Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/136.jpg" pagenum="108"/>
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                <p type="margin">
                  <s>
                    <margin.target id="note84"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXIV. THEOREMA X.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Si Figura
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                  BED
                    <emph type="italics"/>
                  Parabola eſt, dico
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                    <lb/>
                    <figure id="id.039.01.136.1.jpg" xlink:href="039/01/136/1.jpg" number="83"/>
                    <lb/>
                    <emph type="italics"/>
                  quod corporis cadentis Veloci­
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                  tas in loco quovis
                    <emph.end type="italics"/>
                  C
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                  æqualis eſt
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                  velocitati qua corpus centro
                    <emph.end type="italics"/>
                  B
                    <lb/>
                    <emph type="italics"/>
                  dimidio intervalli ſui
                    <emph.end type="italics"/>
                  BC
                    <emph type="italics"/>
                  Cir­
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                  culum uniformiter deſcribere
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                  potest.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam corporis Parabolam
                    <lb/>
                    <emph type="italics"/>
                  RPB
                    <emph.end type="italics"/>
                  circa centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  deſcri­
                    <lb/>
                  bentis velocitas in loco quovis
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                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  (per Corol. </s>
                  <s>7. Prop. </s>
                  <s>XVI) æ­
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                  qualis eſt velocitati corporis di­
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                  midio intervalli
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  Circulum cir­
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                  ca idem centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  uniformiter
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                  deſcribentis. </s>
                  <s>Minuatur Parabolæ
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                  latitudo
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  in infinitum eo, ut
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                  arcus Parabolicus
                    <emph type="italics"/>
                  PfB
                    <emph.end type="italics"/>
                  cum rec­
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                  ta
                    <emph type="italics"/>
                  CB,
                    <emph.end type="italics"/>
                  centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  cum vertice
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                    <lb/>
                  & intervallum
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  cum intervallo
                    <emph type="italics"/>
                  BC
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                  coincidat, & conſtabit Pro­
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                  poſitio.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXV. THEOREMA XI.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Iiſdem poſitis, dico quod area Figuræ
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                  DES,
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                  radio indefinito
                    <emph.end type="italics"/>
                  SD
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                  de­
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                  ſcripta, æqualis ſit areæ quam corpus, radio dimidium lateris recti
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                  Figuræ
                    <emph.end type="italics"/>
                  DES
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                  æquante, circa centrum
                    <emph.end type="italics"/>
                  S
                    <emph type="italics"/>
                  uniformiter gyrando, eo­
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                  dem tempore deſcribere potest.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam concipe corpus
                    <emph type="italics"/>
                  C
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                  quam minima temporis particula lineo­
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                  lam
                    <emph type="italics"/>
                  Cc
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                  cadendo deſcribere, & interea corpus aliud
                    <emph type="italics"/>
                  K,
                    <emph.end type="italics"/>
                  uniformi­
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                  ter in Circulo
                    <emph type="italics"/>
                  OKk
                    <emph.end type="italics"/>
                  circa centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  gyrando, arcum
                    <emph type="italics"/>
                  Kk
                    <emph.end type="italics"/>
                  deſcri­
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                  bere. </s>
                  <s>Erigantur perpendicula
                    <emph type="italics"/>
                  CD, cd
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                  occurrentia Figuræ
                    <emph type="italics"/>
                  DES
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                    <lb/>
                  in
                    <emph type="italics"/>
                  D, d.
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                  Jungantur
                    <emph type="italics"/>
                  SD, Sd, SK, Sk
                    <emph.end type="italics"/>
                  & ducatur
                    <emph type="italics"/>
                  Dd
                    <emph.end type="italics"/>
                  axi
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                  oc­
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                  rens in
                    <emph type="italics"/>
                  T,
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                  & ad eam demittatur perpendiculum
                    <emph type="italics"/>
                  SY.
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                  </s>
                </p>
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