Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tum ad
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eãdem
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lineam determinatam, deorſum, v.g. in mobili proiecto; </
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nec enim eſt motus purè naturalis, nec etiam violentus, vt conſtat; igi
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tur mixtus. </
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Hypotheſis
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1.
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Cum proiicitur corpus per lineam horizontalem, vel inclinatum ſurſum,
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vel deorſum mobile percurrit lineam curuam
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; quod etiam pueri ſciunt, qui
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diſco ludunt. </
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Hypotheſis
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2.
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Globus etiam plumbeus è ſummo malo malo mobilis nauis demiſſus per
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lineam perpendicularem deorſum minimè cadit, ſed per curuam inclinatam
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: </
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hæc hypotheſis mille ſaltem nititur experimentis; </
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ſit; nam propter quid ſit, demonſtrabo. </
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Hypotheſis
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3.
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Proiectum per horizontalem ſub finem motus minùs ferit quàm initio, imò
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& proiectum per inclinatam deorſum
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; </
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<
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nec in dubium reuocari poteſt. </
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Axioma
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1.
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Omnis impetus qui mobili ineſt dum ipſum mouetur, præſtat aliquid ad mo
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tum
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; </
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">vel enim retardat, vt impetus innatus retardat violentum, vt ſuprà
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diximus; vel ad motum vnà cum alio, vel ſolus concurrit. </
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<
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Axioma
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2.
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Ille impetus qui alium retardat, haud dubiè retardat tantùm pro rata
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;
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hoc etiam ſuprà demonſtrauimus, & qui deſtruitur, deſtruitur quoque
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pro rata, ne ſit fruſtrà qui deſtruitur. </
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Axioma
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3.
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Ille impetus qui cum alio ad
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motum concurrit, concurrit etiam pro
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rata
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; hoc etiam ſuprà demonſtratum eſt, eſt enim cauſa neceſſaria, igitur
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quantum poteſt concurrit, igitur pro rata ſuæ virtutis. </
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Axioma
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4.
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Licèt ſint plures impetus in eodem mobili, non ſunt tamen plures ſimul li
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neæ motus
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; ne mobile ſit ſimul in pluribus locis. </
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Poſtulatum
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1.
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Liceat aſſumere quamlibet coniugationem motuum,
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v. g. vel duorum æ
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quabilium, vel alterius æquabilis, & alterius retardati, vel alterius æqua
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bilis, & alterius accelerati, vel alterius retardati, & alterius accelera
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ti, &c. </
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Poſtulatum
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2.
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Illa linea vocetur curua quæ conſtat infinitis prope lateribus polygoni.
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Theorema
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1.
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Motus mixtus ex duobus æquabilibus æqualibus eſt rectus
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; ſit enim mo-</
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