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
|<
<
(419)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div989
"
type
="
section
"
level
="
1
"
n
="
589
">
<
p
>
<
s
xml:id
="
echoid-s10933
"
xml:space
="
preserve
">
<
pb
o
="
419
"
file
="
0439
"
n
="
439
"
rhead
="
LIBER V.
"/>
tione eadem generant, nempè ex tenſo plano, FD, per axem, G
<
lb
/>
D, produci figuram, FH, compoſitam ex duobus parallelogram-
<
lb
/>
mis, FD, DM, & </
s
>
<
s
xml:id
="
echoid-s10934
"
xml:space
="
preserve
">figuram, CBDNH, compoſitam ex duabus hy-
<
lb
/>
perbolis, CBD, DNH; </
s
>
<
s
xml:id
="
echoid-s10935
"
xml:space
="
preserve
">patet ergo cylindrum, FH, ad ſolidum, C
<
lb
/>
BDNH, eſſe vt, FD, ad hyperbolam, CBD, & </
s
>
<
s
xml:id
="
echoid-s10936
"
xml:space
="
preserve
">ſic eſſe quodlibet
<
lb
/>
ſolidum ſimilare genitum ex, FD, ad ſibi ſimilare genitum ex hy-
<
lb
/>
perbola, CBD, iuxta communem regulam, CD.</
s
>
<
s
xml:id
="
echoid-s10937
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div991
"
type
="
section
"
level
="
1
"
n
="
590
">
<
head
xml:id
="
echoid-head615
"
xml:space
="
preserve
">COROLL. XVI. SECTIO PRIOR.</
head
>
<
p
>
<
s
xml:id
="
echoid-s10938
"
xml:space
="
preserve
">IN Prop. </
s
>
<
s
xml:id
="
echoid-s10939
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s10940
"
xml:space
="
preserve
">vt fiat exemplum, reuoluatur eius figura circa
<
lb
/>
axim, HM, vt ex, FM, fiat cylindrus, FQ, & </
s
>
<
s
xml:id
="
echoid-s10941
"
xml:space
="
preserve
">ex hyperbola, C
<
lb
/>
<
figure
xlink:label
="
fig-0439-01
"
xlink:href
="
fig-0439-01a
"
number
="
301
">
<
image
file
="
0439-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0439-01
"/>
</
figure
>
BD, ſolidum,
<
lb
/>
CBD, SOQ,
<
lb
/>
quod voce-
<
lb
/>
tur: </
s
>
<
s
xml:id
="
echoid-s10942
"
xml:space
="
preserve
">Semia-
<
lb
/>
nulus latus
<
lb
/>
hyperbolicus
<
lb
/>
patet ergo cy
<
lb
/>
lindrum, FQ,
<
lb
/>
ad ſemianulũ
<
lb
/>
latum hyper-
<
lb
/>
bolicum, CB
<
lb
/>
DSOQ, eſſe
<
lb
/>
vt, FD, ad
<
lb
/>
hyperbolam, CBD, & </
s
>
<
s
xml:id
="
echoid-s10943
"
xml:space
="
preserve
">ſic eſſe quodlibet ſolidum ſimilare genitum
<
lb
/>
ex, FD, ad ſibi ſimilare genitu@n ex hyperbola, CBD, iuxta com-
<
lb
/>
munem regulam, CD.</
s
>
<
s
xml:id
="
echoid-s10944
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div993
"
type
="
section
"
level
="
1
"
n
="
591
">
<
head
xml:id
="
echoid-head616
"
xml:space
="
preserve
">SECTIO POSTERIOR.</
head
>
<
p
>
<
s
xml:id
="
echoid-s10945
"
xml:space
="
preserve
">VNde habetur ex Corollario cylindrum, FH, in figura Co-
<
lb
/>
rollarij antecedentis ad ſemianulum ſtrictum hyperbolicu,
<
lb
/>
CBDNH, eſſe vt cylindrum, FQ, in ſigura huius Corollar jad
<
lb
/>
ſemianulum latum hyperbolicum, CBDSOQ, & </
s
>
<
s
xml:id
="
echoid-s10946
"
xml:space
="
preserve
">ſic ſolida ſimi-
<
lb
/>
laria, &</
s
>
<
s
xml:id
="
echoid-s10947
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s10948
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div994
"
type
="
section
"
level
="
1
"
n
="
592
">
<
head
xml:id
="
echoid-head617
"
xml:space
="
preserve
">COROLLARIVM XVII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s10949
"
xml:space
="
preserve
">IN Prop. </
s
>
<
s
xml:id
="
echoid-s10950
"
xml:space
="
preserve
">17. </
s
>
<
s
xml:id
="
echoid-s10951
"
xml:space
="
preserve
">ſi, ducta parallela axi, vel diametro hyperbolæ, B
<
lb
/>
E, ſit, GD, patet in ſigura Corollarij 15. </
s
>
<
s
xml:id
="
echoid-s10952
"
xml:space
="
preserve
">quam ra@onem </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>