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
="
043/01/065.jpg
"
pagenum
="
57
"/>
generali primi Archimedis de planis æquiponderantibus,
<
lb
/>
ſed illud idem propoſitum vna demonſtratione in planis,
<
lb
/>
altera præſenti in ſolidis demonſtrauerim. </
s
>
<
s
>Reſpondeo:
<
lb
/>
quia Propoſitio quarta primi Archimedis, ex qua quinta
<
lb
/>
neceſſario pendet, habet, ſi quis attendat, aliquas difficul
<
lb
/>
tates phyſicas, quæ mathematicis rationibus non facile
<
lb
/>
diſſoluantur: quæ cauſa igitur illum adduxit ad ſimile quid
<
lb
/>
<
expan
abbr
="
demonſtrandũ
">demonſtrandum</
expan
>
demonſtratione ad illas duas parabolas ap.
<
lb
/>
</
s
>
<
s
>plicata in ſecundo ſuo libro planorum æquiponderantium,
<
lb
/>
quaſi qui quartæ, ac quintæ illi generali non ſatis acquie
<
lb
/>
ſceret; eadem me compulit ad hoc propoſitum duabus de
<
lb
/>
monſtrationibus generalibus, altera de planis, altera de ſo
<
lb
/>
lidis grauibus ſecurius demonſtrandum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXVIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Quarumlibet trium magnitudinum eiuſdem
<
lb
/>
generis centra grauitatis cum centro magnitudi
<
lb
/>
nis ex ijs compoſitæ ſunt in eodem plano. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sint quælibet tres ma
<
lb
/>
gnitudines eiuſdem gene
<
lb
/>
ris A, B, C: quarum cen
<
lb
/>
tra grauitatis A, B, C. </
s
>
<
s
>Ex
<
lb
/>
ijs autem compoſitæ ſit
<
lb
/>
centrum grauitatis E. </
s
>
<
s
>Di
<
lb
/>
co quatuor puncta A, B,
<
lb
/>
C, E, eſſe in eodem pla
<
lb
/>
no. </
s
>
<
s
>Iungantur enim re
<
lb
/>
ctæ AB, BC, CA: & vt
<
lb
/>
eſt A, ad C, ita ſit CD,
<
lb
/>
ad DA, & BD, iungatur:
<
lb
/>
<
expan
abbr
="
punctũ
">punctum</
expan
>
igitur D, erit cen
<
lb
/>
<
figure
id
="
id.043.01.065.1.jpg
"
xlink:href
="
043/01/065/1.jpg
"
number
="
41
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>