Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/118.jpg" pagenum="90"/>
                    <arrow.to.target n="note66"/>
                  culum tertium
                    <emph type="italics"/>
                  EMF
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  c.
                    <emph.end type="italics"/>
                  Et compleatur Figura
                    <emph type="italics"/>
                  ABC def
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                  ſimi­
                    <lb/>
                  lis & æqualis Figuræ
                    <emph type="italics"/>
                  abcDEF.
                    <emph.end type="italics"/>
                  Dico factum. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note66"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Agatur enim
                    <emph type="italics"/>
                  Fc
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  aD
                    <emph.end type="italics"/>
                  occurrens in
                    <emph type="italics"/>
                  n,
                    <emph.end type="italics"/>
                  & jungantur
                    <emph type="italics"/>
                  aG, bG,
                    <lb/>
                  QG, QD, PD.
                    <emph.end type="italics"/>
                  Ex conſtructione eſt angulus
                    <emph type="italics"/>
                  EaD
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                  æqualis an­
                    <lb/>
                  gulo
                    <emph type="italics"/>
                  CAB,
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                  & angulus
                    <lb/>
                    <figure id="id.039.01.118.1.jpg" xlink:href="039/01/118/1.jpg" number="65"/>
                    <figure id="id.039.01.118.2.jpg" xlink:href="039/01/118/2.jpg" number="66"/>
                    <lb/>
                    <emph type="italics"/>
                  acF
                    <emph.end type="italics"/>
                  æqualis angulo
                    <lb/>
                    <emph type="italics"/>
                  ACB,
                    <emph.end type="italics"/>
                  adeoque trian­
                    <lb/>
                  gulum
                    <emph type="italics"/>
                  anc
                    <emph.end type="italics"/>
                  triangulo
                    <lb/>
                    <emph type="italics"/>
                  ABC
                    <emph.end type="italics"/>
                  æquiangulum. </s>
                  <s>
                    <lb/>
                  Ergo angulus
                    <emph type="italics"/>
                  anc
                    <emph.end type="italics"/>
                  ſeu
                    <lb/>
                    <emph type="italics"/>
                  FnD
                    <emph.end type="italics"/>
                  angulo
                    <emph type="italics"/>
                  ABC,
                    <emph.end type="italics"/>
                    <lb/>
                  adeoque angulo
                    <emph type="italics"/>
                  FbD
                    <emph.end type="italics"/>
                    <lb/>
                  æqualis eſt; & propter­
                    <lb/>
                  ea punctum
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  incidit in
                    <lb/>
                  punctum
                    <emph type="italics"/>
                  b.
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                  Porro an­
                    <lb/>
                  gulus
                    <emph type="italics"/>
                  GPQ,
                    <emph.end type="italics"/>
                  qui di­
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                  midius eſt anguli ad
                    <lb/>
                  centrum
                    <emph type="italics"/>
                  GPD,
                    <emph.end type="italics"/>
                  æqua­
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                  lis eſt angulo ad cir­
                    <lb/>
                  cumferentiam
                    <emph type="italics"/>
                  GaD
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  & angulus
                    <emph type="italics"/>
                  GQP,
                    <emph.end type="italics"/>
                  qui
                    <lb/>
                  dimidius eſt anguli ad
                    <lb/>
                  centrum
                    <emph type="italics"/>
                  GQD,
                    <emph.end type="italics"/>
                  æ­
                    <lb/>
                  qualis eſt complemen­
                    <lb/>
                  to ad duos rectos an­
                    <lb/>
                  guli ad circumferenti­
                    <lb/>
                  am
                    <emph type="italics"/>
                  GbD,
                    <emph.end type="italics"/>
                  adeoque æ­
                    <lb/>
                  qualis angulo
                    <emph type="italics"/>
                  Gba
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  funtQ.E.I.eo triangu­
                    <lb/>
                  la
                    <emph type="italics"/>
                  GPQ, Gab
                    <emph.end type="italics"/>
                  ſimi­
                    <lb/>
                  lia; &
                    <emph type="italics"/>
                  Ga
                    <emph.end type="italics"/>
                  eſt ad
                    <emph type="italics"/>
                  ab
                    <emph.end type="italics"/>
                    <lb/>
                  ut
                    <emph type="italics"/>
                  GP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  ; id eſt
                    <lb/>
                  (ex conſtructione) ut
                    <lb/>
                    <emph type="italics"/>
                  Ga
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AB.
                    <emph.end type="italics"/>
                  Æquan­
                    <lb/>
                  tur itaque
                    <emph type="italics"/>
                  ab
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ; & propterea triangula
                    <emph type="italics"/>
                  abc, ABC,
                    <emph.end type="italics"/>
                  quæ mo­
                    <lb/>
                  do ſimilia eſſe probavimus, ſunt etiam æqualia. </s>
                  <s>Unde, cum tan­
                    <lb/>
                  gant inſuper trianguli
                    <emph type="italics"/>
                  DEF
                    <emph.end type="italics"/>
                  anguli
                    <emph type="italics"/>
                  D, E, F
                    <emph.end type="italics"/>
                  trianguli
                    <emph type="italics"/>
                  abc
                    <emph.end type="italics"/>
                  latera
                    <lb/>
                    <emph type="italics"/>
                  ab, ac, bc
                    <emph.end type="italics"/>
                  reſpective, compleri poteſt Figura
                    <emph type="italics"/>
                  ABCdef
                    <emph.end type="italics"/>
                  Figuræ
                    <lb/>
                    <emph type="italics"/>
                  abc DEF
                    <emph.end type="italics"/>
                  ſimilis & æqualis, atque eam complendo ſolvetur Pro­
                    <lb/>
                  blema.
                    <emph type="italics"/>
                  q.E.F.
                    <emph.end type="italics"/>
                  </s>
                </p>
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