Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ipſarum AC, CB, & quadratis ex AC CB, æqualia ſi
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mul ei, quod ter fit ex AB, BC, CA, hoc eſt ei, quod
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partibus AC CB, & totius AB tripla continetur: additis
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igitur communibus duobus cubis ex AC, CB, erit id, quod
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ſit ex AC CB, & tripla ipſius AB, & duo cubi ex AC
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CB, æqualia duobus ſolidis, quæ fiunt reciproce ex triplis
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ipſarum AC, CB, & earundem AC, CB, quadratis, &
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duobus cubis ex AC, CB, hoc eſt cubo ex AC. </
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tur recta linea vtcumque ſecta fuerit, &c. </
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>Quod demon
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ſtrandum erat. </
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PROPOSITIO XII.
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>Hemiſphærium duplum eſt coni, cylindri au
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tem ſubſeſquialterum eandem ipſi baſim, & ean
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dem altitudinem habentium. </
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<
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>Eſto hemiſphærium; cuius axis BD, baſis circulus, cu
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ius diameter AC, ſuper quem cylindrus AE, & conus
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ABC, quorum communis axis ſit BD, ac propterea
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etiam eadem altitudo. </
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>Dico hemiſphærium ABC, co
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ni ABC eſse duplum: cylindri autem AE
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<
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>ſuper baſim enim circulum RE, vertice D deſcribatur </
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