Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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one perpetuo communicant, & exteriores illi eandem motus quan
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titatem in alios adhuc exteriores ſimul tranſferunt, eaque actione
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ſervant quantitatem motus ſui plane invariatam; patet quod mo
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tus perpetuo transfertur à centro ad circumferentiam Vorticis, &
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per infinitatem circumferentiæ abſorbetur. </
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<
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>Materia inter ſphæri
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cas duas quaſvis ſuperficies Vortici concentricas nunquam accele
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rabitur, eo quod motum omnem à materia interiore acceptum
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transfert ſemper in exteriorem. </
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DE MOTU
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CORPORUM</
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Corol.
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4. Proinde ad conſervationem Vorticis conſtanter in eo
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dem movendi ſtatu, requiritur principium aliquod activum, à quo
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globus eandem ſemper quantitatem motus accipiat, quam imprimit
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in materiam Vorticis. </
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>Abſque tali principio neceſſe eſt ut globus
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& Vorticis partes interiores, propagantes ſemper motum ſuum in
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exteriores, neque novum aliquem motum recipientes, tardeſcant
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paulatim & in orbem agi definant. </
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Corol.
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5. Si globus alter huic Vortici ad certam ab ipſius centro
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diſtantiam innataret, & interea circa axem inclinatione datum vi
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aliqua conſtanter revolveretur; hujus motu raperetur fluidum in
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Vorticem: & primo revolveretur hic Vortex novus & exiguus una
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cum globo circa centrum alterius, & interea latius ſerperet ipſius
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motus, & paulatim propagaretur in infinitum, ad modum Vorticis
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primi. </
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>Et eadem ratione qua hujus globus raperetur motu Vorti
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cis alterius, raperetur etiam globus alterius motu hujus, ſic ut
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globi duo circa intermedium aliquod punctum revolverentur, ſe
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que mutuo ob motum illum circularem fugerent, niſi per vim
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aliquam cohibiti. </
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>Poſtea ſi vires conſtanter impreſſæ, quibus
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globi in motibus ſuis perſeverant, ceſſarent, & omnia legibus Me
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chanicis permitterentur, langueſceret paulatim motus globorum
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(ob rationem in Corol. </
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<
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>3. & 4. aſſignatam) & Vortices tandem
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conquieſcerent. </
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Corol.
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6. Si globi plures datis in locis circum axes poſitione da
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tos certis cum velocitatibus conſtanter revolverentur, fierent Vor
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tices totidem in infinitum pergentes. </
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>Nam globi ſinguli, eadem
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ratione qua unus aliquis motum ſuum propagat in infinitum, pro
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pagabunt etiam motus ſuos in infinitum, adeo ut fluidi infiniti
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pars unaquæque eo agitetur motu qui ex omnium globorum acti
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onibus reſultat. </
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<
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>Unde Vortices non definientur certis limitibus,
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ſed in ſe mutuo paulatim excurrent; globique per actiones Vorti
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cum in ſe mutuo, perpetuo movebuntur de locis ſuis, uti in
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Corollario ſuperiore expoſitum eſt; neque certam quamvis inter ſe</
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