DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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id
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N10019
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pagenum
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uertitur. </
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<
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type
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head
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<
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">EIVSDEM ALIA DEFINITIO.</
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<
p
id
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N10557
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type
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main
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<
s
id
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N10559
">Centrum grauitatis vniuſcuiuſ〈que〉 ſolidæ figuræ eſt
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abbr
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punctũ
">punctum</
expan
>
<
lb
/>
illud intra poſitum, circa quod vndi〈que〉 partes ęqualium mo
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lb
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mentorum conſiſtunt. </
s
>
<
s
id
="
N10563
">ſi.
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expan
abbr
="
n.
">enim</
expan
>
per tale centrum ducatur
<
expan
abbr
="
planũ
">planum</
expan
>
fi
<
lb
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guram quomodo cun〈que〉 ſecans, ſemper in partes æ〈que〉ponde
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lb
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rantes ipſam diuidet. </
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</
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<
p
id
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type
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<
s
id
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N10573
">Hanc poſtremam definitionem, ſeu potiùs deſcriptionem
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tradidit Federicus Commandinus in libro de centro grauita
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tis ſolidorum. </
s
>
<
s
id
="
N10579
">ex quipus ſanè definitionibus eluceſcit natura,
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/>
<
arrow.to.target
n
="
fig2
"/>
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lb
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at〈que〉 facultas
<
expan
abbr
="
cẽtri
">centri</
expan
>
grauitatis.
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lb
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vt ſi punctum A fuerit
<
expan
abbr
="
centrũ
">centrum</
expan
>
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lb
/>
grauitatis corporis BC, tunc
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lb
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ex Pappi ſententia, ſi BC
<
expan
abbr
="
ſuſpẽ
">ſuſpem</
expan
>
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lb
/>
datur ex A, magnitudo BC
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lb
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eadem, qua reperitur, diſpo
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ſitione locata manebit; ne〈que〉
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partes ullas ipſius corporis, vt quę ſunt ad
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/>
<
arrow.to.target
n
="
fig3
"/>
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BC, circumuerti, ne〈que〉 omnino ſuum
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mutare ſitum depræhendetur. </
s
>
<
s
id
="
N105A5
">ſi verò vt
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<
expan
abbr
="
Cõmandino
">Commandino</
expan
>
placuit, A fuerit centrum
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lb
/>
grauitatis magnitudinis BCD, eadem
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lb
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què per punctum A vtcun〈que〉
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expan
abbr
="
ſecũdùm
">ſecundùm</
expan
>
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lb
/>
rectitudinem diuidatur, veluti per EAF.
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tunc pars EBF ipſi ECDF æ〈que〉ponde
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rabit, quamuis EBF, & ED ſint magni
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tudines inæquales. </
s
>
<
s
id
="
N105B8
">ſæpenumero enim e
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lb
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uenire ſolet, vt in diuiſione figuræ per eius centrum graui
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lb
/>
tatis ipſa aliquando in partes diuidatur æquales, ali
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lb
/>
quando in partes inæquales: vt ſuo loco
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arrow.to.target
n
="
marg5
"/>
<
lb
/>
ſemper tamen in partes diuiditur hinc inde æ〈que〉pon
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lb
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derantes; non tamen ſeorſum conſtitutas, ab inuicen
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què ſeiunctas, & veluti ad æquilibrium examinatas; vt pu
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ta ſi EBF decem pondo ponderet; ED quo〈que〉 totidem
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pependiſſe oporteat. </
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>
<
s
id
="
N105CD
">res quippe non ſic ſe habet, ſed cas eſſe
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in eo ſitu æ〈que〉ponderantes, in quo reperiuntur; vt neutra </
s
>
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</
text
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</
archimedes
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