Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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pro quo non eſt noua difficultas; nam eſt prorſus eadem ratio, niſi
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quod primò debet priùs imprimi motus rectus omnibus partibus erecto
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cylindro tùm vbi ſeparatur à manu circulariis. </
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<
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">Secundò centrum poteſt
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accedere propiùs ad ſummam extremitatem vel ad imam. </
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<
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">Tertiò, aſcendit
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eò altiùs cylindrus, quò centrum motus orbis accedit propiùs ad ſum
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mam extremitatem. </
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<
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">Quartò, poteſt extremitas ima impelli duobus mo
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dis: </
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<
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">ſed quia hæc omnia perti
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nent ad diuerſos oblongæ haſtæ motus iucundaque militaris illius exer
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citationis phœnomena, quorum omnium rationem in ſingulari Theo
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remate afferemus; eò totam rem iſtam remittimus. </
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Theorema
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14.
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Quando globus, ſeu rota voluitur in ſuperficie curua immobili, omnes eius
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partes mouentur motu mixto ex duobus circularibus, ſcilicet ex motu circula
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ri centri, & circulari orbis,
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eſt enim motus centri circularis ſi voluatur
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globus in orbe, hoc eſt in ſuperficie curua; </
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<
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conuexa, vel concaua, vel eſt circuli maioris, vel minoris; </
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<
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">itemque ſi con
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caua vel eſt circuli æqualis, vel maioris, vel minoris; igitur ſunt 6. nouæ
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combinationes, quæ ſi ducantur in 27. habebis 162. ſed quia, ſi eſt con
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caua minoris, vel æqualis, non poteſt globus in ea rotari. </
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<
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tùm 4. legitimæ combinationes nouæ, quæ ſi ducantur in 27, habebis
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108; ſed iam ſeorſim rem iſtam conſideremus. </
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Theorema
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15.
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Explicari poſſunt omnia phœnomena rotæ, quæ circa æqualem rotam immo
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bilem it a rotatur, vt arcus mobilis, & immobilis decurſi ſint æquales.
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<
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immobilis centro L, radio AB; ſit alia centro C æqualis priori, quæ ita
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moueatur, vt ſinguli arcus BE reſpondeant ſingulis arcubus BT, & pun
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ctum E tangat in T, D in X, F in D. </
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culari, deſcribitque circulum radio AC, ſcilicet duplum circuli immobi
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lis ABX. </
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tempore, quo in ſuperficie conuexa decurſus eſt arcus BT, centrum C
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confecit arcum CV duplum; cuius phœnomeni ratio clara eſt, quia ſci
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licet centrum C diſtat ſemper ab A toto radio AC duplo AB. </
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<
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">Tertiò poteſt deſcribi linea, quam punctum B ſuo fluxu deſcribit;
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ducatur ſemicirculus CVT; diuidatur in 12. partes æquales ductis radiis
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AC, AL, AV &c.qui ſecant circulum ABX in punctis YZ
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&c. </
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<
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ex punctis, quæ terminant ductos radios in ſemicirculo CVT deſcri
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bantur circuli radio CB; haud dubiè tangent hi circuli circulum ABX
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in punctis YZ
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&c. </
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<
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">denique accipiatur arcus YG æqualis YB, tùm
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ZH æqualis ZB, tùm
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I æqualis
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B, atque ita deinceps, & per puncta
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BGHIK. &c. </
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<
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id
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">ducantur curua BGLMOQS, atque idem fiat ſini
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ſtrorſum, & habebitur linea, quam ſuo fluxu deſcribit punctum B; </
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breuiter demonſtratur, quia quando centrum C eſt in L, decurrit arcum
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CL ſubduplum CV; </
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<
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; </
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">igitur decurrit B
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ſubduplum
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BT; </
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<
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">igitur circa centrum C motu orbis conuerſus eſt arcus ſubduplus </
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