Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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15.
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Puncta diuerſorum circulorum mouentur inæquali motu
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; </
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<
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bus æqualibus inæquales percurrunt arcus; </
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<
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N21944
">igitur inæquali motu per
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Axio. 1. v.g. puncta L & C quæ diſtant æqualiter à centro K, mouentur
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æquali motu, quia æquali tempore conficiunt æquales arcus CS, LT; at
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verò puncta CQ inæquali motu mouentur, quia æquali tempore arcus
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inæquales percurrunt, ſcilicet CS, QX. </
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Theorema
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16.
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Hinc puncta, quæ accedunt propiùs ad centrum mouentur tardiùs, quæ lon
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giùs recedunt, mouentur velociùs.
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v.g. C velociùs, quia conficit arcum ma
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iorem; </
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<
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N21973
">CSQ tardiùs, quia æquali tempore conficit arcum minorem
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QR ſunt autem arcus ſimiles, vt radij, id eſt QR eſt ad CS, vt radius
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KQ ad QC, ſed motus ſunt vt arcus; igitur motus, vt radij, vel diſtantiæ
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à centro communi. </
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Theorema
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17.
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Ex his constat impetum, qui præstat motum circularem distribui in mobili
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vniformiter, id eſt æqualem in eodem circulo, vel in distantia æquali, & dif
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formiter, id eſt inæqualem in diuerſis circulis, vel in diuerſa distantia
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; </
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<
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">quia
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ex inæqualitate motus cognoſci tantùm poteſt inæqualitas impetus; </
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<
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id
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N219A0
">fit
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autem hæc diffuſio, ſeu propagatio in ratione longitudinum v. g. impe
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tus in Q eſt ad impetum in C, vt longitudo KQ ad KC, vt conſtat ex
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dictis; </
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<
s
id
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N219AE
">accipio autem omnes partes impetus, quæ ſunt in Q, & compa
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ro omnes illas cum omnibus illis, quæ inſunt puncto C; </
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<
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id
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N219B4
">nam certum eſt
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ex his quæ fusè diximus lib.1.non produci plures partes impetus in C,
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in
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ſed perfectiorem impetum produci in C, quàm in Q: </
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">recole quæ
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diximus lib.1. à Th. 99. ad Th.112. in quibus habes totam propagatio
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nem impetus determinati ad motum circularem; </
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<
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">ſiue applicetur po
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tentia centro, id eſt iuxta centrum; ſiue circumferentiæ. </
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Theorema
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18.
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Motus puncti C non eſt velocior motu puncti Q ratione temporis, ſed ſpatij
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; </
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<
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quia vtrumque mouetur ſemper æquali tempore, quia ſunt in eodem ra
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dio; </
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<
s
id
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N219F2
">recole etiam, quæ diximus alibi, ſcilicet lib. 2. in comparatione
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motuum, vel aſſumi poſſe ſpatia æqualia cum temporibus inæqualibus,
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vel tempora æqualia cum ſpatiis inæqualibus; </
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<
s
id
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N219FA
">atqui in motu circulari
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cum omnes partes eiuſdem mobilis ſimul moueantur, id eſt ſimul inci
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piant, & deſinant moueri; </
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<
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id
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N21A02
">certè æquali tempore mouentur; </
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<
s
id
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N21A06
">ſed motus
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eſt inæqualis; igitur non ratione temporis, quod æquale eſt, ſed
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ſpatij. </
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<
s
id
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">Hic fortè aliquis deſideraret ſolutionem illius argumenti, quod vul
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gò ducitur ex motu circulari contra puncta phyſica, quod ſic breuiter
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proponi poteſt. </
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<
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">Sit punctum Q, quod acquirat punctum ſpatij verſus R
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vno inſtanti; </
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<
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">certe punctum C, quod mouetur verſus S, acquiret eodem </
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