Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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poſitorum ex binis ſectionibus nempe circulis, quorum al
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ter ad conum KBL pertinet, alter ad conoides MBN, in
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eodem plano ſecante prædictorum inter ſe parallelorum
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exiſtentibus, minorem eſſe proportionem incipienti ab eo,
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quod eſt proximum vertici, primi ad ſecundum, quàm ſe
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cundi ad tertium, & ſecundi ad tertium, quàm tertij ad
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quartum, & ſic ſemper deinceps vſque ad maximum & vl
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timum compoſitum ex circulis MN, KL: & eandem di
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ctas ſectiones compoſitas ex coni, & conoidis parabolici
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ſectionibus inter ſe habere proportionem, quàm habent in
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ter ſe circuli ſectiones conoidis ABC, pro vt illis in
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ijſdem planis ſecantibus, & æqualia axis BD ſegmenta
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intercipientibus reſpondent: Igitur per trigeſimam ſecun
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dam huius, & ſequens eam Corollarium, conoides ABC,
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& compoſitum ex conoide MBN, & cono BKL, com
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mune habebunt in axe BD centrum grauitatis. </
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<
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>Sed H
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erat huius compoſiti centrum grauitatis; Igitur conoidis
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ABC centrum grauitatis erit idem H. </
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<
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ſtrandum erat. </
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COROLLARIV M.
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<
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>Eadem demonſtratione conſtat ſi prædicta tria
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ſolida ita vt diximus diſpoſita ſecentur plano ba
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ſibus parallelo; ſruſtum conoidis hyperbolici, &
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compoſitum ex fruſtis coni, & conoidis paraboli
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ci, commune habere in communi axe centrum
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grauitatis. </
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