Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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Fiat EH aequalis AC, et ab AG abla
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ta AH, residuo HG fiat aequalis EI.</
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">Quoniam AE est casus gravis A tempore ae per
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supp. & AE, AC sunt in dupl. ratione tem
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porum ae, ac per constr. </
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tempore ac
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, & proinde EH aequalis AC est
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casus tempore eg aequali ipsi ab si grave du
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ceretur per EH eadem prorsus virtute qua
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ductum fuit per AC
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.</
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Per 3. pr. huius.</
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Per axioma primum.</
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">Item quia AG, AE sunt in duplicata ratione tem
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porum ag, ae per constr., AG est casus tempo
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re ag
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, & proinde residuum EG est casus re
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sidui eg
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, dum tamen motus proveniat tam
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e gravitate quam a quolibet impetu superaddi
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to, at EH probatum est esse casum itidem, eg
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dum tamen grave ducatur ea solum virtute
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qua ductum fuit per AC
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, ig, residuum HG
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est spatium quod perficitur eodem tempore eg,
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a solo impetu acquisito in E
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, quod est aequa
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le EI per constr., unde EI est spatium quaesitum.</
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Per 3. primi huius.</
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Per 19. Quinti.</
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Per axioma primum.</
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Per axioma secundum.</
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">Sit deinde portio temporis eb disiuncta ab ae, puta
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gK, & sit rursus reperienda portio spatij EB
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per quod grave A ducatur vi solius impetus
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in E acquisiti in dicta portione temporis gk:
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reperto prius spatio EC respondenti tempori eg
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immediato ipsi ae modo quo supra dictum
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fuit; fiat ac tempus aequale tempori gK, & ut</
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