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
>
211
(191)
212
(192)
213
(193)
214
(194)
215
(195)
216
217
(197)
218
(198)
219
(199)
220
(200)
<
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
|<
<
(190)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div476
"
type
="
section
"
level
="
1
"
n
="
287
">
<
pb
o
="
190
"
file
="
0210
"
n
="
210
"
rhead
="
GEOMETRI Æ
"/>
</
div
>
<
div
xml:id
="
echoid-div479
"
type
="
section
"
level
="
1
"
n
="
288
">
<
head
xml:id
="
echoid-head304
"
xml:space
="
preserve
">COROLLARIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s4676
"
xml:space
="
preserve
">_H_Inc patet cubùm totius, AC, æquari parallelepipedis ſub ſingulis
<
lb
/>
partibus i pſius, AC, & </
s
>
<
s
xml:id
="
echoid-s4677
"
xml:space
="
preserve
">ſingulis partibus quadrati, AC, quod
<
lb
/>
etiam patet ex Theoremate 35.</
s
>
<
s
xml:id
="
echoid-s4678
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div480
"
type
="
section
"
level
="
1
"
n
="
289
">
<
head
xml:id
="
echoid-head305
"
xml:space
="
preserve
">THEOREMA XXXVIII. PROPOS. XXXVIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4679
"
xml:space
="
preserve
">SI recta linea in vno puncto ſecta ſit vtcumq; </
s
>
<
s
xml:id
="
echoid-s4680
"
xml:space
="
preserve
">cubus totius
<
lb
/>
æquatur cubis partium, vna cum parallel@ pipedis rer
<
lb
/>
ſub qualibet partium, & </
s
>
<
s
xml:id
="
echoid-s4681
"
xml:space
="
preserve
">quadrato reliquæ. </
s
>
<
s
xml:id
="
echoid-s4682
"
xml:space
="
preserve
">Vel æquatur
<
lb
/>
cubis partium vna cum tribus parallelepipedis, ſub tota, & </
s
>
<
s
xml:id
="
echoid-s4683
"
xml:space
="
preserve
">
<
lb
/>
eiuſdem partibus contentis.</
s
>
<
s
xml:id
="
echoid-s4684
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4685
"
xml:space
="
preserve
">Sit recta linea, AC, vtcumque ſecta in puncto, B. </
s
>
<
s
xml:id
="
echoid-s4686
"
xml:space
="
preserve
">Dico cubum,
<
lb
/>
AC, æquari cubis, AB, BC, & </
s
>
<
s
xml:id
="
echoid-s4687
"
xml:space
="
preserve
">parallelepipedis ter ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4688
"
xml:space
="
preserve
">
<
lb
/>
quadrato, BC, & </
s
>
<
s
xml:id
="
echoid-s4689
"
xml:space
="
preserve
">ter ſub, BC, & </
s
>
<
s
xml:id
="
echoid-s4690
"
xml:space
="
preserve
">quadrato, AB. </
s
>
<
s
xml:id
="
echoid-s4691
"
xml:space
="
preserve
">Nam parallele-
<
lb
/>
pipedum ſub, AC, & </
s
>
<
s
xml:id
="
echoid-s4692
"
xml:space
="
preserve
">quadrato, AC, (qui eſt cubus, AC,) æqua-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0210-01
"
xlink:href
="
note-0210-01a
"
xml:space
="
preserve
">ExCorol.
<
lb
/>
ant. vel ex
<
lb
/>
35. huius.</
note
>
tur parallelepipedis ſub ſingulis partibus ipſius, AC, & </
s
>
<
s
xml:id
="
echoid-s4693
"
xml:space
="
preserve
">ſub ſingulis
<
lb
/>
partibus quadrati, AC, ab hac diuiſione prouenientibus, ideſt pa-
<
lb
/>
rallelepipedo ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4694
"
xml:space
="
preserve
">quadrato, AB, qui eſt cubus, AB, item
<
lb
/>
ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4695
"
xml:space
="
preserve
">quadrato, BC, item ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4696
"
xml:space
="
preserve
">rectangulo, ABC, bis,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0210-02
"
xlink:href
="
note-0210-02a
"
xml:space
="
preserve
">36. huius.
