Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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COROLLARIVM.
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<
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>Ex omnibus demonſtrationibus eorum, quæ in
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hoc ſecundo libro propoſuimus, manifeſtum eſt
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omnium ſupra dictorum corporum centra grauita
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tis inuenire: quæ cum que enim in modum theore
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matis propoſuimus, eadem tanquam problema
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ta proponi, & ijſdem demonſtrationibus abſolui
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poſſunt. </
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>Idem dico de ijs, quæ in primo, & tertio ſequenti libro
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demonſtrauimus. </
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<
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>Porro autem multa lemmata inſtituto
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præcipuo neceſſaria, & alia addita inuentio ſatis iucun
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da centri grauitatis conoidis, & portionis conoidis parabo
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lici, & hyperbolici, & fruſti vtriuſque ne ſecundus hic liber
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nimis longus, & confuſus exiſteret, tertium requirebant.
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<
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>Quem quidem meorum ſtudiorum autumnalium fructum
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Anni à partu Virginis MDCIII. cum SS. </
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>Clementis
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Pont. Max. </
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>auctoritate, & Petri eius Nepotis Cardinalis
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ampliſſimi Aldobrandini iuſſu bene de me merentium Ma
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thematicam ſcientiam, & Philoſophiam ciuilem in almo
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Vrbis Gymnaſio profiterer, in eorum gratiam compoſui,
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qui me centra grauitatis portionum ſphæroidis imperfe
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cti operis crimine condemnandum omittere nolebant; cu
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ius prouinciæ iuuante Deo, & mira Mathematicæ ſtudio
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ſis ſatisfaciendi voluntate, multas difficultates ita ſupe
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raui, vt vno menſe Octobri plus præſtiterim, quam à me
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requiſiſſent. </
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<
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>ſiquidem quæ de ſphæræ portionibus in hoc
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libro proprijs eius figuræ rationibus, eadem in ſequen
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ti aliis communibus cuilibet portioni ſphæræ, & ſphæroi
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dis tum lati, tum oblongi abſciſſæ vno, vel duobus planis
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æque inter ſe diſtantibus, & vtcumque in figuram in cideu-</
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