Baliani, Giovanni Battista
,
De motu naturali gravium solidorum
,
1638
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<
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">PROPOSITIO XXVI.
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<
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">Si in circulo erecto, a puncto inferiori ducantur plana
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ad puncta peripheriae, & a dictis punctis descendant
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gravia super dicta plana eodem tempore quo a puncto su-
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premo descendit aliud grave perpendiculariter; perve-
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nient omnia eodem instanti ad dictum punctum inferius.
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">Sit circulus cuius diameter ABC erectus super plano
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orizontali, quod tangat in C, & a C ducantur plana C
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D, CE, & a punctis, E, D gravia descendant super dicta
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plana, nec non, & a puncto supremo A perpendiculariter.
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">Dico quod eodem tempore perveniunt in C.
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">A puncto A ducantur AF, AG paralellae ipsis CE, CD,
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& ducantur AF, FC.
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">Quoniam in triangulis AEC, AFC anguli alterni FAC,
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ACE sint aequales,
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, & anguli AFC, AEC sunt etiam
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aequales puta recti
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, & basis AC communis, Triangula
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sunt aequalia
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, & proinde AF est aequalis CE, quod idem
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probabitur de reliquis, ergo cum AF, CE, & reliquae
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sint paralellae, & aequales, gravia per CE, CD perve-
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nient in C eodem tempore, quo digressa ab A perveniunt
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ad puncta FG, sed haec eodem tempore quo perpendicularis
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pervenit in C
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, ergo etiam ea quae per CE, CD. </
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Per 29.
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primi.
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Per 30.
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Tertii.
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Per 26.
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primi.
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Per 25.
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hujus.
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