Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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132
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adhibere priorem progreſſionem Galilei, & in hoc cardine tota verri
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tur, meo iudicio, propoſitæ quæſtionis difficultas. </
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Theorema
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128.
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Hinc creſcit reſistentia iuxta rationem crementi impetus
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; cum enim cre
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ſcant impetus in ratione velocitatum, vt conſtat, & creſcat reſiſtentia
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medij in eadem ratione per Theor. 127. creſcit etiam in ratione im
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petuum. </
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Theorema
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129.
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Hinc creſcit reſistentia medij in eadem ratione, in qua creſcunt vires mobi
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lis
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; demonſtr. </
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<
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">quia creſcunt vires, vt creſcit impetus; nam impetus eſt
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vis illa, quâ mobile ſuperat reſiſtentiam medij vt conſtat, ſed reſiſten
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tia creſcit vt impetus per Th. 128. igitur creſcit in ratione virium. </
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Theorema
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130.
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Si creſcit reſiſtentia in eadem ratione in qua creſcunt vires, non mutatur
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progreſſio effectuum.
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v.g. primo inſtanti impetus ſit vt 1.ſitque 1.ſpatium,
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in quo eſt reſiſtentia, vt 1. Secundo inſtanti ſit impetus vt 2. reſiſtentia in
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2. ſpatiis vt 2. haud dubiè ſi vno inſtanti vnus gradus impetus ſuperat
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reſiſtentiam vt 1. dum percurrit 1.ſpatium; </
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<
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inſtanti ſuperabunt reſiſtentiam vt 2. dum conficit mobile 2. ſpatia; at
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que ita deinceps. </
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Theorema
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132.
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Hinc certè concludo contra Galileum, & alios quoſdam motum grauium
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poſt aliquod ſpatium decurſum ex naturaliter accelerato non fieri æquabilem,
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quia in tantum fieret æquabilis in quantum tanta eſſet reſiſtentia, vt no
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uam accelerationem impediret; </
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<
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<
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ratione creſcit reſiſtentia, in qua creſcunt vires per Th. 129. igitur non
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mutatur progreſſio motuum per Th. 130. igitur nec acceleratio; </
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<
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">igitur
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motus naturalis ex accelerato non fit æquabilis: Equidem, vt iam ſuprà
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dictum eſt, in minori ſemper ratione creſcit velocitas, itémque ipſa reſi
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ſtentia quod in omni progreſſione arithmetica iuxta numeros 1.2.3.4.5. </
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Scholium.
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<
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">Obſeruabis remitti à nobis motum leuium ſurſum in 5. Tomum, in cu
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ius tertio libro agemus de graui, & leui; quia ideo corpus aſcendit, quia
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ab alio deſcendente truditur ſurſum. </
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