Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/234.jpg" pagenum="206"/>
                    <arrow.to.target n="note182"/>
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                <p type="margin">
                  <s>
                    <margin.target id="note182"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XCVI. THEOREMA L.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Iiſdem poſitis & quod motus ante incidentiam velocior ſit quam
                    <lb/>
                  poſtea: dico quod corpus, inclinando lineam incidentiæ, refle­
                    <lb/>
                  ctetur tandem, & angulus reflexionis fiet æqualis angulo inci­
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                  dentiæ.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam concipe corpus inter parallela plana
                    <emph type="italics"/>
                  Aa, Bb, Cc,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>de­
                    <lb/>
                  ſcribere arcus Parabolicos, ut ſupra; ſintque arcus illi
                    <emph type="italics"/>
                  HP, PQ,
                    <lb/>
                  QR,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>Et ſit ea lineæ incidentiæ
                    <emph type="italics"/>
                  GH
                    <emph.end type="italics"/>
                  obliquitas ad planum pri­
                    <lb/>
                  mum
                    <emph type="italics"/>
                  Aa,
                    <emph.end type="italics"/>
                  ut ſinus incidentiæ ſit ad radium circuli, cujus eſt ſinus,
                    <lb/>
                  in ea ratione quam habet idem ſinus incidentiæ ad ſinum emer­
                    <lb/>
                  gentiæ ex plano
                    <emph type="italics"/>
                  Dd,
                    <emph.end type="italics"/>
                  in ſpatium
                    <emph type="italics"/>
                  DdeE:
                    <emph.end type="italics"/>
                  & ob ſinum emergen­
                    <lb/>
                  tiæ jam factum æqualem radio, angulus emergentiæ erit rectus, ad­
                    <lb/>
                  eoque linea emergentiæ coincidet cum plano
                    <emph type="italics"/>
                  Dd.
                    <emph.end type="italics"/>
                  Perveniat cor­
                    <lb/>
                  pus ad hoc planum in puncto
                    <emph type="italics"/>
                  R
                    <emph.end type="italics"/>
                  ; & quoniam linea emergentiæ
                    <lb/>
                  coincidit cum eodem
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                    <figure id="id.039.01.234.1.jpg" xlink:href="039/01/234/1.jpg" number="136"/>
                    <lb/>
                  plano, perſpicuum eſt
                    <lb/>
                  quod corpus non po­
                    <lb/>
                  teſt ultra pergere ver­
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                  ſus planum
                    <emph type="italics"/>
                  Ee.
                    <emph.end type="italics"/>
                  Sed
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                  nec poteſt idem perge­
                    <lb/>
                  re in linea emergentiæ
                    <lb/>
                    <emph type="italics"/>
                  Rd,
                    <emph.end type="italics"/>
                  propterea quod
                    <lb/>
                  perpetuo attrahitur vel impellitur verſus Medium incidentiæ. </s>
                  <s>Re­
                    <lb/>
                  vertetur itaQ.E.I.ter plana
                    <emph type="italics"/>
                  Cc, Dd,
                    <emph.end type="italics"/>
                  deſcribendo arcum Parabolæ
                    <lb/>
                    <emph type="italics"/>
                  QRq,
                    <emph.end type="italics"/>
                  cujus vertex principalis (juxta demonſtrata
                    <emph type="italics"/>
                  Galilæi
                    <emph.end type="italics"/>
                  ) eſt in
                    <lb/>
                    <emph type="italics"/>
                  R
                    <emph.end type="italics"/>
                  ; ſecabit planum
                    <emph type="italics"/>
                  Cc
                    <emph.end type="italics"/>
                  in eodem angulo in
                    <emph type="italics"/>
                  q,
                    <emph.end type="italics"/>
                  ac prius in
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  ; dein
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                  pergendo in arcubus parabolicis
                    <emph type="italics"/>
                  qp, ph,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>arcubus prioribus
                    <lb/>
                    <emph type="italics"/>
                  QP, PH
                    <emph.end type="italics"/>
                  ſimilibus & æqualibus, ſecabit reliqua plana in iiſdem
                    <lb/>
                  angulis in
                    <emph type="italics"/>
                  p, h,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>ac prius in
                    <emph type="italics"/>
                  P, H,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>emergetque tandem ea­
                    <lb/>
                  dem obliquitate in
                    <emph type="italics"/>
                  h,
                    <emph.end type="italics"/>
                  qua incidit in
                    <emph type="italics"/>
                  H.
                    <emph.end type="italics"/>
                  Concipe jam planorum
                    <lb/>
                    <emph type="italics"/>
                  Aa, Bb, Cc, Dd, Ee,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>intervalla in infinitum minui & nume­
                    <lb/>
                  rum augeri, eo ut actio attractionis vel impulſus ſecundum legem
                    <lb/>
                  quamcunque aſſignatam continua reddatur; & angulus emergen­
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                  tiæ ſemper angulo incidentiæ æqualis exiſtens, eidem etiamnum
                    <lb/>
                  manebit æqualis.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
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