Valerio, Luca
,
De centro gravitatis solidorvm libri tres
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/206.jpg
"
pagenum
="
27
"/>
Quoniam enim vt ſupra oſtendimus, reliquum ſolidi AE,
<
lb
/>
dempto ſolido ABC æquale eſse ſolido XDE, ſimili
<
lb
/>
ter oſtenſum remanet, tam reliquum ſolidi AN, dempto
<
lb
/>
ſolido AHLC, æquale eſse ſolido GDM, quam reli
<
lb
/>
quum ſolidi AV dempto ſolido APTC æquale ſolido
<
lb
/>
QDS; erit demptis æqualibus, tam reliquum ſolidi FE,
<
lb
/>
dempto ſolido HBL, æquale ſolido XGME; quam
<
lb
/>
reliquum ſolidi ON, dempto ſolido PHLT æquale ſo
<
lb
/>
lido GQSM. </
s
>
<
s
>At reliquum ſolidi AV dempto ſoli
<
lb
/>
do APTC ſolido QDS æquale erit. </
s
>
<
s
>Manifeſtum eſt
<
lb
/>
igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XV.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Hemiſphærium, vel hemiſphæroides ſubſeſqui
<
lb
/>
alterum eſt cylindri; vel portionis cylindricæ ipſi
<
lb
/>
circumſcriptæ. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Eſto hemiſphærium, vel hemiſphæroides ABC,
<
lb
/>
ipſique circumſcriptus cylindrus, vel portio cylindri
<
lb
/>
ca AE, circa eundem ſcilicet axem BD, & ſuper can
<
lb
/>
dem baſim circulum,
<
lb
/>
vel ellipſim, circa AC:
<
lb
/>
nam hac ratione baſis
<
lb
/>
oppoſita ſolidum ABC
<
lb
/>
tanget ad verticem B.
<
lb
/>
</
s
>
<
s
>Dico
<
expan
abbr
="
hemiſphæriũ
">hemiſphærium</
expan
>
, vel
<
lb
/>
hemiſphæroides ABC
<
lb
/>
eſse cylindri, vel portio
<
lb
/>
nis cylindricæ AE ſub
<
lb
/>
<
figure
id
="
id.043.01.206.1.jpg
"
xlink:href
="
043/01/206/1.jpg
"
number
="
152
"/>
<
lb
/>
ſeſquialterum. </
s
>
<
s
>Nam
<
lb
/>
circa axem BD, ſuper prædictam baſem circa AC, eſto
<
lb
/>
deſcriptus conus, vel coni portio ABC. </
s
>
<
s
>Quoniam igitur </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>