	other	JJ
14725	759	44	solid	solid	JJ
14725	759	45	angles	angle	NNS
14725	759	46	with	with	IN
14725	759	47	perfectly	perfectly	RB
14725	759	48	flat	flat	JJ
14725	759	49	faces	face	NNS
14725	759	50	.	.	.
14725	760	1	Small	small	JJ
14725	760	2	snowflakes	snowflake	NNS
14725	760	3	almost	almost	RB
14725	760	4	always	always	RB
14725	760	5	fall	fall	VBP
14725	760	6	in	in	IN
14725	760	7	little	little	JJ
14725	760	8	stars	star	NNS
14725	760	9	with	with	IN
14725	760	10	6	6	CD
14725	760	11	points	point	NNS
14725	760	12	,	,	,
14725	760	13	and	and	CC
14725	760	14	sometimes	sometimes	RB
14725	760	15	in	in	IN
14725	760	16	hexagons	hexagon	NNS
14725	760	17	with	with	IN
14725	760	18	straight	straight	JJ
14725	760	19	sides	side	NNS
14725	760	20	.	.	.
14725	761	1	And	and	CC
14725	761	2	I	-PRON-	PRP
14725	761	3	have	have	VBP
14725	761	4	often	often	RB
14725	761	5	observed	observe	VBN
14725	761	6	,	,	,
14725	761	7	in	in	IN
14725	761	8	water	water	NN
14725	761	9	which	which	WDT
14725	761	10	is	be	VBZ
14725	761	11	beginning	begin	VBG
14725	761	12	to	to	TO
14725	761	13	freeze	freeze	VB
14725	761	14	,	,	,
14725	761	15	a	a	DT
14725	761	16	kind	kind	NN
14725	761	17	of	of	IN
14725	761	18	flat	flat	JJ
14725	761	19	and	and	CC
14725	761	20	thin	thin	JJ
14725	761	21	foliage	foliage	NN
14725	761	22	of	of	IN
14725	761	23	ice	ice	NN
14725	761	24	,	,	,
14725	761	25	the	the	DT
14725	761	26	middle	middle	JJ
14725	761	27	ray	ray	NN
14725	761	28	of	of	IN
14725	761	29	which	which	WDT
14725	761	30	throws	throw	VBZ
14725	761	31	out	out	RP
14725	761	32	branches	branch	NNS
14725	761	33	inclined	incline	VBN
14725	761	34	at	at	IN
14725	761	35	an	an	DT
14725	761	36	angle	angle	NN
14725	761	37	of	of	IN
14725	761	38	60	60	CD
14725	761	39	degrees	degree	NNS
14725	761	40	.	.	.
14725	762	1	All	all	PDT
14725	762	2	these	these	DT
14725	762	3	things	thing	NNS
14725	762	4	are	be	VBP
14725	762	5	worthy	worthy	JJ
14725	762	6	of	of	IN
14725	762	7	being	be	VBG
14725	762	8	carefully	carefully	RB
14725	762	9	investigated	investigate	VBN
14725	762	10	to	to	TO
14725	762	11	ascertain	ascertain	VB
14725	762	12	how	how	WRB
14725	762	13	and	and	CC
14725	762	14	by	by	IN
14725	762	15	what	what	WDT
14725	762	16	artifice	artifice	NN
14725	762	17	nature	nature	NN
14725	762	18	there	there	RB
14725	762	19	operates	operate	VBZ
14725	762	20	.	.	.
14725	763	1	But	but	CC
14725	763	2	it	-PRON-	PRP
14725	763	3	is	be	VBZ
14725	763	4	not	not	RB
14725	763	5	now	now	RB
14725	763	6	my	-PRON-	PRP$
14725	763	7	intention	intention	NN
14725	763	8	to	to	TO
14725	763	9	treat	treat	VB
14725	763	10	fully	fully	RB
14725	763	11	of	of	IN
14725	763	12	this	this	DT
14725	763	13	matter	matter	NN
14725	763	14	.	.	.
14725	764	1	It	-PRON-	PRP
14725	764	2	seems	seem	VBZ
14725	764	3	that	that	IN
14725	764	4	in	in	IN
14725	764	5	general	general	JJ
14725	764	6	the	the	DT
14725	764	7	regularity	regularity	NN
14725	764	8	which	which	WDT
14725	764	9	occurs	occur	VBZ
14725	764	10	in	in	IN
14725	764	11	these	these	DT
14725	764	12	productions	production	NNS
14725	764	13	comes	come	VBZ
14725	764	14	from	from	IN
14725	764	15	the	the	DT
14725	764	16	arrangement	arrangement	NN
14725	764	17	of	of	IN
14725	764	18	the	the	DT
14725	764	19	small	small	JJ
14725	764	20	invisible	invisible	JJ
14725	764	21	equal	equal	JJ
14725	764	22	particles	particle	NNS
14725	764	23	of	of	IN
14725	764	24	which	which	WDT
14725	764	25	they	-PRON-	PRP
14725	764	26	are	be	VBP
14725	764	27	composed	compose	VBN
14725	764	28	.	.	.
14725	765	1	And	and	CC
14725	765	2	,	,	,
14725	765	3	coming	come	VBG
14725	765	4	to	to	IN
14725	765	5	our	-PRON-	PRP$
14725	765	6	Iceland	Iceland	NNP
14725	765	7	Crystal	Crystal	NNP
14725	765	8	,	,	,
14725	765	9	I	-PRON-	PRP
14725	765	10	say	say	VBP
14725	765	11	that	that	IN
14725	765	12	if	if	IN
14725	765	13	there	there	EX
14725	765	14	were	be	VBD
14725	765	15	a	a	DT
14725	765	16	pyramid	pyramid	NN
14725	765	17	such	such	JJ
14725	765	18	as	as	IN
14725	765	19	ABCD	ABCD	NNP
14725	765	20	,	,	,
14725	765	21	composed	compose	VBN
14725	765	22	of	of	IN
14725	765	23	small	small	JJ
14725	765	24	rounded	rounded	JJ
14725	765	25	corpuscles	corpuscle	NNS
14725	765	26	,	,	,
14725	765	27	not	not	RB
14725	765	28	spherical	spherical	JJ
14725	765	29	but	but	CC
14725	765	30	flattened	flatten	VBD
14725	765	31	spheroids	spheroid	NNS
14725	765	32	,	,	,
14725	765	33	such	such	JJ
14725	765	34	as	as	IN
14725	765	35	would	would	MD
14725	765	36	be	be	VB
14725	765	37	made	make	VBN
14725	765	38	by	by	IN
14725	765	39	the	the	DT
14725	765	40	rotation	rotation	NN
14725	765	41	of	of	IN
14725	765	42	the	the	DT
14725	765	43	ellipse	ellipse	NN
14725	765	44	GH	GH	NNP
14725	765	45	around	around	IN
14725	765	46	its	-PRON-	PRP$
14725	765	47	lesser	less	JJR
14725	765	48	diameter	diameter	NN
14725	765	49	EF	EF	NNP
14725	765	50	(	(	-LRB-
14725	765	51	of	of	IN
14725	765	52	which	which	WDT
14725	765	53	the	the	DT
14725	765	54	ratio	ratio	NN
14725	765	55	to	to	IN
14725	765	56	the	the	DT
14725	765	57	greater	great	JJR
14725	765	58	diameter	diameter	NN
14725	765	59	is	be	VBZ
14725	765	60	very	very	RB
14725	765	61	nearly	nearly	RB
14725	765	62	that	that	DT
14725	765	63	of	of	IN
14725	765	64	1	1	CD
14725	765	65	to	to	IN
14725	765	66	the	the	DT
14725	765	67	square	square	JJ
14725	765	68	root	root	NN
14725	765	69	of	of	IN
14725	765	70	8)--I	8)--I	NNP
14725	765	71	say	say	VBP
14725	765	72	that	that	IN
14725	765	73	then	then	RB
14725	765	74	the	the	DT
14725	765	75	solid	solid	JJ
14725	765	76	angle	angle	NN
14725	765	77	of	of	IN
14725	765	78	the	the	DT
14725	765	79	point	point	NN
14725	765	80	D	D	NNP
14725	765	81	would	would	MD
14725	765	82	be	be	VB
14725	765	83	equal	equal	JJ
14725	765	84	to	to	IN
14725	765	85	the	the	DT
14725	765	86	obtuse	obtuse	NN
14725	765	87	and	and	CC
14725	765	88	equilateral	equilateral	JJ
14725	765	89	angle	angle	NN
14725	765	90	of	of	IN
14725	765	91	this	this	DT
14725	765	92	Crystal	Crystal	NNP
14725	765	93	.	.	.
14725	766	1	I	-PRON-	PRP
14725	766	2	say	say	VBP
14725	766	3	,	,	,
14725	766	4	further	further	RB
14725	766	5	,	,	,
14725	766	6	that	that	IN
14725	766	7	if	if	IN
14725	766	8	these	these	DT
14725	766	9	corpuscles	corpuscle	NNS
14725	766	10	were	be	VBD
14725	766	11	lightly	lightly	RB
14725	766	12	stuck	stick	VBN
14725	766	13	together	together	RB
14725	766	14	,	,	,
14725	766	15	on	on	IN
14725	766	16	breaking	break	VBG
14725	766	17	this	this	DT
14725	766	18	pyramid	pyramid	NN
14725	766	19	it	-PRON-	PRP
14725	766	20	would	would	MD
14725	766	21	break	break	VB
14725	766	22	along	along	RP
14725	766	23	faces	face	NNS
14725	766	24	parallel	parallel	JJ
14725	766	25	to	to	IN
14725	766	26	those	those	DT
14725	766	27	that	that	WDT
14725	766	28	make	make	VBP
14725	766	29	its	-PRON-	PRP$
14725	766	30	point	point	NN
14725	766	31	:	:	:
14725	766	32	and	and	CC
14725	766	33	by	by	IN
14725	766	34	this	this	DT
14725	766	35	means	mean	VBZ
14725	766	36	,	,	,
14725	766	37	as	as	IN
14725	766	38	it	-PRON-	PRP
14725	766	39	is	be	VBZ
14725	766	40	easy	easy	JJ
14725	766	41	to	to	TO
14725	766	42	see	see	VB
14725	766	43	,	,	,
14725	766	44	it	-PRON-	PRP
14725	766	45	would	would	MD
14725	766	46	produce	produce	VB
14725	766	47	prisms	prism	NNS
14725	766	48	similar	similar	JJ
14725	766	49	to	to	IN
14725	766	50	those	those	DT
14725	766	51	of	of	IN
14725	766	52	the	the	DT
14725	766	53	same	same	JJ
14725	766	54	crystal	crystal	NN
14725	766	55	as	as	IN
14725	766	56	this	this	DT
14725	766	57	other	other	JJ
14725	766	58	figure	figure	NN
14725	766	59	represents	represent	VBZ
14725	766	60	.	.	.
14725	767	1	The	the	DT
14725	767	2	reason	reason	NN
14725	767	3	is	be	VBZ
14725	767	4	that	that	IN
14725	767	5	when	when	WRB
14725	767	6	broken	break	VBN
14725	767	7	in	in	IN
14725	767	8	this	this	DT
14725	767	9	fashion	fashion	NN
14725	767	10	a	a	DT
14725	767	11	whole	whole	JJ
14725	767	12	layer	layer	NN
14725	767	13	separates	separate	VBZ
14725	767	14	easily	easily	RB
14725	767	15	from	from	IN
14725	767	16	its	-PRON-	PRP$
14725	767	17	neighbouring	neighbouring	NN
14725	767	18	layer	layer	NN
14725	767	19	since	since	IN
14725	767	20	each	each	DT
14725	767	21	spheroid	spheroid	NN
14725	767	22	has	have	VBZ
14725	767	23	to	to	TO
14725	767	24	be	be	VB
14725	767	25	detached	detach	VBN
14725	767	26	only	only	RB
14725	767	27	from	from	IN
14725	767	28	the	the	DT
14725	767	29	three	three	CD
14725	767	30	spheroids	spheroid	NNS
14725	767	31	of	of	IN
14725	767	32	the	the	DT
14725	767	33	next	next	JJ
14725	767	34	layer	layer	NN
14725	767	35	;	;	:
14725	767	36	of	of	IN
14725	767	37	which	which	WDT
14725	767	38	three	three	CD
14725	767	39	there	there	EX
14725	767	40	is	be	VBZ
14725	767	41	but	but	CC
14725	767	42	one	one	CD
14725	767	43	which	which	WDT
14725	767	44	touches	touch	VBZ
14725	767	45	it	-PRON-	PRP
14725	767	46	on	on	IN
14725	767	47	its	-PRON-	PRP$
14725	767	48	flattened	flattened	JJ
14725	767	49	surface	surface	NN
14725	767	50	,	,	,
14725	767	51	and	and	CC
14725	767	52	the	the	DT
14725	767	53	other	other	JJ
14725	767	54	two	two	CD
14725	767	55	at	at	IN
14725	767	56	the	the	DT
14725	767	57	edges	edge	NNS
14725	767	58	.	.	.
14725	768	1	And	and	CC
14725	768	2	the	the	DT
14725	768	3	reason	reason	NN
14725	768	4	why	why	WRB
14725	768	5	the	the	DT
14725	768	6	surfaces	surface	NNS
14725	768	7	separate	separate	VBP
14725	768	8	sharp	sharp	JJ
14725	768	9	and	and	CC
14725	768	10	polished	polished	JJ
14725	768	11	is	be	VBZ
14725	768	12	that	that	IN
14725	768	13	if	if	IN
14725	768	14	any	any	DT
14725	768	15	spheroid	spheroid	NN
14725	768	16	of	of	IN
14725	768	17	the	the	DT
14725	768	18	neighbouring	neighbouring	NN
14725	768	19	surface	surface	NN
14725	768	20	would	would	MD
14725	768	21	come	come	VB
14725	768	22	out	out	RP
14725	768	23	by	by	IN
14725	768	24	attaching	attach	VBG
14725	768	25	itself	-PRON-	PRP
14725	768	26	to	to	IN
14725	768	27	the	the	DT
14725	768	28	surface	surface	NN
14725	768	29	which	which	WDT
14725	768	30	is	be	VBZ
14725	768	31	being	be	VBG
14725	768	32	separated	separate	VBN
14725	768	33	,	,	,
14725	768	34	it	-PRON-	PRP
14725	768	35	would	would	MD
14725	768	36	be	be	VB
14725	768	37	needful	needful	JJ
14725	768	38	for	for	IN
14725	768	39	it	-PRON-	PRP
14725	768	40	to	to	TO
14725	768	41	detach	detach	VB
14725	768	42	itself	-PRON-	PRP
14725	768	43	from	from	IN
14725	768	44	six	six	CD
14725	768	45	other	other	JJ
14725	768	46	spheroids	spheroid	NNS
14725	768	47	which	which	WDT
14725	768	48	hold	hold	VBP
14725	768	49	it	-PRON-	PRP
14725	768	50	locked	lock	VBN
14725	768	51	,	,	,
14725	768	52	and	and	CC
14725	768	53	four	four	CD
14725	768	54	of	of	IN
14725	768	55	which	which	WDT
14725	768	56	press	press	VBP
14725	768	57	it	-PRON-	PRP
14725	768	58	by	by	IN
14725	768	59	these	these	DT
14725	768	60	flattened	flatten	VBD
14725	768	61	surfaces	surface	NNS
14725	768	62	.	.	.
14725	769	1	Since	since	IN
14725	769	2	then	then	RB
14725	769	3	not	not	RB
14725	769	4	only	only	RB
14725	769	5	the	the	DT
14725	769	6	angles	angle	NNS
14725	769	7	of	of	IN
14725	769	8	our	-PRON-	PRP$
14725	769	9	crystal	crystal	NN
14725	769	10	but	but	CC
14725	769	11	also	also	RB
14725	769	12	the	the	DT
14725	769	13	manner	manner	NN
14725	769	14	in	in	IN
14725	769	15	which	which	WDT
14725	769	16	it	-PRON-	PRP
14725	769	17	splits	split	VBZ
14725	769	18	agree	agree	VBP
14725	769	19	precisely	precisely	RB
14725	769	20	with	with	IN
14725	769	21	what	what	WP
14725	769	22	is	be	VBZ
14725	769	23	observed	observe	VBN
14725	769	24	in	in	IN
14725	769	25	the	the	DT
14725	769	26	assemblage	assemblage	NN
14725	769	27	composed	compose	VBN
14725	769	28	of	of	IN
14725	769	29	such	such	JJ
14725	769	30	spheroids	spheroid	NNS
14725	769	31	,	,	,
14725	769	32	there	there	EX
14725	769	33	is	be	VBZ
14725	769	34	great	great	JJ
14725	769	35	reason	reason	NN
14725	769	36	to	to	TO
14725	769	37	believe	believe	VB
14725	769	38	that	that	IN
14725	769	39	the	the	DT
14725	769	40	particles	particle	NNS
14725	769	41	are	be	VBP
14725	769	42	shaped	shape	VBN
14725	769	43	and	and	CC
14725	769	44	ranged	range	VBN
14725	769	45	in	in	IN
14725	769	46	the	the	DT
14725	769	47	same	same	JJ
14725	769	48	way	way	NN
14725	769	49	.	.	.
14725	770	1	[	[	-LRB-
14725	770	2	Illustration	illustration	NN
14725	770	3	:	:	:
14725	770	4	{	{	-LRB-
14725	770	5	Pyramid	Pyramid	NNP
14725	770	6	and	and	CC
14725	770	7	section	section	NN
14725	770	8	of	of	IN
14725	770	9	spheroids	spheroid	NNS
14725	770	10	}	}	-RRB-
14725	770	11	]	]	-RRB-
14725	770	12	There	there	EX
14725	770	13	is	be	VBZ
14725	770	14	even	even	RB
14725	770	15	probability	probability	NN
14725	770	16	enough	enough	RB
14725	770	17	that	that	IN
14725	770	18	the	the	DT
14725	770	19	prisms	prism	NNS
14725	770	20	of	of	IN
14725	770	21	this	this	DT
14725	770	22	crystal	crystal	NN
14725	770	23	are	be	VBP
14725	770	24	produced	produce	VBN
14725	770	25	by	by	IN
14725	770	26	the	the	DT
14725	770	27	breaking	breaking	NN
14725	770	28	up	up	RP
14725	770	29	of	of	IN
14725	770	30	pyramids	pyramid	NNS
14725	770	31	,	,	,
14725	770	32	since	since	IN
14725	770	33	Mr.	Mr.	NNP
14725	770	34	Bartholinus	Bartholinus	NNP
14725	770	35	relates	relate	VBZ
14725	770	36	that	that	IN
14725	770	37	he	-PRON-	PRP
14725	770	38	occasionally	occasionally	RB
14725	770	39	found	find	VBD
14725	770	40	some	some	DT
14725	770	41	pieces	piece	NNS
14725	770	42	of	of	IN
14725	770	43	triangularly	triangularly	RB
14725	770	44	pyramidal	pyramidal	JJ
14725	770	45	figure	figure	NN
14725	770	46	.	.	.
14725	771	1	But	but	CC
14725	771	2	when	when	WRB
14725	771	3	a	a	DT
14725	771	4	mass	mass	NN
14725	771	5	is	be	VBZ
14725	771	6	composed	compose	VBN
14725	771	7	interiorly	interiorly	RB
14725	771	8	only	only	RB
14725	771	9	of	of	IN
14725	771	10	these	these	DT
14725	771	11	little	little	JJ
14725	771	12	spheroids	spheroid	NNS
14725	771	13	thus	thus	RB
14725	771	14	piled	pile	VBD
14725	771	15	up	up	RP
14725	771	16	,	,	,
14725	771	17	whatever	whatever	WDT
14725	771	18	form	form	NN
14725	771	19	it	-PRON-	PRP
14725	771	20	may	may	MD
14725	771	21	have	have	VB
14725	771	22	exteriorly	exteriorly	RB
14725	771	23	,	,	,
14725	771	24	it	-PRON-	PRP
14725	771	25	is	be	VBZ
14725	771	26	certain	certain	JJ
14725	771	27	,	,	,
14725	771	28	by	by	IN
14725	771	29	the	the	DT
14725	771	30	same	same	JJ
14725	771	31	reasoning	reasoning	NN
14725	771	32	which	which	WDT
14725	771	33	I	-PRON-	PRP
14725	771	34	have	have	VBP
14725	771	35	just	just	RB
14725	771	36	explained	explain	VBN
14725	771	37	,	,	,
14725	771	38	that	that	IN
14725	771	39	if	if	IN
14725	771	40	broken	break	VBN
14725	771	41	it	-PRON-	PRP
14725	771	42	would	would	MD
14725	771	43	produce	produce	VB
14725	771	44	similar	similar	JJ
14725	771	45	prisms	prism	NNS
14725	771	46	.	.	.
14725	772	1	It	-PRON-	PRP
14725	772	2	remains	remain	VBZ
14725	772	3	to	to	TO
14725	772	4	be	be	VB
14725	772	5	seen	see	VBN
14725	772	6	whether	whether	IN
14725	772	7	there	there	EX
14725	772	8	are	be	VBP
14725	772	9	other	other	JJ
14725	772	10	reasons	reason	NNS
14725	772	11	which	which	WDT
14725	772	12	confirm	confirm	VBP
14725	772	13	our	-PRON-	PRP$
14725	772	14	conjecture	conjecture	NN
14725	772	15	,	,	,
14725	772	16	and	and	CC
14725	772	17	whether	whether	IN
14725	772	18	there	there	EX
14725	772	19	are	be	VBP
14725	772	20	none	none	NN
14725	772	21	which	which	WDT
14725	772	22	are	be	VBP
14725	772	23	repugnant	repugnant	JJ
14725	772	24	to	to	IN
14725	772	25	it	-PRON-	PRP
14725	772	26	.	.	.
14725	773	1	[	[	-LRB-
14725	773	2	Illustration	illustration	NN
14725	773	3	:	:	:
14725	773	4	{	{	-LRB-
14725	773	5	paralleloid	paralleloid	JJ
14725	773	6	arrangement	arrangement	NN
14725	773	7	of	of	IN
14725	773	8	spheroids	spheroid	NNS
14725	773	9	with	with	IN
14725	773	10	planes	plane	NNS
14725	773	11	of	of	IN
14725	773	12	potential	potential	JJ
14725	773	13	cleavage	cleavage	NN
14725	773	14	}	}	-RRB-
14725	773	15	]	]	-RRB-
14725	773	16	It	-PRON-	PRP
14725	773	17	may	may	MD
14725	773	18	be	be	VB
14725	773	19	objected	object	VBN
14725	773	20	that	that	IN
14725	773	21	this	this	DT
14725	773	22	crystal	crystal	NN
14725	773	23	,	,	,
14725	773	24	being	be	VBG
14725	773	25	so	so	RB
14725	773	26	composed	compose	VBN
14725	773	27	,	,	,
14725	773	28	might	may	MD
14725	773	29	be	be	VB
14725	773	30	capable	capable	JJ
14725	773	31	of	of	IN
14725	773	32	cleavage	cleavage	NN
14725	773	33	in	in	IN
14725	773	34	yet	yet	RB
14725	773	35	two	two	CD
14725	773	36	more	more	JJR
14725	773	37	fashions	fashion	NNS
14725	773	38	;	;	:
14725	773	39	one	one	CD
14725	773	40	of	of	IN
14725	773	41	which	which	WDT
14725	773	42	would	would	MD
14725	773	43	be	be	VB
14725	773	44	along	along	IN
14725	773	45	planes	plane	NNS
14725	773	46	parallel	parallel	JJ
14725	773	47	to	to	IN
14725	773	48	the	the	DT
14725	773	49	base	base	NN
14725	773	50	of	of	IN
14725	773	51	the	the	DT
14725	773	52	pyramid	pyramid	NN
14725	773	53	,	,	,
14725	773	54	that	that	DT
14725	773	55	is	be	VBZ
14725	773	56	to	to	TO
14725	773	57	say	say	VB
14725	773	58	to	to	IN
14725	773	59	the	the	DT
14725	773	60	triangle	triangle	NN
14725	773	61	ABC	ABC	NNP
14725	773	62	;	;	:
14725	773	63	the	the	DT
14725	773	64	other	other	JJ
14725	773	65	would	would	MD
14725	773	66	be	be	VB
14725	773	67	parallel	parallel	JJ
14725	773	68	to	to	IN
14725	773	69	a	a	DT
14725	773	70	plane	plane	NN
14725	773	71	the	the	DT
14725	773	72	trace	trace	NN
14725	773	73	of	of	IN
14725	773	74	which	which	WDT
14725	773	75	is	be	VBZ
14725	773	76	marked	mark	VBN
14725	773	77	by	by	IN
14725	773	78	the	the	DT
14725	773	79	lines	line	NNS
14725	773	80	GH	GH	NNP
14725	773	81	,	,	,
14725	773	82	HK	HK	NNP
14725	773	83	,	,	,
14725	773	84	KL	KL	NNP
14725	773	85	.	.	.
14725	774	1	To	to	TO
14725	774	2	which	which	WDT
14725	774	3	I	-PRON-	PRP
14725	774	4	say	say	VBP
14725	774	5	that	that	IN
14725	774	6	both	both	CC
14725	774	7	the	the	DT
14725	774	8	one	one	NN
14725	774	9	and	and	CC
14725	774	10	the	the	DT
14725	774	11	other	other	JJ
14725	774	12	,	,	,
14725	774	13	though	though	IN
14725	774	14	practicable	practicable	JJ
14725	774	15	,	,	,
14725	774	16	are	be	VBP
14725	774	17	more	more	RBR
14725	774	18	difficult	difficult	JJ
14725	774	19	than	than	IN
14725	774	20	those	those	DT
14725	774	21	which	which	WDT
14725	774	22	were	be	VBD
14725	774	23	parallel	parallel	JJ
14725	774	24	to	to	IN
14725	774	25	any	any	DT
14725	774	26	one	one	CD
14725	774	27	of	of	IN
14725	774	28	the	the	DT
14725	774	29	three	three	CD
14725	774	30	planes	plane	NNS
14725	774	31	of	of	IN
14725	774	32	the	the	DT
14725	774	33	pyramid	pyramid	NN
14725	774	34	;	;	:
14725	774	35	and	and	CC
14725	774	36	that	that	IN
14725	774	37	therefore	therefore	RB
14725	774	38	,	,	,
14725	774	39	when	when	WRB
14725	774	40	striking	strike	VBG
14725	774	41	on	on	IN
14725	774	42	the	the	DT
14725	774	43	crystal	crystal	NN
14725	774	44	in	in	IN
14725	774	45	order	order	NN
14725	774	46	to	to	TO
14725	774	47	break	break	VB
14725	774	48	it	-PRON-	PRP
14725	774	49	,	,	,
14725	774	50	it	-PRON-	PRP
14725	774	51	ought	ought	MD
14725	774	52	always	always	RB
14725	774	53	to	to	TO
14725	774	54	split	split	VB
14725	774	55	rather	rather	RB
14725	774	56	along	along	IN
14725	774	57	these	these	DT
14725	774	58	three	three	CD
14725	774	59	planes	plane	NNS
14725	774	60	than	than	IN
14725	774	61	along	along	IN
14725	774	62	the	the	DT
14725	774	63	two	two	CD
14725	774	64	others	other	NNS
14725	774	65	.	.	.
14725	775	1	When	when	WRB
14725	775	2	one	one	PRP
14725	775	3	has	have	VBZ
14725	775	4	a	a	DT
14725	775	5	number	number	NN
14725	775	6	of	of	IN
14725	775	7	spheroids	spheroid	NNS
14725	775	8	of	of	IN
14725	775	9	the	the	DT
14725	775	10	form	form	NN
14725	775	11	above	above	IN
14725	775	12	described	describe	VBN
14725	775	13	,	,	,
14725	775	14	and	and	CC
14725	775	15	ranges	range	VBZ
14725	775	16	them	-PRON-	PRP
14725	775	17	in	in	IN
14725	775	18	a	a	DT
14725	775	19	pyramid	pyramid	NN
14725	775	20	,	,	,
14725	775	21	one	one	PRP
14725	775	22	sees	see	VBZ
14725	775	23	why	why	WRB
14725	775	24	the	the	DT
14725	775	25	two	two	CD
14725	775	26	methods	method	NNS
14725	775	27	of	of	IN
14725	775	28	division	division	NN
14725	775	29	are	be	VBP
14725	775	30	more	more	RBR
14725	775	31	difficult	difficult	JJ
14725	775	32	.	.	.
14725	776	1	For	for	IN
14725	776	2	in	in	IN
14725	776	3	the	the	DT
14725	776	4	case	case	NN
14725	776	5	of	of	IN
14725	776	6	that	that	DT
14725	776	7	division	division	NN
14725	776	8	which	which	WDT
14725	776	9	would	would	MD
14725	776	10	be	be	VB
14725	776	11	parallel	parallel	JJ
14725	776	12	to	to	IN
14725	776	13	the	the	DT
14725	776	14	base	base	NN
14725	776	15	,	,	,
14725	776	16	each	each	DT
14725	776	17	spheroid	spheroid	NN
14725	776	18	would	would	MD
14725	776	19	be	be	VB
14725	776	20	obliged	oblige	VBN
14725	776	21	to	to	TO
14725	776	22	detach	detach	VB
14725	776	23	itself	-PRON-	PRP
14725	776	24	from	from	IN
14725	776	25	three	three	CD
14725	776	26	others	other	NNS
14725	776	27	which	which	WDT
14725	776	28	it	-PRON-	PRP
14725	776	29	touches	touch	VBZ
14725	776	30	upon	upon	IN
14725	776	31	their	-PRON-	PRP$
14725	776	32	flattened	flatten	VBN
14725	776	33	surfaces	surface	NNS
14725	776	34	,	,	,
14725	776	35	which	which	WDT
14725	776	36	hold	hold	VBP
14725	776	37	more	more	RBR
14725	776	38	strongly	strongly	RB
14725	776	39	than	than	IN
14725	776	40	the	the	DT
14725	776	41	contacts	contact	NNS
14725	776	42	at	at	IN
14725	776	43	the	the	DT
14725	776	44	edges	edge	NNS
14725	776	45	.	.	.
14725	777	1	And	and	CC
14725	777	2	besides	besides	IN
14725	777	3	that	that	DT
14725	777	4	,	,	,
14725	777	5	this	this	DT
14725	777	6	division	division	NN
14725	777	7	will	will	MD
14725	777	8	not	not	RB
14725	777	9	occur	occur	VB
14725	777	10	along	along	IN
14725	777	11	entire	entire	JJ
14725	777	12	layers	layer	NNS
14725	777	13	,	,	,
14725	777	14	because	because	IN
14725	777	15	each	each	DT
14725	777	16	of	of	IN
14725	777	17	the	the	DT
14725	777	18	spheroids	spheroid	NNS
14725	777	19	of	of	IN
14725	777	20	a	a	DT
14725	777	21	layer	layer	NN
14725	777	22	is	be	VBZ
14725	777	23	scarcely	scarcely	RB
14725	777	24	held	hold	VBN
14725	777	25	at	at	RB
14725	777	26	all	all	RB
14725	777	27	by	by	IN
14725	777	28	the	the	DT
14725	777	29	6	6	CD
14725	777	30	of	of	IN
14725	777	31	the	the	DT
14725	777	32	same	same	JJ
14725	777	33	layer	layer	NN
14725	777	34	that	that	WDT
14725	777	35	surround	surround	VBP
14725	777	36	it	-PRON-	PRP
14725	777	37	,	,	,
14725	777	38	since	since	IN
14725	777	39	they	-PRON-	PRP
14725	777	40	only	only	RB
14725	777	41	touch	touch	VBP
14725	777	42	it	-PRON-	PRP
14725	777	43	at	at	IN
14725	777	44	the	the	DT
14725	777	45	edges	edge	NNS
14725	777	46	;	;	:
14725	777	47	so	so	IN
14725	777	48	that	that	IN
14725	777	49	it	-PRON-	PRP
14725	777	50	adheres	adhere	VBZ
14725	777	51	readily	readily	RB
14725	777	52	to	to	IN
14725	777	53	the	the	DT
14725	777	54	neighbouring	neighbour	VBG
14725	777	55	layer	layer	NN
14725	777	56	,	,	,
14725	777	57	and	and	CC
14725	777	58	the	the	DT
14725	777	59	others	other	NNS
14725	777	60	to	to	IN
14725	777	61	it	-PRON-	PRP
14725	777	62	,	,	,
14725	777	63	for	for	IN
14725	777	64	the	the	DT
14725	777	65	same	same	JJ
14725	777	66	reason	reason	NN
14725	777	67	;	;	:
14725	777	68	and	and	CC
14725	777	69	this	this	DT
14725	777	70	causes	cause	VBZ
14725	777	71	uneven	uneven	JJ
14725	777	72	surfaces	surface	NNS
14725	777	73	.	.	.
14725	778	1	Also	also	RB
14725	778	2	one	one	PRP
14725	778	3	sees	see	VBZ
14725	778	4	by	by	IN
14725	778	5	experiment	experiment	NN
14725	778	6	that	that	IN
14725	778	7	when	when	WRB
14725	778	8	grinding	grind	VBG
14725	778	9	down	down	RP
14725	778	10	the	the	DT
14725	778	11	crystal	crystal	NN
14725	778	12	on	on	IN
14725	778	13	a	a	DT
14725	778	14	rather	rather	RB
14725	778	15	rough	rough	JJ
14725	778	16	stone	stone	NN
14725	778	17	,	,	,
14725	778	18	directly	directly	RB
14725	778	19	on	on	IN
14725	778	20	the	the	DT
14725	778	21	equilateral	equilateral	JJ
14725	778	22	solid	solid	JJ
14725	778	23	angle	angle	NN
14725	778	24	,	,	,
14725	778	25	one	one	CD
14725	778	26	verily	verily	RB
14725	778	27	finds	find	VBZ
14725	778	28	much	much	JJ
14725	778	29	facility	facility	NN
14725	778	30	in	in	IN
14725	778	31	reducing	reduce	VBG
14725	778	32	it	-PRON-	PRP
14725	778	33	in	in	IN
14725	778	34	this	this	DT
14725	778	35	direction	direction	NN
14725	778	36	,	,	,
14725	778	37	but	but	CC
14725	778	38	much	much	JJ
14725	778	39	difficulty	difficulty	NN
14725	778	40	afterwards	afterwards	RB
14725	778	41	in	in	IN
14725	778	42	polishing	polish	VBG
14725	778	43	the	the	DT
14725	778	44	surface	surface	NN
14725	778	45	which	which	WDT
14725	778	46	has	have	VBZ
14725	778	47	been	be	VBN
14725	778	48	flattened	flatten	VBN
14725	778	49	in	in	IN
14725	778	50	this	this	DT
14725	778	51	manner	manner	NN
14725	778	52	.	.	.
14725	779	1	As	as	IN
14725	779	2	for	for	IN
14725	779	3	the	the	DT
14725	779	4	other	other	JJ
14725	779	5	method	method	NN
14725	779	6	of	of	IN
14725	779	7	division	division	NN
14725	779	8	along	along	IN
14725	779	9	the	the	DT
14725	779	10	plane	plane	NN
14725	779	11	GHKL	ghkl	NN
14725	779	12	,	,	,
14725	779	13	it	-PRON-	PRP
14725	779	14	will	will	MD
14725	779	15	be	be	VB
14725	779	16	seen	see	VBN
14725	779	17	that	that	IN
14725	779	18	each	each	DT
14725	779	19	spheroid	spheroid	NN
14725	779	20	would	would	MD
14725	779	21	have	have	VB
14725	779	22	to	to	TO
14725	779	23	detach	detach	VB
14725	779	24	itself	-PRON-	PRP
14725	779	25	from	from	IN
14725	779	26	four	four	CD
14725	779	27	of	of	IN
14725	779	28	the	the	DT
14725	779	29	neighbouring	neighbouring	NN
14725	779	30	layer	layer	NN
14725	779	31	,	,	,
14725	779	32	two	two	CD
14725	779	33	of	of	IN
14725	779	34	which	which	WDT
14725	779	35	touch	touch	VBP
14725	779	36	it	-PRON-	PRP
14725	779	37	on	on	IN
14725	779	38	the	the	DT
14725	779	39	flattened	flattened	JJ
14725	779	40	surfaces	surface	NNS
14725	779	41	,	,	,
14725	779	42	and	and	CC
14725	779	43	two	two	CD
14725	779	44	at	at	IN
14725	779	45	the	the	DT
14725	779	46	edges	edge	NNS
14725	779	47	.	.	.
14725	780	1	So	so	RB
14725	780	2	that	that	IN
14725	780	3	this	this	DT
14725	780	4	division	division	NN
14725	780	5	is	be	VBZ
14725	780	6	likewise	likewise	RB
14725	780	7	more	more	RBR
14725	780	8	difficult	difficult	JJ
14725	780	9	than	than	IN
14725	780	10	that	that	DT
14725	780	11	which	which	WDT
14725	780	12	is	be	VBZ
14725	780	13	made	make	VBN
14725	780	14	parallel	parallel	JJ
14725	780	15	to	to	IN
14725	780	16	one	one	CD
14725	780	17	of	of	IN
14725	780	18	the	the	DT
14725	780	19	surfaces	surface	NNS
14725	780	20	of	of	IN
14725	780	21	the	the	DT
14725	780	22	crystal	crystal	NN
14725	780	23	;	;	:
14725	780	24	where	where	WRB
14725	780	25	,	,	,
14725	780	26	as	as	IN
14725	780	27	we	-PRON-	PRP
14725	780	28	have	have	VBP
14725	780	29	said	say	VBD
14725	780	30	,	,	,
14725	780	31	each	each	DT
14725	780	32	spheroid	spheroid	NN
14725	780	33	is	be	VBZ
14725	780	34	detached	detach	VBN
14725	780	35	from	from	IN
14725	780	36	only	only	RB
14725	780	37	three	three	CD
14725	780	38	of	of	IN
14725	780	39	the	the	DT
14725	780	40	neighbouring	neighbouring	NN
14725	780	41	layer	layer	NN
14725	780	42	:	:	:
14725	780	43	of	of	IN
14725	780	44	which	which	WDT
14725	780	45	three	three	CD
14725	780	46	there	there	EX
14725	780	47	is	be	VBZ
14725	780	48	one	one	CD
14725	780	49	only	only	RB
14725	780	50	which	which	WDT
14725	780	51	touches	touch	VBZ
14725	780	52	it	-PRON-	PRP
14725	780	53	on	on	IN
14725	780	54	the	the	DT
14725	780	55	flattened	flattened	JJ
14725	780	56	surface	surface	NN
14725	780	57	,	,	,
14725	780	58	and	and	CC
14725	780	59	the	the	DT
14725	780	60	other	other	JJ
14725	780	61	two	two	CD
14725	780	62	at	at	IN
14725	780	63	the	the	DT
14725	780	64	edges	edge	NNS
14725	780	65	only	only	RB
14725	780	66	.	.	.
14725	781	1	However	however	RB
14725	781	2	,	,	,
14725	781	3	that	that	IN
14725	781	4	which	which	WDT
14725	781	5	has	have	VBZ
14725	781	6	made	make	VBN
14725	781	7	me	-PRON-	PRP
14725	781	8	know	know	VB
14725	781	9	that	that	IN
14725	781	10	in	in	IN
14725	781	11	the	the	DT
14725	781	12	crystal	crystal	NN
14725	781	13	there	there	EX
14725	781	14	are	be	VBP
14725	781	15	layers	layer	NNS
14725	781	16	in	in	IN
14725	781	17	this	this	DT
14725	781	18	last	last	JJ
14725	781	19	fashion	fashion	NN
14725	781	20	,	,	,
14725	781	21	is	be	VBZ
14725	781	22	that	that	IN
14725	781	23	in	in	IN
14725	781	24	a	a	DT
14725	781	25	piece	piece	NN
14725	781	26	weighing	weigh	VBG
14725	781	27	half	half	PDT
14725	781	28	a	a	DT
14725	781	29	pound	pound	NN
14725	781	30	which	which	WDT
14725	781	31	I	-PRON-	PRP
14725	781	32	possess	possess	VBP
14725	781	33	,	,	,
14725	781	34	one	one	PRP
14725	781	35	sees	see	VBZ
14725	781	36	that	that	IN
14725	781	37	it	-PRON-	PRP
14725	781	38	is	be	VBZ
14725	781	39	split	split	VBN
14725	781	40	along	along	IN
14725	781	41	its	-PRON-	PRP$
14725	781	42	length	length	NN
14725	781	43	,	,	,
14725	781	44	as	as	IN
14725	781	45	is	be	VBZ
14725	781	46	the	the	DT
14725	781	47	above	above	RB
14725	781	48	-	-	HYPH
14725	781	49	mentioned	mention	VBN
14725	781	50	prism	prism	NN
14725	781	51	by	by	IN
14725	781	52	the	the	DT
14725	781	53	plane	plane	NN
14725	781	54	GHKL	ghkl	NN
14725	781	55	;	;	:
14725	781	56	as	as	IN
14725	781	57	appears	appear	VBZ
14725	781	58	by	by	IN
14725	781	59	colours	colour	NNS
14725	781	60	of	of	IN
14725	781	61	the	the	DT
14725	781	62	Iris	Iris	NNP
14725	781	63	extending	extend	VBG
14725	781	64	throughout	throughout	IN
14725	781	65	this	this	DT
14725	781	66	whole	whole	JJ
14725	781	67	plane	plane	NN
14725	781	68	although	although	IN
14725	781	69	the	the	DT
14725	781	70	two	two	CD
14725	781	71	pieces	piece	NNS
14725	781	72	still	still	RB
14725	781	73	hold	hold	VBP
14725	781	74	together	together	RB
14725	781	75	.	.	.
14725	782	1	All	all	PDT
14725	782	2	this	this	DT
14725	782	3	proves	prove	VBZ
14725	782	4	then	then	RB
14725	782	5	that	that	IN
14725	782	6	the	the	DT
14725	782	7	composition	composition	NN
14725	782	8	of	of	IN
14725	782	9	the	the	DT
14725	782	10	crystal	crystal	NN
14725	782	11	is	be	VBZ
14725	782	12	such	such	JJ
14725	782	13	as	as	IN
14725	782	14	we	-PRON-	PRP
14725	782	15	have	have	VBP
14725	782	16	stated	state	VBN
14725	782	17	.	.	.
14725	783	1	To	to	TO
14725	783	2	which	which	WDT
14725	783	3	I	-PRON-	PRP
14725	783	4	again	again	RB
14725	783	5	add	add	VBP
14725	783	6	this	this	DT
14725	783	7	experiment	experiment	NN
14725	783	8	;	;	:
14725	783	9	that	that	IN
14725	783	10	if	if	IN
14725	783	11	one	one	PRP
14725	783	12	passes	pass	VBZ
14725	783	13	a	a	DT
14725	783	14	knife	knife	NN
14725	783	15	scraping	scrape	VBG
14725	783	16	along	along	IN
14725	783	17	any	any	DT
14725	783	18	one	one	CD
14725	783	19	of	of	IN
14725	783	20	the	the	DT
14725	783	21	natural	natural	JJ
14725	783	22	surfaces	surface	NNS
14725	783	23	,	,	,
14725	783	24	and	and	CC
14725	783	25	downwards	downwards	RB
14725	783	26	as	as	IN
14725	783	27	it	-PRON-	PRP
14725	783	28	were	be	VBD
14725	783	29	from	from	IN
14725	783	30	the	the	DT
14725	783	31	equilateral	equilateral	JJ
14725	783	32	obtuse	obtuse	NNP
14725	783	33	angle	angle	NN
14725	783	34	,	,	,
14725	783	35	that	that	DT
14725	783	36	is	be	VBZ
14725	783	37	to	to	TO
14725	783	38	say	say	VB
14725	783	39	from	from	IN
14725	783	40	the	the	DT
14725	783	41	apex	apex	NN
14725	783	42	of	of	IN
14725	783	43	the	the	DT
14725	783	44	pyramid	pyramid	NNP
14725	783	45	,	,	,
14725	783	46	one	one	NN
14725	783	47	finds	find	VBZ
14725	783	48	it	-PRON-	PRP
14725	783	49	quite	quite	RB
14725	783	50	hard	hard	RB
14725	783	51	;	;	:
14725	783	52	but	but	CC
14725	783	53	by	by	IN
14725	783	54	scraping	scrape	VBG
14725	783	55	in	in	IN
14725	783	56	the	the	DT
14725	783	57	opposite	opposite	JJ
14725	783	58	sense	sense	NN
14725	783	59	an	an	DT
14725	783	60	incision	incision	NN
14725	783	61	is	be	VBZ
14725	783	62	easily	easily	RB
14725	783	63	made	make	VBN
14725	783	64	.	.	.
14725	784	1	This	this	DT
14725	784	2	follows	follow	VBZ
14725	784	3	manifestly	manifestly	RB
14725	784	4	from	from	IN
14725	784	5	the	the	DT
14725	784	6	situation	situation	NN
14725	784	7	of	of	IN
14725	784	8	the	the	DT
14725	784	9	small	small	JJ
14725	784	10	spheroids	spheroid	NNS
14725	784	11	;	;	:
14725	784	12	over	over	IN
14725	784	13	which	which	WDT
14725	784	14	,	,	,
14725	784	15	in	in	IN
14725	784	16	the	the	DT
14725	784	17	first	first	JJ
14725	784	18	manner	manner	NN
14725	784	19	,	,	,
14725	784	20	the	the	DT
14725	784	21	knife	knife	NN
14725	784	22	glides	glide	VBZ
14725	784	23	;	;	:
14725	784	24	but	but	CC
14725	784	25	in	in	IN
14725	784	26	the	the	DT
14725	784	27	other	other	JJ
14725	784	28	manner	manner	NN
14725	784	29	it	-PRON-	PRP
14725	784	30	seizes	seize	VBZ
14725	784	31	them	-PRON-	PRP
14725	784	32	from	from	IN
14725	784	33	beneath	beneath	RB
14725	784	34	almost	almost	RB
14725	784	35	as	as	IN
14725	784	36	if	if	IN
14725	784	37	they	-PRON-	PRP
14725	784	38	were	be	VBD
14725	784	39	the	the	DT
14725	784	40	scales	scale	NNS
14725	784	41	of	of	IN
14725	784	42	a	a	DT
14725	784	43	fish	fish	NN
14725	784	44	.	.	.
14725	785	1	I	-PRON-	PRP
14725	785	2	will	will	MD
14725	785	3	not	not	RB
14725	785	4	undertake	undertake	VB
14725	785	5	to	to	TO
14725	785	6	say	say	VB
14725	785	7	anything	anything	NN
14725	785	8	touching	touch	VBG
14725	785	9	the	the	DT
14725	785	10	way	way	NN
14725	785	11	in	in	IN
14725	785	12	which	which	WDT
14725	785	13	so	so	RB
14725	785	14	many	many	JJ
14725	785	15	corpuscles	corpuscle	NNS
14725	785	16	all	all	DT
14725	785	17	equal	equal	JJ
14725	785	18	and	and	CC
14725	785	19	similar	similar	JJ
14725	785	20	are	be	VBP
14725	785	21	generated	generate	VBN
14725	785	22	,	,	,
14725	785	23	nor	nor	CC
14725	785	24	how	how	WRB
14725	785	25	they	-PRON-	PRP
14725	785	26	are	be	VBP
14725	785	27	set	set	VBN
14725	785	28	in	in	IN
14725	785	29	such	such	JJ
14725	785	30	beautiful	beautiful	JJ
14725	785	31	order	order	NN
14725	785	32	;	;	:
14725	785	33	whether	whether	IN
14725	785	34	they	-PRON-	PRP
14725	785	35	are	be	VBP
14725	785	36	formed	form	VBN
14725	785	37	first	first	RB
14725	785	38	and	and	CC
14725	785	39	then	then	RB
14725	785	40	assembled	assemble	VBN
14725	785	41	,	,	,
14725	785	42	or	or	CC
14725	785	43	whether	whether	IN
14725	785	44	they	-PRON-	PRP
14725	785	45	arrange	arrange	VBP
14725	785	46	themselves	-PRON-	PRP
14725	785	47	thus	thus	RB
14725	785	48	in	in	IN
14725	785	49	coming	come	VBG
14725	785	50	into	into	IN
14725	785	51	being	being	NN
14725	785	52	and	and	CC
14725	785	53	as	as	RB
14725	785	54	fast	fast	RB
14725	785	55	as	as	IN
14725	785	56	they	-PRON-	PRP
14725	785	57	are	be	VBP
14725	785	58	produced	produce	VBN
14725	785	59	,	,	,
14725	785	60	which	which	WDT
14725	785	61	seems	seem	VBZ
14725	785	62	to	to	IN
14725	785	63	me	-PRON-	PRP
14725	785	64	more	more	RBR
14725	785	65	probable	probable	JJ
14725	785	66	.	.	.
14725	786	1	To	to	TO
14725	786	2	develop	develop	VB
14725	786	3	truths	truth	NNS
14725	786	4	so	so	RB
14725	786	5	recondite	recondite	JJ
14725	786	6	there	there	EX
14725	786	7	would	would	MD
14725	786	8	be	be	VB
14725	786	9	needed	need	VBN
14725	786	10	a	a	DT
14725	786	11	knowledge	knowledge	NN
14725	786	12	of	of	IN
14725	786	13	nature	nature	NN
14725	786	14	much	much	RB
14725	786	15	greater	great	JJR
14725	786	16	than	than	IN
14725	786	17	that	that	DT
14725	786	18	which	which	WDT
14725	786	19	we	-PRON-	PRP
14725	786	20	have	have	VBP
14725	786	21	.	.	.
