Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/258.jpg" pagenum="230"/>
                    <arrow.to.target n="note206"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note206"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
                    <emph.end type="italics"/>
                  2. Agatur
                    <emph type="italics"/>
                  DQV
                    <emph.end type="italics"/>
                  abſcindens tum ſectoris
                    <emph type="italics"/>
                  DAV,
                    <emph.end type="italics"/>
                  tum tri­
                    <lb/>
                  anguli
                    <emph type="italics"/>
                  DAQ
                    <emph.end type="italics"/>
                  particulas quam minimas
                    <emph type="italics"/>
                  TDV
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  PDQ
                    <emph.end type="italics"/>
                  ; & e­
                    <lb/>
                  runt hæ particulæ ad invicem ut
                    <emph type="italics"/>
                  DTQ
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                    <expan abbr="DPq.">DPque</expan>
                    <emph.end type="italics"/>
                  id eſt (ſi
                    <emph type="italics"/>
                  TX
                    <emph.end type="italics"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  AP
                    <emph.end type="italics"/>
                  parallelæ ſint) ut
                    <emph type="italics"/>
                    <expan abbr="DXq.">DXque</expan>
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                    <expan abbr="DAq.">DAque</expan>
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                    <expan abbr="TXq.">TXque</expan>
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                    <expan abbr="APq.">APque</expan>
                    <emph.end type="italics"/>
                  &
                    <lb/>
                  diviſim ut
                    <emph type="italics"/>
                  DXq-TXq
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                    <expan abbr="DAq-APq.">DAq-APque</expan>
                    <emph.end type="italics"/>
                  Sed ex natura
                    <lb/>
                  Hyperbolæ
                    <emph type="italics"/>
                  DXq-TXq
                    <emph.end type="italics"/>
                  eſt
                    <emph type="italics"/>
                  ADq,
                    <emph.end type="italics"/>
                  & per Hypotheſin
                    <emph type="italics"/>
                  APq
                    <emph.end type="italics"/>
                    <lb/>
                  eſt
                    <emph type="italics"/>
                  ADXAK.
                    <emph.end type="italics"/>
                  Ergo particulæ ſunt ad invicem ut
                    <emph type="italics"/>
                  ADq
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <figure id="id.039.01.258.1.jpg" xlink:href="039/01/258/1.jpg" number="152"/>
                    <lb/>
                    <emph type="italics"/>
                  ADq-ADXAK
                    <emph.end type="italics"/>
                  ; id eſt, ut
                    <emph type="italics"/>
                  AD
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AD-AK
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  CK:
                    <emph.end type="italics"/>
                    <lb/>
                  ideoque ſectoris particula
                    <emph type="italics"/>
                  TDV
                    <emph.end type="italics"/>
                  eſt (
                    <emph type="italics"/>
                  PDQXAC/CK
                    <emph.end type="italics"/>
                  ), atque adeo ob
                    <lb/>
                  datas
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  AD,
                    <emph.end type="italics"/>
                  ut (
                    <emph type="italics"/>
                  PQ/CK
                    <emph.end type="italics"/>
                  ), id eſt, ut incrementum velocitatis
                    <lb/>
                  directe utque vis generans incrementum inverſe, atque adeo ut par­
                    <lb/>
                  ticula temporis incremento reſpondens. </s>
                  <s>Et componendo ſit ſum
                    <lb/>
                  ma particularum temporis, quibus omnes velocitatis
                    <emph type="italics"/>
                  AP
                    <emph.end type="italics"/>
                  particulæ </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
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