Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  PROPOSITIO XXXIX. PROBLEMA XX.
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                  LIBER
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                  TERTIUS.</s>
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                  Invenire Præceſſionem Æquinoctiorum.
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                    <emph.end type="center"/>
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                  <s>Motus mediocris horarius Nodorum Lunæ in Orbe circulari,
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                  ubi Nodi ſunt in Quadraturis, erat 16″. </s>
                  <s>35′. </s>
                  <s>16
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                  iv
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                  . </s>
                  <s>36
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                  v
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                  . </s>
                  <s>& hujus
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                  dimidium 8′. </s>
                  <s>17′. </s>
                  <s>38
                    <emph type="sup"/>
                  iv
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                  . </s>
                  <s>18
                    <emph type="sup"/>
                  v
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                  . (ob rationes ſupra explicatas) eſt mo­
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                  tus medius horarius Nodorum in tali Orbe; fitque anno toto
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                  ſidereo 20
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                  gr.
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                  11′. </s>
                  <s>46″. </s>
                  <s>Quoniam igitur Nodi Lunæ in tali Orbe
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                  conficerent annuatim 20
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                  gr.
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                  11′. </s>
                  <s>46″. </s>
                  <s>in antecedentia; & ſi plures
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                  eſſent Lunæ motus Nodorum cujuſque, per Corol. </s>
                  <s>16. Prop. </s>
                  <s>
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                  LXVI. Lib. </s>
                  <s>I. forent ut tempora periodica; ſi Luna ſpatio
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                  diei ſiderei juxta ſuperficiem Terræ revolveretur, motus annuus
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                  Nodorum foret ad 20
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                  gr.
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                  11′. </s>
                  <s>46″. </s>
                  <s>ut dies ſidereus horarum 23. 56′. </s>
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                  ad tempus periodicum Lunæ dierum 27. 7 hor. </s>
                  <s>43′; id eſt, ut
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                  1436 ad 39343. Et par eſt ratio Nodorum annuli Lunarum
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                  Terram ambientis; ſive Lunæ illæ ſe mutuo non contingant, ſive
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                  liqueſcant & in annulum continuum formentur, ſive denique an­
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                  nulus ille rigeſcat & inflexibilis reddatur. </s>
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                  <s>Fingamus igitur quod annulus iſte, quoad quantitatem materiæ,
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                  æqualis ſit Terræ omni
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                  PapAPepE
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                  quæ globo
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                  Pape
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                  ſuperior
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                  eſt; (
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                  Vid. </s>
                  <s>Fig. </s>
                  <s>pag.
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                  434.) & quoniam globus iſte eſt ad Terram illam
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                  ſuperiorem ut
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                  aCqu.
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                  ad
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                  ACqu.-aCqu.
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                  id eſt (cum Terræ diameter
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                  minor
                    <emph type="italics"/>
                  PC
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                  vel
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                  aC
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                  ſit ad diametrum majorem
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                  AC
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                  ut 229 ad 230,)
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                  ut 52441 ad 459; ſi annulus iſte Terram ſecundum Æquatorem
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                  cingeret & uterque ſimul circa diametrum annuli revolveretur,
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                  motus annuli eſſet ad motum globi interioris (per hujus Lem. </s>
                  <s>III.)
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                  ut 459 ad 52441 & 1000000 ad 925275 conjunctim, hoc eſt,
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                  ut 4590 ad 485223; ideoque motus annuli eſſet ad ſummam mo­
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                  tuum annuli ac globi, ut 4590 ad 489813. Unde ſi annulus glo­
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                  bo adhæreat, & motum ſuum quo ipſius Nodi ſeu puncta Æqui­
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                  noctialia regrediuntur, cum globo communicet: motus qui reſta­
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                  bit in annulo erit ad ipſius motum priorem, ut 4590 ad 489813;
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                  & propterea motus punctorum Æquinoctialium diminuetur in
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                  eadem ratione. </s>
                  <s>Erit igitur motus annuus punctorum Æqui­
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                  noctialium corporis ex annulo & globo compoſiti, ad motum </s>
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