Ceva, Giovanni
,
Geometria motus
,
1692
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Illud quoque hac occaſione aperiendum eſt, graue naturali
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ter deſcendens eò concitatiùs ferri, quoad potentia reſiſtentis
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aeris (validior namque iſta fit, vbi mobilis caſus eſt celerior)
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vi grauitatis mobili inhærenti exaquatur, tunc enim cauſą
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vlterioris accelerationis adempta eſt, conſumiturque in lucta
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tione aeris contranitentis: quare tunc grane progrederetur
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æquabili motu, id quòd citiùs euenire deberet ſi grane intrą
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aquam deſcendat.
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PROP. II. THEOR. II.
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">SI in eadem recta duos motus ſibi contrarios, ſimplices,
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ac eodem tempore peractos intelligamus, mobile di
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ferentiam illorum ſpatiorum, ſi vtroque motu eſſet affe
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ctum, percurreret.
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Tab.
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4.
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Fig.
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2.</
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">Curratur à puncto L ſpatium LO imagine velocitatum
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ABFG, & codem tempore curratur etiam recta OM ex
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puncto altero O, ſcilicet contrario motu, & iuxta
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AHIG prædictę homogeneam. </
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ex
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vtriſque motu, & tempore ipſo AG curſurum differentiam
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LM dictorum ſpatiorum LO, OM. </
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">Primùm intra parallelas AB, GF non ſe ſecent lineæ
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BF, HI, & ducatur quælibet DC æquidiſtans AB, vel GF,
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quæ fecet HI in E. </
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">Manifeſtum eſt, mobile, compoſito
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motu feratur habere duplicem velocitatem, vnam AB al
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teram illi oppoſitam AH, ob idque moueri verſus O ſolą
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velocitate HB differentia dictarum interſe pugnantium
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velocitatum: pariter momento D feretur mobile veloci
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tate EC differentia duarum DE, DC, & inſtanti G habebit
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differentialem IF; ex quo ſequitur figuram BHEIFCB, dif
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ferentiam imaginum ABFG, HAGI, aptatam tempori AC
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imaginem eſſe velocitatum compoſiti motus. </
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ſito habebit LM ad LO eandem rationem, ac BHIF ad
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ABFG; Propterea LM, quæ eſt differentia ſpatiorum LO, </
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