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
="
043/01/201.jpg
"
pagenum
="
22
"/>
erit vt rectangulum LNO bis, vnà cum quadrato NO,
<
lb
/>
ad quadratum LM, ita reliquum cylindri, vel portionis
<
lb
/>
cylindricæ GF
<
expan
abbr
="
dẽ-pto
">den
<
lb
/>
pto</
expan
>
HP, ad cylin
<
lb
/>
drum, vel
<
expan
abbr
="
portionẽ
">portionem</
expan
>
<
lb
/>
cylindricam KQ:
<
lb
/>
ſed rectangulum L
<
lb
/>
NO bis vnà
<
expan
abbr
="
cũ
">cum</
expan
>
qua
<
lb
/>
drato NO æquale
<
lb
/>
eſt quadrato LM;
<
lb
/>
reliquum igitur cy
<
lb
/>
<
figure
id
="
id.043.01.201.1.jpg
"
xlink:href
="
043/01/201/1.jpg
"
number
="
148
"/>
<
lb
/>
lindri, vel portionis
<
lb
/>
cylindricæ GF,
<
expan
abbr
="
dẽ-pto
">den
<
lb
/>
pto</
expan
>
HP, æquale erit cylindro, vel portioni cylindricæ
<
expan
abbr
="
Kq.
">Kque</
expan
>
<
lb
/>
Quod erat demonſtrandum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Cylindri, vel portionis cylindricæ hemiſphæ
<
lb
/>
rio, vel hemiſphæroidi circumſcriptæ reliquum
<
lb
/>
dempto hemiſphærio, vel hemiſphæroide, æqua
<
lb
/>
le eſt cono, vel portioni conicæ eandem baſim he
<
lb
/>
miſphærio, vel hemiſphæroidi, & eandem altitu
<
lb
/>
dinem habenti. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Eſto hemiſphærio, vel hemiſphæroidi ABC, cu
<
lb
/>
ius axis BD, baſis circulus, vel ellipſis circa diametrum
<
lb
/>
ADC, circumſcriptus cylindrus, vel cylindrica portio
<
lb
/>
AE, circa communem ſcilicet axim BD. conus autem,
<
lb
/>
vel coni portio circa axim BD, baſim habens commu
<
lb
/>
nem ſolido ABC, intelligatur. </
s
>
<
s
>Dico reliquum ſolidi
<
lb
/>
AE, dempto hemiſphærio, vel hemiſphæroide ABC æ-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>