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
>
331
(311)
332
(312)
333
(313)
334
(314)
335
(315)
336
(316)
337
(317)
338
(318)
339
(319)
340
(320)
<
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
|<
<
(314)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div750
"
type
="
section
"
level
="
1
"
n
="
442
">
<
p
>
<
s
xml:id
="
echoid-s7555
"
xml:space
="
preserve
">
<
pb
o
="
314
"
file
="
0334
"
n
="
334
"
rhead
="
GEOMETRIE
"/>
magnitudines collectæ iuxta tertiam, & </
s
>
<
s
xml:id
="
echoid-s7556
"
xml:space
="
preserve
">quartam. </
s
>
<
s
xml:id
="
echoid-s7557
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7558
"
xml:space
="
preserve
">iuxta, ON, ter-
<
lb
/>
tiam, &</
s
>
<
s
xml:id
="
echoid-s7559
"
xml:space
="
preserve
">, NX, quartam, ijſdem recti, vel eiuſdem obliqui tranſitus
<
lb
/>
ſumptis: </
s
>
<
s
xml:id
="
echoid-s7560
"
xml:space
="
preserve
">Quia verò datæ rectæ lineæ, OR, adiungitur, RN, ideò
<
lb
/>
maximæ abſciſſarum, OR, adiuncta, RN, ad omnes abſciſſas, OR,
<
lb
/>
adiuncta, RN, recti, vel eiuſdem obliqui tranſitus, ſunt vt, ON, ad
<
lb
/>
compoſitam ex, NR, & </
s
>
<
s
xml:id
="
echoid-s7561
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s7562
"
xml:space
="
preserve
">RO, ideò omnia quadrata, RH, ad om.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7563
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0334-01
"
xlink:href
="
note-0334-01a
"
xml:space
="
preserve
">Corol.
<
lb
/>
20. 1. 2.</
note
>
nia quadrata quadrilinei, RMHO, vel eorum quadrupla. </
s
>
<
s
xml:id
="
echoid-s7564
"
xml:space
="
preserve
">. </
s
>
<
s
xml:id
="
echoid-s7565
"
xml:space
="
preserve
">omnia
<
lb
/>
quadrata. </
s
>
<
s
xml:id
="
echoid-s7566
"
xml:space
="
preserve
">PH, ad omnia quadrata fruſt, ABHM, erunt vt, ON,
<
lb
/>
ad compoſitamex, NR, & </
s
>
<
s
xml:id
="
echoid-s7567
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s7568
"
xml:space
="
preserve
">RO; </
s
>
<
s
xml:id
="
echoid-s7569
"
xml:space
="
preserve
">Et conuertendo omnia quadrata
<
lb
/>
fruſti, ABHM, ad omnia quadrata, PH, erunt vt compoſita ex,
<
lb
/>
NR, & </
s
>
<
s
xml:id
="
echoid-s7570
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s7571
"
xml:space
="
preserve
">RO, ad, NO, omnia verò quadrata, PH, omnium qua-
<
lb
/>
dratorumtrianguli, RBH, ſunt tripla. </
s
>
<
s
xml:id
="
echoid-s7572
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s7573
"
xml:space
="
preserve
">ſunt vt, NO, ad {1/3}. </
s
>
<
s
xml:id
="
echoid-s7574
"
xml:space
="
preserve
">eiuſ-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0334-02
"
xlink:href
="
note-0334-02a
"
xml:space
="
preserve
">24. 1. 2.</
note
>
dem, NO, ergo, ex æquali, omnia quadrata fruſti, ABHM, ad
<
lb
/>
omnia quadrata trianguli, BRH, erunt vt compoſita ex, NR, & </
s
>
<
s
xml:id
="
echoid-s7575
"
xml:space
="
preserve
">{1/2}.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7576
