Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/452.jpg" pagenum="424"/>
                    <arrow.to.target n="note453"/>
                  menti annui prædicti ſupra diſtantiam Apogæi Lunæ a Perigæo
                    <lb/>
                  Solis in conſequentia; vel quod perinde eſt, capiatur angulus
                    <lb/>
                    <emph type="italics"/>
                  CDF
                    <emph.end type="italics"/>
                  æqualis complemento Anomaliæ veræ Solis ad gradus 360.
                    <lb/>
                  Et ſit
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  DC
                    <emph.end type="italics"/>
                  ut dupla Eccentricitas Orbis magni ad diſtan­
                    <lb/>
                  tiam mediocrem Solis a Terra, & motus medius diurnus Solis ab
                    <lb/>
                  Apogæo Lunæ ad motum medium diurnum Solis ab Apogæo
                    <lb/>
                  proprio conjunctim, id eſt, ut 33 7/8 ad 1000 & 52′. </s>
                  <s>27″. </s>
                  <s>16′ ad
                    <lb/>
                  59′. </s>
                  <s>8″. </s>
                  <s>10′ conjunctim, ſive ut 3 ad 100. Et concipe centrum
                    <lb/>
                  Orbis Lunæ locari in puncto
                    <emph type="italics"/>
                  F,
                    <emph.end type="italics"/>
                  & in Epicyclo cujus centrum eſt
                    <lb/>
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  & radius
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                  interea revolvi dum punctum
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  progreditur
                    <lb/>
                  in circumferentia circuli
                    <emph type="italics"/>
                  DABD.
                    <emph.end type="italics"/>
                  Hac enim ratione velocitas
                    <lb/>
                  qua centrum Orbis Lunæ in linea quadam curva circum centrum
                    <lb/>
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  deſcripta movebitur, erit reciproce ut cubus diſtantiæ Solis a
                    <lb/>
                  Terra quamproxime, ut oportet. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note453"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>Computatio motus hujus difficilis eſt, ſed facilior reddetur per
                    <lb/>
                  approximationem ſequentem. </s>
                  <s>Si diſtantia mediocris Lunæ a Terra
                    <lb/>
                  ſit partium 100000, & Eccentricitas
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ſit partium 5505 ut ſu­
                    <lb/>
                  pra: recta
                    <emph type="italics"/>
                  CB
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  invenietur partium 1172 1/4, & recta
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.452.1.jpg" xlink:href="039/01/452/1.jpg" number="221"/>
                    <lb/>
                  partium 35 1/3. Et hæc recta ad diſtantiam
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ſubtendit angulum
                    <lb/>
                  ad Terram quem tranſlatio centri Orbis a loco
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  ad locum
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  ge­
                    <lb/>
                  nerat in motu centri hujus: & eadem recta duplicata in ſitu paral­
                    <lb/>
                  lelo ad diſtantiam ſuperioris umbilici Orbis Lunæ a Terra, ſubten­
                    <lb/>
                  dit eundem angulum, quem utique tranſlatio illa generat in motu
                    <lb/>
                  umbilici, & ad diſtantiam Lunæ a Terra ſubtendit angulum quem
                    <lb/>
                  eadem tranſlatio generat in motu Lunæ, quique propterea Æqua­
                    <lb/>
                  tio centri Secunda dici poteſt. </s>
                  <s>Et hæc Æquatio in mediocri Lunæ
                    <lb/>
                  diſtantia a Terra, eſt ut ſinus anguli quem recta illa
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                  cum recta
                    <lb/>
                  a puncto
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  ad Lunam ducta continet quamproxime, & ubi ma­
                    <lb/>
                  xima eſt evadit 2′. </s>
                  <s>25″. </s>
                  <s>Angulus autem quem recta
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                  & recta
                    <lb/>
                  a puncto
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  ad Lunam ducta comprehendunt, invenitur vel ſub­
                    <lb/>
                  ducendo angulum
                    <emph type="italics"/>
                  EDF
                    <emph.end type="italics"/>
                  ab Anomalia media Lunæ, vel addendo
                    <lb/>
                  diſtantiam Lunæ a Sole ad diſtantiam Apogæi Lunæ ab Apogæo </s>
                </p>
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