Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 10. de
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æquitempo
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ranea natu
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rali veloci
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tate
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PROP. CCVII.
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Corpora homogenea commenſurabilem proportionem haben
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tia æquè velocitèr deſcendent ablatis omnibus impe
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dimentis.
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habeant quamcumque commenſurabilem pro
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portionem. </
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tura ablatis omnibus
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, hæc duo corpora æquali velo
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citate deſcendent, nempè eodem
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tempore T percurrent duo ſpatia
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D, & E inter ſe æqualia. </
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tur corpus C homogeneum ipſis
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A, & B, quod communis menſura
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ſit eorum; hoc verò tempore T deſcendat ſpatium F; &
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quia duorum corporum ſimiliarium A multiplex eſt
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ipſius C, ergo æquè velocia erunt, nempè ſpatia D, &
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F eodem tempore T exacta æqualia ſunt inter ſe. </
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dem ratione duo ſpatia E, & F tranſacta eodem tem
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pore T ab homogeneis corporibus B, & C
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multiplicẽ
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proportionem habentibus æqualia erunt inter ſę;
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vnde ſequitur quod duo ſpatia D, & E. excurſa
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tempore T ab homogeneis corporibus A, & B æqua
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lia ſint inter ſe, cùm æquentur vni tertio F. </
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tet propoſitum.
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