Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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1
PROPOSITIO XIII. PROBL. V.
Datis gravibus descendentibus per perpendi­
cularem, & declinantem reperire rationes im­
petus in punctis datis.46[Figure 46]
Descendat grave per AC perpendicularem ,
& AB declinantem, & dentur puncta B, C.
Reperire proportionem impe­
tus in B ad impetum in C.
Ducatur BD normalis ad AC, & fiat AE
media inter AC, AD, Dico impetum in C ad
impetum in B esse ut AE ad AD.
Per 6. huius.
Per 31. primi.
Quoniam impetus in C ad impetum in D est ut
AE ad AD, & impetus in D & B sunt aequa­
les, ergo impetus in C ad impetum in B est
ut AE ad AD, Quod etc.
Per 13. primi.
Per axioma primum.

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