Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  rum 29.
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                  hor.
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                  12. &
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                  min.
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                  44. augeri debent momentorum incre­
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                  menta in ratione temporis, id eſt, in ratione 1080853 ad 1000000.
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                  Hoc pacto incrementum totum, quod erat pars (100/11915) momenti
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                  mediocris, jam fiet ejuſdem pars (100/11023). Ideoque momentum
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                  areæ in Quadratura Lunæ erit ad ejus momentum in Syzygia
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                  ut 11023-50 ad 11023+50, ſeu 10973 ad 11073, & ad ejus
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                  momentum, ubi Luna in alio quovis loco intermedio
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                  P
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                  verſatur,
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                  ut 10973 ad 10973+
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                  Pd,
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                  exiſtente videlicet
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                  TP
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                  æquali 100. </s>
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                <p type="margin">
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                  DE MUNDI
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                  SYSTEMATE</s>
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                  <s>Area igitur, quam Luna radio ad Terram ducto ſingulis tem­
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                  poris particulis æqualibus deſcribit, eſt quam proxime ut ſumma
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                  numeri 219,46 & Sinus verſi duplicatæ diſtantiæ Lunæ a Quadra­
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                  tura proxima, in circulo cujus radius eſt unitas. </s>
                  <s>Hæc ita ſe ha­
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                  bent ubi Variatio in Octantibus eſt magnitudinis mediocris. </s>
                  <s>Sin
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                  Variatio ibi major ſit vel minor, augeri debet vel minui Sinus ille
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                  verſus in eadem ratione. </s>
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                  PROPOSITIO XXVII. PROBLEMA VIII.
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                  Ex motu horario Lunæ invenire ipſius diſtantiam a Terra.
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                  <s>Area, quam Luna radio ad Terram ducto, ſingulis temporis
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                  momentis, deſcribit, eſt ut motus horarius Lunæ & quadratum
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                  diſtantiæ Lunæ a Terra conjunctim; & propterea diſtantia Lunæ
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                  a Terra eſt in ratione compoſita ex ſubduplicata ratione Areæ di­
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                  recte & ſubduplicata ratione motus horarii inverſe.
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                  Q.E.I.
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                  </s>
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                <p type="main">
                  <s>
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                  Corol.
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                  1. Hinc datur Lunæ diameter apparens: quippe quæ ſit
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                  reciproce ut ipſius diſtantia a Terra. </s>
                  <s>Tentent Aſtronomi quam
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                  probe hæc Regula cum Phænomenis congruat. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  2. Hinc etiam Orbis Lunaris accuratius ex Phænomenis
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                  quam antehac definiri poteſt. </s>
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                    <emph type="center"/>
                  PROPOSITIO XXVIII. PROBLEMA IX.
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                  </s>
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                  <s>
                    <emph type="center"/>
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                  Invenire diametros Orbis in quo Luna, abſque eccentricitate,
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                  moveri deberet.
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                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Curvatura Trajectoriæ, quam mobile, ſi ſecundum Trajectoriæ
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                  illius perpendiculum trahatur, deſcribit, eſt ut attractio directe &
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                  quadratum velocitatis inverſe, Curvaturas linearum pono eſſe in-</s>
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