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
>
<
pb
xlink:href
="
043/01/142.jpg
"
pagenum
="
55
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIVM.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Manifeſtum eſt autem omnia proximis qua
<
lb
/>
tuor propoſitionibus
<
expan
abbr
="
oſtēſa
">oſtenſa</
expan
>
de figura circa axim,
<
lb
/>
vel diametrum in alteram partem deficienti, ea
<
lb
/>
dem ijſdem rationibus oſten ſa remanere de com
<
lb
/>
poſito ex duabus figuris circa communem axim
<
lb
/>
vel diametrum in alteram partem deficientibus,
<
lb
/>
tam per ſe conſiderato, quàm ad alteram figuram
<
lb
/>
circa eundem axim, vel diametrum cum prædi
<
lb
/>
cto compoſito, in alteram partem deficiens, ac ſi
<
lb
/>
eſſent duæ tantummodo dictæ figuræ, quales in
<
lb
/>
præcedenti proxima inter ſe comparauimus; ma
<
lb
/>
nente ſemper illa conditione, quàm de ſectioni
<
lb
/>
bus in vigeſima huius diximus. </
s
>
<
s
>Tantum aduer
<
lb
/>
tendum eſt, vt pro ſectionibus, dicamus compoſita
<
lb
/>
ex binis ſectionibus (quæ ſcilicet fiunt ab codem
<
lb
/>
plano, vel eadem recta linea) cum de prædicto com
<
lb
/>
poſito ſit ſermo: & in demonſtratione, procylin
<
lb
/>
dris, vel cylindri portionibus, vel parallelogram
<
lb
/>
mis, compoſita ex binis cylindris, vel cylindri por
<
lb
/>
tionibus, vel parallelogrammis(quæ ſcilicet ſunt
<
lb
/>
inter eadem plana parallela, vel lineas parallelas,
<
lb
/>
& circa eundem axim, vel diametrum totius vel
<
lb
/>
diametri, vel axis partem) ſicut & pro figura com
<
lb
/>
poſitum ex duabus dictis figuris: pro reſiduo, com
<
lb
/>
poſitum ex reſiduis. </
s
>
<
s
>Nam cum vtriuſque reſidui </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>