Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

< >
[Figure 191]
[Figure 192]
[Figure 193]
[Figure 194]
[Figure 195]
[Figure 196]
[Figure 197]
[Figure 198]
[Figure 199]
[Figure 200]
[Figure 201]
[Figure 202]
[Figure 203]
[Figure 204]
[Figure 205]
[Figure 206]
[Figure 207]
[Figure 208]
[Figure 209]
[Figure 210]
[Figure 211]
[Figure 212]
[Figure 213]
[Figure 214]
[Figure 215]
[Figure 216]
[Figure 217]
[Figure 218]
[Figure 219]
[Figure 220]
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/432.jpg" pagenum="404"/>
                  Eclipticæ;
                    <emph type="italics"/>
                  Q, q
                    <emph.end type="italics"/>
                  Quadraturas Lunæ in plano Eclipticæ, &
                    <emph type="italics"/>
                  p K
                    <emph.end type="italics"/>
                    <lb/>
                    <arrow.to.target n="note433"/>
                  perpendiculum in lineam
                    <emph type="italics"/>
                  Qq
                    <emph.end type="italics"/>
                  Quadraturis interjacentem. </s>
                  <s>Vis
                    <lb/>
                  Solis ad perturbandum motum Lunæ (per Prop.xxv.) duplex eſt,
                    <lb/>
                  altera lineæ
                    <emph type="italics"/>
                  LM,
                    <emph.end type="italics"/>
                  altera lineæ
                    <emph type="italics"/>
                  MT
                    <emph.end type="italics"/>
                  proportionalis. </s>
                  <s>Et Luna vi
                    <lb/>
                  priore in Terram, poſteriore in Solem ſecundum lineam rectæ
                    <emph type="italics"/>
                  ST
                    <emph.end type="italics"/>
                    <lb/>
                  a Terra ad Solem ductæ parallelam trahitur. </s>
                  <s>Vis prior
                    <emph type="italics"/>
                  LM
                    <emph.end type="italics"/>
                    <lb/>
                  agit ſecundum planum orbis Lunaris, & propterea ſitum plani nil
                    <lb/>
                  mutat. </s>
                  <s>Hæc igitur negligenda eſt. </s>
                  <s>Vis poſterior
                    <emph type="italics"/>
                  MT
                    <emph.end type="italics"/>
                  qua planum
                    <lb/>
                  Orbis Lunaris perturbatur eadem eſt cum vi 3
                    <emph type="italics"/>
                  PK
                    <emph.end type="italics"/>
                  vel 3
                    <emph type="italics"/>
                  IT.
                    <emph.end type="italics"/>
                    <lb/>
                  Et hæc vis (per Prop.xxv.) eſt ad vim qua Luna in circulo circa
                    <lb/>
                    <figure id="id.039.01.432.1.jpg" xlink:href="039/01/432/1.jpg" number="212"/>
                    <lb/>
                  Terram quicſcentem tempore ſuo periodico uniformiter revolvi
                    <lb/>
                  poſſet, ut 3
                    <emph type="italics"/>
                  IT
                    <emph.end type="italics"/>
                  ad Radium circuli multiplicatum per numerum
                    <lb/>
                  178,725, ſive ut
                    <emph type="italics"/>
                  IT
                    <emph.end type="italics"/>
                  ad Radium multiplicatum per 59,575. Cæte­
                    <lb/>
                  rum in hoc calculo & eo omni qui ſequitur, conſidero lineas om­
                    <lb/>
                  nes a Luna ad Solem ductas tanquam parallelas lineæ quæ a Terra
                    <lb/>
                  ad Solem ducitur, propterea quod inclinatio tantum fere minuit
                    <lb/>
                  effectus omnes in aliquibus caſibus, quantum auget in aliis; &
                    <lb/>
                  Nodorum motus mediocres quærimus, neglectis iſtiuſmodi minu­
                    <lb/>
                  tiis, quæ calculum nimis impeditum redderent. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>