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

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At AB est aequalis ipsi BE per constructionem.

Ergo motus per BD fit diuturnitate AB. Quod
etc.

Corollarium I.

Hinc sequitur, quod in quolibet puncto infra
B est par impetus, fuerit ne motus per C
D aut per ABD, cum fuerit par impetus in B.

Per 12. secundi huius.

Corollarium II.

Quotiescunque CE est media inter CB, CD,
etiamsi motus praecedens fuerit per AB;
BE est diuturnitas motus per BD.

Corollarium III.

Idem sequitur etiamsi AB noni esset perpendicu
laris, nam probatur eodem pacto.

Corollarium IV.

Sequitur etiam, quod si datis AB, & CB,
fiat AB lineae aequalis BE, & ad CB, CE
fiat tertia CD; mobile cadens aC, seu ab A,
movebitur super BD aequali tempore quo per AB.

Et notandum pr. quod BD semper excedit du
plum ipsius AB, quia excedit duplum rectae BE.

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