Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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">In quolibet puncto motus reperire spatium,
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per quod mobile sit aptum duci sine ope
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gravitatis in dato tempore.</
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">Ducatur grave tempore ab a puncto B per
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spatium aequale rectae BD sine ope gravi
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tatis ut in praecedenti.</
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id
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">Oportet reperire in alio puncto ipsius motus, puta
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C, spatium aequale ei, per quod ducetur sine ope
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gravitatis eodem tempore ab.</
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id
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">Sit ac tempus, per quod ducitur grave naturali
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ter motum ab A in C, & fiat CE dupla ad AC, &
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secetur CE in F ea ratione, ut partes CF, FE
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sint partibus ab, bc proportionales
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.</
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Per 11. Quinti.</
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s
id
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">Dico CF spatium aequari illi, per quod ducetur
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grave digressum a C tempore ab.</
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<
s
id
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">Quonniam CF ad FE est ut ab ad bc per constructionem,
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erit ut CE ad CF ita ac ad ab
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, & permutando
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ut CE ad ac, ita CF ad ab
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at spatium aequa
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le CE perficitur tempore ac
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motu aequabili
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.</
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Per 4. huius.</
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Per 3. pr. huius.</
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Per 10. def. Quinti.</
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Per 5. huius.</
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<
s
id
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">Ergo spatium aequale CF conficitur tempore ab, quod etc.</
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<
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">Huic sequitur quod eodem tempore, puta ab,
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grave ducitur per BD, & per CF.</
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