"
xml:space
="
preserve
">RO, ad {1/3}. </
s
>
<
s
xml:id
="
echoid-s7577
"
xml:space
="
preserve
">NO, vel vt horum tripla. </
s
>
<
s
xml:id
="
echoid-s7578
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7579
"
xml:space
="
preserve
">vt compoſita ex tribus, NR,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s7580
"
xml:space
="
preserve
">ſexquialtera, RO, adipſam, NO, porrò ſi iunxerimus vnam,
<
lb
/>
NR, cum, RO, fiet integra, ON, cum duabus, NR, & </
s
>
<
s
xml:id
="
echoid-s7581
"
xml:space
="
preserve
">dimidia,
<
lb
/>
RO, æqualistriplæ, NR, & </
s
>
<
s
xml:id
="
echoid-s7582
"
xml:space
="
preserve
">ſexqualteræ, RO; </
s
>
<
s
xml:id
="
echoid-s7583
"
xml:space
="
preserve
">ergo omnia qua-
<
lb
/>
drata fruſti, ABHM, ad omnia quadrata trianguli, RBH, erunt
<
lb
/>
vt compoſita ex dupla, NR, & </
s
>
<
s
xml:id
="
echoid-s7584
"
xml:space
="
preserve
">dimidia, RO, cum, NO; </
s
>
<
s
xml:id
="
echoid-s7585
"
xml:space
="
preserve
">ad ipſam,
<
lb
/>
NO; </
s
>
<
s
xml:id
="
echoid-s7586
"
xml:space
="
preserve
">quæ oſtendere oportebat.</
s
>
<
s
xml:id
="
echoid-s7587
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div752
"
type
="
section
"
level
="
1
"
n
="
443
">
<
head
xml:id
="
echoid-head463
"
xml:space
="
preserve
">COROLLARIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s7588
"
xml:space
="
preserve
">_O_Via autem probatum fuit omnia quadrata, PH, ad omnia quã-
<
lb
/>
drata fruſti, ABHM, eſſe vt, NO, ad dimidiam, OR, cum,
<
lb
/>
RN, ſunt autem omnia quadrata, PH, ad omnia quadrata parallelo-
<
lb
/>
grammi, AG, vt quadratam, HO, ad quadratam, RM, . </
s
>
<
s
xml:id
="
echoid-s7589
"
xml:space
="
preserve
">i. </
s
>
<
s
xml:id
="
echoid-s7590
"
xml:space
="
preserve
">vt, ON,
<
lb
/>
ad NR, ideò omnia quadrata, PH, ad omnia quadrata fruſti, AB
<
lb
/>
HM, ab ijſdem demptis omnibus quadratis, AG, erunt vt, NO,
<
lb
/>
ad dimidiam ipſius, OR.</
s
>
<
s
xml:id
="
echoid-s7591
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div753
"
type
="
section
"
level
="
1
"
n
="
444
">
<
head
xml:id
="
echoid-head464
"
xml:space
="
preserve
">THEOREMA XXIII. PROPOS. XXIV.</
head
>
<
p
>
<
s
xml:id
="
echoid-s7592
"
xml:space
="
preserve
">SI intra curuam parabolæ ducatur vtcunq; </
s
>
<
s
xml:id
="
echoid-s7593
"
xml:space
="
preserve
">recta linea in
<
lb
/>
eandem terminata, & </
s
>
<
s
xml:id
="
echoid-s7594
"
xml:space
="
preserve
">ad axem obliqua, deinde intra
<
lb
/>
portionem ab ipſa reſectam ducatur alia vtcunq; </
s
>
<
s
xml:id
="
echoid-s7595
"
xml:space
="
preserve
">prædictæ
<
lb
/>
parallela, agantur autem ab extremitate harum parallela-
<
lb
/>
rum lineæ axi æquidiſtantes: </
s
>
<
s
xml:id
="
echoid-s7596
"
xml:space
="
preserve
">Vt baſis reſectæ portionis ad
<
lb
/>
diſtantiam parallelarum ab eiuſdem extremitate </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>