Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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& agatur
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AE
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vel
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AF
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ſecans perpendiculum
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DG
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in
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G
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; & ca
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piatur angulus qui ſit ad motum totum Nodi inter ipſius Syzy
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gias (id eſt, ad 9
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gr.
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11′. </
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<
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>3″.) ut tangens
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DG
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ad circuli
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BED
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circumferentiam totam; atque angulus iſte (pro quo angulus
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DAG
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uſurpari poteſt) ad motum medium Nodorum addatur ubi Nodi
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tranſeunt a Quadraturis ad Syzygias, & ab eodem motu medio
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ſubducatur ubi tranſeunt a Syzygiis ad Quadraturas; habebitur
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eorum motus verus. </
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>Nam motus verus ſic inventus congruet
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quam proxime cum motu vero qui prodit exponendo tempus per
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aream
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NTA-NdZ,
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& motum Nodi per aream
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NAeN
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; ut
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rem perpendenti & computationes inſtituenti conſtabit. </
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>Hæc eſt
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æquatio ſemeſtris motus Nodorum. </
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>Eſt & æquatio menſtrua, ſed
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quæ ad inventionem Latitudinis Lunæ minime neceſſaria eſt. </
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>Nam
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cum Variatio Inclinationis Orbis Lunaris ad planum Eclipticæ du
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plici inæqualitati obnoxia ſit, alteri ſemeſtri, alteri autem men
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ſtruæ; &c. </
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>hujus menſtrua inæqualitas & æquatio menſtrua Nodorum
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ita ſe mutuo contemperant & corrigunt, ut ambæ in determinan
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da Latitudine Lunæ negligi poſſint. </
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LIBER
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TERTIUS.</
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Corol.
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Ex hac & præcedente Propoſitione liquet quod Nodi in
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Syzygiis ſuis quieſcunt, in Quadraturis autem regrediuntur motu
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horario 16″. </
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<
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>19′. </
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<
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>26
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iv
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. </
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>Et quod æquatio motus Nodorum in
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Octantibus ſit 1
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gr.
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30′. </
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<
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>Quæ omnia cum Phænomenis cœleſtibus
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probe quadrant. </
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