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
Table of Notes
<
1 - 8
[out of range]
>
[Note]
Page: 86
[Note]
Page: 87
[Note]
Page: 88
[Note]
Page: 88
[Note]
Page: 88
[Note]
Page: 89
[Note]
Page: 89
[Note]
Page: 89
[Note]
Page: 89
[Note]
Page: 90
[Note]
Page: 90
[Note]
Page: 90
[Note]
Page: 91
[Note]
Page: 91
[Note]
Page: 91
[Note]
Page: 91
[Note]
Page: 92
[Note]
Page: 92
[Note]
Page: 92
[Note]
Page: 92
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 93
[Note]
Page: 94
[Note]
Page: 94
<
1 - 8
[out of range]
>
page
|<
<
(255)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div608
"
type
="
section
"
level
="
1
"
n
="
353
">
<
p
>
<
s
xml:id
="
echoid-s6388
"
xml:space
="
preserve
">
<
pb
o
="
255
"
file
="
0275
"
n
="
275
"
rhead
="
LIBER III.
"/>
ergo omnia quadrata, AR, ad omnia quadrata ellipſis, BDMG,
<
lb
/>
cum rectangulis bis ſub eadem, & </
s
>
<
s
xml:id
="
echoid-s6389
"
xml:space
="
preserve
">ſub trilineis, BCG, GRM, erunt
<
lb
/>
vt, AR, ad ellipſim, BDMG. </
s
>
<
s
xml:id
="
echoid-s6390
"
xml:space
="
preserve
">Eodem modo, ſumpta pro regula,
<
lb
/>
CR, oſtendemus omnia quadrata, AR, ad omnia quadrata ellipſis,
<
lb
/>
BDMG, vna cum rectangulis bis ſub eadem, & </
s
>
<
s
xml:id
="
echoid-s6391
"
xml:space
="
preserve
">ſub trilineis, DAB,
<
lb
/>
CG, eſſe vt, AR, ad ellipſim, BDMG, quod oſtendere oportebat.</
s
>
<
s
xml:id
="
echoid-s6392
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div610
"
type
="
section
"
level
="
1
"
n
="
354
">
<
head
xml:id
="
echoid-head371
"
xml:space
="
preserve
">COROLLARIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s6393
"
xml:space
="
preserve
">_H_Inc babetur omnia quadrata, AR, regula, FR, ad omnia quadra@
<
lb
/>
ta ellipſis, BDGM, vna cum rectangulis bis ſub eadem, & </
s
>
<
s
xml:id
="
echoid-s6394
"
xml:space
="
preserve
">ſub
<
lb
/>
trilineis, BCG, GRM, eſſe vt omnia quadrata, AR, regula, CR, ad
<
lb
/>
omnia quadrata ellipſis, BDMG, vna cum rectangulis bis ſub eadem,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s6395
"
xml:space
="
preserve
">ſub trilineis, DAB, BCG; </
s
>
<
s
xml:id
="
echoid-s6396
"
xml:space
="
preserve
">vtraq; </
s
>
<
s
xml:id
="
echoid-s6397
"
xml:space
="
preserve
">enim oſtenſa ſunt eſſe, vt, AR,
<
lb
/>
ad ellipſim, BDMG.</
s
>
<
s
xml:id
="
echoid-s6398
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div611
"
type
="
section
"
level
="
1
"
n
="
355
">
<
head
xml:id
="
echoid-head372
"
xml:space
="
preserve
">THEOREMA XXXII. PROPOS. XXXIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s6399
"
xml:space
="
preserve
">ASſumpta antecedentis figura, dimiſſis lineis, EG, DV,
<
lb
/>
producantur ad eandem partem, AC, FR, in, TX,
<
lb
/>
ita vt, AT, ſit æqualis, FX, & </
s
>
<
s
xml:id
="
echoid-s6400
"
xml:space
="
preserve
">iungatur, TX, ergo ipſa, A
<
lb
/>
X, CX, erunt parallelogramma. </
s
>
<
s
xml:id
="
echoid-s6401
"
xml:space
="
preserve
">Dico igitur, omnia qua-
<
lb
/>
drata, AR, cum
<
unsure
/>
rectanguli
<
unsure
/>
s bis ſub, AR, RT, ad omnia
<
lb
/>
quadrata ellipſis, BDMG, cum rectangulis bis ſub eadem,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s6402
"
xml:space
="
preserve
">quadrilineo, BGMXT, eſſe vt, AR, ad ellipſim, BDM
<
lb
/>
G, regula, FX.</
s
>
<
s
xml:id
="
echoid-s6403
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6404
"
xml:space
="
preserve
">Omnia. </
s
>
<
s
xml:id
="
echoid-s6405
"
xml:space
="
preserve
">n. </
s
>
<
s
xml:id
="
echoid-s6406
"
xml:space
="
preserve
">quadrata, AR, ad rectangula bis ſub ellipſi, BDMG,
<
lb
/>
<
figure
xlink:label
="
fig-0275-01
"
xlink:href
="
fig-0275-01a
"
number
="
171
">
<
image
file
="
0275-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0275-01
"/>
</
figure
>
& </
s
>
<
s
xml:id
="
echoid-s6407
"
xml:space
="
preserve
">ſub trilineis, BCG, GRM, vna cum
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0275-01
"
xlink:href
="
note-0275-01a
"
xml:space
="
preserve
">Ex antec.</
note
>
omnibus quadrati
<
unsure
/>
s eiuldem ellipſis, BD
<
lb
/>
MG, ſunt vt, AR, ad ellipſim, BDM
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0275-02
"
xlink:href
="
note-0275-02a
"
xml:space
="
preserve
">Coroll. 1.
<
lb
/>
26. lib. @.</
note
>
G, item rectangula ſub, AR, RT, ad re-
<
lb
/>
ctangula ſub ellipſi, BDMG, & </
s
>
<
s
xml:id
="
echoid-s6408
"
xml:space
="
preserve
">ſub, R
<
lb
/>
T, ſunt vt, AR, ad ellipſim, BDMG,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s6409
"
xml:space
="
preserve
">eadem bis ſumpta ſunt pariter, vt, AR,
<
lb
/>
ad ellipſim, BDMG, ergo omnia qua-
<
lb
/>
drata, AR, cum rectangulis bis ſub, A
<
lb
/>
R, RT, ad omnia quadrata ellipſis, B
<
lb
/>
DMG, cum rectangulis bis ſub eadem, & </
s
>
<
s
xml:id
="
echoid-s6410
"
xml:space
="
preserve
">ſub trilineis, BCG,
<
lb
/>
GRM, & </
s
>
<
s
xml:id
="
echoid-s6411
"
xml:space
="
preserve
">cum rectangulis bis ſub eadem, & </
s
>
<
s
xml:id
="
echoid-s6412
"
xml:space
="
preserve
">ſub, RT, ideſt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>