Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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actus, a circumagente manu abire conatur; & conatu ſuo fundam
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diſtendit,
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eoq;
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fortius quo celerius revolvitur; &, quamprimum di
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mittitur, avolat. </
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<
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>Vim conatui illi contrariam, qua funda lapidem
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in manum perpetuò retrahit & in orbe retinet, quoniam in manum
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ceu orbis centrum dirigitur, Centripetam appello. </
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<
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>Et par eſt ratio
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corporum omnium, quæ in gyrum aguntur. </
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<
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>Conantur ea omnia a
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centris orbium recedere; & niſi adſit vis aliqua conatui iſti contra
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ria, qua cohibeantur & in orbibus retineantur, quamQ.E.I.eò Centri
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petam appello, abibunt in rectis lineis uniformi cum motu. </
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<
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>Pro
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jectile, ſi vi Gravitatis deſtitueretur, non deflecteretur in terram, ſed
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in linea recta abiret in cælos; idque uniformi cum motu, ſi modo
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aeris reſiſtentia tolleretur. </
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<
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>Per gravitatem ſuam retrahitur a curſu
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rectilineo & in terram perpetuo flectitur, idque magis vel minus
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pro gravitate ſua & velocitate motus. </
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<
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>Quo minor erit ejus gravitas pro quantitate materiæ vel major &c. </
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<
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vel major velocitas quacum projicitur, eo minus deviabit a curſu
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rectilineo & longius perget. </
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<
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>Si Globus plumbeus, data cum velo
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citate ſecundum lineam horizontalem a montis alicujus vertice vi
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pulveris tormentarii projectus, pergeret in linea curva ad diſtantiam
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duorum milliarium, priuſquam in terram decideret: hic dupla cum
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velocitate quaſi duplo longius pergeret, & decupla cum velocitate
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quaſi decuplo longius: ſi modo aeris reſiſtentia tolleretur. </
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<
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>Et augendo
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velocitatem augeri poſſet pro lubitu diſtantia in quam projiceretur,
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& minui curvatura lineæ quam deſcriberet, ita ut tandem caderet
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ad diſtantiam graduum decem vel triginta vel nonaginta; vel etiam
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ut terram totam circuiret priuſquam caderet; vel denique ut in
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terram nunquam caderet, ſed in cælos abiret & motu abeundi per
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geret in infinitum. </
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<
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>Et eadem ratione, qua Projectile vi gravitatis
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in orbem flecti poſſet & terram totam circuire, poteſt & Luna vel
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vi gravitatis, ſi modo gravis ſit, vel alia quacunque vi, qua in ter
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ram urgeatur, retrahi ſemper a curſu rectilineo terram verſus, &
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in orbem ſuum flecti: & abſque tali vi Luna in orbe ſuo retineri
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non poteſt. </
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<
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>Hæc vis, ſi juſto minor eſſet, non ſatis flecteret Lunam
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de curſu rectilineo: ſi juſto major, plus ſatis flecteret, ac de orbe
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terram verſus deduceret. </
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<
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>Requiritur quippe, ut ſit juſtæ magnitudinis:
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& Mathematieorum eſt invenire Vim, qua corpus in dato quovis
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orbe data cum velocitate accurate retineri poſſit; & viciſſim inve
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nire Viam curvilineam, in quam corpus e dato quovis loco data
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cum velocitate egreſſum a data vi flectatur. </
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<
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>Eſt autem vis hujus cen
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tripetæ Quantitas trium generum, Abſoluta, Acceleratrix, & Motrix. </
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