Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="margin">
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                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  SECTIO III.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  De Motu Corporum quibus reſiſtitur partim in ratione
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                  velocitatis, partim in ejuſdem ratione duplicata.
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                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XI. THEOREMA VIII.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Si Corpori reſiſtitur partim in ratione velocitatis, partim in ve­
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                  locitatis ratione duplicata, & idem ſola vi inſita in Medio ſi­
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                  milari movetur, ſumantur autem tempora in progreſſione Arith­
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                  metica: quantitates velocitatibus reciproce proportionales, datâ
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                  quadam quantitate auctæ, erunt in progreſſione Geometrica.
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                  </s>
                </p>
                <p type="main">
                  <s>Centro
                    <emph type="italics"/>
                  C,
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                  Aſymptotis rectan­
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                    <figure id="id.039.01.273.1.jpg" xlink:href="039/01/273/1.jpg" number="160"/>
                    <lb/>
                  gulis
                    <emph type="italics"/>
                  CADd
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                  &
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                  CH,
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                  deſcribatur
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                  Hyperbola
                    <emph type="italics"/>
                  BEeS,
                    <emph.end type="italics"/>
                  & Aſympto­
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                  to
                    <emph type="italics"/>
                  CH
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                  parallelæ ſint
                    <emph type="italics"/>
                  AB, DE,
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                  de.
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                  In Aſymptoto
                    <emph type="italics"/>
                  CD
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                  dentur
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                  puncta
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                  A, G:
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                  Et ſi tempus ex­
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                  ponatur per aream Hyperbolicam
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                    <emph type="italics"/>
                  ABED
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                  uniformiter creſcentem;
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                  dico quod velocitas exponi poteſt
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                  per longitudinem
                    <emph type="italics"/>
                  DF,
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                  cujus reci­
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                  proca
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                  GD
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                  una cum data
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                  CG
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                  com­
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                  ponat longitudinem
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  in progreſſione Geometrica creſcentem. </s>
                </p>
                <p type="main">
                  <s>Sit enim areola
                    <emph type="italics"/>
                  DEed
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                  datum temporis incrementum quam
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                  minimum, & erit
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                  Dd
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                  reciproce ut
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                  DE,
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                  adeoQ.E.D.recte ut
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                    <emph type="italics"/>
                  CD.
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                  Ipſius autem (1/
                    <emph type="italics"/>
                  G-D
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                  ) decrementum, quod (per hujus Lem. </s>
                  <s>11)
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                  eſt (
                    <emph type="italics"/>
                  Dd/GDq
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                  ), erit ut (
                    <emph type="italics"/>
                  CD/GDq
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                  ) ſeu (
                    <emph type="italics"/>
                  CG+GD/GDq
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                  ), id eſt, ut (1/
                    <emph type="italics"/>
                  GD
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                  )+(
                    <emph type="italics"/>
                  CG/GDq
                    <emph.end type="italics"/>
                  ).
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                  Igitur tempore
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                  ABED
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                  peradditionem datarum particularum
                    <emph type="italics"/>
                  ED de
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                    <lb/>
                  uniformiter creſcente, decreſcit (1/
                    <emph type="italics"/>
                  GD
                    <emph.end type="italics"/>
                  ) in eadem ratione cum veloci­
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                  tate. </s>
                  <s>Nam decrementum velocitatis eſt ut reſiſtentia, hoc eſt (per
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                  Hypotheſin) ut ſumma duarum quantitatum, quarum una eſt ut </s>
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