14725	787	1	I	-PRON-	PRP
14725	787	2	will	will	MD
14725	787	3	add	add	VB
14725	787	4	only	only	RB
14725	787	5	that	that	IN
14725	787	6	these	these	DT
14725	787	7	little	little	JJ
14725	787	8	spheroids	spheroid	NNS
14725	787	9	could	could	MD
14725	787	10	well	well	RB
14725	787	11	contribute	contribute	VB
14725	787	12	to	to	TO
14725	787	13	form	form	VB
14725	787	14	the	the	DT
14725	787	15	spheroids	spheroid	NNS
14725	787	16	of	of	IN
14725	787	17	the	the	DT
14725	787	18	waves	wave	NNS
14725	787	19	of	of	IN
14725	787	20	light	light	NN
14725	787	21	,	,	,
14725	787	22	here	here	RB
14725	787	23	above	above	IN
14725	787	24	supposed	suppose	VBN
14725	787	25	,	,	,
14725	787	26	these	these	DT
14725	787	27	as	as	RB
14725	787	28	well	well	RB
14725	787	29	as	as	IN
14725	787	30	those	those	DT
14725	787	31	being	be	VBG
14725	787	32	similarly	similarly	RB
14725	787	33	situated	situate	VBN
14725	787	34	,	,	,
14725	787	35	and	and	CC
14725	787	36	with	with	IN
14725	787	37	their	-PRON-	PRP$
14725	787	38	axes	axis	NNS
14725	787	39	parallel	parallel	NN
14725	787	40	.	.	.
14725	788	1	_	_	NNP
14725	788	2	Calculations	Calculations	NNP
14725	788	3	which	which	WDT
14725	788	4	have	have	VBP
14725	788	5	been	be	VBN
14725	788	6	supposed	suppose	VBN
14725	788	7	in	in	IN
14725	788	8	this	this	DT
14725	788	9	Chapter	Chapter	NNP
14725	788	10	_	_	NNP
14725	788	11	.	.	.
14725	789	1	Mr.	Mr.	NNP
14725	789	2	Bartholinus	Bartholinus	NNP
14725	789	3	,	,	,
14725	789	4	in	in	IN
14725	789	5	his	-PRON-	PRP$
14725	789	6	treatise	treatise	NN
14725	789	7	of	of	IN
14725	789	8	this	this	DT
14725	789	9	Crystal	Crystal	NNP
14725	789	10	,	,	,
14725	789	11	puts	put	VBZ
14725	789	12	at	at	IN
14725	789	13	101	101	CD
14725	789	14	degrees	degree	NNS
14725	789	15	the	the	DT
14725	789	16	obtuse	obtuse	JJ
14725	789	17	angles	angle	NNS
14725	789	18	of	of	IN
14725	789	19	the	the	DT
14725	789	20	faces	face	NNS
14725	789	21	,	,	,
14725	789	22	which	which	WDT
14725	789	23	I	-PRON-	PRP
14725	789	24	have	have	VBP
14725	789	25	stated	state	VBN
14725	789	26	to	to	TO
14725	789	27	be	be	VB
14725	789	28	101	101	CD
14725	789	29	degrees	degree	NNS
14725	789	30	52	52	CD
14725	789	31	minutes	minute	NNS
14725	789	32	.	.	.
14725	790	1	He	-PRON-	PRP
14725	790	2	states	state	VBZ
14725	790	3	that	that	IN
14725	790	4	he	-PRON-	PRP
14725	790	5	measured	measure	VBD
14725	790	6	these	these	DT
14725	790	7	angles	angle	NNS
14725	790	8	directly	directly	RB
14725	790	9	on	on	IN
14725	790	10	the	the	DT
14725	790	11	crystal	crystal	NN
14725	790	12	,	,	,
14725	790	13	which	which	WDT
14725	790	14	is	be	VBZ
14725	790	15	difficult	difficult	JJ
14725	790	16	to	to	TO
14725	790	17	do	do	VB
14725	790	18	with	with	IN
14725	790	19	ultimate	ultimate	JJ
14725	790	20	exactitude	exactitude	NN
14725	790	21	,	,	,
14725	790	22	because	because	IN
14725	790	23	the	the	DT
14725	790	24	edges	edge	NNS
14725	790	25	such	such	JJ
14725	790	26	as	as	IN
14725	790	27	CA	CA	NNP
14725	790	28	,	,	,
14725	790	29	CB	CB	NNP
14725	790	30	,	,	,
14725	790	31	in	in	IN
14725	790	32	this	this	DT
14725	790	33	figure	figure	NN
14725	790	34	,	,	,
14725	790	35	are	be	VBP
14725	790	36	generally	generally	RB
14725	790	37	worn	wear	VBN
14725	790	38	,	,	,
14725	790	39	and	and	CC
14725	790	40	not	not	RB
14725	790	41	quite	quite	RB
14725	790	42	straight	straight	JJ
14725	790	43	.	.	.
14725	791	1	For	for	IN
14725	791	2	more	more	JJR
14725	791	3	certainty	certainty	NN
14725	791	4	,	,	,
14725	791	5	therefore	therefore	RB
14725	791	6	,	,	,
14725	791	7	I	-PRON-	PRP
14725	791	8	preferred	prefer	VBD
14725	791	9	to	to	TO
14725	791	10	measure	measure	VB
14725	791	11	actually	actually	RB
14725	791	12	the	the	DT
14725	791	13	obtuse	obtuse	JJ
14725	791	14	angle	angle	NN
14725	791	15	by	by	IN
14725	791	16	which	which	WDT
14725	791	17	the	the	DT
14725	791	18	faces	face	VBZ
14725	791	19	CBDA	CBDA	NNP
14725	791	20	,	,	,
14725	791	21	CBVF	CBVF	NNP
14725	791	22	,	,	,
14725	791	23	are	be	VBP
14725	791	24	inclined	inclined	JJ
14725	791	25	to	to	IN
14725	791	26	one	one	CD
14725	791	27	another	another	DT
14725	791	28	,	,	,
14725	791	29	namely	namely	RB
14725	791	30	the	the	DT
14725	791	31	angle	angle	NN
14725	791	32	OCN	OCN	NNP
14725	791	33	formed	form	VBN
14725	791	34	by	by	IN
14725	791	35	drawing	draw	VBG
14725	791	36	CN	CN	NNP
14725	791	37	perpendicular	perpendicular	JJ
14725	791	38	to	to	IN
14725	791	39	FV	FV	NNP
14725	791	40	,	,	,
14725	791	41	and	and	CC
14725	791	42	CO	CO	NNP
14725	791	43	perpendicular	perpendicular	JJ
14725	791	44	to	to	IN
14725	791	45	DA	DA	NNP
14725	791	46	.	.	.
14725	792	1	This	this	DT
14725	792	2	angle	angle	NN
14725	792	3	OCN	OCN	NNP
14725	792	4	I	-PRON-	PRP
14725	792	5	found	find	VBD
14725	792	6	to	to	TO
14725	792	7	be	be	VB
14725	792	8	105	105	CD
14725	792	9	degrees	degree	NNS
14725	792	10	;	;	:
14725	792	11	and	and	CC
14725	792	12	its	-PRON-	PRP$
14725	792	13	supplement	supplement	JJ
14725	792	14	CNP	cnp	NN
14725	792	15	,	,	,
14725	792	16	to	to	TO
14725	792	17	be	be	VB
14725	792	18	75	75	CD
14725	792	19	degrees	degree	NNS
14725	792	20	,	,	,
14725	792	21	as	as	IN
14725	792	22	it	-PRON-	PRP
14725	792	23	should	should	MD
14725	792	24	be	be	VB
14725	792	25	.	.	.
14725	793	1	[	[	-LRB-
14725	793	2	Illustration	illustration	NN
14725	793	3	]	]	-RRB-
14725	793	4	To	to	TO
14725	793	5	find	find	VB
14725	793	6	from	from	IN
14725	793	7	this	this	DT
14725	793	8	the	the	DT
14725	793	9	obtuse	obtuse	JJ
14725	793	10	angle	angle	NN
14725	793	11	BCA	BCA	NNP
14725	793	12	,	,	,
14725	793	13	I	-PRON-	PRP
14725	793	14	imagined	imagine	VBD
14725	793	15	a	a	DT
14725	793	16	sphere	sphere	NN
14725	793	17	having	have	VBG
14725	793	18	its	-PRON-	PRP$
14725	793	19	centre	centre	NN
14725	793	20	at	at	IN
14725	793	21	C	C	NNP
14725	793	22	,	,	,
14725	793	23	and	and	CC
14725	793	24	on	on	IN
14725	793	25	its	-PRON-	PRP$
14725	793	26	surface	surface	NN
14725	793	27	a	a	DT
14725	793	28	spherical	spherical	JJ
14725	793	29	triangle	triangle	NN
14725	793	30	,	,	,
14725	793	31	formed	form	VBN
14725	793	32	by	by	IN
14725	793	33	the	the	DT
14725	793	34	intersection	intersection	NN
14725	793	35	of	of	IN
14725	793	36	three	three	CD
14725	793	37	planes	plane	NNS
14725	793	38	which	which	WDT
14725	793	39	enclose	enclose	VBP
14725	793	40	the	the	DT
14725	793	41	solid	solid	JJ
14725	793	42	angle	angle	NN
14725	793	43	C.	C.	NNP
14725	793	44	In	in	IN
14725	793	45	this	this	DT
14725	793	46	equilateral	equilateral	JJ
14725	793	47	triangle	triangle	NN
14725	793	48	,	,	,
14725	793	49	which	which	WDT
14725	793	50	is	be	VBZ
14725	793	51	ABF	ABF	NNP
14725	793	52	in	in	IN
14725	793	53	this	this	DT
14725	793	54	other	other	JJ
14725	793	55	figure	figure	NN
14725	793	56	,	,	,
14725	793	57	I	-PRON-	PRP
14725	793	58	see	see	VBP
14725	793	59	that	that	IN
14725	793	60	each	each	DT
14725	793	61	of	of	IN
14725	793	62	the	the	DT
14725	793	63	angles	angle	NNS
14725	793	64	should	should	MD
14725	793	65	be	be	VB
14725	793	66	105	105	CD
14725	793	67	degrees	degree	NNS
14725	793	68	,	,	,
14725	793	69	namely	namely	RB
14725	793	70	equal	equal	JJ
14725	793	71	to	to	IN
14725	793	72	the	the	DT
14725	793	73	angle	angle	NN
14725	793	74	OCN	OCN	NNP
14725	793	75	;	;	:
14725	793	76	and	and	CC
14725	793	77	that	that	IN
14725	793	78	each	each	DT
14725	793	79	of	of	IN
14725	793	80	the	the	DT
14725	793	81	sides	side	NNS
14725	793	82	should	should	MD
14725	793	83	be	be	VB
14725	793	84	of	of	IN
14725	793	85	as	as	RB
14725	793	86	many	many	JJ
14725	793	87	degrees	degree	NNS
14725	793	88	as	as	IN
14725	793	89	the	the	DT
14725	793	90	angle	angle	NN
14725	793	91	ACB	ACB	NNP
14725	793	92	,	,	,
14725	793	93	or	or	CC
14725	793	94	ACF	ACF	NNP
14725	793	95	,	,	,
14725	793	96	or	or	CC
14725	793	97	BCF	BCF	NNP
14725	793	98	.	.	.
14725	794	1	Having	have	VBG
14725	794	2	then	then	RB
14725	794	3	drawn	draw	VBN
14725	794	4	the	the	DT
14725	794	5	arc	arc	NN
14725	794	6	FQ	FQ	NNP
14725	794	7	perpendicular	perpendicular	NN
14725	794	8	to	to	IN
14725	794	9	the	the	DT
14725	794	10	side	side	NN
14725	794	11	AB	AB	NNP
14725	794	12	,	,	,
14725	794	13	which	which	WDT
14725	794	14	it	-PRON-	PRP
14725	794	15	divides	divide	VBZ
14725	794	16	equally	equally	RB
14725	794	17	at	at	IN
14725	794	18	Q	Q	NNP
14725	794	19	,	,	,
14725	794	20	the	the	DT
14725	794	21	triangle	triangle	NN
14725	794	22	FQA	FQA	NNP
14725	794	23	has	have	VBZ
14725	794	24	a	a	DT
14725	794	25	right	right	JJ
14725	794	26	angle	angle	NN
14725	794	27	at	at	IN
14725	794	28	Q	Q	NNP
14725	794	29	,	,	,
14725	794	30	the	the	DT
14725	794	31	angle	angle	NN
14725	794	32	A	a	DT
14725	794	33	105	105	CD
14725	794	34	degrees	degree	NNS
14725	794	35	,	,	,
14725	794	36	and	and	CC
14725	794	37	F	F	NNP
14725	794	38	half	half	NN
14725	794	39	as	as	RB
14725	794	40	much	much	JJ
14725	794	41	,	,	,
14725	794	42	namely	namely	RB
14725	794	43	52	52	CD
14725	794	44	degrees	degree	NNS
14725	794	45	30	30	CD
14725	794	46	minutes	minute	NNS
14725	794	47	;	;	:
14725	794	48	whence	whence	NN
14725	794	49	the	the	DT
14725	794	50	hypotenuse	hypotenuse	NN
14725	794	51	AF	AF	NNP
14725	794	52	is	be	VBZ
14725	794	53	found	find	VBN
14725	794	54	to	to	TO
14725	794	55	be	be	VB
14725	794	56	101	101	CD
14725	794	57	degrees	degree	NNS
14725	794	58	52	52	CD
14725	794	59	minutes	minute	NNS
14725	794	60	.	.	.
14725	795	1	And	and	CC
14725	795	2	this	this	DT
14725	795	3	arc	arc	NNP
14725	795	4	AF	AF	NNP
14725	795	5	is	be	VBZ
14725	795	6	the	the	DT
14725	795	7	measure	measure	NN
14725	795	8	of	of	IN
14725	795	9	the	the	DT
14725	795	10	angle	angle	NN
14725	795	11	ACF	ACF	NNP
14725	795	12	in	in	IN
14725	795	13	the	the	DT
14725	795	14	figure	figure	NN
14725	795	15	of	of	IN
14725	795	16	the	the	DT
14725	795	17	crystal	crystal	NN
14725	795	18	.	.	.
14725	796	1	[	[	-LRB-
14725	796	2	Illustration	illustration	NN
14725	796	3	]	]	-RRB-
14725	796	4	In	in	IN
14725	796	5	the	the	DT
14725	796	6	same	same	JJ
14725	796	7	figure	figure	NN
14725	796	8	,	,	,
14725	796	9	if	if	IN
14725	796	10	the	the	DT
14725	796	11	plane	plane	NN
14725	796	12	CGHF	CGHF	NNP
14725	796	13	cuts	cut	VBZ
14725	796	14	the	the	DT
14725	796	15	crystal	crystal	NN
14725	796	16	so	so	IN
14725	796	17	that	that	IN
14725	796	18	it	-PRON-	PRP
14725	796	19	divides	divide	VBZ
14725	796	20	the	the	DT
14725	796	21	obtuse	obtuse	NN
14725	796	22	angles	angle	NNS
14725	796	23	ACB	ACB	NNP
14725	796	24	,	,	,
14725	796	25	MHV	MHV	NNP
14725	796	26	,	,	,
14725	796	27	in	in	IN
14725	796	28	the	the	DT
14725	796	29	middle	middle	NN
14725	796	30	,	,	,
14725	796	31	it	-PRON-	PRP
14725	796	32	is	be	VBZ
14725	796	33	stated	state	VBN
14725	796	34	,	,	,
14725	796	35	in	in	IN
14725	796	36	Article	Article	NNP
14725	796	37	10	10	CD
14725	796	38	,	,	,
14725	796	39	that	that	IN
14725	796	40	the	the	DT
14725	796	41	angle	angle	NN
14725	796	42	CFH	CFH	NNP
14725	796	43	is	be	VBZ
14725	796	44	70	70	CD
14725	796	45	degrees	degree	NNS
14725	796	46	57	57	CD
14725	796	47	minutes	minute	NNS
14725	796	48	.	.	.
14725	797	1	This	this	DT
14725	797	2	again	again	RB
14725	797	3	is	be	VBZ
14725	797	4	easily	easily	RB
14725	797	5	shown	show	VBN
14725	797	6	in	in	IN
14725	797	7	the	the	DT
14725	797	8	same	same	JJ
14725	797	9	spherical	spherical	JJ
14725	797	10	triangle	triangle	NN
14725	797	11	ABF	ABF	NNP
14725	797	12	,	,	,
14725	797	13	in	in	IN
14725	797	14	which	which	WDT
14725	797	15	it	-PRON-	PRP
14725	797	16	appears	appear	VBZ
14725	797	17	that	that	IN
14725	797	18	the	the	DT
14725	797	19	arc	arc	NNP
14725	797	20	FQ	FQ	NNP
14725	797	21	is	be	VBZ
14725	797	22	as	as	RB
14725	797	23	many	many	JJ
14725	797	24	degrees	degree	NNS
14725	797	25	as	as	IN
14725	797	26	the	the	DT
14725	797	27	angle	angle	NN
14725	797	28	GCF	GCF	NNP
14725	797	29	in	in	IN
14725	797	30	the	the	DT
14725	797	31	crystal	crystal	NN
14725	797	32	,	,	,
14725	797	33	the	the	DT
14725	797	34	supplement	supplement	NN
14725	797	35	of	of	IN
14725	797	36	which	which	WDT
14725	797	37	is	be	VBZ
14725	797	38	the	the	DT
14725	797	39	angle	angle	NN
14725	797	40	CFH	cfh	NN
14725	797	41	.	.	.
14725	798	1	Now	now	RB
14725	798	2	the	the	DT
14725	798	3	arc	arc	NNP
14725	798	4	FQ	FQ	NNP
14725	798	5	is	be	VBZ
14725	798	6	found	find	VBN
14725	798	7	to	to	TO
14725	798	8	be	be	VB
14725	798	9	109	109	CD
14725	798	10	degrees	degree	NNS
14725	798	11	3	3	CD
14725	798	12	minutes	minute	NNS
14725	798	13	.	.	.
14725	799	1	Then	then	RB
14725	799	2	its	-PRON-	PRP$
14725	799	3	supplement	supplement	NN
14725	799	4	,	,	,
14725	799	5	70	70	CD
14725	799	6	degrees	degree	NNS
14725	799	7	57	57	CD
14725	799	8	minutes	minute	NNS
14725	799	9	,	,	,
14725	799	10	is	be	VBZ
14725	799	11	the	the	DT
14725	799	12	angle	angle	NN
14725	799	13	CFH	cfh	NN
14725	799	14	.	.	.
14725	800	1	It	-PRON-	PRP
14725	800	2	was	be	VBD
14725	800	3	stated	state	VBN
14725	800	4	,	,	,
14725	800	5	in	in	IN
14725	800	6	Article	Article	NNP
14725	800	7	26	26	CD
14725	800	8	,	,	,
14725	800	9	that	that	IN
14725	800	10	the	the	DT
14725	800	11	straight	straight	JJ
14725	800	12	line	line	NN
14725	800	13	CS	CS	NNP
14725	800	14	,	,	,
14725	800	15	which	which	WDT
14725	800	16	in	in	IN
14725	800	17	the	the	DT
14725	800	18	preceding	precede	VBG
14725	800	19	figure	figure	NN
14725	800	20	is	be	VBZ
14725	800	21	CH	CH	NNP
14725	800	22	,	,	,
14725	800	23	being	be	VBG
14725	800	24	the	the	DT
14725	800	25	axis	axi	NNS
14725	800	26	of	of	IN
14725	800	27	the	the	DT
14725	800	28	crystal	crystal	NN
14725	800	29	,	,	,
14725	800	30	that	that	DT
14725	800	31	is	be	VBZ
14725	800	32	to	to	TO
14725	800	33	say	say	VB
14725	800	34	being	be	VBG
14725	800	35	equally	equally	RB
14725	800	36	inclined	inclined	JJ
14725	800	37	to	to	IN
14725	800	38	the	the	DT
14725	800	39	three	three	CD
14725	800	40	sides	side	NNS
14725	800	41	CA	CA	NNP
14725	800	42	,	,	,
14725	800	43	CB	CB	NNP
14725	800	44	,	,	,
14725	800	45	CF	cf	NN
14725	800	46	,	,	,
14725	800	47	the	the	DT
14725	800	48	angle	angle	NN
14725	800	49	GCH	GCH	NNP
14725	800	50	is	be	VBZ
14725	800	51	45	45	CD
14725	800	52	degrees	degree	NNS
14725	800	53	20	20	CD
14725	800	54	minutes	minute	NNS
14725	800	55	.	.	.
14725	801	1	This	this	DT
14725	801	2	is	be	VBZ
14725	801	3	also	also	RB
14725	801	4	easily	easily	RB
14725	801	5	calculated	calculate	VBN
14725	801	6	by	by	IN
14725	801	7	the	the	DT
14725	801	8	same	same	JJ
14725	801	9	spherical	spherical	JJ
14725	801	10	triangle	triangle	NN
14725	801	11	.	.	.
14725	802	1	For	for	IN
14725	802	2	by	by	IN
14725	802	3	drawing	draw	VBG
14725	802	4	the	the	DT
14725	802	5	other	other	JJ
14725	802	6	arc	arc	NN
14725	802	7	AD	ad	NN
14725	802	8	which	which	WDT
14725	802	9	cuts	cut	VBZ
14725	802	10	BF	BF	NNP
14725	802	11	equally	equally	RB
14725	802	12	,	,	,
14725	802	13	and	and	CC
14725	802	14	intersects	intersect	VBZ
14725	802	15	FQ	FQ	NNP
14725	802	16	at	at	IN
14725	802	17	S	S	NNP
14725	802	18	,	,	,
14725	802	19	this	this	DT
14725	802	20	point	point	NN
14725	802	21	will	will	MD
14725	802	22	be	be	VB
14725	802	23	the	the	DT
14725	802	24	centre	centre	NN
14725	802	25	of	of	IN
14725	802	26	the	the	DT
14725	802	27	triangle	triangle	NN
14725	802	28	.	.	.
14725	803	1	And	and	CC
14725	803	2	it	-PRON-	PRP
14725	803	3	is	be	VBZ
14725	803	4	easy	easy	JJ
14725	803	5	to	to	TO
14725	803	6	see	see	VB
14725	803	7	that	that	IN
14725	803	8	the	the	DT
14725	803	9	arc	arc	NNP
14725	803	10	SQ	SQ	NNP
14725	803	11	is	be	VBZ
14725	803	12	the	the	DT
14725	803	13	measure	measure	NN
14725	803	14	of	of	IN
14725	803	15	the	the	DT
14725	803	16	angle	angle	NN
14725	803	17	GCH	GCH	NNP
14725	803	18	in	in	IN
14725	803	19	the	the	DT
14725	803	20	figure	figure	NN
14725	803	21	which	which	WDT
14725	803	22	represents	represent	VBZ
14725	803	23	the	the	DT
14725	803	24	crystal	crystal	NN
14725	803	25	.	.	.
14725	804	1	Now	now	RB
14725	804	2	in	in	IN
14725	804	3	the	the	DT
14725	804	4	triangle	triangle	NN
14725	804	5	QAS	QAS	NNP
14725	804	6	,	,	,
14725	804	7	which	which	WDT
14725	804	8	is	be	VBZ
14725	804	9	right	right	RB
14725	804	10	-	-	HYPH
14725	804	11	angled	angle	VBN
14725	804	12	,	,	,
14725	804	13	one	one	PRP
14725	804	14	knows	know	VBZ
14725	804	15	also	also	RB
14725	804	16	the	the	DT
14725	804	17	angle	angle	NN
14725	804	18	A	A	NNP
14725	804	19	,	,	,
14725	804	20	which	which	WDT
14725	804	21	is	be	VBZ
14725	804	22	52	52	CD
14725	804	23	degrees	degree	NNS
14725	804	24	30	30	CD
14725	804	25	minutes	minute	NNS
14725	804	26	,	,	,
14725	804	27	and	and	CC
14725	804	28	the	the	DT
14725	804	29	side	side	NN
14725	804	30	AQ	AQ	NNP
14725	804	31	50	50	CD
14725	804	32	degrees	degree	NNS
14725	804	33	56	56	CD
14725	804	34	minutes	minute	NNS
14725	804	35	;	;	:
14725	804	36	whence	whence	IN
14725	804	37	the	the	DT
14725	804	38	side	side	NN
14725	804	39	SQ	SQ	NNP
14725	804	40	is	be	VBZ
14725	804	41	found	find	VBN
14725	804	42	to	to	TO
14725	804	43	be	be	VB
14725	804	44	45	45	CD
14725	804	45	degrees	degree	NNS
14725	804	46	20	20	CD
14725	804	47	minutes	minute	NNS
14725	804	48	.	.	.
14725	805	1	In	in	IN
14725	805	2	Article	article	NN
14725	805	3	27	27	CD
14725	805	4	it	-PRON-	PRP
14725	805	5	was	be	VBD
14725	805	6	required	require	VBN
14725	805	7	to	to	TO
14725	805	8	show	show	VB
14725	805	9	that	that	IN
14725	805	10	PMS	PMS	NNP
14725	805	11	being	be	VBG
14725	805	12	an	an	DT
14725	805	13	ellipse	ellipse	NN
14725	805	14	the	the	DT
14725	805	15	centre	centre	NN
14725	805	16	of	of	IN
14725	805	17	which	which	WDT
14725	805	18	is	be	VBZ
14725	805	19	C	c	NN
14725	805	20	,	,	,
14725	805	21	and	and	CC
14725	805	22	which	which	WDT
14725	805	23	touches	touch	VBZ
14725	805	24	the	the	DT
14725	805	25	straight	straight	JJ
14725	805	26	line	line	NN
14725	805	27	MD	MD	NNP
14725	805	28	at	at	IN
14725	805	29	M	M	NNP
14725	805	30	so	so	IN
14725	805	31	that	that	IN
14725	805	32	the	the	DT
14725	805	33	angle	angle	NN
14725	805	34	MCL	MCL	NNP
14725	805	35	which	which	WDT
14725	805	36	CM	CM	NNP
14725	805	37	makes	make	VBZ
14725	805	38	with	with	IN
14725	805	39	CL	CL	NNP
14725	805	40	,	,	,
14725	805	41	perpendicular	perpendicular	JJ
14725	805	42	on	on	IN
14725	805	43	DM	DM	NNP
14725	805	44	,	,	,
14725	805	45	is	be	VBZ
14725	805	46	6	6	CD
14725	805	47	degrees	degree	NNS
14725	805	48	40	40	CD
14725	805	49	minutes	minute	NNS
14725	805	50	,	,	,
14725	805	51	and	and	CC
14725	805	52	its	-PRON-	PRP$
14725	805	53	semi	semi	JJ
14725	805	54	-	-	JJ
14725	805	55	minor	minor	JJ
14725	805	56	axis	axi	NNS
14725	805	57	CS	CS	NNP
14725	805	58	making	make	VBG
14725	805	59	with	with	IN
14725	805	60	CG	CG	NNP
14725	805	61	(	(	-LRB-
14725	805	62	which	which	WDT
14725	805	63	is	be	VBZ
14725	805	64	parallel	parallel	JJ
14725	805	65	to	to	IN
14725	805	66	MD	MD	NNP
14725	805	67	)	)	-RRB-
14725	805	68	an	an	DT
14725	805	69	angle	angle	NN
14725	805	70	GCS	gcs	NN
14725	805	71	of	of	IN
14725	805	72	45	45	CD
14725	805	73	degrees	degree	NNS
14725	805	74	20	20	CD
14725	805	75	minutes	minute	NNS
14725	805	76	,	,	,
14725	805	77	it	-PRON-	PRP
14725	805	78	was	be	VBD
14725	805	79	required	require	VBN
14725	805	80	to	to	TO
14725	805	81	show	show	VB
14725	805	82	,	,	,
14725	805	83	I	-PRON-	PRP
14725	805	84	say	say	VBP
14725	805	85	,	,	,
14725	805	86	that	that	IN
14725	805	87	,	,	,
14725	805	88	CM	CM	NNP
14725	805	89	being	be	VBG
14725	805	90	100,000	100,000	CD
14725	805	91	parts	part	NNS
14725	805	92	,	,	,
14725	805	93	PC	pc	VB
14725	805	94	the	the	DT
14725	805	95	semi	semi	JJ
14725	805	96	-	-	JJ
14725	805	97	major	major	JJ
14725	805	98	diameter	diameter	NN
14725	805	99	of	of	IN
14725	805	100	this	this	DT
14725	805	101	ellipse	ellipse	NN
14725	805	102	is	be	VBZ
14725	805	103	105,032	105,032	CD
14725	805	104	parts	part	NNS
14725	805	105	,	,	,
14725	805	106	and	and	CC
14725	805	107	CS	CS	NNP
14725	805	108	,	,	,
14725	805	109	the	the	DT
14725	805	110	semi	semi	JJ
14725	805	111	-	-	JJ
14725	805	112	minor	minor	JJ
14725	805	113	diameter	diameter	NN
14725	805	114	,	,	,
14725	805	115	93,410	93,410	CD
14725	805	116	.	.	.
14725	806	1	Let	let	VB
14725	806	2	CP	CP	NNP
14725	806	3	and	and	CC
14725	806	4	CS	CS	NNP
14725	806	5	be	be	VB
14725	806	6	prolonged	prolong	VBN
14725	806	7	and	and	CC
14725	806	8	meet	meet	VB
14725	806	9	the	the	DT
14725	806	10	tangent	tangent	NN
14725	806	11	DM	dm	NN
14725	806	12	at	at	IN
14725	806	13	D	d	NN
14725	806	14	and	and	CC
14725	806	15	Z	Z	NNP
14725	806	16	;	;	:
14725	806	17	and	and	CC
14725	806	18	from	from	IN
14725	806	19	the	the	DT
14725	806	20	point	point	NN
14725	806	21	of	of	IN
14725	806	22	contact	contact	NN
14725	806	23	M	m	NN
14725	806	24	let	let	VBD
14725	806	25	MN	MN	NNP
14725	806	26	and	and	CC
14725	806	27	MO	mo	NN
14725	806	28	be	be	VB
14725	806	29	drawn	draw	VBN
14725	806	30	as	as	IN
14725	806	31	perpendiculars	perpendicular	NNS
14725	806	32	to	to	IN
14725	806	33	CP	CP	NNP
14725	806	34	and	and	CC
14725	806	35	CS	CS	NNP
14725	806	36	.	.	.
14725	807	1	Now	now	RB
14725	807	2	because	because	IN
14725	807	3	the	the	DT
14725	807	4	angles	angle	NNS
14725	807	5	SCP	scp	NN
14725	807	6	,	,	,
14725	807	7	GCL	GCL	NNP
14725	807	8	,	,	,
14725	807	9	are	be	VBP
14725	807	10	right	right	JJ
14725	807	11	angles	angle	NNS
14725	807	12	,	,	,
14725	807	13	the	the	DT
14725	807	14	angle	angle	NN
14725	807	15	PCL	PCL	NNP
14725	807	16	will	will	MD
14725	807	17	be	be	VB
14725	807	18	equal	equal	JJ
14725	807	19	to	to	IN
14725	807	20	GCS	GCS	NNP
14725	807	21	which	which	WDT
14725	807	22	was	be	VBD
14725	807	23	45	45	CD
14725	807	24	degrees	degree	NNS
14725	807	25	20	20	CD
14725	807	26	minutes	minute	NNS
14725	807	27	.	.	.
14725	808	1	And	and	CC
14725	808	2	deducting	deduct	VBG
14725	808	3	the	the	DT
14725	808	4	angle	angle	NN
14725	808	5	LCM	LCM	NNP
14725	808	6	,	,	,
14725	808	7	which	which	WDT
14725	808	8	is	be	VBZ
14725	808	9	6	6	CD
14725	808	10	degrees	degree	NNS
14725	808	11	40	40	CD
14725	808	12	minutes	minute	NNS
14725	808	13	,	,	,
14725	808	14	from	from	IN
14725	808	15	LCP	LCP	NNP
14725	808	16	,	,	,
14725	808	17	which	which	WDT
14725	808	18	is	be	VBZ
14725	808	19	45	45	CD
14725	808	20	degrees	degree	NNS
14725	808	21	20	20	CD
14725	808	22	minutes	minute	NNS
14725	808	23	,	,	,
14725	808	24	there	there	EX
14725	808	25	remains	remain	VBZ
14725	808	26	MCP	MCP	NNP
14725	808	27	,	,	,
14725	808	28	38	38	CD
14725	808	29	degrees	degree	NNS
14725	808	30	40	40	CD
14725	808	31	minutes	minute	NNS
14725	808	32	.	.	.
14725	809	1	Considering	consider	VBG
14725	809	2	then	then	RB
14725	809	3	CM	CM	NNP
14725	809	4	as	as	IN
14725	809	5	a	a	DT
14725	809	6	radius	radius	NN
14725	809	7	of	of	IN
14725	809	8	100,000	100,000	CD
14725	809	9	parts	part	NNS
14725	809	10	,	,	,
14725	809	11	MN	MN	NNP
14725	809	12	,	,	,
14725	809	13	the	the	DT
14725	809	14	sine	sine	NN
14725	809	15	of	of	IN
14725	809	16	38	38	CD
14725	809	17	degrees	degree	NNS
14725	809	18	40	40	CD
14725	809	19	minutes	minute	NNS
14725	809	20	,	,	,
14725	809	21	will	will	MD
14725	809	22	be	be	VB
14725	809	23	62,479	62,479	CD
14725	809	24	.	.	.
14725	810	1	And	and	CC
14725	810	2	in	in	IN
14725	810	3	the	the	DT
14725	810	4	right	right	RB
14725	810	5	-	-	HYPH
14725	810	6	angled	angle	VBN
14725	810	7	triangle	triangle	NN
14725	810	8	MND	MND	NNP
14725	810	9	,	,	,
14725	810	10	MN	MN	NNP
14725	810	11	will	will	MD
14725	810	12	be	be	VB
14725	810	13	to	to	IN
14725	810	14	ND	ND	NNP
14725	810	15	as	as	IN
14725	810	16	the	the	DT
14725	810	17	radius	radius	NN
14725	810	18	of	of	IN
14725	810	19	the	the	DT
14725	810	20	Tables	Tables	NNPS
14725	810	21	is	be	VBZ
14725	810	22	to	to	IN
14725	810	23	the	the	DT
14725	810	24	tangent	tangent	NN
14725	810	25	of	of	IN
14725	810	26	45	45	CD
14725	810	27	degrees	degree	NNS
14725	810	28	20	20	CD
14725	810	29	minutes	minute	NNS
14725	810	30	(	(	-LRB-
14725	810	31	because	because	IN
14725	810	32	the	the	DT
14725	810	33	angle	angle	NN
14725	810	34	NMD	NMD	NNP
14725	810	35	is	be	VBZ
14725	810	36	equal	equal	JJ
14725	810	37	to	to	IN
14725	810	38	DCL	DCL	NNP
14725	810	39	,	,	,
14725	810	40	or	or	CC
14725	810	41	GCS	GCS	NNP
14725	810	42	)	)	-RRB-
14725	810	43	;	;	:
14725	810	44	that	that	DT
14725	810	45	is	be	VBZ
14725	810	46	to	to	TO
14725	810	47	say	say	VB
14725	810	48	as	as	IN
14725	810	49	100,000	100,000	CD
14725	810	50	to	to	IN
14725	810	51	101,170	101,170	CD
14725	810	52	:	:	:
14725	810	53	whence	whence	NN
14725	810	54	results	result	VBZ
14725	810	55	ND	ND	NNP
14725	810	56	63,210	63,210	CD
14725	810	57	.	.	.
14725	811	1	But	but	CC
14725	811	2	NC	NC	NNP
14725	811	3	is	be	VBZ
14725	811	4	78,079	78,079	CD
14725	811	5	of	of	IN
14725	811	6	the	the	DT
14725	811	7	same	same	JJ
14725	811	8	parts	part	NNS
14725	811	9	,	,	,
14725	811	10	CM	CM	NNP
14725	811	11	being	be	VBG
14725	811	12	100,000	100,000	CD
14725	811	13	,	,	,
14725	811	14	because	because	IN
14725	811	15	NC	NC	NNP
14725	811	16	is	be	VBZ
14725	811	17	the	the	DT
14725	811	18	sine	sine	NN
14725	811	19	of	of	IN
14725	811	20	the	the	DT
14725	811	21	complement	complement	NN
14725	811	22	of	of	IN
14725	811	23	the	the	DT
14725	811	24	angle	angle	NN
14725	811	25	MCP	MCP	NNP
14725	811	26	,	,	,
14725	811	27	which	which	WDT
14725	811	28	was	be	VBD
14725	811	29	38	38	CD
14725	811	30	degrees	degree	NNS
14725	811	31	40	40	CD
14725	811	32	minutes	minute	NNS
14725	811	33	.	.	.
14725	812	1	Then	then	RB
14725	812	2	the	the	DT
14725	812	3	whole	whole	JJ
14725	812	4	line	line	NN
14725	812	5	DC	DC	NNP
14725	812	6	is	be	VBZ
14725	812	7	141,289	141,289	CD
14725	812	8	;	;	:
14725	812	9	and	and	CC
14725	812	10	CP	CP	NNP
14725	812	11	,	,	,
14725	812	12	which	which	WDT
14725	812	13	is	be	VBZ
14725	812	14	a	a	DT
14725	812	15	mean	mean	NN
14725	812	16	proportional	proportional	JJ
14725	812	17	between	between	IN
14725	812	18	DC	DC	NNP
14725	812	19	and	and	CC
14725	812	20	CN	CN	NNP
14725	812	21	,	,	,
14725	812	22	since	since	IN
14725	812	23	MD	MD	NNP
14725	812	24	touches	touch	VBZ
14725	812	25	the	the	DT
14725	812	26	Ellipse	Ellipse	NNP
14725	812	27	,	,	,
14725	812	28	will	will	MD
14725	812	29	be	be	VB
14725	812	30	105,032	105,032	CD
14725	812	31	.	.	.
14725	813	1	[	[	-LRB-
14725	813	2	Illustration	illustration	NN
14725	813	3	]	]	-RRB-
14725	813	4	Similarly	similarly	RB
14725	813	5	,	,	,
14725	813	6	because	because	IN
14725	813	7	the	the	DT
14725	813	8	angle	angle	NN
14725	813	9	OMZ	OMZ	NNP
14725	813	10	is	be	VBZ
14725	813	11	equal	equal	JJ
14725	813	12	to	to	IN
14725	813	13	CDZ	CDZ	NNP
14725	813	14	,	,	,
14725	813	15	or	or	CC
14725	813	16	LCZ	LCZ	NNP
14725	813	17	,	,	,
14725	813	18	which	which	WDT
14725	813	19	is	be	VBZ
14725	813	20	44	44	CD
14725	813	21	degrees	degree	NNS
14725	813	22	40	40	CD
14725	813	23	minutes	minute	NNS
14725	813	24	,	,	,
14725	813	25	being	be	VBG
14725	813	26	the	the	DT
14725	813	27	complement	complement	NN
14725	813	28	of	of	IN
14725	813	29	GCS	GCS	NNP
14725	813	30	,	,	,
14725	813	31	it	-PRON-	PRP
14725	813	32	follows	follow	VBZ
14725	813	33	that	that	IN
14725	813	34	,	,	,
14725	813	35	as	as	IN
14725	813	36	the	the	DT
14725	813	37	radius	radius	NN
14725	813	38	of	of	IN
14725	813	39	the	the	DT
14725	813	40	Tables	Tables	NNPS
14725	813	41	is	be	VBZ
14725	813	42	to	to	IN
14725	813	43	the	the	DT
14725	813	44	tangent	tangent	NN
14725	813	45	of	of	IN
14725	813	46	44	44	CD
14725	813	47	degrees	degree	NNS
14725	813	48	40	40	CD
14725	813	49	minutes	minute	NNS
14725	813	50	,	,	,
14725	813	51	so	so	RB
14725	813	52	will	will	MD
14725	813	53	OM	om	$
14725	813	54	78,079	78,079	CD
14725	813	55	be	be	NN
14725	813	56	to	to	IN
14725	813	57	OZ	OZ	NNP
14725	813	58	77,176	77,176	CD
14725	813	59	.	.	.
14725	814	1	But	but	CC
14725	814	2	OC	OC	NNP
14725	814	3	is	be	VBZ
14725	814	4	62,479	62,479	CD
14725	814	5	of	of	IN
14725	814	6	these	these	DT
14725	814	7	same	same	JJ
14725	814	8	parts	part	NNS
14725	814	9	of	of	IN
14725	814	10	which	which	WDT
14725	814	11	CM	CM	NNP
14725	814	12	is	be	VBZ
14725	814	13	100,000	100,000	CD
14725	814	14	,	,	,
14725	814	15	because	because	IN
14725	814	16	it	-PRON-	PRP
14725	814	17	is	be	VBZ
14725	814	18	equal	equal	JJ
14725	814	19	to	to	IN
14725	814	20	MN	MN	NNP
14725	814	21	,	,	,
14725	814	22	the	the	DT
14725	814	23	sine	sine	NN
14725	814	24	of	of	IN
14725	814	25	the	the	DT
14725	814	26	angle	angle	NN
14725	814	27	MCP	MCP	NNP
14725	814	28	,	,	,
14725	814	29	which	which	WDT
14725	814	30	is	be	VBZ
14725	814	31	38	38	CD
14725	814	32	degrees	degree	NNS
14725	814	33	40	40	CD
14725	814	34	minutes	minute	NNS
14725	814	35	.	.	.
14725	815	1	Then	then	RB
14725	815	2	the	the	DT
14725	815	3	whole	whole	JJ
14725	815	4	line	line	NN
14725	815	5	CZ	CZ	NNP
14725	815	6	is	be	VBZ
14725	815	7	139,655	139,655	CD
14725	815	8	;	;	:
14725	815	9	and	and	CC
14725	815	10	CS	CS	NNP
14725	815	11	,	,	,
14725	815	12	which	which	WDT
14725	815	13	is	be	VBZ
14725	815	14	a	a	DT
14725	815	15	mean	mean	NN
14725	815	16	proportional	proportional	JJ
14725	815	17	between	between	IN
14725	815	18	CZ	CZ	NNP
14725	815	19	and	and	CC
14725	815	20	CO	CO	NNP
14725	815	21	will	will	MD
14725	815	22	be	be	VB
14725	815	23	93,410	93,410	CD
14725	815	24	.	.	.
14725	816	1	At	at	IN
14725	816	2	the	the	DT
14725	816	3	same	same	JJ
14725	816	4	place	place	NN
14725	816	5	it	-PRON-	PRP
14725	816	6	was	be	VBD
14725	816	7	stated	state	VBN
14725	816	8	that	that	IN
14725	816	9	GC	GC	NNP
14725	816	10	was	be	VBD
14725	816	11	found	find	VBN
14725	816	12	to	to	TO
14725	816	13	be	be	VB
14725	816	14	98,779	98,779	CD
14725	816	15	parts	part	NNS
14725	816	16	.	.	.
14725	817	1	To	to	TO
14725	817	2	prove	prove	VB
14725	817	3	this	this	DT
14725	817	4	,	,	,
14725	817	5	let	let	VB
14725	817	6	PE	PE	NNP
14725	817	7	be	be	VB
14725	817	8	drawn	draw	VBN
14725	817	9	in	in	IN
14725	817	10	the	the	DT
14725	817	11	same	same	JJ
14725	817	12	figure	figure	NN
14725	817	13	parallel	parallel	NN
14725	817	14	to	to	IN
14725	817	15	DM	DM	NNP
14725	817	16	,	,	,
14725	817	17	and	and	CC
14725	817	18	meeting	meeting	NN
14725	817	19	CM	CM	NNP
14725	817	20	at	at	IN
14725	817	21	E.	E.	NNP
14725	817	22	In	in	IN
14725	817	23	the	the	DT
14725	817	24	right	right	RB
14725	817	25	-	-	HYPH
14725	817	26	angled	angle	VBN
14725	817	27	triangle	triangle	NN
14725	817	28	CLD	cld	NN
14725	817	29	the	the	DT
14725	817	30	side	side	NN
14725	817	31	CL	CL	NNP
14725	817	32	is	be	VBZ
14725	817	33	99,324	99,324	CD
14725	817	34	(	(	-LRB-
14725	817	35	CM	CM	NNP
14725	817	36	being	be	VBG
14725	817	37	100,000	100,000	CD
14725	817	38	)	)	-RRB-
14725	817	39	,	,	,
14725	817	40	because	because	IN
14725	817	41	CL	CL	NNP
14725	817	42	is	be	VBZ
14725	817	43	the	the	DT
14725	817	44	sine	sine	NN
14725	817	45	of	of	IN
14725	817	46	the	the	DT
14725	817	47	complement	complement	NN
14725	817	48	of	of	IN
14725	817	49	the	the	DT
14725	817	50	angle	angle	NN
14725	817	51	LCM	LCM	NNP
14725	817	52	,	,	,
14725	817	53	which	which	WDT
14725	817	54	is	be	VBZ
14725	817	55	6	6	CD
14725	817	56	degrees	degree	NNS
14725	817	57	40	40	CD
14725	817	58	minutes	minute	NNS
14725	817	59	.	.	.
14725	818	1	And	and	CC
14725	818	2	since	since	IN
14725	818	3	the	the	DT
14725	818	4	angle	angle	NN
14725	818	5	LCD	lcd	NN
14725	818	6	is	be	VBZ
14725	818	7	45	45	CD
14725	818	8	degrees	degree	NNS
14725	818	9	20	20	CD
14725	818	10	minutes	minute	NNS
14725	818	11	,	,	,
14725	818	12	being	be	VBG
14725	818	13	equal	equal	JJ
14725	818	14	to	to	IN
14725	818	15	GCS	GCS	NNP
14725	818	16	,	,	,
14725	818	17	the	the	DT
14725	818	18	side	side	NN
14725	818	19	LD	LD	NNP
14725	818	20	is	be	VBZ
14725	818	21	found	find	VBN
14725	818	22	to	to	TO
14725	818	23	be	be	VB
14725	818	24	100,486	100,486	CD
14725	818	25	:	:	:
14725	818	26	whence	whence	NN
14725	818	27	deducting	deduct	VBG
14725	818	28	ML	ML	NNP
14725	818	29	11,609	11,609	CD
14725	818	30	there	there	EX
14725	818	31	will	will	MD
14725	818	32	remain	remain	VB
14725	818	33	MD	MD	NNP
14725	818	34	88,877	88,877	CD
14725	818	35	.	.	.
14725	819	1	Now	now	RB
14725	819	2	as	as	IN
14725	819	3	CD	CD	NNP
14725	819	4	(	(	-LRB-
14725	819	5	which	which	WDT
14725	819	6	was	be	VBD
14725	819	7	141,289	141,289	CD
14725	819	8	)	)	-RRB-
14725	819	9	is	be	VBZ
14725	819	10	to	to	TO
14725	819	11	DM	dm	VB
14725	819	12	88,877	88,877	CD
14725	819	13	,	,	,
14725	819	14	so	so	RB
14725	819	15	will	will	MD
14725	819	16	CP	CP	NNP
14725	819	17	105,032	105,032	CD
14725	819	18	be	be	VB
14725	819	19	to	to	IN
14725	819	20	PE	PE	NNP
14725	819	21	66,070	66,070	CD
14725	819	22	.	.	.
14725	820	1	But	but	CC
14725	820	2	as	as	IN
14725	820	3	the	the	DT
14725	820	4	rectangle	rectangle	NN
14725	820	5	MEH	MEH	NNP
14725	820	6	(	(	-LRB-
14725	820	7	or	or	CC
14725	820	8	rather	rather	RB
14725	820	9	the	the	DT
14725	820	10	difference	difference	NN
14725	820	11	of	of	IN
14725	820	12	the	the	DT
14725	820	13	squares	square	NNS
14725	820	14	on	on	IN
14725	820	15	CM	CM	NNP
14725	820	16	and	and	CC
14725	820	17	CE	CE	NNP
14725	820	18	)	)	-RRB-
14725	820	19	is	be	VBZ
14725	820	20	to	to	IN
14725	820	21	the	the	DT
14725	820	22	square	square	NN
14725	820	23	on	on	IN
14725	820	24	MC	MC	NNP
14725	820	25	,	,	,
14725	820	26	so	so	RB
14725	820	27	is	be	VBZ
14725	820	28	the	the	DT
14725	820	29	square	square	NN
14725	820	30	on	on	IN
14725	820	31	PE	PE	NNP
14725	820	32	to	to	IN
14725	820	33	the	the	DT
14725	820	34	square	square	NN
14725	820	35	on	on	IN
14725	820	36	C_g	c_g	CD
14725	820	37	_	_	NNP
14725	820	38	;	;	:
14725	820	39	then	then	RB
14725	820	40	also	also	RB
14725	820	41	as	as	IN
14725	820	42	the	the	DT
14725	820	43	difference	difference	NN
14725	820	44	of	of	IN
14725	820	45	the	the	DT
14725	820	46	squares	square	NNS
14725	820	47	on	on	IN
14725	820	48	DC	DC	NNP
14725	820	49	and	and	CC
14725	820	50	CP	CP	NNP
14725	820	51	to	to	IN
14725	820	52	the	the	DT
14725	820	53	square	square	NN
14725	820	54	on	on	IN
14725	820	55	CD	CD	NNP
14725	820	56	,	,	,
14725	820	57	so	so	RB
14725	820	58	also	also	RB
14725	820	59	is	be	VBZ
14725	820	60	the	the	DT
14725	820	61	square	square	NN
14725	820	62	on	on	IN
14725	820	63	PE	PE	NNP
14725	820	64	to	to	IN
14725	820	65	the	the	DT
14725	820	66	square	square	NN
14725	820	67	on	on	IN
14725	820	68	_	_	NNP
14725	820	69	g_C.	g_C.	.
