Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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& certum in ea punctum E, talis partis AB, figuræ qua
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lem diximus centrum grauitatis eſse poſsit. </
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<
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>Dico pun
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ctum E, eſse figuræ AB, centrum grauitatis. </
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<
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>Si enim
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E, non eſt, erit aliud, eſto F: & iuncta EF producatur,
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& ſumatur in illa extra figuræ AB, terminum, quodlibet
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punctum G; & vt eſt FE, ad EG, ita ſit alia magnitudo
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K, ad figuram AB, &
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ex vi hypotheſis ſit pars
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quædam CD, figuræ
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AB, cuius centrum gra
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uitatis E, talis vt abla
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ta relinquat AC, minus
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magnitudine
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K.
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<
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> Mi
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nor igitur proportio erit
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AC, ad AB, quàm K,
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ad AB, hoc eſt quàm
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FE, ad EG; fiat vt
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AC, ad AB, ita EF,
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ad FGH: ſed F, eſt cen
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trum grauitatis totius
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AB, & E, vnius par
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tis CD; reliquæ igitur
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partis AC, centrum grauitatis erit H, vltra punctum G: ſed
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G, cadit extra terminum figuræ AC; multo igitur magis H:
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Quod eſt abſurdum. </
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<
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>Non igitur aliud punctum à puncto
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E; punctum igitur E, figuræ AB, erit centrum grauitatis
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Quod demonſtrandum erat. </
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