Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 393
>
81
(63)
82
(64)
83
(65)
84
(66)
85
(67)
86
(68)
87
(69)
88
(70)
89
(71)
90
(72)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 393
>
page
|<
<
(68)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div99
"
type
="
section
"
level
="
1
"
n
="
18
">
<
p
>
<
s
xml:id
="
echoid-s4181
"
xml:space
="
preserve
">
<
pb
o
="
68
"
file
="
0086
"
n
="
86
"
rhead
="
"/>
hoc eſt σ π. </
s
>
<
s
xml:id
="
echoid-s4182
"
xml:space
="
preserve
">RN:</
s
>
<
s
xml:id
="
echoid-s4183
"
xml:space
="
preserve
">: PA + 2 NA. </
s
>
<
s
xml:id
="
echoid-s4184
"
xml:space
="
preserve
">NA. </
s
>
<
s
xml:id
="
echoid-s4185
"
xml:space
="
preserve
">eſt autem arc σ π. </
s
>
<
s
xml:id
="
echoid-s4186
"
xml:space
="
preserve
">RN
<
lb
/>
:</
s
>
<
s
xml:id
="
echoid-s4187
"
xml:space
="
preserve
">: ſubtenſa σ π. </
s
>
<
s
xml:id
="
echoid-s4188
"
xml:space
="
preserve
">RN:</
s
>
<
s
xml:id
="
echoid-s4189
"
xml:space
="
preserve
">: π ZZ R:</
s
>
<
s
xml:id
="
echoid-s4190
"
xml:space
="
preserve
">: π Z. </
s
>
<
s
xml:id
="
echoid-s4191
"
xml:space
="
preserve
">ZN. </
s
>
<
s
xml:id
="
echoid-s4192
"
xml:space
="
preserve
">ergo π Z. </
s
>
<
s
xml:id
="
echoid-s4193
"
xml:space
="
preserve
">ZN:</
s
>
<
s
xml:id
="
echoid-s4194
"
xml:space
="
preserve
">:
<
lb
/>
PA + 2 NA. </
s
>
<
s
xml:id
="
echoid-s4195
"
xml:space
="
preserve
">NA. </
s
>
<
s
xml:id
="
echoid-s4196
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4197
"
xml:space
="
preserve
">componendo π N. </
s
>
<
s
xml:id
="
echoid-s4198
"
xml:space
="
preserve
">ZN:</
s
>
<
s
xml:id
="
echoid-s4199
"
xml:space
="
preserve
">: PA + 3 NA. </
s
>
<
s
xml:id
="
echoid-s4200
"
xml:space
="
preserve
">NA
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s4201
"
xml:space
="
preserve
">antecedentes ſubduplando FN. </
s
>
<
s
xml:id
="
echoid-s4202
"
xml:space
="
preserve
">ZN:</
s
>
<
s
xml:id
="
echoid-s4203
"
xml:space
="
preserve
">: {PA + 3 NA/2}. </
s
>
<
s
xml:id
="
echoid-s4204
"
xml:space
="
preserve
">NA. </
s
>
<
s
xml:id
="
echoid-s4205
"
xml:space
="
preserve
">de-
<
lb
/>
nique dividendo FZ. </
s
>
<
s
xml:id
="
echoid-s4206
"
xml:space
="
preserve
">ZN:</
s
>
<
s
xml:id
="
echoid-s4207
"
xml:space
="
preserve
">: {PA + NA / 2}. </
s
>
<
s
xml:id
="
echoid-s4208
"
xml:space
="
preserve
">NA. </
s
>
<
s
xml:id
="
echoid-s4209
"
xml:space
="
preserve
">eſt autem EA =
<
lb
/>
{PA + NA/2}. </
s
>
<
s
xml:id
="
echoid-s4210
"
xml:space
="
preserve
">ergò tandem eſt FZZN:</
s
>
<
s
xml:id
="
echoid-s4211
"
xml:space
="
preserve
">: EA. </
s
>
<
s
xml:id
="
echoid-s4212
"
xml:space
="
preserve
">NA: </
s
>
<
s
xml:id
="
echoid-s4213
"
xml:space
="
preserve
">Q. </
s
>
<
s
xml:id
="
echoid-s4214
"
xml:space
="
preserve
">E. </
s
>
<
s
xml:id