14725	821	1	But	but	CC
14725	821	2	DP	DP	NNP
14725	821	3	,	,	,
14725	821	4	CP	CP	NNP
14725	821	5	,	,	,
14725	821	6	and	and	CC
14725	821	7	PE	PE	NNP
14725	821	8	are	be	VBP
14725	821	9	known	know	VBN
14725	821	10	;	;	:
14725	821	11	hence	hence	RB
14725	821	12	also	also	RB
14725	821	13	one	one	PRP
14725	821	14	knows	know	VBZ
14725	821	15	GC	GC	NNP
14725	821	16	,	,	,
14725	821	17	which	which	WDT
14725	821	18	is	be	VBZ
14725	821	19	98,779	98,779	CD
14725	821	20	.	.	.
14725	822	1	_	_	NNP
14725	822	2	Lemma	Lemma	NNP
14725	822	3	which	which	WDT
14725	822	4	has	have	VBZ
14725	822	5	been	be	VBN
14725	822	6	supposed	suppose	VBN
14725	822	7	_	_	NNP
14725	822	8	.	.	.
14725	823	1	If	if	IN
14725	823	2	a	a	DT
14725	823	3	spheroid	spheroid	NN
14725	823	4	is	be	VBZ
14725	823	5	touched	touch	VBN
14725	823	6	by	by	IN
14725	823	7	a	a	DT
14725	823	8	straight	straight	JJ
14725	823	9	line	line	NN
14725	823	10	,	,	,
14725	823	11	and	and	CC
14725	823	12	also	also	RB
14725	823	13	by	by	IN
14725	823	14	two	two	CD
14725	823	15	or	or	CC
14725	823	16	more	more	JJR
14725	823	17	planes	plane	NNS
14725	823	18	which	which	WDT
14725	823	19	are	be	VBP
14725	823	20	parallel	parallel	JJ
14725	823	21	to	to	IN
14725	823	22	this	this	DT
14725	823	23	line	line	NN
14725	823	24	,	,	,
14725	823	25	though	though	IN
14725	823	26	not	not	RB
14725	823	27	parallel	parallel	JJ
14725	823	28	to	to	IN
14725	823	29	one	one	CD
14725	823	30	another	another	DT
14725	823	31	,	,	,
14725	823	32	all	all	PDT
14725	823	33	the	the	DT
14725	823	34	points	point	NNS
14725	823	35	of	of	IN
14725	823	36	contact	contact	NN
14725	823	37	of	of	IN
14725	823	38	the	the	DT
14725	823	39	line	line	NN
14725	823	40	,	,	,
14725	823	41	as	as	RB
14725	823	42	well	well	RB
14725	823	43	as	as	IN
14725	823	44	of	of	IN
14725	823	45	the	the	DT
14725	823	46	planes	plane	NNS
14725	823	47	,	,	,
14725	823	48	will	will	MD
14725	823	49	be	be	VB
14725	823	50	in	in	IN
14725	823	51	one	one	CD
14725	823	52	and	and	CC
14725	823	53	the	the	DT
14725	823	54	same	same	JJ
14725	823	55	ellipse	ellipse	NN
14725	823	56	made	make	VBN
14725	823	57	by	by	IN
14725	823	58	a	a	DT
14725	823	59	plane	plane	NN
14725	823	60	which	which	WDT
14725	823	61	passes	pass	VBZ
14725	823	62	through	through	IN
14725	823	63	the	the	DT
14725	823	64	centre	centre	NN
14725	823	65	of	of	IN
14725	823	66	the	the	DT
14725	823	67	spheroid	spheroid	NN
14725	823	68	.	.	.
14725	824	1	Let	let	VB
14725	824	2	LED	LED	NNP
14725	824	3	be	be	VB
14725	824	4	the	the	DT
14725	824	5	spheroid	spheroid	NN
14725	824	6	touched	touch	VBN
14725	824	7	by	by	IN
14725	824	8	the	the	DT
14725	824	9	line	line	NN
14725	824	10	BM	BM	NNP
14725	824	11	at	at	IN
14725	824	12	the	the	DT
14725	824	13	point	point	NN
14725	824	14	B	b	NN
14725	824	15	,	,	,
14725	824	16	and	and	CC
14725	824	17	also	also	RB
14725	824	18	by	by	IN
14725	824	19	the	the	DT
14725	824	20	planes	plane	NNS
14725	824	21	parallel	parallel	JJ
14725	824	22	to	to	IN
14725	824	23	this	this	DT
14725	824	24	line	line	NN
14725	824	25	at	at	IN
14725	824	26	the	the	DT
14725	824	27	points	point	NNS
14725	824	28	O	O	NNP
14725	824	29	and	and	CC
14725	824	30	A.	a.	NN
14725	825	1	It	-PRON-	PRP
14725	825	2	is	be	VBZ
14725	825	3	required	require	VBN
14725	825	4	to	to	TO
14725	825	5	demonstrate	demonstrate	VB
14725	825	6	that	that	IN
14725	825	7	the	the	DT
14725	825	8	points	point	NNS
14725	825	9	B	B	NNP
14725	825	10	,	,	,
14725	825	11	O	o	UH
14725	825	12	,	,	,
14725	825	13	and	and	CC
14725	825	14	A	a	DT
14725	825	15	are	be	VBP
14725	825	16	in	in	IN
14725	825	17	one	one	CD
14725	825	18	and	and	CC
14725	825	19	the	the	DT
14725	825	20	same	same	JJ
14725	825	21	Ellipse	Ellipse	NNP
14725	825	22	made	make	VBN
14725	825	23	in	in	IN
14725	825	24	the	the	DT
14725	825	25	spheroid	spheroid	NN
14725	825	26	by	by	IN
14725	825	27	a	a	DT
14725	825	28	plane	plane	NN
14725	825	29	which	which	WDT
14725	825	30	passes	pass	VBZ
14725	825	31	through	through	IN
14725	825	32	its	-PRON-	PRP$
14725	825	33	centre	centre	NN
14725	825	34	.	.	.
14725	826	1	[	[	-LRB-
14725	826	2	Illustration	illustration	NN
14725	826	3	]	]	-RRB-
14725	826	4	Through	through	IN
14725	826	5	the	the	DT
14725	826	6	line	line	NN
14725	826	7	BM	BM	NNP
14725	826	8	,	,	,
14725	826	9	and	and	CC
14725	826	10	through	through	IN
14725	826	11	the	the	DT
14725	826	12	points	point	NNS
14725	826	13	O	O	NNP
14725	826	14	and	and	CC
14725	826	15	A	A	NNP
14725	826	16	,	,	,
14725	826	17	let	let	VB
14725	826	18	there	there	EX
14725	826	19	be	be	VB
14725	826	20	drawn	draw	VBN
14725	826	21	planes	plane	NNS
14725	826	22	parallel	parallel	JJ
14725	826	23	to	to	IN
14725	826	24	one	one	CD
14725	826	25	another	another	DT
14725	826	26	,	,	,
14725	826	27	which	which	WDT
14725	826	28	,	,	,
14725	826	29	in	in	IN
14725	826	30	cutting	cut	VBG
14725	826	31	the	the	DT
14725	826	32	spheroid	spheroid	NN
14725	826	33	make	make	VBP
14725	826	34	the	the	DT
14725	826	35	ellipses	ellipsis	NNS
14725	826	36	LBD	LBD	NNP
14725	826	37	,	,	,
14725	826	38	POP	POP	NNP
14725	826	39	,	,	,
14725	826	40	QAQ	QAQ	NNP
14725	826	41	;	;	:
14725	826	42	which	which	WDT
14725	826	43	will	will	MD
14725	826	44	all	all	DT
14725	826	45	be	be	VB
14725	826	46	similar	similar	JJ
14725	826	47	and	and	CC
14725	826	48	similarly	similarly	RB
14725	826	49	disposed	dispose	VBN
14725	826	50	,	,	,
14725	826	51	and	and	CC
14725	826	52	will	will	MD
14725	826	53	have	have	VB
14725	826	54	their	-PRON-	PRP$
14725	826	55	centres	centre	NNS
14725	826	56	K	K	NNP
14725	826	57	,	,	,
14725	826	58	N	n	NN
14725	826	59	,	,	,
14725	826	60	R	r	NN
14725	826	61	,	,	,
14725	826	62	in	in	IN
14725	826	63	one	one	CD
14725	826	64	and	and	CC
14725	826	65	the	the	DT
14725	826	66	same	same	JJ
14725	826	67	diameter	diameter	NN
14725	826	68	of	of	IN
14725	826	69	the	the	DT
14725	826	70	spheroid	spheroid	NN
14725	826	71	,	,	,
14725	826	72	which	which	WDT
14725	826	73	will	will	MD
14725	826	74	also	also	RB
14725	826	75	be	be	VB
14725	826	76	the	the	DT
14725	826	77	diameter	diameter	NN
14725	826	78	of	of	IN
14725	826	79	the	the	DT
14725	826	80	ellipse	ellipse	NN
14725	826	81	made	make	VBN
14725	826	82	by	by	IN
14725	826	83	the	the	DT
14725	826	84	section	section	NN
14725	826	85	of	of	IN
14725	826	86	the	the	DT
14725	826	87	plane	plane	NN
14725	826	88	that	that	WDT
14725	826	89	passes	pass	VBZ
14725	826	90	through	through	IN
14725	826	91	the	the	DT
14725	826	92	centre	centre	NN
14725	826	93	of	of	IN
14725	826	94	the	the	DT
14725	826	95	spheroid	spheroid	NN
14725	826	96	,	,	,
14725	826	97	and	and	CC
14725	826	98	which	which	WDT
14725	826	99	cuts	cut	VBZ
14725	826	100	the	the	DT
14725	826	101	planes	plane	NNS
14725	826	102	of	of	IN
14725	826	103	the	the	DT
14725	826	104	three	three	CD
14725	826	105	said	say	VBD
14725	826	106	Ellipses	ellipsis	NNS
14725	826	107	at	at	IN
14725	826	108	right	right	JJ
14725	826	109	angles	angle	NNS
14725	826	110	:	:	:
14725	826	111	for	for	IN
14725	826	112	all	all	PDT
14725	826	113	this	this	DT
14725	826	114	is	be	VBZ
14725	826	115	manifest	manif	JJS
14725	826	116	by	by	IN
14725	826	117	proposition	proposition	NN
14725	826	118	15	15	CD
14725	826	119	of	of	IN
14725	826	120	the	the	DT
14725	826	121	book	book	NN
14725	826	122	of	of	IN
14725	826	123	Conoids	Conoids	NNP
14725	826	124	and	and	CC
14725	826	125	Spheroids	Spheroids	NNPS
14725	826	126	of	of	IN
14725	826	127	Archimedes	Archimedes	NNP
14725	826	128	.	.	.
14725	827	1	Further	further	RB
14725	827	2	,	,	,
14725	827	3	the	the	DT
14725	827	4	two	two	CD
14725	827	5	latter	latter	JJ
14725	827	6	planes	plane	NNS
14725	827	7	,	,	,
14725	827	8	which	which	WDT
14725	827	9	are	be	VBP
14725	827	10	drawn	draw	VBN
14725	827	11	through	through	IN
14725	827	12	the	the	DT
14725	827	13	points	point	NNS
14725	827	14	O	O	NNP
14725	827	15	and	and	CC
14725	827	16	A	A	NNP
14725	827	17	,	,	,
14725	827	18	will	will	MD
14725	827	19	also	also	RB
14725	827	20	,	,	,
14725	827	21	by	by	IN
14725	827	22	cutting	cut	VBG
14725	827	23	the	the	DT
14725	827	24	planes	plane	NNS
14725	827	25	which	which	WDT
14725	827	26	touch	touch	VBP
14725	827	27	the	the	DT
14725	827	28	spheroid	spheroid	NN
14725	827	29	in	in	IN
14725	827	30	these	these	DT
14725	827	31	same	same	JJ
14725	827	32	points	point	NNS
14725	827	33	,	,	,
14725	827	34	generate	generate	VBP
14725	827	35	straight	straight	JJ
14725	827	36	lines	line	NNS
14725	827	37	,	,	,
14725	827	38	as	as	IN
14725	827	39	OH	OH	NNP
14725	827	40	and	and	CC
14725	827	41	AS	AS	NNP
14725	827	42	,	,	,
14725	827	43	which	which	WDT
14725	827	44	will	will	MD
14725	827	45	,	,	,
14725	827	46	as	as	IN
14725	827	47	is	be	VBZ
14725	827	48	easy	easy	JJ
14725	827	49	to	to	TO
14725	827	50	see	see	VB
14725	827	51	,	,	,
14725	827	52	be	be	VB
14725	827	53	parallel	parallel	JJ
14725	827	54	to	to	IN
14725	827	55	BM	BM	NNP
14725	827	56	;	;	:
14725	827	57	and	and	CC
14725	827	58	all	all	DT
14725	827	59	three	three	CD
14725	827	60	,	,	,
14725	827	61	BM	BM	NNP
14725	827	62	,	,	,
14725	827	63	OH	oh	UH
14725	827	64	,	,	,
14725	827	65	AS	AS	NNP
14725	827	66	,	,	,
14725	827	67	will	will	MD
14725	827	68	touch	touch	VB
14725	827	69	the	the	DT
14725	827	70	Ellipses	Ellipses	NNP
14725	827	71	LBD	LBD	NNP
14725	827	72	,	,	,
14725	827	73	POP	POP	NNP
14725	827	74	,	,	,
14725	827	75	QAQ	QAQ	NNP
14725	827	76	in	in	IN
14725	827	77	these	these	DT
14725	827	78	points	point	NNS
14725	827	79	,	,	,
14725	827	80	B	b	NN
14725	827	81	,	,	,
14725	827	82	O	o	UH
14725	827	83	,	,	,
14725	827	84	A	a	NN
14725	827	85	;	;	:
14725	827	86	since	since	IN
14725	827	87	they	-PRON-	PRP
14725	827	88	are	be	VBP
14725	827	89	in	in	IN
14725	827	90	the	the	DT
14725	827	91	planes	plane	NNS
14725	827	92	of	of	IN
14725	827	93	these	these	DT
14725	827	94	ellipses	ellipsis	NNS
14725	827	95	,	,	,
14725	827	96	and	and	CC
14725	827	97	at	at	IN
14725	827	98	the	the	DT
14725	827	99	same	same	JJ
14725	827	100	time	time	NN
14725	827	101	in	in	IN
14725	827	102	the	the	DT
14725	827	103	planes	plane	NNS
14725	827	104	which	which	WDT
14725	827	105	touch	touch	VBP
14725	827	106	the	the	DT
14725	827	107	spheroid	spheroid	NN
14725	827	108	.	.	.
14725	828	1	If	if	IN
14725	828	2	now	now	RB
14725	828	3	from	from	IN
14725	828	4	these	these	DT
14725	828	5	points	point	NNS
14725	828	6	B	B	NNP
14725	828	7	,	,	,
14725	828	8	O	o	UH
14725	828	9	,	,	,
14725	828	10	A	a	NN
14725	828	11	,	,	,
14725	828	12	there	there	EX
14725	828	13	are	be	VBP
14725	828	14	drawn	draw	VBN
14725	828	15	the	the	DT
14725	828	16	straight	straight	JJ
14725	828	17	lines	line	NNS
14725	828	18	BK	BK	NNP
14725	828	19	,	,	,
14725	828	20	ON	ON	NNP
14725	828	21	,	,	,
14725	828	22	AR	AR	NNP
14725	828	23	,	,	,
14725	828	24	through	through	IN
14725	828	25	the	the	DT
14725	828	26	centres	centre	NNS
14725	828	27	of	of	IN
14725	828	28	the	the	DT
14725	828	29	same	same	JJ
14725	828	30	ellipses	ellipsis	NNS
14725	828	31	,	,	,
14725	828	32	and	and	CC
14725	828	33	if	if	IN
14725	828	34	through	through	IN
14725	828	35	these	these	DT
14725	828	36	centres	centre	NNS
14725	828	37	there	there	EX
14725	828	38	are	be	VBP
14725	828	39	drawn	draw	VBN
14725	828	40	also	also	RB
14725	828	41	the	the	DT
14725	828	42	diameters	diameter	NNS
14725	828	43	LD	LD	NNP
14725	828	44	,	,	,
14725	828	45	PP	PP	NNP
14725	828	46	,	,	,
14725	828	47	QQ	QQ	NNP
14725	828	48	,	,	,
14725	828	49	parallel	parallel	NN
14725	828	50	to	to	IN
14725	828	51	the	the	DT
14725	828	52	tangents	tangent	NNS
14725	828	53	BM	BM	NNP
14725	828	54	,	,	,
14725	828	55	OH	OH	NNP
14725	828	56	,	,	,
14725	828	57	AS	as	IN
14725	828	58	;	;	:
14725	828	59	these	these	DT
14725	828	60	will	will	MD
14725	828	61	be	be	VB
14725	828	62	conjugate	conjugate	JJ
14725	828	63	to	to	IN
14725	828	64	the	the	DT
14725	828	65	aforesaid	aforesaid	JJ
14725	828	66	BK	BK	NNP
14725	828	67	,	,	,
14725	828	68	ON	ON	NNP
14725	828	69	,	,	,
14725	828	70	AR	AR	NNP
14725	828	71	.	.	.
14725	829	1	And	and	CC
14725	829	2	because	because	IN
14725	829	3	the	the	DT
14725	829	4	three	three	CD
14725	829	5	ellipses	ellipsis	NNS
14725	829	6	are	be	VBP
14725	829	7	similar	similar	JJ
14725	829	8	and	and	CC
14725	829	9	similarly	similarly	RB
14725	829	10	disposed	disposed	JJ
14725	829	11	,	,	,
14725	829	12	and	and	CC
14725	829	13	have	have	VBP
14725	829	14	their	-PRON-	PRP$
14725	829	15	diameters	diameter	NNS
14725	829	16	LD	LD	NNP
14725	829	17	,	,	,
14725	829	18	PP	PP	NNP
14725	829	19	,	,	,
14725	829	20	QQ	QQ	NNP
14725	829	21	parallel	parallel	NN
14725	829	22	,	,	,
14725	829	23	it	-PRON-	PRP
14725	829	24	is	be	VBZ
14725	829	25	certain	certain	JJ
14725	829	26	that	that	IN
14725	829	27	their	-PRON-	PRP$
14725	829	28	conjugate	conjugate	JJ
14725	829	29	diameters	diameter	NNS
14725	829	30	BK	BK	NNP
14725	829	31	,	,	,
14725	829	32	ON	ON	NNP
14725	829	33	,	,	,
14725	829	34	AR	AR	NNP
14725	829	35	,	,	,
14725	829	36	will	will	MD
14725	829	37	also	also	RB
14725	829	38	be	be	VB
14725	829	39	parallel	parallel	JJ
14725	829	40	.	.	.
14725	830	1	And	and	CC
14725	830	2	the	the	DT
14725	830	3	centres	centre	NNS
14725	830	4	K	K	NNP
14725	830	5	,	,	,
14725	830	6	N	n	NN
14725	830	7	,	,	,
14725	830	8	R	r	NN
14725	830	9	being	be	VBG
14725	830	10	,	,	,
14725	830	11	as	as	IN
14725	830	12	has	have	VBZ
14725	830	13	been	be	VBN
14725	830	14	stated	state	VBN
14725	830	15	,	,	,
14725	830	16	in	in	IN
14725	830	17	one	one	CD
14725	830	18	and	and	CC
14725	830	19	the	the	DT
14725	830	20	same	same	JJ
14725	830	21	diameter	diameter	NN
14725	830	22	of	of	IN
14725	830	23	the	the	DT
14725	830	24	spheroid	spheroid	NN
14725	830	25	,	,	,
14725	830	26	these	these	DT
14725	830	27	parallels	parallel	NNS
14725	830	28	BK	BK	NNP
14725	830	29	,	,	,
14725	830	30	ON	ON	NNP
14725	830	31	,	,	,
14725	830	32	AR	AR	NNP
14725	830	33	will	will	MD
14725	830	34	necessarily	necessarily	RB
14725	830	35	be	be	VB
14725	830	36	in	in	IN
14725	830	37	one	one	CD
14725	830	38	and	and	CC
14725	830	39	the	the	DT
14725	830	40	same	same	JJ
14725	830	41	plane	plane	NN
14725	830	42	,	,	,
14725	830	43	which	which	WDT
14725	830	44	passes	pass	VBZ
14725	830	45	through	through	IN
14725	830	46	this	this	DT
14725	830	47	diameter	diameter	NN
14725	830	48	of	of	IN
14725	830	49	the	the	DT
14725	830	50	spheroid	spheroid	NN
14725	830	51	,	,	,
14725	830	52	and	and	CC
14725	830	53	,	,	,
14725	830	54	in	in	IN
14725	830	55	consequence	consequence	NNP
14725	830	56	,	,	,
14725	830	57	the	the	DT
14725	830	58	points	point	NNS
14725	830	59	R	R	NNP
14725	830	60	,	,	,
14725	830	61	O	o	UH
14725	830	62	,	,	,
14725	830	63	A	a	DT
14725	830	64	are	be	VBP
14725	830	65	in	in	IN
14725	830	66	one	one	CD
14725	830	67	and	and	CC
14725	830	68	the	the	DT
14725	830	69	same	same	JJ
14725	830	70	ellipse	ellipse	NN
14725	830	71	made	make	VBN
14725	830	72	by	by	IN
14725	830	73	the	the	DT
14725	830	74	intersection	intersection	NN
14725	830	75	of	of	IN
14725	830	76	this	this	DT
14725	830	77	plane	plane	NN
14725	830	78	.	.	.
14725	831	1	Which	which	WDT
14725	831	2	was	be	VBD
14725	831	3	to	to	TO
14725	831	4	be	be	VB
14725	831	5	proved	prove	VBN
14725	831	6	.	.	.
14725	832	1	And	and	CC
14725	832	2	it	-PRON-	PRP
14725	832	3	is	be	VBZ
14725	832	4	manifest	manifest	JJ
14725	832	5	that	that	IN
14725	832	6	the	the	DT
14725	832	7	demonstration	demonstration	NN
14725	832	8	would	would	MD
14725	832	9	be	be	VB
14725	832	10	the	the	DT
14725	832	11	same	same	JJ
14725	832	12	if	if	IN
14725	832	13	,	,	,
14725	832	14	besides	besides	IN
14725	832	15	the	the	DT
14725	832	16	points	point	NNS
14725	832	17	O	O	NNP
14725	832	18	,	,	,
14725	832	19	A	a	NN
14725	832	20	,	,	,
14725	832	21	there	there	EX
14725	832	22	had	have	VBD
14725	832	23	been	be	VBN
14725	832	24	others	other	NNS
14725	832	25	in	in	IN
14725	832	26	which	which	WDT
14725	832	27	the	the	DT
14725	832	28	spheroid	spheroid	NN
14725	832	29	had	have	VBD
14725	832	30	been	be	VBN
14725	832	31	touched	touch	VBN
14725	832	32	by	by	IN
14725	832	33	planes	plane	NNS
14725	832	34	parallel	parallel	JJ
14725	832	35	to	to	IN
14725	832	36	the	the	DT
14725	832	37	straight	straight	JJ
14725	832	38	line	line	NN
14725	832	39	BM	BM	NNP
14725	832	40	.	.	.
14725	833	1	CHAPTER	CHAPTER	NNP
14725	833	2	VI	VI	NNP
14725	833	3	ON	on	IN
14725	833	4	THE	the	DT
14725	833	5	FIGURES	figures	NN
14725	833	6	OF	of	IN
14725	833	7	THE	the	DT
14725	833	8	TRANSPARENT	transparent	JJ
14725	833	9	BODIES	body	NNS
14725	833	10	Which	which	WDT
14725	833	11	serve	serve	VBP
14725	833	12	for	for	IN
14725	833	13	Refraction	refraction	NN
14725	833	14	and	and	CC
14725	833	15	for	for	IN
14725	833	16	Reflexion	reflexion	NN
14725	833	17	After	after	IN
14725	833	18	having	have	VBG
14725	833	19	explained	explain	VBN
14725	833	20	how	how	WRB
14725	833	21	the	the	DT
14725	833	22	properties	property	NNS
14725	833	23	of	of	IN
14725	833	24	reflexion	reflexion	NN
14725	833	25	and	and	CC
14725	833	26	refraction	refraction	NN
14725	833	27	follow	follow	VBP
14725	833	28	from	from	IN
14725	833	29	what	what	WP
14725	833	30	we	-PRON-	PRP
14725	833	31	have	have	VBP
14725	833	32	supposed	suppose	VBN
14725	833	33	concerning	concern	VBG
14725	833	34	the	the	DT
14725	833	35	nature	nature	NN
14725	833	36	of	of	IN
14725	833	37	light	light	NN
14725	833	38	,	,	,
14725	833	39	and	and	CC
14725	833	40	of	of	IN
14725	833	41	opaque	opaque	JJ
14725	833	42	bodies	body	NNS
14725	833	43	,	,	,
14725	833	44	and	and	CC
14725	833	45	of	of	IN
14725	833	46	transparent	transparent	JJ
14725	833	47	media	medium	NNS
14725	833	48	,	,	,
14725	833	49	I	-PRON-	PRP
14725	833	50	will	will	MD
14725	833	51	here	here	RB
14725	833	52	set	set	VB
14725	833	53	forth	forth	RP
14725	833	54	a	a	DT
14725	833	55	very	very	RB
14725	833	56	easy	easy	JJ
14725	833	57	and	and	CC
14725	833	58	natural	natural	JJ
14725	833	59	way	way	NN
14725	833	60	of	of	IN
14725	833	61	deducing	deducing	NN
14725	833	62	,	,	,
14725	833	63	from	from	IN
14725	833	64	the	the	DT
14725	833	65	same	same	JJ
14725	833	66	principles	principle	NNS
14725	833	67	,	,	,
14725	833	68	the	the	DT
14725	833	69	true	true	JJ
14725	833	70	figures	figure	NNS
14725	833	71	which	which	WDT
14725	833	72	serve	serve	VBP
14725	833	73	,	,	,
14725	833	74	either	either	CC
14725	833	75	by	by	IN
14725	833	76	reflexion	reflexion	NN
14725	833	77	or	or	CC
14725	833	78	by	by	IN
14725	833	79	refraction	refraction	NN
14725	833	80	,	,	,
14725	833	81	to	to	TO
14725	833	82	collect	collect	VB
14725	833	83	or	or	CC
14725	833	84	disperse	disperse	VB
14725	833	85	the	the	DT
14725	833	86	rays	ray	NNS
14725	833	87	of	of	IN
14725	833	88	light	light	NN
14725	833	89	,	,	,
14725	833	90	as	as	IN
14725	833	91	may	may	MD
14725	833	92	be	be	VB
14725	833	93	desired	desire	VBN
14725	833	94	.	.	.
14725	834	1	For	for	IN
14725	834	2	though	though	IN
14725	834	3	I	-PRON-	PRP
14725	834	4	do	do	VBP
14725	834	5	not	not	RB
14725	834	6	see	see	VB
14725	834	7	yet	yet	RB
14725	834	8	that	that	IN
14725	834	9	there	there	EX
14725	834	10	are	be	VBP
14725	834	11	means	mean	NNS
14725	834	12	of	of	IN
14725	834	13	making	make	VBG
14725	834	14	use	use	NN
14725	834	15	of	of	IN
14725	834	16	these	these	DT
14725	834	17	figures	figure	NNS
14725	834	18	,	,	,
14725	834	19	so	so	RB
14725	834	20	far	far	RB
14725	834	21	as	as	IN
14725	834	22	relates	relate	VBZ
14725	834	23	to	to	IN
14725	834	24	Refraction	refraction	NN
14725	834	25	,	,	,
14725	834	26	not	not	RB
14725	834	27	only	only	RB
14725	834	28	because	because	IN
14725	834	29	of	of	IN
14725	834	30	the	the	DT
14725	834	31	difficulty	difficulty	NN
14725	834	32	of	of	IN
14725	834	33	shaping	shape	VBG
14725	834	34	the	the	DT
14725	834	35	glasses	glass	NNS
14725	834	36	of	of	IN
14725	834	37	Telescopes	Telescopes	NNPS
14725	834	38	with	with	IN
14725	834	39	the	the	DT
14725	834	40	requisite	requisite	JJ
14725	834	41	exactitude	exactitude	NN
14725	834	42	according	accord	VBG
14725	834	43	to	to	IN
14725	834	44	these	these	DT
14725	834	45	figures	figure	NNS
14725	834	46	,	,	,
14725	834	47	but	but	CC
14725	834	48	also	also	RB
14725	834	49	because	because	IN
14725	834	50	there	there	EX
14725	834	51	exists	exist	VBZ
14725	834	52	in	in	IN
14725	834	53	refraction	refraction	NN
14725	834	54	itself	-PRON-	PRP
14725	834	55	a	a	DT
14725	834	56	property	property	NN
14725	834	57	which	which	WDT
14725	834	58	hinders	hinder	VBZ
14725	834	59	the	the	DT
14725	834	60	perfect	perfect	JJ
14725	834	61	concurrence	concurrence	NN
14725	834	62	of	of	IN
14725	834	63	the	the	DT
14725	834	64	rays	ray	NNS
14725	834	65	,	,	,
14725	834	66	as	as	IN
14725	834	67	Mr.	Mr.	NNP
14725	834	68	Newton	Newton	NNP
14725	834	69	has	have	VBZ
14725	834	70	very	very	RB
14725	834	71	well	well	RB
14725	834	72	proved	prove	VBN
14725	834	73	by	by	IN
14725	834	74	experiment	experiment	NN
14725	834	75	,	,	,
14725	834	76	I	-PRON-	PRP
14725	834	77	will	will	MD
14725	834	78	yet	yet	RB
14725	834	79	not	not	RB
14725	834	80	desist	desist	VB
14725	834	81	from	from	IN
14725	834	82	relating	relate	VBG
14725	834	83	the	the	DT
14725	834	84	invention	invention	NN
14725	834	85	,	,	,
14725	834	86	since	since	IN
14725	834	87	it	-PRON-	PRP
14725	834	88	offers	offer	VBZ
14725	834	89	itself	-PRON-	PRP
14725	834	90	,	,	,
14725	834	91	so	so	RB
14725	834	92	to	to	TO
14725	834	93	speak	speak	VB
14725	834	94	,	,	,
14725	834	95	of	of	IN
14725	834	96	itself	-PRON-	PRP
14725	834	97	,	,	,
14725	834	98	and	and	CC
14725	834	99	because	because	IN
14725	834	100	it	-PRON-	PRP
14725	834	101	further	further	RB
14725	834	102	confirms	confirm	VBZ
14725	834	103	our	-PRON-	PRP$
14725	834	104	Theory	theory	NN
14725	834	105	of	of	IN
14725	834	106	refraction	refraction	NN
14725	834	107	,	,	,
14725	834	108	by	by	IN
14725	834	109	the	the	DT
14725	834	110	agreement	agreement	NN
14725	834	111	which	which	WDT
14725	834	112	here	here	RB
14725	834	113	is	be	VBZ
14725	834	114	found	find	VBN
14725	834	115	between	between	IN
14725	834	116	the	the	DT
14725	834	117	refracted	refract	VBN
14725	834	118	ray	ray	NN
14725	834	119	and	and	CC
14725	834	120	the	the	DT
14725	834	121	reflected	reflected	JJ
14725	834	122	ray	ray	NN
14725	834	123	.	.	.
14725	835	1	Besides	besides	RB
14725	835	2	,	,	,
14725	835	3	it	-PRON-	PRP
14725	835	4	may	may	MD
14725	835	5	occur	occur	VB
14725	835	6	that	that	IN
14725	835	7	some	some	DT
14725	835	8	one	one	CD
14725	835	9	in	in	IN
14725	835	10	the	the	DT
14725	835	11	future	future	NN
14725	835	12	will	will	MD
14725	835	13	discover	discover	VB
14725	835	14	in	in	IN
14725	835	15	it	-PRON-	PRP
14725	835	16	utilities	utility	NNS
14725	835	17	which	which	WDT
14725	835	18	at	at	IN
14725	835	19	present	present	NN
14725	835	20	are	be	VBP
14725	835	21	not	not	RB
14725	835	22	seen	see	VBN
14725	835	23	.	.	.
14725	836	1	[	[	-LRB-
14725	836	2	Illustration	illustration	NN
14725	836	3	]	]	-RRB-
14725	836	4	To	to	TO
14725	836	5	proceed	proceed	VB
14725	836	6	then	then	RB
14725	836	7	to	to	IN
14725	836	8	these	these	DT
14725	836	9	figures	figure	NNS
14725	836	10	,	,	,
14725	836	11	let	let	VB
14725	836	12	us	-PRON-	PRP
14725	836	13	suppose	suppose	VB
14725	836	14	first	first	RB
14725	836	15	that	that	IN
14725	836	16	it	-PRON-	PRP
14725	836	17	is	be	VBZ
14725	836	18	desired	desire	VBN
14725	836	19	to	to	TO
14725	836	20	find	find	VB
14725	836	21	a	a	DT
14725	836	22	surface	surface	NN
14725	836	23	CDE	CDE	NNP
14725	836	24	which	which	WDT
14725	836	25	shall	shall	MD
14725	836	26	reassemble	reassemble	VB
14725	836	27	at	at	IN
14725	836	28	a	a	DT
14725	836	29	point	point	NN
14725	836	30	B	b	NN
14725	836	31	rays	ray	NNS
14725	836	32	coming	come	VBG
14725	836	33	from	from	IN
14725	836	34	another	another	DT
14725	836	35	point	point	NN
14725	836	36	A	a	NN
14725	836	37	;	;	:
14725	836	38	and	and	CC
14725	836	39	that	that	IN
14725	836	40	the	the	DT
14725	836	41	summit	summit	NN
14725	836	42	of	of	IN
14725	836	43	the	the	DT
14725	836	44	surface	surface	NN
14725	836	45	shall	shall	MD
14725	836	46	be	be	VB
14725	836	47	the	the	DT
14725	836	48	given	give	VBN
14725	836	49	point	point	NN
14725	836	50	D	d	NN
14725	836	51	in	in	IN
14725	836	52	the	the	DT
14725	836	53	straight	straight	JJ
14725	836	54	line	line	NN
14725	836	55	AB	ab	NN
14725	836	56	.	.	.
14725	837	1	I	-PRON-	PRP
14725	837	2	say	say	VBP
14725	837	3	that	that	IN
14725	837	4	,	,	,
14725	837	5	whether	whether	IN
14725	837	6	by	by	IN
14725	837	7	reflexion	reflexion	NN
14725	837	8	or	or	CC
14725	837	9	by	by	IN
14725	837	10	refraction	refraction	NN
14725	837	11	,	,	,
14725	837	12	it	-PRON-	PRP
14725	837	13	is	be	VBZ
14725	837	14	only	only	RB
14725	837	15	necessary	necessary	JJ
14725	837	16	to	to	TO
14725	837	17	make	make	VB
14725	837	18	this	this	DT
14725	837	19	surface	surface	NN
14725	837	20	such	such	JJ
14725	837	21	that	that	IN
14725	837	22	the	the	DT
14725	837	23	path	path	NN
14725	837	24	of	of	IN
14725	837	25	the	the	DT
14725	837	26	light	light	NN
14725	837	27	from	from	IN
14725	837	28	the	the	DT
14725	837	29	point	point	NN
14725	837	30	A	a	NN
14725	837	31	to	to	IN
14725	837	32	all	all	DT
14725	837	33	points	point	NNS
14725	837	34	of	of	IN
14725	837	35	the	the	DT
14725	837	36	curved	curved	JJ
14725	837	37	line	line	NN
14725	837	38	CDE	CDE	NNP
14725	837	39	,	,	,
14725	837	40	and	and	CC
14725	837	41	from	from	IN
14725	837	42	these	these	DT
14725	837	43	to	to	IN
14725	837	44	the	the	DT
14725	837	45	point	point	NN
14725	837	46	of	of	IN
14725	837	47	concurrence	concurrence	NN
14725	837	48	(	(	-LRB-
14725	837	49	as	as	RB
14725	837	50	here	here	RB
14725	837	51	the	the	DT
14725	837	52	path	path	NN
14725	837	53	along	along	IN
14725	837	54	the	the	DT
14725	837	55	straight	straight	JJ
14725	837	56	lines	line	NNS
14725	837	57	AC	AC	NNP
14725	837	58	,	,	,
14725	837	59	CB	CB	NNP
14725	837	60	,	,	,
14725	837	61	along	along	IN
14725	837	62	AL	AL	NNP
14725	837	63	,	,	,
14725	837	64	LB	LB	NNP
14725	837	65	,	,	,
14725	837	66	and	and	CC
14725	837	67	along	along	IN
14725	837	68	AD	ad	NN
14725	837	69	,	,	,
14725	837	70	DB	DB	NNP
14725	837	71	)	)	-RRB-
14725	837	72	,	,	,
14725	837	73	shall	shall	MD
14725	837	74	be	be	VB
14725	837	75	everywhere	everywhere	RB
14725	837	76	traversed	traverse	VBN
14725	837	77	in	in	IN
14725	837	78	equal	equal	JJ
14725	837	79	times	time	NNS
14725	837	80	:	:	:
14725	837	81	by	by	IN
14725	837	82	which	which	WDT
14725	837	83	principle	principle	NN
14725	837	84	the	the	DT
14725	837	85	finding	finding	NN
14725	837	86	of	of	IN
14725	837	87	these	these	DT
14725	837	88	curves	curve	NNS
14725	837	89	becomes	become	VBZ
14725	837	90	very	very	RB
14725	837	91	easy	easy	JJ
14725	837	92	.	.	.
14725	838	1	[	[	-LRB-
14725	838	2	Illustration	illustration	NN
14725	838	3	]	]	-RRB-
14725	838	4	So	so	RB
14725	838	5	far	far	RB
14725	838	6	as	as	IN
14725	838	7	relates	relate	VBZ
14725	838	8	to	to	IN
14725	838	9	the	the	DT
14725	838	10	reflecting	reflect	VBG
14725	838	11	surface	surface	NN
14725	838	12	,	,	,
14725	838	13	since	since	IN
14725	838	14	the	the	DT
14725	838	15	sum	sum	NN
14725	838	16	of	of	IN
14725	838	17	the	the	DT
14725	838	18	lines	line	NNS
14725	838	19	AC	AC	NNP
14725	838	20	,	,	,
14725	838	21	CB	CB	NNP
14725	838	22	ought	ought	MD
14725	838	23	to	to	TO
14725	838	24	be	be	VB
14725	838	25	equal	equal	JJ
14725	838	26	to	to	IN
14725	838	27	that	that	DT
14725	838	28	of	of	IN
14725	838	29	AD	ad	NN
14725	838	30	,	,	,
14725	838	31	DB	DB	NNP
14725	838	32	,	,	,
14725	838	33	it	-PRON-	PRP
14725	838	34	appears	appear	VBZ
14725	838	35	that	that	IN
14725	838	36	DCE	DCE	NNP
14725	838	37	ought	ought	MD
14725	838	38	to	to	TO
14725	838	39	be	be	VB
14725	838	40	an	an	DT
14725	838	41	ellipse	ellipse	NN
14725	838	42	;	;	:
14725	838	43	and	and	CC
14725	838	44	for	for	IN
14725	838	45	refraction	refraction	NN
14725	838	46	,	,	,
14725	838	47	the	the	DT
14725	838	48	ratio	ratio	NN
14725	838	49	of	of	IN
14725	838	50	the	the	DT
14725	838	51	velocities	velocity	NNS
14725	838	52	of	of	IN
14725	838	53	waves	wave	NNS
14725	838	54	of	of	IN
14725	838	55	light	light	NN
14725	838	56	in	in	IN
14725	838	57	the	the	DT
14725	838	58	media	medium	NNS
14725	838	59	A	a	NN
14725	838	60	and	and	CC
14725	838	61	B	b	NN
14725	838	62	being	be	VBG
14725	838	63	supposed	suppose	VBN
14725	838	64	to	to	TO
14725	838	65	be	be	VB
14725	838	66	known	know	VBN
14725	838	67	,	,	,
14725	838	68	for	for	IN
14725	838	69	example	example	NN
14725	838	70	that	that	IN
14725	838	71	of	of	IN
14725	838	72	3	3	CD
14725	838	73	to	to	IN
14725	838	74	2	2	CD
14725	838	75	(	(	-LRB-
14725	838	76	which	which	WDT
14725	838	77	is	be	VBZ
14725	838	78	the	the	DT
14725	838	79	same	same	JJ
14725	838	80	,	,	,
14725	838	81	as	as	IN
14725	838	82	we	-PRON-	PRP
14725	838	83	have	have	VBP
14725	838	84	shown	show	VBN
14725	838	85	,	,	,
14725	838	86	as	as	IN
14725	838	87	the	the	DT
14725	838	88	ratio	ratio	NN
14725	838	89	of	of	IN
14725	838	90	the	the	DT
14725	838	91	Sines	Sines	NNPS
14725	838	92	in	in	IN
14725	838	93	the	the	DT
14725	838	94	refraction	refraction	NN
14725	838	95	)	)	-RRB-
14725	838	96	,	,	,
14725	838	97	it	-PRON-	PRP
14725	838	98	is	be	VBZ
14725	838	99	only	only	RB
14725	838	100	necessary	necessary	JJ
14725	838	101	to	to	TO
14725	838	102	make	make	VB
14725	838	103	DH	DH	NNP
14725	838	104	equal	equal	JJ
14725	838	105	to	to	IN
14725	838	106	3/2	3/2	CD
14725	838	107	of	of	IN
14725	838	108	DB	DB	NNP
14725	838	109	;	;	:
14725	838	110	and	and	CC
14725	838	111	having	have	VBG
14725	838	112	after	after	IN
14725	838	113	that	that	DT
14725	838	114	described	describe	VBN
14725	838	115	from	from	IN
14725	838	116	the	the	DT
14725	838	117	centre	centre	NN
14725	838	118	A	a	DT
14725	838	119	some	some	DT
14725	838	120	arc	arc	NN
14725	838	121	FC	fc	NN
14725	838	122	,	,	,
14725	838	123	cutting	cut	VBG
14725	838	124	DB	DB	NNP
14725	838	125	at	at	IN
14725	838	126	F	F	NNP
14725	838	127	,	,	,
14725	838	128	then	then	RB
14725	838	129	describe	describe	VB
14725	838	130	another	another	DT
14725	838	131	from	from	IN
14725	838	132	centre	centre	NN
14725	838	133	B	b	NN
14725	838	134	with	with	IN
14725	838	135	its	-PRON-	PRP$
14725	838	136	semi	semi	JJ
14725	838	137	-	-	JJ
14725	838	138	diameter	diameter	NN
14725	838	139	BX	BX	NNP
14725	838	140	equal	equal	JJ
14725	838	141	to	to	IN
14725	838	142	2/3	2/3	CD
14725	838	143	of	of	IN
14725	838	144	FH	FH	NNP
14725	838	145	;	;	:
14725	838	146	and	and	CC
14725	838	147	the	the	DT
14725	838	148	point	point	NN
14725	838	149	of	of	IN
14725	838	150	intersection	intersection	NN
14725	838	151	of	of	IN
14725	838	152	the	the	DT
14725	838	153	two	two	CD
14725	838	154	arcs	arc	NNS
14725	838	155	will	will	MD
14725	838	156	be	be	VB
14725	838	157	one	one	CD
14725	838	158	of	of	IN
14725	838	159	the	the	DT
14725	838	160	points	point	NNS
14725	838	161	required	require	VBN
14725	838	162	,	,	,
14725	838	163	through	through	IN
14725	838	164	which	which	WDT
14725	838	165	the	the	DT
14725	838	166	curve	curve	NN
14725	838	167	should	should	MD
14725	838	168	pass	pass	VB
14725	838	169	.	.	.
14725	839	1	For	for	IN
14725	839	2	this	this	DT
14725	839	3	point	point	NN
14725	839	4	,	,	,
14725	839	5	having	have	VBG
14725	839	6	been	be	VBN
14725	839	7	found	find	VBN
14725	839	8	in	in	IN
14725	839	9	this	this	DT
14725	839	10	fashion	fashion	NN
14725	839	11	,	,	,
14725	839	12	it	-PRON-	PRP
14725	839	13	is	be	VBZ
14725	839	14	easy	easy	JJ
14725	839	15	forthwith	forthwith	NNP
14725	839	16	to	to	TO
14725	839	17	demonstrate	demonstrate	VB
14725	839	18	that	that	IN
14725	839	19	the	the	DT
14725	839	20	time	time	NN
14725	839	21	along	along	IN
14725	839	22	AC	AC	NNP
14725	839	23	,	,	,
14725	839	24	CB	CB	NNP
14725	839	25	,	,	,
14725	839	26	will	will	MD
14725	839	27	be	be	VB
14725	839	28	equal	equal	JJ
14725	839	29	to	to	IN
14725	839	30	the	the	DT
14725	839	31	time	time	NN
14725	839	32	along	along	IN
14725	839	33	AD	ad	NN
14725	839	34	,	,	,
14725	839	35	DB	DB	NNP
14725	839	36	.	.	.
14725	840	1	For	for	IN
14725	840	2	assuming	assume	VBG
14725	840	3	that	that	IN
14725	840	4	the	the	DT
14725	840	5	line	line	NN
14725	840	6	AD	ad	NN
14725	840	7	represents	represent	VBZ
14725	840	8	the	the	DT
14725	840	9	time	time	NN
14725	840	10	which	which	WDT
14725	840	11	the	the	DT
14725	840	12	light	light	NN
14725	840	13	takes	take	VBZ
14725	840	14	to	to	TO
14725	840	15	traverse	traverse	VB
14725	840	16	this	this	DT
14725	840	17	same	same	JJ
14725	840	18	distance	distance	NN
14725	840	19	AD	ad	NN
14725	840	20	in	in	IN
14725	840	21	air	air	NN
14725	840	22	,	,	,
14725	840	23	it	-PRON-	PRP
14725	840	24	is	be	VBZ
14725	840	25	evident	evident	JJ
14725	840	26	that	that	IN
14725	840	27	DH	DH	NNP
14725	840	28	,	,	,
14725	840	29	equal	equal	JJ
14725	840	30	to	to	IN
14725	840	31	3/2	3/2	CD
14725	840	32	of	of	IN
14725	840	33	DB	DB	NNP
14725	840	34	,	,	,
14725	840	35	will	will	MD
14725	840	36	represent	represent	VB
14725	840	37	the	the	DT
14725	840	38	time	time	NN
14725	840	39	of	of	IN
14725	840	40	the	the	DT
14725	840	41	light	light	NN
14725	840	42	along	along	IN
14725	840	43	DB	DB	NNP
14725	840	44	in	in	IN
14725	840	45	the	the	DT
14725	840	46	medium	medium	NN
14725	840	47	,	,	,
14725	840	48	because	because	IN
14725	840	49	it	-PRON-	PRP
14725	840	50	needs	need	VBZ
14725	840	51	here	here	RB
14725	840	52	more	more	JJR
14725	840	53	time	time	NN
14725	840	54	in	in	IN
14725	840	55	proportion	proportion	NN
14725	840	56	as	as	IN
14725	840	57	its	-PRON-	PRP$
14725	840	58	speed	speed	NN
14725	840	59	is	be	VBZ
14725	840	60	slower	slow	JJR
14725	840	61	.	.	.
14725	841	1	Therefore	therefore	RB
14725	841	2	the	the	DT
14725	841	3	whole	whole	JJ
14725	841	4	line	line	NN
14725	841	5	AH	AH	NNP
14725	841	6	will	will	MD
14725	841	7	represent	represent	VB
14725	841	8	the	the	DT
14725	841	9	time	time	NN
14725	841	10	along	along	IN
14725	841	11	AD	ad	NN
14725	841	12	,	,	,
14725	841	13	DB	DB	NNP
14725	841	14	.	.	.
14725	842	1	Similarly	similarly	RB
14725	842	2	the	the	DT
14725	842	3	line	line	NN
14725	842	4	AC	AC	NNP
14725	842	5	or	or	CC
14725	842	6	AF	AF	NNP
14725	842	7	will	will	MD
14725	842	8	represent	represent	VB
14725	842	9	the	the	DT
14725	842	10	time	time	NN
14725	842	11	along	along	IN
14725	842	12	AC	AC	NNP
14725	842	13	;	;	:
14725	842	14	and	and	CC
14725	842	15	FH	FH	NNP
14725	842	16	being	be	VBG
14725	842	17	by	by	IN
14725	842	18	construction	construction	NN
14725	842	19	equal	equal	JJ
14725	842	20	to	to	IN
14725	842	21	3/2	3/2	CD
14725	842	22	of	of	IN
14725	842	23	CB	CB	NNP
14725	842	24	,	,	,
14725	842	25	it	-PRON-	PRP
14725	842	26	will	will	MD
14725	842	27	represent	represent	VB
14725	842	28	the	the	DT
14725	842	29	time	time	NN
14725	842	30	along	along	IN
14725	842	31	CB	CB	NNP
14725	842	32	in	in	IN
14725	842	33	the	the	DT
14725	842	34	medium	medium	NN
14725	842	35	;	;	:
14725	842	36	and	and	CC
14725	842	37	in	in	IN
14725	842	38	consequence	consequence	NN
14725	842	39	the	the	DT
14725	842	40	whole	whole	JJ
14725	842	41	line	line	NN
14725	842	42	AH	AH	NNP
14725	842	43	will	will	MD
14725	842	44	represent	represent	VB
14725	842	45	also	also	RB
14725	842	46	the	the	DT
14725	842	47	time	time	NN
14725	842	48	along	along	IN
14725	842	49	AC	AC	NNP
14725	842	50	,	,	,
14725	842	51	CB	CB	NNP
14725	842	52	.	.	.
