Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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<
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">PROPOSITIO XVII. PROBL. IX.</
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">Dato plano declinante, super quo grave de
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scendat, & dato alio plano minus declinan
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te, in hoc reperire punctum, quo perveniat
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mobile eo tempore, quo pertransit dictum
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planum magis declinans.
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proof
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">Sint plana AB, AC quorum AC minus in
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clinatum.</
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">Oportet in AC reperire punctum, quo grave per
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veniat, quando pervenit in B.</
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">Fiat ut AC ad AB ita AB ad AD, & dico D
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esse punctum quaesitum.</
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<
s
id
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">Quoniam ut AC ad AD ita est quadratum AC
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ad quadratum AB
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, & ut AC ad AD ita
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quadratum temporis AC ad quadratum tem
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poris AD
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ergo ut quadratum AC ad qua
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dratum AB, ita quadratum temporis AC ad
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quadratum temporis AD Vnde AC ad AB
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ut tempus AC ad tempus AD
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, sed ut AC
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ad AB, ita tempus AC ad tempus AB
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, ergo
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tempora AB, AD, sunt aequalia. </
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<
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">Quod, etc.</
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Per 19. sexti.</
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Per cot. 7. huius.</
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Per 22. sexti.</
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Per 15. huius.</
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