Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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rium ad cylindrum KH, cum vt LG ad GB, ita ſit he
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miſphærium DBE ad cylindrum DH. vt igitur prima
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cum quinta ad ſecundam, ita tertia cum ſexta ad quartam;
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videlicet, vt tota LN ad BF, ita portio ABC ad cylin
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drum KH. </
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<
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PROPOSITIO XVII.
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>Omnis portio ſphæræ abſciſſa duobus planis
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parallelis centrum intercipientibus ad cylin
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drum, eiuſdem altitudinis, cuius baſis æqualis eſt
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circulo maximo, eam habet proportionem, quam
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ad axim portionis habet exceſſus, quo axis portio
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nis ſuperat tertiam partem compoſitæ ex duabus
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minoribus extremis, maioribus poſitis duobus
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axis ſegmentis, quæ fiunt à centro ſphæræ in ra
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tionibus, ſemidiametri ſphæræ ad prædicta ſeg
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menta. </
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<
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CD, ſphæræ, cu
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ius centrum G,
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abſciſsa duobus
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planis parallelis
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centrum G inter
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cipientibus, quod
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erit in axe portio
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nis, qui ſit HK.
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<
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factæ à prædictis planis ſint circuli, quorum diametri AD,
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BC, qui circuli erunt baſes oppoſitæ portionis. </
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per punctum G, portione ABCD plano ad axim erecto, </
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