Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/260.jpg" pagenum="232"/>
                    <arrow.to.target n="note208"/>
                  Medio reſiſtente aſcendendo poſſit amittere, ad tempus quo velo­
                    <lb/>
                  citatem eandem in ſpatio non reſiſtente aſcendendo poſſet amit­
                    <lb/>
                  tere, ut arcus
                    <emph type="italics"/>
                  At
                    <emph.end type="italics"/>
                  ad ejus tangentem
                    <emph type="italics"/>
                  Ap.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note208"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  6. Hinc ex dato tempore datur ſpatium aſcenſu vel de­
                    <lb/>
                  ſcenſu deſcriptum. </s>
                  <s>Nam corporis in infinitum deſcendentis datur
                    <lb/>
                  velocitas maxima, per Corol. </s>
                  <s>2, & 3, Theor. </s>
                  <s>VI, Lib. </s>
                  <s>11; indeque
                    <lb/>
                  datur tempus quo corpus velocitatem illam in ſpatio non reſiſtente
                    <lb/>
                  cadendo poſſet acquirere. </s>
                  <s>Et ſumendo Sectorem
                    <emph type="italics"/>
                  ADT
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  ADt
                    <emph.end type="italics"/>
                    <lb/>
                  ad triangulum
                    <emph type="italics"/>
                  ADC
                    <emph.end type="italics"/>
                  in ratione temporis dati ad tempus modo
                    <lb/>
                  inventum; dabitur tum velocitas
                    <emph type="italics"/>
                  AP
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  Ap,
                    <emph.end type="italics"/>
                  tum area
                    <emph type="italics"/>
                  ABNK
                    <emph.end type="italics"/>
                    <lb/>
                  vel
                    <emph type="italics"/>
                  ABnk,
                    <emph.end type="italics"/>
                  quæ eſt ad ſectorem
                    <emph type="italics"/>
                  ADT
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  ADt
                    <emph.end type="italics"/>
                  ut ſpatium quæ­
                    <lb/>
                  ſitum ad ſpatium quod tempore dato, cum velocitate illa maxima
                    <lb/>
                  jam ante inventa, uniformiter deſcribi poteſt. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  7. Et regrediendo, ex dato aſcenſus vel deſcenſus ſpatio
                    <lb/>
                    <emph type="italics"/>
                  ABnk
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  ABNK,
                    <emph.end type="italics"/>
                  dabitur tempus
                    <emph type="italics"/>
                  ADt
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  ADT.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO X. PROBLEMA III.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Tendat uniformis vis gravitatis directe ad planum Horizontis,
                    <lb/>
                  ſitque reſiſtentia ut Medii denſitas & quadratum velocitatis
                    <lb/>
                  conjunctim: requiritur tum Medii denſitas in locis ſingulis,
                    <lb/>
                  quæ faciat ut corpus in data quavis linea curva moveatur,
                    <lb/>
                  tum corporis velocitas & Medii reſiſtentia in locis ſingulis.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Sit
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  planum illud pla­
                    <lb/>
                    <figure id="id.039.01.260.1.jpg" xlink:href="039/01/260/1.jpg" number="153"/>
                    <lb/>
                  no Schematis perpendicu­
                    <lb/>
                  lare;
                    <emph type="italics"/>
                  PFHQ
                    <emph.end type="italics"/>
                  linea curva
                    <lb/>
                  plano huic occurrens in
                    <lb/>
                  punctis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                    <expan abbr="q;">que</expan>
                  G, H, I, K
                    <emph.end type="italics"/>
                    <lb/>
                  loca quatuor corporis in hac
                    <lb/>
                  curva ab
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  pergentis;
                    <lb/>
                  &
                    <emph type="italics"/>
                  GB, HC, ID, KE
                    <emph.end type="italics"/>
                  or­
                    <lb/>
                  dinatæ quatuor parallelæ ab
                    <lb/>
                  his punctis ad horizontem
                    <lb/>
                  demiſſæ & lineæ horizontali
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  ad puncta
                    <emph type="italics"/>
                  B, C, D, E
                    <emph.end type="italics"/>
                  inſiſten­
                    <lb/>
                  tes; & ſint
                    <emph type="italics"/>
                  BC, CD, DE
                    <emph.end type="italics"/>
                  diſtantiæ Ordinatarum inter ſe æqua­
                    <lb/>
                  les. </s>
                  <s>A punctis
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  ducantur rectæ
                    <emph type="italics"/>
                  GL, HN
                    <emph.end type="italics"/>
                  curvam tan­
                    <lb/>
                  gentes in
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  H,
                    <emph.end type="italics"/>
                  & Ordinatis
                    <emph type="italics"/>
                  CH, DI
                    <emph.end type="italics"/>
                  ſurſum productis occur­
                    <lb/>
                  rentes in
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  N,
                    <emph.end type="italics"/>
                  & compleatur parallelogrammum
                    <emph type="italics"/>
                  HCDM.
                    <emph.end type="italics"/>
                  </s>
                </p>
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            </subchap1>
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