Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <pb xlink:href="039/01/123.jpg" pagenum="95"/>
                <p type="main">
                  <s>In conſtructione Corollarii hujus poſtquam ducitur
                    <emph type="italics"/>
                  LK
                    <emph.end type="italics"/>
                  ſecans </s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note71"/>
                    <emph type="italics"/>
                  CE
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  i,
                    <emph.end type="italics"/>
                  producere licet
                    <emph type="italics"/>
                  iE
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  V,
                    <emph.end type="italics"/>
                  ut ſit
                    <emph type="italics"/>
                  EV
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Ei
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  FH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  HI,
                    <emph.end type="italics"/>
                    <lb/>
                  & agere
                    <emph type="italics"/>
                  Vf
                    <emph.end type="italics"/>
                  parallelam ipſi
                    <emph type="italics"/>
                  BD.
                    <emph.end type="italics"/>
                  Eodem recidit ſi centro
                    <emph type="italics"/>
                  i,
                    <emph.end type="italics"/>
                  in­
                    <lb/>
                  tervallo
                    <emph type="italics"/>
                  IH,
                    <emph.end type="italics"/>
                  deſcribatur circulus ſecans
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  X,
                    <emph.end type="italics"/>
                  & producatur
                    <lb/>
                    <emph type="italics"/>
                  iX
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Y,
                    <emph.end type="italics"/>
                  ut ſit
                    <emph type="italics"/>
                  iY
                    <emph.end type="italics"/>
                  æqualis
                    <emph type="italics"/>
                  IF,
                    <emph.end type="italics"/>
                  & agatur
                    <emph type="italics"/>
                  Yf
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  parallela. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note71"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>Problematis hujus ſolutiones alias
                    <emph type="italics"/>
                  Wrennus
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Walliſius
                    <emph.end type="italics"/>
                  olim ex­
                    <lb/>
                  cogitarunt. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXIX. PROBLEMA XXI.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Trajectoriam ſpecie datam deſcribere, quæ a rectis quatuor poſitione
                    <lb/>
                  datis in partes ſecabitur, ordine, ſpecie & proportione datas.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <figure id="id.039.01.123.1.jpg" xlink:href="039/01/123/1.jpg" number="70"/>
                <p type="main">
                  <s>Deſcribenda ſit Trajectoria
                    <lb/>
                    <figure id="id.039.01.123.2.jpg" xlink:href="039/01/123/2.jpg" number="71"/>
                    <lb/>
                    <emph type="italics"/>
                  fghi,
                    <emph.end type="italics"/>
                  quæ ſimilis ſit Lincæ curvæ
                    <lb/>
                    <emph type="italics"/>
                  FGHI,
                    <emph.end type="italics"/>
                  & cujus partes
                    <emph type="italics"/>
                  fg, gh, hi
                    <emph.end type="italics"/>
                    <lb/>
                  illius partibus
                    <emph type="italics"/>
                  FG, GH, HI
                    <emph.end type="italics"/>
                  ſi­
                    <lb/>
                  miles & proportionales, rectis
                    <lb/>
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  AD, AD
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  BD, BD
                    <emph.end type="italics"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  CE
                    <emph.end type="italics"/>
                  poſitione datis, prima pri­
                    <lb/>
                  mis, ſecunda ſecundis, tertia ter­
                    <lb/>
                  tiis interjaceant. </s>
                  <s>Actis rectis
                    <emph type="italics"/>
                  FG,
                    <lb/>
                  GH, HI, FI,
                    <emph.end type="italics"/>
                  deſcribatur (per
                    <lb/>
                  Lem. </s>
                  <s>XXVII.) Trapezium
                    <emph type="italics"/>
                  fghi
                    <emph.end type="italics"/>
                    <lb/>
                  quod ſit Trapezio
                    <emph type="italics"/>
                  FGHI
                    <emph.end type="italics"/>
                  ſimile & cujus anguli
                    <emph type="italics"/>
                  f, g, h, i
                    <emph.end type="italics"/>
                  tangant
                    <lb/>
                  rectas illas poſitione datas
                    <emph type="italics"/>
                  AB, AD, BD, CE,
                    <emph.end type="italics"/>
                  ſinguli ſingulas
                    <lb/>
                  dicto ordine. </s>
                  <s>Dein circa hoc Trapezium deſcribatur Trajectoria
                    <lb/>
                  curvæ Lineæ
                    <emph type="italics"/>
                  FGHI
                    <emph.end type="italics"/>
                  conſimilis. </s>
                </p>
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