Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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79
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<
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>Et hic huius tertij Libri finis eſſet; niſi ſecundo iam im
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preſſo, alia quædam via magis naturalis me ad conoidis hy
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perbolici centrum grauitatis reduxiſſet. </
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<
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>Ea igitur in ſecun
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dum librum aliàs inſerenda, nunc in ſequenti appendice
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ſeptem propoſitionibus expoſita, per ſectionem prædicti
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conoidis in conoides parabolicum eodem vertice, & circa
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eundem axim, & reliquam figuram ſolidam, abſque com
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poſito ex duabus figuris circumſcriptis, quæ ex cylindris
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componuntur, propoſitum concludat. </
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>APPENDIX.</
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PROPOSITIO I.
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>Si ſint octo magnitudines quaternæ
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totæ, & ablatæ proportionales, fue
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rint autem, & primarum vtriuſque
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ordinis ablatæ ad reliquas propor
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tionales; erunt vtriuſque ordinis re
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liquæ proportionales. </
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<
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>Sint octo magnitudines quaternæ
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proportionales, ac primi quidem ordi
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nis totæ, vt AB ad CD, ita EF ad
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GH: ſecundi autem ordinis ablatæ, vt
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B ad D, ita F ad H: ſit autem vt B
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ad A ita F ad E. </
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<
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>Dico & reliquas
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eſſe proportionales, videlicet vt A ad
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C, ita E ad G. </
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<
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>Quoniam enim com
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ponendo, & conuertendo eſt vt A ad
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AB, ita E ad EF: ſed vt AB ad </
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