Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/078.jpg" pagenum="50"/>
                    <arrow.to.target n="note26"/>
                    <emph type="italics"/>
                  Gv
                    <emph.end type="italics"/>
                  ; &
                    <emph type="italics"/>
                  GvP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Qv quad.
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                    <expan abbr="PCq.">PCque</expan>
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  CDq
                    <emph.end type="italics"/>
                  ; & (per Corol. </s>
                  <s>2.
                    <lb/>
                  Lem. </s>
                  <s>VII.)
                    <emph type="italics"/>
                  Qv quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Qx quad.
                    <emph.end type="italics"/>
                  punctis
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  coeuntibus fit
                    <lb/>
                  ratio æqualitatis; &
                    <emph type="italics"/>
                  Qx quad.
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  Qv quad.
                    <emph.end type="italics"/>
                  eſt ad
                    <emph type="italics"/>
                  QTq,
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  EPq,
                    <emph.end type="italics"/>
                    <lb/>
                  ad
                    <emph type="italics"/>
                  PFq,
                    <emph.end type="italics"/>
                  id eſt ut
                    <emph type="italics"/>
                  CAq,
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PFq,
                    <emph.end type="italics"/>
                  ſive (per Lem. </s>
                  <s>XII.) ut
                    <emph type="italics"/>
                  CDq,
                    <emph.end type="italics"/>
                    <lb/>
                  ad
                    <emph type="italics"/>
                  CBq:
                    <emph.end type="italics"/>
                  & conjunctis his omnibus rationibus
                    <emph type="italics"/>
                  LXQR
                    <emph.end type="italics"/>
                  fit ad
                    <lb/>
                    <emph type="italics"/>
                    <expan abbr="QTq.">QTque</expan>
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  ACXLXPCqXCDq
                    <emph.end type="italics"/>
                  ſeu 2
                    <emph type="italics"/>
                  CBqXPCqXCDq
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <emph type="italics"/>
                  PCXGvXCDqXCB quad.
                    <emph.end type="italics"/>
                  ſive ut 2
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Gv.
                    <emph.end type="italics"/>
                  Sed punctis
                    <lb/>
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  coeuntibus æquantur 2
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Gv.
                    <emph.end type="italics"/>
                  Ergo & his propor­
                    <lb/>
                  tionalia
                    <emph type="italics"/>
                  LXQR
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                    <expan abbr="QTq.">QTque</expan>
                    <emph.end type="italics"/>
                  æquantur. </s>
                  <s>Ducantur hæc æqualia in
                    <lb/>
                  (
                    <emph type="italics"/>
                  SPq/QR
                    <emph.end type="italics"/>
                  ). & fiet
                    <emph type="italics"/>
                    <expan abbr="LXSPq.">LXSPque</expan>
                    <emph.end type="italics"/>
                  æquale (
                    <emph type="italics"/>
                  SPqXQTq/QR
                    <emph.end type="italics"/>
                  ). Ergo (per Corol. </s>
                  <s>I
                    <lb/>
                    <figure id="id.039.01.078.1.jpg" xlink:href="039/01/078/1.jpg" number="22"/>
                    <lb/>
                  & 5 Prop. </s>
                  <s>VI.) vis centripeta reciproce eſt ut
                    <emph type="italics"/>
                  LXSPq,
                    <emph.end type="italics"/>
                  id eſt
                    <lb/>
                  reciproce in ratione duplicata diſtantiæ
                    <emph type="italics"/>
                  SP.
                    <expan abbr="q.">que</expan>
                  E. I.
                    <emph.end type="italics"/>
                  </s>
                </p>
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            </subchap1>
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        </body>
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