Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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tione maximus decreſcentis inclinationis motus fit in Quadraturis
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Nodorum, & minimus inclinationis angulus in Octantibus poſt
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Quadraturas; dein maximus reclinationis motus in Syzygiis, &
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maximus angulus in Octantibus proximis. </
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>Et eadem eſt ratio Glo
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bi Annulo nudati, qui in regionibus æquatoris vel altior eſt paulo
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quam juxta polos, vel conſtat ex nateria paulo denſiore. </
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>Sup
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plet enim vicem Annuli iſte materiæ in æquatoris regionibus exceſ
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ſus. </
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>Et quanquam, aucta utcunque Globi hujus vi centripeta,
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tendere ſupponantur omnes ejus partes deorſum, ad modum gra
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vitantium partium telluris, tamen Phænomena hujus & præceden
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tis Corollarii vix inde mutabuntur. </
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DE MOTU
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CORPORUM</
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Corol.
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21. Eadem ratione qua materia Globi juxta æquatorem
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redundans efficit ut Nodi regrediantur, atque adeo per hujus in
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crementum augetur iſte regreſſus, per diminutionem vero diminui
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tur & per ablationem tollitur; ſi materia pluſquam redundans tol
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latur, hoc eſt, ſi Globus juxta æquatorem vel depreſſior reddatur
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vel rarior quam juxta polos, orietur motus Nodorum in con
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ſequentia. </
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Corol.
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22. Et inde viciſſim, ex motu Nodorum innoteſcit conſti
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tutio Globi. </
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>Nimirum ſi Globus polos eoſdem conſtanter ſervat,
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& motus fit in antecedentia, materia juxta æquatorem redundat;
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ſi in conſequentia, deficit. </
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>Pone Globum uniformem & perfecte
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circinatum in ſpatiis liberis primo quieſcere; dein impetu quocun
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que obliQ.E.I. ſuperficiem ſuam facto propelli, & motum inde
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concipere partim circularem, partim in directum. </
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>Quoniam Glo
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bus iſte ad axes omnes per centrum ſuum tranſeuntes indifferenter
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ſe habet, neque propenſior eſt in unum axem, unumve axis ſitum,
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quam in alium quemvis; perſpicuum eſt quod is axem ſuum axiſ
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Q.E.I.clinationem vi propria nunquam mutabit. </
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>Impellatur jam
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Globus oblique, in eadem illa ſuperficiei parte qua prius, impulſu
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quocunque novo; & cum citior vel ferior impulſus effectum nil
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mutet, manifeſtum eſt quod hi duo impulſus ſucceſſive impreſſi
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eundem producent motum ac ſi ſimul impreſſi fuiſſent, hoc eſt,
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eundem ac ſi Globus vi ſimplici ex utroque (per Legum Corol. </
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compoſita impulſus fuiſſet, atque adeo ſimplicem, circa axem in
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clinatione datum. </
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>Et par eſt ratio impulſus ſecundi facti in lo
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cum alium quemvis in æquatore motus primi; ut & impulſus pri
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mi facti in locum quemvis in æquatore motus, quem impulſus ſe
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cundus abſque primo generaret; atque adeo impulſuum amborum
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factorum in loca quæcunque: Generabunt hi eundem motum cir-</
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