Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/144.jpg" pagenum="116"/>
                    <arrow.to.target n="note92"/>
                  porum velocitates in
                    <emph type="italics"/>
                  E
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  K
                    <emph.end type="italics"/>
                  & eodem argumento ſemper reperi­
                    <lb/>
                  entur æquales in ſubſequentibus æqualibus diſtantiis.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note91"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note92"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Sed & eodem argumento corpora æquivelocia & æqualiter a cen­
                    <lb/>
                  tro diſtantia, in aſcenſu ad æquales diſtantias æqualiter retarda­
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                  buntur.
                    <emph type="italics"/>
                  Q.E.D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  1. Hinc ſi corpus vel funipendulum oſcilletur, vel im­
                    <lb/>
                  pedimento quovis politiſſimo & perfecte lubrico cogatur in li­
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                  nea curva moveri, & corpus aliud recta aſcendat vel deſcendat,
                    <lb/>
                  ſintque velocitates eorum in eadem quacunque altitudine æquales:
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                  erunt velocitates eorum in aliis quibuſcunque æqualibus altitudi­
                    <lb/>
                  nibus æquales. </s>
                  <s>NamQ.E.I.pedimento vaſis abſolute lubrici idem
                    <lb/>
                  præſtatur quod vi tranſverſa
                    <emph type="italics"/>
                  NT.
                    <emph.end type="italics"/>
                  Corpus eo non retardatur,
                    <lb/>
                  non acceleratur, ſed tantum cogitur de curſu rectilineo diſcedere. </s>
                </p>
                <figure id="id.039.01.144.1.jpg" xlink:href="039/01/144/1.jpg" number="90"/>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Hinc etiam ſi quantitas P ſit maxima a centro diſtan­
                    <lb/>
                  tia, ad quam corpus vel oſcillans vel in Trajectoria quacunque re­
                    <lb/>
                  volvens, deque quovis Trajectoriæ puncto, ea quam ibi habet
                    <lb/>
                  velocitate ſurſum projectum aſcendere poſſit; ſitque quantitas A
                    <lb/>
                  diſtantia corporis a centro in alio quovis Orbitæ puncto, & vis
                    <lb/>
                  centripeta ſemper ſit ut ipſius A dignitas quælibet A
                    <emph type="sup"/>
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  -1
                    <emph.end type="sup"/>
                  , cujus
                    <lb/>
                  Index
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  -1 eſt numerus quilibet
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  unitate diminutus; velocitas
                    <lb/>
                  corporis in omni altitudine A erit ut √P
                    <emph type="sup"/>
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                    <emph.end type="sup"/>
                  -A
                    <emph type="sup"/>
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                    <emph.end type="sup"/>
                  , atque adeo da­
                    <lb/>
                  tur. </s>
                  <s>Namque velocitas recta aſcendentis ac deſcendentis (per Prop. </s>
                  <s>
                    <lb/>
                  XXXIX) eſt in hac ipſa ratione. </s>
                </p>
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