14725	843	1	Whence	whence	IN
14725	843	2	it	-PRON-	PRP
14725	843	3	appears	appear	VBZ
14725	843	4	that	that	IN
14725	843	5	the	the	DT
14725	843	6	time	time	NN
14725	843	7	along	along	IN
14725	843	8	AC	AC	NNP
14725	843	9	,	,	,
14725	843	10	CB	CB	NNP
14725	843	11	,	,	,
14725	843	12	is	be	VBZ
14725	843	13	equal	equal	JJ
14725	843	14	to	to	IN
14725	843	15	the	the	DT
14725	843	16	time	time	NN
14725	843	17	along	along	IN
14725	843	18	AD	ad	NN
14725	843	19	,	,	,
14725	843	20	DB	DB	NNP
14725	843	21	.	.	.
14725	844	1	And	and	CC
14725	844	2	similarly	similarly	RB
14725	844	3	it	-PRON-	PRP
14725	844	4	can	can	MD
14725	844	5	be	be	VB
14725	844	6	shown	show	VBN
14725	844	7	if	if	IN
14725	844	8	L	l	NN
14725	844	9	and	and	CC
14725	844	10	K	K	NNP
14725	844	11	are	be	VBP
14725	844	12	other	other	JJ
14725	844	13	points	point	NNS
14725	844	14	in	in	IN
14725	844	15	the	the	DT
14725	844	16	curve	curve	NN
14725	844	17	CDE	CDE	NNP
14725	844	18	,	,	,
14725	844	19	that	that	IN
14725	844	20	the	the	DT
14725	844	21	times	time	NNS
14725	844	22	along	along	IN
14725	844	23	AL	AL	NNP
14725	844	24	,	,	,
14725	844	25	LB	LB	NNP
14725	844	26	,	,	,
14725	844	27	and	and	CC
14725	844	28	along	along	IN
14725	844	29	AK	AK	NNP
14725	844	30	,	,	,
14725	844	31	KB	KB	NNP
14725	844	32	,	,	,
14725	844	33	are	be	VBP
14725	844	34	always	always	RB
14725	844	35	represented	represent	VBN
14725	844	36	by	by	IN
14725	844	37	the	the	DT
14725	844	38	line	line	NN
14725	844	39	AH	AH	NNP
14725	844	40	,	,	,
14725	844	41	and	and	CC
14725	844	42	therefore	therefore	RB
14725	844	43	equal	equal	JJ
14725	844	44	to	to	IN
14725	844	45	the	the	DT
14725	844	46	said	say	VBN
14725	844	47	time	time	NN
14725	844	48	along	along	IN
14725	844	49	AD	ad	NN
14725	844	50	,	,	,
14725	844	51	DB	DB	NNP
14725	844	52	.	.	.
14725	845	1	In	in	IN
14725	845	2	order	order	NN
14725	845	3	to	to	TO
14725	845	4	show	show	VB
14725	845	5	further	further	RB
14725	845	6	that	that	IN
14725	845	7	the	the	DT
14725	845	8	surfaces	surface	NNS
14725	845	9	,	,	,
14725	845	10	which	which	WDT
14725	845	11	these	these	DT
14725	845	12	curves	curve	NNS
14725	845	13	will	will	MD
14725	845	14	generate	generate	VB
14725	845	15	by	by	IN
14725	845	16	revolution	revolution	NN
14725	845	17	,	,	,
14725	845	18	will	will	MD
14725	845	19	direct	direct	VB
14725	845	20	all	all	PDT
14725	845	21	the	the	DT
14725	845	22	rays	ray	NNS
14725	845	23	which	which	WDT
14725	845	24	reach	reach	VBP
14725	845	25	them	-PRON-	PRP
14725	845	26	from	from	IN
14725	845	27	the	the	DT
14725	845	28	point	point	NN
14725	845	29	A	a	NN
14725	845	30	in	in	IN
14725	845	31	such	such	JJ
14725	845	32	wise	wise	JJ
14725	845	33	that	that	IN
14725	845	34	they	-PRON-	PRP
14725	845	35	tend	tend	VBP
14725	845	36	towards	towards	IN
14725	845	37	B	b	NN
14725	845	38	,	,	,
14725	845	39	let	let	VB
14725	845	40	there	there	EX
14725	845	41	be	be	VB
14725	845	42	supposed	suppose	VBN
14725	845	43	a	a	DT
14725	845	44	point	point	NN
14725	845	45	K	k	NN
14725	845	46	in	in	IN
14725	845	47	the	the	DT
14725	845	48	curve	curve	NN
14725	845	49	,	,	,
14725	845	50	farther	farther	RB
14725	845	51	from	from	IN
14725	845	52	D	d	NN
14725	845	53	than	than	IN
14725	845	54	C	C	NNP
14725	845	55	is	be	VBZ
14725	845	56	,	,	,
14725	845	57	but	but	CC
14725	845	58	such	such	JJ
14725	845	59	that	that	IN
14725	845	60	the	the	DT
14725	845	61	straight	straight	JJ
14725	845	62	line	line	NN
14725	845	63	AK	AK	NNP
14725	845	64	falls	fall	VBZ
14725	845	65	from	from	IN
14725	845	66	outside	outside	RB
14725	845	67	upon	upon	IN
14725	845	68	the	the	DT
14725	845	69	curve	curve	NN
14725	845	70	which	which	WDT
14725	845	71	serves	serve	VBZ
14725	845	72	for	for	IN
14725	845	73	the	the	DT
14725	845	74	refraction	refraction	NN
14725	845	75	;	;	:
14725	845	76	and	and	CC
14725	845	77	from	from	IN
14725	845	78	the	the	DT
14725	845	79	centre	centre	NN
14725	845	80	B	b	NN
14725	845	81	let	let	VBD
14725	845	82	the	the	DT
14725	845	83	arc	arc	NN
14725	845	84	KS	KS	NNP
14725	845	85	be	be	VB
14725	845	86	described	describe	VBN
14725	845	87	,	,	,
14725	845	88	cutting	cut	VBG
14725	845	89	BD	BD	NNP
14725	845	90	at	at	IN
14725	845	91	S	S	NNP
14725	845	92	,	,	,
14725	845	93	and	and	CC
14725	845	94	the	the	DT
14725	845	95	straight	straight	JJ
14725	845	96	line	line	NN
14725	845	97	CB	CB	NNP
14725	845	98	at	at	IN
14725	845	99	R	r	NN
14725	845	100	;	;	:
14725	845	101	and	and	CC
14725	845	102	from	from	IN
14725	845	103	the	the	DT
14725	845	104	centre	centre	NN
14725	845	105	A	a	NN
14725	845	106	describe	describe	VBP
14725	845	107	the	the	DT
14725	845	108	arc	arc	NN
14725	845	109	DN	DN	NNP
14725	845	110	meeting	meeting	NN
14725	845	111	AK	AK	NNP
14725	845	112	at	at	IN
14725	845	113	N.	N.	NNP
14725	845	114	Since	since	IN
14725	845	115	the	the	DT
14725	845	116	sums	sum	NNS
14725	845	117	of	of	IN
14725	845	118	the	the	DT
14725	845	119	times	time	NNS
14725	845	120	along	along	IN
14725	845	121	AK	AK	NNP
14725	845	122	,	,	,
14725	845	123	KB	KB	NNP
14725	845	124	,	,	,
14725	845	125	and	and	CC
14725	845	126	along	along	IN
14725	845	127	AC	AC	NNP
14725	845	128	,	,	,
14725	845	129	CB	CB	NNP
14725	845	130	are	be	VBP
14725	845	131	equal	equal	JJ
14725	845	132	,	,	,
14725	845	133	if	if	IN
14725	845	134	from	from	IN
14725	845	135	the	the	DT
14725	845	136	former	former	JJ
14725	845	137	sum	sum	NN
14725	845	138	one	one	CD
14725	845	139	deducts	deduct	VBZ
14725	845	140	the	the	DT
14725	845	141	time	time	NN
14725	845	142	along	along	IN
14725	845	143	KB	KB	NNP
14725	845	144	,	,	,
14725	845	145	and	and	CC
14725	845	146	if	if	IN
14725	845	147	from	from	IN
14725	845	148	the	the	DT
14725	845	149	other	other	JJ
14725	845	150	one	one	NN
14725	845	151	deducts	deduct	VBZ
14725	845	152	the	the	DT
14725	845	153	time	time	NN
14725	845	154	along	along	IN
14725	845	155	RB	RB	NNP
14725	845	156	,	,	,
14725	845	157	there	there	EX
14725	845	158	will	will	MD
14725	845	159	remain	remain	VB
14725	845	160	the	the	DT
14725	845	161	time	time	NN
14725	845	162	along	along	IN
14725	845	163	AK	AK	NNP
14725	845	164	as	as	RB
14725	845	165	equal	equal	JJ
14725	845	166	to	to	IN
14725	845	167	the	the	DT
14725	845	168	time	time	NN
14725	845	169	along	along	IN
14725	845	170	the	the	DT
14725	845	171	two	two	CD
14725	845	172	parts	part	NNS
14725	845	173	AC	AC	NNP
14725	845	174	,	,	,
14725	845	175	CR	CR	NNP
14725	845	176	.	.	.
14725	846	1	Consequently	consequently	RB
14725	846	2	in	in	IN
14725	846	3	the	the	DT
14725	846	4	time	time	NN
14725	846	5	that	that	WDT
14725	846	6	the	the	DT
14725	846	7	light	light	NN
14725	846	8	has	have	VBZ
14725	846	9	come	come	VBN
14725	846	10	along	along	IN
14725	846	11	AK	AK	NNP
14725	846	12	it	-PRON-	PRP
14725	846	13	will	will	MD
14725	846	14	also	also	RB
14725	846	15	have	have	VB
14725	846	16	come	come	VBN
14725	846	17	along	along	IN
14725	846	18	AC	AC	NNP
14725	846	19	and	and	CC
14725	846	20	will	will	MD
14725	846	21	in	in	IN
14725	846	22	addition	addition	NN
14725	846	23	have	have	VBP
14725	846	24	made	make	VBN
14725	846	25	,	,	,
14725	846	26	in	in	IN
14725	846	27	the	the	DT
14725	846	28	medium	medium	NN
14725	846	29	from	from	IN
14725	846	30	the	the	DT
14725	846	31	centre	centre	NN
14725	846	32	C	C	NNP
14725	846	33	,	,	,
14725	846	34	a	a	DT
14725	846	35	partial	partial	JJ
14725	846	36	spherical	spherical	JJ
14725	846	37	wave	wave	NN
14725	846	38	,	,	,
14725	846	39	having	have	VBG
14725	846	40	a	a	DT
14725	846	41	semi	semi	JJ
14725	846	42	-	-	JJ
14725	846	43	diameter	diameter	NN
14725	846	44	equal	equal	JJ
14725	846	45	to	to	IN
14725	846	46	CR	CR	NNP
14725	846	47	.	.	.
14725	847	1	And	and	CC
14725	847	2	this	this	DT
14725	847	3	wave	wave	NN
14725	847	4	will	will	MD
14725	847	5	necessarily	necessarily	RB
14725	847	6	touch	touch	VB
14725	847	7	the	the	DT
14725	847	8	circumference	circumference	NN
14725	847	9	KS	KS	NNP
14725	847	10	at	at	IN
14725	847	11	R	r	NN
14725	847	12	,	,	,
14725	847	13	since	since	IN
14725	847	14	CB	CB	NNP
14725	847	15	cuts	cut	VBZ
14725	847	16	this	this	DT
14725	847	17	circumference	circumference	NN
14725	847	18	at	at	IN
14725	847	19	right	right	JJ
14725	847	20	angles	angle	NNS
14725	847	21	.	.	.
14725	848	1	Similarly	similarly	RB
14725	848	2	,	,	,
14725	848	3	having	have	VBG
14725	848	4	taken	take	VBN
14725	848	5	any	any	DT
14725	848	6	other	other	JJ
14725	848	7	point	point	NN
14725	848	8	L	l	NN
14725	848	9	in	in	IN
14725	848	10	the	the	DT
14725	848	11	curve	curve	NN
14725	848	12	,	,	,
14725	848	13	one	one	PRP
14725	848	14	can	can	MD
14725	848	15	show	show	VB
14725	848	16	that	that	IN
14725	848	17	in	in	IN
14725	848	18	the	the	DT
14725	848	19	same	same	JJ
14725	848	20	time	time	NN
14725	848	21	as	as	IN
14725	848	22	the	the	DT
14725	848	23	light	light	NN
14725	848	24	passes	pass	VBZ
14725	848	25	along	along	IN
14725	848	26	AL	AL	NNP
14725	848	27	it	-PRON-	PRP
14725	848	28	will	will	MD
14725	848	29	also	also	RB
14725	848	30	have	have	VB
14725	848	31	come	come	VBN
14725	848	32	along	along	IN
14725	848	33	AL	AL	NNP
14725	848	34	and	and	CC
14725	848	35	in	in	IN
14725	848	36	addition	addition	NN
14725	848	37	will	will	MD
14725	848	38	have	have	VB
14725	848	39	made	make	VBN
14725	848	40	a	a	DT
14725	848	41	partial	partial	JJ
14725	848	42	wave	wave	NN
14725	848	43	,	,	,
14725	848	44	from	from	IN
14725	848	45	the	the	DT
14725	848	46	centre	centre	NN
14725	848	47	L	L	NNP
14725	848	48	,	,	,
14725	848	49	which	which	WDT
14725	848	50	will	will	MD
14725	848	51	touch	touch	VB
14725	848	52	the	the	DT
14725	848	53	same	same	JJ
14725	848	54	circumference	circumference	NN
14725	848	55	KS	KS	NNP
14725	848	56	.	.	.
14725	849	1	And	and	CC
14725	849	2	so	so	RB
14725	849	3	with	with	IN
14725	849	4	all	all	DT
14725	849	5	other	other	JJ
14725	849	6	points	point	NNS
14725	849	7	of	of	IN
14725	849	8	the	the	DT
14725	849	9	curve	curve	NN
14725	849	10	CDE	cde	NN
14725	849	11	.	.	.
14725	850	1	Then	then	RB
14725	850	2	at	at	IN
14725	850	3	the	the	DT
14725	850	4	moment	moment	NN
14725	850	5	that	that	IN
14725	850	6	the	the	DT
14725	850	7	light	light	NN
14725	850	8	reaches	reach	VBZ
14725	850	9	K	K	NNP
14725	850	10	the	the	DT
14725	850	11	arc	arc	NNP
14725	850	12	KRS	KRS	NNP
14725	850	13	will	will	MD
14725	850	14	be	be	VB
14725	850	15	the	the	DT
14725	850	16	termination	termination	NN
14725	850	17	of	of	IN
14725	850	18	the	the	DT
14725	850	19	movement	movement	NN
14725	850	20	,	,	,
14725	850	21	which	which	WDT
14725	850	22	has	have	VBZ
14725	850	23	spread	spread	VBN
14725	850	24	from	from	IN
14725	850	25	A	a	DT
14725	850	26	through	through	IN
14725	850	27	DCK	DCK	NNP
14725	850	28	.	.	.
14725	851	1	And	and	CC
14725	851	2	thus	thus	RB
14725	851	3	this	this	DT
14725	851	4	same	same	JJ
14725	851	5	arc	arc	NN
14725	851	6	will	will	MD
14725	851	7	constitute	constitute	VB
14725	851	8	in	in	IN
14725	851	9	the	the	DT
14725	851	10	medium	medium	NN
14725	851	11	the	the	DT
14725	851	12	propagation	propagation	NN
14725	851	13	of	of	IN
14725	851	14	the	the	DT
14725	851	15	wave	wave	NN
14725	851	16	emanating	emanate	VBG
14725	851	17	from	from	IN
14725	851	18	A	a	DT
14725	851	19	;	;	:
14725	851	20	which	which	WDT
14725	851	21	wave	wave	NN
14725	851	22	may	may	MD
14725	851	23	be	be	VB
14725	851	24	represented	represent	VBN
14725	851	25	by	by	IN
14725	851	26	the	the	DT
14725	851	27	arc	arc	NNP
14725	851	28	DN	DN	NNP
14725	851	29	,	,	,
14725	851	30	or	or	CC
14725	851	31	by	by	IN
14725	851	32	any	any	DT
14725	851	33	other	other	JJ
14725	851	34	nearer	nearer	NN
14725	851	35	the	the	DT
14725	851	36	centre	centre	NN
14725	851	37	A.	a.	NN
14725	852	1	But	but	CC
14725	852	2	all	all	PDT
14725	852	3	the	the	DT
14725	852	4	pieces	piece	NNS
14725	852	5	of	of	IN
14725	852	6	the	the	DT
14725	852	7	arc	arc	NNP
14725	852	8	KRS	KRS	NNP
14725	852	9	are	be	VBP
14725	852	10	propagated	propagate	VBN
14725	852	11	successively	successively	RB
14725	852	12	along	along	IN
14725	852	13	straight	straight	JJ
14725	852	14	lines	line	NNS
14725	852	15	which	which	WDT
14725	852	16	are	be	VBP
14725	852	17	perpendicular	perpendicular	JJ
14725	852	18	to	to	IN
14725	852	19	them	-PRON-	PRP
14725	852	20	,	,	,
14725	852	21	that	that	DT
14725	852	22	is	be	VBZ
14725	852	23	to	to	TO
14725	852	24	say	say	VB
14725	852	25	,	,	,
14725	852	26	which	which	WDT
14725	852	27	tend	tend	VBP
14725	852	28	to	to	IN
14725	852	29	the	the	DT
14725	852	30	centre	centre	NN
14725	852	31	B	B	NNP
14725	852	32	(	(	-LRB-
14725	852	33	for	for	IN
14725	852	34	that	that	DT
14725	852	35	can	can	MD
14725	852	36	be	be	VB
14725	852	37	demonstrated	demonstrate	VBN
14725	852	38	in	in	IN
14725	852	39	the	the	DT
14725	852	40	same	same	JJ
14725	852	41	way	way	NN
14725	852	42	as	as	IN
14725	852	43	we	-PRON-	PRP
14725	852	44	have	have	VBP
14725	852	45	proved	prove	VBN
14725	852	46	above	above	IN
14725	852	47	that	that	IN
14725	852	48	the	the	DT
14725	852	49	pieces	piece	NNS
14725	852	50	of	of	IN
14725	852	51	spherical	spherical	JJ
14725	852	52	waves	wave	NNS
14725	852	53	are	be	VBP
14725	852	54	propagated	propagate	VBN
14725	852	55	along	along	IN
14725	852	56	the	the	DT
14725	852	57	straight	straight	JJ
14725	852	58	lines	line	NNS
14725	852	59	coming	come	VBG
14725	852	60	from	from	IN
14725	852	61	their	-PRON-	PRP$
14725	852	62	centre	centre	NN
14725	852	63	)	)	-RRB-
14725	852	64	,	,	,
14725	852	65	and	and	CC
14725	852	66	these	these	DT
14725	852	67	progressions	progression	NNS
14725	852	68	of	of	IN
14725	852	69	the	the	DT
14725	852	70	pieces	piece	NNS
14725	852	71	of	of	IN
14725	852	72	the	the	DT
14725	852	73	waves	wave	NNS
14725	852	74	constitute	constitute	VBP
14725	852	75	the	the	DT
14725	852	76	rays	ray	NNS
14725	852	77	themselves	-PRON-	PRP
14725	852	78	of	of	IN
14725	852	79	light	light	NN
14725	852	80	.	.	.
14725	853	1	It	-PRON-	PRP
14725	853	2	appears	appear	VBZ
14725	853	3	then	then	RB
14725	853	4	that	that	IN
14725	853	5	all	all	PDT
14725	853	6	these	these	DT
14725	853	7	rays	ray	NNS
14725	853	8	tend	tend	VBP
14725	853	9	here	here	RB
14725	853	10	towards	towards	IN
14725	853	11	the	the	DT
14725	853	12	point	point	NN
14725	853	13	B.	B.	NNP
14725	854	1	One	one	PRP
14725	854	2	might	may	MD
14725	854	3	also	also	RB
14725	854	4	determine	determine	VB
14725	854	5	the	the	DT
14725	854	6	point	point	NN
14725	854	7	C	C	NNP
14725	854	8	,	,	,
14725	854	9	and	and	CC
14725	854	10	all	all	PDT
14725	854	11	the	the	DT
14725	854	12	others	other	NNS
14725	854	13	,	,	,
14725	854	14	in	in	IN
14725	854	15	this	this	DT
14725	854	16	curve	curve	NN
14725	854	17	which	which	WDT
14725	854	18	serves	serve	VBZ
14725	854	19	for	for	IN
14725	854	20	the	the	DT
14725	854	21	refraction	refraction	NN
14725	854	22	,	,	,
14725	854	23	by	by	IN
14725	854	24	dividing	divide	VBG
14725	854	25	DA	DA	NNP
14725	854	26	at	at	IN
14725	854	27	G	g	NN
14725	854	28	in	in	IN
14725	854	29	such	such	PDT
14725	854	30	a	a	DT
14725	854	31	way	way	NN
14725	854	32	that	that	WDT
14725	854	33	DG	DG	NNP
14725	854	34	is	be	VBZ
14725	854	35	2/3	2/3	CD
14725	854	36	of	of	IN
14725	854	37	DA	DA	NNP
14725	854	38	,	,	,
14725	854	39	and	and	CC
14725	854	40	describing	describe	VBG
14725	854	41	from	from	IN
14725	854	42	the	the	DT
14725	854	43	centre	centre	NN
14725	854	44	B	B	NNP
14725	854	45	any	any	DT
14725	854	46	arc	arc	NN
14725	854	47	CX	cx	NN
14725	854	48	which	which	WDT
14725	854	49	cuts	cut	VBZ
14725	854	50	BD	BD	NNP
14725	854	51	at	at	IN
14725	854	52	N	N	NNP
14725	854	53	,	,	,
14725	854	54	and	and	CC
14725	854	55	another	another	DT
14725	854	56	from	from	IN
14725	854	57	the	the	DT
14725	854	58	centre	centre	NN
14725	854	59	A	A	NNP
14725	854	60	with	with	IN
14725	854	61	its	-PRON-	PRP$
14725	854	62	semi	semi	JJ
14725	854	63	-	-	JJ
14725	854	64	diameter	diameter	NN
14725	854	65	AF	AF	NNP
14725	854	66	equal	equal	JJ
14725	854	67	to	to	IN
14725	854	68	3/2	3/2	CD
14725	854	69	of	of	IN
14725	854	70	GX	GX	NNP
14725	854	71	;	;	:
14725	854	72	or	or	CC
14725	854	73	rather	rather	RB
14725	854	74	,	,	,
14725	854	75	having	have	VBG
14725	854	76	described	describe	VBN
14725	854	77	,	,	,
14725	854	78	as	as	IN
14725	854	79	before	before	RB
14725	854	80	,	,	,
14725	854	81	the	the	DT
14725	854	82	arc	arc	NNP
14725	854	83	CX	CX	NNP
14725	854	84	,	,	,
14725	854	85	it	-PRON-	PRP
14725	854	86	is	be	VBZ
14725	854	87	only	only	RB
14725	854	88	necessary	necessary	JJ
14725	854	89	to	to	TO
14725	854	90	make	make	VB
14725	854	91	DF	DF	NNP
14725	854	92	equal	equal	JJ
14725	854	93	to	to	IN
14725	854	94	3/2	3/2	CD
14725	854	95	of	of	IN
14725	854	96	DX	DX	NNP
14725	854	97	,	,	,
14725	854	98	and	and	CC
14725	854	99	from	from	IN
14725	854	100	-	-	HYPH
14725	854	101	the	the	DT
14725	854	102	centre	centre	NN
14725	854	103	A	a	NN
14725	854	104	to	to	TO
14725	854	105	strike	strike	VB
14725	854	106	the	the	DT
14725	854	107	arc	arc	NNP
14725	854	108	FC	FC	NNP
14725	854	109	;	;	:
14725	854	110	for	for	IN
14725	854	111	these	these	DT
14725	854	112	two	two	CD
14725	854	113	constructions	construction	NNS
14725	854	114	,	,	,
14725	854	115	as	as	IN
14725	854	116	may	may	MD
14725	854	117	be	be	VB
14725	854	118	easily	easily	RB
14725	854	119	known	know	VBN
14725	854	120	,	,	,
14725	854	121	come	come	VB
14725	854	122	back	back	RB
14725	854	123	to	to	IN
14725	854	124	the	the	DT
14725	854	125	first	first	JJ
14725	854	126	one	one	CD
14725	854	127	which	which	WDT
14725	854	128	was	be	VBD
14725	854	129	shown	show	VBN
14725	854	130	before	before	IN
14725	854	131	.	.	.
14725	855	1	And	and	CC
14725	855	2	it	-PRON-	PRP
14725	855	3	is	be	VBZ
14725	855	4	manifest	manif	JJS
14725	855	5	by	by	IN
14725	855	6	the	the	DT
14725	855	7	last	last	JJ
14725	855	8	method	method	NN
14725	855	9	that	that	IN
14725	855	10	this	this	DT
14725	855	11	curve	curve	NN
14725	855	12	is	be	VBZ
14725	855	13	the	the	DT
14725	855	14	same	same	JJ
14725	855	15	that	that	IN
14725	855	16	Mr.	Mr.	NNP
14725	855	17	Des	Des	NNP
14725	855	18	Cartes	Cartes	NNP
14725	855	19	has	have	VBZ
14725	855	20	given	give	VBN
14725	855	21	in	in	IN
14725	855	22	his	-PRON-	PRP$
14725	855	23	Geometry	Geometry	NNP
14725	855	24	,	,	,
14725	855	25	and	and	CC
14725	855	26	which	which	WDT
14725	855	27	he	-PRON-	PRP
14725	855	28	calls	call	VBZ
14725	855	29	the	the	DT
14725	855	30	first	first	JJ
14725	855	31	of	of	IN
14725	855	32	his	-PRON-	PRP$
14725	855	33	Ovals	oval	NNS
14725	855	34	.	.	.
14725	856	1	It	-PRON-	PRP
14725	856	2	is	be	VBZ
14725	856	3	only	only	RB
14725	856	4	a	a	DT
14725	856	5	part	part	NN
14725	856	6	of	of	IN
14725	856	7	this	this	DT
14725	856	8	oval	oval	NN
14725	856	9	which	which	WDT
14725	856	10	serves	serve	VBZ
14725	856	11	for	for	IN
14725	856	12	the	the	DT
14725	856	13	refraction	refraction	NN
14725	856	14	,	,	,
14725	856	15	namely	namely	RB
14725	856	16	,	,	,
14725	856	17	the	the	DT
14725	856	18	part	part	NN
14725	856	19	DK	DK	NNP
14725	856	20	,	,	,
14725	856	21	ending	end	VBG
14725	856	22	at	at	IN
14725	856	23	K	K	NNP
14725	856	24	,	,	,
14725	856	25	if	if	IN
14725	856	26	AK	AK	NNP
14725	856	27	is	be	VBZ
14725	856	28	the	the	DT
14725	856	29	tangent	tangent	NN
14725	856	30	.	.	.
14725	857	1	As	as	IN
14725	857	2	to	to	IN
14725	857	3	the	the	DT
14725	857	4	,	,	,
14725	857	5	other	other	JJ
14725	857	6	part	part	NN
14725	857	7	,	,	,
14725	857	8	Des	Des	NNP
14725	857	9	Cartes	Cartes	NNP
14725	857	10	has	have	VBZ
14725	857	11	remarked	remark	VBN
14725	857	12	that	that	IN
14725	857	13	it	-PRON-	PRP
14725	857	14	could	could	MD
14725	857	15	serve	serve	VB
14725	857	16	for	for	IN
14725	857	17	reflexions	reflexion	NNS
14725	857	18	,	,	,
14725	857	19	if	if	IN
14725	857	20	there	there	EX
14725	857	21	were	be	VBD
14725	857	22	some	some	DT
14725	857	23	material	material	NN
14725	857	24	of	of	IN
14725	857	25	a	a	DT
14725	857	26	mirror	mirror	NN
14725	857	27	of	of	IN
14725	857	28	such	such	PDT
14725	857	29	a	a	DT
14725	857	30	nature	nature	NN
14725	857	31	that	that	IN
14725	857	32	by	by	IN
14725	857	33	its	-PRON-	PRP$
14725	857	34	means	mean	NNS
14725	857	35	the	the	DT
14725	857	36	force	force	NN
14725	857	37	of	of	IN
14725	857	38	the	the	DT
14725	857	39	rays	ray	NNS
14725	857	40	(	(	-LRB-
14725	857	41	or	or	CC
14725	857	42	,	,	,
14725	857	43	as	as	IN
14725	857	44	we	-PRON-	PRP
14725	857	45	should	should	MD
14725	857	46	say	say	VB
14725	857	47	,	,	,
14725	857	48	the	the	DT
14725	857	49	velocity	velocity	NN
14725	857	50	of	of	IN
14725	857	51	the	the	DT
14725	857	52	light	light	NN
14725	857	53	,	,	,
14725	857	54	which	which	WDT
14725	857	55	he	-PRON-	PRP
14725	857	56	could	could	MD
14725	857	57	not	not	RB
14725	857	58	say	say	VB
14725	857	59	,	,	,
14725	857	60	since	since	IN
14725	857	61	he	-PRON-	PRP
14725	857	62	held	hold	VBD
14725	857	63	that	that	IN
14725	857	64	the	the	DT
14725	857	65	movement	movement	NN
14725	857	66	of	of	IN
14725	857	67	light	light	NN
14725	857	68	was	be	VBD
14725	857	69	instantaneous	instantaneous	JJ
14725	857	70	)	)	-RRB-
14725	857	71	could	could	MD
14725	857	72	be	be	VB
14725	857	73	augmented	augment	VBN
14725	857	74	in	in	IN
14725	857	75	the	the	DT
14725	857	76	proportion	proportion	NN
14725	857	77	of	of	IN
14725	857	78	3	3	CD
14725	857	79	to	to	IN
14725	857	80	2	2	CD
14725	857	81	.	.	.
14725	858	1	But	but	CC
14725	858	2	we	-PRON-	PRP
14725	858	3	have	have	VBP
14725	858	4	shown	show	VBN
14725	858	5	that	that	IN
14725	858	6	in	in	IN
14725	858	7	our	-PRON-	PRP$
14725	858	8	way	way	NN
14725	858	9	of	of	IN
14725	858	10	explaining	explain	VBG
14725	858	11	reflexion	reflexion	NN
14725	858	12	,	,	,
14725	858	13	such	such	PDT
14725	858	14	a	a	DT
14725	858	15	thing	thing	NN
14725	858	16	could	could	MD
14725	858	17	not	not	RB
14725	858	18	arise	arise	VB
14725	858	19	from	from	IN
14725	858	20	the	the	DT
14725	858	21	matter	matter	NN
14725	858	22	of	of	IN
14725	858	23	the	the	DT
14725	858	24	mirror	mirror	NN
14725	858	25	,	,	,
14725	858	26	and	and	CC
14725	858	27	it	-PRON-	PRP
14725	858	28	is	be	VBZ
14725	858	29	entirely	entirely	RB
14725	858	30	impossible	impossible	JJ
14725	858	31	.	.	.
14725	859	1	[	[	-LRB-
14725	859	2	Illustration	illustration	NN
14725	859	3	]	]	-RRB-
14725	859	4	[	[	-LRB-
14725	859	5	Illustration	illustration	NN
14725	859	6	]	]	-RRB-
14725	859	7	From	from	IN
14725	859	8	what	what	WP
14725	859	9	has	have	VBZ
14725	859	10	been	be	VBN
14725	859	11	demonstrated	demonstrate	VBN
14725	859	12	about	about	IN
14725	859	13	this	this	DT
14725	859	14	oval	oval	NN
14725	859	15	,	,	,
14725	859	16	it	-PRON-	PRP
14725	859	17	will	will	MD
14725	859	18	be	be	VB
14725	859	19	easy	easy	JJ
14725	859	20	to	to	TO
14725	859	21	find	find	VB
14725	859	22	the	the	DT
14725	859	23	figure	figure	NN
14725	859	24	which	which	WDT
14725	859	25	serves	serve	VBZ
14725	859	26	to	to	TO
14725	859	27	collect	collect	VB
14725	859	28	to	to	IN
14725	859	29	a	a	DT
14725	859	30	point	point	NN
14725	859	31	incident	incident	NN
14725	859	32	parallel	parallel	NN
14725	859	33	rays	ray	NNS
14725	859	34	.	.	.
14725	860	1	For	for	IN
14725	860	2	by	by	IN
14725	860	3	supposing	suppose	VBG
14725	860	4	just	just	RB
14725	860	5	the	the	DT
14725	860	6	same	same	JJ
14725	860	7	construction	construction	NN
14725	860	8	,	,	,
14725	860	9	but	but	CC
14725	860	10	the	the	DT
14725	860	11	point	point	NN
14725	860	12	A	a	DT
14725	860	13	infinitely	infinitely	RB
14725	860	14	distant	distant	JJ
14725	860	15	,	,	,
14725	860	16	giving	give	VBG
14725	860	17	parallel	parallel	JJ
14725	860	18	rays	ray	NNS
14725	860	19	,	,	,
14725	860	20	our	-PRON-	PRP$
14725	860	21	oval	oval	NN
14725	860	22	becomes	become	VBZ
14725	860	23	a	a	DT
14725	860	24	true	true	JJ
14725	860	25	Ellipse	Ellipse	NNP
14725	860	26	,	,	,
14725	860	27	the	the	DT
14725	860	28	construction	construction	NN
14725	860	29	of	of	IN
14725	860	30	which	which	WDT
14725	860	31	differs	differ	VBZ
14725	860	32	in	in	IN
14725	860	33	no	no	DT
14725	860	34	way	way	NN
14725	860	35	from	from	IN
14725	860	36	that	that	DT
14725	860	37	of	of	IN
14725	860	38	the	the	DT
14725	860	39	oval	oval	NN
14725	860	40	,	,	,
14725	860	41	except	except	IN
14725	860	42	that	that	DT
14725	860	43	FC	FC	NNP
14725	860	44	,	,	,
14725	860	45	which	which	WDT
14725	860	46	previously	previously	RB
14725	860	47	was	be	VBD
14725	860	48	an	an	DT
14725	860	49	arc	arc	NN
14725	860	50	of	of	IN
14725	860	51	a	a	DT
14725	860	52	circle	circle	NN
14725	860	53	,	,	,
14725	860	54	is	be	VBZ
14725	860	55	here	here	RB
14725	860	56	a	a	DT
14725	860	57	straight	straight	JJ
14725	860	58	line	line	NN
14725	860	59	,	,	,
14725	860	60	perpendicular	perpendicular	JJ
14725	860	61	to	to	IN
14725	860	62	DB	DB	NNP
14725	860	63	.	.	.
14725	861	1	For	for	IN
14725	861	2	the	the	DT
14725	861	3	wave	wave	NN
14725	861	4	of	of	IN
14725	861	5	light	light	JJ
14725	861	6	DN	DN	NNP
14725	861	7	,	,	,
14725	861	8	being	be	VBG
14725	861	9	likewise	likewise	RB
14725	861	10	represented	represent	VBN
14725	861	11	by	by	IN
14725	861	12	a	a	DT
14725	861	13	straight	straight	JJ
14725	861	14	line	line	NN
14725	861	15	,	,	,
14725	861	16	it	-PRON-	PRP
14725	861	17	will	will	MD
14725	861	18	be	be	VB
14725	861	19	seen	see	VBN
14725	861	20	that	that	IN
14725	861	21	all	all	PDT
14725	861	22	the	the	DT
14725	861	23	points	point	NNS
14725	861	24	of	of	IN
14725	861	25	this	this	DT
14725	861	26	wave	wave	NN
14725	861	27	,	,	,
14725	861	28	travelling	travel	VBG
14725	861	29	as	as	RB
14725	861	30	far	far	RB
14725	861	31	as	as	IN
14725	861	32	the	the	DT
14725	861	33	surface	surface	NN
14725	861	34	KD	KD	NNP
14725	861	35	along	along	IN
14725	861	36	lines	line	NNS
14725	861	37	parallel	parallel	JJ
14725	861	38	to	to	IN
14725	861	39	DB	DB	NNP
14725	861	40	,	,	,
14725	861	41	will	will	MD
14725	861	42	advance	advance	VB
14725	861	43	subsequently	subsequently	RB
14725	861	44	towards	towards	IN
14725	861	45	the	the	DT
14725	861	46	point	point	NN
14725	861	47	B	b	NN
14725	861	48	,	,	,
14725	861	49	and	and	CC
14725	861	50	will	will	MD
14725	861	51	arrive	arrive	VB
14725	861	52	there	there	RB
14725	861	53	at	at	IN
14725	861	54	the	the	DT
14725	861	55	same	same	JJ
14725	861	56	time	time	NN
14725	861	57	.	.	.
14725	862	1	As	as	IN
14725	862	2	for	for	IN
14725	862	3	the	the	DT
14725	862	4	Ellipse	Ellipse	NNP
14725	862	5	which	which	WDT
14725	862	6	served	serve	VBD
14725	862	7	for	for	IN
14725	862	8	reflexion	reflexion	NN
14725	862	9	,	,	,
14725	862	10	it	-PRON-	PRP
14725	862	11	is	be	VBZ
14725	862	12	evident	evident	JJ
14725	862	13	that	that	IN
14725	862	14	it	-PRON-	PRP
14725	862	15	will	will	MD
14725	862	16	here	here	RB
14725	862	17	become	become	VB
14725	862	18	a	a	DT
14725	862	19	parabola	parabola	NN
14725	862	20	,	,	,
14725	862	21	since	since	IN
14725	862	22	its	-PRON-	PRP$
14725	862	23	focus	focus	NN
14725	862	24	A	A	NNP
14725	862	25	may	may	MD
14725	862	26	be	be	VB
14725	862	27	regarded	regard	VBN
14725	862	28	as	as	IN
14725	862	29	infinitely	infinitely	RB
14725	862	30	distant	distant	JJ
14725	862	31	from	from	IN
14725	862	32	the	the	DT
14725	862	33	other	other	JJ
14725	862	34	,	,	,
14725	862	35	B	b	NN
14725	862	36	,	,	,
14725	862	37	which	which	WDT
14725	862	38	is	be	VBZ
14725	862	39	here	here	RB
14725	862	40	the	the	DT
14725	862	41	focus	focus	NN
14725	862	42	of	of	IN
14725	862	43	the	the	DT
14725	862	44	parabola	parabola	NN
14725	862	45	,	,	,
14725	862	46	towards	towards	IN
14725	862	47	which	which	WDT
14725	862	48	all	all	PDT
14725	862	49	the	the	DT
14725	862	50	reflexions	reflexion	NNS
14725	862	51	of	of	IN
14725	862	52	rays	ray	NNS
14725	862	53	parallel	parallel	JJ
14725	862	54	to	to	IN
14725	862	55	AB	AB	NNP
14725	862	56	tend	tend	NN
14725	862	57	.	.	.
14725	863	1	And	and	CC
14725	863	2	the	the	DT
14725	863	3	demonstration	demonstration	NN
14725	863	4	of	of	IN
14725	863	5	these	these	DT
14725	863	6	effects	effect	NNS
14725	863	7	is	be	VBZ
14725	863	8	just	just	RB
14725	863	9	the	the	DT
14725	863	10	same	same	JJ
14725	863	11	as	as	IN
14725	863	12	the	the	DT
14725	863	13	preceding	precede	VBG
14725	863	14	.	.	.
14725	864	1	But	but	CC
14725	864	2	that	that	IN
14725	864	3	this	this	DT
14725	864	4	curved	curved	JJ
14725	864	5	line	line	NN
14725	864	6	CDE	CDE	NNP
14725	864	7	which	which	WDT
14725	864	8	serves	serve	VBZ
14725	864	9	for	for	IN
14725	864	10	refraction	refraction	NN
14725	864	11	is	be	VBZ
14725	864	12	an	an	DT
14725	864	13	Ellipse	Ellipse	NNP
14725	864	14	,	,	,
14725	864	15	and	and	CC
14725	864	16	is	be	VBZ
14725	864	17	such	such	JJ
14725	864	18	that	that	IN
14725	864	19	its	-PRON-	PRP$
14725	864	20	major	major	JJ
14725	864	21	diameter	diameter	NN
14725	864	22	is	be	VBZ
14725	864	23	to	to	IN
14725	864	24	the	the	DT
14725	864	25	distance	distance	NN
14725	864	26	between	between	IN
14725	864	27	its	-PRON-	PRP$
14725	864	28	foci	foci	NN
14725	864	29	as	as	IN
14725	864	30	3	3	CD
14725	864	31	to	to	IN
14725	864	32	2	2	CD
14725	864	33	,	,	,
14725	864	34	which	which	WDT
14725	864	35	is	be	VBZ
14725	864	36	the	the	DT
14725	864	37	proportion	proportion	NN
14725	864	38	of	of	IN
14725	864	39	the	the	DT
14725	864	40	refraction	refraction	NN
14725	864	41	,	,	,
14725	864	42	can	can	MD
14725	864	43	be	be	VB
14725	864	44	easily	easily	RB
14725	864	45	found	find	VBN
14725	864	46	by	by	IN
14725	864	47	the	the	DT
14725	864	48	calculus	calculus	NN
14725	864	49	of	of	IN
14725	864	50	Algebra	Algebra	NNP
14725	864	51	.	.	.
14725	865	1	For	for	IN
14725	865	2	DB	DB	NNP
14725	865	3	,	,	,
14725	865	4	which	which	WDT
14725	865	5	is	be	VBZ
14725	865	6	given	give	VBN
14725	865	7	,	,	,
14725	865	8	being	be	VBG
14725	865	9	called	call	VBN
14725	865	10	_	_	NNP
14725	865	11	a	a	DT
14725	865	12	_	_	NNP
14725	865	13	;	;	:
14725	865	14	its	-PRON-	PRP$
14725	865	15	undetermined	undetermined	JJ
14725	865	16	perpendicular	perpendicular	JJ
14725	865	17	DT	DT	NNP
14725	865	18	being	be	VBG
14725	865	19	called	call	VBN
14725	865	20	_	_	NNP
14725	865	21	x	x	NNP
14725	865	22	_	_	NNP
14725	865	23	;	;	:
14725	865	24	and	and	CC
14725	865	25	TC	TC	NNP
14725	865	26	_	_	NNP
14725	865	27	y	y	NNP
14725	865	28	_	_	NNP
14725	865	29	;	;	:
14725	865	30	FB	FB	NNP
14725	865	31	will	will	MD
14725	865	32	be	be	VB
14725	865	33	_	_	NNP
14725	865	34	a	a	NNP
14725	865	35	-	-	HYPH
14725	865	36	y	y	NNP
14725	865	37	_	_	NNP
14725	865	38	;	;	:
14725	865	39	CB	CB	NNP
14725	865	40	will	will	MD
14725	865	41	be	be	VB
14725	865	42	sqrt(_xx	sqrt(_xx	VBN
14725	865	43	+	+	CC
14725	865	44	aa	aa	FW
14725	865	45	-2ay	-2ay	HYPH
14725	865	46	+	+	JJ
14725	865	47	yy	yy	PRP$
14725	865	48	_	_	NNP
14725	865	49	)	)	-RRB-
14725	865	50	.	.	.
14725	866	1	But	but	CC
14725	866	2	the	the	DT
14725	866	3	nature	nature	NN
14725	866	4	of	of	IN
14725	866	5	the	the	DT
14725	866	6	curve	curve	NN
14725	866	7	is	be	VBZ
14725	866	8	such	such	JJ
14725	866	9	that	that	IN
14725	866	10	2/3	2/3	CD
14725	866	11	of	of	IN
14725	866	12	TC	TC	NNP
14725	866	13	together	together	RB
14725	866	14	with	with	IN
14725	866	15	CB	CB	NNP
14725	866	16	is	be	VBZ
14725	866	17	equal	equal	JJ
14725	866	18	to	to	IN
14725	866	19	DB	DB	NNP
14725	866	20	,	,	,
14725	866	21	as	as	IN
14725	866	22	was	be	VBD
14725	866	23	stated	state	VBN
14725	866	24	in	in	IN
14725	866	25	the	the	DT
14725	866	26	last	last	JJ
14725	866	27	construction	construction	NN
14725	866	28	:	:	:
14725	866	29	then	then	RB
14725	866	30	the	the	DT
14725	866	31	equation	equation	NN
14725	866	32	will	will	MD
14725	866	33	be	be	VB
14725	866	34	between	between	IN
14725	866	35	_	_	NNP
14725	866	36	(	(	-LRB-
14725	866	37	2/3)y	2/3)y	CD
14725	866	38	+	+	SYM
14725	866	39	sqrt(xx	sqrt(xx	XX
14725	866	40	+	+	SYM
14725	866	41	aa	aa	JJ
14725	866	42	-	-	HYPH
14725	866	43	2ay	2ay	JJ
14725	866	44	+	+	SYM
14725	866	45	yy	yy	NN
14725	866	46	)	)	-RRB-
14725	866	47	_	_	NNP
14725	866	48	and	and	CC
14725	866	49	_	_	NNP
14725	866	50	a	a	DT
14725	866	51	_	_	NNP
14725	866	52	;	;	:
14725	866	53	which	which	WDT
14725	866	54	being	be	VBG
14725	866	55	reduced	reduce	VBN
14725	866	56	,	,	,
14725	866	57	gives	give	VBZ
14725	866	58	_	_	NNP
14725	866	59	(	(	-LRB-
14725	866	60	6/5)ay	6/5)ay	CD
14725	866	61	-	-	HYPH
14725	866	62	yy	yy	PRP$
14725	866	63	_	_	NNP
14725	866	64	equal	equal	JJ
14725	866	65	to	to	IN
14725	866	66	_	_	NNP
14725	866	67	(	(	-LRB-
14725	866	68	9/5)xx	9/5)xx	CD
14725	866	69	_	_	NNP
14725	866	70	;	;	:
14725	866	71	that	that	DT
14725	866	72	is	be	VBZ
14725	866	73	to	to	TO
14725	866	74	say	say	VB
14725	866	75	that	that	IN
14725	866	76	having	have	VBG
14725	866	77	made	make	VBN
14725	866	78	DO	DO	NNP
14725	866	79	equal	equal	JJ
14725	866	80	to	to	IN
14725	866	81	6/5	6/5	CD
14725	866	82	of	of	IN
14725	866	83	DB	DB	NNP
14725	866	84	,	,	,
14725	866	85	the	the	DT
14725	866	86	rectangle	rectangle	NNP
14725	866	87	DFO	DFO	NNP
14725	866	88	is	be	VBZ
14725	866	89	equal	equal	JJ
14725	866	90	to	to	IN
14725	866	91	9/5	9/5	CD
14725	866	92	of	of	IN
14725	866	93	the	the	DT
14725	866	94	square	square	NN
14725	866	95	on	on	IN
14725	866	96	FC	FC	NNP
14725	866	97	.	.	.
14725	867	1	Whence	whence	NN
14725	867	2	it	-PRON-	PRP
14725	867	3	is	be	VBZ
14725	867	4	seen	see	VBN
14725	867	5	that	that	IN
14725	867	6	DC	DC	NNP
14725	867	7	is	be	VBZ
14725	867	8	an	an	DT
14725	867	9	ellipse	ellipse	NN
14725	867	10	,	,	,
14725	867	11	of	of	IN
14725	867	12	which	which	WDT
14725	867	13	the	the	DT
14725	867	14	axis	axi	NNS
14725	867	15	DO	DO	NNP
14725	867	16	is	be	VBZ
14725	867	17	to	to	IN
14725	867	18	the	the	DT
14725	867	19	parameter	parameter	NN
14725	867	20	as	as	IN
14725	867	21	9	9	CD
14725	867	22	to	to	IN
14725	867	23	5	5	CD
14725	867	24	;	;	:
14725	867	25	and	and	CC
14725	867	26	therefore	therefore	RB
14725	867	27	the	the	DT
14725	867	28	square	square	NN
14725	867	29	on	on	IN
14725	867	30	DO	DO	NNP
14725	867	31	is	be	VBZ
14725	867	32	to	to	IN
14725	867	33	the	the	DT
14725	867	34	square	square	NN
14725	867	35	of	of	IN
14725	867	36	the	the	DT
14725	867	37	distance	distance	NN
14725	867	38	between	between	IN
14725	867	39	the	the	DT
14725	867	40	foci	foci	NN
14725	867	41	as	as	IN
14725	867	42	9	9	CD
14725	867	43	to	to	TO
14725	867	44	9	9	CD
14725	867	45	-	-	SYM
14725	867	46	5	5	CD
14725	867	47	,	,	,
14725	867	48	that	that	DT
14725	867	49	is	be	VBZ
14725	867	50	to	to	TO
14725	867	51	say	say	VB
14725	867	52	4	4	CD
14725	867	53	;	;	:
14725	867	54	and	and	CC
14725	867	55	finally	finally	RB
14725	867	56	the	the	DT
14725	867	57	line	line	NN
14725	867	58	DO	DO	NNP
14725	867	59	will	will	MD
14725	867	60	be	be	VB
14725	867	61	to	to	IN
14725	867	62	this	this	DT
14725	867	63	distance	distance	NN
14725	867	64	as	as	IN
14725	867	65	3	3	CD
14725	867	66	to	to	IN
14725	867	67	2	2	CD
14725	867	68	.	.	.
