Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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trum grauitatis erit N, reliqui autem eius dempta
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ABC portione centrum grauitatis M commune fruſto
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KLFH, vt colligitur ex demonſtratione antecedentis.
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>Quoniam igitur eſt vt exceſsus, quo tripla ipſius BD ſu
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perat tres BD, DG, P tanquam vnam, ad ipſius BD
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triplam, hoc eſt vt NM ad MO, ita portio ABC ad
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EF cylindrum, & diuidendo vt MN ad NO, ita por
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tio ABC ad reliquum cylindri EF; & N eſt cylindri
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EF, & M prædicti reſidui centrum grauitatis; erit reli
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quæ portionis ABC centrum grauitatis O. </
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>Quod de
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monſtrandum erat. </
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PROPOSITIO XXXV.
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<
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>Omnis portionis ſphæræ abſciſſæ duobus pla
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nis parallelis, altero per centrum acto, centrum
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grauitatis eſt in axe primum bifariam ſecto: dein
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de ſumpta ad minorem baſim quarta parte axis
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portionis; in eo puncto, in quo dimidius axis mi
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norem baſim attingens ſic diuiditur, vt pars dua
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bus prædictis ſectionibus intercepta ſit ad eam, </
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