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
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 393
>
Scan
Original
341
342
149
343
150
344
151
345
346
347
348
349
1
350
351
352
2
353
354
355
3
356
357
358
4
359
360
361
5
362
363
364
6
365
366
367
7
368
369
370
8
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 393
>
page
|<
<
(149)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div581
"
type
="
section
"
level
="
1
"
n
="
100
">
<
pb
o
="
149
"
file
="
0327
"
n
="
342
"/>
</
div
>
<
div
xml:id
="
echoid-div582
"
type
="
section
"
level
="
1
"
n
="
101
">
<
head
xml:id
="
echoid-head105
"
xml:space
="
preserve
">Addenda Lectionibus Geometricis.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s16484
"
xml:space
="
preserve
">Vacuæ Pagellæ explendæ bæc adjici poſſunt: </
s
>
<
s
xml:id
="
echoid-s16485
"
xml:space
="
preserve
">υΠοραδικὰ vice,
<
lb
/>
animadverto potuiſſe ſecundo Appendiculæ tertiæ Lectio-
<
lb
/>
nis XII Problemati, pag. </
s
>
<
s
xml:id
="
echoid-s16486
"
xml:space
="
preserve
">122. </
s
>
<
s
xml:id
="
echoid-s16487
"
xml:space
="
preserve
">Corollaria quædam adponi
<
lb
/>
non injucunda, qualium adſcribam unum & </
s
>
<
s
xml:id
="
echoid-s16488
"
xml:space
="
preserve
">alterum.</
s
>
<
s
xml:id
="
echoid-s16489
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div583
"
type
="
section
"
level
="
1
"
n
="
102
">
<
head
xml:id
="
echoid-head106
"
xml:space
="
preserve
">_Probl_. I.</
head
>
<
p
>
<
s
xml:id
="
echoid-s16490
"
xml:space
="
preserve
">DE tur linea quæpiam AMB (cujus axis AD, baſis DB)
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0327-01
"
xlink:href
="
note-0327-01a
"
xml:space
="
preserve
">Fig. 221.</
note
>
curva AN E deſignetur talis, ut ductâ liberè rectà MN G
<
lb
/>
ad BD parallelâ, quæ ipſam AN E ſecet in N, ſit curva AN
<
lb
/>
æqualis ipſi GM .</
s
>
<
s
xml:id
="
echoid-s16491
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s16492
"
xml:space
="
preserve
">Curva AN E talis ſit ut ſi MT curvam AMB, & </
s
>
<
s
xml:id
="
echoid-s16493
"
xml:space
="
preserve
">NS cur-
<
lb
/>
vam ANE tangant, ſit SG. </
s
>
<
s
xml:id
="
echoid-s16494
"
xml:space
="
preserve
">GN :</
s
>
<
s
xml:id
="
echoid-s16495
"
xml:space
="
preserve
">: TG. </
s
>
<
s
xml:id
="
echoid-s16496
"
xml:space
="
preserve
">√ GM q - TG q,
<
lb
/>
ipſa ANE Propoſito faciet ſatis.</
s
>
<
s
xml:id
="
echoid-s16497
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div585
"
type
="
section
"
level
="
1
"
n
="
103
">
<
head
xml:id
="
echoid-head107
"
xml:space
="
preserve
">_Probl_. II.</
head
>
<
p
>
<
s
xml:id
="
echoid-s16498
"
xml:space
="
preserve
">Iiſdem quoad cætera Suppoſitis, & </
s
>
<
s
xml:id
="
echoid-s16499
"
xml:space
="
preserve
">conſtitutis; </
s
>
<
s
xml:id
="
echoid-s16500
"
xml:space
="
preserve
">curva ANE
<
lb
/>
jam talis eſſe debeat, ut curva AN ſemper æquetur interceptæ rectæ
<
lb
/>
NM.</
s
>
<
s
xml:id
="
echoid-s16501
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s16502
"
xml:space
="
preserve
">Curva ANE jam talis ſit, ut ſit SG. </
s
>
<
s
xml:id
="
echoid-s16503
"
xml:space
="
preserve
">GN :</
s
>
<
s
xml:id
="
echoid-s16504
"
xml:space
="
preserve
">: 2 TG x GM.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s16505
"
xml:space
="
preserve
">GM q - TG q; </
s
>
<
s
xml:id
="
echoid-s16506
"
xml:space
="
preserve
">erit ANE curva quæ deſideratur.</
s
>
<
s
xml:id
="
echoid-s16507
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div586
"
type
="
section
"
level
="
1
"
n
="
104
">
<
head
xml:id
="
echoid-head108
"
xml:space
="
preserve
">_Probl_. III.</
head
>
<
p
>
<
s
xml:id
="
echoid-s16508
"
xml:space
="
preserve
">Datur curva quæpiam DX X, cujus axis DA ; </
s
>
<
s
xml:id
="
echoid-s16509
"
xml:space
="
preserve
">reperiatur curva
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0327-02
"
xlink:href
="
note-0327-02a
"
xml:space
="
preserve
">Fig. 222.</
note
>
AM B proprietate talis, ut ſi liberè ducatur recta GX M ad ipſam
<
lb
/>
AD perpendicularis, ponaturque SM T curvam AM tangere, ſit
<
lb
/>
MS æqualis ipſi GX .</
s
>
<
s
xml:id
="
echoid-s16510
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s16511
"
xml:space
="
preserve
">Liquetrationem TG ad TM (hoc eſt rationem GD ad MS, vel
<
lb
/>
GX ) dari; </
s
>
<
s
xml:id
="
echoid-s16512
"
xml:space
="
preserve
">adeoque rationem TG ad GM quoque dari.</
s
>
<
s
xml:id
="
echoid-s16513
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>