14725	868	1	[	[	-LRB-
14725	868	2	Illustration	illustration	NN
14725	868	3	]	]	-RRB-
14725	868	4	Again	again	RB
14725	868	5	,	,	,
14725	868	6	if	if	IN
14725	868	7	one	one	PRP
14725	868	8	supposes	suppose	VBZ
14725	868	9	the	the	DT
14725	868	10	point	point	NN
14725	868	11	B	b	NN
14725	868	12	to	to	TO
14725	868	13	be	be	VB
14725	868	14	infinitely	infinitely	RB
14725	868	15	distant	distant	JJ
14725	868	16	,	,	,
14725	868	17	in	in	IN
14725	868	18	lieu	lieu	NN
14725	868	19	of	of	IN
14725	868	20	our	-PRON-	PRP$
14725	868	21	first	first	JJ
14725	868	22	oval	oval	NN
14725	868	23	we	-PRON-	PRP
14725	868	24	shall	shall	MD
14725	868	25	find	find	VB
14725	868	26	that	that	IN
14725	868	27	CDE	CDE	NNP
14725	868	28	is	be	VBZ
14725	868	29	a	a	DT
14725	868	30	true	true	JJ
14725	868	31	Hyperbola	Hyperbola	NNP
14725	868	32	;	;	:
14725	868	33	which	which	WDT
14725	868	34	will	will	MD
14725	868	35	make	make	VB
14725	868	36	those	those	DT
14725	868	37	rays	ray	NNS
14725	868	38	become	become	VB
14725	868	39	parallel	parallel	JJ
14725	868	40	which	which	WDT
14725	868	41	come	come	VBP
14725	868	42	from	from	IN
14725	868	43	the	the	DT
14725	868	44	point	point	NN
14725	868	45	A.	a.	NN
14725	869	1	And	and	CC
14725	869	2	in	in	IN
14725	869	3	consequence	consequence	NN
14725	869	4	also	also	RB
14725	869	5	those	those	DT
14725	869	6	which	which	WDT
14725	869	7	are	be	VBP
14725	869	8	parallel	parallel	JJ
14725	869	9	within	within	IN
14725	869	10	the	the	DT
14725	869	11	transparent	transparent	JJ
14725	869	12	body	body	NN
14725	869	13	will	will	MD
14725	869	14	be	be	VB
14725	869	15	collected	collect	VBN
14725	869	16	outside	outside	RB
14725	869	17	at	at	IN
14725	869	18	the	the	DT
14725	869	19	point	point	NN
14725	869	20	A.	a.	NN
14725	870	1	Now	now	RB
14725	870	2	it	-PRON-	PRP
14725	870	3	must	must	MD
14725	870	4	be	be	VB
14725	870	5	remarked	remark	VBN
14725	870	6	that	that	IN
14725	870	7	CX	CX	NNP
14725	870	8	and	and	CC
14725	870	9	KS	KS	NNP
14725	870	10	become	become	VBP
14725	870	11	straight	straight	JJ
14725	870	12	lines	line	NNS
14725	870	13	perpendicular	perpendicular	JJ
14725	870	14	to	to	IN
14725	870	15	BA	BA	NNP
14725	870	16	,	,	,
14725	870	17	because	because	IN
14725	870	18	they	-PRON-	PRP
14725	870	19	represent	represent	VBP
14725	870	20	arcs	arc	NNS
14725	870	21	of	of	IN
14725	870	22	circles	circle	NNS
14725	870	23	the	the	DT
14725	870	24	centre	centre	NN
14725	870	25	of	of	IN
14725	870	26	which	which	WDT
14725	870	27	is	be	VBZ
14725	870	28	infinitely	infinitely	RB
14725	870	29	distant	distant	JJ
14725	870	30	.	.	.
14725	871	1	And	and	CC
14725	871	2	the	the	DT
14725	871	3	intersection	intersection	NN
14725	871	4	of	of	IN
14725	871	5	the	the	DT
14725	871	6	perpendicular	perpendicular	JJ
14725	871	7	CX	CX	NNP
14725	871	8	with	with	IN
14725	871	9	the	the	DT
14725	871	10	arc	arc	NN
14725	871	11	FC	FC	NNP
14725	871	12	will	will	MD
14725	871	13	give	give	VB
14725	871	14	the	the	DT
14725	871	15	point	point	NN
14725	871	16	C	c	NN
14725	871	17	,	,	,
14725	871	18	one	one	CD
14725	871	19	of	of	IN
14725	871	20	those	those	DT
14725	871	21	through	through	IN
14725	871	22	which	which	WDT
14725	871	23	the	the	DT
14725	871	24	curve	curve	NN
14725	871	25	ought	ought	MD
14725	871	26	to	to	TO
14725	871	27	pass	pass	VB
14725	871	28	.	.	.
14725	872	1	And	and	CC
14725	872	2	this	this	DT
14725	872	3	operates	operate	VBZ
14725	872	4	so	so	IN
14725	872	5	that	that	IN
14725	872	6	all	all	PDT
14725	872	7	the	the	DT
14725	872	8	parts	part	NNS
14725	872	9	of	of	IN
14725	872	10	the	the	DT
14725	872	11	wave	wave	NN
14725	872	12	of	of	IN
14725	872	13	light	light	JJ
14725	872	14	DN	DN	NNP
14725	872	15	,	,	,
14725	872	16	coming	come	VBG
14725	872	17	to	to	TO
14725	872	18	meet	meet	VB
14725	872	19	the	the	DT
14725	872	20	surface	surface	NN
14725	872	21	KDE	KDE	NNP
14725	872	22	,	,	,
14725	872	23	will	will	MD
14725	872	24	advance	advance	VB
14725	872	25	thence	thence	NN
14725	872	26	along	along	IN
14725	872	27	parallels	parallel	NNS
14725	872	28	to	to	IN
14725	872	29	KS	KS	NNP
14725	872	30	and	and	CC
14725	872	31	will	will	MD
14725	872	32	arrive	arrive	VB
14725	872	33	at	at	IN
14725	872	34	this	this	DT
14725	872	35	straight	straight	JJ
14725	872	36	line	line	NN
14725	872	37	at	at	IN
14725	872	38	the	the	DT
14725	872	39	same	same	JJ
14725	872	40	time	time	NN
14725	872	41	;	;	:
14725	872	42	of	of	IN
14725	872	43	which	which	WDT
14725	872	44	the	the	DT
14725	872	45	proof	proof	NN
14725	872	46	is	be	VBZ
14725	872	47	again	again	RB
14725	872	48	the	the	DT
14725	872	49	same	same	JJ
14725	872	50	as	as	IN
14725	872	51	that	that	DT
14725	872	52	which	which	WDT
14725	872	53	served	serve	VBD
14725	872	54	for	for	IN
14725	872	55	the	the	DT
14725	872	56	first	first	JJ
14725	872	57	oval	oval	NN
14725	872	58	.	.	.
14725	873	1	Besides	besides	IN
14725	873	2	one	one	CD
14725	873	3	finds	find	VBZ
14725	873	4	by	by	IN
14725	873	5	a	a	DT
14725	873	6	calculation	calculation	NN
14725	873	7	as	as	RB
14725	873	8	easy	easy	JJ
14725	873	9	as	as	IN
14725	873	10	the	the	DT
14725	873	11	preceding	precede	VBG
14725	873	12	one	one	CD
14725	873	13	,	,	,
14725	873	14	that	that	IN
14725	873	15	CDE	CDE	NNP
14725	873	16	is	be	VBZ
14725	873	17	here	here	RB
14725	873	18	a	a	DT
14725	873	19	hyperbola	hyperbola	NN
14725	873	20	of	of	IN
14725	873	21	which	which	WDT
14725	873	22	the	the	DT
14725	873	23	axis	axi	NNS
14725	873	24	DO	DO	NNP
14725	873	25	is	be	VBZ
14725	873	26	4/5	4/5	CD
14725	873	27	of	of	IN
14725	873	28	AD	ad	NN
14725	873	29	,	,	,
14725	873	30	and	and	CC
14725	873	31	the	the	DT
14725	873	32	parameter	parameter	NN
14725	873	33	equal	equal	JJ
14725	873	34	to	to	IN
14725	873	35	AD	ad	NN
14725	873	36	.	.	.
14725	874	1	Whence	whence	NN
14725	874	2	it	-PRON-	PRP
14725	874	3	is	be	VBZ
14725	874	4	easily	easily	RB
14725	874	5	proved	prove	VBN
14725	874	6	that	that	IN
14725	874	7	DO	DO	NNP
14725	874	8	is	be	VBZ
14725	874	9	to	to	IN
14725	874	10	the	the	DT
14725	874	11	distance	distance	NN
14725	874	12	between	between	IN
14725	874	13	the	the	DT
14725	874	14	foci	foci	NN
14725	874	15	as	as	IN
14725	874	16	3	3	CD
14725	874	17	to	to	IN
14725	874	18	2	2	CD
14725	874	19	.	.	.
14725	875	1	[	[	-LRB-
14725	875	2	Illustration	illustration	NN
14725	875	3	]	]	-RRB-
14725	875	4	These	these	DT
14725	875	5	are	be	VBP
14725	875	6	the	the	DT
14725	875	7	two	two	CD
14725	875	8	cases	case	NNS
14725	875	9	in	in	IN
14725	875	10	which	which	WDT
14725	875	11	Conic	conic	JJ
14725	875	12	sections	section	NNS
14725	875	13	serve	serve	VBP
14725	875	14	for	for	IN
14725	875	15	refraction	refraction	NN
14725	875	16	,	,	,
14725	875	17	and	and	CC
14725	875	18	are	be	VBP
14725	875	19	the	the	DT
14725	875	20	same	same	JJ
14725	875	21	which	which	WDT
14725	875	22	are	be	VBP
14725	875	23	explained	explain	VBN
14725	875	24	,	,	,
14725	875	25	in	in	IN
14725	875	26	his	-PRON-	PRP$
14725	875	27	_	_	NNP
14725	875	28	Dioptrique	Dioptrique	NNP
14725	875	29	_	_	NNP
14725	875	30	,	,	,
14725	875	31	by	by	IN
14725	875	32	Des	Des	NNP
14725	875	33	Cartes	Cartes	NNP
14725	875	34	,	,	,
14725	875	35	who	who	WP
14725	875	36	first	first	RB
14725	875	37	found	find	VBD
14725	875	38	out	out	RP
14725	875	39	the	the	DT
14725	875	40	use	use	NN
14725	875	41	of	of	IN
14725	875	42	these	these	DT
14725	875	43	lines	line	NNS
14725	875	44	in	in	IN
14725	875	45	relation	relation	NN
14725	875	46	to	to	IN
14725	875	47	refraction	refraction	NN
14725	875	48	,	,	,
14725	875	49	as	as	IN
14725	875	50	also	also	RB
14725	875	51	that	that	DT
14725	875	52	of	of	IN
14725	875	53	the	the	DT
14725	875	54	Ovals	Ovals	NNPS
14725	875	55	the	the	DT
14725	875	56	first	first	JJ
14725	875	57	of	of	IN
14725	875	58	which	which	WDT
14725	875	59	we	-PRON-	PRP
14725	875	60	have	have	VBP
14725	875	61	already	already	RB
14725	875	62	set	set	VBN
14725	875	63	forth	forth	RP
14725	875	64	.	.	.
14725	876	1	The	the	DT
14725	876	2	second	second	JJ
14725	876	3	oval	oval	NN
14725	876	4	is	be	VBZ
14725	876	5	that	that	DT
14725	876	6	which	which	WDT
14725	876	7	serves	serve	VBZ
14725	876	8	for	for	IN
14725	876	9	rays	ray	NNS
14725	876	10	that	that	WDT
14725	876	11	tend	tend	VBP
14725	876	12	to	to	IN
14725	876	13	a	a	DT
14725	876	14	given	give	VBN
14725	876	15	point	point	NN
14725	876	16	;	;	:
14725	876	17	in	in	IN
14725	876	18	which	which	WDT
14725	876	19	oval	oval	NN
14725	876	20	,	,	,
14725	876	21	if	if	IN
14725	876	22	the	the	DT
14725	876	23	apex	apex	NN
14725	876	24	of	of	IN
14725	876	25	the	the	DT
14725	876	26	surface	surface	NN
14725	876	27	which	which	WDT
14725	876	28	receives	receive	VBZ
14725	876	29	the	the	DT
14725	876	30	rays	ray	NNS
14725	876	31	is	be	VBZ
14725	876	32	D	d	NN
14725	876	33	,	,	,
14725	876	34	it	-PRON-	PRP
14725	876	35	will	will	MD
14725	876	36	happen	happen	VB
14725	876	37	that	that	IN
14725	876	38	the	the	DT
14725	876	39	other	other	JJ
14725	876	40	apex	apex	NN
14725	876	41	will	will	MD
14725	876	42	be	be	VB
14725	876	43	situated	situate	VBN
14725	876	44	between	between	IN
14725	876	45	B	B	NNP
14725	876	46	and	and	CC
14725	876	47	A	A	NNP
14725	876	48	,	,	,
14725	876	49	or	or	CC
14725	876	50	beyond	beyond	IN
14725	876	51	A	a	NN
14725	876	52	,	,	,
14725	876	53	according	accord	VBG
14725	876	54	as	as	IN
14725	876	55	the	the	DT
14725	876	56	ratio	ratio	NN
14725	876	57	of	of	IN
14725	876	58	AD	ad	NN
14725	876	59	to	to	IN
14725	876	60	DB	DB	NNP
14725	876	61	is	be	VBZ
14725	876	62	given	give	VBN
14725	876	63	of	of	IN
14725	876	64	greater	great	JJR
14725	876	65	or	or	CC
14725	876	66	lesser	less	JJR
14725	876	67	value	value	NN
14725	876	68	.	.	.
14725	877	1	And	and	CC
14725	877	2	in	in	IN
14725	877	3	this	this	DT
14725	877	4	latter	latter	JJ
14725	877	5	case	case	NN
14725	877	6	it	-PRON-	PRP
14725	877	7	is	be	VBZ
14725	877	8	the	the	DT
14725	877	9	same	same	JJ
14725	877	10	as	as	IN
14725	877	11	that	that	DT
14725	877	12	which	which	WDT
14725	877	13	Des	Des	NNP
14725	877	14	Cartes	Cartes	NNP
14725	877	15	calls	call	VBZ
14725	877	16	his	-PRON-	PRP$
14725	877	17	3rd	3rd	JJ
14725	877	18	oval	oval	NN
14725	877	19	.	.	.
14725	878	1	Now	now	RB
14725	878	2	the	the	DT
14725	878	3	finding	finding	NN
14725	878	4	and	and	CC
14725	878	5	construction	construction	NN
14725	878	6	of	of	IN
14725	878	7	this	this	DT
14725	878	8	second	second	JJ
14725	878	9	oval	oval	NN
14725	878	10	is	be	VBZ
14725	878	11	the	the	DT
14725	878	12	same	same	JJ
14725	878	13	as	as	IN
14725	878	14	that	that	DT
14725	878	15	of	of	IN
14725	878	16	the	the	DT
14725	878	17	first	first	JJ
14725	878	18	,	,	,
14725	878	19	and	and	CC
14725	878	20	the	the	DT
14725	878	21	demonstration	demonstration	NN
14725	878	22	of	of	IN
14725	878	23	its	-PRON-	PRP$
14725	878	24	effect	effect	NN
14725	878	25	likewise	likewise	RB
14725	878	26	.	.	.
14725	879	1	But	but	CC
14725	879	2	it	-PRON-	PRP
14725	879	3	is	be	VBZ
14725	879	4	worthy	worthy	JJ
14725	879	5	of	of	IN
14725	879	6	remark	remark	NN
14725	879	7	that	that	IN
14725	879	8	in	in	IN
14725	879	9	one	one	CD
14725	879	10	case	case	NN
14725	879	11	this	this	DT
14725	879	12	oval	oval	NN
14725	879	13	becomes	become	VBZ
14725	879	14	a	a	DT
14725	879	15	perfect	perfect	JJ
14725	879	16	circle	circle	NN
14725	879	17	,	,	,
14725	879	18	namely	namely	RB
14725	879	19	when	when	WRB
14725	879	20	the	the	DT
14725	879	21	ratio	ratio	NN
14725	879	22	of	of	IN
14725	879	23	AD	ad	NN
14725	879	24	to	to	IN
14725	879	25	DB	DB	NNP
14725	879	26	is	be	VBZ
14725	879	27	the	the	DT
14725	879	28	same	same	JJ
14725	879	29	as	as	IN
14725	879	30	the	the	DT
14725	879	31	ratio	ratio	NN
14725	879	32	of	of	IN
14725	879	33	the	the	DT
14725	879	34	refractions	refraction	NNS
14725	879	35	,	,	,
14725	879	36	here	here	RB
14725	879	37	as	as	IN
14725	879	38	3	3	CD
14725	879	39	to	to	IN
14725	879	40	2	2	CD
14725	879	41	,	,	,
14725	879	42	as	as	IN
14725	879	43	I	-PRON-	PRP
14725	879	44	observed	observe	VBD
14725	879	45	a	a	DT
14725	879	46	long	long	JJ
14725	879	47	time	time	NN
14725	879	48	ago	ago	RB
14725	879	49	.	.	.
14725	880	1	The	the	DT
14725	880	2	4th	4th	JJ
14725	880	3	oval	oval	NN
14725	880	4	,	,	,
14725	880	5	serving	serve	VBG
14725	880	6	only	only	RB
14725	880	7	for	for	IN
14725	880	8	impossible	impossible	JJ
14725	880	9	reflexions	reflexion	NNS
14725	880	10	,	,	,
14725	880	11	there	there	EX
14725	880	12	is	be	VBZ
14725	880	13	no	no	DT
14725	880	14	need	need	NN
14725	880	15	to	to	TO
14725	880	16	set	set	VB
14725	880	17	it	-PRON-	PRP
14725	880	18	forth	forth	RB
14725	880	19	.	.	.
14725	881	1	[	[	-LRB-
14725	881	2	Illustration	illustration	NN
14725	881	3	]	]	-RRB-
14725	881	4	As	as	IN
14725	881	5	for	for	IN
14725	881	6	the	the	DT
14725	881	7	manner	manner	NN
14725	881	8	in	in	IN
14725	881	9	which	which	WDT
14725	881	10	Mr.	Mr.	NNP
14725	881	11	Des	Des	NNP
14725	881	12	Cartes	Cartes	NNP
14725	881	13	discovered	discover	VBD
14725	881	14	these	these	DT
14725	881	15	lines	line	NNS
14725	881	16	,	,	,
14725	881	17	since	since	IN
14725	881	18	he	-PRON-	PRP
14725	881	19	has	have	VBZ
14725	881	20	given	give	VBN
14725	881	21	no	no	DT
14725	881	22	explanation	explanation	NN
14725	881	23	of	of	IN
14725	881	24	it	-PRON-	PRP
14725	881	25	,	,	,
14725	881	26	nor	nor	CC
14725	881	27	any	any	DT
14725	881	28	one	one	NN
14725	881	29	else	else	RB
14725	881	30	since	since	IN
14725	881	31	that	that	DT
14725	881	32	I	-PRON-	PRP
14725	881	33	know	know	VBP
14725	881	34	of	of	IN
14725	881	35	,	,	,
14725	881	36	I	-PRON-	PRP
14725	881	37	will	will	MD
14725	881	38	say	say	VB
14725	881	39	here	here	RB
14725	881	40	,	,	,
14725	881	41	in	in	IN
14725	881	42	passing	pass	VBG
14725	881	43	,	,	,
14725	881	44	what	what	WP
14725	881	45	it	-PRON-	PRP
14725	881	46	seems	seem	VBZ
14725	881	47	to	to	IN
14725	881	48	me	-PRON-	PRP
14725	881	49	it	-PRON-	PRP
14725	881	50	must	must	MD
14725	881	51	have	have	VB
14725	881	52	been	be	VBN
14725	881	53	.	.	.
14725	882	1	Let	let	VB
14725	882	2	it	-PRON-	PRP
14725	882	3	be	be	VB
14725	882	4	proposed	propose	VBN
14725	882	5	to	to	TO
14725	882	6	find	find	VB
14725	882	7	the	the	DT
14725	882	8	surface	surface	NN
14725	882	9	generated	generate	VBN
14725	882	10	by	by	IN
14725	882	11	the	the	DT
14725	882	12	revolution	revolution	NN
14725	882	13	of	of	IN
14725	882	14	the	the	DT
14725	882	15	curve	curve	NN
14725	882	16	KDE	KDE	NNP
14725	882	17	,	,	,
14725	882	18	which	which	WDT
14725	882	19	,	,	,
14725	882	20	receiving	receive	VBG
14725	882	21	the	the	DT
14725	882	22	incident	incident	NN
14725	882	23	rays	ray	NNS
14725	882	24	coming	come	VBG
14725	882	25	to	to	IN
14725	882	26	it	-PRON-	PRP
14725	882	27	from	from	IN
14725	882	28	the	the	DT
14725	882	29	point	point	NN
14725	882	30	A	A	NNP
14725	882	31	,	,	,
14725	882	32	shall	shall	MD
14725	882	33	deviate	deviate	VB
14725	882	34	them	-PRON-	PRP
14725	882	35	toward	toward	IN
14725	882	36	the	the	DT
14725	882	37	point	point	NN
14725	882	38	B.	B.	NNP
14725	883	1	Then	then	RB
14725	883	2	considering	consider	VBG
14725	883	3	this	this	DT
14725	883	4	other	other	JJ
14725	883	5	curve	curve	NN
14725	883	6	as	as	IN
14725	883	7	already	already	RB
14725	883	8	known	know	VBN
14725	883	9	,	,	,
14725	883	10	and	and	CC
14725	883	11	that	that	IN
14725	883	12	its	-PRON-	PRP$
14725	883	13	apex	apex	NN
14725	883	14	D	d	NN
14725	883	15	is	be	VBZ
14725	883	16	in	in	IN
14725	883	17	the	the	DT
14725	883	18	straight	straight	JJ
14725	883	19	line	line	NN
14725	883	20	AB	AB	NNP
14725	883	21	,	,	,
14725	883	22	let	let	VB
14725	883	23	us	-PRON-	PRP
14725	883	24	divide	divide	VB
14725	883	25	it	-PRON-	PRP
14725	883	26	up	up	RP
14725	883	27	into	into	IN
14725	883	28	an	an	DT
14725	883	29	infinitude	infinitude	NN
14725	883	30	of	of	IN
14725	883	31	small	small	JJ
14725	883	32	pieces	piece	NNS
14725	883	33	by	by	IN
14725	883	34	the	the	DT
14725	883	35	points	point	NNS
14725	883	36	G	G	NNP
14725	883	37	,	,	,
14725	883	38	C	C	NNP
14725	883	39	,	,	,
14725	883	40	F	F	NNP
14725	883	41	;	;	:
14725	883	42	and	and	CC
14725	883	43	having	have	VBG
14725	883	44	drawn	draw	VBN
14725	883	45	from	from	IN
14725	883	46	each	each	DT
14725	883	47	of	of	IN
14725	883	48	these	these	DT
14725	883	49	points	point	NNS
14725	883	50	,	,	,
14725	883	51	straight	straight	JJ
14725	883	52	lines	line	NNS
14725	883	53	towards	towards	IN
14725	883	54	A	a	DT
14725	883	55	to	to	TO
14725	883	56	represent	represent	VB
14725	883	57	the	the	DT
14725	883	58	incident	incident	NN
14725	883	59	rays	ray	NNS
14725	883	60	,	,	,
14725	883	61	and	and	CC
14725	883	62	other	other	JJ
14725	883	63	straight	straight	JJ
14725	883	64	lines	line	NNS
14725	883	65	towards	towards	IN
14725	883	66	B	b	NN
14725	883	67	,	,	,
14725	883	68	let	let	VB
14725	883	69	there	there	EX
14725	883	70	also	also	RB
14725	883	71	be	be	VB
14725	883	72	described	describe	VBN
14725	883	73	with	with	IN
14725	883	74	centre	centre	NN
14725	883	75	A	a	DT
14725	883	76	the	the	DT
14725	883	77	arcs	arcs	NN
14725	883	78	GL	GL	NNP
14725	883	79	,	,	,
14725	883	80	CM	CM	NNP
14725	883	81	,	,	,
14725	883	82	FN	FN	NNP
14725	883	83	,	,	,
14725	883	84	DO	DO	NNP
14725	883	85	,	,	,
14725	883	86	cutting	cut	VBG
14725	883	87	the	the	DT
14725	883	88	rays	ray	NNS
14725	883	89	that	that	WDT
14725	883	90	come	come	VBP
14725	883	91	from	from	IN
14725	883	92	A	a	DT
14725	883	93	at	at	IN
14725	883	94	L	l	NN
14725	883	95	,	,	,
14725	883	96	M	M	NNP
14725	883	97	,	,	,
14725	883	98	N	N	NNP
14725	883	99	,	,	,
14725	883	100	O	o	UH
14725	883	101	;	;	:
14725	883	102	and	and	CC
14725	883	103	from	from	IN
14725	883	104	the	the	DT
14725	883	105	points	point	NNS
14725	883	106	K	K	NNP
14725	883	107	,	,	,
14725	883	108	G	G	NNP
14725	883	109	,	,	,
14725	883	110	C	C	NNP
14725	883	111	,	,	,
14725	883	112	F	F	NNP
14725	883	113	,	,	,
14725	883	114	let	let	VB
14725	883	115	there	there	EX
14725	883	116	be	be	VB
14725	883	117	described	describe	VBN
14725	883	118	the	the	DT
14725	883	119	arcs	arcs	JJ
14725	883	120	KQ	KQ	NNP
14725	883	121	,	,	,
14725	883	122	GR	GR	NNP
14725	883	123	,	,	,
14725	883	124	CS	CS	NNP
14725	883	125	,	,	,
14725	883	126	FT	FT	NNP
14725	883	127	cutting	cut	VBG
14725	883	128	the	the	DT
14725	883	129	rays	ray	NNS
14725	883	130	towards	towards	IN
14725	883	131	B	b	NN
14725	883	132	at	at	IN
14725	883	133	Q	Q	NNP
14725	883	134	,	,	,
14725	883	135	R	R	NNP
14725	883	136	,	,	,
14725	883	137	S	S	NNP
14725	883	138	,	,	,
14725	883	139	T	T	NNP
14725	883	140	;	;	:
14725	883	141	and	and	CC
14725	883	142	let	let	VB
14725	883	143	us	-PRON-	PRP
14725	883	144	suppose	suppose	VB
14725	883	145	that	that	IN
14725	883	146	the	the	DT
14725	883	147	straight	straight	JJ
14725	883	148	line	line	NN
14725	883	149	HKZ	HKZ	NNP
14725	883	150	cuts	cut	VBZ
14725	883	151	the	the	DT
14725	883	152	curve	curve	NN
14725	883	153	at	at	IN
14725	883	154	K	K	NNP
14725	883	155	at	at	IN
14725	883	156	right	right	NN
14725	883	157	-	-	HYPH
14725	883	158	angles	angle	NNS
14725	883	159	.	.	.
14725	884	1	[	[	-LRB-
14725	884	2	Illustration	illustration	NN
14725	884	3	]	]	-RRB-
14725	884	4	Then	then	RB
14725	884	5	AK	AK	NNP
14725	884	6	being	be	VBG
14725	884	7	an	an	DT
14725	884	8	incident	incident	NN
14725	884	9	ray	ray	NN
14725	884	10	,	,	,
14725	884	11	and	and	CC
14725	884	12	KB	KB	NNP
14725	884	13	its	-PRON-	PRP$
14725	884	14	refraction	refraction	NN
14725	884	15	within	within	IN
14725	884	16	the	the	DT
14725	884	17	medium	medium	NN
14725	884	18	,	,	,
14725	884	19	it	-PRON-	PRP
14725	884	20	needs	need	VBZ
14725	884	21	must	must	MD
14725	884	22	be	be	VB
14725	884	23	,	,	,
14725	884	24	according	accord	VBG
14725	884	25	to	to	IN
14725	884	26	the	the	DT
14725	884	27	law	law	NN
14725	884	28	of	of	IN
14725	884	29	refraction	refraction	NN
14725	884	30	which	which	WDT
14725	884	31	was	be	VBD
14725	884	32	known	know	VBN
14725	884	33	to	to	IN
14725	884	34	Mr.	Mr.	NNP
14725	884	35	Des	Des	NNP
14725	884	36	Cartes	Cartes	NNP
14725	884	37	,	,	,
14725	884	38	that	that	IN
14725	884	39	the	the	DT
14725	884	40	sine	sine	NN
14725	884	41	of	of	IN
14725	884	42	the	the	DT
14725	884	43	angle	angle	NN
14725	884	44	ZKA	zka	NN
14725	884	45	should	should	MD
14725	884	46	be	be	VB
14725	884	47	to	to	IN
14725	884	48	the	the	DT
14725	884	49	sine	sine	NN
14725	884	50	of	of	IN
14725	884	51	the	the	DT
14725	884	52	angle	angle	NN
14725	884	53	HKB	HKB	NNP
14725	884	54	as	as	IN
14725	884	55	3	3	CD
14725	884	56	to	to	IN
14725	884	57	2	2	CD
14725	884	58	,	,	,
14725	884	59	supposing	suppose	VBG
14725	884	60	that	that	IN
14725	884	61	this	this	DT
14725	884	62	is	be	VBZ
14725	884	63	the	the	DT
14725	884	64	proportion	proportion	NN
14725	884	65	of	of	IN
14725	884	66	the	the	DT
14725	884	67	refraction	refraction	NN
14725	884	68	of	of	IN
14725	884	69	glass	glass	NN
14725	884	70	;	;	:
14725	884	71	or	or	CC
14725	884	72	rather	rather	RB
14725	884	73	,	,	,
14725	884	74	that	that	IN
14725	884	75	the	the	DT
14725	884	76	sine	sine	NN
14725	884	77	of	of	IN
14725	884	78	the	the	DT
14725	884	79	angle	angle	NN
14725	884	80	KGL	KGL	NNP
14725	884	81	should	should	MD
14725	884	82	have	have	VB
14725	884	83	this	this	DT
14725	884	84	same	same	JJ
14725	884	85	ratio	ratio	NN
14725	884	86	to	to	IN
14725	884	87	the	the	DT
14725	884	88	sine	sine	NN
14725	884	89	of	of	IN
14725	884	90	the	the	DT
14725	884	91	angle	angle	NN
14725	884	92	GKQ	GKQ	NNP
14725	884	93	,	,	,
14725	884	94	considering	consider	VBG
14725	884	95	KG	KG	NNP
14725	884	96	,	,	,
14725	884	97	GL	GL	NNP
14725	884	98	,	,	,
14725	884	99	KQ	KQ	NNP
14725	884	100	as	as	IN
14725	884	101	straight	straight	JJ
14725	884	102	lines	line	NNS
14725	884	103	because	because	IN
14725	884	104	of	of	IN
14725	884	105	their	-PRON-	PRP$
14725	884	106	smallness	smallness	NN
14725	884	107	.	.	.
14725	885	1	But	but	CC
14725	885	2	these	these	DT
14725	885	3	sines	sine	NNS
14725	885	4	are	be	VBP
14725	885	5	the	the	DT
14725	885	6	lines	line	NNS
14725	885	7	KL	KL	NNP
14725	885	8	and	and	CC
14725	885	9	GQ	GQ	NNP
14725	885	10	,	,	,
14725	885	11	if	if	IN
14725	885	12	GK	GK	NNP
14725	885	13	is	be	VBZ
14725	885	14	taken	take	VBN
14725	885	15	as	as	IN
14725	885	16	the	the	DT
14725	885	17	radius	radius	NN
14725	885	18	of	of	IN
14725	885	19	the	the	DT
14725	885	20	circle	circle	NN
14725	885	21	.	.	.
14725	886	1	Then	then	RB
14725	886	2	LK	LK	NNP
14725	886	3	ought	ought	MD
14725	886	4	to	to	TO
14725	886	5	be	be	VB
14725	886	6	to	to	IN
14725	886	7	GQ	GQ	NNP
14725	886	8	as	as	IN
14725	886	9	3	3	CD
14725	886	10	to	to	IN
14725	886	11	2	2	CD
14725	886	12	;	;	:
14725	886	13	and	and	CC
14725	886	14	in	in	IN
14725	886	15	the	the	DT
14725	886	16	same	same	JJ
14725	886	17	ratio	ratio	NN
14725	886	18	MG	MG	NNP
14725	886	19	to	to	IN
14725	886	20	CR	CR	NNP
14725	886	21	,	,	,
14725	886	22	NC	NC	NNP
14725	886	23	to	to	IN
14725	886	24	FS	FS	NNP
14725	886	25	,	,	,
14725	886	26	OF	of	IN
14725	886	27	to	to	IN
14725	886	28	DT	DT	NNP
14725	886	29	.	.	.
14725	887	1	Then	then	RB
14725	887	2	also	also	RB
14725	887	3	the	the	DT
14725	887	4	sum	sum	NN
14725	887	5	of	of	IN
14725	887	6	all	all	PDT
14725	887	7	the	the	DT
14725	887	8	antecedents	antecedent	NNS
14725	887	9	to	to	IN
14725	887	10	all	all	PDT
14725	887	11	the	the	DT
14725	887	12	consequents	consequent	NNS
14725	887	13	would	would	MD
14725	887	14	be	be	VB
14725	887	15	as	as	IN
14725	887	16	3	3	CD
14725	887	17	to	to	IN
14725	887	18	2	2	CD
14725	887	19	.	.	.
14725	888	1	Now	now	RB
14725	888	2	by	by	IN
14725	888	3	prolonging	prolong	VBG
14725	888	4	the	the	DT
14725	888	5	arc	arc	NN
14725	888	6	DO	DO	NNP
14725	888	7	until	until	IN
14725	888	8	it	-PRON-	PRP
14725	888	9	meets	meet	VBZ
14725	888	10	AK	AK	NNP
14725	888	11	at	at	IN
14725	888	12	X	X	NNP
14725	888	13	,	,	,
14725	888	14	KX	KX	NNP
14725	888	15	is	be	VBZ
14725	888	16	the	the	DT
14725	888	17	sum	sum	NN
14725	888	18	of	of	IN
14725	888	19	the	the	DT
14725	888	20	antecedents	antecedent	NNS
14725	888	21	.	.	.
14725	889	1	And	and	CC
14725	889	2	by	by	IN
14725	889	3	prolonging	prolong	VBG
14725	889	4	the	the	DT
14725	889	5	arc	arc	NN
14725	889	6	KQ	KQ	NNP
14725	889	7	till	till	IN
14725	889	8	it	-PRON-	PRP
14725	889	9	meets	meet	VBZ
14725	889	10	AD	ad	NN
14725	889	11	at	at	IN
14725	889	12	Y	Y	NNP
14725	889	13	,	,	,
14725	889	14	the	the	DT
14725	889	15	sum	sum	NN
14725	889	16	of	of	IN
14725	889	17	the	the	DT
14725	889	18	consequents	consequent	NNS
14725	889	19	is	be	VBZ
14725	889	20	DY	DY	NNP
14725	889	21	.	.	.
14725	890	1	Then	then	RB
14725	890	2	KX	KX	NNP
14725	890	3	ought	ought	MD
14725	890	4	to	to	TO
14725	890	5	be	be	VB
14725	890	6	to	to	IN
14725	890	7	DY	DY	NNP
14725	890	8	as	as	IN
14725	890	9	3	3	CD
14725	890	10	to	to	IN
14725	890	11	2	2	CD
14725	890	12	.	.	.
14725	891	1	Whence	whence	NN
14725	891	2	it	-PRON-	PRP
14725	891	3	would	would	MD
14725	891	4	appear	appear	VB
14725	891	5	that	that	IN
14725	891	6	the	the	DT
14725	891	7	curve	curve	NN
14725	891	8	KDE	KDE	NNP
14725	891	9	was	be	VBD
14725	891	10	of	of	IN
14725	891	11	such	such	PDT
14725	891	12	a	a	DT
14725	891	13	nature	nature	NN
14725	891	14	that	that	WDT
14725	891	15	having	have	VBG
14725	891	16	drawn	draw	VBN
14725	891	17	from	from	IN
14725	891	18	some	some	DT
14725	891	19	point	point	NN
14725	891	20	which	which	WDT
14725	891	21	had	have	VBD
14725	891	22	been	be	VBN
14725	891	23	assumed	assume	VBN
14725	891	24	,	,	,
14725	891	25	such	such	JJ
14725	891	26	as	as	IN
14725	891	27	K	K	NNP
14725	891	28	,	,	,
14725	891	29	the	the	DT
14725	891	30	straight	straight	JJ
14725	891	31	lines	line	NNS
14725	891	32	KA	KA	NNP
14725	891	33	,	,	,
14725	891	34	KB	KB	NNP
14725	891	35	,	,	,
14725	891	36	the	the	DT
14725	891	37	excess	excess	NN
14725	891	38	by	by	IN
14725	891	39	which	which	WDT
14725	891	40	AK	AK	NNP
14725	891	41	surpasses	surpass	VBZ
14725	891	42	AD	ad	NN
14725	891	43	should	should	MD
14725	891	44	be	be	VB
14725	891	45	to	to	IN
14725	891	46	the	the	DT
14725	891	47	excess	excess	NN
14725	891	48	of	of	IN
14725	891	49	DB	DB	NNP
14725	891	50	over	over	IN
14725	891	51	KB	KB	NNP
14725	891	52	,	,	,
14725	891	53	as	as	IN
14725	891	54	3	3	CD
14725	891	55	to	to	IN
14725	891	56	2	2	CD
14725	891	57	.	.	.
14725	892	1	For	for	IN
14725	892	2	it	-PRON-	PRP
14725	892	3	can	can	MD
14725	892	4	similarly	similarly	RB
14725	892	5	be	be	VB
14725	892	6	demonstrated	demonstrate	VBN
14725	892	7	,	,	,
14725	892	8	by	by	IN
14725	892	9	taking	take	VBG
14725	892	10	any	any	DT
14725	892	11	other	other	JJ
14725	892	12	point	point	NN
14725	892	13	in	in	IN
14725	892	14	the	the	DT
14725	892	15	curve	curve	NN
14725	892	16	,	,	,
14725	892	17	such	such	JJ
14725	892	18	as	as	IN
14725	892	19	G	G	NNP
14725	892	20	,	,	,
14725	892	21	that	that	IN
14725	892	22	the	the	DT
14725	892	23	excess	excess	NN
14725	892	24	of	of	IN
14725	892	25	AG	AG	NNP
14725	892	26	over	over	IN
14725	892	27	AD	ad	NN
14725	892	28	,	,	,
14725	892	29	namely	namely	RB
14725	892	30	VG	VG	NNP
14725	892	31	,	,	,
14725	892	32	is	be	VBZ
14725	892	33	to	to	IN
14725	892	34	the	the	DT
14725	892	35	excess	excess	NN
14725	892	36	of	of	IN
14725	892	37	BD	BD	NNP
14725	892	38	over	over	IN
14725	892	39	DG	DG	NNP
14725	892	40	,	,	,
14725	892	41	namely	namely	RB
14725	892	42	DP	DP	NNP
14725	892	43	,	,	,
14725	892	44	in	in	IN
14725	892	45	this	this	DT
14725	892	46	same	same	JJ
14725	892	47	ratio	ratio	NN
14725	892	48	of	of	IN
14725	892	49	3	3	CD
14725	892	50	to	to	IN
14725	892	51	2	2	CD
14725	892	52	.	.	.
14725	893	1	And	and	CC
14725	893	2	following	follow	VBG
14725	893	3	this	this	DT
14725	893	4	principle	principle	JJ
14725	893	5	Mr.	Mr.	NNP
14725	893	6	Des	Des	NNP
14725	893	7	Cartes	Cartes	NNP
14725	893	8	constructed	construct	VBD
14725	893	9	these	these	DT
14725	893	10	curves	curve	NNS
14725	893	11	in	in	IN
14725	893	12	his	-PRON-	PRP$
14725	893	13	_	_	NNP
14725	893	14	Geometric	Geometric	NNP
14725	893	15	_	_	NNP
14725	893	16	;	;	:
14725	893	17	and	and	CC
14725	893	18	he	-PRON-	PRP
14725	893	19	easily	easily	RB
14725	893	20	recognized	recognize	VBD
14725	893	21	that	that	IN
14725	893	22	in	in	IN
14725	893	23	the	the	DT
14725	893	24	case	case	NN
14725	893	25	of	of	IN
14725	893	26	parallel	parallel	JJ
14725	893	27	rays	ray	NNS
14725	893	28	,	,	,
14725	893	29	these	these	DT
14725	893	30	curves	curve	NNS
14725	893	31	became	become	VBD
14725	893	32	Hyperbolas	Hyperbolas	NNP
14725	893	33	and	and	CC
14725	893	34	Ellipses	Ellipses	NNP
14725	893	35	.	.	.
14725	894	1	Let	let	VB
14725	894	2	us	-PRON-	PRP
14725	894	3	now	now	RB
14725	894	4	return	return	VB
14725	894	5	to	to	IN
14725	894	6	our	-PRON-	PRP$
14725	894	7	method	method	NN
14725	894	8	and	and	CC
14725	894	9	let	let	VB
14725	894	10	us	-PRON-	PRP
14725	894	11	see	see	VB
14725	894	12	how	how	WRB
14725	894	13	it	-PRON-	PRP
14725	894	14	leads	lead	VBZ
14725	894	15	without	without	IN
14725	894	16	difficulty	difficulty	NN
14725	894	17	to	to	IN
14725	894	18	the	the	DT
14725	894	19	finding	finding	NN
14725	894	20	of	of	IN
14725	894	21	the	the	DT
14725	894	22	curves	curve	NNS
14725	894	23	which	which	WDT
14725	894	24	one	one	CD
14725	894	25	side	side	NN
14725	894	26	of	of	IN
14725	894	27	the	the	DT
14725	894	28	glass	glass	NN
14725	894	29	requires	require	VBZ
14725	894	30	when	when	WRB
14725	894	31	the	the	DT
14725	894	32	other	other	JJ
14725	894	33	side	side	NN
14725	894	34	is	be	VBZ
14725	894	35	of	of	IN
14725	894	36	a	a	DT
14725	894	37	given	give	VBN
14725	894	38	figure	figure	NN
14725	894	39	;	;	:
14725	894	40	a	a	DT
14725	894	41	figure	figure	NN
14725	894	42	not	not	RB
14725	894	43	only	only	RB
14725	894	44	plane	plane	NN
14725	894	45	or	or	CC
14725	894	46	spherical	spherical	JJ
14725	894	47	,	,	,
14725	894	48	or	or	CC
14725	894	49	made	make	VBN
14725	894	50	by	by	IN
14725	894	51	one	one	CD
14725	894	52	of	of	IN
14725	894	53	the	the	DT
14725	894	54	conic	conic	JJ
14725	894	55	sections	section	NNS
14725	894	56	(	(	-LRB-
14725	894	57	which	which	WDT
14725	894	58	is	be	VBZ
14725	894	59	the	the	DT
14725	894	60	restriction	restriction	NN
14725	894	61	with	with	IN
14725	894	62	which	which	WDT
14725	894	63	Des	Des	NNP
14725	894	64	Cartes	Cartes	NNP
14725	894	65	proposed	propose	VBD
14725	894	66	this	this	DT
14725	894	67	problem	problem	NN
14725	894	68	,	,	,
14725	894	69	leaving	leave	VBG
14725	894	70	the	the	DT
14725	894	71	solution	solution	NN
14725	894	72	to	to	IN
14725	894	73	those	those	DT
14725	894	74	who	who	WP
14725	894	75	should	should	MD
14725	894	76	come	come	VB
14725	894	77	after	after	IN
14725	894	78	him	-PRON-	PRP
14725	894	79	)	)	-RRB-
14725	894	80	but	but	CC
14725	894	81	generally	generally	RB
14725	894	82	any	any	DT
14725	894	83	figure	figure	NN
14725	894	84	whatever	whatever	WDT
14725	894	85	:	:	:
14725	894	86	that	that	DT
14725	894	87	is	be	VBZ
14725	894	88	to	to	TO
14725	894	89	say	say	VB
14725	894	90	,	,	,
14725	894	91	one	one	CD
14725	894	92	made	make	VBN
14725	894	93	by	by	IN
14725	894	94	the	the	DT
14725	894	95	revolution	revolution	NN
14725	894	96	of	of	IN
14725	894	97	any	any	DT
14725	894	98	given	give	VBN
14725	894	99	curved	curved	JJ
14725	894	100	line	line	NN
14725	894	101	to	to	TO
14725	894	102	which	which	WDT
14725	894	103	one	one	PRP
14725	894	104	must	must	MD
14725	894	105	merely	merely	RB
14725	894	106	know	know	VB
14725	894	107	how	how	WRB
14725	894	108	to	to	TO
14725	894	109	draw	draw	VB
14725	894	110	straight	straight	JJ
14725	894	111	lines	line	NNS
14725	894	112	as	as	IN
14725	894	113	tangents	tangent	NNS
14725	894	114	.	.	.
14725	895	1	Let	let	VB
14725	895	2	the	the	DT
14725	895	3	given	give	VBN
14725	895	4	figure	figure	NN
14725	895	5	be	be	VB
14725	895	6	that	that	WDT
14725	895	7	made	make	VBN
14725	895	8	by	by	IN
14725	895	9	the	the	DT
14725	895	10	revolution	revolution	NN
14725	895	11	of	of	IN
14725	895	12	some	some	DT
14725	895	13	curve	curve	NN
14725	895	14	such	such	JJ
14725	895	15	as	as	IN
14725	895	16	AK	AK	NNP
14725	895	17	about	about	IN
14725	895	18	the	the	DT
14725	895	19	axis	axis	JJ
14725	895	20	AV	av	NN
14725	895	21	,	,	,
14725	895	22	and	and	CC
14725	895	23	that	that	IN
14725	895	24	this	this	DT
14725	895	25	side	side	NN
14725	895	26	of	of	IN
14725	895	27	the	the	DT
14725	895	28	glass	glass	NN
14725	895	29	receives	receive	VBZ
14725	895	30	rays	ray	NNS
14725	895	31	coming	come	VBG
14725	895	32	from	from	IN
14725	895	33	the	the	DT
14725	895	34	point	point	NN
14725	895	35	L.	L.	NNP
14725	895	36	Furthermore	Furthermore	NNP
14725	895	37	,	,	,
14725	895	38	let	let	VB
14725	895	39	the	the	DT
14725	895	40	thickness	thickness	NN
14725	895	41	AB	ab	NN
14725	895	42	of	of	IN
14725	895	43	the	the	DT
14725	895	44	middle	middle	NN
14725	895	45	of	of	IN
14725	895	46	the	the	DT
14725	895	47	glass	glass	NN
14725	895	48	be	be	VB
14725	895	49	given	give	VBN
14725	895	50	,	,	,
14725	895	51	and	and	CC
14725	895	52	the	the	DT
14725	895	53	point	point	NN
14725	895	54	F	F	NNP
14725	895	55	at	at	IN
14725	895	56	which	which	WDT
14725	895	57	one	one	NN
14725	895	58	desires	desire	VBZ
14725	895	59	the	the	DT
14725	895	60	rays	ray	NNS
14725	895	61	to	to	TO
14725	895	62	be	be	VB
14725	895	63	all	all	DT
14725	895	64	perfectly	perfectly	RB
14725	895	65	reunited	reunite	VBN
14725	895	66	,	,	,
14725	895	67	whatever	whatever	WDT
14725	895	68	be	be	VB
14725	895	69	the	the	DT
14725	895	70	first	first	JJ
14725	895	71	refraction	refraction	NN
14725	895	72	occurring	occur	VBG
14725	895	73	at	at	IN
14725	895	74	the	the	DT
14725	895	75	surface	surface	NN
14725	895	76	AK	AK	NNP
14725	895	77	.	.	.
14725	896	1	I	-PRON-	PRP
14725	896	2	say	say	VBP
14725	896	3	that	that	IN
14725	896	4	for	for	IN
14725	896	5	this	this	DT
14725	896	6	the	the	DT
14725	896	7	sole	sole	JJ
14725	896	8	requirement	requirement	NN
14725	896	9	is	be	VBZ
14725	896	10	that	that	IN
14725	896	11	the	the	DT
14725	896	12	outline	outline	NN
14725	896	13	BDK	BDK	NNP
14725	896	14	which	which	WDT
14725	896	15	constitutes	constitute	VBZ
14725	896	16	the	the	DT
14725	896	17	other	other	JJ
14725	896	18	surface	surface	NN
14725	896	19	shall	shall	MD
14725	896	20	be	be	VB
14725	896	21	such	such	JJ
14725	896	22	that	that	IN
14725	896	23	the	the	DT
14725	896	24	path	path	NN
14725	896	25	of	of	IN
14725	896	26	the	the	DT
14725	896	27	light	light	NN
14725	896	28	from	from	IN
14725	896	29	the	the	DT
14725	896	30	point	point	NN
14725	896	31	L	l	NN
14725	896	32	to	to	IN
14725	896	33	the	the	DT
14725	896	34	surface	surface	NN
14725	896	35	AK	AK	NNP
14725	896	36	,	,	,
14725	896	37	and	and	CC
14725	896	38	from	from	IN
14725	896	39	thence	thence	NN
14725	896	40	to	to	IN
14725	896	41	the	the	DT
14725	896	42	surface	surface	NN
14725	896	43	BDK	bdk	NN
14725	896	44	,	,	,
14725	896	45	and	and	CC
14725	896	46	from	from	IN
14725	896	47	thence	thence	NN
14725	896	48	to	to	IN
14725	896	49	the	the	DT
14725	896	50	point	point	NN
14725	896	51	F	F	NNP
14725	896	52	,	,	,
14725	896	53	shall	shall	MD
14725	896	54	be	be	VB
14725	896	55	traversed	traverse	VBN
14725	896	56	everywhere	everywhere	RB
14725	896	57	in	in	IN
14725	896	58	equal	equal	JJ
14725	896	59	times	time	NNS
14725	896	60	,	,	,
14725	896	61	and	and	CC
14725	896	62	in	in	IN
14725	896	63	each	each	DT
14725	896	64	case	case	NN
14725	896	65	in	in	IN
14725	896	66	a	a	DT
14725	896	67	time	time	NN
14725	896	68	equal	equal	JJ
14725	896	69	to	to	IN
14725	896	70	that	that	DT
14725	896	71	which	which	WDT
14725	896	72	the	the	DT
14725	896	73	light	light	NN
14725	896	74	employs	employ	VBZ
14725	896	75	,	,	,
14725	896	76	to	to	TO
14725	896	77	pass	pass	VB
14725	896	78	along	along	RP
14725	896	79	the	the	DT
14725	896	80	straight	straight	JJ
14725	896	81	line	line	NN
14725	896	82	LF	LF	NNP
14725	896	83	of	of	IN
14725	896	84	which	which	WDT
14725	896	85	the	the	DT
14725	896	86	part	part	NN
14725	896	87	AB	AB	NNP
14725	896	88	is	be	VBZ
14725	896	89	within	within	IN
14725	896	90	the	the	DT
14725	896	91	glass	glass	NN
14725	896	92	.	.	.
