Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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arcum
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Gg
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; id eſt, ut diameter
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BD
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ad ſemicircum ferentiam
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BGD
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& tempus horarum (2079 1/10), quo Nodus pergit à Quadra
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turis ad Syzygias, ad horam unam conjunctim; hoc eſt, ut 7 ad
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11 & (2079 7/10) ad 1. Quare ſi rationes omnes conjungantur, fiet
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Variatio tota
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BD
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ad 33″. </
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>33
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ix
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ut 224X7X2079 (7/10) ad
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110000, id eſt, ut 29645 ad 1000, & inde Variatio illa
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BD
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prodibit 16′. </
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>23″ 1/2. </
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DE MUNDI
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SYSTEMATE</
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<
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>Hæc eſt Inclinationis Variatio maxima quatenus locus Lunæ in
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Orbe ſuo non conſideratur. </
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>Nam Inclinatio, ſi Nodi in Syzygiis
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verſantur, nil mutatur ex vario ſitu Lunæ. </
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<
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>At ſi Nodi in Qua
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draturis conſiſtunt, Inclinatio minor eſt ubi Luna verſatur in Sy
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zygiis, quam ubi ea verſatur in Quadraturis, exceſſu 2′. </
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>43″; uti
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in Propoſitionis ſuperioris Corollario quarto indicavimus. </
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<
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>Et
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hujus exceſſus dimidio 1′. </
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<
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>21″ 1/2. Variatio tota mediocris
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BD
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in
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Quadraturis Lunaribus diminuta fit 15′, 2″, in ipſius autem Syzy
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giis aucta fit 17′. </
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>45″. </
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>Si Luna igitur in Syzygiis conſtituatur,
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Variatio tota, in tranſitu Nodorum à Quadraturis ad Syzygias,
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erit 17′. </
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>45″: adeoque ſi Inclinatio, ubi Nodi in Syzygiis verſan
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tur, ſit 5
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gr.
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17′. </
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>20″; eadem, ubi Nodi ſunt in Quadraturis, &
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Luna in Syzygiis, erit 4
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gr.
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59′. </
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<
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>35″. </
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>Atque hæc ita ſe habere
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confirmatur ex Obſervationibus. </
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<
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>Si jam deſideretur Orbis Inclinatio illa, ubi Luna in Syzygiis
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& Nodi ubivis verſantur; fiat
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AB
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ad
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AD
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ut ſinus graduum 4.
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59′. </
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<
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>35″ ad ſinum graduum 5. </
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<
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>17′, 20″, & capiatur angulus
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AEG
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æqualis duplicatæ diſtantiæ Nodorum à Quadraturis; & erit
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AH
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ſinus Inclinationis quæſitæ. </
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>Huic Orbis Inclinationi æqualis eſt
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ejuſdem Inclinatio, ubi Luna diſtat 90
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gr.
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à Nodis. </
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>In aliis Lunæ
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locis inæqualitas menſtrua, quam Inclinationis variatio admittit,
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in calculo Latitudinis Lunæ compenſatur & quodammodo tolli
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tur per inæqualitatem menſtruam motus Nodorum, (ut ſupra dixi
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mus) adeoQ.E.I. calculo Latitudinis illius negligi poteſt. </
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