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
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 569
>
Scan
Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
22
2
23
3
24
4
25
5
26
6
27
7
28
8
29
9
30
10
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 569
>
page
|<
<
(28)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div99
"
type
="
section
"
level
="
1
"
n
="
71
">
<
p
>
<
s
xml:id
="
echoid-s787
"
xml:space
="
preserve
">
<
pb
o
="
28
"
file
="
0048
"
n
="
48
"
rhead
="
GEOMETRIÆ
"/>
ad eandem partem ſecantium planorum exiſtent: </
s
>
<
s
xml:id
="
echoid-s788
"
xml:space
="
preserve
">Et ſi idem
<
lb
/>
ſecetur planis parallelis quomodocumq; </
s
>
<
s
xml:id
="
echoid-s789
"
xml:space
="
preserve
">omnibus eiuſdem
<
lb
/>
lateribus coincidentibus, conceptæ in cylindrico figuræ e-
<
lb
/>
runt ſimiles, æquales, & </
s
>
<
s
xml:id
="
echoid-s790
"
xml:space
="
preserve
">ſimiliter poſitæ.</
s
>
<
s
xml:id
="
echoid-s791
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s792
"
xml:space
="
preserve
">Conſpiciatur figura Propoſit. </
s
>
<
s
xml:id
="
echoid-s793
"
xml:space
="
preserve
">10. </
s
>
<
s
xml:id
="
echoid-s794
"
xml:space
="
preserve
">in qua iam propoſitas ſectiones
<
lb
/>
habemus, plana enim, AE, ME, tranſeuntia per cylindrici latera
<
lb
/>
<
figure
xlink:label
="
fig-0048-01
"
xlink:href
="
fig-0048-01a
"
number
="
21
">
<
image
file
="
0048-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0048-01
"/>
</
figure
>
ipſum ſecant, & </
s
>
<
s
xml:id
="
echoid-s795
"
xml:space
="
preserve
">plana, BNG, COF, omni-
<
lb
/>
bus eiuſdem lateribus coincidunt, & </
s
>
<
s
xml:id
="
echoid-s796
"
xml:space
="
preserve
">ſunt paral-
<
lb
/>
lela. </
s
>
<
s
xml:id
="
echoid-s797
"
xml:space
="
preserve
">Dico ergo figuras, MZH, EIV, eſſe ſi-
<
lb
/>
miles, & </
s
>
<
s
xml:id
="
echoid-s798
"
xml:space
="
preserve
">æquales, & </
s
>
<
s
xml:id
="
echoid-s799
"
xml:space
="
preserve
">ſimiliter poſitas, quod pa-
<
lb
/>
tet, nam illæ ſunt cylindrici, MHZI, oppoſi-
<
lb
/>
tæ baſes; </
s
>
<
s
xml:id
="
echoid-s800
"
xml:space
="
preserve
">idem eodem modo probabitur de figu-
<
lb
/>
ris, AMH, DVE, & </
s
>
<
s
xml:id
="
echoid-s801
"
xml:space
="
preserve
">de, ARH, DXE, & </
s
>
<
s
xml:id
="
echoid-s802
"
xml:space
="
preserve
">
<
lb
/>
tandem oſtendemus pariter figuras, BNGK, C
<
lb
/>
OFL, eſſe ſimiles, æquales, & </
s
>
<
s
xml:id
="
echoid-s803
"
xml:space
="
preserve
">ſimiliter poſitas,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0048-01
"
xlink:href
="
note-0048-01a
"
xml:space
="
preserve
">11. Huius.</
note
>
quia ſunt cylindrici, BF, oppoſitæ baſes, quod
<
lb
/>
demonſtrandum erat.</
s
>
<
s
xml:id
="
echoid-s804
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div101
"
type
="
section
"
level
="
1
"
n
="
72
">
<
head
xml:id
="
echoid-head83
"
xml:space
="
preserve
">COROLLARIV M.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s805
"
xml:space
="
preserve
">_H_Inc apparet, quamuis figuram planam ex ſectione plani, oppofi-
<
lb
/>
tis baſibus cylindrici æquidiſtantis, in eo productam, eiſdem op-
<
lb
/>
poſitis baſibus eſſe ſimilem, æqualem, & </
s
>
<
s
xml:id
="
echoid-s806
"
xml:space
="
preserve
">ſimiliter poſitam.</
s
>
<
s
xml:id
="
echoid-s807
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div102
"
type
="
section
"
level
="
1
"
n
="
73
">
<
head
xml:id
="
echoid-head84
"
xml:space
="
preserve
">THEOREMA X. PROPOS. XIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s808
"
xml:space
="
preserve
">SI quis cylindricus ſecetur plano per latera, deinde ſece-
<
lb
/>
tur planis oppoſitis eiuſdem baſibus æquidiſtantibus:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s809
"
xml:space
="
preserve
">Communes ſectiones plani per latera ducti, & </
s
>
<
s
xml:id
="
echoid-s810
"
xml:space
="
preserve
">planorum ba-
<
lb
/>
ſibus æquidiſtantium, erunt lineæ, vellatera homologa fi-
<
lb
/>
gurarum ſimilium, quæ ex ſectione æquidiſtantium plano-
<
lb
/>
rum in cylindrico effecta in eodem producuntur.</
s
>
<
s
xml:id
="
echoid-s811
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s812
"
xml:space
="
preserve
">Sit cylindricus, ADM, cuius oppoſitæ baſes, ABC, TDF, ſe-
<
lb
/>
cetur autem plano vtcumque per latera ducto, quod in eo producat
<
lb
/>
parallelogrammum, BF, & </
s
>
<
s
xml:id
="
echoid-s813
"
xml:space
="
preserve
">alio vtcumque plano oppoſitis baſibus
<
lb
/>
æquidiſtante, quodin eo producat figuram, YNXO, & </
s
>
<
s
xml:id
="
echoid-s814
"
xml:space
="
preserve
">in paral-
<
lb
/>
lelogrammo, BF, rectam, NO. </
s
>
<
s
xml:id
="
echoid-s815
"
xml:space
="
preserve
">Dicorectas, DF, NO, BC, eſſe
<
lb
/>
lineas, vellatera homologa figurarum, TDF, YNO, ABC, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>