Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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æquilibrio cum fluidi partibus conſtitutum, urgetur; & comparari
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poteſt cum exceſſu vel defectu ponderis in lance alterutra libræ. </
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DE MOTU
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CORPORUM</
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Corol.
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6. Corporum igitur in fluidis conſtitutorum duplex eſt Gra
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vitas: altera vera & abſoluta, altera apparens, vulgaris & compa
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rativa. </
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<
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>Gravitas abſoluta eſt vis tota qua corpus deorſum tendit:
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relativa & vulgaris eſt exceſſus gravitatis quo corpus magis tendit
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deorſum quam fluidum ambiens. </
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>Prioris generis Gravitate partes
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fluidorum & corporum omnium gravitant in locis ſuis: ideoque
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conjunctis ponderibus componunt pondus totius. </
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>Nam totum
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omne grave eſt, ut in vaſis liquorum plenis experiri licet; & pon
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dus totius æquale eſt ponderibus omnium partium, ideoque ex iiſ
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dem componitur. </
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>Alterius generis Gravitate corpora non gravi
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tant in locis ſuis, id eſt, inter ſe collata non prægravant, ſed mu
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tuos ad deſcendendum conatus impedientia permanent in locis
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ſuis, perinde ac ſi gravia non eſſent. </
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>Quæ in Aere ſunt & non
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prægravant, vulgus gravia non judicat. </
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>Quæ prægravant vulgus
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gravia judicat, quatenus ab Aeris pondere non ſuſtinentur. </
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>Pon
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dera vulgi nihil aliud ſunt quam exceſſus verorum ponderum ſu
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pra pondus Aeris. </
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>Unde & vulgo dicuntur levia, quæ ſunt mi
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nus gravia, Aerique prægravanti cedendo ſuperiora petunt. </
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>Com
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parative levia ſunt, non vere, quia deſcendunt in vacuo. </
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>Sic &
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in Aqua, corpora, quæ ob majorem vel minorem gravitatem de
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ſcendunt vel aſcendunt, ſunt comparative & apparenter gravia vel
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levia, & eorum gravitas vel levitas comparativa & apparens eſt ex
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ceſſus vel defectus quo vera eorum gravitas vel ſuperat gravita
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tem aque vel ab ea ſuperatur. </
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>Quæ vero nec prægravando de
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ſcendunt, nec prægravanti cedendo aſcendunt, etiamſi veris ſuis
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ponderibus adaugeant pondus totius, comparative tamen & in ſen
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ſu vulgi non gravitant in aqua. </
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Demonſtratio. </
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Corol.
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7. Quæ de gravitate demonſtrantur, obtinent in aliis qui
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buſcunque viribus centripetis. </
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Corol.
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8. Proinde ſi Medium, in quo corpus aliquod movetur,
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urgeatur vel a gravitate propria, vel ab alia quacunque vi centri
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peta, & corpus ab eadem vi urgeatur fortius: differentia virium
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eſt vis illa motrix, quam in præcedentibus Propoſitionibus ut vim
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centripetam conſideravimus. </
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<
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>Sin corpus a vi illa urgeatur levius,
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differentia virium pro vi centrifuga haberi debet. </
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9. Cum autem fluida premendo corpora incluſa non
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mutent eorum Figuras externas, patet inſuper, per Corollarium </
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