Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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æqualis ceſſionis, & reſiſtentiæ, acquiritur tantùm noua determinatio
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æqualis priori: </
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<
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">ſimiliter à termino nullius ceſſionis, & totius reſiſtentiæ
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ad terminum æqualis reſiſtentiæ, & ceſſionis, acquiritur tantùm æqualis
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ceſſio; </
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<
s
id
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">ſed qua proportione creſcit ceſſio, imminuitur reſiſtentia, & vi
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ciſsim; </
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<
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id
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">igitur cum æqualis ceſsio, & reſiſtentia ſint in communi medio; </
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tantùm enim eſt ab æquali reſiſtentia & æquali ceſsione ad totam ceſ
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ſionem, & nullam reſiſtentiam, quantùm eſt ab æquali reſiſtentia & ceſ
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ſione æquali ad totam reſiſtentiam, & nullam ceſsionem; </
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<
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">& cum à nulla
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reſiſtentia ad æqualem acquiritur noua determinatio æqualis priori; </
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tè ab æquali ad totam acquiretur
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determinationis nouæ; igi
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tur tunc erit dupla prioris, quod erat demonſtrandum. </
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<
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">Sextò, præterea globus A impactus ſine acceſsione noui impetus non
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poteſt velociùs moueri, quàm antè moueretur; </
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">ſed per reflexionem non
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acquirit maiorem impetum, vt conſtat; </
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<
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id
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">igitur velociùs, quàm antè non
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mouetur; </
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<
s
id
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">igitur ſi conſideretur globus A impactus; </
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<
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">ſi eſt æqualis reſi
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ſtentia, nullo modo mouetur; </
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<
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">ſi eſt maior reſiſtentia, ſed non tota; </
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<
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uetur quidem motu reflexo; </
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<
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">ſed inæquali priori, ſi adhuc maior moue
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tur etiam, ſed velociore motu, donec tandem in tota reſiſtentia toto
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priore motu moueatur per ſe, vt dicemus paulò pòſt; </
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<
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id
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">ſi verò ſit minor
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reſiſtentia ceſsione, mouetur quidem per eandem lineam, ſed tardiore
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motu, ſi adhuc minor mouetur quoque, ſed velociore motu, donec tan
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dem in nulla reſiſtentia ſit totus prior motus; </
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<
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">ſi verò conſideretur glo
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bus reflectens, ſi eſt æqualis reſiſtentia mouetur æquali motu; ſi maior
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minore; ſi tota nullo; </
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<
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id
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">ſi vero ſit minor reſiſtentia mouetur motu velo
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ciore, atque ita deinceps; ſi nulla quaſi infinito: </
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<
s
id
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">dico quaſi, quia ſi va
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cuum moueri poſſet per impoſsibile, certè cum non reſiſtat, infinitè ce
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deret; igitur infinito motu quaſi moueretur. </
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<
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">Septimò, vnde vides ab illo communi medio verſus vtrumque extre
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mum creſcere ſemper motum globi impacti; </
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">donec tandem in vtroque
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extremo æquali motu moueatur, quo iam priùs mouebatur in linea inci
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dentiæ; </
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<
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id
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">at verò globi reflectentis verſus extremum nullius ceſsionis im
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minui motum, donec tandem in illo extremo nullus ſit; </
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<
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">creſcere vero
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verſus aliud extremum, donec tandem in illo infinitus ſit, eo modo, quo
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diximus, id eſt infinita ceſsio, quam accipio ad inſtar motus infinitæ ve
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locitatis; quemadmodum accipi poteſt nulla ceſsio, ſeu tota reſiſtentia
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ad inſtar motus infinitæ tarditatis. </
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<
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id
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">Octauò, globus impactus imprimit ſemper æqualem impetum refle
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ctenti, qui pro diuerſa huius mole diuerſum modum præſtat; </
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<
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ctens æqualis eſt æqualem, ſi maior minorem, ſi minor maiorem; </
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idem impetus in paucioribus partibus facit maiorem motum, in totidem
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æqualem, in pluribus minorem, donec tandem ſi plures ſint partes ſub
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jecti quàm partes impetus, nullus ſit motus; igitur nullus impetus, vt
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conſtat ex his, quæ diximus lib.1. </
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<
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id
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">Nonò, hinc motus reflexus in perpendiculari minor eſt ea parte mo
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tus, quæ reflectenti imprimitur; </
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<
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">vel enim imprimitur motus æqualis, </
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