Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/124.jpg" pagenum="96"/>
                    <arrow.to.target n="note72"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note72"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Scholium.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Conſtrui etiam poteſt hoc Problema ut ſequitur. </s>
                  <s>Junctis
                    <emph type="italics"/>
                  FG,
                    <lb/>
                  GH, HI, FI
                    <emph.end type="italics"/>
                  produc
                    <emph type="italics"/>
                  GF
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  V,
                    <emph.end type="italics"/>
                  jungeque
                    <emph type="italics"/>
                  FH, IG,
                    <emph.end type="italics"/>
                  & angulis
                    <lb/>
                    <emph type="italics"/>
                  FGH, VFH
                    <emph.end type="italics"/>
                  fac angulos
                    <emph type="italics"/>
                  CAK, DAL
                    <emph.end type="italics"/>
                  æquales. </s>
                  <s>Concurrant
                    <lb/>
                    <emph type="italics"/>
                  AK, AL
                    <emph.end type="italics"/>
                  cum recta
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  K
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  L,
                    <emph.end type="italics"/>
                  & inde agantur
                    <emph type="italics"/>
                  KM, LN,
                    <emph.end type="italics"/>
                    <lb/>
                  quarum
                    <emph type="italics"/>
                  KM
                    <emph.end type="italics"/>
                  conſtituat angulum
                    <emph type="italics"/>
                  AKM
                    <emph.end type="italics"/>
                  æqualem angulo
                    <emph type="italics"/>
                  GHI,
                    <emph.end type="italics"/>
                    <lb/>
                  ſitque ad
                    <emph type="italics"/>
                  AK
                    <emph.end type="italics"/>
                  ut eſt
                    <emph type="italics"/>
                  HI
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  GH
                    <emph.end type="italics"/>
                  ; &
                    <emph type="italics"/>
                  LN
                    <emph.end type="italics"/>
                  conſtituat angulum
                    <lb/>
                    <emph type="italics"/>
                  ALN
                    <emph.end type="italics"/>
                  æqualem angulo
                    <emph type="italics"/>
                  FHI,
                    <emph.end type="italics"/>
                  ſitque ad
                    <emph type="italics"/>
                  AL
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  HI
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  FH.
                    <emph.end type="italics"/>
                  Du­
                    <lb/>
                  cantur autem
                    <emph type="italics"/>
                  AK, KM, AL, LN
                    <emph.end type="italics"/>
                  ad eas partes linearum
                    <emph type="italics"/>
                  AD,
                    <lb/>
                  AK, AL,
                    <emph.end type="italics"/>
                  ut literæ
                    <emph type="italics"/>
                  CAKMC, ALKA, DALND
                    <emph.end type="italics"/>
                  eodem
                    <lb/>
                  ordine cum literis
                    <emph type="italics"/>
                  FGHIF
                    <emph.end type="italics"/>
                  in orbem redeant; & act
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                  oc­
                    <lb/>
                  currat rectæ
                    <emph type="italics"/>
                  CE
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  i.
                    <emph.end type="italics"/>
                  Fac angulum
                    <emph type="italics"/>
                  iEP
                    <emph.end type="italics"/>
                  æqualem angulo
                    <emph type="italics"/>
                  IGF,
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.124.1.jpg" xlink:href="039/01/124/1.jpg" number="72"/>
                    <lb/>
                  ſitque
                    <emph type="italics"/>
                  PE
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Ei
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  FG
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  GI;
                    <emph.end type="italics"/>
                  & per
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  agatur
                    <emph type="italics"/>
                  PQf,
                    <emph.end type="italics"/>
                  quæ
                    <lb/>
                  cum recta
                    <emph type="italics"/>
                  ADE
                    <emph.end type="italics"/>
                  contineat angulum
                    <emph type="italics"/>
                  PQE
                    <emph.end type="italics"/>
                  æqualem angulo
                    <lb/>
                    <emph type="italics"/>
                  FIG,
                    <emph.end type="italics"/>
                  rectæque
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  occurrat in
                    <emph type="italics"/>
                  f,
                    <emph.end type="italics"/>
                  & jungatur
                    <emph type="italics"/>
                  fi.
                    <emph.end type="italics"/>
                  Agantur au­
                    <lb/>
                  rem
                    <emph type="italics"/>
                  PE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  ad eas partes linearum
                    <emph type="italics"/>
                  CE, PE,
                    <emph.end type="italics"/>
                  ut literarum
                    <lb/>
                    <emph type="italics"/>
                  PEiP
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  PEQP
                    <emph.end type="italics"/>
                  idem ſit ordo circularis qui literarum
                    <emph type="italics"/>
                  FGHIF,
                    <emph.end type="italics"/>
                    <lb/>
                  & ſi ſuper linea
                    <emph type="italics"/>
                  fi
                    <emph.end type="italics"/>
                  eodem quoque literarum ordine conſtituatur
                    <lb/>
                  Trapezium
                    <emph type="italics"/>
                  fghi
                    <emph.end type="italics"/>
                  Trapezio
                    <emph type="italics"/>
                  FGHI
                    <emph.end type="italics"/>
                  ſimile, & circumſcribatur Tra­
                    <lb/>
                  jectoria ſpecie data, ſolvetur Problema. </s>
                </p>
                <p type="main">
                  <s>Hactenus de Orbibus inveniendis. </s>
                  <s>Supereſt ut Motus corpo­
                    <lb/>
                  rum in Orbibus inventis determinemus. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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