Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <pb xlink:href="039/01/467.jpg" pagenum="439"/>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  LEMMA IV.
                    <emph.end type="center"/>
                    <lb/>
                    <arrow.to.target n="note468"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note468"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Cometas eſſe Luna ſuperiores & in regione Planetarum verſari.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Ut defectus Parallaxeos diurnæ extulit Cometas ſupra regiones
                    <lb/>
                  ſublunares, ſic ex Parallaxi annua convincitur eorum deſcenſus in
                    <lb/>
                  regiones Planetarum. </s>
                  <s>Nam Cometæ qui progrediuntur ſecun­
                    <lb/>
                  dum ordinem ſignorum ſunt omnes, ſub exitu apparitionis, aut
                    <lb/>
                  ſolito tardiores aut retrogradi, ſi Terra eſt inter ipſos & Solem;
                    <lb/>
                  at juſto celeriores ſi Terra vergit ad oppoſitionem. </s>
                  <s>Et e contra,
                    <lb/>
                  qui pergunt contra ordinem ſignorum ſunt juſto celeriores in fine
                    <lb/>
                  apparitionis, ſi Terra verſatur inter ipſos & Solem; & juſto tar­
                    <lb/>
                  diores vel retrogradi ſi Terra ſita eſt ad contrarias partes. </s>
                  <s>Con­
                    <lb/>
                  tingit hoc maxime ex motu Terræ in vario ipſius ſitu, perinde ut
                    <lb/>
                  fit in Planetis, qui, pro motu Terræ vel conſpirante vel contra­
                    <lb/>
                  rio, nunc retrogradi ſunt, nunc tardius progredi videntur, nunc
                    <lb/>
                  vero celerius. </s>
                  <s>Si Terra pergit ad eandem partem cum Cometa,
                    <lb/>
                  & motu angulari circa Solem tanto celerius fertur, ut recta per
                    <lb/>
                  Terram & Cometam perpetuo ducta convergat ad partes ultra
                    <lb/>
                  Cometam, Cometa e Terra ſpectatus, ob motum ſuum tardiorem,
                    <lb/>
                  apparet eſſe retrogradus; ſin Terra tardius fertur, motus Cometæ,
                    <lb/>
                    <figure id="id.039.01.467.1.jpg" xlink:href="039/01/467/1.jpg" number="225"/>
                    <lb/>
                  (detracto motu Terræ) fit ſaltem tardior. </s>
                  <s>At ſi Terra pergit in
                    <lb/>
                  contrarias partes, Cometa exinde velocior apparet. </s>
                  <s>Ex accele­
                    <lb/>
                  ratione autem vel retardatione vel motu retrogrado diſtantia Co­
                    <lb/>
                  metæ in hunc modum colligitur. </s>
                  <s>Sunto
                    <emph type="italics"/>
                  r QA, r QB, r QC
                    <emph.end type="italics"/>
                    <lb/>
                  obſervatæ tres longitudines Cometæ, ſub initio motus, ſitque
                    <lb/>
                    <emph type="italics"/>
                  r QF
                    <emph.end type="italics"/>
                  longitudo ultimo obſervata, ubi Cometa videri deſinit. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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