Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>Per Theoriam Gravitatis conſtitit etiam quod actio Solis in
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                  Lunam paulo major ſit ubi tranſverſa diameter Orbis Lunaris
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                  tranſit per Solem, quam ubi eadem ad rectos eſt angulos cum
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                  linea Terram & Solem jungente: & propterea Orbis Lunaris
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                  paulo major eſt in priore caſu quam in poſteriore. </s>
                  <s>Et hinc ori­
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                  tur alia Æquatio motus medii Lunaris, pendens a ſitu Apogæi
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                  Lunæ ad Solem, quæ quidem maxima eſt cum Apogæum Lunæ
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                  verſatur in Octante cum Sole; & nulla cum illud ad Quadraturas
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                  vel Syzygias pervenit: & motui medio additur in tranſitu Apo­
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                  gæi Lunæ a Solis Quadratura ad Syzygiam, & ſubducitur in tran­
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                  ſitu Apogæi a Syzygia ad Quadraturam. </s>
                  <s>Hæc Æquatio quam
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                  Semeſtrem vocabo, in Octantibus Apogæi quando maxima eſt,
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                  aſcendit ad 3′. </s>
                  <s>45″ circiter, quantum ex Phænomenis colligere
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                  potui. </s>
                  <s>Hæc eſt ejus quantitas in mediocri Solis diſtantia a Terra. </s>
                  <s>
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                  Augetur vero ac diminuitur in triplicata ratione diſtantiæ Solis
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                  inverſe, adeoQ.E.I. maxima Solis diſtantia eſt 3′. </s>
                  <s>34″, & in mi­
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                  nima 3′. </s>
                  <s>56″ quamproxime: ubi vero Apogæum Lunæ ſitum eſt
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                  extra Octantes, evadit minor; eſtque ad Æquationem maximam,
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                  ut ſinus duplæ diſtantiæ Apogæi Lunæ a proxima Syzygia vel
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                  Quadratura ad radium. </s>
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                  <s>Per eandem Gravitatis Theoriam actio Solis in Lunam paulo
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                  major eſt ubi linea recta per Nodos Lunæ ducta tranſit per So­
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                  lem, quam ubi linea ad rectos eſt angulos cum recta Solem ac
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                  Terram jungente. </s>
                  <s>Et inde oritur alia medii motus Lunaris Æqua­
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                  tio, quam Semeſtrem ſecundam vocabo, quæque maxima eſt ubi
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                  Nodi in Solis Octantibus verſantur, & evaneſcit ubi ſunt in Syzy­
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                  giis vel Quadraturis, & in aliis Nodorum poſitionibus proportio­
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                  nalis eſt ſinui duplæ diſtantiæ Nodi alterutrius a proxima Syzygia
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                  aut Quadratura: additur vero medio motui Lunæ dum Nodi
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                  tranſeunt a Solis Quadraturis ad proximas Syzygias, & ſubduci­
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                  tur in eorum tranſitu a Syzygiis ad Quadraturas; & in Octanti­
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                  bus ubi maxima eſt, aſcendit ad 47″ in mediocri Solis diſtantia a
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                  Terra, uti ex Theoria Gravitatis colligo. </s>
                  <s>In aliis Solis diſtantiis
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                  hæe Æquatio, in Octantibus Nodorum, eſt reciproce ut cubus di­
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                  ſtantiæ Solis a Terra, ideoQ.E.I. Perigæo Solis ad 45″ in Apo­
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                  gæo ejus ad 49″ circiter aſcendit. </s>
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                  <s>Per eandem Gravitatis Theoriam Apogæum Lunæ progreditur
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                  quam maxime ubi vel cum Sole conjungitur vel eidem opponitur,
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                  & regreditur ubi cum Sole Quadraturam facit. </s>
                  <s>Et Eccentricitas
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                  fit maxima in priore caſu & minima in poſteriore, per Corol. </s>
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