Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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COROLLARIV M.
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>Manifeſtum eſt autem ex demonſtratione thelo
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rematis, omnis reſidui ex cylindro datæ maiori
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ſphæræ portioni circumſcripto circa eundem
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axim portionis, cuius baſis ſit æqualis circulo ma
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ximo, centrum grauitatis eſſe in axe abſciſſa pri
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mum quarta parte ad verticem portionis termina
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ta ſegmenti axis portionis, quod centro ſphæræ,
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& vertice portionis, & quarta parte eius quod
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centro ſphæræ, & baſi portionis terminatur; ad
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baſim terminata in eo puncto, in quo ſegmentum
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axis portionis duabus prædictis ſectionibus fini
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tum ſic diuiditur, vt ſegmentum propinquius baſi
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ſit ad reliquum, vt cubus ſegmenti axis portionis
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centro ſphæræ, & vertice portionis terminati ad
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cubum reliqui quod baſim portionis tangit, ſi
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quidem cubi triplicatam inter ſe habent laterum
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proportionem, ſimul illud manifeſtum eſt, hoc
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idem eadem ratione poſſe demonſtrari de centro
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grauitatis reliqui ex cylindro dempta ſphæræ por
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tione abſciſſa duobus planis paralìelis centrum
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ſphæræ intercipientibus, ita vt axis portionis à
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centro ſphæræ in partes inæquales diuidatur, cu
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ius cylindri circumſcripti ſit idem axis, qui & por
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tionis, baſis autem æqualis circulo maximo. </
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<
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militer enim deſcriptis duobus conis rectangulis</
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