14725	897	1	[	[	-LRB-
14725	897	2	Illustration	illustration	NN
14725	897	3	]	]	-RRB-
14725	897	4	Let	let	VB
14725	897	5	LG	LG	NNP
14725	897	6	be	be	VB
14725	897	7	a	a	DT
14725	897	8	ray	ray	NN
14725	897	9	falling	fall	VBG
14725	897	10	on	on	IN
14725	897	11	the	the	DT
14725	897	12	arc	arc	NN
14725	897	13	AK	AK	NNP
14725	897	14	.	.	.
14725	898	1	Its	-PRON-	PRP$
14725	898	2	refraction	refraction	NN
14725	898	3	GV	GV	NNP
14725	898	4	will	will	MD
14725	898	5	be	be	VB
14725	898	6	given	give	VBN
14725	898	7	by	by	IN
14725	898	8	means	mean	NNS
14725	898	9	of	of	IN
14725	898	10	the	the	DT
14725	898	11	tangent	tangent	NN
14725	898	12	which	which	WDT
14725	898	13	will	will	MD
14725	898	14	be	be	VB
14725	898	15	drawn	draw	VBN
14725	898	16	at	at	IN
14725	898	17	the	the	DT
14725	898	18	point	point	NN
14725	898	19	G.	G.	NNP
14725	898	20	Now	Now	NNP
14725	898	21	in	in	IN
14725	898	22	GV	GV	NNP
14725	898	23	the	the	DT
14725	898	24	point	point	NN
14725	898	25	D	D	NNP
14725	898	26	must	must	MD
14725	898	27	be	be	VB
14725	898	28	found	find	VBN
14725	898	29	such	such	JJ
14725	898	30	that	that	IN
14725	898	31	FD	FD	NNP
14725	898	32	together	together	RB
14725	898	33	with	with	IN
14725	898	34	3/2	3/2	CD
14725	898	35	of	of	IN
14725	898	36	DG	DG	NNP
14725	898	37	and	and	CC
14725	898	38	the	the	DT
14725	898	39	straight	straight	JJ
14725	898	40	line	line	NN
14725	898	41	GL	GL	NNP
14725	898	42	,	,	,
14725	898	43	may	may	MD
14725	898	44	be	be	VB
14725	898	45	equal	equal	JJ
14725	898	46	to	to	IN
14725	898	47	FB	FB	NNP
14725	898	48	together	together	RB
14725	898	49	with	with	IN
14725	898	50	3/2	3/2	CD
14725	898	51	of	of	IN
14725	898	52	BA	BA	NNP
14725	898	53	and	and	CC
14725	898	54	the	the	DT
14725	898	55	straight	straight	JJ
14725	898	56	line	line	NN
14725	898	57	AL	AL	NNP
14725	898	58	;	;	:
14725	898	59	which	which	WDT
14725	898	60	,	,	,
14725	898	61	as	as	IN
14725	898	62	is	be	VBZ
14725	898	63	clear	clear	JJ
14725	898	64	,	,	,
14725	898	65	make	make	VB
14725	898	66	up	up	RP
14725	898	67	a	a	DT
14725	898	68	given	give	VBN
14725	898	69	length	length	NN
14725	898	70	.	.	.
14725	899	1	Or	or	CC
14725	899	2	rather	rather	RB
14725	899	3	,	,	,
14725	899	4	by	by	IN
14725	899	5	deducting	deduct	VBG
14725	899	6	from	from	IN
14725	899	7	each	each	DT
14725	899	8	the	the	DT
14725	899	9	length	length	NN
14725	899	10	of	of	IN
14725	899	11	LG	LG	NNP
14725	899	12	,	,	,
14725	899	13	which	which	WDT
14725	899	14	is	be	VBZ
14725	899	15	also	also	RB
14725	899	16	given	give	VBN
14725	899	17	,	,	,
14725	899	18	it	-PRON-	PRP
14725	899	19	will	will	MD
14725	899	20	merely	merely	RB
14725	899	21	be	be	VB
14725	899	22	needful	needful	JJ
14725	899	23	to	to	TO
14725	899	24	adjust	adjust	VB
14725	899	25	FD	FD	NNP
14725	899	26	up	up	IN
14725	899	27	to	to	IN
14725	899	28	the	the	DT
14725	899	29	straight	straight	JJ
14725	899	30	line	line	NN
14725	899	31	VG	VG	NNP
14725	899	32	in	in	IN
14725	899	33	such	such	PDT
14725	899	34	a	a	DT
14725	899	35	way	way	NN
14725	899	36	that	that	WDT
14725	899	37	FD	FD	NNP
14725	899	38	together	together	RB
14725	899	39	with	with	IN
14725	899	40	3/2	3/2	CD
14725	899	41	of	of	IN
14725	899	42	DG	DG	NNP
14725	899	43	is	be	VBZ
14725	899	44	equal	equal	JJ
14725	899	45	to	to	IN
14725	899	46	a	a	DT
14725	899	47	given	give	VBN
14725	899	48	straight	straight	JJ
14725	899	49	line	line	NN
14725	899	50	,	,	,
14725	899	51	which	which	WDT
14725	899	52	is	be	VBZ
14725	899	53	a	a	DT
14725	899	54	quite	quite	RB
14725	899	55	easy	easy	JJ
14725	899	56	plane	plane	NN
14725	899	57	problem	problem	NN
14725	899	58	:	:	:
14725	899	59	and	and	CC
14725	899	60	the	the	DT
14725	899	61	point	point	NN
14725	899	62	D	d	NN
14725	899	63	will	will	MD
14725	899	64	be	be	VB
14725	899	65	one	one	CD
14725	899	66	of	of	IN
14725	899	67	those	those	DT
14725	899	68	through	through	IN
14725	899	69	which	which	WDT
14725	899	70	the	the	DT
14725	899	71	curve	curve	NN
14725	899	72	BDK	bdk	NN
14725	899	73	ought	ought	MD
14725	899	74	to	to	TO
14725	899	75	pass	pass	VB
14725	899	76	.	.	.
14725	900	1	And	and	CC
14725	900	2	similarly	similarly	RB
14725	900	3	,	,	,
14725	900	4	having	have	VBG
14725	900	5	drawn	draw	VBN
14725	900	6	another	another	DT
14725	900	7	ray	ray	NN
14725	900	8	LM	LM	NNP
14725	900	9	,	,	,
14725	900	10	and	and	CC
14725	900	11	found	find	VBD
14725	900	12	its	-PRON-	PRP$
14725	900	13	refraction	refraction	NN
14725	900	14	MO	mo	NN
14725	900	15	,	,	,
14725	900	16	the	the	DT
14725	900	17	point	point	NN
14725	900	18	N	n	NN
14725	900	19	will	will	MD
14725	900	20	be	be	VB
14725	900	21	found	find	VBN
14725	900	22	in	in	IN
14725	900	23	this	this	DT
14725	900	24	line	line	NN
14725	900	25	,	,	,
14725	900	26	and	and	CC
14725	900	27	so	so	RB
14725	900	28	on	on	RB
14725	900	29	as	as	RB
14725	900	30	many	many	JJ
14725	900	31	times	time	NNS
14725	900	32	as	as	IN
14725	900	33	one	one	CD
14725	900	34	desires	desire	NNS
14725	900	35	.	.	.
14725	901	1	To	to	TO
14725	901	2	demonstrate	demonstrate	VB
14725	901	3	the	the	DT
14725	901	4	effect	effect	NN
14725	901	5	of	of	IN
14725	901	6	the	the	DT
14725	901	7	curve	curve	NN
14725	901	8	,	,	,
14725	901	9	let	let	VB
14725	901	10	there	there	EX
14725	901	11	be	be	VB
14725	901	12	described	describe	VBN
14725	901	13	about	about	IN
14725	901	14	the	the	DT
14725	901	15	centre	centre	NN
14725	901	16	L	l	NN
14725	901	17	the	the	DT
14725	901	18	circular	circular	JJ
14725	901	19	arc	arc	NN
14725	901	20	AH	AH	NNP
14725	901	21	,	,	,
14725	901	22	cutting	cut	VBG
14725	901	23	LG	LG	NNP
14725	901	24	at	at	IN
14725	901	25	H	h	NN
14725	901	26	;	;	:
14725	901	27	and	and	CC
14725	901	28	about	about	IN
14725	901	29	the	the	DT
14725	901	30	centre	centre	NN
14725	901	31	F	F	NNP
14725	901	32	the	the	DT
14725	901	33	arc	arc	NNP
14725	901	34	BP	BP	NNP
14725	901	35	;	;	:
14725	901	36	and	and	CC
14725	901	37	in	in	IN
14725	901	38	AB	AB	NNP
14725	901	39	let	let	VBD
14725	901	40	AS	AS	NNP
14725	901	41	be	be	VB
14725	901	42	taken	take	VBN
14725	901	43	equal	equal	JJ
14725	901	44	to	to	IN
14725	901	45	2/3	2/3	CD
14725	901	46	of	of	IN
14725	901	47	HG	HG	NNP
14725	901	48	;	;	:
14725	901	49	and	and	CC
14725	901	50	SE	SE	NNP
14725	901	51	equal	equal	JJ
14725	901	52	to	to	IN
14725	901	53	GD	GD	NNP
14725	901	54	.	.	.
14725	902	1	Then	then	RB
14725	902	2	considering	consider	VBG
14725	902	3	AH	AH	NNP
14725	902	4	as	as	IN
14725	902	5	a	a	DT
14725	902	6	wave	wave	NN
14725	902	7	of	of	IN
14725	902	8	light	light	NN
14725	902	9	emanating	emanate	VBG
14725	902	10	from	from	IN
14725	902	11	the	the	DT
14725	902	12	point	point	NN
14725	902	13	L	l	NN
14725	902	14	,	,	,
14725	902	15	it	-PRON-	PRP
14725	902	16	is	be	VBZ
14725	902	17	certain	certain	JJ
14725	902	18	that	that	IN
14725	902	19	during	during	IN
14725	902	20	the	the	DT
14725	902	21	time	time	NN
14725	902	22	in	in	IN
14725	902	23	which	which	WDT
14725	902	24	its	-PRON-	PRP$
14725	902	25	piece	piece	NN
14725	902	26	H	h	NN
14725	902	27	arrives	arrive	VBZ
14725	902	28	at	at	IN
14725	902	29	G	g	NN
14725	902	30	the	the	DT
14725	902	31	piece	piece	NN
14725	902	32	A	a	NN
14725	902	33	will	will	MD
14725	902	34	have	have	VB
14725	902	35	advanced	advance	VBN
14725	902	36	within	within	IN
14725	902	37	the	the	DT
14725	902	38	transparent	transparent	JJ
14725	902	39	body	body	NN
14725	902	40	only	only	RB
14725	902	41	along	along	IN
14725	902	42	AS	as	IN
14725	902	43	;	;	:
14725	902	44	for	for	IN
14725	902	45	I	-PRON-	PRP
14725	902	46	suppose	suppose	VBP
14725	902	47	,	,	,
14725	902	48	as	as	IN
14725	902	49	above	above	RB
14725	902	50	,	,	,
14725	902	51	the	the	DT
14725	902	52	proportion	proportion	NN
14725	902	53	of	of	IN
14725	902	54	the	the	DT
14725	902	55	refraction	refraction	NN
14725	902	56	to	to	TO
14725	902	57	be	be	VB
14725	902	58	as	as	IN
14725	902	59	3	3	CD
14725	902	60	to	to	IN
14725	902	61	2	2	CD
14725	902	62	.	.	.
14725	903	1	Now	now	RB
14725	903	2	we	-PRON-	PRP
14725	903	3	know	know	VBP
14725	903	4	that	that	IN
14725	903	5	the	the	DT
14725	903	6	piece	piece	NN
14725	903	7	of	of	IN
14725	903	8	wave	wave	NN
14725	903	9	which	which	WDT
14725	903	10	is	be	VBZ
14725	903	11	incident	incident	NN
14725	903	12	on	on	IN
14725	903	13	G	g	NN
14725	903	14	,	,	,
14725	903	15	advances	advance	VBZ
14725	903	16	thence	thence	NN
14725	903	17	along	along	IN
14725	903	18	the	the	DT
14725	903	19	line	line	NN
14725	903	20	GD	GD	NNP
14725	903	21	,	,	,
14725	903	22	since	since	IN
14725	903	23	GV	GV	NNP
14725	903	24	is	be	VBZ
14725	903	25	the	the	DT
14725	903	26	refraction	refraction	NN
14725	903	27	of	of	IN
14725	903	28	the	the	DT
14725	903	29	ray	ray	NN
14725	903	30	LG	LG	NNP
14725	903	31	.	.	.
14725	904	1	Then	then	RB
14725	904	2	during	during	IN
14725	904	3	the	the	DT
14725	904	4	time	time	NN
14725	904	5	that	that	IN
14725	904	6	this	this	DT
14725	904	7	piece	piece	NN
14725	904	8	of	of	IN
14725	904	9	wave	wave	NN
14725	904	10	has	have	VBZ
14725	904	11	taken	take	VBN
14725	904	12	from	from	IN
14725	904	13	G	g	NN
14725	904	14	to	to	IN
14725	904	15	D	d	NN
14725	904	16	,	,	,
14725	904	17	the	the	DT
14725	904	18	other	other	JJ
14725	904	19	piece	piece	NN
14725	904	20	which	which	WDT
14725	904	21	was	be	VBD
14725	904	22	at	at	IN
14725	904	23	S	S	NNP
14725	904	24	has	have	VBZ
14725	904	25	reached	reach	VBN
14725	904	26	E	e	NN
14725	904	27	,	,	,
14725	904	28	since	since	IN
14725	904	29	GD	GD	NNP
14725	904	30	,	,	,
14725	904	31	SE	SE	NNP
14725	904	32	are	be	VBP
14725	904	33	equal	equal	JJ
14725	904	34	.	.	.
14725	905	1	But	but	CC
14725	905	2	while	while	IN
14725	905	3	the	the	DT
14725	905	4	latter	latter	NN
14725	905	5	will	will	MD
14725	905	6	advance	advance	VB
14725	905	7	from	from	IN
14725	905	8	E	e	NN
14725	905	9	to	to	IN
14725	905	10	B	b	NN
14725	905	11	,	,	,
14725	905	12	the	the	DT
14725	905	13	piece	piece	NN
14725	905	14	of	of	IN
14725	905	15	wave	wave	NN
14725	905	16	which	which	WDT
14725	905	17	was	be	VBD
14725	905	18	at	at	IN
14725	905	19	D	d	NN
14725	905	20	will	will	MD
14725	905	21	have	have	VB
14725	905	22	spread	spread	VBN
14725	905	23	into	into	IN
14725	905	24	the	the	DT
14725	905	25	air	air	NN
14725	905	26	its	-PRON-	PRP$
14725	905	27	partial	partial	JJ
14725	905	28	wave	wave	NN
14725	905	29	,	,	,
14725	905	30	the	the	DT
14725	905	31	semi	semi	JJ
14725	905	32	-	-	JJ
14725	905	33	diameter	diameter	NN
14725	905	34	of	of	IN
14725	905	35	which	which	WDT
14725	905	36	,	,	,
14725	905	37	DC	DC	NNP
14725	905	38	(	(	-LRB-
14725	905	39	supposing	suppose	VBG
14725	905	40	this	this	DT
14725	905	41	wave	wave	NN
14725	905	42	to	to	TO
14725	905	43	cut	cut	VB
14725	905	44	the	the	DT
14725	905	45	line	line	NN
14725	905	46	DF	DF	NNP
14725	905	47	at	at	IN
14725	905	48	C	C	NNP
14725	905	49	)	)	-RRB-
14725	905	50	,	,	,
14725	905	51	will	will	MD
14725	905	52	be	be	VB
14725	905	53	3/2	3/2	CD
14725	905	54	of	of	IN
14725	905	55	EB	EB	NNP
14725	905	56	,	,	,
14725	905	57	since	since	IN
14725	905	58	the	the	DT
14725	905	59	velocity	velocity	NN
14725	905	60	of	of	IN
14725	905	61	light	light	NN
14725	905	62	outside	outside	IN
14725	905	63	the	the	DT
14725	905	64	medium	medium	NN
14725	905	65	is	be	VBZ
14725	905	66	to	to	IN
14725	905	67	that	that	DT
14725	905	68	inside	inside	RB
14725	905	69	as	as	IN
14725	905	70	3	3	CD
14725	905	71	to	to	IN
14725	905	72	2	2	CD
14725	905	73	.	.	.
14725	906	1	Now	now	RB
14725	906	2	it	-PRON-	PRP
14725	906	3	is	be	VBZ
14725	906	4	easy	easy	JJ
14725	906	5	to	to	TO
14725	906	6	show	show	VB
14725	906	7	that	that	IN
14725	906	8	this	this	DT
14725	906	9	wave	wave	NN
14725	906	10	will	will	MD
14725	906	11	touch	touch	VB
14725	906	12	the	the	DT
14725	906	13	arc	arc	NN
14725	906	14	BP	BP	NNP
14725	906	15	at	at	IN
14725	906	16	this	this	DT
14725	906	17	point	point	NN
14725	906	18	C.	C.	NNP
14725	906	19	For	for	IN
14725	906	20	since	since	IN
14725	906	21	,	,	,
14725	906	22	by	by	IN
14725	906	23	construction	construction	NN
14725	906	24	,	,	,
14725	906	25	FD	FD	NNP
14725	906	26	+	+	CC
14725	906	27	3/2	3/2	CD
14725	906	28	DG	DG	NNP
14725	906	29	+	+	CC
14725	906	30	GL	GL	NNP
14725	906	31	are	be	VBP
14725	906	32	equal	equal	JJ
14725	906	33	to	to	IN
14725	906	34	FB	fb	NN
14725	906	35	+	+	SYM
14725	906	36	3/2	3/2	CD
14725	906	37	BA	ba	NN
14725	906	38	+	+	CC
14725	906	39	AL	AL	NNP
14725	906	40	;	;	:
14725	906	41	on	on	IN
14725	906	42	deducting	deduct	VBG
14725	906	43	the	the	DT
14725	906	44	equals	equal	NNS
14725	906	45	LH	LH	NNP
14725	906	46	,	,	,
14725	906	47	LA	LA	NNP
14725	906	48	,	,	,
14725	906	49	there	there	EX
14725	906	50	will	will	MD
14725	906	51	remain	remain	VB
14725	906	52	FD	FD	NNP
14725	906	53	+	+	SYM
14725	906	54	3/2	3/2	CD
14725	906	55	DG	DG	NNP
14725	906	56	+	+	CC
14725	906	57	GH	GH	NNP
14725	906	58	equal	equal	JJ
14725	906	59	to	to	IN
14725	906	60	FB	fb	NN
14725	906	61	+	+	SYM
14725	906	62	3/2	3/2	CD
14725	906	63	BA	BA	NNP
14725	906	64	.	.	.
14725	907	1	And	and	CC
14725	907	2	,	,	,
14725	907	3	again	again	RB
14725	907	4	,	,	,
14725	907	5	deducting	deduct	VBG
14725	907	6	from	from	IN
14725	907	7	one	one	CD
14725	907	8	side	side	NN
14725	907	9	GH	GH	NNP
14725	907	10	,	,	,
14725	907	11	and	and	CC
14725	907	12	from	from	IN
14725	907	13	the	the	DT
14725	907	14	other	other	JJ
14725	907	15	side	side	NN
14725	907	16	3/2	3/2	CD
14725	907	17	of	of	IN
14725	907	18	AS	AS	NNP
14725	907	19	,	,	,
14725	907	20	which	which	WDT
14725	907	21	are	be	VBP
14725	907	22	equal	equal	JJ
14725	907	23	,	,	,
14725	907	24	there	there	EX
14725	907	25	will	will	MD
14725	907	26	remain	remain	VB
14725	907	27	FD	FD	NNP
14725	907	28	with	with	IN
14725	907	29	3/2	3/2	CD
14725	907	30	DG	DG	NNP
14725	907	31	equal	equal	JJ
14725	907	32	to	to	IN
14725	907	33	FB	FB	NNP
14725	907	34	with	with	IN
14725	907	35	3/2	3/2	CD
14725	907	36	of	of	IN
14725	907	37	BS	BS	NNP
14725	907	38	.	.	.
14725	908	1	But	but	CC
14725	908	2	3/2	3/2	CD
14725	908	3	of	of	IN
14725	908	4	DG	DG	NNP
14725	908	5	are	be	VBP
14725	908	6	equal	equal	JJ
14725	908	7	to	to	IN
14725	908	8	3/2	3/2	CD
14725	908	9	of	of	IN
14725	908	10	ES	ES	NNP
14725	908	11	;	;	:
14725	908	12	then	then	RB
14725	908	13	FD	FD	NNP
14725	908	14	is	be	VBZ
14725	908	15	equal	equal	JJ
14725	908	16	to	to	IN
14725	908	17	FB	FB	NNP
14725	908	18	with	with	IN
14725	908	19	3/2	3/2	CD
14725	908	20	of	of	IN
14725	908	21	BE	BE	NNP
14725	908	22	.	.	.
14725	909	1	But	but	CC
14725	909	2	DC	DC	NNP
14725	909	3	was	be	VBD
14725	909	4	equal	equal	JJ
14725	909	5	to	to	IN
14725	909	6	3/2	3/2	CD
14725	909	7	of	of	IN
14725	909	8	EB	EB	NNP
14725	909	9	;	;	:
14725	909	10	then	then	RB
14725	909	11	deducting	deduct	VBG
14725	909	12	these	these	DT
14725	909	13	equal	equal	JJ
14725	909	14	lengths	length	NNS
14725	909	15	from	from	IN
14725	909	16	one	one	CD
14725	909	17	side	side	NN
14725	909	18	and	and	CC
14725	909	19	from	from	IN
14725	909	20	the	the	DT
14725	909	21	other	other	JJ
14725	909	22	,	,	,
14725	909	23	there	there	EX
14725	909	24	will	will	MD
14725	909	25	remain	remain	VB
14725	909	26	CF	cf	NN
14725	909	27	equal	equal	JJ
14725	909	28	to	to	IN
14725	909	29	FB	FB	NNP
14725	909	30	.	.	.
14725	910	1	And	and	CC
14725	910	2	thus	thus	RB
14725	910	3	it	-PRON-	PRP
14725	910	4	appears	appear	VBZ
14725	910	5	that	that	IN
14725	910	6	the	the	DT
14725	910	7	wave	wave	NN
14725	910	8	,	,	,
14725	910	9	the	the	DT
14725	910	10	semi	semi	JJ
14725	910	11	-	-	JJ
14725	910	12	diameter	diameter	NN
14725	910	13	of	of	IN
14725	910	14	which	which	WDT
14725	910	15	is	be	VBZ
14725	910	16	DC	DC	NNP
14725	910	17	,	,	,
14725	910	18	touches	touch	VBZ
14725	910	19	the	the	DT
14725	910	20	arc	arc	NNP
14725	910	21	BP	BP	NNP
14725	910	22	at	at	IN
14725	910	23	the	the	DT
14725	910	24	moment	moment	NN
14725	910	25	when	when	WRB
14725	910	26	the	the	DT
14725	910	27	light	light	NN
14725	910	28	coming	come	VBG
14725	910	29	from	from	IN
14725	910	30	the	the	DT
14725	910	31	point	point	NN
14725	910	32	L	L	NNP
14725	910	33	has	have	VBZ
14725	910	34	arrived	arrive	VBN
14725	910	35	at	at	IN
14725	910	36	B	b	NN
14725	910	37	along	along	IN
14725	910	38	the	the	DT
14725	910	39	line	line	NN
14725	910	40	LB	LB	NNP
14725	910	41	.	.	.
14725	911	1	It	-PRON-	PRP
14725	911	2	can	can	MD
14725	911	3	be	be	VB
14725	911	4	demonstrated	demonstrate	VBN
14725	911	5	similarly	similarly	RB
14725	911	6	that	that	IN
14725	911	7	at	at	IN
14725	911	8	this	this	DT
14725	911	9	same	same	JJ
14725	911	10	moment	moment	NN
14725	911	11	the	the	DT
14725	911	12	light	light	NN
14725	911	13	that	that	WDT
14725	911	14	has	have	VBZ
14725	911	15	come	come	VBN
14725	911	16	along	along	IN
14725	911	17	any	any	DT
14725	911	18	other	other	JJ
14725	911	19	ray	ray	NN
14725	911	20	,	,	,
14725	911	21	such	such	JJ
14725	911	22	as	as	IN
14725	911	23	LM	LM	NNP
14725	911	24	,	,	,
14725	911	25	MN	MN	NNP
14725	911	26	,	,	,
14725	911	27	will	will	MD
14725	911	28	have	have	VB
14725	911	29	propagated	propagate	VBN
14725	911	30	the	the	DT
14725	911	31	movement	movement	NN
14725	911	32	which	which	WDT
14725	911	33	is	be	VBZ
14725	911	34	terminated	terminate	VBN
14725	911	35	at	at	IN
14725	911	36	the	the	DT
14725	911	37	arc	arc	NNP
14725	911	38	BP	BP	NNP
14725	911	39	.	.	.
14725	912	1	Whence	whence	IN
14725	912	2	it	-PRON-	PRP
14725	912	3	follows	follow	VBZ
14725	912	4	,	,	,
14725	912	5	as	as	IN
14725	912	6	has	have	VBZ
14725	912	7	been	be	VBN
14725	912	8	often	often	RB
14725	912	9	said	say	VBN
14725	912	10	,	,	,
14725	912	11	that	that	IN
14725	912	12	the	the	DT
14725	912	13	propagation	propagation	NN
14725	912	14	of	of	IN
14725	912	15	the	the	DT
14725	912	16	wave	wave	NN
14725	912	17	AH	AH	NNP
14725	912	18	,	,	,
14725	912	19	after	after	IN
14725	912	20	it	-PRON-	PRP
14725	912	21	has	have	VBZ
14725	912	22	passed	pass	VBN
14725	912	23	through	through	IN
14725	912	24	the	the	DT
14725	912	25	thickness	thickness	NN
14725	912	26	of	of	IN
14725	912	27	the	the	DT
14725	912	28	glass	glass	NN
14725	912	29	,	,	,
14725	912	30	will	will	MD
14725	912	31	be	be	VB
14725	912	32	the	the	DT
14725	912	33	spherical	spherical	JJ
14725	912	34	wave	wave	NN
14725	912	35	BP	BP	NNP
14725	912	36	,	,	,
14725	912	37	all	all	PDT
14725	912	38	the	the	DT
14725	912	39	pieces	piece	NNS
14725	912	40	of	of	IN
14725	912	41	which	which	WDT
14725	912	42	ought	ought	MD
14725	912	43	to	to	TO
14725	912	44	advance	advance	VB
14725	912	45	along	along	IN
14725	912	46	straight	straight	JJ
14725	912	47	lines	line	NNS
14725	912	48	,	,	,
14725	912	49	which	which	WDT
14725	912	50	are	be	VBP
14725	912	51	the	the	DT
14725	912	52	rays	ray	NNS
14725	912	53	of	of	IN
14725	912	54	light	light	NN
14725	912	55	,	,	,
14725	912	56	to	to	IN
14725	912	57	the	the	DT
14725	912	58	centre	centre	NN
14725	912	59	F.	F.	NNP
14725	912	60	Which	which	WDT
14725	912	61	was	be	VBD
14725	912	62	to	to	TO
14725	912	63	be	be	VB
14725	912	64	proved	prove	VBN
14725	912	65	.	.	.
14725	913	1	Similarly	similarly	RB
14725	913	2	these	these	DT
14725	913	3	curved	curve	VBN
14725	913	4	lines	line	NNS
14725	913	5	can	can	MD
14725	913	6	be	be	VB
14725	913	7	found	find	VBN
14725	913	8	in	in	IN
14725	913	9	all	all	PDT
14725	913	10	the	the	DT
14725	913	11	cases	case	NNS
14725	913	12	which	which	WDT
14725	913	13	can	can	MD
14725	913	14	be	be	VB
14725	913	15	proposed	propose	VBN
14725	913	16	,	,	,
14725	913	17	as	as	IN
14725	913	18	will	will	MD
14725	913	19	be	be	VB
14725	913	20	sufficiently	sufficiently	RB
14725	913	21	shown	show	VBN
14725	913	22	by	by	IN
14725	913	23	one	one	CD
14725	913	24	or	or	CC
14725	913	25	two	two	CD
14725	913	26	examples	example	NNS
14725	913	27	which	which	WDT
14725	913	28	I	-PRON-	PRP
14725	913	29	will	will	MD
14725	913	30	add	add	VB
14725	913	31	.	.	.
14725	914	1	Let	let	VB
14725	914	2	there	there	EX
14725	914	3	be	be	VB
14725	914	4	given	give	VBN
14725	914	5	the	the	DT
14725	914	6	surface	surface	NN
14725	914	7	of	of	IN
14725	914	8	the	the	DT
14725	914	9	glass	glass	NN
14725	914	10	AK	AK	NNP
14725	914	11	,	,	,
14725	914	12	made	make	VBN
14725	914	13	by	by	IN
14725	914	14	the	the	DT
14725	914	15	revolution	revolution	NN
14725	914	16	about	about	IN
14725	914	17	the	the	DT
14725	914	18	axis	axis	JJ
14725	914	19	BA	BA	NNP
14725	914	20	of	of	IN
14725	914	21	the	the	DT
14725	914	22	line	line	NN
14725	914	23	AK	AK	NNP
14725	914	24	,	,	,
14725	914	25	which	which	WDT
14725	914	26	may	may	MD
14725	914	27	be	be	VB
14725	914	28	straight	straight	JJ
14725	914	29	or	or	CC
14725	914	30	curved	curve	VBN
14725	914	31	.	.	.
14725	915	1	Let	let	VB
14725	915	2	there	there	EX
14725	915	3	be	be	VB
14725	915	4	also	also	RB
14725	915	5	given	give	VBN
14725	915	6	in	in	IN
14725	915	7	the	the	DT
14725	915	8	axis	axis	NN
14725	915	9	the	the	DT
14725	915	10	point	point	NN
14725	915	11	L	l	NN
14725	915	12	and	and	CC
14725	915	13	the	the	DT
14725	915	14	thickness	thickness	NN
14725	915	15	BA	BA	NNP
14725	915	16	of	of	IN
14725	915	17	the	the	DT
14725	915	18	glass	glass	NN
14725	915	19	;	;	:
14725	915	20	and	and	CC
14725	915	21	let	let	VB
14725	915	22	it	-PRON-	PRP
14725	915	23	be	be	VB
14725	915	24	required	require	VBN
14725	915	25	to	to	TO
14725	915	26	find	find	VB
14725	915	27	the	the	DT
14725	915	28	other	other	JJ
14725	915	29	surface	surface	NN
14725	915	30	KDB	KDB	NNP
14725	915	31	,	,	,
14725	915	32	which	which	WDT
14725	915	33	receiving	receive	VBG
14725	915	34	rays	ray	NNS
14725	915	35	that	that	WDT
14725	915	36	are	be	VBP
14725	915	37	parallel	parallel	JJ
14725	915	38	to	to	IN
14725	915	39	AB	AB	NNP
14725	915	40	will	will	MD
14725	915	41	direct	direct	VB
14725	915	42	them	-PRON-	PRP
14725	915	43	in	in	IN
14725	915	44	such	such	JJ
14725	915	45	wise	wise	JJ
14725	915	46	that	that	IN
14725	915	47	after	after	IN
14725	915	48	being	be	VBG
14725	915	49	again	again	RB
14725	915	50	refracted	refract	VBN
14725	915	51	at	at	IN
14725	915	52	the	the	DT
14725	915	53	given	give	VBN
14725	915	54	surface	surface	NN
14725	915	55	AK	AK	NNP
14725	915	56	they	-PRON-	PRP
14725	915	57	will	will	MD
14725	915	58	all	all	RB
14725	915	59	be	be	VB
14725	915	60	reassembled	reassemble	VBN
14725	915	61	at	at	IN
14725	915	62	the	the	DT
14725	915	63	point	point	NN
14725	915	64	L.	L.	NNP
14725	915	65	[	[	-LRB-
14725	915	66	Illustration	illustration	NN
14725	915	67	]	]	-RRB-
14725	915	68	From	from	IN
14725	915	69	the	the	DT
14725	915	70	point	point	NN
14725	915	71	L	L	NNP
14725	915	72	let	let	VBD
14725	915	73	there	there	EX
14725	915	74	be	be	VB
14725	915	75	drawn	draw	VBN
14725	915	76	to	to	IN
14725	915	77	some	some	DT
14725	915	78	point	point	NN
14725	915	79	of	of	IN
14725	915	80	the	the	DT
14725	915	81	given	give	VBN
14725	915	82	line	line	NN
14725	915	83	AK	AK	NNP
14725	915	84	the	the	DT
14725	915	85	straight	straight	JJ
14725	915	86	line	line	NN
14725	915	87	LG	LG	NNP
14725	915	88	,	,	,
14725	915	89	which	which	WDT
14725	915	90	,	,	,
14725	915	91	being	be	VBG
14725	915	92	considered	consider	VBN
14725	915	93	as	as	IN
14725	915	94	a	a	DT
14725	915	95	ray	ray	NN
14725	915	96	of	of	IN
14725	915	97	light	light	NN
14725	915	98	,	,	,
14725	915	99	its	-PRON-	PRP$
14725	915	100	refraction	refraction	NN
14725	915	101	GD	GD	NNP
14725	915	102	will	will	MD
14725	915	103	then	then	RB
14725	915	104	be	be	VB
14725	915	105	found	find	VBN
14725	915	106	.	.	.
14725	916	1	And	and	CC
14725	916	2	this	this	DT
14725	916	3	line	line	NN
14725	916	4	being	be	VBG
14725	916	5	then	then	RB
14725	916	6	prolonged	prolong	VBN
14725	916	7	at	at	IN
14725	916	8	one	one	CD
14725	916	9	side	side	NN
14725	916	10	or	or	CC
14725	916	11	the	the	DT
14725	916	12	other	other	JJ
14725	916	13	will	will	MD
14725	916	14	meet	meet	VB
14725	916	15	the	the	DT
14725	916	16	straight	straight	JJ
14725	916	17	line	line	NN
14725	916	18	BL	BL	NNP
14725	916	19	,	,	,
14725	916	20	as	as	RB
14725	916	21	here	here	RB
14725	916	22	at	at	IN
14725	916	23	V.	V.	NNP
14725	916	24	Let	let	VB
14725	916	25	there	there	RB
14725	916	26	then	then	RB
14725	916	27	be	be	VB
14725	916	28	erected	erect	VBN
14725	916	29	on	on	IN
14725	916	30	AB	AB	NNP
14725	916	31	the	the	DT
14725	916	32	perpendicular	perpendicular	JJ
14725	916	33	BC	BC	NNP
14725	916	34	,	,	,
14725	916	35	which	which	WDT
14725	916	36	will	will	MD
14725	916	37	represent	represent	VB
14725	916	38	a	a	DT
14725	916	39	wave	wave	NN
14725	916	40	of	of	IN
14725	916	41	light	light	NN
14725	916	42	coming	come	VBG
14725	916	43	from	from	IN
14725	916	44	the	the	DT
14725	916	45	infinitely	infinitely	RB
14725	916	46	distant	distant	JJ
14725	916	47	point	point	NN
14725	916	48	F	F	NNP
14725	916	49	,	,	,
14725	916	50	since	since	IN
14725	916	51	we	-PRON-	PRP
14725	916	52	have	have	VBP
14725	916	53	supposed	suppose	VBN
14725	916	54	the	the	DT
14725	916	55	rays	ray	NNS
14725	916	56	to	to	TO
14725	916	57	be	be	VB
14725	916	58	parallel	parallel	JJ
14725	916	59	.	.	.
14725	917	1	Then	then	RB
14725	917	2	all	all	PDT
14725	917	3	the	the	DT
14725	917	4	parts	part	NNS
14725	917	5	of	of	IN
14725	917	6	this	this	DT
14725	917	7	wave	wave	NN
14725	917	8	BC	BC	NNP
14725	917	9	must	must	MD
14725	917	10	arrive	arrive	VB
14725	917	11	at	at	IN
14725	917	12	the	the	DT
14725	917	13	same	same	JJ
14725	917	14	time	time	NN
14725	917	15	at	at	IN
14725	917	16	the	the	DT
14725	917	17	point	point	NN
14725	917	18	L	l	NN
14725	917	19	;	;	:
14725	917	20	or	or	CC
14725	917	21	rather	rather	RB
14725	917	22	all	all	PDT
14725	917	23	the	the	DT
14725	917	24	parts	part	NNS
14725	917	25	of	of	IN
14725	917	26	a	a	DT
14725	917	27	wave	wave	NN
14725	917	28	emanating	emanate	VBG
14725	917	29	from	from	IN
14725	917	30	the	the	DT
14725	917	31	point	point	NN
14725	917	32	L	L	NNP
14725	917	33	must	must	MD
14725	917	34	arrive	arrive	VB
14725	917	35	at	at	IN
14725	917	36	the	the	DT
14725	917	37	same	same	JJ
14725	917	38	time	time	NN
14725	917	39	at	at	IN
14725	917	40	the	the	DT
14725	917	41	straight	straight	JJ
14725	917	42	line	line	NN
14725	917	43	BC	BC	NNP
14725	917	44	.	.	.
14725	918	1	And	and	CC
14725	918	2	for	for	IN
14725	918	3	that	that	DT
14725	918	4	,	,	,
14725	918	5	it	-PRON-	PRP
14725	918	6	is	be	VBZ
14725	918	7	necessary	necessary	JJ
14725	918	8	to	to	TO
14725	918	9	find	find	VB
14725	918	10	in	in	IN
14725	918	11	the	the	DT
14725	918	12	line	line	NN
14725	918	13	VGD	VGD	NNP
14725	918	14	the	the	DT
14725	918	15	point	point	NN
14725	918	16	D	d	NN
14725	918	17	such	such	JJ
14725	918	18	that	that	IN
14725	918	19	having	have	VBG
14725	918	20	drawn	draw	VBN
14725	918	21	DC	DC	NNP
14725	918	22	parallel	parallel	NN
14725	918	23	to	to	IN
14725	918	24	AB	AB	NNP
14725	918	25	,	,	,
14725	918	26	the	the	DT
14725	918	27	sum	sum	NN
14725	918	28	of	of	IN
14725	918	29	CD	CD	NNP
14725	918	30	,	,	,
14725	918	31	plus	plus	CC
14725	918	32	3/2	3/2	CD
14725	918	33	of	of	IN
14725	918	34	DG	DG	NNP
14725	918	35	,	,	,
14725	918	36	plus	plus	CC
14725	918	37	GL	GL	NNP
14725	918	38	may	may	MD
14725	918	39	be	be	VB
14725	918	40	equal	equal	JJ
14725	918	41	to	to	IN
14725	918	42	3/2	3/2	CD
14725	918	43	of	of	IN
14725	918	44	AB	AB	NNP
14725	918	45	,	,	,
14725	918	46	plus	plus	CC
14725	918	47	AL	AL	NNP
14725	918	48	:	:	:
14725	918	49	or	or	CC
14725	918	50	rather	rather	RB
14725	918	51	,	,	,
14725	918	52	on	on	IN
14725	918	53	deducting	deduct	VBG
14725	918	54	from	from	IN
14725	918	55	both	both	DT
14725	918	56	sides	side	NNS
14725	918	57	GL	GL	NNP
14725	918	58	,	,	,
14725	918	59	which	which	WDT
14725	918	60	is	be	VBZ
14725	918	61	given	give	VBN
14725	918	62	,	,	,
14725	918	63	CD	CD	NNP
14725	918	64	plus	plus	CC
14725	918	65	3/2	3/2	CD
14725	918	66	of	of	IN
14725	918	67	DG	DG	NNP
14725	918	68	must	must	MD
14725	918	69	be	be	VB
14725	918	70	equal	equal	JJ
14725	918	71	to	to	IN
14725	918	72	a	a	DT
14725	918	73	given	give	VBN
14725	918	74	length	length	NN
14725	918	75	;	;	:
14725	918	76	which	which	WDT
14725	918	77	is	be	VBZ
14725	918	78	a	a	DT
14725	918	79	still	still	RB
14725	918	80	easier	easy	JJR
14725	918	81	problem	problem	NN
14725	918	82	than	than	IN
14725	918	83	the	the	DT
14725	918	84	preceding	precede	VBG
14725	918	85	construction	construction	NN
14725	918	86	.	.	.
14725	919	1	The	the	DT
14725	919	2	point	point	NN
14725	919	3	D	d	NN
14725	919	4	thus	thus	RB
14725	919	5	found	find	VBN
14725	919	6	will	will	MD
14725	919	7	be	be	VB
14725	919	8	one	one	CD
14725	919	9	of	of	IN
14725	919	10	those	those	DT
14725	919	11	through	through	IN
14725	919	12	which	which	WDT
14725	919	13	the	the	DT
14725	919	14	curve	curve	NN
14725	919	15	ought	ought	MD
14725	919	16	to	to	TO
14725	919	17	pass	pass	VB
14725	919	18	;	;	:
14725	919	19	and	and	CC
14725	919	20	the	the	DT
14725	919	21	proof	proof	NN
14725	919	22	will	will	MD
14725	919	23	be	be	VB
14725	919	24	the	the	DT
14725	919	25	same	same	JJ
14725	919	26	as	as	IN
14725	919	27	before	before	RB
14725	919	28	.	.	.
14725	920	1	And	and	CC
14725	920	2	by	by	IN
14725	920	3	this	this	DT
14725	920	4	it	-PRON-	PRP
14725	920	5	will	will	MD
14725	920	6	be	be	VB
14725	920	7	proved	prove	VBN
14725	920	8	that	that	IN
14725	920	9	the	the	DT
14725	920	10	waves	wave	NNS
14725	920	11	which	which	WDT
14725	920	12	come	come	VBP
14725	920	13	from	from	IN
14725	920	14	the	the	DT
14725	920	15	point	point	NN
14725	920	16	L	L	NNP
14725	920	17	,	,	,
14725	920	18	after	after	IN
14725	920	19	having	have	VBG
14725	920	20	passed	pass	VBN
14725	920	21	through	through	IN
14725	920	22	the	the	DT
14725	920	23	glass	glass	NN
14725	920	24	KAKB	KAKB	NNP
14725	920	25	,	,	,
14725	920	26	will	will	MD
14725	920	27	take	take	VB
14725	920	28	the	the	DT
14725	920	29	form	form	NN
14725	920	30	of	of	IN
14725	920	31	straight	straight	JJ
14725	920	32	lines	line	NNS
14725	920	33	,	,	,
14725	920	34	as	as	IN
14725	920	35	BC	BC	NNP
14725	920	36	;	;	:
14725	920	37	which	which	WDT
14725	920	38	is	be	VBZ
14725	920	39	the	the	DT
14725	920	40	same	same	JJ
14725	920	41	thing	thing	NN
14725	920	42	as	as	IN
14725	920	43	saying	say	VBG
14725	920	44	that	that	IN
14725	920	45	the	the	DT
14725	920	46	rays	ray	NNS
14725	920	47	will	will	MD
14725	920	48	become	become	VB
14725	920	49	parallel	parallel	JJ
14725	920	50	.	.	.
14725	921	1	Whence	whence	IN
14725	921	2	it	-PRON-	PRP
14725	921	3	follows	follow	VBZ
14725	921	4	reciprocally	reciprocally	RB
14725	921	5	that	that	IN
14725	921	6	parallel	parallel	JJ
14725	921	7	rays	ray	NNS
14725	921	8	falling	fall	VBG
14725	921	9	on	on	IN
14725	921	10	the	the	DT
14725	921	11	surface	surface	NN
14725	921	12	KDB	KDB	NNP
14725	921	13	will	will	MD
14725	921	14	be	be	VB
14725	921	15	reassembled	reassemble	VBN
14725	921	16	at	at	IN
14725	921	17	the	the	DT
14725	921	18	point	point	NN
14725	921	19	L.	L.	NNP
14725	921	20	[	[	-LRB-
14725	921	21	Illustration	illustration	NN
14725	921	22	]	]	-RRB-
14725	921	23	Again	again	RB
14725	921	24	,	,	,
14725	921	25	let	let	VB
14725	921	26	there	there	EX
14725	921	27	be	be	VB
14725	921	28	given	give	VBN
14725	921	29	the	the	DT
14725	921	30	surface	surface	NN
14725	921	31	AK	AK	NNP
14725	921	32	,	,	,
14725	921	33	of	of	IN
14725	921	34	any	any	DT
14725	921	35	desired	desire	VBN
14725	921	36	form	form	NN
14725	921	37	,	,	,
14725	921	38	generated	generate	VBN
14725	921	39	by	by	IN
14725	921	40	revolution	revolution	NN
14725	921	41	about	about	IN
14725	921	42	the	the	DT
14725	921	43	axis	axis	JJ
14725	921	44	AB	ab	NN
14725	921	45	,	,	,
14725	921	46	and	and	CC
14725	921	47	let	let	VB
14725	921	48	the	the	DT
14725	921	49	thickness	thickness	NN
14725	921	50	of	of	IN
14725	921	51	the	the	DT
14725	921	52	glass	glass	NN
14725	921	53	at	at	IN
14725	921	54	the	the	DT
14725	921	55	middle	middle	NN
14725	921	56	be	be	VB
14725	921	57	AB	AB	NNP
14725	921	58	.	.	.
14725	922	1	Also	also	RB
14725	922	2	let	let	VB
14725	922	3	the	the	DT
14725	922	4	point	point	NN
14725	922	5	L	l	NN
14725	922	6	be	be	VB
14725	922	7	given	give	VBN
14725	922	8	in	in	IN
14725	922	9	the	the	DT
14725	922	10	axis	axis	NN
14725	922	11	behind	behind	IN
14725	922	12	the	the	DT
14725	922	13	glass	glass	NN
14725	922	14	;	;	:
14725	922	15	and	and	CC
14725	922	16	let	let	VB
14725	922	17	it	-PRON-	PRP
14725	922	18	be	be	VB
14725	922	19	supposed	suppose	VBN
14725	922	20	that	that	IN
14725	922	21	the	the	DT
14725	922	22	rays	ray	NNS
14725	922	23	which	which	WDT
14725	922	24	fall	fall	VBP
14725	922	25	on	on	IN
14725	922	26	the	the	DT
14725	922	27	surface	surface	NN
14725	922	28	AK	AK	NNP
14725	922	29	tend	tend	VBP
14725	922	30	to	to	IN
14725	922	31	this	this	DT
14725	922	32	point	point	NN
14725	922	33	,	,	,
14725	922	34	and	and	CC
14725	922	35	that	that	IN
14725	922	36	it	-PRON-	PRP
14725	922	37	is	be	VBZ
14725	922	38	required	require	VBN
14725	922	39	to	to	TO
14725	922	40	find	find	VB
14725	922	41	the	the	DT
14725	922	42	surface	surface	NN
14725	922	43	BD	BD	NNP
14725	922	44	,	,	,
14725	922	45	which	which	WDT
14725	922	46	on	on	IN
14725	922	47	their	-PRON-	PRP$
14725	922	48	emergence	emergence	NN
14725	922	49	from	from	IN
14725	922	50	the	the	DT
14725	922	51	glass	glass	NN
14725	922	52	turns	turn	VBZ
14725	922	53	them	-PRON-	PRP
14725	922	54	as	as	IN
14725	922	55	if	if	IN
14725	922	56	they	-PRON-	PRP
14725	922	57	came	come	VBD
14725	922	58	from	from	IN
14725	922	59	the	the	DT
14725	922	60	point	point	NN
14725	922	61	F	F	NNP
14725	922	62	in	in	IN
14725	922	63	front	front	NN
14725	922	64	of	of	IN
14725	922	65	the	the	DT
14725	922	66	glass	glass	NN
14725	922	67	.	.	.
14725	923	1	Having	have	VBG
14725	923	2	taken	take	VBN
14725	923	3	any	any	DT
14725	923	4	point	point	NN
14725	923	5	G	g	NN
14725	923	6	in	in	IN
14725	923	7	the	the	DT
14725	923	8	line	line	NN
14725	923	9	AK	AK	NNP
14725	923	10	,	,	,
14725	923	11	and	and	CC
14725	923	12	drawing	draw	VBG
14725	923	13	the	the	DT
14725	923	14	straight	straight	JJ
14725	923	15	line	line	NN
14725	923	16	IGL	IGL	NNP
14725	923	17	,	,	,
14725	923	18	its	-PRON-	PRP$
14725	923	19	part	part	NN
14725	923	20	GI	GI	NNP
14725	923	21	will	will	MD
14725	923	22	represent	represent	VB
14725	923	23	one	one	CD
14725	923	24	of	of	IN
14725	923	25	the	the	DT
14725	923	26	incident	incident	NN
14725	923	27	rays	ray	NNS
14725	923	28	,	,	,
14725	923	29	the	the	DT
14725	923	30	refraction	refraction	NN
14725	923	31	of	of	IN
14725	923	32	which	which	WDT
14725	923	33	,	,	,
14725	923	34	GV	GV	NNP
14725	923	35	,	,	,
14725	923	36	will	will	MD
14725	923	37	then	then	RB
14725	923	38	be	be	VB
14725	923	39	found	find	VBN
14725	923	40	:	:	:
14725	923	41	and	and	CC
14725	923	42	it	-PRON-	PRP
14725	923	43	is	be	VBZ
14725	923	44	in	in	IN
14725	923	45	this	this	DT
14725	923	46	line	line	NN
14725	923	47	that	that	WDT
14725	923	48	we	-PRON-	PRP
14725	923	49	must	must	MD
14725	923	50	find	find	VB
14725	923	51	the	the	DT
14725	923	52	point	point	NN
14725	923	53	D	d	NN
14725	923	54	,	,	,
14725	923	55	one	one	CD
14725	923	56	of	of	IN
14725	923	57	those	those	DT
14725	923	58	through	through	IN
14725	923	59	which	which	WDT
14725	923	60	the	the	DT
14725	923	61	curve	curve	NN
14725	923	62	DG	DG	NNP
14725	923	63	ought	ought	MD
14725	923	64	to	to	TO
14725	923	65	pass	pass	VB
14725	923	66	.	.	.
