Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XXXVII.
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<
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>Omnis portionis conoidis parabolici centrum
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grauitatis eſt punctum illud, in quo axis ſic diui
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ditur, vt pars quæ ad verticem ſit eius, quæ ad ba
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ſim dupla. </
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PROPOSITIO XXXVIII.
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<
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>Omnis fruſti portionis conoidis parabolici cen
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trum grauitatis eſt punctum illud, in quo axis ſic
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diuiditur, vt pars minorem baſim attingens ſit ad
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reliquam, vt duplum maioris baſis vnà cum mino
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ri, ad duplum minoris, vnà cum maiori. </
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<
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>Harum proportionum vtriuſque non alia demonſtratio
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eſt ab ea, quam in ſecundo ſcripſimus de centro grauitatis
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conoidis parabolici, & eius fruſti: propterea quod omnis por
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tionis conoidis parabolici, ſicut & hyperbolici ſectio baſi
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parallela ellipſis eſt ſimilis baſi. </
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<
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>Ex corollario xv. </
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dibus, & ſphæroidibus Archimedis. </
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PROPOSITIO XXXIX.
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<
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>Omnis conoidis hyperbolici, vel portionis hy
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perbolici conoidis centrum grauitatis, eſt pun
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ctum illud, in quo duodecima pars axis ordine
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quarta ab ea, quæ baſim attingit, ſic diuiditur, vt
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pars propinquior baſi ſit ad reliquam vt ſeſquial</
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