Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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">PROPOSITIO XIII. PROBL. V.</
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">Datis gravibus descendentibus per perpendi
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cularem, & declinantem reperire rationes im
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petus in punctis datis.
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13
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s
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">Descendat grave per AC perpendicularem ,
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& AB declinantem, & dentur puncta B, C.</
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">Reperire proportionem impe
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tus in B ad impetum in C.</
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">Ducatur BD normalis ad AC
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, & fiat AE
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media inter AC, AD
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, Dico impetum in C ad
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impetum in B esse ut AE ad AD.</
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Per 6. huius.</
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Per 31. primi.</
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s
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">Quoniam impetus in C ad impetum in D est ut
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AE ad AD
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, & impetus in D & B sunt aequa
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les
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, ergo impetus in C ad impetum in B est
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ut AE ad AD, Quod etc.</
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Per 13. primi.</
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Per axioma primum.</
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