Baliani, Giovanni Battista
,
De motu naturali gravium solidorum
,
1638
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<
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">PROPOSITIO XVIII. PROBL. X.
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<
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">Datis planis declinantibus ortis ab eodem puncto, re-
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perire in magis declinante punctum quo grave per-
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veniat eo tempore, quo pertransit planum minus
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declinans. </
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<
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id
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">Datum sit planum minus declinans AC, & magis A
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D, terminantia super plano orizontali BD.
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</
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<
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">Oportet in AD producta reperire punctum, quo perveniat
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grave eo tempore, quo pertransivit planum minus decli-
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nans AC.
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<
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id
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">Fiat ut AD ad AC ita AC ad dictam AD productam in
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E, quod est punctum quaesitum.
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<
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id
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">Quoniam ut AE ad AD ita est quadratum AC ad quadra-
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tum AD
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, sed AE ad AD est ut quadratum temporis
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AE, ad quadratum temporis AD
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, ergo ut quadratum
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AC ad quadratum AD, ita quadratum temporis AE ad
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quadratum temporis AD
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, unde AC ad AD ut tempus
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AE ad tempus AD
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, sed AC ad AD est ut tempus AC
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ad tempus AD
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, ergo tempora AE, AC sunt aequalia.
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<
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">Quod, &c.
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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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