Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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AXIOMATA
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SIVE</
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<
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>In Attractionibus rem ſic breviter oſtendo. </
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<
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>Corporibus duobus
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quibuſvis
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A, B
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ſe mutuo trahentibus, concipe obſtaculum quodvis
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interponi quo congreſſus eorum impediatur. </
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<
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>Si corpus alterutrum
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A
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magis trahitur verſus corpus alterum
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B,
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quam illud alterum
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B
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in prius
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A,
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obſtaculum magis urgebitur preſſione corporis
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A
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quam
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preſſione corporis
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B
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; proindeque non manebit in æquilibrio. </
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<
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>Præ
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valebit preſſio fortior, facietque ut ſyſtema corporum duorum &
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obſtaculi moveatur in directum in partes verſus
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B,
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motuQ.E.I. ſpatiis
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liberis ſemper accelerato abeat in infinitum. </
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>Quod eſt abſurdum &
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Legi primæ contrarium. </
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>Nam per Legem primam debebit ſyſtema
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perſeverare in ſtatu ſuo quieſcendi vel movendi uniformiter in di
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rectum, proindeque corpora æqualiter urgebunt obſtaculum, & id
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circo æqualiter trahentur in invicem. </
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<
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>Tentavi hoc in Magnete &
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Ferro. </
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>Si hæc in vaſculis propriis ſeſe contingentibus ſeorſim po
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ſita, in aqua ſtagnante juxta fluitent; neutrum propellet alterum,
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ſed æqualitate attractionis utrinque ſuſtinebunt conatus in ſe mu
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tuos, ac tandem in æquilibrio conſtituta quieſcent. </
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<
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>Sic etiam gravitas inter Terram & ejus partes, mutua eſt. </
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<
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>Se
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cetur Terra
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FI
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plano quovis
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EG
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in partes duas
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EGF
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&
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EGI:
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& æqualia erunt harum pondera in ſe mu
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tuo. </
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<
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>Nam ſi plano alio
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HK
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quod priori
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EG
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parallelum ſit, pars major
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EGI
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ſe
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cetur in partes duas
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EGKH
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&
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HKI,
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quarum
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HKI
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æqualis ſit parti prius ab
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ſciſſæ
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EFG:
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manifeſtum eſt quod pars
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media
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EGKH
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pondere proprio in neu
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tram partium extremarum propendebit,
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ſed inter utramQ.E.I. æquilibrio, ut ita
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dicam, ſuſpendetur, & quieſcet. </
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<
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>Pars autem extrema
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HKI
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toto
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ſuo pondere incumbet in partem mediam, & urgebit illam in
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partem alteram extremam
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EGF
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; ideoque vis qua partium
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<
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HKI
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&
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EGKH
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ſumma
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EGI
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tendit verſus partem tertiam
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EGF,
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æqualis eſt ponderi partis
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HKI,
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id eſt ponderi partis ter
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tiæ
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EGF.
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Et propterea pondera partium duarum
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EGI, EGF
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in ſe mutuo ſunt æqualia, uti volui oſtendere. </
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<
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>Et niſi pondera illa
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æqualia eſſent, Terra tota in libero æthere fluitans ponderi majori
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cederet, & ab eo fugiendo abiret in infinitum. </
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<
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>Ut corpora in concurſu & reflexione idem pollent, quorum ve
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locitates ſunt reciproce ut vires inſitæ: ſic in movendis Inſtru
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mentis Mechanicis agentia idem pollent & conatibus contrariis ſe
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mutuo ſuſtinent, quorum velocitates ſecundum determinationem </
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