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

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PROPOSITIO III

Ducto gravi super plano inclinato, & in
de perpendiculariter; perquirere eius mo
tum in pari diuturnitate.

50[Figure 50]

Ducatur grave super AB incli
nationis notae, diuturnitate AB
data, & inde perpendiculariter, per
BD; venari motum perpendicularem
in diuturnitate AB.

Producatur DB, donec concurrat cum AC
orizontaliter ducta in C, et sit BC
diuturnitas motus per BC. Fiat
BE aequalis AB, & CD tertia ad CB, CE.

Per 15. pr. huius.

Per 11. sexti.

Dico BD esse quaesitum.

Quoniam CE est diuturnitas CD, erit BE
diuturnitas BD, si motus præcedens fuerit per
CB; at pariter si per AB. Ergo diuturni
tate AB aequali BE pervenit in D. Quod etc.

Per 7. pr. huius.

Per pr. huius.

Corollarium

Hinc sequitur ut in praecedenti, quod impetus
infra B idem est, fuerit ne motus praecedens
per CD, ac per ABD.

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