14725	924	1	Let	let	VB
14725	924	2	us	-PRON-	PRP
14725	924	3	suppose	suppose	VB
14725	924	4	that	that	IN
14725	924	5	it	-PRON-	PRP
14725	924	6	has	have	VBZ
14725	924	7	been	be	VBN
14725	924	8	found	find	VBN
14725	924	9	:	:	:
14725	924	10	and	and	CC
14725	924	11	about	about	IN
14725	924	12	L	L	NNP
14725	924	13	as	as	IN
14725	924	14	centre	centre	NN
14725	924	15	let	let	VBD
14725	924	16	there	there	EX
14725	924	17	be	be	VB
14725	924	18	described	describe	VBN
14725	924	19	GT	GT	NNP
14725	924	20	,	,	,
14725	924	21	the	the	DT
14725	924	22	arc	arc	NN
14725	924	23	of	of	IN
14725	924	24	a	a	DT
14725	924	25	circle	circle	NN
14725	924	26	cutting	cut	VBG
14725	924	27	the	the	DT
14725	924	28	straight	straight	JJ
14725	924	29	line	line	NN
14725	924	30	AB	ab	NN
14725	924	31	at	at	IN
14725	924	32	T	T	NNP
14725	924	33	,	,	,
14725	924	34	in	in	IN
14725	924	35	case	case	NN
14725	924	36	the	the	DT
14725	924	37	distance	distance	NN
14725	924	38	LG	LG	NNP
14725	924	39	is	be	VBZ
14725	924	40	greater	great	JJR
14725	924	41	than	than	IN
14725	924	42	LA	LA	NNP
14725	924	43	;	;	:
14725	924	44	for	for	IN
14725	924	45	otherwise	otherwise	RB
14725	924	46	the	the	DT
14725	924	47	arc	arc	NN
14725	924	48	AH	AH	NNP
14725	924	49	must	must	MD
14725	924	50	be	be	VB
14725	924	51	described	describe	VBN
14725	924	52	about	about	IN
14725	924	53	the	the	DT
14725	924	54	same	same	JJ
14725	924	55	centre	centre	NN
14725	924	56	,	,	,
14725	924	57	cutting	cut	VBG
14725	924	58	the	the	DT
14725	924	59	straight	straight	JJ
14725	924	60	line	line	NN
14725	924	61	LG	LG	NNP
14725	924	62	at	at	IN
14725	924	63	H.	H.	NNP
14725	924	64	This	this	DT
14725	924	65	arc	arc	NN
14725	924	66	GT	GT	NNP
14725	924	67	(	(	-LRB-
14725	924	68	or	or	CC
14725	924	69	AH	AH	NNP
14725	924	70	,	,	,
14725	924	71	in	in	IN
14725	924	72	the	the	DT
14725	924	73	other	other	JJ
14725	924	74	case	case	NN
14725	924	75	)	)	-RRB-
14725	924	76	will	will	MD
14725	924	77	represent	represent	VB
14725	924	78	an	an	DT
14725	924	79	incident	incident	NN
14725	924	80	wave	wave	NN
14725	924	81	of	of	IN
14725	924	82	light	light	NN
14725	924	83	,	,	,
14725	924	84	the	the	DT
14725	924	85	rays	ray	NNS
14725	924	86	of	of	IN
14725	924	87	which	which	WDT
14725	924	88	tend	tend	VBP
14725	924	89	towards	towards	IN
14725	924	90	L.	L.	NNP
14725	924	91	Similarly	Similarly	NNP
14725	924	92	,	,	,
14725	924	93	about	about	IN
14725	924	94	the	the	DT
14725	924	95	centre	centre	NN
14725	924	96	F	F	NNP
14725	924	97	let	let	VBD
14725	924	98	there	there	EX
14725	924	99	be	be	VB
14725	924	100	described	describe	VBN
14725	924	101	the	the	DT
14725	924	102	circular	circular	JJ
14725	924	103	arc	arc	NN
14725	924	104	DQ	DQ	NNP
14725	924	105	,	,	,
14725	924	106	which	which	WDT
14725	924	107	will	will	MD
14725	924	108	represent	represent	VB
14725	924	109	a	a	DT
14725	924	110	wave	wave	NN
14725	924	111	emanating	emanate	VBG
14725	924	112	from	from	IN
14725	924	113	the	the	DT
14725	924	114	point	point	NN
14725	924	115	F.	F.	NNP
14725	924	116	Then	then	RB
14725	924	117	the	the	DT
14725	924	118	wave	wave	NN
14725	924	119	TG	TG	NNP
14725	924	120	,	,	,
14725	924	121	after	after	IN
14725	924	122	having	have	VBG
14725	924	123	passed	pass	VBN
14725	924	124	through	through	IN
14725	924	125	the	the	DT
14725	924	126	glass	glass	NN
14725	924	127	,	,	,
14725	924	128	must	must	MD
14725	924	129	form	form	VB
14725	924	130	the	the	DT
14725	924	131	wave	wave	NN
14725	924	132	QD	QD	NNP
14725	924	133	;	;	:
14725	924	134	and	and	CC
14725	924	135	for	for	IN
14725	924	136	this	this	DT
14725	924	137	I	-PRON-	PRP
14725	924	138	observe	observe	VBP
14725	924	139	that	that	IN
14725	924	140	the	the	DT
14725	924	141	time	time	NN
14725	924	142	taken	take	VBN
14725	924	143	by	by	IN
14725	924	144	the	the	DT
14725	924	145	light	light	NN
14725	924	146	along	along	IN
14725	924	147	GD	GD	NNP
14725	924	148	in	in	IN
14725	924	149	the	the	DT
14725	924	150	glass	glass	NN
14725	924	151	must	must	MD
14725	924	152	be	be	VB
14725	924	153	equal	equal	JJ
14725	924	154	to	to	IN
14725	924	155	that	that	DT
14725	924	156	taken	take	VBN
14725	924	157	along	along	RP
14725	924	158	the	the	DT
14725	924	159	three	three	CD
14725	924	160	,	,	,
14725	924	161	TA	TA	NNP
14725	924	162	,	,	,
14725	924	163	AB	AB	NNP
14725	924	164	,	,	,
14725	924	165	and	and	CC
14725	924	166	BQ	BQ	NNP
14725	924	167	,	,	,
14725	924	168	of	of	IN
14725	924	169	which	which	WDT
14725	924	170	AB	AB	NNP
14725	924	171	alone	alone	RB
14725	924	172	is	be	VBZ
14725	924	173	within	within	IN
14725	924	174	the	the	DT
14725	924	175	glass	glass	NN
14725	924	176	.	.	.
14725	925	1	Or	or	CC
14725	925	2	rather	rather	RB
14725	925	3	,	,	,
14725	925	4	having	have	VBG
14725	925	5	taken	take	VBN
14725	925	6	AS	as	RB
14725	925	7	equal	equal	JJ
14725	925	8	to	to	IN
14725	925	9	2/3	2/3	CD
14725	925	10	of	of	IN
14725	925	11	AT	AT	NNP
14725	925	12	,	,	,
14725	925	13	I	-PRON-	PRP
14725	925	14	observe	observe	VBP
14725	925	15	that	that	IN
14725	925	16	3/2	3/2	CD
14725	925	17	of	of	IN
14725	925	18	GD	GD	NNP
14725	925	19	ought	ought	MD
14725	925	20	to	to	TO
14725	925	21	be	be	VB
14725	925	22	equal	equal	JJ
14725	925	23	to	to	IN
14725	925	24	3/2	3/2	CD
14725	925	25	of	of	IN
14725	925	26	SB	SB	NNP
14725	925	27	,	,	,
14725	925	28	plus	plus	CC
14725	925	29	BQ	BQ	NNP
14725	925	30	;	;	:
14725	925	31	and	and	CC
14725	925	32	,	,	,
14725	925	33	deducting	deduct	VBG
14725	925	34	both	both	DT
14725	925	35	of	of	IN
14725	925	36	them	-PRON-	PRP
14725	925	37	from	from	IN
14725	925	38	FD	FD	NNP
14725	925	39	or	or	CC
14725	925	40	FQ	FQ	NNP
14725	925	41	,	,	,
14725	925	42	that	that	DT
14725	925	43	FD	FD	NNP
14725	925	44	less	less	JJR
14725	925	45	3/2	3/2	CD
14725	925	46	of	of	IN
14725	925	47	GD	GD	NNP
14725	925	48	ought	ought	MD
14725	925	49	to	to	TO
14725	925	50	be	be	VB
14725	925	51	equal	equal	JJ
14725	925	52	to	to	IN
14725	925	53	FB	FB	NNP
14725	925	54	less	less	JJR
14725	925	55	3/2	3/2	CD
14725	925	56	of	of	IN
14725	925	57	SB	SB	NNP
14725	925	58	.	.	.
14725	926	1	And	and	CC
14725	926	2	this	this	DT
14725	926	3	last	last	JJ
14725	926	4	difference	difference	NN
14725	926	5	is	be	VBZ
14725	926	6	a	a	DT
14725	926	7	given	give	VBN
14725	926	8	length	length	NN
14725	926	9	:	:	:
14725	926	10	and	and	CC
14725	926	11	all	all	PDT
14725	926	12	that	that	WDT
14725	926	13	is	be	VBZ
14725	926	14	required	require	VBN
14725	926	15	is	be	VBZ
14725	926	16	to	to	TO
14725	926	17	draw	draw	VB
14725	926	18	the	the	DT
14725	926	19	straight	straight	JJ
14725	926	20	line	line	NN
14725	926	21	FD	FD	NNP
14725	926	22	from	from	IN
14725	926	23	the	the	DT
14725	926	24	given	give	VBN
14725	926	25	point	point	NN
14725	926	26	F	F	NNP
14725	926	27	to	to	TO
14725	926	28	meet	meet	VB
14725	926	29	VG	VG	NNP
14725	926	30	so	so	IN
14725	926	31	that	that	IN
14725	926	32	it	-PRON-	PRP
14725	926	33	may	may	MD
14725	926	34	be	be	VB
14725	926	35	thus	thus	RB
14725	926	36	.	.	.
14725	927	1	Which	which	WDT
14725	927	2	is	be	VBZ
14725	927	3	a	a	DT
14725	927	4	problem	problem	NN
14725	927	5	quite	quite	RB
14725	927	6	similar	similar	JJ
14725	927	7	to	to	IN
14725	927	8	that	that	DT
14725	927	9	which	which	WDT
14725	927	10	served	serve	VBD
14725	927	11	for	for	IN
14725	927	12	the	the	DT
14725	927	13	first	first	JJ
14725	927	14	of	of	IN
14725	927	15	these	these	DT
14725	927	16	constructions	construction	NNS
14725	927	17	,	,	,
14725	927	18	where	where	WRB
14725	927	19	FD	FD	NNP
14725	927	20	plus	plus	CC
14725	927	21	3/2	3/2	CD
14725	927	22	of	of	IN
14725	927	23	GD	GD	NNP
14725	927	24	had	have	VBD
14725	927	25	to	to	TO
14725	927	26	be	be	VB
14725	927	27	equal	equal	JJ
14725	927	28	to	to	IN
14725	927	29	a	a	DT
14725	927	30	given	give	VBN
14725	927	31	length	length	NN
14725	927	32	.	.	.
14725	928	1	In	in	IN
14725	928	2	the	the	DT
14725	928	3	demonstration	demonstration	NN
14725	928	4	it	-PRON-	PRP
14725	928	5	is	be	VBZ
14725	928	6	to	to	TO
14725	928	7	be	be	VB
14725	928	8	observed	observe	VBN
14725	928	9	that	that	IN
14725	928	10	,	,	,
14725	928	11	since	since	IN
14725	928	12	the	the	DT
14725	928	13	arc	arc	NNP
14725	928	14	BC	BC	NNP
14725	928	15	falls	fall	VBZ
14725	928	16	within	within	IN
14725	928	17	the	the	DT
14725	928	18	glass	glass	NN
14725	928	19	,	,	,
14725	928	20	there	there	EX
14725	928	21	must	must	MD
14725	928	22	be	be	VB
14725	928	23	conceived	conceive	VBN
14725	928	24	an	an	DT
14725	928	25	arc	arc	NNP
14725	928	26	RX	RX	NNP
14725	928	27	,	,	,
14725	928	28	concentric	concentric	VBG
14725	928	29	with	with	IN
14725	928	30	it	-PRON-	PRP
14725	928	31	and	and	CC
14725	928	32	on	on	IN
14725	928	33	the	the	DT
14725	928	34	other	other	JJ
14725	928	35	side	side	NN
14725	928	36	of	of	IN
14725	928	37	QD	QD	NNP
14725	928	38	.	.	.
14725	929	1	Then	then	RB
14725	929	2	after	after	IN
14725	929	3	it	-PRON-	PRP
14725	929	4	shall	shall	MD
14725	929	5	have	have	VB
14725	929	6	been	be	VBN
14725	929	7	shown	show	VBN
14725	929	8	that	that	IN
14725	929	9	the	the	DT
14725	929	10	piece	piece	NN
14725	929	11	G	g	NN
14725	929	12	of	of	IN
14725	929	13	the	the	DT
14725	929	14	wave	wave	NN
14725	929	15	GT	GT	NNP
14725	929	16	arrives	arrive	VBZ
14725	929	17	at	at	IN
14725	929	18	D	d	NN
14725	929	19	at	at	IN
14725	929	20	the	the	DT
14725	929	21	same	same	JJ
14725	929	22	time	time	NN
14725	929	23	that	that	WDT
14725	929	24	the	the	DT
14725	929	25	piece	piece	NN
14725	929	26	T	T	NNP
14725	929	27	arrives	arrive	VBZ
14725	929	28	at	at	IN
14725	929	29	Q	Q	NNP
14725	929	30	,	,	,
14725	929	31	which	which	WDT
14725	929	32	is	be	VBZ
14725	929	33	easily	easily	RB
14725	929	34	deduced	deduce	VBN
14725	929	35	from	from	IN
14725	929	36	the	the	DT
14725	929	37	construction	construction	NN
14725	929	38	,	,	,
14725	929	39	it	-PRON-	PRP
14725	929	40	will	will	MD
14725	929	41	be	be	VB
14725	929	42	evident	evident	JJ
14725	929	43	as	as	IN
14725	929	44	a	a	DT
14725	929	45	consequence	consequence	NN
14725	929	46	that	that	IN
14725	929	47	the	the	DT
14725	929	48	partial	partial	JJ
14725	929	49	wave	wave	NN
14725	929	50	generated	generate	VBN
14725	929	51	at	at	IN
14725	929	52	the	the	DT
14725	929	53	point	point	NN
14725	929	54	D	d	NN
14725	929	55	will	will	MD
14725	929	56	touch	touch	VB
14725	929	57	the	the	DT
14725	929	58	arc	arc	NN
14725	929	59	RX	RX	NNP
14725	929	60	at	at	IN
14725	929	61	the	the	DT
14725	929	62	moment	moment	NN
14725	929	63	when	when	WRB
14725	929	64	the	the	DT
14725	929	65	piece	piece	NN
14725	929	66	Q	q	NN
14725	929	67	shall	shall	MD
14725	929	68	have	have	VB
14725	929	69	come	come	VBN
14725	929	70	to	to	IN
14725	929	71	R	r	NN
14725	929	72	,	,	,
14725	929	73	and	and	CC
14725	929	74	that	that	IN
14725	929	75	thus	thus	RB
14725	929	76	this	this	DT
14725	929	77	arc	arc	NN
14725	929	78	will	will	MD
14725	929	79	at	at	IN
14725	929	80	the	the	DT
14725	929	81	same	same	JJ
14725	929	82	moment	moment	NN
14725	929	83	be	be	VB
14725	929	84	the	the	DT
14725	929	85	termination	termination	NN
14725	929	86	of	of	IN
14725	929	87	the	the	DT
14725	929	88	movement	movement	NN
14725	929	89	that	that	WDT
14725	929	90	comes	come	VBZ
14725	929	91	from	from	IN
14725	929	92	the	the	DT
14725	929	93	wave	wave	NN
14725	929	94	TG	TG	NNP
14725	929	95	;	;	:
14725	929	96	whence	whence	NN
14725	929	97	all	all	PDT
14725	929	98	the	the	DT
14725	929	99	rest	rest	NN
14725	929	100	may	may	MD
14725	929	101	be	be	VB
14725	929	102	concluded	conclude	VBN
14725	929	103	.	.	.
14725	930	1	Having	have	VBG
14725	930	2	shown	show	VBN
14725	930	3	the	the	DT
14725	930	4	method	method	NN
14725	930	5	of	of	IN
14725	930	6	finding	find	VBG
14725	930	7	these	these	DT
14725	930	8	curved	curved	JJ
14725	930	9	lines	line	NNS
14725	930	10	which	which	WDT
14725	930	11	serve	serve	VBP
14725	930	12	for	for	IN
14725	930	13	the	the	DT
14725	930	14	perfect	perfect	JJ
14725	930	15	concurrence	concurrence	NN
14725	930	16	of	of	IN
14725	930	17	the	the	DT
14725	930	18	rays	ray	NNS
14725	930	19	,	,	,
14725	930	20	there	there	EX
14725	930	21	remains	remain	VBZ
14725	930	22	to	to	TO
14725	930	23	be	be	VB
14725	930	24	explained	explain	VBN
14725	930	25	a	a	DT
14725	930	26	notable	notable	JJ
14725	930	27	thing	thing	NN
14725	930	28	touching	touch	VBG
14725	930	29	the	the	DT
14725	930	30	uncoordinated	uncoordinated	JJ
14725	930	31	refraction	refraction	NN
14725	930	32	of	of	IN
14725	930	33	spherical	spherical	JJ
14725	930	34	,	,	,
14725	930	35	plane	plane	NN
14725	930	36	,	,	,
14725	930	37	and	and	CC
14725	930	38	other	other	JJ
14725	930	39	surfaces	surface	NNS
14725	930	40	:	:	:
14725	930	41	an	an	DT
14725	930	42	effect	effect	NN
14725	930	43	which	which	WDT
14725	930	44	if	if	IN
14725	930	45	ignored	ignore	VBN
14725	930	46	might	may	MD
14725	930	47	cause	cause	VB
14725	930	48	some	some	DT
14725	930	49	doubt	doubt	NN
14725	930	50	concerning	concern	VBG
14725	930	51	what	what	WP
14725	930	52	we	-PRON-	PRP
14725	930	53	have	have	VBP
14725	930	54	several	several	JJ
14725	930	55	times	time	NNS
14725	930	56	said	say	VBD
14725	930	57	,	,	,
14725	930	58	that	that	IN
14725	930	59	rays	ray	NNS
14725	930	60	of	of	IN
14725	930	61	light	light	NN
14725	930	62	are	be	VBP
14725	930	63	straight	straight	JJ
14725	930	64	lines	line	NNS
14725	930	65	which	which	WDT
14725	930	66	intersect	intersect	VBP
14725	930	67	at	at	IN
14725	930	68	right	right	JJ
14725	930	69	angles	angle	NNS
14725	930	70	the	the	DT
14725	930	71	waves	wave	NNS
14725	930	72	which	which	WDT
14725	930	73	travel	travel	VBP
14725	930	74	along	along	IN
14725	930	75	them	-PRON-	PRP
14725	930	76	.	.	.
14725	931	1	[	[	-LRB-
14725	931	2	Illustration	illustration	NN
14725	931	3	]	]	-RRB-
14725	931	4	For	for	IN
14725	931	5	in	in	IN
14725	931	6	the	the	DT
14725	931	7	case	case	NN
14725	931	8	of	of	IN
14725	931	9	rays	ray	NNS
14725	931	10	which	which	WDT
14725	931	11	,	,	,
14725	931	12	for	for	IN
14725	931	13	example	example	NN
14725	931	14	,	,	,
14725	931	15	fall	fall	VB
14725	931	16	parallel	parallel	NN
14725	931	17	upon	upon	IN
14725	931	18	a	a	DT
14725	931	19	spherical	spherical	JJ
14725	931	20	surface	surface	NN
14725	931	21	AFE	AFE	NNP
14725	931	22	,	,	,
14725	931	23	intersecting	intersect	VBG
14725	931	24	one	one	CD
14725	931	25	another	another	DT
14725	931	26	,	,	,
14725	931	27	after	after	IN
14725	931	28	refraction	refraction	NN
14725	931	29	,	,	,
14725	931	30	at	at	IN
14725	931	31	different	different	JJ
14725	931	32	points	point	NNS
14725	931	33	,	,	,
14725	931	34	as	as	IN
14725	931	35	this	this	DT
14725	931	36	figure	figure	NN
14725	931	37	represents	represent	VBZ
14725	931	38	;	;	:
14725	931	39	what	what	WP
14725	931	40	can	can	MD
14725	931	41	the	the	DT
14725	931	42	waves	wave	NNS
14725	931	43	of	of	IN
14725	931	44	light	light	NN
14725	931	45	be	be	VB
14725	931	46	,	,	,
14725	931	47	in	in	IN
14725	931	48	this	this	DT
14725	931	49	transparent	transparent	JJ
14725	931	50	body	body	NN
14725	931	51	,	,	,
14725	931	52	which	which	WDT
14725	931	53	are	be	VBP
14725	931	54	cut	cut	VBN
14725	931	55	at	at	IN
14725	931	56	right	right	JJ
14725	931	57	angles	angle	NNS
14725	931	58	by	by	IN
14725	931	59	the	the	DT
14725	931	60	converging	converging	NN
14725	931	61	rays	ray	NNS
14725	931	62	?	?	.
14725	932	1	For	for	IN
14725	932	2	they	-PRON-	PRP
14725	932	3	can	can	MD
14725	932	4	not	not	RB
14725	932	5	be	be	VB
14725	932	6	spherical	spherical	JJ
14725	932	7	.	.	.
14725	933	1	And	and	CC
14725	933	2	what	what	WP
14725	933	3	will	will	MD
14725	933	4	these	these	DT
14725	933	5	waves	wave	NNS
14725	933	6	become	become	VB
14725	933	7	after	after	IN
14725	933	8	the	the	DT
14725	933	9	said	say	VBN
14725	933	10	rays	ray	NNS
14725	933	11	begin	begin	VBP
14725	933	12	to	to	TO
14725	933	13	intersect	intersect	VB
14725	933	14	one	one	NN
14725	933	15	another	another	DT
14725	933	16	?	?	.
14725	934	1	It	-PRON-	PRP
14725	934	2	will	will	MD
14725	934	3	be	be	VB
14725	934	4	seen	see	VBN
14725	934	5	in	in	IN
14725	934	6	the	the	DT
14725	934	7	solution	solution	NN
14725	934	8	of	of	IN
14725	934	9	this	this	DT
14725	934	10	difficulty	difficulty	NN
14725	934	11	that	that	IN
14725	934	12	something	something	NN
14725	934	13	very	very	RB
14725	934	14	remarkable	remarkable	JJ
14725	934	15	comes	come	VBZ
14725	934	16	to	to	TO
14725	934	17	pass	pass	VB
14725	934	18	herein	herein	NNP
14725	934	19	,	,	,
14725	934	20	and	and	CC
14725	934	21	that	that	IN
14725	934	22	the	the	DT
14725	934	23	waves	wave	NNS
14725	934	24	do	do	VBP
14725	934	25	not	not	RB
14725	934	26	cease	cease	VB
14725	934	27	to	to	TO
14725	934	28	persist	persist	VB
14725	934	29	though	though	IN
14725	934	30	they	-PRON-	PRP
14725	934	31	do	do	VBP
14725	934	32	not	not	RB
14725	934	33	continue	continue	VB
14725	934	34	entire	entire	JJ
14725	934	35	,	,	,
14725	934	36	as	as	IN
14725	934	37	when	when	WRB
14725	934	38	they	-PRON-	PRP
14725	934	39	cross	cross	VBP
14725	934	40	the	the	DT
14725	934	41	glasses	glass	NNS
14725	934	42	designed	design	VBN
14725	934	43	according	accord	VBG
14725	934	44	to	to	IN
14725	934	45	the	the	DT
14725	934	46	construction	construction	NN
14725	934	47	we	-PRON-	PRP
14725	934	48	have	have	VBP
14725	934	49	seen	see	VBN
14725	934	50	.	.	.
14725	935	1	According	accord	VBG
14725	935	2	to	to	IN
14725	935	3	what	what	WP
14725	935	4	has	have	VBZ
14725	935	5	been	be	VBN
14725	935	6	shown	show	VBN
14725	935	7	above	above	IN
14725	935	8	,	,	,
14725	935	9	the	the	DT
14725	935	10	straight	straight	JJ
14725	935	11	line	line	NN
14725	935	12	AD	ad	NN
14725	935	13	,	,	,
14725	935	14	which	which	WDT
14725	935	15	has	have	VBZ
14725	935	16	been	be	VBN
14725	935	17	drawn	draw	VBN
14725	935	18	at	at	IN
14725	935	19	the	the	DT
14725	935	20	summit	summit	NN
14725	935	21	of	of	IN
14725	935	22	the	the	DT
14725	935	23	sphere	sphere	NN
14725	935	24	,	,	,
14725	935	25	at	at	IN
14725	935	26	right	right	JJ
14725	935	27	angles	angle	NNS
14725	935	28	to	to	IN
14725	935	29	the	the	DT
14725	935	30	axis	axis	NNP
14725	935	31	parallel	parallel	JJ
14725	935	32	to	to	TO
14725	935	33	which	which	WDT
14725	935	34	the	the	DT
14725	935	35	rays	ray	NNS
14725	935	36	come	come	VBP
14725	935	37	,	,	,
14725	935	38	represents	represent	VBZ
14725	935	39	the	the	DT
14725	935	40	wave	wave	NN
14725	935	41	of	of	IN
14725	935	42	light	light	NN
14725	935	43	;	;	:
14725	935	44	and	and	CC
14725	935	45	in	in	IN
14725	935	46	the	the	DT
14725	935	47	time	time	NN
14725	935	48	taken	take	VBN
14725	935	49	by	by	IN
14725	935	50	its	-PRON-	PRP$
14725	935	51	piece	piece	NN
14725	935	52	D	d	NN
14725	935	53	to	to	TO
14725	935	54	reach	reach	VB
14725	935	55	the	the	DT
14725	935	56	spherical	spherical	JJ
14725	935	57	surface	surface	NN
14725	935	58	AGE	age	NN
14725	935	59	at	at	IN
14725	935	60	E	e	NN
14725	935	61	,	,	,
14725	935	62	its	-PRON-	PRP$
14725	935	63	other	other	JJ
14725	935	64	parts	part	NNS
14725	935	65	will	will	MD
14725	935	66	have	have	VB
14725	935	67	met	meet	VBN
14725	935	68	the	the	DT
14725	935	69	same	same	JJ
14725	935	70	surface	surface	NN
14725	935	71	at	at	IN
14725	935	72	F	F	NNP
14725	935	73	,	,	,
14725	935	74	G	G	NNP
14725	935	75	,	,	,
14725	935	76	H	h	NN
14725	935	77	,	,	,
14725	935	78	etc	etc	FW
14725	935	79	.	.	FW
14725	935	80	,	,	,
14725	935	81	and	and	CC
14725	935	82	will	will	MD
14725	935	83	have	have	VB
14725	935	84	also	also	RB
14725	935	85	formed	form	VBN
14725	935	86	spherical	spherical	JJ
14725	935	87	partial	partial	JJ
14725	935	88	waves	wave	NNS
14725	935	89	of	of	IN
14725	935	90	which	which	WDT
14725	935	91	these	these	DT
14725	935	92	points	point	NNS
14725	935	93	are	be	VBP
14725	935	94	the	the	DT
14725	935	95	centres	centre	NNS
14725	935	96	.	.	.
14725	936	1	And	and	CC
14725	936	2	the	the	DT
14725	936	3	surface	surface	NN
14725	936	4	EK	EK	NNP
14725	936	5	which	which	WDT
14725	936	6	all	all	PDT
14725	936	7	those	those	DT
14725	936	8	waves	wave	NNS
14725	936	9	will	will	MD
14725	936	10	touch	touch	VB
14725	936	11	,	,	,
14725	936	12	will	will	MD
14725	936	13	be	be	VB
14725	936	14	the	the	DT
14725	936	15	continuation	continuation	NN
14725	936	16	of	of	IN
14725	936	17	the	the	DT
14725	936	18	wave	wave	NN
14725	936	19	AD	ad	NN
14725	936	20	in	in	IN
14725	936	21	the	the	DT
14725	936	22	sphere	sphere	NN
14725	936	23	at	at	IN
14725	936	24	the	the	DT
14725	936	25	moment	moment	NN
14725	936	26	when	when	WRB
14725	936	27	the	the	DT
14725	936	28	piece	piece	NN
14725	936	29	D	d	NN
14725	936	30	has	have	VBZ
14725	936	31	reached	reach	VBN
14725	936	32	E.	E.	NNP
14725	936	33	Now	now	RB
14725	936	34	the	the	DT
14725	936	35	line	line	NN
14725	936	36	EK	EK	NNP
14725	936	37	is	be	VBZ
14725	936	38	not	not	RB
14725	936	39	an	an	DT
14725	936	40	arc	arc	NN
14725	936	41	of	of	IN
14725	936	42	a	a	DT
14725	936	43	circle	circle	NN
14725	936	44	,	,	,
14725	936	45	but	but	CC
14725	936	46	is	be	VBZ
14725	936	47	a	a	DT
14725	936	48	curved	curved	JJ
14725	936	49	line	line	NN
14725	936	50	formed	form	VBN
14725	936	51	as	as	IN
14725	936	52	the	the	DT
14725	936	53	evolute	evolute	NN
14725	936	54	of	of	IN
14725	936	55	another	another	DT
14725	936	56	curve	curve	NN
14725	936	57	ENC	ENC	NNP
14725	936	58	,	,	,
14725	936	59	which	which	WDT
14725	936	60	touches	touch	VBZ
14725	936	61	all	all	PDT
14725	936	62	the	the	DT
14725	936	63	rays	ray	NNS
14725	936	64	HL	HL	NNP
14725	936	65	,	,	,
14725	936	66	GM	GM	NNP
14725	936	67	,	,	,
14725	936	68	FO	FO	NNP
14725	936	69	,	,	,
14725	936	70	etc	etc	FW
14725	936	71	.	.	FW
14725	936	72	,	,	,
14725	936	73	that	that	WDT
14725	936	74	are	be	VBP
14725	936	75	the	the	DT
14725	936	76	refractions	refraction	NNS
14725	936	77	of	of	IN
14725	936	78	the	the	DT
14725	936	79	parallel	parallel	JJ
14725	936	80	rays	ray	NNS
14725	936	81	,	,	,
14725	936	82	if	if	IN
14725	936	83	we	-PRON-	PRP
14725	936	84	imagine	imagine	VBP
14725	936	85	laid	lay	VBN
14725	936	86	over	over	IN
14725	936	87	the	the	DT
14725	936	88	convexity	convexity	NN
14725	936	89	ENC	ENC	NNP
14725	936	90	a	a	DT
14725	936	91	thread	thread	NN
14725	936	92	which	which	WDT
14725	936	93	in	in	IN
14725	936	94	unwinding	unwind	VBG
14725	936	95	describes	describe	NNS
14725	936	96	at	at	IN
14725	936	97	its	-PRON-	PRP$
14725	936	98	end	end	NN
14725	936	99	E	e	NN
14725	936	100	the	the	DT
14725	936	101	said	say	VBN
14725	936	102	curve	curve	NN
14725	936	103	EK	EK	NNP
14725	936	104	.	.	.
14725	937	1	For	for	IN
14725	937	2	,	,	,
14725	937	3	supposing	suppose	VBG
14725	937	4	that	that	IN
14725	937	5	this	this	DT
14725	937	6	curve	curve	NN
14725	937	7	has	have	VBZ
14725	937	8	been	be	VBN
14725	937	9	thus	thus	RB
14725	937	10	described	describe	VBN
14725	937	11	,	,	,
14725	937	12	we	-PRON-	PRP
14725	937	13	will	will	MD
14725	937	14	show	show	VB
14725	937	15	that	that	IN
14725	937	16	the	the	DT
14725	937	17	said	say	VBN
14725	937	18	waves	wave	NNS
14725	937	19	formed	form	VBN
14725	937	20	from	from	IN
14725	937	21	the	the	DT
14725	937	22	centres	centre	NNS
14725	937	23	F	F	NNP
14725	937	24	,	,	,
14725	937	25	G	G	NNP
14725	937	26	,	,	,
14725	937	27	H	h	NN
14725	937	28	,	,	,
14725	937	29	etc	etc	FW
14725	937	30	.	.	.
14725	937	31	,	,	,
14725	937	32	will	will	MD
14725	937	33	all	all	RB
14725	937	34	touch	touch	VB
14725	937	35	it	-PRON-	PRP
14725	937	36	.	.	.
14725	938	1	It	-PRON-	PRP
14725	938	2	is	be	VBZ
14725	938	3	certain	certain	JJ
14725	938	4	that	that	IN
14725	938	5	the	the	DT
14725	938	6	curve	curve	NN
14725	938	7	EK	EK	NNP
14725	938	8	and	and	CC
14725	938	9	all	all	PDT
14725	938	10	the	the	DT
14725	938	11	others	other	NNS
14725	938	12	described	describe	VBN
14725	938	13	by	by	IN
14725	938	14	the	the	DT
14725	938	15	evolution	evolution	NN
14725	938	16	of	of	IN
14725	938	17	the	the	DT
14725	938	18	curve	curve	NN
14725	938	19	ENC	ENC	NNP
14725	938	20	,	,	,
14725	938	21	with	with	IN
14725	938	22	different	different	JJ
14725	938	23	lengths	length	NNS
14725	938	24	of	of	IN
14725	938	25	thread	thread	NN
14725	938	26	,	,	,
14725	938	27	will	will	MD
14725	938	28	cut	cut	VB
14725	938	29	all	all	PDT
14725	938	30	the	the	DT
14725	938	31	rays	ray	NNS
14725	938	32	HL	HL	NNP
14725	938	33	,	,	,
14725	938	34	GM	GM	NNP
14725	938	35	,	,	,
14725	938	36	FO	FO	NNP
14725	938	37	,	,	,
14725	938	38	etc	etc	FW
14725	938	39	.	.	FW
14725	938	40	,	,	,
14725	938	41	at	at	IN
14725	938	42	right	right	JJ
14725	938	43	angles	angle	NNS
14725	938	44	,	,	,
14725	938	45	and	and	CC
14725	938	46	in	in	IN
14725	938	47	such	such	JJ
14725	938	48	wise	wise	JJ
14725	938	49	that	that	IN
14725	938	50	the	the	DT
14725	938	51	parts	part	NNS
14725	938	52	of	of	IN
14725	938	53	them	-PRON-	PRP
14725	938	54	intercepted	intercept	VBD
14725	938	55	between	between	IN
14725	938	56	two	two	CD
14725	938	57	such	such	JJ
14725	938	58	curves	curve	NNS
14725	938	59	will	will	MD
14725	938	60	all	all	DT
14725	938	61	be	be	VB
14725	938	62	equal	equal	JJ
14725	938	63	;	;	:
14725	938	64	for	for	IN
14725	938	65	this	this	DT
14725	938	66	follows	follow	VBZ
14725	938	67	from	from	IN
14725	938	68	what	what	WP
14725	938	69	has	have	VBZ
14725	938	70	been	be	VBN
14725	938	71	demonstrated	demonstrate	VBN
14725	938	72	in	in	IN
14725	938	73	our	-PRON-	PRP$
14725	938	74	treatise	treatise	NN
14725	938	75	_	_	NNP
14725	938	76	de	de	NNP
14725	938	77	Motu	Motu	NNP
14725	938	78	Pendulorum	Pendulorum	NNP
14725	938	79	_	_	NNP
14725	938	80	.	.	.
14725	939	1	Now	now	RB
14725	939	2	imagining	imagine	VBG
14725	939	3	the	the	DT
14725	939	4	incident	incident	NN
14725	939	5	rays	ray	NNS
14725	939	6	as	as	IN
14725	939	7	being	be	VBG
14725	939	8	infinitely	infinitely	RB
14725	939	9	near	near	RB
14725	939	10	to	to	IN
14725	939	11	one	one	CD
14725	939	12	another	another	DT
14725	939	13	,	,	,
14725	939	14	if	if	IN
14725	939	15	we	-PRON-	PRP
14725	939	16	consider	consider	VBP
14725	939	17	two	two	CD
14725	939	18	of	of	IN
14725	939	19	them	-PRON-	PRP
14725	939	20	,	,	,
14725	939	21	as	as	IN
14725	939	22	RG	RG	NNP
14725	939	23	,	,	,
14725	939	24	TF	TF	NNP
14725	939	25	,	,	,
14725	939	26	and	and	CC
14725	939	27	draw	draw	VB
14725	939	28	GQ	GQ	NNP
14725	939	29	perpendicular	perpendicular	JJ
14725	939	30	to	to	IN
14725	939	31	RG	RG	NNP
14725	939	32	,	,	,
14725	939	33	and	and	CC
14725	939	34	if	if	IN
14725	939	35	we	-PRON-	PRP
14725	939	36	suppose	suppose	VBP
14725	939	37	the	the	DT
14725	939	38	curve	curve	NN
14725	939	39	FS	fs	NN
14725	939	40	which	which	WDT
14725	939	41	intersects	intersect	VBZ
14725	939	42	GM	GM	NNP
14725	939	43	at	at	IN
14725	939	44	P	p	NN
14725	939	45	to	to	TO
14725	939	46	have	have	VB
14725	939	47	been	be	VBN
14725	939	48	described	describe	VBN
14725	939	49	by	by	IN
14725	939	50	evolution	evolution	NN
14725	939	51	from	from	IN
14725	939	52	the	the	DT
14725	939	53	curve	curve	NN
14725	939	54	NC	NC	NNP
14725	939	55	,	,	,
14725	939	56	beginning	begin	VBG
14725	939	57	at	at	IN
14725	939	58	F	F	NNP
14725	939	59	,	,	,
14725	939	60	as	as	RB
14725	939	61	far	far	RB
14725	939	62	as	as	IN
14725	939	63	which	which	WDT
14725	939	64	the	the	DT
14725	939	65	thread	thread	NN
14725	939	66	is	be	VBZ
14725	939	67	supposed	suppose	VBN
14725	939	68	to	to	TO
14725	939	69	extend	extend	VB
14725	939	70	,	,	,
14725	939	71	we	-PRON-	PRP
14725	939	72	may	may	MD
14725	939	73	assume	assume	VB
14725	939	74	the	the	DT
14725	939	75	small	small	JJ
14725	939	76	piece	piece	NN
14725	939	77	FP	FP	NNP
14725	939	78	as	as	IN
14725	939	79	a	a	DT
14725	939	80	straight	straight	JJ
14725	939	81	line	line	NN
14725	939	82	perpendicular	perpendicular	JJ
14725	939	83	to	to	IN
14725	939	84	the	the	DT
14725	939	85	ray	ray	NNP
14725	939	86	GM	GM	NNP
14725	939	87	,	,	,
14725	939	88	and	and	CC
14725	939	89	similarly	similarly	RB
14725	939	90	the	the	DT
14725	939	91	arc	arc	NN
14725	939	92	GF	GF	NNP
14725	939	93	as	as	IN
14725	939	94	a	a	DT
14725	939	95	straight	straight	JJ
14725	939	96	line	line	NN
14725	939	97	.	.	.
14725	940	1	But	but	CC
14725	940	2	GM	GM	NNP
14725	940	3	being	be	VBG
14725	940	4	the	the	DT
14725	940	5	refraction	refraction	NN
14725	940	6	of	of	IN
14725	940	7	the	the	DT
14725	940	8	ray	ray	NN
14725	940	9	RG	RG	NNP
14725	940	10	,	,	,
14725	940	11	and	and	CC
14725	940	12	FP	FP	NNP
14725	940	13	being	be	VBG
14725	940	14	perpendicular	perpendicular	JJ
14725	940	15	to	to	IN
14725	940	16	it	-PRON-	PRP
14725	940	17	,	,	,
14725	940	18	QF	QF	NNP
14725	940	19	must	must	MD
14725	940	20	be	be	VB
14725	940	21	to	to	IN
14725	940	22	GP	GP	NNP
14725	940	23	as	as	IN
14725	940	24	3	3	CD
14725	940	25	to	to	IN
14725	940	26	2	2	CD
14725	940	27	,	,	,
14725	940	28	that	that	DT
14725	940	29	is	be	VBZ
14725	940	30	to	to	TO
14725	940	31	say	say	VB
14725	940	32	in	in	IN
14725	940	33	the	the	DT
14725	940	34	proportion	proportion	NN
14725	940	35	of	of	IN
14725	940	36	the	the	DT
14725	940	37	refraction	refraction	NN
14725	940	38	;	;	:
14725	940	39	as	as	IN
14725	940	40	was	be	VBD
14725	940	41	shown	show	VBN
14725	940	42	above	above	RB
14725	940	43	in	in	IN
14725	940	44	explaining	explain	VBG
14725	940	45	the	the	DT
14725	940	46	discovery	discovery	NN
14725	940	47	of	of	IN
14725	940	48	Des	Des	NNP
14725	940	49	Cartes	Cartes	NNP
14725	940	50	.	.	.
14725	941	1	And	and	CC
14725	941	2	the	the	DT
14725	941	3	same	same	JJ
14725	941	4	thing	thing	NN
14725	941	5	occurs	occur	VBZ
14725	941	6	in	in	IN
14725	941	7	all	all	PDT
14725	941	8	the	the	DT
14725	941	9	small	small	JJ
14725	941	10	arcs	arcs	NN
14725	941	11	GH	GH	NNP
14725	941	12	,	,	,
14725	941	13	HA	HA	NNP
14725	941	14	,	,	,
14725	941	15	etc	etc	FW
14725	941	16	.	.	FW
14725	941	17	,	,	,
14725	941	18	namely	namely	RB
14725	941	19	that	that	IN
14725	941	20	in	in	IN
14725	941	21	the	the	DT
14725	941	22	quadrilaterals	quadrilateral	NNS
14725	941	23	which	which	WDT
14725	941	24	enclose	enclose	VBP
14725	941	25	them	-PRON-	PRP
14725	941	26	the	the	DT
14725	941	27	side	side	NN
14725	941	28	parallel	parallel	NN
14725	941	29	to	to	IN
14725	941	30	the	the	DT
14725	941	31	axis	axis	NN
14725	941	32	is	be	VBZ
14725	941	33	to	to	IN
14725	941	34	the	the	DT
14725	941	35	opposite	opposite	JJ
14725	941	36	side	side	NN
14725	941	37	as	as	IN
14725	941	38	3	3	CD
14725	941	39	to	to	IN
14725	941	40	2	2	CD
14725	941	41	.	.	.
14725	942	1	Then	then	RB
14725	942	2	also	also	RB
14725	942	3	as	as	IN
14725	942	4	3	3	CD
14725	942	5	to	to	IN
14725	942	6	2	2	CD
14725	942	7	will	will	MD
14725	942	8	the	the	DT
14725	942	9	sum	sum	NN
14725	942	10	of	of	IN
14725	942	11	the	the	DT
14725	942	12	one	one	CD
14725	942	13	set	set	NN
14725	942	14	be	be	VB
14725	942	15	to	to	IN
14725	942	16	the	the	DT
14725	942	17	sum	sum	NN
14725	942	18	of	of	IN
14725	942	19	the	the	DT
14725	942	20	other	other	JJ
14725	942	21	;	;	:
14725	942	22	that	that	DT
14725	942	23	is	be	VBZ
14725	942	24	to	to	TO
14725	942	25	say	say	VB
14725	942	26	,	,	,
14725	942	27	TF	TF	NNP
14725	942	28	to	to	IN
14725	942	29	AS	AS	NNP
14725	942	30	,	,	,
14725	942	31	and	and	CC
14725	942	32	DE	DE	NNP
14725	942	33	to	to	IN
14725	942	34	AK	AK	NNP
14725	942	35	,	,	,
14725	942	36	and	and	CC
14725	942	37	BE	be	VB
14725	942	38	to	to	TO
14725	942	39	SK	SK	NNP
14725	942	40	or	or	CC
14725	942	41	DV	DV	NNP
14725	942	42	,	,	,
14725	942	43	supposing	suppose	VBG
14725	942	44	V	v	NN
14725	942	45	to	to	TO
14725	942	46	be	be	VB
14725	942	47	the	the	DT
14725	942	48	intersection	intersection	NN
14725	942	49	of	of	IN
14725	942	50	the	the	DT
14725	942	51	curve	curve	NN
14725	942	52	EK	EK	NNP
14725	942	53	and	and	CC
14725	942	54	the	the	DT
14725	942	55	ray	ray	NN
14725	942	56	FO	FO	NNP
14725	942	57	.	.	.
14725	943	1	But	but	CC
14725	943	2	,	,	,
14725	943	3	making	make	VBG
14725	943	4	FB	FB	NNP
14725	943	5	perpendicular	perpendicular	NN
14725	943	6	to	to	IN
14725	943	7	DE	DE	NNP
14725	943	8	,	,	,
14725	943	9	the	the	DT
14725	943	10	ratio	ratio	NN
14725	943	11	of	of	IN
14725	943	12	3	3	CD
14725	943	13	to	to	IN
14725	943	14	2	2	CD
14725	943	15	is	be	VBZ
14725	943	16	also	also	RB
14725	943	17	that	that	DT
14725	943	18	of	of	IN
14725	943	19	BE	be	NN
14725	943	20	to	to	IN
14725	943	21	the	the	DT
14725	943	22	semi	semi	JJ
14725	943	23	-	-	NN
14725	943	24	diameter	diameter	NN
14725	943	25	of	of	IN
14725	943	26	the	the	DT
14725	943	27	spherical	spherical	JJ
14725	943	28	wave	wave	NN
14725	943	29	which	which	WDT
14725	943	30	emanated	emanate	VBD
14725	943	31	from	from	IN
14725	943	32	the	the	DT
14725	943	33	point	point	NN
14725	943	34	F	f	NN
14725	943	35	while	while	IN
14725	943	36	the	the	DT
14725	943	37	light	light	NN
14725	943	38	outside	outside	IN
14725	943	39	the	the	DT
14725	943	40	transparent	transparent	JJ
14725	943	41	body	body	NN
14725	943	42	traversed	traverse	VBD
14725	943	43	the	the	DT
14725	943	44	space	space	NN
14725	943	45	BE	be	NN
14725	943	46	.	.	.
14725	944	1	Then	then	RB
14725	944	2	it	-PRON-	PRP
14725	944	3	appears	appear	VBZ
14725	944	4	that	that	IN
14725	944	5	this	this	DT
14725	944	6	wave	wave	NN
14725	944	7	will	will	MD
14725	944	8	intersect	intersect	VB
14725	944	9	the	the	DT
14725	944	10	ray	ray	NN
14725	944	11	FM	FM	NNP
14725	944	12	at	at	IN
14725	944	13	the	the	DT
14725	944	14	same	same	JJ
14725	944	15	point	point	NN
14725	944	16	V	v	NN
14725	944	17	where	where	WRB
14725	944	18	it	-PRON-	PRP
14725	944	19	is	be	VBZ
14725	944	20	intersected	intersect	VBN
14725	944	21	at	at	IN
14725	944	22	right	right	JJ
14725	944	23	angles	angle	NNS
14725	944	24	by	by	IN
14725	944	25	the	the	DT
14725	944	26	curve	curve	NN
14725	944	27	EK	EK	NNP
14725	944	28	,	,	,
14725	944	29	and	and	CC
14725	944	30	consequently	consequently	RB
14725	944	31	that	that	IN
14725	944	32	the	the	DT
14725	944	33	wave	wave	NN
14725	944	34	will	will	MD
14725	944	35	touch	touch	VB
14725	944	36	this	this	DT
14725	944	37	curve	curve	NN
14725	944	38	.	.	.
14725	945	1	In	in	IN
14725	945	2	the	the	DT
14725	945	3	same	same	JJ
14725	945	4	way	way	NN
14725	945	5	it	-PRON-	PRP
14725	945	6	can	can	MD
14725	945	7	be	be	VB
14725	945	8	proved	prove	VBN
14725	945	9	that	that	IN
14725	945	10	the	the	DT
14725	945	11	same	same	JJ
14725	945	12	will	will	MD
14725	945	13	apply	apply	VB
14725	945	14	to	to	IN
14725	945	15	all	all	PDT
14725	945	16	the	the	DT
14725	945	17	other	other	JJ
14725	945	18	waves	wave	NNS
14725	945	19	above	above	IN
14725	945	20	mentioned	mention	VBD
14725	945	21	,	,	,
14725	945	22	originating	originate	VBG
14725	945	23	at	at	IN
14725	945	24	the	the	DT
14725	945	25	points	point	NNS
14725	945	26	G	G	NNP
14725	945	27	,	,	,
14725	945	28	H	h	NN
14725	945	29	,	,	,
14725	945	30	etc	etc	FW
14725	945	31	.	.	.
