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

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1
PROPOSITIO XIII. PROB. VI.
Reperire inclinationem plani, super quo
grave moveatur tali velocitate quae cum
alia super diversa inclinatione sit in ra­
tione data.14[Figure 14]
Moveatur grave A super recta AB, seu
perpendiculari, seu inclinata, & data sit
proportio C ad D.
Oportet reperire aliud planum inclinatum, ita
ut velocitas gravis moti super AB ad velo­
citatem alterius moti super illo reperiendo,
sit ut D ad C.
Producatur BA; & fiat ut C ad D ita BA, ad
AE; & centro A, intervallo AE describatur
circulus, secans BF in F; ni secet, problema
insolubile est; si secat, ducatur AF, quam di­
co esse planum quaesitum.
Quoniam ut C ad D, ita AB ad AE, seu AF
per constructionem, erit C velocitas super AF,
& D super AB, unde velocitates super ip­
sis sunt in ratione data.
Quod faciendum fuit.
Per 12. huius.

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