Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
111
111
112
112
113
113
114
114
115
115
116
116
117
117
118
118
119
119
120
120
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/114.jpg" pagenum="86"/>
                    <arrow.to.target n="note62"/>
                  dem recta per medium omnium
                    <emph type="italics"/>
                  Eq, eQ, MK
                    <emph.end type="italics"/>
                  ; (per Lem. </s>
                  <s>XXIII)
                    <lb/>
                  & medium rectæ
                    <emph type="italics"/>
                  MK
                    <emph.end type="italics"/>
                  eſt centrum Sectionis. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note62"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXVII. PROBLEMA XIX.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Trajectoriam deſcribere quæ rectas quinque poſitione datas continget.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Dentur pofitione tangentes
                    <emph type="italics"/>
                  ABG, BCF, GCD, FDE, EA.
                    <emph.end type="italics"/>
                    <lb/>
                  Figuræ quadrilateræ ſub quatuor quibuſvis contentæ
                    <emph type="italics"/>
                  ABFE
                    <emph.end type="italics"/>
                  dia­
                    <lb/>
                  gonales
                    <emph type="italics"/>
                  AF, BE
                    <emph.end type="italics"/>
                  biſeca, & (per Corol. </s>
                  <s>3. Lem. </s>
                  <s>XXV) recta
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                    <lb/>
                  per puncta biſectionum acta tranſibit per centrum Trajectoriæ. </s>
                  <s>
                    <lb/>
                  Rurſus Figuræ quadrilateræ
                    <emph type="italics"/>
                  BGDF,
                    <emph.end type="italics"/>
                  ſub aliis quibuſvis quatuor
                    <lb/>
                    <figure id="id.039.01.114.1.jpg" xlink:href="039/01/114/1.jpg" number="60"/>
                    <lb/>
                  tangentibus contentæ, diagonales (ut ita dicam)
                    <emph type="italics"/>
                  BD, GF
                    <emph.end type="italics"/>
                  bi­
                    <lb/>
                  ſeca in
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Q:
                    <emph.end type="italics"/>
                  & recta
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  per puncta biſectionum acta tranſ­
                    <lb/>
                  ibit per centrum Trajectoriæ. </s>
                  <s>Dabitur ergo centrum in concurſu bi­
                    <lb/>
                  ſecantium. </s>
                  <s>Sit illud
                    <emph type="italics"/>
                  O.
                    <emph.end type="italics"/>
                  Tangenti cuivis
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  parallelam age
                    <emph type="italics"/>
                  KL,
                    <emph.end type="italics"/>
                    <lb/>
                  ad eam diſtantiam ut centrum
                    <emph type="italics"/>
                  O
                    <emph.end type="italics"/>
                  in medio inter parallelas locetur,
                    <lb/>
                  & acta
                    <emph type="italics"/>
                  KL
                    <emph.end type="italics"/>
                  tanget Trajectoriam deſcribendam. </s>
                  <s>Secet hæc tan-</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>