<
lb
/>
Pars I.</
note
>
ideſt ſub, CB, & </
s
>
<
s
xml:id
="
echoid-s4697
"
xml:space
="
preserve
">quadrato, BA, bis ſumpto, habemus ergo vnum
<
lb
/>
<
figure
xlink:label
="
fig-0210-01
"
xlink:href
="
fig-0210-01a
"
number
="
126
">
<
image
file
="
0210-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0210-01
"/>
</
figure
>
cubum, AB, vnum parallelepipedum ſub,
<
lb
/>
AB, & </
s
>
<
s
xml:id
="
echoid-s4698
"
xml:space
="
preserve
">quadrato, BC, & </
s
>
<
s
xml:id
="
echoid-s4699
"
xml:space
="
preserve
">duo ſub, BC, & </
s
>
<
s
xml:id
="
echoid-s4700
"
xml:space
="
preserve
">
<
lb
/>
quadrato, BA; </
s
>
<
s
xml:id
="
echoid-s4701
"
xml:space
="
preserve
">tranſeamus nunc ad aliam
<
lb
/>
partem, BC, remanent ergo parallelepipe.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4702
"
xml:space
="
preserve
">da ſub, BC, & </
s
>
<
s
xml:id
="
echoid-s4703
"
xml:space
="
preserve
">quadrato, BC, ideſt vnus cubus, BC, item ſub, C
<
lb
/>
B, & </
s
>
<
s
xml:id
="
echoid-s4704
"
xml:space
="
preserve
">quadrato, AB, & </
s
>
<
s
xml:id
="
echoid-s4705
"
xml:space
="
preserve
">tandem ſub, CB, & </
s
>
<
s
xml:id
="
echoid-s4706
"
xml:space
="
preserve
">rectangulo, CBA, bis,
<
lb
/>
ideſt ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4707
"
xml:space
="
preserve
">quadrato, BC, bis, ſi igitur hæc poſteriora pa-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0210-03
"
xlink:href
="
note-0210-03a
"
xml:space
="
preserve
">30. huius.
<
lb
/>
Pars I.</
note
>
rallelepipeda prioribus iunxeris habebis cubum, AB, cubum, BC,
<
lb
/>
parallelepipedum ter ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4708
"
xml:space
="
preserve
">quadrato, BC, & </
s
>
<
s
xml:id
="
echoid-s4709
"
xml:space
="
preserve
">ter ſub, BC, & </
s
>
<
s
xml:id
="
echoid-s4710
"
xml:space
="
preserve
">
<
lb
/>
quadrato, BA, quibus æquale erit parallelepipedum ſub, CA, & </
s
>
<
s
xml:id
="
echoid-s4711
"
xml:space
="
preserve
">
<
lb
/>
quadrato, CA, ideſt cubus, CA. </
s
>
<
s
xml:id
="
echoid-s4712
"
xml:space
="
preserve
">Quia verò parallelepipedum ſub,
<
lb
/>
CB, & </
s
>
<
s
xml:id
="
echoid-s4713
"
xml:space
="
preserve
">quadrato, BA, ideſt ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4714
"
xml:space
="
preserve
">rectangulo, ABC, cum
<
lb
/>
parallelepipedo ſub, AB, & </
s
>
<
s
xml:id
="
echoid-s4715
"
xml:space
="
preserve
">quadrato, BC, ideſt ſub, CB, & </
s
>
<
s
xml:id
="
echoid-s4716
"
xml:space
="
preserve
">re-
<
lb
/>
ctangulo, ABC, æquatur, ex 35. </
s
>
<
s
xml:id
="
echoid-s4717
"
xml:space
="
preserve
">huius, parallelepipedo ſub tota,
<
lb
/>
AC, & </
s
>
<
s
xml:id
="
echoid-s4718
"
xml:space
="
preserve
">rectangulo ſub partibus, AB, BC, ideò dicta ſex parallelepi-
<
lb
/>
peda tribus ſub tota, AC, & </
s
>
<
s
xml:id
="
echoid-s4719
"
xml:space
="
preserve
">partibus eiuidem, AB, BC, æqualia
<
lb
/>
c
<
unsure
/>
runt, quod demonſtrare propoſitum fuit.</
s
>
<
s
xml:id
="
echoid-s4720
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>