Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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æquabilibus, & violento retardato ſint enim tres impetus ab eodem
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puncto E ſcilicet EF, ED, EA; </
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EF, violentus EB; denique ex mixto EG à naturali EF fit EC, quæ
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omnia ſunt clara. </
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Theorema
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86.
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Aſcendit mobile ad
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altitudinem hoc motu, ad quem aſcenderet
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ſine horizontali
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v. g. ſine horizontali aſcendit in B, cum horizontali
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aſcendit in C, ſed DC, & EB ſunt eiuſdem altitudinis. </
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Scholium.
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<
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">Obſeruabis, licèt iſte motus non fiat per lineam parabolicam, vt ſuprà
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demonſtrauimus Th. 54. & reliquis; quia tamen ſenſibiliter proximè
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accedit, deinceps vtemur Parabola vt in fig. </
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">Th. 83. & horizontalem
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motum accipiemus pro æquabili; </
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tantùm æquiualenter; </
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">dixi æquiualenter, quia eodem modo ſe habet hic
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motus, ac ſi per inclinatam ſurſum LC impetu ſcilicet LC mobile pro
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iiceretur; </
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">ſed in hoc caſu deſtrueretur impetus ille per inclinatam ſim
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plex; </
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<
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">igitur & mixtus; </
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<
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">quia tamen ille qui remanet partim ex LA, par
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tim ex LF eodem modo ferè ſe habet ac ſi totus LF intactus maneret;
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hinc dictum eſt ſuprà æquiualenter eſſe æquabilem. </
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Theorema
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87.
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Aſcendit hoc motu ad ſubduplam altitudinem illius, ad quam motu mixto
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tantum ex verticali & horizontali ſine naturali aſcenderet
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; quippe aſcende
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ret in C fig. </
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">Th.83. ſine impetu naturali, ſed FC & LA æquales ſunt; </
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atqui motu violento puro, niſi naturalis obeſſet, aſcenderet in A; </
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rò ſi obeſt naturalis; </
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">aſcendit tantùm motu violento in K, & mixto in
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in D; </
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">quia ex K in L motu naturali tot acquireret mobile gradus impe
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tus naturalis quot amittit in motu violento ab L in K; </
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<
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id
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">ſed cum in impe
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tu acquiſito à K in L motu æquabili aſcenderet ab L in A, quæ eſt dupla
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LK vt oſtendimus in ſecundo libro; </
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">ſed motu mixto, & verticali, & ho
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rizontali aſcenderet in C; </
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<
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">ſed FD eſt ſubdupla FE; igitur motu mixto
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aſcendit ad ſubduplam altitudinem, &c. </
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Theorema
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88.
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Mobile projectum è naui mobili, vbi ad ſummam altitudinem peruenit mo
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tu mixto ex verticali retardato, horizontali æquabili, & naturali item æqua
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bili, deſcendit etiam motu mixto ex horizontali retardato ſaltem æquiualenter,
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& naturali accelerato
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; </
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<
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id
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">dixi æquiualenter, quia vt dixi in Sch. Th.86. licèt
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remaneat aliquid impetus verticalis qui in communem lineam abit cum
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horizontali; </
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<
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id
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">res tamen perinde ſe habet atque ſi totus verticalis deſtrue
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retur, & totus horizontalis intactus permaneret; igitur deſcenſus fit mo
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tu mixto ex naturali accelerato & horizontali retardato per Th.30. quia
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tamen modico illo tempore parùm retardatur, vt ſuprà monui, ſenſibili
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ter accipi poteſt pro æquabili. </
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