Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/443.jpg" pagenum="415"/>
                  & agatur
                    <emph type="italics"/>
                  AE
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  AF
                    <emph.end type="italics"/>
                  ſecans perpendiculum
                    <emph type="italics"/>
                  DG
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  ; & ca­
                    <lb/>
                    <arrow.to.target n="note444"/>
                  piatur angulus qui ſit ad motum totum Nodi inter ipſius Syzy­
                    <lb/>
                  gias (id eſt, ad 9
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  11′. </s>
                  <s>3″.) ut tangens
                    <emph type="italics"/>
                  DG
                    <emph.end type="italics"/>
                  ad circuli
                    <emph type="italics"/>
                  BED
                    <emph.end type="italics"/>
                    <lb/>
                  circumferentiam totam; atque angulus iſte (pro quo angulus
                    <emph type="italics"/>
                  DAG
                    <emph.end type="italics"/>
                    <lb/>
                  uſurpari poteſt) ad motum medium Nodorum addatur ubi Nodi
                    <lb/>
                    <figure id="id.039.01.443.1.jpg" xlink:href="039/01/443/1.jpg" number="216"/>
                    <lb/>
                  tranſeunt a Quadraturis ad Syzygias, & ab eodem motu medio
                    <lb/>
                  ſubducatur ubi tranſeunt a Syzygiis ad Quadraturas; habebitur
                    <lb/>
                  eorum motus verus. </s>
                  <s>Nam motus verus ſic inventus congruet
                    <lb/>
                  quam proxime cum motu vero qui prodit exponendo tempus per
                    <lb/>
                  aream
                    <emph type="italics"/>
                  NTA-NdZ,
                    <emph.end type="italics"/>
                  & motum Nodi per aream
                    <emph type="italics"/>
                  NAeN
                    <emph.end type="italics"/>
                  ; ut
                    <lb/>
                  rem perpendenti & computationes inſtituenti conſtabit. </s>
                  <s>Hæc eſt
                    <lb/>
                  æquatio ſemeſtris motus Nodorum. </s>
                  <s>Eſt & æquatio menſtrua, ſed
                    <lb/>
                  quæ ad inventionem Latitudinis Lunæ minime neceſſaria eſt. </s>
                  <s>Nam
                    <lb/>
                  cum Variatio Inclinationis Orbis Lunaris ad planum Eclipticæ du­
                    <lb/>
                  plici inæqualitati obnoxia ſit, alteri ſemeſtri, alteri autem men­
                    <lb/>
                  ſtruæ; &c. </s>
                  <s>hujus menſtrua inæqualitas & æquatio menſtrua Nodorum
                    <lb/>
                  ita ſe mutuo contemperant & corrigunt, ut ambæ in determinan­
                    <lb/>
                  da Latitudine Lunæ negligi poſſint. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note444"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Ex hac & præcedente Propoſitione liquet quod Nodi in
                    <lb/>
                  Syzygiis ſuis quieſcunt, in Quadraturis autem regrediuntur motu
                    <lb/>
                  horario 16″. </s>
                  <s>19′. </s>
                  <s>26
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  . </s>
                  <s>Et quod æquatio motus Nodorum in
                    <lb/>
                  Octantibus ſit 1
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  30′. </s>
                  <s>Quæ omnia cum Phænomenis cœleſtibus
                    <lb/>
                  probe quadrant. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
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