="
echoid-s4215
"
xml:space
="
preserve
">D.</
s
>
<
s
xml:id
="
echoid-s4216
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4217
"
xml:space
="
preserve
">XIII. </
s
>
<
s
xml:id
="
echoid-s4218
"
xml:space
="
preserve
">Hinc colligitur punctum Z eſſe locum ipſiſſimum, circa quem
<
lb
/>
puncti Z imago conſiſtit; </
s
>
<
s
xml:id
="
echoid-s4219
"
xml:space
="
preserve
">oculi reſpectu in reflexo GN π conſ@ituti,
<
lb
/>
tanquam ad O. </
s
>
<
s
xml:id
="
echoid-s4220
"
xml:space
="
preserve
">etenim ſuperiùs nec ſemel argumentis, ut mihi vide-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0086-01
"
xlink:href
="
note-0086-01a
"
xml:space
="
preserve
">Fig. 95, 96.</
note
>
tur, admodum luculentis adfirmatum eſt (ut jam ad inſtar regulæ
<
lb
/>
legíſve ratum, fixúmque cenſeri queat iſthic imaginem verſari, ubi
<
lb
/>
propiorum incidenti principali (hoc eſt ei cujus reflexus oculi centrum
<
lb
/>
tranſiens axis Optici vicem ſubit) radiorum reflexi principalem illum
<
lb
/>
reflexum interſecant; </
s
>
<
s
xml:id
="
echoid-s4221
"
xml:space
="
preserve
">itaque circa Z in hoc caſu verſatur.</
s
>
<
s
xml:id
="
echoid-s4222
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4223
"
xml:space
="
preserve
">XIV. </
s
>
<
s
xml:id
="
echoid-s4224
"
xml:space
="
preserve
">Et hoc argumentatione collegi, non illâ quidem incertâ
<
lb
/>
vel ambiguâ, ſed nec ad _Geometrici_ rigoris amuſſim præ illa quam in
<
lb
/>
præcedentibus uſurpavi (quanquam & </
s
>
<
s
xml:id
="
echoid-s4225
"
xml:space
="
preserve
">hæc è cognatis fontibus pro-
<
lb
/>
Huxerit) adeò exactâ; </
s
>
<
s
xml:id
="
echoid-s4226
"
xml:space
="
preserve
">concisâ tamen, & </
s
>
<
s
xml:id
="
echoid-s4227
"
xml:space
="
preserve
">facili, talíque quæ conclu-
<
lb
/>
ſionis adſertæ cauſam apprimè detegit. </
s
>
<
s
xml:id
="
echoid-s4228
"
xml:space
="
preserve
">Enim verò ſi pleraque cuncta,
<
lb
/>
quæ ſe oggerunt huc attinentia, minutatim ac moroſè perſequi vellem,
<
lb
/>
immane quantum tædii (commodo veſtro fortaſſè non tanto) mihi-
<
lb
/>
met accerſerem, & </
s
>
<
s
xml:id
="
echoid-s4229
"
xml:space
="
preserve
">temporis plurimum veſtri pariter ac mei exhauri-
<
lb
/>
rem. </
s
>
<
s
xml:id
="
echoid-s4230
"
xml:space
="
preserve
">ſuffecerit itaque jam, & </
s
>
<
s
xml:id
="
echoid-s4231
"
xml:space
="
preserve
">poſthac in reliquis Hypotheſibus ſuffi-
<
lb
/>
ciat, viâ quàm breviſſimâ (modò tamen certiſſimâ) metam attingere.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4232
"
xml:space
="
preserve
">De convexis hactenus; </
s
>
<
s
xml:id
="
echoid-s4233
"
xml:space
="
preserve
">ad concava proximè nos conferemus, aliquan-
<
lb
/>
to breviùs exponenda.</
s
>
<
s
xml:id
="
echoid-s4234
"
xml:space
="
preserve
">‖</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>