Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Axioma XV.
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Contraria pugnant pro rata.
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</
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<
s
id
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N11DA4
"> Nec enim alia regula eſſe poteſt; </
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<
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id
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">ſic minor
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calor minùs deſtruit frigoris; minor impetus minùs deſtruit impetus
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contrarij (ſi contrarium habet) quæ omnia conſtant ex hypotheſibus. </
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Ratio eſt, quia plùs vel minùs contrarij deſtruere, multam habet ex
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tenſionem. </
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<
s
id
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">v.g. ſint duo contraria A & B, ſit A vt 20. ſit B vt 5. certè ſi
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B deſtruat A ſupra ratam, vel ſupra id, quod ſibi ex æquo reſpondet, id
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eſt ſupra 5. cur potius 6. quam 7. 8. &c. </
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<
s
id
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">Si infra, cur potius 4. quam 3.
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2. &c. </
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<
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">Igitur cum plures ſint termini tùm infra, tùm ſupra 5. cur potius
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vnus quàm alius? </
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<
s
id
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">atqui vnus tantùm ex æquo reſpondet, ſcilicet 5. ſed
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quod vnum eſt determinatum eſt, per Axioma 5. igitur pugnant pro
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rata. </
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<
s
id
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N11DD0
">Nec dicas A totum deſtrui à B, quòd eſt contra hypotheſim, nam
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modicum caloris non deſtruit totum frigus: </
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<
s
id
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">in impetu res eſt clariſſima;
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adde quod minor cauſa minùs agit per Ax. 13. num. </
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<
s
id
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">3. igitur minùs exi
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git; porrò cum dico vnum ab alio deſtrui, intelligo tantùm ex applica
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tione vnius ſequi deſtructionem alterius ſaltem ex parte. </
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<
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<
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">Obſeruabis hæc Axiomata ſaltem maiori ex parte eſſe metaph. </
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<
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id
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">quæ
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nos fusè in Theorematis metaph. </
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<
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id
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">explicabimus, & demonſtrabimus; </
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<
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id
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">ſed
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nobis hoc loco ſatis eſt, ſi parem cum phyſicis ſupponas habere cer
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titudinem, quod nemo negabit; conſtátque ex hypotheſibus, licèt ma
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iorem etiam habeant, de qua ſuo loco. </
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<
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">Obſeruabis prætereà nos diutiùs hæſiſſe in præmittendis huic libro
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Axiomatis, quod tamen in aliis libris non faciemus. </
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Postulatum,
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Liceat datum corpus impellere, proiicere, deorſum cadens excipere, motus
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durationem ſenſibilem, ſpatiumque ſenſibile, metiri, comparare, &c.
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Theorema
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1.
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Motus eſt aliquid realiter diſtinctum à mobili.
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<
s
id
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"> Demonſtratur; Motus
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eſt in mobili, in quo antè non erat per hypoth. </
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<
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">3. & deſinit eſſe in mobili,
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in quo antè erat per hypoth.4. igitur mobile eſt, & non eſt motus; </
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<
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">igi
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tur à motu ſeparatum; </
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<
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">igitur realiter diſtinctum per Ax. 2. præterea
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moueri, & non moueri ſunt prædicata contradictoria, vt conſtat; </
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<
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id
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">igi
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tur eidem ſimul ineſſe non poſſunt per Ax. 1. igitur cum eo non ſunt
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idem; </
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<
s
id
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">alioquin ſimul eſſent; </
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<
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id
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">igitur alterum illorum eſt diſtinctum à
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mobili; </
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<
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id
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">non quies, vt conſtat, quæ eſt tantùm negatio motus, ſeu per
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ſeuerantia in eodem loco; </
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<
s
id
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">igitur nullam dicit mutationem; at verò
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motus mutationem dicit, per Def. 1. hoc Theorema fusè demonſtrabo
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in Metaph. </
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Theorema
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2.
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Motus non poteſt dici propriè productus immediatè, vel effectus immedia
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tus cauſæ efficientis.
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<
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"> Demonſt. </
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<
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">Motus eſt mutatio, ſeu tranſitus ex loco
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in locum per Def. 1. ſed mutatio propriè non producitur; </
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<
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">quippè pro
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ductio tantùm terminatur ad ens; </
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<
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id
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">nihil enim niſi ens produci poteſt; </
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