Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <arrow.to.target n="note24"/>
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                <p type="margin">
                  <s>
                    <margin.target id="note24"/>
                  DE MOTU
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                  CORPORUM</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  SECTIO III.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  De motu Corporum in Conicis Sectionibus excentricis.
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                    <emph.end type="center"/>
                  </s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XI. PROBLEMA VI.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Revolvatur corpus in Ellipſi: requiritur Lex vis centripetæ tenden­
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                  tis ad umbilicum Ellipſeos.
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                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Eſto Ellipſeos umbilicus
                    <emph type="italics"/>
                  S.
                    <emph.end type="italics"/>
                  Agatur
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  ſecans Ellipſeos
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                  tum diametrum
                    <emph type="italics"/>
                  DK
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  E,
                    <emph.end type="italics"/>
                  tum ordinatim applicatam
                    <emph type="italics"/>
                  Qv
                    <emph.end type="italics"/>
                  in
                    <lb/>
                    <emph type="italics"/>
                  x,
                    <emph.end type="italics"/>
                  & compleatur parallelogrammum
                    <emph type="italics"/>
                  QxPR.
                    <emph.end type="italics"/>
                  Patet
                    <emph type="italics"/>
                  EP
                    <emph.end type="italics"/>
                  æqua­
                    <lb/>
                  lem eſſe ſemiaxi ma­
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                    <figure id="id.039.01.076.1.jpg" xlink:href="039/01/076/1.jpg" number="21"/>
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                  jori
                    <emph type="italics"/>
                  AC,
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                  eo quod
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                  acta ab altero Ellip­
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                  ſeos umbilico
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  li­
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                  nea
                    <emph type="italics"/>
                  HI
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                  ipſi
                    <emph type="italics"/>
                  EC
                    <emph.end type="italics"/>
                  pa­
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                  rallela, (ob æquales
                    <lb/>
                    <emph type="italics"/>
                  CS, CH
                    <emph.end type="italics"/>
                  ) æquentur
                    <lb/>
                    <emph type="italics"/>
                  ES, EI,
                    <emph.end type="italics"/>
                  adeo ut
                    <emph type="italics"/>
                  EP
                    <emph.end type="italics"/>
                    <lb/>
                  ſemiſumma ſit ipſa­
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                  rum
                    <emph type="italics"/>
                  PS, PI,
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                  id eſt
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                  (ob parallelas
                    <emph type="italics"/>
                  HI,
                    <lb/>
                  PR
                    <emph.end type="italics"/>
                  & angulos æqua­
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                  les
                    <emph type="italics"/>
                  IPR, HPZ
                    <emph.end type="italics"/>
                  )
                    <lb/>
                  ipſarum
                    <emph type="italics"/>
                  PS, PH,
                    <emph.end type="italics"/>
                    <lb/>
                  quæ
                    <expan abbr="cõjunctim">conjunctim</expan>
                  axem
                    <lb/>
                  totum 2
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  adæ­
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                  quant. </s>
                  <s>Ad
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  de­
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                  mittatur perpendicularis
                    <emph type="italics"/>
                  QT,
                    <emph.end type="italics"/>
                  & Ellipſeos latere recto principali
                    <lb/>
                  (ſeu (2
                    <emph type="italics"/>
                  BC quad./AC
                    <emph.end type="italics"/>
                  )) dicto
                    <emph type="italics"/>
                  L,
                    <emph.end type="italics"/>
                  erit
                    <emph type="italics"/>
                  LXQR
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  LXPv
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  QR
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <emph type="italics"/>
                  Pv,
                    <emph.end type="italics"/>
                  id eſt ut
                    <emph type="italics"/>
                  PE
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  ; &
                    <emph type="italics"/>
                  LXPv
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  GvP
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <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"/>
                  PC quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  CD quad
                    <emph.end type="italics"/>
                  ; & (per Corol. </s>
                  <s>
                    <lb/>
                  2 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,
                    <lb/>
                  eſt 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"/>
                  QT quad.
                    <emph.end type="italics"/>
                    <lb/>
                  ut
                    <emph type="italics"/>
                  EP quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PF quad,
                    <emph.end type="italics"/>
                  id eſt ut
                    <emph type="italics"/>
                  CA quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PF quad.
                    <emph.end type="italics"/>
                  ſive (per
                    <lb/>
                  Lem XII.) ut
                    <emph type="italics"/>
                  CD quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  CB quad.
                    <emph.end type="italics"/>
                  Et conjunctis his omnibus ratio­
                    <lb/>
                  nibus,
                    <emph type="italics"/>
                  LXQR
                    <emph.end type="italics"/>
                  fit ad
                    <emph type="italics"/>
                  QT quad.
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                    <expan abbr="ACXLXPCq.XCDq.">ACXLXPCq.XCDque</expan>
                    <emph.end type="italics"/>
                  ſeu 2
                    <emph type="italics"/>
                    <expan abbr="CBq.">CBque</expan>
                    <lb/>
                    <expan abbr="XPCq.XCDq.">XPCq.XCDque</expan>
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                    <expan abbr="PCXGvXCDq.XCBq.">PCXGvXCDq.XCBque</expan>
                    <emph.end type="italics"/>
                  ſive ut 2
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Gv.
                    <emph.end type="italics"/>
                  </s>
                </p>
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