DelMonte, Guidubaldo
,
Mechanicorvm Liber
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vtriſq; AB ponderibus compoſitæ. </
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<
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">& CD libram ſuſtinens ho
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rizonti
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eſt perpendicularis, libra ergo AB in hoc ſitu manebit.
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moueatur autem libra AB ab hoc ſitu, putà in EF, deinde relinqua
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tur. </
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<
s
id
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">dico libram EF ex parte F moueri. </
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>
<
s
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">Quoniam igitur CD
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ipſi libræ ſemper eſt perpendicularis, dum libra erit in EF, erit
<
lb
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CD in CG ipſi EF perpendicularis. </
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<
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">& punctum G magnitudi
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nis ex EF compoſitæ centrum grauitatis erit; quod dum moue
<
lb
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tur, circuli circumferentiam deſcribet DGH, cuius ſemidiameter
<
lb
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CD, & centrum C. </
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<
s
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">Quoniam autem CG horizonti non eſt per
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pendicularis, magnitudo ex EF ponderibus compoſita in hoc ſi
<
lb
/>
tu minimè manebit; ſed ſecundùm eius grauitatis centrum G deor
<
lb
/>
ſum per circumferentiam GH mouebitur. </
s
>
<
s
id
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">libra ergo EF ex par
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lb
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te F deorſum mouebitur, quod demonſtrare oportebat. </
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4.
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Primi Archim. de æquep.
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1.
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Huius.
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<
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">PROPOSITIO IIII. </
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<
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">Libra horizonti æquidiſtans æqualia in ex
<
lb
/>
tremitatibus, æqualiterq; à centro in ipſa libra
<
lb
/>
collocato, diſtantia habens pondera; ſiue inde
<
lb
/>
moueatur, ſiue minus; vbicunq; relicta, manebit.
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<
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">Sit libra recta linea A
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lb
/>
B horizonti æquidiſtans,
<
lb
/>
cuius centrum C in ea
<
lb
/>
dem ſit linea AB; diſtan
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tia verò CA ſit diſtantiæ
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lb
/>
CB æqualis: ſintq; pon
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lb
/>
dera in AB æqualia, quo
<
lb
/>
rum centra grauitatis ſint
<
lb
/>
in
<
expan
abbr
="
puntis
">punctis</
expan
>
AB. </
s
>
<
s
id
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id.2.1.9.3.1.1.0.a
">Moueatur
<
lb
/>
libra, vt in DE, ibiquè
<
lb
/>
relinquatur. </
s
>
<
s
id
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id.2.1.9.3.1.2.0
">Dico primùm libram DE non moueri, in eoquè ſitu
<
lb
/>
manere. </
s
>
<
s
id
="
id.2.1.9.3.1.3.0
">Quoniam enim pondera AB ſunt æqualia; erit magni
<
lb
/>
tudinis ex vtroq; pondere, videlicet A, & B compoſitæ centrum
<
lb
/>
grauitatis C. quare idem punctum C, & centrum libræ, &
<
expan
abbr
="
centrũ
">centrum</
expan
>
<
lb
/>
grauitatis totius ponderis erit. </
s
>
<
s
id
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id.2.1.9.3.1.4.0
">Quoniam autem centrum libræ </
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>
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