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
>
221
(28)
222
(29)
223
(30)
224
(31)
225
(32)
226
(33)
227
(34)
228
(35)
229
(36)
230
(37)
<
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
|<
<
(122)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div206
"
type
="
section
"
level
="
1
"
n
="
25
">
<
p
>
<
s
xml:id
="
echoid-s7989
"
xml:space
="
preserve
">
<
pb
o
="
122
"
file
="
0140
"
n
="
140
"
rhead
="
"/>
CZ. </
s
>
<
s
xml:id
="
echoid-s7990
"
xml:space
="
preserve
">FC :</
s
>
<
s
xml:id
="
echoid-s7991
"
xml:space
="
preserve
">: CX. </
s
>
<
s
xml:id
="
echoid-s7992
"
xml:space
="
preserve
">CA; </
s
>
<
s
xml:id
="
echoid-s7993
"
xml:space
="
preserve
">adeóque CZ x CA = FC x CX). </
s
>
<
s
xml:id
="
echoid-s7994
"
xml:space
="
preserve
">qua-
<
lb
/>
propter (elidendo FC) eſt CM x CR + CZ x CR = CZ x
<
lb
/>
CA - CM x CX; </
s
>
<
s
xml:id
="
echoid-s7995
"
xml:space
="
preserve
">tranſponendóque CM x CR + CM x
<
lb
/>
CX = CZ x CA - CZ x CR. </
s
>
<
s
xml:id
="
echoid-s7996
"
xml:space
="
preserve
">hoc eſt CM x RX = CZ x
<
lb
/>
AR, quare (ad analogiſmum redigendo) eſt AR. </
s
>
<
s
xml:id
="
echoid-s7997
"
xml:space
="
preserve
">CM :</
s
>
<
s
xml:id
="
echoid-s7998
"
xml:space
="
preserve
">: RX.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7999
"
xml:space
="
preserve
">CZ. </
s
>
<
s
xml:id
="
echoid-s8000
"
xml:space
="
preserve
">hoc eſt CR. </
s
>
<
s
xml:id
="
echoid-s8001
"
xml:space
="
preserve
">CE :</
s
>
<
s
xml:id
="
echoid-s8002
"
xml:space
="
preserve
">: RX. </
s
>
<
s
xml:id
="
echoid-s8003
"
xml:space
="
preserve
">CZ. </
s
>
<
s
xml:id
="
echoid-s8004
"
xml:space
="
preserve
">hoc eſt RX. </
s
>
<
s
xml:id
="
echoid-s8005
"
xml:space
="
preserve
">XH :</
s
>
<
s
xml:id
="
echoid-s8006
"
xml:space
="
preserve
">: RX. </
s
>
<
s
xml:id
="
echoid-s8007
"
xml:space
="
preserve
">
<
lb
/>
CZ; </
s
>
<
s
xml:id
="
echoid-s8008
"
xml:space
="
preserve
">unde XH = CZ : </
s
>
<
s
xml:id
="
echoid-s8009
"
xml:space
="
preserve
">Quod E. </
s
>
<
s
xml:id
="
echoid-s8010
"
xml:space
="
preserve
">D.</
s
>
<
s
xml:id
="
echoid-s8011
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s8012
"
xml:space
="
preserve
">II. </
s
>
<
s
xml:id
="
echoid-s8013
"
xml:space
="
preserve
">Exhinc (& </
s
>
<
s
xml:id
="
echoid-s8014
"
xml:space
="
preserve
">ex iis quæ circa _ſectiones conicas_ nuperrimè ſunt
<
lb
/>
oſtenſa) liquido conſectatur, ſi CR major fuerit quàm CE (vel
<
lb
/>
quod eódem recidit, AR major quam CB) quòd punctorum om-
<
lb
/>
nium F in recta FA G imagines abſolutæ (quales Z) ad _ellipſin_ con-
<
lb
/>
ſiftent, cujus _Focus_ C, cujúſque penitus determinandæ modum ſatìs
<
lb
/>
facilem tunc oſtendimus. </
s
>
<
s
xml:id
="
echoid-s8015
"
xml:space
="
preserve
">item ſi CR = CE, quòd imagines iſtæ ad
<
lb
/>
parabolam erunt; </
s
>
<
s
xml:id
="
echoid-s8016
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8017
"
xml:space
="
preserve
