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
>
341
(321)
342
(322)
343
(323)
344
(324)
345
(325)
346
(326)
347
(327)
348
(328)
349
(329)
350
(330)
<
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
|<
<
(325)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div782
"
type
="
section
"
level
="
1
"
n
="
463
">
<
pb
o
="
325
"
file
="
0345
"
n
="
345
"
rhead
="
LIBER IV.
"/>
</
div
>
<
div
xml:id
="
echoid-div783
"
type
="
section
"
level
="
1
"
n
="
464
">
<
head
xml:id
="
echoid-head484
"
xml:space
="
preserve
">E. SECTIO V.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s7811
"
xml:space
="
preserve
">_T_Andem, quòd, ſi dictorum trilineorum ſecantes ád tángentes eán-
<
lb
/>
demrationem habuerint, omnia quadrata eorundem erunt in tri-
<
lb
/>
plaratione tangentium, vel ſecantium.</
s
>
<
s
xml:id
="
echoid-s7812
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div784
"
type
="
section
"
level
="
1
"
n
="
465
">
<
head
xml:id
="
echoid-head485
"
xml:space
="
preserve
">THEOREMA XXIX. PROPOS. XXXI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s7813
"
xml:space
="
preserve
">EXponatur figura Theor. </
s
>
<
s
xml:id
="
echoid-s7814
"
xml:space
="
preserve
">antecedentis, & </
s
>
<
s
xml:id
="
echoid-s7815
"
xml:space
="
preserve
">intra paralle-
<
lb
/>
logrammum, AC, ducatur vtcunq; </
s
>
<
s
xml:id
="
echoid-s7816
"
xml:space
="
preserve
">recta, EF, pa-
<
lb
/>
rallelaipſi, BC, quæ ſumatur pro regula: </
s
>
<
s
xml:id
="
echoid-s7817
"
xml:space
="
preserve
">Oſtendemus. </
s
>
<
s
xml:id
="
echoid-s7818
"
xml:space
="
preserve
">n.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7819
"
xml:space
="
preserve
">om@ia quadrata, AC, demptis omnibus quadratis ſemipa-
<
lb
/>
rabolæ, ABC, ad omnia quadrata, EC, demptis omni-
<
lb
/>
bus quadratis quadrilinei, MEBC, eſſe vt quadratum, A
<
lb
/>
B, ad quadratum, BE.</
s
>
<
s
xml:id
="
echoid-s7820
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7821
"
xml:space
="
preserve
">Omnia. </
s
>
<
s
xml:id
="
echoid-s7822
"
xml:space
="
preserve
">n. </
s
>
<
s
xml:id
="
echoid-s7823
"
xml:space
="
preserve
">quadrata, AC, ad omnia quadrata, EC, demptis
<
lb
/>
omnibus quadratis quadrilinei, EMCB, habent rationem compo-
<
lb
/>
ſitam ex ea, quam habent omnia quadrata, AC, ad omnia qua-
<
lb
/>
drata, EC, ideſt ex ea, quam habet, AB, ad, BE, & </
s
>
<
s
xml:id
="
echoid-s7824
"
xml:space
="
preserve
">ex ea,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0345-01
"
xlink:href
="
note-0345-01a
"
xml:space
="
preserve
">10. l. 2.</
note
>
quam habent omnia quadrata, EC, ad reſiduum, demptis ab ijſdem
<
lb
/>
<
figure
xlink:label
="
fig-0345-01
"
xlink:href
="
fig-0345-01a
"
number
="
232
">
<
image
file
="
0345-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0345-01
"/>
</
figure
>
omnibus quadratis quadrilinei, MEBC,
<
lb
/>
.</
s
>
<
s
xml:id
="
echoid-s7825
"
xml:space
="
preserve
">i. </
s
>
<
s
xml:id
="
echoid-s7826
"
xml:space
="
preserve
">ex ea, quam habet, AB, ad {1/2}, BE,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0345-02
"
xlink:href
="
note-0345-02a
"
xml:space
="
preserve
">23. huius.</
note
>
duæ autem hæ rationes .</
s
>
<
s
xml:id
="
echoid-s7827
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7828
"
xml:space
="
preserve
">quàm habet,
<
lb
/>
AB, ad, BE, &</
s
>
<
s
xml:id
="
echoid-s7829
"
xml:space
="
preserve
">, AB, ad {1/2}. </
s
>
<
s
xml:id
="
echoid-s7830
"
xml:space
="
preserve
">BE, com-
<
lb
/>
ponunt rationem quadrati, AB, ad re-
<
lb
/>
ctangulum ſub, EB, & </
s
>
<
s
xml:id
="
echoid-s7831
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s7832
"
xml:space
="
preserve
">BE, .</
s
>
<
s
xml:id
="
echoid-s7833
"
xml:space
="
preserve
">i. </
s
>
<
s
xml:id
="
echoid-s7834
"
xml:space
="
preserve
">ad
<
lb
/>
dimidium quadrati, BE, ergo omnia
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0345-03
"
xlink:href
="
note-0345-03a
"
xml:space
="
preserve
">21. huius.</
note
>
quadrata, AC, ad omnia quadrata, E
<
lb
/>
C, demptis omnibus quadratis quadrili-
<
lb
/>
nei, MEBC, erunt vt quadratum, AB,
<
lb
/>
ad dimidium quadrati, BE, ſunt autem omnia quadrata, AC,
<
lb
/>
demptis omnibus quadratis ſemiparabolæ, ABC, dimidium
<
lb
/>
omnium quadratorum, AC, quia omnia quadrata, AC, ſunt du-
<
lb
/>
pla omnium quadratorum ſemiparabolæ, ABC, ergo omnia qua-
<
lb
/>
drata, AC, demptis omnibus quadratis ſemiparabolæ, ABC, ad
<
lb
/>
omnia quadrata, EC, demptis omnibus quadratis quadrilinei, E
<
lb
/>
MCB, erunt vt dimidium quadrati, AB, ad dimidium quadrati,
<
lb
/>
BE, ideſt vt quadratum, AB, ad quadratum, BE, quod erat
<
lb
/>
demonſtrandum.</
s
>
<
s
xml:id
="
echoid-s7835
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>