Baliani, Giovanni Battista
,
De motu naturali gravium solidorum
,
1638
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<
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">PROPOSITIO XIII. PROBL. VI.
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">Reperire inclinationem plani, super quo grave movea-
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tur tali velocitate quae cum alia super diversa incli-
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natione sit in ratione data.
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">Moveatur grave A super recta AB, seu perpendicula-
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ri, seu inclinata, & data sit proportio C ad D.
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<
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">Oportet reperire aliud planum inclinatum, ita ut velocitas
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gravis moti super AB ad velocitatem alterius moti
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super illo reperiendo, sit ut D ad C.
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<
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">Producatur BA; & fiat ut C ad D ita BA, ad AE; &
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centro A, intervallo AE describatur circulus, secans BF
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in F; ni secet, problema insolubile est; si secat, ducatur
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AF, quam dico esse planum quaesitum.
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<
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id
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">Quoniam ut C ad D, ita AB ad AE, seu AF per constructio-
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nem, erit C velocitas super AF, & D super AB
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, unde velo-
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citates super ipsis sunt in ratione data. </
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Per 12.
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hujus.
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