Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 569
>
201
(181)
202
(182)
203
(183)
204
(184)
205
(185)
206
(186)
207
(187)
208
(188)
209
(189)
210
(190)
<
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 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 569
>
page
|<
<
(184)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div454
"
type
="
section
"
level
="
1
"
n
="
273
">
<
pb
o
="
184
"
file
="
0204
"
n
="
204
"
rhead
="
GEOMETRI Æ
"/>
</
div
>
<
div
xml:id
="
echoid-div455
"
type
="
section
"
level
="
1
"
n
="
274
">
<
head
xml:id
="
echoid-head290
"
xml:space
="
preserve
">D. SECTIO IV.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4506
"
xml:space
="
preserve
">_I_N Propoſ. </
s
>
<
s
xml:id
="
echoid-s4507
"
xml:space
="
preserve
">II. </
s
>
<
s
xml:id
="
echoid-s4508
"
xml:space
="
preserve
">deducemus cylindricos ſimilibus baſibus inſiſtentes
<
lb
/>
habere inter ſe rationem compoſitam ex ratione baſium, & </
s
>
<
s
xml:id
="
echoid-s4509
"
xml:space
="
preserve
">altitu-
<
lb
/>
dinum, vel laterum æqualiter dictis baſibus inclinatorum.</
s
>
<
s
xml:id
="
echoid-s4510
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div456
"
type
="
section
"
level
="
1
"
n
="
275
">
<
head
xml:id
="
echoid-head291
"
xml:space
="
preserve
">E. SECTIO V.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4511
"
xml:space
="
preserve
">_I_N Propoſ. </
s
>
<
s
xml:id
="
echoid-s4512
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s4513
"
xml:space
="
preserve
">colligemus cylindricos, quorum ſimiles baſes altitù-
<
lb
/>
dinibus, vel lateribus æqualiter baſibus inclinatis reciprocè re-
<
lb
/>
ſpondent, eſſe æquales; </
s
>
<
s
xml:id
="
echoid-s4514
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4515
"
xml:space
="
preserve
">cylindricos æquales, ſimilibus baſibus inſi-
<
lb
/>
ſtentes, baſes habere altitudinibus, vel lateribus æqualiter baſibus in-
<
lb
/>
clinatis, reciprocas.</
s
>
<
s
xml:id
="
echoid-s4516
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div457
"
type
="
section
"
level
="
1
"
n
="
276
">
<
head
xml:id
="
echoid-head292
"
xml:space
="
preserve
">F. SECTIO VI.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4517
"
xml:space
="
preserve
">_I_N Prop. </
s
>
<
s
xml:id
="
echoid-s4518
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s4519
"
xml:space
="
preserve
">habebimus ſimiles cylindricos eſſe in tripla ratione la-
<
lb
/>
terum homologorum.</
s
>
<
s
xml:id
="
echoid-s4520
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div458
"
type
="
section
"
level
="
1
"
n
="
277
">
<
head
xml:id
="
echoid-head293
"
xml:space
="
preserve
">G. SECTIO VII.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4521
"
xml:space
="
preserve
">_E_X Prop. </
s
>
<
s
xml:id
="
echoid-s4522
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s4523
"
xml:space
="
preserve
">colligimus ſi prædicti cylindrici inſiſtant baſibus diſ-
<
lb
/>
ſimilibus, adh uc prædictas paſſiones de ipſis ver@ficari; </
s
>
<
s
xml:id
="
echoid-s4524
"
xml:space
="
preserve
">in quibus
<
lb
/>
tamen non numerant ur ſimiles cylindrici, cum oporteat eoſdem ſimiles
<
lb
/>
baſes habere.</
s
>
<
s
xml:id
="
echoid-s4525
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div459
"
type
="
section
"
level
="
1
"
n
="
278
">
<
head
xml:id
="
echoid-head294
"
xml:space
="
preserve
">H. SECTIO VIII.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4526
"
xml:space
="
preserve
">_I_N Prop. </
s
>
<
s
xml:id
="
echoid-s4527
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s4528
"
xml:space
="
preserve
">habemus in eius figura, ſolida ſimilaria genita ex pa-
<
lb
/>
rallelogrammis, AS, Τβ, iuxta regulas, ES, Ζβ, ea@dem ratio-
<
lb
/>
nem babere ad ſolidi ſimilaria genita ex triangulis, OES, & </
s
>
<
s
xml:id
="
echoid-s4529
"
xml:space
="
preserve
">Ζβ, ideſt
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-01
"
xlink:href
="
note-0204-01a
"
xml:space
="
preserve
">_Ex hae_
<
lb
/>
_Propoſ._</
note
>
cyliadricos @enitos ex, AS, Τβ ad conicos genitos ex triangulis,
<
lb
/>
OES, & </
s
>
<
s
xml:id
="
echoid-s4530
"
xml:space
="
preserve
">Ζβ, eaadem rationem babere, vnde, cum conica
<
unsure
/>
ſint partes
<
lb
/>
proportionales cylindricorum in eadem altitudine cum ipſis exiſten-
<
lb
/>
tium, quæeunq; </
s
>
<
s
xml:id
="
echoid-s4531
"
xml:space
="
preserve
">de cylindricis in huius Coroll. </
s
>
<
s
xml:id
="
echoid-s4532
"
xml:space
="
preserve
">Sectionibus 2. </
s
>
<
s
xml:id
="
echoid-s4533
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s4534
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s4535
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s4536
"
xml:space
="
preserve
">6.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4537
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4538
"
xml:space
="
preserve
">7. </
s
>
<
s
xml:id
="
echoid-s4539
"
xml:space
="
preserve
">collecta ſunt, eadem & </
s
>
<
s
xml:id
="
echoid-s4540
"
xml:space
="
preserve
">pro conicis tamquam collecta recipiemus.</
s
>
<
s
xml:id
="
echoid-s4541
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>