Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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CDE &c. </
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<
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">deſcribantur circuli radio KB; </
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">& aſſumatur CR æqualis
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B 2; tùm DL æqualis B 3, tùm EM æqualis B 4, tùm FN æqualis B 5,
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atque ita deinceps, vt per puncta ſignata deſcribatur linea curua
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BRLMNOPRQ, hæc eſt linea huius motus. </
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<
s
id
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">Tertiò, omnia puncta mouentur inæqualiter, B quidem tardiſſimè,
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Q velociſſimè; </
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<
s
id
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">nam eo tempore, quò B conficit BR, modicum illud
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ſpatium IQ decuerit QS, cuius proportio ex analyſi cognoſci poteſt; </
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<
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idem dico de motu aliorum punctorum; eſt etiam eadem ratio huius
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inæqualitatis, de qua ſuprâ, cuius omnes proportiones aſſignari poſ
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ſunt. </
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<
s
id
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">Quartò obſerua, figuram huius lineæ, quæ accedere videtur ad ſpi
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ralem: præterea linea puncti B, ſcilicet BRLMNOPRQ, ſecat li
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neam puncti Q in 8 mirabili implicatione, cuius interior portio exhibet
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ſectionem cordis ſcilicet BRLMN 8 XY
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B. </
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">Quintò, deinde pro diuerſa proportione rotarum maioris, ſcilicet &
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minoris rotæ, ſunt diuerſæ lineæ, & motus mixti diuerſi; immò poſſet
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rota immobilis, circa quam alia rotatur, tam parua eſſe, vt linea tantùm
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poſt multas gyrationes perfici poſſet. </
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<
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id
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">Sextò, poſſunt etiam determinari lineæ aliorum punctorum intra
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rotam mobilem v, g.puncti T; </
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<
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id
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">quod vt fiat, ſemper eſt aſſumendus ra
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dius KB, qui ſcilicet, dum K eſt in
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, incubat
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R, dum eſt in M incubat
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ML, dum eſt in
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reſpondet
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M; </
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<
s
id
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">denique dum eſt in 9 reſpondet
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9 N; itaque aſſumantur
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3, M
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7, 9
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æquales K, & ducatur per
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ſignata puncta linea curua T3
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7
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, hæc eſt linea motus mixti pun
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cti T. </
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<
s
id
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">Septimò, quando motus minoris rotæ radio KT dirigitur à motu
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maioris radio KB, rotatur illa in ſuperficie circuli radio AT, ſed ita
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quadratus TV quaſi repat per contactus inadæquatos in ſemicirculo
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T 11 10; </
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<
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id
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">porrò in hoc caſu maxima eſſet difficultas rotæ Ariſtotelicæ;
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denique, quando maior dirigitur à minori, quadrans B5 quaſi contra
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hitur in arcu minore BC, quæ contractio explicatur per contractus in
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adæquatos, vt iam ſæpè diximus in aliis motibus. </
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Theorema
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18.
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Explicari poſſunt omnia phœnomena rotæ mobilis in ſuperficie concaua
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maioris circuli
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; dixi maioris circuli; </
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<
s
id
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">quia in ſuperficie concaua mi
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noris, vel æqualis moueri non poteſt, vt conſtat; </
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<
s
id
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">ſit ergo fig.4. rota
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mobilis radio PC; </
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<
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id
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">ſit ſuperficies concaua circuli dupli prioris in
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peripheria CGK; </
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<
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id
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">diuidatur CGK in 8 arcus æquales; haud
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dubiè tota ſuperficies rotæ mobilis ſucceſſiuè percurret totam
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ſuperficiem concauam CGK, cùm illa ſit huic æqualis, hoc po
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ſito. </
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<
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id
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">Primò, punctum C percurret rectam CAK, nec vnquam ab
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ea diſcedet, & centrum P percurret ſemicirculum PQN; </
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<
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