Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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totius moles in binas quaſcunque partes, vel æquales vel utcunque
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inæquales: jam ſi pondera partium non eſſent in ſe mutuo æqua
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lia; cederet pondus minus majori, & partes conjunctæ pergerent
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recta moveri ad infinitum, verſus plagam in quam tendit pondus
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majus: omnino contra Experientiam. </
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<
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>ItaQ.E.D.cendum erit, pon
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dera partium in æquilibrio eſſe conſtituta: hoc eſt, Gravitatis
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actionem eſſe mutuam & utrinque æqualem. </
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<
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>Pondera corporum, æqualiter a centro Terræ diſtantium, ſunt ut
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quantitates materiæ in corporibus. </
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<
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>Hoc utique colligitur ex
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æquali acceleratione corporum omnium, e quiete per ponderum
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vires cadentium: nam vires quibus inæqualia corpora æqualiter
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accelerantur, debent eſſe proportionales quantitatibus materiæ
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movendæ. </
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<
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>Jam vero corpora univerſa cadentia æqualiter acce
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lerari, ex eo patet, quod in Vacuo
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Boyliano
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temporibus æqualibus
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æqualia ſpatia cadendo deſcribunt, ſublata ſcilicet Aeris reſiſtentia:
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accuratius autem comprobatur per Experimenta Pendulorum. </
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<
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>Vires attractivæ corporum, in æqualibus diſtantiis, ſunt ut
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quantitates materiæ in corporibus. </
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<
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>Nam cum corpora in Ter
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ram & Terra viciſſim in corpora momentis æqualibus gravitent;
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Terræ pondus in unumquodque corpus, ſeu vis qua corpus Ter
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ram attrahit, æquabitur ponderi corporis ejuſdem in Terram. </
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Hoc autem pondus erat ut quantitas materiæ in corpore: itaque
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vis qua corpus unumquodque Terram attrahit, ſive corporis vis
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abſoluta, erit ut eadem quantitas materiæ. </
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<
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>Oritur ergo & componitur vis attractiva corporum integrorum
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ex viribus attractivis partium: ſiquidem aucta vel diminuta mole
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materiæ, oſtenſum eſt, proportionaliter augeri vel diminui ejus vir
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tutem. </
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<
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>Actio itaque Telluris ex conjunctis partium Actionibus
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conflari cenſenda erit; atque adeo corpora omnia Terreſtria ſe
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mutuo trahere oportet viribus abſolutis, quæ ſint in ratione ma
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teriæ trahentis. </
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<
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>Hæc eſt natura Gravitatis apud Terram: videa
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mus jam qualis ſit in Cælis. </
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<
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>Corpus omne perſeverare in ſtatu ſuo vel quieſcendi vel movendi
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uniformiter in directum, niſi quatenus a viribus impreſſis cogitur
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ſtatum illum mutare; Naturæ lex eſt ab omnibus recepta Philoſo
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phis. </
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<
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>Inde vero ſequitur, corpora quæ in Curvis moventur, atque
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adeo de lineis rectis Orbitas ſuas tangentibus jugiter abeunt, Vi
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aliqua perpetuo agente retineri in itinere curvilineo. </
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<
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>Planetis
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igitur in Orbibus curvis revolventibus neceſſario aderit Vis aliqua,
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per cujus actiones repetitas indeſinenter a Tangentibus deflectantur. </
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