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
>
31
(11)
32
(12)
33
(13)
34
(14)
35
(15)
36
(16)
37
(17)
38
(18)
39
(19)
40
(20)
<
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
|<
<
(13)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div51
"
type
="
section
"
level
="
1
"
n
="
43
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s493
"
xml:space
="
preserve
">
<
pb
o
="
13
"
file
="
0033
"
n
="
33
"
rhead
="
LIBER I.
"/>
iangentium, ideſt ipſas, Χ Δ, Υ Ζ, FQ, KL. </
s
>
<
s
xml:id
="
echoid-s494
"
xml:space
="
preserve
">Hìsìgitur
<
lb
/>
poſitis, voco ſolida, Γ β 3 Φ, AHBM, ſimilia; </
s
>
<
s
xml:id
="
echoid-s495
"
xml:space
="
preserve
">ſiguras verò, F
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0033-01
"
xlink:href
="
note-0033-01a
"
xml:space
="
preserve
">_A. Def. @@._</
note
>
GKD, ΧVΥΤ; </
s
>
<
s
xml:id
="
echoid-s496
"
xml:space
="
preserve
">dicθ figuras incidentes ſimilium ſolidorum iam
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0033-02
"
xlink:href
="
note-0033-02a
"
xml:space
="
preserve
">_B. Def.
<
gap
/>
_</
note
>
dictorum, et oppoſitorum tangentium planorum, ℟ Δ, & </
s
>
<
s
xml:id
="
echoid-s497
"
xml:space
="
preserve
">Z; </
s
>
<
s
xml:id
="
echoid-s498
"
xml:space
="
preserve
">PQ,
<
lb
/>
Π L; </
s
>
<
s
xml:id
="
echoid-s499
"
xml:space
="
preserve
">ipſas autem figuras, β λ, Σ Φ, HE, CM, et eas, quarum
<
lb
/>
extenſa plana ſimiliter ad eandem partem diuidunt altitudines
<
lb
/>
ſolidorum, Γ β 3 Φ, AHBM, reſpectu dictorum tangentium
<
lb
/>
planorum ſumptas, & </
s
>
<
s
xml:id
="
echoid-s500
"
xml:space
="
preserve
">ſunt ſimiles, velbinæ ſimiles, & </
s
>
<
s
xml:id
="
echoid-s501
"
xml:space
="
preserve
">ſimiliter
<
lb
/>
inter ſe diſpoſitæ, voco figuras homologas dictorum ſolidorum,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0033-03
"
xlink:href
="
note-0033-03a
"
xml:space
="
preserve
">_C. Def. 11._</
note
>
ſumptas, regulis earum duabus, vel dictis tangentibus planis.</
s
>
<
s
xml:id
="
echoid-s502
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div54
"
type
="
section
"
level
="
1
"
n
="
44
">
<
head
xml:id
="
echoid-head54
"
xml:space
="
preserve
">SCHOLIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s503
"
xml:space
="
preserve
">_A_Duertendum eſt autem pro ſimilium figurarum nominatione,
<
lb
/>
dum voco eas ſimiles figuras ſiue planas, ſiue ſolidas, me intel-
<
lb
/>
ligere in eis d finitiones generales ſuperius allatas; </
s
>
<
s
xml:id
="
echoid-s504
"
xml:space
="
preserve
">dum verò eas
<
lb
/>
particulari nomine appello, intelligere definitiones particulares pro
<
lb
/>
ipſarum ſimilitudine ab alijs, vel à me allatas, vt cum dicam, ſimi-
<
lb
/>
les coni ſectionum portiones, intelligam particularem in eis definitio-
<
lb
/>
nem, & </
s
>
<
s
xml:id
="
echoid-s505
"
xml:space
="
preserve
">cum dicam (ſimilta parallelogramma) intelligam in eis par-
<
lb
/>
ticularem definitionem ſimilium rectilinearum figurarum, & </
s
>
<
s
xml:id
="
echoid-s506
"
xml:space
="
preserve
">fic in
<
lb
/>
cæteris, licet vtramq; </
s
>
<
s
xml:id
="
echoid-s507
"
xml:space
="
preserve
">definitionem tum particularem, tum genera-
<
lb
/>
lem, de eiſdem figuris verificari inferius oſtendemus.</
s
>
<
s
xml:id
="
echoid-s508
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div55
"
type
="
section
"
level
="
1
"
n
="
45
">
<
head
xml:id
="
echoid-head55
"
xml:space
="
preserve
">XII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s509
"
xml:space
="
preserve
">CVm fuerint quotcumque magnitudines eiuſdem ge-
<
lb
/>
neris vtcumque diſpoſitæ, prima ad vltimam dicitur
<
lb
/>
habere rationem compoſitam exrationibus primæ ad ſe-
<
lb
/>
cundam, ſecundæ ad tertiam, tertiæ ad quartam, & </
s
>
<
s
xml:id
="
echoid-s510
"
xml:space
="
preserve
">ſic de-
<
lb
/>
inceps vſq; </
s
>
<
s
xml:id
="
echoid-s511
"
xml:space
="
preserve
">ad vltimam.</
s
>
<
s
xml:id
="
echoid-s512
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div56
"
type
="
section
"
level
="
1
"
n
="
46
">
<
head
xml:id
="
echoid-head56
"
xml:space
="
preserve
">XIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s513
"
xml:space
="
preserve
">CVm vnum, & </
s
>
<
s
xml:id
="
echoid-s514
"
xml:space
="
preserve
">idem antecedens ad plura conſequen-
<
lb
/>
tia comparatum fuerit, ſingillatim ad vnumquodq;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s515
"
xml:space
="
preserve
">comparare idem ad eadem conſequentia ſimul collecta, di-
<
lb
/>
cemus, colligere, vel, colligendo.</
s
>
<
s
xml:id
="
echoid-s516
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>