Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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7, 8 & 9. Prop. </
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<
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>LXVI. Lib. </
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<
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>I. </
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<
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>Et hæ inæqualitates per eadem </
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Corollaria permagnæ ſunt, & Æquationem principalem Apogæi
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generant, quam Semeſtrem vocabo. </
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>Et Æquatio maxima Seme
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ſtris eſt 12
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gr.
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18′ circiter, quantum ex Obſervationibus colligere
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potui.
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Horroxius
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noſter Lunam in Ellipſi circum Terram, in ejus
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umbilico inferiore conſtitutam, revolvi primus ſtatuit.
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Halleius
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centrum Ellipſeos in Epicyclo locavit, cujus centrum uniformiter
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revolvitur circum Terram. </
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<
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>Et ex motu in Epicyclo oriuntur in
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æqualitates jam dictæ in progreſſu & regreſſu Apogæi & quanti
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tate Eccentricitatis. </
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<
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>Dividi intelligatur diſtantia mediocris Lunæ
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a Terra in partes 100000, & referat
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T
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Terram &
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TC
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Eccentri
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citatem mediocrem Lunæ partium 5505. Producatur
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TC
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ad
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B,
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ut ſit
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CB
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ſinus Æquationis maximæ Semeſtris 12
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gr.
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18′ ad ra
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dium
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TC,
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& circulus
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BDA
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centro
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C
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intervallo
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CB
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deſcriptus,
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erit Epicyclus ille in quo centrum Orbis Lunaris locatur & ſe
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cundum ordinem literarum
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BDA
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revolvitur. </
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<
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BCD
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æqualis duplo argumento annuo, ſeu duplæ diſtantiæ veri
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loci Solis ab Apogæo Lunæ ſemel æquato, & erit
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CTD
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Æquatio
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Semeſtris Apogæi Lunæ &
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TD
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Eccentricitas Orbis ejus in Apo
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gæum ſecundo æquatum tendens. </
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<
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>Habitis autem Lunæ motu
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medio & Apogæo & Eccentricitate, ut & Orbis axe majore par
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tium 200000; ex his eruetur verus Lunæ locus in Orbe & di
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ſtantia ejus a Terra, idque per Methodos notiſſimas. </
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LIBER
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TERTIUS.</
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<
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>In Perihelio Terræ, propter majorem vim Solis, centrum Or
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bis Lunæ velocius movetur circum centrum
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C
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quam in Aphelio,
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idQ.E.I. triplicata ratione diſtantiæ Terræ a Sole inverſe. </
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<
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>Ob
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Æquationem centri Solis in Argumento annuo comprehenſam, cen
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trum Orbis Lunæ velocius movetur in Epicyclo
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BDA
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in du
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plicata ratione diſtantiæ Terræ a Sole inverſe. </
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<
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velocius moveatur in ratione ſimplici diſtantiæ inverſe; ab Orbis
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centro
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D
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agatur recta
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DE
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verſus Apogæum Lunæ, ſeu rectæ
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TC
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parallela, & capiatur angulus
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EDF
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æqualis exceſſui Argu-</
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