Baliani, Giovanni Battista
,
De motu naturali gravium solidorum
,
1638
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<
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">PROPOSITIO XVII. PROBL. IX.
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">Dato plano declinante, super quo grave descendat, &
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dato alio plano minus declinante, in hoc reperire
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punctum, quo perveniat mobile eo tempore, quo
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pertransit dictum planum magis declinans.
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<
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">Sint plana AB, AC quorum AC minus inclinatum.
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</
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<
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id
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">Oportet in AC reperire punctum, quo grave perveniat,
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quando pervenit in B.
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<
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id
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">Fiat ut AC ad AB ita AB ad AD, & dico D esse punctum
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quaesitum. </
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<
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id
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">Quoniam ut AC ad AD ita est quadratum AC ad quadra-
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tum AB
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, & ut AC ad AD ita quadratum temporis
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AC ad quadratum temporis AD
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, ergo ut quadratum A
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C ad quadratum AB, ita quadratum temporis AC ad
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quadratum temporis AD
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, Unde AC ad AB ut tempus
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AC ad tempus AD
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, sed ut AC ad AB, ita tempus A
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C ad tempus AB
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, ergo tempora AB, AD, sunt aequa-
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lia. </
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<
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Per 19.
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sexti.
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Per cor.
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7. hujus.
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Per 11.
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Quinti.
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Per 22.
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sexti.
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<
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Per 11.
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hujus.
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