Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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mixto
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; probatur, quia duplex impetus concurrit ad illum motum, ſcilicet
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naturalis deorſum, & horizontalis impreſſus à naui, vt conſtat ex defini
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tione 1.hyp.2. & Ax.1. </
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Theorema
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77.
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Ille motus eſt mixtus ex naturali accelerato, & violento per horizontalem
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retardato
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; quod eodem modo probatur, quo ſuprà probatum eſt in mobi
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li proiecto per horizontalem Th.30. eſt enim prorſus eadem, cum à na
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ui reuera imprimatur impetus iis omnibus, quæ motu nauis fe
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runtur. </
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Theorema
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78.
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Hinc reiicio omnes alias combinationes recepta ſexta; </
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ipſam ex parte
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; nec enim naturalis acceleratur in hoc motu in ea
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proportione, in qua acceleratur per lineam perpendicularem deor
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ſum per Th. 29.ſed iuxta rationem planorum inclinatorum per Theo
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rema 31. nec etiam violentus deſtruitur vniformiter, ſed pro rata per
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Th. 39. </
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Theorema
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79.
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Hinc initio plùs detrahitur violenti, & minùs additur naturalis, in
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fine plùs additur naturalis & minùs detrahitur violenti
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; hinc minor eſt
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ictus in fine niſi malus nauis ad eam altitudinem aſcenderet, ad quam
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profectò nullus aſcendit, quæ omnia conſtant per Theorema 34.
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35. 36. </
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Theorema
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80.
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Hinc ratio curuitatis huius lineæ, vel hypotheſis ſecundæ
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; </
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eſt Parabola vt volunt aliqui; </
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">hinc non eo tempore deſcendit in nauim
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prædictus globus, quo deſcenderet per ipſam perpendicularem motu
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purè naturali ex eadem altitudine, ſed maiore tempore; quia motu mix
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to non acceleratur iuxta proportionem motus naturalis puri per Th.
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77. quod confirmatur illis omnibus experimentis, quæ ſuprà adduxi
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Th. 46. </
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Theorema
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81.
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Hinc ſi nauis moueretur eadem velocitate, qua funis arcus cum re
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dit, eſſetque aptata ſagitta, & directa horizontaliter in naui; </
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<
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dubiè ſi poſt aliquod tempus ſtaret illicò immota nauis: </
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gita, non minore certè vi quàm ab ipſo arcu
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; </
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nauis appellitur ad littus, ſi ſtatim ſubſiſtat; </
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naui ſuccutiuntur &
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cadunt incauti in partem aduerſam propter </
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