Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/446.jpg" pagenum="418"/>
                    <arrow.to.target n="note447"/>
                  eſt (cum
                    <emph type="italics"/>
                  Pp
                    <emph.end type="italics"/>
                  ſit ad
                    <emph type="italics"/>
                  PG
                    <emph.end type="italics"/>
                  ut ſinus Inclinationis prædictæ ad ra­
                    <lb/>
                  dium, & (
                    <emph type="italics"/>
                  AZXTZ/1/2AT
                    <emph.end type="italics"/>
                  ) ſit ad 4
                    <emph type="italics"/>
                  AT
                    <emph.end type="italics"/>
                  ut ſinus duplicati anguli
                    <emph type="italics"/>
                  ATn
                    <emph.end type="italics"/>
                    <lb/>
                  ad radium quadruplicatum) ut Inclinationis ejuſdem ſinus ductus
                    <lb/>
                  in ſinum duplicatæ diſtantiæ Nodorum a Sole, ad quadruplum
                    <lb/>
                  quadratum radii. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note447"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Quoniam Inclinationis horaria Variatio, ubi Nodi in
                    <lb/>
                  Quadraturis verſantur, eſt (per hanc Propoſitionem) ad angu­
                    <lb/>
                  lum 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  ut
                    <emph type="italics"/>
                  ITXAZXTGX(Pp/PG)
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ATcub.
                    <emph.end type="italics"/>
                  id eſt,
                    <lb/>
                  ut
                    <emph type="italics"/>
                  (ITXTG/1/2AT)X(Pp/PG)
                    <emph.end type="italics"/>
                  ad 2
                    <emph type="italics"/>
                  AT
                    <emph.end type="italics"/>
                  ; hoc eſt, ut ſinus duplicatæ di­
                    <lb/>
                  ſtantiæ Lunæ à Quadraturis ductus in (
                    <emph type="italics"/>
                  Pp/PG
                    <emph.end type="italics"/>
                  ) ad radium duplica­
                    <lb/>
                  tum: ſumma omnium Variationum horariarum, quo tempore
                    <lb/>
                  Luna in hoc ſitu Nodorum tranſit à Quadratura ad Syzygiam,
                    <lb/>
                  (id eſt, ſpatio horarum 177 1/6,) erit ad ſummam totidem angulo­
                    <lb/>
                  rum 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  , ſeu 5878″, ut ſumma omnium ſinuum dupli­
                    <lb/>
                  catæ diſtantiæ Lunæ à Quadraturis ducta in (
                    <emph type="italics"/>
                  Pp/PG
                    <emph.end type="italics"/>
                  ) ad ſummam to­
                    <lb/>
                  tidem diametrorum; hoc eſt, ut diameter ducta in (
                    <emph type="italics"/>
                  Pp/PG
                    <emph.end type="italics"/>
                  ) ad cir­
                    <lb/>
                  cumferentiam; id eſt, ſi Inclinatio ſit 5
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  1′, ut 7X(874/10000) ad 22,
                    <lb/>
                  ſeu 278 ad 10000. Proindeque Variatio tota, ex ſumma om­
                    <lb/>
                  nium horariarum Variationum tempore prædicto conflata, eſt
                    <lb/>
                  163″, ſeu 2′. </s>
                  <s>43″. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXV. PROBLEMA XVI.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Dato tempore invenire Inclinationem Orbis Lunaris ad planum
                    <lb/>
                  Eclipticæ.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Sit
                    <emph type="italics"/>
                  AD
                    <emph.end type="italics"/>
                  ſinus Inclinationis maximæ, &
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ſinus Inclinatio­
                    <lb/>
                  nis minimæ. </s>
                  <s>Biſecetur
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  & centro
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  intervallo
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                    <lb/>
                  deſcribatur Circulus
                    <emph type="italics"/>
                  BGD.
                    <emph.end type="italics"/>
                  In
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  capiatur
                    <emph type="italics"/>
                  CE
                    <emph.end type="italics"/>
                  in ea ratione
                    <lb/>
                  ad
                    <emph type="italics"/>
                  EB
                    <emph.end type="italics"/>
                  quam
                    <emph type="italics"/>
                  EB
                    <emph.end type="italics"/>
                  habet ad 2
                    <emph type="italics"/>
                  BA:
                    <emph.end type="italics"/>
                  Et ſi dato tempore conſti­
                    <lb/>
                  tuatur angulus
                    <emph type="italics"/>
                  AEG
                    <emph.end type="italics"/>
                  æqualis duplicatæ diſtantiæ Nodorum à </s>
                </p>
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          </chap>
        </body>
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