DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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86
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ex
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34.
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pri
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mi.
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5.
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post hu
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ius.
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4.
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huius.
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<
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s
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<
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type
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<
s
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">Cognito centro grauitatis cuiuſlibet parallelogrammi,
<
lb
/>
vult Archimedes oſtendere centrum grauitatis triangulorum.
<
lb
/>
& quoniam in hac poſtrema demonſtratione aſſumpſit cen
<
lb
/>
trum grauitatis trianguli ABD eſſe punctum E, videtur or
<
lb
/>
dinem peruertiſſe, & per ignotiora doctrinam tradidiſſe; cùm
<
lb
/>
non ſit adhuc oſtenſum, in quo ſitu dictum centrum in
<
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abbr
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triã-gulis
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gulis</
expan
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reperiatur. </
s
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<
s
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">quod tamen ſi rectè perpendamus, non ita ſe
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lb
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habet. </
s
>
<
s
id
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">Nam vis demonſtrationis eſt in hoc conſtituta, vt
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lb
/>
ſupponatur triangulum habere centrum grauitatis, idquè tan
<
lb
/>
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n
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<
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ùm eſſe intra ipsum triangulum, quod quidem ſupponi po
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lb
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teſt. </
s
>
<
s
id
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N13149
">cùm triangulum ſit figura ad eaſdem partes concaua. </
s
>
<
s
id
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">ne
<
lb
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〈que〉 enim refert, ſiuè centrum ſit in E, ſiuè in alio ſitu, dum
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modo intra triangulum exiſtat. </
s
>
<
s
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">demonſtratio enim
<
expan
abbr
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eodẽ
">eodem</
expan
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mo
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lb
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do ſemper concludet punctum H centrum eſſe grauitatis pa
<
lb
/>
rallelogrammi AC, quod idem obſeruandum eſt in
<
expan
abbr
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nõnullis
">nonnullis</
expan
>
<
lb
/>
alijs demonſtrationibus. </
s
>
<
s
id
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">vt in ſecunda demonſtratione deci
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lb
/>
mæ tertiæ, hui^{9} & in prima ſecundilibri. </
s
>
<
s
id
="
N13165
">Antequam
<
expan
abbr
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autẽ
">autem</
expan
>
Ar
<
lb
/>
chimedes centrum grauitatis triangulorum oſtendat, nonnul
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lb
/>
las pręmittit propoſitiones. </
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>
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9.
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emph
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post hu
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/>
ius.
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type
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</
s
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<
p
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type
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head
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<
s
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s
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type
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<
s
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">Si duo triangula inter ſe ſimilia fuerint, & in i
<
lb
/>
pſis ſint puncta ad triangula ſimiliter poſita & alre
<
lb
/>
rum punctum trianguli, in quo eſt, centrum fue
<
lb
/>
rit grauitatis, & alterum punctum trianguli, in
<
lb
/>
quo eſt, centrum grauitatis exiſtet. </
s
>
</
p
>
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chap
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</
archimedes
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