Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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s.000293
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medis. </
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<
s
id
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s.000294
">ergo punctum
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lang
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grc
">ν</
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extra priſma af poſitum,
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expan
abbr
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centrũ
">centrum</
expan
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<
lb
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erit magnitudinis
<
expan
abbr
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cõpoſitæ
">compoſitæ</
expan
>
ex omnibus priſmatibus gzr,
<
lb
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r
<
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">β</
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t, t
<
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grc
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x, x
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grc
">δ</
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k, k
<
foreign
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grc
">δ</
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y, yu, us, s
<
foreign
lang
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grc
">α</
foreign
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h, quod fieri nullo modo po
<
lb
/>
teſt. </
s
>
<
s
id
="
s.000295
">eſt enim ex diffinitione centrum grauitatis ſolidæ figu
<
lb
/>
ræ intra ipſam poſitum, non extra. </
s
>
<
s
id
="
s.000296
">quare relinquitur, ut
<
expan
abbr
="
cẽtrum
">cen
<
lb
/>
trum</
expan
>
grauitatis priſmatis ſit in linea Km. </
s
>
<
s
id
="
s.000297
">Rurſus bc bifa
<
lb
/>
riam in diuidatur: & ducta a
<
foreign
lang
="
grc
">χ,</
foreign
>
per ipſam, & per lineam
<
lb
/>
agd planum ducatur; quod priſma ſecet:
<
expan
abbr
="
faciatq;
">faciatque</
expan
>
in paral
<
lb
/>
lelogrammo bf ſectionem
<
foreign
lang
="
grc
">χ π</
foreign
>
diuidet punctum
<
foreign
lang
="
grc
">π</
foreign
>
lineam
<
lb
/>
quoque cf bifariam: & erit plani eius, & trianguli ghK
<
lb
/>
communis ſectio gu; quòd
<
expan
abbr
="
pũctum
">punctum</
expan
>
u in medio lineæ hK
<
lb
/>
<
figure
id
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id.023.01.032.1.jpg
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xlink:href
="
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number
="
23
"/>
<
lb
/>
poſitum ſit. </
s
>
<
s
id
="
s.000298
">Similiter demonſtrabimus centrum grauita
<
lb
/>
tis priſmatis in ipſa gu ineſſe. </
s
>
<
s
id
="
s.000299
">ſit autem planorum cfnl,
<
lb
/>
ad
<
foreign
lang
="
grc
">πχ</
foreign
>
communis ſectio linea
<
foreign
lang
="
grc
">ρστ;</
foreign
>
quæ quidem priſmatis
<
lb
/>
axis erit, cum tranſeat per centra grauitatis triangulorum
<
lb
/>
abc, ghk def, ex quartadecima eiuſdem. </
s
>
<
s
id
="
s.000300
">ergo centrum
<
lb
/>
grauitatis priſmatis af eſt punctum
<
foreign
lang
="
grc
">ς,</
foreign
>
centrum ſcilicet </
s
>
</
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</
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