Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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ſit enim corpus oblongum AB vibratum circa centrum immobile A
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per arcum BC, ſitque pendulum pondus C fune CA, demiſſum, & vi
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bratum per arcum BC; </
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<
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">certè tardiùs funependulum hoc arcum BC per
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curret, quàm corpus oblongum, quod multis experimentis comprobatum
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eſt; </
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<
s
id
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">ratio eſt, quia in pondere funependulo ſolum pondus E cenſeri de
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bet cauſa motus; </
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<
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<
s
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exilis eſſe poteſt, vt vix quidquam addat póderis, pro nihilo computatur; </
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igitur totus motus eſt ab ipſo pondere pendulo; at verò in corpore ob
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longo AB, quod ſit v. g. parallelipedum, vel cylindricum, non tantùm eſt
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motus à puncto B, verùm etiam à punctis FE, &c. </
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<
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">cum enim punctum
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F, v. g. ſi ſeorſim ſumatur, percurrat arcum FG citiùs quàm punctum B
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ſeorſim arcum BC, certè punctum F, quaſi deorſum rapit punctum B igi
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tur totum corpus AB citiùs abſoluit ſuam vibrationem, quàm funepen
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dulum, quod erat probandum. </
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Theorema
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40.
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Vt ſuſtineatur corpus oblongum AB, faciliùs ſuſtinetur in B, quàm in P,
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& in F, quàm in E, & in E quàm in H,
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atque ita deinceps (ſuppono autem,
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quòd poſſit volui circa centrum A) ratio clara eſt ex vecte, de quo ſuo
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loco; immò licèt AB penderet tantùm vnam vnciam, poſſet aliquod
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aſſignari punctum iuxta A, in quo ab homine robuſtiſſimo ſuſtineri non
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poſſet in ſitu horizontali AB. </
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Theorema
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41.
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Si deſcendat cylindrus AB in AC circa centrum A, & occurrat in AC
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alteri corpori, ictum maximum infliget ex puncte F, ſi AF eſt media pro
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portionalis inter AE, AB, & habeatur tantum ratio impetus abſolutè ſumpti
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; </
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hoc fuit iucundiſſimum Theorema, quod in lib. 1. demonſtrauimus; </
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que hîc repeto; </
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<
s
id
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">vnum tantùm addo valdè paradoxon in punctum G eſſe
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maximum ictum, non tamen maximam vim, ſcilicet ad mouendum; </
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nam in D maior erit vis, quàm in G, & in I, quàm in D; erit tamen mi
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nor motus, ſeu minor impreſſio. </
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Theorema
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42.
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In maiori proportione deſtruitur impetus in aſcenſu vibrationis eiuſdem
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corporis oblongi, quam in aſcenſit vibrationis funependuli
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; </
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<
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">conſtat certè cla
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riſſimis experimentis; </
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<
s
id
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">ratio eſt, quia plures partes impetus innati reſi
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ſtunt; quippè impetus innatus funis tam paruus eſt, vt pro nullo ha
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beatur. </
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Theorema
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43.
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Hinc ſunt pauciores vibrationes corporis oblongi, quàm funependuli,
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cum
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ſinguli aſcenſus plùs impetus deſtruant in vibrationibus corporis ob
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longi, quàm funependuli: </
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<
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id
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">Hinc citiùs quieſcit corpus oblongum vibra
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tum, quàm funependulum; </
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<
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id
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tur; quod etiam multis experimentis comprobatur, & ratio patet ex
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dictis. </
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