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
>
111
(91)
112
(92)
113
(93)
114
(94)
115
(95)
116
(96)
117
(97)
118
(98)
119
(99)
120
(100)
<
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
|<
<
(38)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div122
"
type
="
section
"
level
="
1
"
n
="
85
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1013
"
xml:space
="
preserve
">
<
pb
o
="
38
"
file
="
0058
"
n
="
58
"
rhead
="
GEOMETRIÆ
"/>
bus, quæ ſunt regulæ homologarum earundem, poſſunt reperiri duæ in-
<
lb
/>
cidentes earundem, quarum altera ſit iam ducta; </
s
>
<
s
xml:id
="
echoid-s1014
"
xml:space
="
preserve
">veluti, acta, HP, vt-
<
lb
/>
cumque inuentæ ſunt duæ incidentes, KN, HP, quarum altera fuit,
<
lb
/>
HP. </
s
>
<
s
xml:id
="
echoid-s1015
"
xml:space
="
preserve
">Et quia bomologarum in eaſdem incidentes productarum, & </
s
>
<
s
xml:id
="
echoid-s1016
"
xml:space
="
preserve
">ad
<
lb
/>
eas terminatarum, portiones, eodem ordine ſumpcæ, ſunt proportiona-
<
lb
/>
les, ſunt enim, vt ipſæ incidentes, ideò per homologarum productarum,
<
lb
/>
talia extremaſemper tranſeunt aliquæ incidentes.</
s
>
<
s
xml:id
="
echoid-s1017
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div123
"
type
="
section
"
level
="
1
"
n
="
86
">
<
head
xml:id
="
echoid-head97
"
xml:space
="
preserve
">THEOREMA XVII. PROPOS. XX.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1018
"
xml:space
="
preserve
">SI conicus ſecetur quomodocumq; </
s
>
<
s
xml:id
="
echoid-s1019
"
xml:space
="
preserve
">planis parallelis, cum
<
lb
/>
omnibus eiuſdem lateribus coincidentibus, conceptæ
<
lb
/>
in ipſo figuræ erunt inter ſe ſimiles, & </
s
>
<
s
xml:id
="
echoid-s1020
"
xml:space
="
preserve
">ſimiliter poſitæ.</
s
>
<
s
xml:id
="
echoid-s1021
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1022
"
xml:space
="
preserve
">Sit conicus, cuius baſis, FHG, ver-
<
lb
/>
<
figure
xlink:label
="
fig-0058-01
"
xlink:href
="
fig-0058-01a
"
number
="
29
">
<
image
file
="
0058-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0058-01
"/>
</
figure
>
tex, A, ſecetur autein vtcumque planis
<
lb
/>
parallelis, quæ cum omnibus eiuſdem la-
<
lb
/>
teribus coincidant, & </
s
>
<
s
xml:id
="
echoid-s1023
"
xml:space
="
preserve
">ſint conceptæ in
<
lb
/>
ipſo figuræ, DME, BNC. </
s
>
<
s
xml:id
="
echoid-s1024
"
xml:space
="
preserve
">Dico has
<
lb
/>
eſſe ſimiles, & </
s
>
<
s
xml:id
="
echoid-s1025
"
xml:space
="
preserve
">ſimiliter poſitas: </
s
>
<
s
xml:id
="
echoid-s1026
"
xml:space
="
preserve
">Nam
<
lb
/>
quia planum figuræ, DME, coincidit
<
lb
/>
omnibus lateribus conici, AFHG, ideo
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0058-01
"
xlink:href
="
note-0058-01a
"
xml:space
="
preserve
">17. Huius.</
note
>
eſt etiam conicus ipſe, ADME, ſecatur
<
lb
/>
autem plano eius baſi, DME, æquidi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0058-02
"
xlink:href
="
note-0058-02a
"
xml:space
="
preserve
">Exantec.</
note
>
ſtante, eo ſcilicet, quod producit figu-
<
lb
/>
ram, BNC, ergo figura, BNC, erit ſi-
<
lb
/>
milis baſi, DME, & </
s
>
<
s
xml:id
="
echoid-s1027
"
xml:space
="
preserve
">eidem ſimiliter po-
<
lb
/>
ſita, quod erat demonſtrandum.</
s
>
<
s
xml:id
="
echoid-s1028
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div125
"
type
="
section
"
level
="
1
"
n
="
87
">
<
head
xml:id
="
echoid-head98
"
xml:space
="
preserve
">THE OREMA XVIII. PROPOS. XXI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1029
"
xml:space
="
preserve
">SI quilibet conicus ſecetur plano per verticem, ſiue ab
<
lb
/>
eodem tangatur in plano, nempe in triangulo, veltrian-
<
lb
/>
gulis, ſecetur autem alijs planis vtcumq; </
s
>
<
s
xml:id
="
echoid-s1030
"
xml:space
="
preserve
">baſi parallelis, com-
<
lb
/>
munes ſectiones, quæ ab eodem plano ſecante ſiunt in dictis
<
lb
/>
planis baſi parallelis, erunt homologę lineę, vel latera figu-
<
lb
/>
rarum, quæ ab eiſdem æquidiſtantibus planis in eodem co-
<
lb
/>
nico producuntur.</
s
>
<
s
xml:id
="
echoid-s1031
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>