Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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TC
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ſeu 69 ad 70. Debet autem deſcriptio areæ
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CTP,
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in pro
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greſſu Lunæ a Quadratura ad Syzygiam, ea ratione accelerari, ut
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ejus momentum in Syzygia Lunæ ſit ad ejus momentum in Qua
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dratura ut 11073 ad 10973, utque exceſſus momenti in loco
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quovis intermedio
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P
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ſupra momentum in Quadratura ſit ut qua
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dratum ſinus anguli
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CTP.
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Id quod ſatis accurate fiet, ſi tan
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gens anguli
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diminuatur in ſubduplicata ratione numeri
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10973 ad numerum 11073, id eſt, in ratione numeri 68,6877 ad
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numerum 69. Quo pacto
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tangens anguli
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jam e
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rit ad tangentem motus me
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dii ut 68,6877 ad 70, & an
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gulus
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in Octantibus,
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ubi motus medius eſt 45
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gr.
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invenietur 44
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gr.
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27′. </
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ſubductus de angulo motus
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medii 45
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gr.
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relinquit Varia
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tionem maximam 32′. </
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>32″. </
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Hæc ita ſe haberent ſi Luna,
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pergendo a Quadratura ad
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Syzygiam, deſcriberet angu
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lum
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CTA
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graduum tantum
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nonaginta. </
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tum Terræ, quo Sol in con
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ſequentia motu apparente
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transfertur, Luna, priuſquam
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Solem aſſequitur, deſcribit
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angulum
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CTa
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angulo recto majorem in ratione temporis revo
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lutionis Lunaris Synodicæ ad tempus revolutionis Periodicæ, id
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eſt, in ratione 29
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d.
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12
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h.
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44′. </
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<
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d.
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7
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h.
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43′. </
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>Et hoc pacto an
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guli omnes circa centrum
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T
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dilatantur in eadem ratione, & Va
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riatio maxima quæ ſecus eſſet 32′. </
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fit 35′. </
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DE MUNDI
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SYSTEMATE</
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>Hæc eſt ejus magnitudo in mediocri diſtantia Solis a Terra,
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neglectis differentiis quæ a curvatura Orbis magni majorique So
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lis actione in Lunam falcatam & novam quam in gibboſam &
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plenam, oriri poſſint. </
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>In aliis diſtantiis Solis a Terra, Variatio
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maxima eſt in ratione quæ componitur ex duplicata ratione tem
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poris revolutionis Synodicæ Lunaris (dato anni tempore) directe,
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& triplicata ratione diſtantiæ Solis a Terra inverſe. </
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<
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>IdeoQ.E.I. </
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