Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
101
101 		102
102
103
103 		104
104
105
105 		106
106
107
107 		108
108
109
109 		110
110
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <pb xlink:href="039/01/119.jpg" pagenum="91"/>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Hinc recta duci poteſt cujus partes longitudine datæ rectis
                    <lb/>
                    <arrow.to.target n="note67"/>
                  tribus poſitione datis interjacebunt. </s>
                  <s>Concipe Triangulum
                    <emph type="italics"/>
                  DEF,
                    <emph.end type="italics"/>
                    <lb/>
                  puncto
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  ad latus
                    <emph type="italics"/>
                  EF
                    <emph.end type="italics"/>
                  accedente, & lateribus
                    <emph type="italics"/>
                  DE, DF
                    <emph.end type="italics"/>
                  in di­
                    <lb/>
                  rectum poſitis, mutari in lineam rectam, cujus pars data
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  rec­
                    <lb/>
                  tis poſitione datis
                    <emph type="italics"/>
                  AB, AC,
                    <emph.end type="italics"/>
                  & pars data
                    <emph type="italics"/>
                  DF
                    <emph.end type="italics"/>
                  rectis poſitione da­
                    <lb/>
                  tis
                    <emph type="italics"/>
                  AB, BC
                    <emph.end type="italics"/>
                  interponi debet; & applicando conſtructionem præ­
                    <lb/>
                  cedentem ad hunc caſum ſolvetur Problema. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note67"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXVIII. PROBLEMA XX.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Trajectoriam ſpecie & magnitudine datam deſcribere, cujus partes da­
                    <lb/>
                  tæ rectis tribus poſitione datis interjacebunt.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Deſcribenda ſit Trajectoria quæ ſit ſimilis & æqualis Lineæ cur­
                    <lb/>
                  væ
                    <emph type="italics"/>
                  DEF,
                    <emph.end type="italics"/>
                  quæque a rectis tribus
                    <emph type="italics"/>
                  AB, AC, BC
                    <emph.end type="italics"/>
                  poſitione datis, in
                    <lb/>
                    <figure id="id.039.01.119.1.jpg" xlink:href="039/01/119/1.jpg" number="67"/>
                    <lb/>
                  partes datis hujus partibus
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  EF
                    <emph.end type="italics"/>
                  ſimiles & æquales ſeca­
                    <lb/>
                  bitur. </s>
                </p>
                <p type="main">
                  <s>Age rectas
                    <emph type="italics"/>
                  DE, EF, DF,
                    <emph.end type="italics"/>
                  & trianguli hujus
                    <emph type="italics"/>
                  DEF
                    <emph.end type="italics"/>
                  pone an­
                    <lb/>
                  los
                    <emph type="italics"/>
                  D, E, F
                    <emph.end type="italics"/>
                  ad rectas illas poſitione datas (per Lem. </s>
                  <s>XXVI) Dein
                    <lb/>
                  circa triangulum deſcribe Trajectoriam Curvæ
                    <emph type="italics"/>
                  DEF
                    <emph.end type="italics"/>
                  ſimilem &
                    <lb/>
                  æqualem.
                    <emph type="italics"/>
                  q.E.F.
                    <emph.end type="italics"/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum