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
="
043/01/268.jpg
"
pagenum
="
89
"/>
liter excedent, hoc eſt reliquum cylindri IR dempto cylin
<
lb
/>
dro PO æquale erit reliquo cylindri GQ dempto cylin
<
lb
/>
dro NM, & reliquum cylindri GQ dempto cylindro
<
lb
/>
NM æquale cylindro EL. </
s
>
<
s
>Similiter ad reliquos cylindros
<
lb
/>
quotcumque plures eſſent deſcendentes oſtenderemus, om
<
lb
/>
nes exceſſus, quibus cylindri circumſcripti inſcriptos
<
lb
/>
ſuperant ſibi quique reſpondentes inter ſe & cylindro
<
lb
/>
EL æquales eſſe. </
s
>
<
s
>Manifeſtum eſt igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO V.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Dato conoide hyperbolico, & ipſius conoi
<
lb
/>
de parabolico circa eundem axim, quod ad
<
lb
/>
reliquum hyperbolici conoidis eam proportio
<
lb
/>
nem habeat, quam ſeſquialtera tranſuerſi late
<
lb
/>
ris hyperboles, quæ conoides deſcribit, ad axim
<
lb
/>
conoidis; fieri poteſt vt conoidi parabolico fi
<
lb
/>
guræ quædam inſcribatur, & altera circumſcri
<
lb
/>
bantur vt ſupra factum eſt, & hyperbolico alio cir
<
lb
/>
cumſcribatur omnes ex cylindris æqualium al
<
lb
/>
titudinum multitudine æqualibus exiſtentibus
<
lb
/>
ijs, ex quibus conſtant figuræ conoidibus cir
<
lb
/>
cumſcriptæ, ita vt exceſſus, quo figura conoidi
<
lb
/>
parabolico circumſcripta inſcriptam ſuperat,
<
lb
/>
quem breuitatis cauſa voco exceſſum primum,
<
lb
/>
ad exceſſum, quo figura conoidi hyperbolico cir
<
lb
/>
cumſcripta ſuperat circumſcriptam parabolico,
<
lb
/>
quem voco exceſſum ſecundum, minorem habeat
<
lb
/>
proportionem quacumque propoſita. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>