Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/444.jpg" pagenum="416"/>
                    <arrow.to.target n="note445"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note445"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXIV. PROBLEMA XV.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Invenire Variationem horariam Inclinationis Orbis Lunaris ad
                    <lb/>
                  planum Eclipticæ.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Deſignent
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  a
                    <emph.end type="italics"/>
                  Syzygias;
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  q
                    <emph.end type="italics"/>
                  Quadraturas;
                    <emph type="italics"/>
                  N
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  No­
                    <lb/>
                  dos;
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  locum Lunæ in Orbe ſuo;
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  veſtigium loci illius in plano
                    <lb/>
                  Eclipticæ, &
                    <emph type="italics"/>
                  mTl
                    <emph.end type="italics"/>
                  motum momentaneum Nodorum ut ſupra. </s>
                  <s>
                    <lb/>
                  Et ſi ad lineam
                    <emph type="italics"/>
                  Tm
                    <emph.end type="italics"/>
                  demittatur perpendiculum
                    <emph type="italics"/>
                  PG,
                    <emph.end type="italics"/>
                  jungatur
                    <emph type="italics"/>
                  pG,
                    <emph.end type="italics"/>
                    <lb/>
                  & producatur ea donec occurrat
                    <emph type="italics"/>
                  Tl
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  g,
                    <emph.end type="italics"/>
                  & jungatur etiam
                    <emph type="italics"/>
                  Pg
                    <emph.end type="italics"/>
                  :
                    <lb/>
                  erit angulus
                    <emph type="italics"/>
                  PGp
                    <emph.end type="italics"/>
                  Inclinatio orbis Lunaris ad planum Eclipticæ,
                    <lb/>
                    <figure id="id.039.01.444.1.jpg" xlink:href="039/01/444/1.jpg" number="217"/>
                    <lb/>
                  ubi Luna verſatur in
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  ; & angulus
                    <emph type="italics"/>
                  Pgp
                    <emph.end type="italics"/>
                  Inclinatio ejuſdem poſt
                    <lb/>
                  momentum temporis completum; adeoque angulus
                    <emph type="italics"/>
                  GPg
                    <emph.end type="italics"/>
                  Variatio
                    <lb/>
                  momentanea Inclinationis. </s>
                  <s>Eſt autem hic angulus
                    <emph type="italics"/>
                  GPg
                    <emph.end type="italics"/>
                  ad an­
                    <lb/>
                  gulum
                    <emph type="italics"/>
                  GTg,
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  TG
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PG
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Pp
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PG
                    <emph.end type="italics"/>
                  conjunctim. </s>
                  <s>Et prop­
                    <lb/>
                  terea ſi pro momento temporis ſubſtituatur hora; cum angulus
                    <lb/>
                    <emph type="italics"/>
                  GTg
                    <emph.end type="italics"/>
                  (per Propoſit. </s>
                  <s>xxx.) ſit ad angulum 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  . </s>
                  <s>ut </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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