14725	946	1	;	;	:
14725	946	2	to	to	IN
14725	946	3	wit	wit	NN
14725	946	4	,	,	,
14725	946	5	that	that	IN
14725	946	6	they	-PRON-	PRP
14725	946	7	will	will	MD
14725	946	8	touch	touch	VB
14725	946	9	the	the	DT
14725	946	10	curve	curve	NN
14725	946	11	EK	EK	NNP
14725	946	12	at	at	IN
14725	946	13	the	the	DT
14725	946	14	moment	moment	NN
14725	946	15	when	when	WRB
14725	946	16	the	the	DT
14725	946	17	piece	piece	NN
14725	946	18	D	d	NN
14725	946	19	of	of	IN
14725	946	20	the	the	DT
14725	946	21	wave	wave	NN
14725	946	22	ED	ED	NNP
14725	946	23	shall	shall	MD
14725	946	24	have	have	VB
14725	946	25	reached	reach	VBN
14725	946	26	E.	E.	NNP
14725	946	27	Now	now	RB
14725	946	28	to	to	TO
14725	946	29	say	say	VB
14725	946	30	what	what	WP
14725	946	31	these	these	DT
14725	946	32	waves	wave	NNS
14725	946	33	become	become	VBP
14725	946	34	after	after	IN
14725	946	35	the	the	DT
14725	946	36	rays	ray	NNS
14725	946	37	have	have	VBP
14725	946	38	begun	begin	VBN
14725	946	39	to	to	TO
14725	946	40	cross	cross	VB
14725	946	41	one	one	CD
14725	946	42	another	another	DT
14725	946	43	:	:	:
14725	946	44	it	-PRON-	PRP
14725	946	45	is	be	VBZ
14725	946	46	that	that	IN
14725	946	47	from	from	IN
14725	946	48	thence	thence	NN
14725	946	49	they	-PRON-	PRP
14725	946	50	fold	fold	VBP
14725	946	51	back	back	RB
14725	946	52	and	and	CC
14725	946	53	are	be	VBP
14725	946	54	composed	compose	VBN
14725	946	55	of	of	IN
14725	946	56	two	two	CD
14725	946	57	contiguous	contiguous	JJ
14725	946	58	parts	part	NNS
14725	946	59	,	,	,
14725	946	60	one	one	CD
14725	946	61	being	be	VBG
14725	946	62	a	a	DT
14725	946	63	curve	curve	NN
14725	946	64	formed	form	VBN
14725	946	65	as	as	IN
14725	946	66	evolute	evolute	NN
14725	946	67	of	of	IN
14725	946	68	the	the	DT
14725	946	69	curve	curve	NN
14725	946	70	ENC	ENC	NNP
14725	946	71	in	in	IN
14725	946	72	one	one	CD
14725	946	73	sense	sense	NN
14725	946	74	,	,	,
14725	946	75	and	and	CC
14725	946	76	the	the	DT
14725	946	77	other	other	JJ
14725	946	78	as	as	IN
14725	946	79	evolute	evolute	NN
14725	946	80	of	of	IN
14725	946	81	the	the	DT
14725	946	82	same	same	JJ
14725	946	83	curve	curve	NN
14725	946	84	in	in	IN
14725	946	85	the	the	DT
14725	946	86	opposite	opposite	JJ
14725	946	87	sense	sense	NN
14725	946	88	.	.	.
14725	947	1	Thus	thus	RB
14725	947	2	the	the	DT
14725	947	3	wave	wave	NN
14725	947	4	KE	KE	NNP
14725	947	5	,	,	,
14725	947	6	while	while	IN
14725	947	7	advancing	advance	VBG
14725	947	8	toward	toward	IN
14725	947	9	the	the	DT
14725	947	10	meeting	meeting	NN
14725	947	11	place	place	NN
14725	947	12	becomes	become	VBZ
14725	947	13	_	_	NNP
14725	947	14	abc	abc	NNP
14725	947	15	_	_	NNP
14725	947	16	,	,	,
14725	947	17	whereof	whereof	IN
14725	947	18	the	the	DT
14725	947	19	part	part	NN
14725	947	20	_	_	NNP
14725	947	21	ab	ab	NNP
14725	947	22	_	_	NNP
14725	947	23	is	be	VBZ
14725	947	24	made	make	VBN
14725	947	25	by	by	IN
14725	947	26	the	the	DT
14725	947	27	evolute	evolute	NN
14725	947	28	_	_	NNP
14725	947	29	b_C	b_c	RB
14725	947	30	,	,	,
14725	947	31	a	a	DT
14725	947	32	portion	portion	NN
14725	947	33	of	of	IN
14725	947	34	the	the	DT
14725	947	35	curve	curve	NN
14725	947	36	ENC	ENC	NNP
14725	947	37	,	,	,
14725	947	38	while	while	IN
14725	947	39	the	the	DT
14725	947	40	end	end	NN
14725	947	41	C	C	NNP
14725	947	42	remains	remain	VBZ
14725	947	43	attached	attached	JJ
14725	947	44	;	;	:
14725	947	45	and	and	CC
14725	947	46	the	the	DT
14725	947	47	part	part	NN
14725	947	48	_	_	NNP
14725	947	49	bc	bc	NNP
14725	947	50	_	_	NNP
14725	947	51	by	by	IN
14725	947	52	the	the	DT
14725	947	53	evolute	evolute	NN
14725	947	54	of	of	IN
14725	947	55	the	the	DT
14725	947	56	portion	portion	NN
14725	947	57	_	_	NNP
14725	947	58	b_E	b_e	NN
14725	947	59	while	while	IN
14725	947	60	the	the	DT
14725	947	61	end	end	NN
14725	947	62	E	e	NN
14725	947	63	remains	remain	VBZ
14725	947	64	attached	attach	VBN
14725	947	65	.	.	.
14725	948	1	Consequently	consequently	RB
14725	948	2	the	the	DT
14725	948	3	same	same	JJ
14725	948	4	wave	wave	NN
14725	948	5	becomes	become	VBZ
14725	948	6	_	_	NNP
14725	948	7	def	def	NNP
14725	948	8	_	_	NNP
14725	948	9	,	,	,
14725	948	10	then	then	RB
14725	948	11	_	_	NNP
14725	948	12	ghk	ghk	NNP
14725	948	13	_	_	NNP
14725	948	14	,	,	,
14725	948	15	and	and	CC
14725	948	16	finally	finally	RB
14725	948	17	CY	CY	NNP
14725	948	18	,	,	,
14725	948	19	from	from	IN
14725	948	20	whence	whence	NN
14725	948	21	it	-PRON-	PRP
14725	948	22	subsequently	subsequently	RB
14725	948	23	spreads	spread	VBZ
14725	948	24	without	without	IN
14725	948	25	any	any	DT
14725	948	26	fold	fold	NN
14725	948	27	,	,	,
14725	948	28	but	but	CC
14725	948	29	always	always	RB
14725	948	30	along	along	IN
14725	948	31	curved	curved	JJ
14725	948	32	lines	line	NNS
14725	948	33	which	which	WDT
14725	948	34	are	be	VBP
14725	948	35	evolutes	evolute	NNS
14725	948	36	of	of	IN
14725	948	37	the	the	DT
14725	948	38	curve	curve	NN
14725	948	39	ENC	ENC	NNP
14725	948	40	,	,	,
14725	948	41	increased	increase	VBN
14725	948	42	by	by	IN
14725	948	43	some	some	DT
14725	948	44	straight	straight	JJ
14725	948	45	line	line	NN
14725	948	46	at	at	IN
14725	948	47	the	the	DT
14725	948	48	end	end	NN
14725	948	49	C.	C.	NNP
14725	948	50	There	there	EX
14725	948	51	is	be	VBZ
14725	948	52	even	even	RB
14725	948	53	,	,	,
14725	948	54	in	in	IN
14725	948	55	this	this	DT
14725	948	56	curve	curve	NN
14725	948	57	,	,	,
14725	948	58	a	a	DT
14725	948	59	part	part	NN
14725	948	60	EN	en	NN
14725	948	61	which	which	WDT
14725	948	62	is	be	VBZ
14725	948	63	straight	straight	JJ
14725	948	64	,	,	,
14725	948	65	N	n	CC
14725	948	66	being	be	VBG
14725	948	67	the	the	DT
14725	948	68	point	point	NN
14725	948	69	where	where	WRB
14725	948	70	the	the	DT
14725	948	71	perpendicular	perpendicular	JJ
14725	948	72	from	from	IN
14725	948	73	the	the	DT
14725	948	74	centre	centre	NN
14725	948	75	X	x	NN
14725	948	76	of	of	IN
14725	948	77	the	the	DT
14725	948	78	sphere	sphere	NN
14725	948	79	falls	fall	VBZ
14725	948	80	upon	upon	IN
14725	948	81	the	the	DT
14725	948	82	refraction	refraction	NN
14725	948	83	of	of	IN
14725	948	84	the	the	DT
14725	948	85	ray	ray	NN
14725	948	86	DE	DE	NNP
14725	948	87	,	,	,
14725	948	88	which	which	WDT
14725	948	89	I	-PRON-	PRP
14725	948	90	now	now	RB
14725	948	91	suppose	suppose	VBP
14725	948	92	to	to	TO
14725	948	93	touch	touch	VB
14725	948	94	the	the	DT
14725	948	95	sphere	sphere	NN
14725	948	96	.	.	.
14725	949	1	The	the	DT
14725	949	2	folding	folding	NN
14725	949	3	of	of	IN
14725	949	4	the	the	DT
14725	949	5	waves	wave	NNS
14725	949	6	of	of	IN
14725	949	7	light	light	NN
14725	949	8	begins	begin	VBZ
14725	949	9	from	from	IN
14725	949	10	the	the	DT
14725	949	11	point	point	NN
14725	949	12	N	n	NN
14725	949	13	up	up	IN
14725	949	14	to	to	IN
14725	949	15	the	the	DT
14725	949	16	end	end	NN
14725	949	17	of	of	IN
14725	949	18	the	the	DT
14725	949	19	curve	curve	NN
14725	949	20	C	c	NN
14725	949	21	,	,	,
14725	949	22	which	which	WDT
14725	949	23	point	point	NN
14725	949	24	is	be	VBZ
14725	949	25	formed	form	VBN
14725	949	26	by	by	IN
14725	949	27	taking	take	VBG
14725	949	28	AC	AC	NNP
14725	949	29	to	to	IN
14725	949	30	CX	CX	NNP
14725	949	31	in	in	IN
14725	949	32	the	the	DT
14725	949	33	proportion	proportion	NN
14725	949	34	of	of	IN
14725	949	35	the	the	DT
14725	949	36	refraction	refraction	NN
14725	949	37	,	,	,
14725	949	38	as	as	IN
14725	949	39	here	here	RB
14725	949	40	3	3	CD
14725	949	41	to	to	IN
14725	949	42	2	2	CD
14725	949	43	.	.	.
14725	950	1	As	as	IN
14725	950	2	many	many	JJ
14725	950	3	other	other	JJ
14725	950	4	points	point	NNS
14725	950	5	as	as	IN
14725	950	6	may	may	MD
14725	950	7	be	be	VB
14725	950	8	desired	desire	VBN
14725	950	9	in	in	IN
14725	950	10	the	the	DT
14725	950	11	curve	curve	NN
14725	950	12	NC	NC	NNP
14725	950	13	are	be	VBP
14725	950	14	found	find	VBN
14725	950	15	by	by	IN
14725	950	16	a	a	DT
14725	950	17	Theorem	theorem	NN
14725	950	18	which	which	WDT
14725	950	19	Mr.	Mr.	NNP
14725	950	20	Barrow	Barrow	NNP
14725	950	21	has	have	VBZ
14725	950	22	demonstrated	demonstrate	VBN
14725	950	23	in	in	IN
14725	950	24	section	section	NN
14725	950	25	12	12	CD
14725	950	26	of	of	IN
14725	950	27	his	-PRON-	PRP$
14725	950	28	_	_	NNP
14725	950	29	Lectiones	Lectiones	NNP
14725	950	30	Opticae	Opticae	NNP
14725	950	31	_	_	NNP
14725	950	32	,	,	,
14725	950	33	though	though	IN
14725	950	34	for	for	IN
14725	950	35	another	another	DT
14725	950	36	purpose	purpose	NN
14725	950	37	.	.	.
14725	951	1	And	and	CC
14725	951	2	it	-PRON-	PRP
14725	951	3	is	be	VBZ
14725	951	4	to	to	TO
14725	951	5	be	be	VB
14725	951	6	noted	note	VBN
14725	951	7	that	that	IN
14725	951	8	a	a	DT
14725	951	9	straight	straight	JJ
14725	951	10	line	line	NN
14725	951	11	equal	equal	JJ
14725	951	12	in	in	IN
14725	951	13	length	length	NN
14725	951	14	to	to	IN
14725	951	15	this	this	DT
14725	951	16	curve	curve	NN
14725	951	17	can	can	MD
14725	951	18	be	be	VB
14725	951	19	given	give	VBN
14725	951	20	.	.	.
14725	952	1	For	for	IN
14725	952	2	since	since	IN
14725	952	3	it	-PRON-	PRP
14725	952	4	together	together	RB
14725	952	5	with	with	IN
14725	952	6	the	the	DT
14725	952	7	line	line	NN
14725	952	8	NE	NE	NNP
14725	952	9	is	be	VBZ
14725	952	10	equal	equal	JJ
14725	952	11	to	to	IN
14725	952	12	the	the	DT
14725	952	13	line	line	NN
14725	952	14	CK	CK	NNP
14725	952	15	,	,	,
14725	952	16	which	which	WDT
14725	952	17	is	be	VBZ
14725	952	18	known	know	VBN
14725	952	19	,	,	,
14725	952	20	since	since	IN
14725	952	21	DE	DE	NNP
14725	952	22	is	be	VBZ
14725	952	23	to	to	IN
14725	952	24	AK	AK	NNP
14725	952	25	in	in	IN
14725	952	26	the	the	DT
14725	952	27	proportion	proportion	NN
14725	952	28	of	of	IN
14725	952	29	the	the	DT
14725	952	30	refraction	refraction	NN
14725	952	31	,	,	,
14725	952	32	it	-PRON-	PRP
14725	952	33	appears	appear	VBZ
14725	952	34	that	that	IN
14725	952	35	by	by	IN
14725	952	36	deducting	deduct	VBG
14725	952	37	EN	EN	NNP
14725	952	38	from	from	IN
14725	952	39	CK	CK	NNP
14725	952	40	the	the	DT
14725	952	41	remainder	remainder	NN
14725	952	42	will	will	MD
14725	952	43	be	be	VB
14725	952	44	equal	equal	JJ
14725	952	45	to	to	IN
14725	952	46	the	the	DT
14725	952	47	curve	curve	NN
14725	952	48	NC	NC	NNP
14725	952	49	.	.	.
14725	953	1	Similarly	similarly	RB
14725	953	2	the	the	DT
14725	953	3	waves	wave	NNS
14725	953	4	that	that	WDT
14725	953	5	are	be	VBP
14725	953	6	folded	fold	VBN
14725	953	7	back	back	RB
14725	953	8	in	in	IN
14725	953	9	reflexion	reflexion	NN
14725	953	10	by	by	IN
14725	953	11	a	a	DT
14725	953	12	concave	concave	NNP
14725	953	13	spherical	spherical	JJ
14725	953	14	mirror	mirror	NN
14725	953	15	can	can	MD
14725	953	16	be	be	VB
14725	953	17	found	find	VBN
14725	953	18	.	.	.
14725	954	1	Let	let	VB
14725	954	2	ABC	ABC	NNP
14725	954	3	be	be	VB
14725	954	4	the	the	DT
14725	954	5	section	section	NN
14725	954	6	,	,	,
14725	954	7	through	through	IN
14725	954	8	the	the	DT
14725	954	9	axis	axis	NN
14725	954	10	,	,	,
14725	954	11	of	of	IN
14725	954	12	a	a	DT
14725	954	13	hollow	hollow	JJ
14725	954	14	hemisphere	hemisphere	NN
14725	954	15	,	,	,
14725	954	16	the	the	DT
14725	954	17	centre	centre	NN
14725	954	18	of	of	IN
14725	954	19	which	which	WDT
14725	954	20	is	be	VBZ
14725	954	21	D	d	NN
14725	954	22	,	,	,
14725	954	23	its	-PRON-	PRP$
14725	954	24	axis	axi	NNS
14725	954	25	being	be	VBG
14725	954	26	DB	db	NN
14725	954	27	,	,	,
14725	954	28	parallel	parallel	JJ
14725	954	29	to	to	IN
14725	954	30	which	which	WDT
14725	954	31	I	-PRON-	PRP
14725	954	32	suppose	suppose	VBP
14725	954	33	the	the	DT
14725	954	34	rays	ray	NNS
14725	954	35	of	of	IN
14725	954	36	light	light	NN
14725	954	37	to	to	TO
14725	954	38	come	come	VB
14725	954	39	.	.	.
14725	955	1	All	all	PDT
14725	955	2	the	the	DT
14725	955	3	reflexions	reflexion	NNS
14725	955	4	of	of	IN
14725	955	5	those	those	DT
14725	955	6	rays	ray	NNS
14725	955	7	which	which	WDT
14725	955	8	fall	fall	VBP
14725	955	9	upon	upon	IN
14725	955	10	the	the	DT
14725	955	11	quarter	quarter	NN
14725	955	12	-	-	HYPH
14725	955	13	circle	circle	NN
14725	955	14	AB	AB	NNP
14725	955	15	will	will	MD
14725	955	16	touch	touch	VB
14725	955	17	a	a	DT
14725	955	18	curved	curved	JJ
14725	955	19	line	line	NN
14725	955	20	AFE	AFE	NNP
14725	955	21	,	,	,
14725	955	22	of	of	IN
14725	955	23	which	which	WDT
14725	955	24	line	line	NN
14725	955	25	the	the	DT
14725	955	26	end	end	NN
14725	955	27	E	e	NN
14725	955	28	is	be	VBZ
14725	955	29	at	at	IN
14725	955	30	the	the	DT
14725	955	31	focus	focus	NN
14725	955	32	of	of	IN
14725	955	33	the	the	DT
14725	955	34	hemisphere	hemisphere	NN
14725	955	35	,	,	,
14725	955	36	that	that	DT
14725	955	37	is	be	VBZ
14725	955	38	to	to	TO
14725	955	39	say	say	VB
14725	955	40	,	,	,
14725	955	41	at	at	IN
14725	955	42	the	the	DT
14725	955	43	point	point	NN
14725	955	44	which	which	WDT
14725	955	45	divides	divide	VBZ
14725	955	46	the	the	DT
14725	955	47	semi	semi	JJ
14725	955	48	-	-	JJ
14725	955	49	diameter	diameter	NN
14725	955	50	BD	BD	NNP
14725	955	51	into	into	IN
14725	955	52	two	two	CD
14725	955	53	equal	equal	JJ
14725	955	54	parts	part	NNS
14725	955	55	.	.	.
14725	956	1	The	the	DT
14725	956	2	points	point	NNS
14725	956	3	through	through	IN
14725	956	4	which	which	WDT
14725	956	5	this	this	DT
14725	956	6	curve	curve	NN
14725	956	7	ought	ought	MD
14725	956	8	to	to	TO
14725	956	9	pass	pass	VB
14725	956	10	are	be	VBP
14725	956	11	found	find	VBN
14725	956	12	by	by	IN
14725	956	13	taking	take	VBG
14725	956	14	,	,	,
14725	956	15	beyond	beyond	IN
14725	956	16	A	a	NN
14725	956	17	,	,	,
14725	956	18	some	some	DT
14725	956	19	arc	arc	NNP
14725	956	20	AO	AO	NNP
14725	956	21	,	,	,
14725	956	22	and	and	CC
14725	956	23	making	make	VBG
14725	956	24	the	the	DT
14725	956	25	arc	arc	NN
14725	956	26	OP	OP	NNP
14725	956	27	double	double	PDT
14725	956	28	the	the	DT
14725	956	29	length	length	NN
14725	956	30	of	of	IN
14725	956	31	it	-PRON-	PRP
14725	956	32	;	;	:
14725	956	33	then	then	RB
14725	956	34	dividing	divide	VBG
14725	956	35	the	the	DT
14725	956	36	chord	chord	NN
14725	956	37	OP	OP	NNP
14725	956	38	at	at	IN
14725	956	39	F	F	NNP
14725	956	40	in	in	IN
14725	956	41	such	such	JJ
14725	956	42	wise	wise	JJ
14725	956	43	that	that	IN
14725	956	44	the	the	DT
14725	956	45	part	part	NN
14725	956	46	FP	FP	NNP
14725	956	47	is	be	VBZ
14725	956	48	three	three	CD
14725	956	49	times	time	NNS
14725	956	50	the	the	DT
14725	956	51	part	part	NN
14725	956	52	FO	FO	NNP
14725	956	53	;	;	:
14725	956	54	for	for	IN
14725	956	55	then	then	RB
14725	956	56	F	F	NNP
14725	956	57	is	be	VBZ
14725	956	58	one	one	CD
14725	956	59	of	of	IN
14725	956	60	the	the	DT
14725	956	61	required	require	VBN
14725	956	62	points	point	NNS
14725	956	63	.	.	.
14725	957	1	[	[	-LRB-
14725	957	2	Illustration	illustration	NN
14725	957	3	]	]	-RRB-
14725	957	4	And	and	CC
14725	957	5	as	as	IN
14725	957	6	the	the	DT
14725	957	7	parallel	parallel	NN
14725	957	8	rays	ray	NNS
14725	957	9	are	be	VBP
14725	957	10	merely	merely	RB
14725	957	11	perpendiculars	perpendicular	NNS
14725	957	12	to	to	IN
14725	957	13	the	the	DT
14725	957	14	waves	wave	NNS
14725	957	15	which	which	WDT
14725	957	16	fall	fall	VBP
14725	957	17	on	on	IN
14725	957	18	the	the	DT
14725	957	19	concave	concave	NNP
14725	957	20	surface	surface	NN
14725	957	21	,	,	,
14725	957	22	which	which	WDT
14725	957	23	waves	wave	NNS
14725	957	24	are	be	VBP
14725	957	25	parallel	parallel	JJ
14725	957	26	to	to	IN
14725	957	27	AD	ad	NN
14725	957	28	,	,	,
14725	957	29	it	-PRON-	PRP
14725	957	30	will	will	MD
14725	957	31	be	be	VB
14725	957	32	found	find	VBN
14725	957	33	that	that	IN
14725	957	34	as	as	IN
14725	957	35	they	-PRON-	PRP
14725	957	36	come	come	VBP
14725	957	37	successively	successively	RB
14725	957	38	to	to	TO
14725	957	39	encounter	encounter	VB
14725	957	40	the	the	DT
14725	957	41	surface	surface	NN
14725	957	42	AB	ab	NN
14725	957	43	,	,	,
14725	957	44	they	-PRON-	PRP
14725	957	45	form	form	VBP
14725	957	46	on	on	IN
14725	957	47	reflexion	reflexion	NN
14725	957	48	folded	fold	VBD
14725	957	49	waves	wave	NNS
14725	957	50	composed	compose	VBN
14725	957	51	of	of	IN
14725	957	52	two	two	CD
14725	957	53	curves	curve	NNS
14725	957	54	which	which	WDT
14725	957	55	originate	originate	VBP
14725	957	56	from	from	IN
14725	957	57	two	two	CD
14725	957	58	opposite	opposite	JJ
14725	957	59	evolutions	evolution	NNS
14725	957	60	of	of	IN
14725	957	61	the	the	DT
14725	957	62	parts	part	NNS
14725	957	63	of	of	IN
14725	957	64	the	the	DT
14725	957	65	curve	curve	NN
14725	957	66	AFE	AFE	NNP
14725	957	67	.	.	.
14725	958	1	So	so	RB
14725	958	2	,	,	,
14725	958	3	taking	take	VBG
14725	958	4	AD	ad	NN
14725	958	5	as	as	IN
14725	958	6	an	an	DT
14725	958	7	incident	incident	NN
14725	958	8	wave	wave	NN
14725	958	9	,	,	,
14725	958	10	when	when	WRB
14725	958	11	the	the	DT
14725	958	12	part	part	NN
14725	958	13	AG	AG	NNP
14725	958	14	shall	shall	MD
14725	958	15	have	have	VB
14725	958	16	met	meet	VBN
14725	958	17	the	the	DT
14725	958	18	surface	surface	NN
14725	958	19	AI	AI	NNP
14725	958	20	,	,	,
14725	958	21	that	that	DT
14725	958	22	is	be	VBZ
14725	958	23	to	to	TO
14725	958	24	say	say	VB
14725	958	25	when	when	WRB
14725	958	26	the	the	DT
14725	958	27	piece	piece	NN
14725	958	28	G	g	NN
14725	958	29	shall	shall	MD
14725	958	30	have	have	VB
14725	958	31	reached	reach	VBN
14725	958	32	I	-PRON-	PRP
14725	958	33	,	,	,
14725	958	34	it	-PRON-	PRP
14725	958	35	will	will	MD
14725	958	36	be	be	VB
14725	958	37	the	the	DT
14725	958	38	curves	curve	NNS
14725	958	39	HF	HF	NNP
14725	958	40	,	,	,
14725	958	41	FI	FI	NNP
14725	958	42	,	,	,
14725	958	43	generated	generate	VBD
14725	958	44	as	as	IN
14725	958	45	evolutes	evolute	NNS
14725	958	46	of	of	IN
14725	958	47	the	the	DT
14725	958	48	curves	curve	NNS
14725	958	49	FA	FA	NNP
14725	958	50	,	,	,
14725	958	51	FE	FE	NNP
14725	958	52	,	,	,
14725	958	53	both	both	DT
14725	958	54	beginning	beginning	NN
14725	958	55	at	at	IN
14725	958	56	F	F	NNP
14725	958	57	,	,	,
14725	958	58	which	which	WDT
14725	958	59	together	together	RB
14725	958	60	constitute	constitute	VBP
14725	958	61	the	the	DT
14725	958	62	propagation	propagation	NN
14725	958	63	of	of	IN
14725	958	64	the	the	DT
14725	958	65	part	part	NN
14725	958	66	AG	AG	NNP
14725	958	67	.	.	.
14725	959	1	And	and	CC
14725	959	2	a	a	DT
14725	959	3	little	little	JJ
14725	959	4	afterwards	afterwards	RB
14725	959	5	,	,	,
14725	959	6	when	when	WRB
14725	959	7	the	the	DT
14725	959	8	part	part	NN
14725	959	9	AK	AK	NNP
14725	959	10	has	have	VBZ
14725	959	11	met	meet	VBN
14725	959	12	the	the	DT
14725	959	13	surface	surface	NN
14725	959	14	AM	am	NN
14725	959	15	,	,	,
14725	959	16	the	the	DT
14725	959	17	piece	piece	NN
14725	959	18	K	k	NN
14725	959	19	having	have	VBG
14725	959	20	come	come	VBN
14725	959	21	to	to	IN
14725	959	22	M	M	NNP
14725	959	23	,	,	,
14725	959	24	then	then	RB
14725	959	25	the	the	DT
14725	959	26	curves	curve	NNS
14725	959	27	LN	LN	NNP
14725	959	28	,	,	,
14725	959	29	NM	NM	NNP
14725	959	30	,	,	,
14725	959	31	will	will	MD
14725	959	32	together	together	RB
14725	959	33	constitute	constitute	VB
14725	959	34	the	the	DT
14725	959	35	propagation	propagation	NN
14725	959	36	of	of	IN
14725	959	37	that	that	DT
14725	959	38	part	part	NN
14725	959	39	.	.	.
14725	960	1	And	and	CC
14725	960	2	thus	thus	RB
14725	960	3	this	this	DT
14725	960	4	folded	fold	VBN
14725	960	5	wave	wave	NN
14725	960	6	will	will	MD
14725	960	7	continue	continue	VB
14725	960	8	to	to	TO
14725	960	9	advance	advance	VB
14725	960	10	until	until	IN
14725	960	11	the	the	DT
14725	960	12	point	point	NN
14725	960	13	N	N	NNP
14725	960	14	has	have	VBZ
14725	960	15	reached	reach	VBN
14725	960	16	the	the	DT
14725	960	17	focus	focus	NN
14725	960	18	E.	E.	NNP
14725	960	19	The	the	DT
14725	960	20	curve	curve	NN
14725	960	21	AFE	AFE	NNP
14725	960	22	can	can	MD
14725	960	23	be	be	VB
14725	960	24	seen	see	VBN
14725	960	25	in	in	IN
14725	960	26	smoke	smoke	NN
14725	960	27	,	,	,
14725	960	28	or	or	CC
14725	960	29	in	in	IN
14725	960	30	flying	fly	VBG
14725	960	31	dust	dust	NN
14725	960	32	,	,	,
14725	960	33	when	when	WRB
14725	960	34	a	a	DT
14725	960	35	concave	concave	NNP
14725	960	36	mirror	mirror	NN
14725	960	37	is	be	VBZ
14725	960	38	held	hold	VBN
14725	960	39	opposite	opposite	IN
14725	960	40	the	the	DT
14725	960	41	sun	sun	NN
14725	960	42	.	.	.
14725	961	1	And	and	CC
14725	961	2	it	-PRON-	PRP
14725	961	3	should	should	MD
14725	961	4	be	be	VB
14725	961	5	known	know	VBN
14725	961	6	that	that	IN
14725	961	7	it	-PRON-	PRP
14725	961	8	is	be	VBZ
14725	961	9	none	none	NN
14725	961	10	other	other	JJ
14725	961	11	than	than	IN
14725	961	12	that	that	DT
14725	961	13	curve	curve	NN
14725	961	14	which	which	WDT
14725	961	15	is	be	VBZ
14725	961	16	described	describe	VBN
14725	961	17	by	by	IN
14725	961	18	the	the	DT
14725	961	19	point	point	NN
14725	961	20	E	e	NN
14725	961	21	on	on	IN
14725	961	22	the	the	DT
14725	961	23	circumference	circumference	NN
14725	961	24	of	of	IN
14725	961	25	the	the	DT
14725	961	26	circle	circle	NN
14725	961	27	EB	EB	NNP
14725	961	28	,	,	,
14725	961	29	when	when	WRB
14725	961	30	that	that	DT
14725	961	31	circle	circle	NN
14725	961	32	is	be	VBZ
14725	961	33	made	make	VBN
14725	961	34	to	to	TO
14725	961	35	roll	roll	VB
14725	961	36	within	within	IN
14725	961	37	another	another	DT
14725	961	38	whose	whose	WP$
14725	961	39	semi	semi	JJ
14725	961	40	-	-	JJ
14725	961	41	diameter	diameter	NN
14725	961	42	is	be	VBZ
14725	961	43	ED	ED	NNP
14725	961	44	and	and	CC
14725	961	45	whose	whose	WP$
14725	961	46	centre	centre	NN
14725	961	47	is	be	VBZ
14725	961	48	D.	D.	NNP
14725	961	49	So	so	IN
14725	961	50	that	that	IN
14725	961	51	it	-PRON-	PRP
14725	961	52	is	be	VBZ
14725	961	53	a	a	DT
14725	961	54	kind	kind	NN
14725	961	55	of	of	IN
14725	961	56	Cycloid	Cycloid	NNP
14725	961	57	,	,	,
14725	961	58	of	of	IN
14725	961	59	which	which	WDT
14725	961	60	,	,	,
14725	961	61	however	however	RB
14725	961	62	,	,	,
14725	961	63	the	the	DT
14725	961	64	points	point	NNS
14725	961	65	can	can	MD
14725	961	66	be	be	VB
14725	961	67	found	find	VBN
14725	961	68	geometrically	geometrically	RB
14725	961	69	.	.	.
14725	962	1	Its	-PRON-	PRP$
14725	962	2	length	length	NN
14725	962	3	is	be	VBZ
14725	962	4	exactly	exactly	RB
14725	962	5	equal	equal	JJ
14725	962	6	to	to	IN
14725	962	7	3/4	3/4	CD
14725	962	8	of	of	IN
14725	962	9	the	the	DT
14725	962	10	diameter	diameter	NN
14725	962	11	of	of	IN
14725	962	12	the	the	DT
14725	962	13	sphere	sphere	NN
14725	962	14	,	,	,
14725	962	15	as	as	IN
14725	962	16	can	can	MD
14725	962	17	be	be	VB
14725	962	18	found	find	VBN
14725	962	19	and	and	CC
14725	962	20	demonstrated	demonstrate	VBN
14725	962	21	by	by	IN
14725	962	22	means	mean	NNS
14725	962	23	of	of	IN
14725	962	24	these	these	DT
14725	962	25	waves	wave	NNS
14725	962	26	,	,	,
14725	962	27	nearly	nearly	RB
14725	962	28	in	in	IN
14725	962	29	the	the	DT
14725	962	30	same	same	JJ
14725	962	31	way	way	NN
14725	962	32	as	as	IN
14725	962	33	the	the	DT
14725	962	34	mensuration	mensuration	NN
14725	962	35	of	of	IN
14725	962	36	the	the	DT
14725	962	37	preceding	precede	VBG
14725	962	38	curve	curve	NN
14725	962	39	;	;	:
14725	962	40	though	though	IN
14725	962	41	it	-PRON-	PRP
14725	962	42	may	may	MD
14725	962	43	also	also	RB
14725	962	44	be	be	VB
14725	962	45	demonstrated	demonstrate	VBN
14725	962	46	in	in	IN
14725	962	47	other	other	JJ
14725	962	48	ways	way	NNS
14725	962	49	,	,	,
14725	962	50	which	which	WDT
14725	962	51	I	-PRON-	PRP
14725	962	52	omit	omit	VBP
14725	962	53	as	as	IN
14725	962	54	outside	outside	IN
14725	962	55	the	the	DT
14725	962	56	subject	subject	NN
14725	962	57	.	.	.
14725	963	1	The	the	DT
14725	963	2	area	area	NN
14725	963	3	AOBEFA	AOBEFA	NNP
14725	963	4	,	,	,
14725	963	5	comprised	comprise	VBN
14725	963	6	between	between	IN
14725	963	7	the	the	DT
14725	963	8	arc	arc	NN
14725	963	9	of	of	IN
14725	963	10	the	the	DT
14725	963	11	quarter	quarter	NN
14725	963	12	-	-	HYPH
14725	963	13	circle	circle	NN
14725	963	14	,	,	,
14725	963	15	the	the	DT
14725	963	16	straight	straight	JJ
14725	963	17	line	line	NN
14725	963	18	BE	be	NN
14725	963	19	,	,	,
14725	963	20	and	and	CC
14725	963	21	the	the	DT
14725	963	22	curve	curve	NN
14725	963	23	EFA	EFA	NNP
14725	963	24	,	,	,
14725	963	25	is	be	VBZ
14725	963	26	equal	equal	JJ
14725	963	27	to	to	IN
14725	963	28	the	the	DT
14725	963	29	fourth	fourth	JJ
14725	963	30	part	part	NN
14725	963	31	of	of	IN
14725	963	32	the	the	DT
14725	963	33	quadrant	quadrant	JJ
14725	963	34	DAB	DAB	NNP
14725	963	35	.	.	.
14725	964	1	INDEX	INDEX	NNP
14725	964	2	Archimedes	Archimedes	NNP
14725	964	3	,	,	,
14725	964	4	104	104	CD
14725	964	5	.	.	.
14725	965	1	Atmospheric	atmospheric	JJ
14725	965	2	refraction	refraction	NN
14725	965	3	,	,	,
14725	965	4	45	45	CD
14725	965	5	.	.	.
14725	966	1	Barrow	Barrow	NNP
14725	966	2	,	,	,
14725	966	3	Isaac	Isaac	NNP
14725	966	4	,	,	,
14725	966	5	126	126	CD
14725	966	6	.	.	.
14725	967	1	Bartholinus	Bartholinus	NNP
14725	967	2	,	,	,
14725	967	3	Erasmus	Erasmus	NNP
14725	967	4	,	,	,
14725	967	5	53	53	CD
14725	967	6	,	,	,
14725	967	7	54	54	CD
14725	967	8	,	,	,
14725	967	9	57	57	CD
14725	967	10	,	,	,
14725	967	11	60	60	CD
14725	967	12	,	,	,
14725	967	13	97	97	CD
14725	967	14	,	,	,
14725	967	15	99	99	CD
14725	967	16	.	.	.
14725	968	1	Boyle	Boyle	NNP
14725	968	2	,	,	,
14725	968	3	Hon	Hon	NNP
14725	968	4	.	.	.
14725	969	1	Robert	Robert	NNP
14725	969	2	,	,	,
14725	969	3	11	11	CD
14725	969	4	.	.	.
14725	970	1	Cassini	Cassini	NNP
14725	970	2	,	,	,
14725	970	3	Jacques	Jacques	NNP
14725	970	4	,	,	,
14725	970	5	iii	iii	NNP
14725	970	6	.	.	.
14725	971	1	Caustic	caustic	JJ
14725	971	2	Curves	curve	NNS
14725	971	3	,	,	,
14725	971	4	123	123	CD
14725	971	5	.	.	.
14725	972	1	Crystals	crystal	NNS
14725	972	2	,	,	,
14725	972	3	see	see	VB
14725	972	4	Iceland	Iceland	NNP
14725	972	5	Crystal	Crystal	NNP
14725	972	6	,	,	,
14725	972	7	Rock	Rock	NNP
14725	972	8	Crystal	Crystal	NNP
14725	972	9	.	.	.
14725	973	1	Crystals	crystal	NNS
14725	973	2	,	,	,
14725	973	3	configuration	configuration	NN
14725	973	4	of	of	IN
14725	973	5	,	,	,
14725	973	6	95	95	CD
14725	973	7	.	.	.
14725	974	1	Descartes	Descartes	NNPS
14725	974	2	,	,	,
14725	974	3	Rénê	Rénê	NNP
14725	974	4	,	,	,
14725	974	5	3	3	CD
14725	974	6	,	,	,
14725	974	7	5	5	CD
14725	974	8	,	,	,
14725	974	9	7	7	CD
14725	974	10	,	,	,
14725	974	11	14	14	CD
14725	974	12	,	,	,
14725	974	13	22	22	CD
14725	974	14	,	,	,
14725	974	15	42	42	CD
14725	974	16	,	,	,
14725	974	17	43	43	CD
14725	974	18	,	,	,
14725	974	19	109	109	CD
14725	974	20	,	,	,
14725	974	21	113	113	CD
14725	974	22	.	.	.
14725	975	1	Double	double	JJ
14725	975	2	Refraction	refraction	NN
14725	975	3	,	,	,
14725	975	4	discovery	discovery	NN
14725	975	5	of	of	IN
14725	975	6	,	,	,
14725	975	7	54	54	CD
14725	975	8	,	,	,
14725	975	9	81	81	CD
14725	975	10	,	,	,
14725	975	11	93	93	CD
14725	975	12	.	.	.
14725	976	1	Elasticity	elasticity	NN
14725	976	2	,	,	,
14725	976	3	12	12	CD
14725	976	4	,	,	,
14725	976	5	14	14	CD
14725	976	6	.	.	.
14725	977	1	Ether	ether	NN
14725	977	2	,	,	,
14725	977	3	the	the	DT
14725	977	4	,	,	,
14725	977	5	or	or	CC
14725	977	6	Ethereal	ethereal	JJ
14725	977	7	matter	matter	NN
14725	977	8	,	,	,
14725	977	9	11	11	CD
14725	977	10	,	,	,
14725	977	11	14	14	CD
14725	977	12	,	,	,
14725	977	13	16	16	CD
14725	977	14	,	,	,
14725	977	15	28	28	CD
14725	977	16	.	.	.
14725	978	1	Extraordinary	extraordinary	JJ
14725	978	2	refraction	refraction	NN
14725	978	3	,	,	,
14725	978	4	55	55	CD
14725	978	5	,	,	,
14725	978	6	56	56	CD
14725	978	7	.	.	.
14725	979	1	Fermat	fermat	JJ
14725	979	2	,	,	,
14725	979	3	principle	principle	NN
14725	979	4	of	of	IN
14725	979	5	,	,	,
14725	979	6	42	42	CD
14725	979	7	.	.	.
14725	980	1	Figures	figure	NNS
14725	980	2	of	of	IN
14725	980	3	transparent	transparent	JJ
14725	980	4	bodies	body	NNS
14725	980	5	,	,	,
14725	980	6	105	105	CD
14725	980	7	.	.	.
14725	981	1	Hooke	Hooke	NNP
14725	981	2	,	,	,
14725	981	3	Robert	Robert	NNP
14725	981	4	,	,	,
14725	981	5	20	20	CD
14725	981	6	.	.	.
14725	982	1	Iceland	Iceland	NNP
14725	982	2	Crystal	Crystal	NNP
14725	982	3	,	,	,
14725	982	4	2	2	CD
14725	982	5	,	,	,
14725	982	6	52	52	CD
14725	982	7	sqq	sqq	NN
14725	982	8	.	.	.
14725	983	1	Iceland	Iceland	NNP
14725	983	2	Crystal	Crystal	NNP
14725	983	3	,	,	,
14725	983	4	Cutting	Cutting	NNP
14725	983	5	and	and	CC
14725	983	6	Polishing	Polishing	NNP
14725	983	7	of	of	IN
14725	983	8	,	,	,
14725	983	9	91	91	CD
14725	983	10	,	,	,
14725	983	11	92	92	CD
14725	983	12	,	,	,
14725	983	13	98	98	CD
14725	983	14	.	.	.
14725	984	1	Leibnitz	Leibnitz	NNP
14725	984	2	,	,	,
14725	984	3	G.W.	G.W.	NNP
14725	984	4	,	,	,
14725	984	5	vi	vi	NNP
14725	984	6	.	.	.
14725	985	1	Light	light	NN
14725	985	2	,	,	,
14725	985	3	nature	nature	NN
14725	985	4	of	of	IN
14725	985	5	,	,	,
14725	985	6	3	3	CD
14725	985	7	.	.	.
14725	986	1	Light	light	NN
14725	986	2	,	,	,
14725	986	3	velocity	velocity	NN
14725	986	4	of	of	IN
14725	986	5	,	,	,
14725	986	6	4	4	CD
14725	986	7	,	,	,
14725	986	8	15	15	CD
14725	986	9	.	.	.
14725	987	1	Molecular	molecular	JJ
14725	987	2	texture	texture	NN
14725	987	3	of	of	IN
14725	987	4	bodies	body	NNS
14725	987	5	,	,	,
14725	987	6	27	27	CD
14725	987	7	,	,	,
14725	987	8	95	95	CD
14725	987	9	.	.	.
14725	988	1	Newton	Newton	NNP
14725	988	2	,	,	,
14725	988	3	Sir	Sir	NNP
14725	988	4	Isaac	Isaac	NNP
14725	988	5	,	,	,
14725	988	6	vi	vi	NNP
14725	988	7	,	,	,
14725	988	8	106	106	CD
14725	988	9	.	.	.
14725	989	1	Opacity	opacity	NN
14725	989	2	,	,	,
14725	989	3	34	34	CD
14725	989	4	.	.	.
14725	990	1	Ovals	oval	NNS
14725	990	2	,	,	,
14725	990	3	Cartesian	Cartesian	NNP
14725	990	4	,	,	,
14725	990	5	107	107	CD
14725	990	6	,	,	,
14725	990	7	113	113	CD
14725	990	8	.	.	.
14725	991	1	Pardies	pardie	NNS
14725	991	2	,	,	,
14725	991	3	Rev.	Rev.	NNP
14725	992	1	Father	Father	NNP
14725	992	2	,	,	,
14725	992	3	20	20	CD
14725	992	4	.	.	.
14725	993	1	Rays	ray	NNS
14725	993	2	,	,	,
14725	993	3	definition	definition	NN
14725	993	4	of	of	IN
14725	993	5	,	,	,
14725	993	6	38	38	CD
14725	993	7	,	,	,
14725	993	8	49	49	CD
14725	993	9	.	.	.
14725	994	1	Reflexion	reflexion	NN
14725	994	2	,	,	,
14725	994	3	22	22	CD
14725	994	4	.	.	.
14725	995	1	Refraction	refraction	NN
14725	995	2	,	,	,
14725	995	3	28	28	CD
14725	995	4	,	,	,
14725	995	5	34	34	CD
14725	995	6	.	.	.
14725	996	1	Rock	Rock	NNP
14725	996	2	Crystal	Crystal	NNP
14725	996	3	,	,	,
14725	996	4	54	54	CD
14725	996	5	,	,	,
14725	996	6	57	57	CD
14725	996	7	,	,	,
14725	996	8	62	62	CD
14725	996	9	,	,	,
14725	996	10	95	95	CD
14725	996	11	.	.	.
14725	997	1	Römer	Römer	NNP
14725	997	2	,	,	,
14725	997	3	Olaf	Olaf	NNP
14725	997	4	,	,	,
14725	997	5	v	v	NN
14725	997	6	,	,	,
14725	997	7	7	7	CD
14725	997	8	.	.	.
14725	998	1	Roughness	roughness	NN
14725	998	2	of	of	IN
14725	998	3	surfaces	surface	NNS
14725	998	4	,	,	,
14725	998	5	27	27	CD
14725	998	6	.	.	.
14725	999	1	Sines	Sines	NNP
14725	999	2	,	,	,
14725	999	3	law	law	NN
14725	999	4	of	of	IN
14725	999	5	,	,	,
14725	999	6	1	1	CD
14725	999	7	,	,	,
14725	999	8	35	35	CD
14725	999	9	,	,	,
14725	999	10	38	38	CD
14725	999	11	,	,	,
14725	999	12	43	43	CD
14725	999	13	.	.	.
14725	1000	1	Spheres	sphere	NNS
14725	1000	2	,	,	,
14725	1000	3	elasticity	elasticity	NN
14725	1000	4	of	of	IN
14725	1000	5	,	,	,
14725	1000	6	15	15	CD
14725	1000	7	.	.	.
14725	1001	1	Spheroidal	spheroidal	JJ
14725	1001	2	waves	wave	NNS
14725	1001	3	in	in	IN
14725	1001	4	crystals	crystal	NNS
14725	1001	5	,	,	,
14725	1001	6	63	63	CD
14725	1001	7	.	.	.
14725	1002	1	Spheroids	spheroid	NNS
14725	1002	2	,	,	,
14725	1002	3	lemma	lemma	VBD
14725	1002	4	about	about	IN
14725	1002	5	,	,	,
14725	1002	6	103	103	CD
14725	1002	7	.	.	.
14725	1003	1	Sound	sound	NN
14725	1003	2	,	,	,
14725	1003	3	speed	speed	NN
14725	1003	4	of	of	IN
14725	1003	5	,	,	,
14725	1003	6	7	7	CD
14725	1003	7	,	,	,
14725	1003	8	10	10	CD
14725	1003	9	,	,	,
14725	1003	10	12	12	CD
14725	1003	11	.	.	.
14725	1004	1	Telescopes	telescope	NNS
14725	1004	2	,	,	,
14725	1004	3	lenses	lense	NNS
14725	1004	4	for	for	IN
14725	1004	5	,	,	,
14725	1004	6	62	62	CD
14725	1004	7	,	,	,
14725	1004	8	105	105	CD
14725	1004	9	.	.	.
14725	1005	1	Torricelli	Torricelli	NNP
14725	1005	2	's	's	POS
14725	1005	3	experiment	experiment	NN
14725	1005	4	,	,	,
14725	1005	5	12	12	CD
14725	1005	6	,	,	,
14725	1005	7	30	30	CD
14725	1005	8	.	.	.
14725	1006	1	Transparency	transparency	NN
14725	1006	2	,	,	,
14725	1006	3	explanation	explanation	NN
14725	1006	4	of	of	IN
14725	1006	5	,	,	,
14725	1006	6	28	28	CD
14725	1006	7	,	,	,
14725	1006	8	31	31	CD
14725	1006	9	,	,	,
14725	1006	10	32	32	CD
14725	1006	11	.	.	.
14725	1007	1	Waves	wave	NNS
14725	1007	2	,	,	,
14725	1007	3	no	no	DT
14725	1007	4	regular	regular	JJ
14725	1007	5	succession	succession	NN
14725	1007	6	of	of	IN
14725	1007	7	,	,	,
14725	1007	8	17	17	CD
14725	1007	9	.	.	.
14725	1008	1	Waves	wave	NNS
14725	1008	2	,	,	,
14725	1008	3	principle	principle	NN
14725	1008	4	of	of	IN
14725	1008	5	wave	wave	NN
14725	1008	6	envelopes	envelope	NNS
14725	1008	7	,	,	,
14725	1008	8	19	19	CD
14725	1008	9	,	,	,
14725	1008	10	24	24	CD
14725	1008	11	.	.	.
14725	1009	1	Waves	wave	NNS
14725	1009	2	,	,	,
14725	1009	3	principle	principle	NN
14725	1009	4	of	of	IN
14725	1009	5	elementary	elementary	JJ
14725	1009	6	wave	wave	NN
14725	1009	7	fronts	front	NNS
14725	1009	8	,	,	,
14725	1009	9	19	19	CD
14725	1009	10	.	.	.
14725	1010	1	Waves	wave	NNS
14725	1010	2	,	,	,
14725	1010	3	propagation	propagation	NN
14725	1010	4	of	of	IN
14725	1010	5	light	light	NN
14725	1010	6	as	as	IN
14725	1010	7	,	,	,
14725	1010	8	16	16	CD
14725	1010	9	,	,	,
14725	1010	10	63	63	CD
14725	1010	11	.	.	.