Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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& ſecta BD bifariam in puncto H: deinde ſecundum G
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in ipſa BH, centrum grauitatis reliqui dempta portione ex
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ſolido KL, ſit portionis ABC in ipſa DH centrum gra
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uitatis F, per vim XXXVII ſecundi. </
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<
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>Dico eſſe HG ad GF,
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vt ſolidum rectangulum ex BD, DR, DE vnà cum binis
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tertiis duorum
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ex BE, ED, ad ſoli
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dum rectangulum ex
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BD, BE, ER. </
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liter enim vt ſupra de
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monſtrato eſſe vt HG
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ad GF, ita portionem
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ABC ad
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KL;
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quoniamportio ABC
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ad ſolidum KL eſt vt
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ſolidum ex BD, DR,
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DE, vnà cum binis ter
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tiis duorum
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ex
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BE, & ED, ad ſoli
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dum ex BD, BE, ER; erit vt modo dicta antecedens
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magnitudo ad dictam conſequentem, ita HG, ad GF.
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PROPOSITIO XXXVI.
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<
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>Omnis portionis ſphæræ, vel ſphæroidis ab
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ſciſſæ duobus planis parallelis centrum interci
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pientibus, & ab eo non æqualiter diſtantibus, cen
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trum grauitatis eſt in axe, primum bifariam ſecto:
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deinde ſecundum
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cẽtrum
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grauitatis reliqui dem
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pta portione ex cylindro, vel portione cylindrica,
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abſciſſo, vel abſciſſa vnà cum portione, à cylin-</
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