Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Secundus primus motus orbis, quo ſcilicet primum in parietem illiſa eſt,
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Tertius motus orbus mixtus, quo ex pariete reſiſtit; </
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<
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motus orbis, quo mouetur poſt quàm à pauimento repercuſſa eſt, exem
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plum habes in pila rotata per planum horizontale, quæ obliquè in aduer
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ſum planum impingitur; </
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<
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">ſtatim enim obſeruas nouum motum orbis mix
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tum ex priori & nouo, in quo eſt quidem maxima difficultas; ſed de his
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motibus mixtis agemus infrà lib. 9. </
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Theorema
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76.
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Cum pila emittitur rotato ſurſum pilari reticulo ſaltus vt plurimùm fallit,
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ſecus verò ſi emittatur reticulo deorſum acto
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; </
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<
s
id
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">ratio eſt, quia in primo caſu
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motus orbis pilæ eſt contrarius motui centri, vt patet; inde fraus ſaltus,
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ſecus verò in ſecundo caſu. </
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Theorema
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77.
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Cum pila velociſſimè ita emittitur, vt linea incidentiæ faciat angulum acu
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tiſſimum cum pauimento, nullus ferè eſt ſaltus
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; </
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<
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">quia cum parùm valeat vis
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reflexiua ad angulum acutiſſimum; </
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<
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">quia prior determinatio ferè præua
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let, & remanet tota, non quidem intacta, ſed vix ſaucia; </
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<
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motus orbis, qui promouet motum centri, iuuat priorem determina
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tionem motus centri; igitur vel nullus, vel modicus, iſque celerrimus
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fit ſaltus. </
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Theorema
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78.
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Cum pila cadit obliqua linea in pauimentum non longo à pariete interuallo,
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in quem linea ſurſum inclinata poſt ſaltum ſtatim impingitur longè altiùs
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aſcendit pilæ ſaltus,
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ratio petitur à noua reflexione, quod facilè eſt. </
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Theorema
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79.
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Cum pila obliquè cadit in iuncturam parietis & pauimenti, non reflectitur,
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& tunc maximè fallit ſaltus
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; </
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<
s
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">ratio eſt, quia eſt duplex punctum conta
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ctus; </
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<
s
id
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">igitur determinationum nouarum conflictus; </
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<
s
id
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">quippè paries verſus
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pauimentum; </
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<
s
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">hoc verò verſus parietem repellit; igitur tantùm ſupereſt,
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vt in pauimento rotetur ſine ſaltu, quod accidit ad omnem angulum in
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cidentiæ obliquum, vt patet experientiâ, cuius ratio communis eſt. </
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Theorema
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80.
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Cum leniore affrictu pilæ funis perstringitur vel, vt aiunt, crispatur, ſaltus
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etiam ludentis manum frustratur
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; quia motus orbis mutatur in illo funis
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incuſſu, vt patet. </
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Theorema
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81.
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Denique, cum reticulo motus orbis is a intorquetur, vt vel circulo horizon
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tali, vel alteri inclinato ſit parallelus, ſaltus pilæ fallaciæ ſubeſt
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; </
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>
<
s
id
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">quippe à
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priori determinatione motus orbis tuebatur; </
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>
<
s
id
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">omitto inæqualitatem pa
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uimenti, quæ ſaltum pilæ ſæpiſſimè à ſua linea detorquet; ſed fortè ſatis
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luſum eſt. </
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