">denique, ſi CR &</
s
>
<
s
xml:id
="
echoid-s8018
"
xml:space
="
preserve
">lt; </
s
>
<
s
xml:id
="
echoid-s8019
"
xml:space
="
preserve
">CE, quòd eædem in hy-
<
lb
/>
perbolis oppoſitis reperientur; </
s
>
<
s
xml:id
="
echoid-s8020
"
xml:space
="
preserve
">quarum etiam ſectionum focus com-
<
lb
/>
munis eſt punctum C, & </
s
>
<
s
xml:id
="
echoid-s8021
"
xml:space
="
preserve
">quarum axes deſignandi modum reliquáque
<
lb
/>
circa ipſas præſertim advertenda declaravimus. </
s
>
<
s
xml:id
="
echoid-s8022
"
xml:space
="
preserve
">(Nempe, ſi rectæ
<
lb
/>
CP cum ipſa CA ſemirectos conſtituant angulos; </
s
>
<
s
xml:id
="
echoid-s8023
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8024
"
xml:space
="
preserve
">hæ rectam RE
<
lb
/>
interſecent ad puncta S, indéque demittantur ad A@ perpendiculares
<
lb
/>
ST, SV, erunt T, V axis termini, rectáque CE ſemi-parameter erit)
<
lb
/>
unde patet totius rectæ FAG ad infinitum protenſæ abſolutam ima-
<
lb
/>
ginem (quin & </
s
>
<
s
xml:id
="
echoid-s8025
"
xml:space
="
preserve
">illam, quæ ad oculum in centro O poſitum refertur)
<
lb
/>
aliquam eſſe dictarum conicarum, pro ſuo peculiari ſitu hanc vel illam
<
lb
/>
reſpectivè.</
s
>
<
s
xml:id
="
echoid-s8026
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s8027
"
xml:space
="
preserve
">III. </
s
>
<
s
xml:id
="
echoid-s8028
"
xml:space
="
preserve
">Adnotari porrò debet in iſto caſu, _ſectionis ellipticæ_ (quinetiam
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0140-01
"
xlink:href
="
note-0140-01a
"
xml:space
="
preserve
">Fig. 198.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s8029
"
xml:space
="
preserve
">_parabolicæ_) TE Z partem anticam TE ad concavas circuli partes
<
lb
/>
LDL ſpectare; </
s
>
<
s
xml:id
="
echoid-s8030
"
xml:space
="
preserve
">ſicuti poſtica EY ad convexas MB N pertinet. </
s
>
<
s
xml:id
="
echoid-s8031
"
xml:space
="
preserve
">in
<
lb
/>
hoc autem altero tota _byperbola_ ZVZ, nec non _hyperbotæ_ ETE pars
<
lb
/>
(infra ECE) YEEY ad partem circuli convexam referri debent
<
lb
/>
(nempe ſi centro C, intervallo CE deſcriptus circulus rectam FG
<
lb
/>
ſecet punctis K, K; </
s
>
<
s
xml:id
="
echoid-s8032
"
xml:space
="
preserve
">hyperbola ZVZ rectam interceptam KK repræ-
<
lb
/>
ſentabit, ipſiúſque FG quod reliquum eſt hinc indè protenſum pars
<
lb
/>
YEEY referet) pars autem ſuperior ETE ad cavam circuli partem
<
lb
/>
LDL ſpectat.</
s
>
<
s
xml:id
="
echoid-s8033
"
xml:space
="
preserve
">‖ Semper autem (cúm hîc, tum ubique) intelligatur
<
lb
/>
ad utraſque propoſiti circuli partes ejuſdem generis refractionem effici,
<
lb
/>
ſeu ejuſdem ſpeciei medio radios incidere.</
s
>
<
s
xml:id
="
echoid-s8034
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s8035
"
xml:space
="
preserve
">IV. </
s
>
<
s
xml:id
="
echoid-s8036
"
xml:space
="
preserve
">Ex his obiter naturæ, quam in oculi figura conſtruenda </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>