Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
391
391 		392
392
393
393 		394
394
395
395 		396
396
397
397 		398
398
399
399 		400
400
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/395.jpg" pagenum="367"/>
                    <lb/>
                  titate materiæ ſuæ, quam Jupiter pro quantitate materiæ ſuæ, in
                    <lb/>
                    <arrow.to.target n="note373"/>
                  ratione quacunQ.E.D.ta, puta
                    <emph type="italics"/>
                  d
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  e
                    <emph.end type="italics"/>
                  : diſtantia inter centrum So­
                    <lb/>
                  lis & centrum Orbis Satellitis, major ſemper foret quam diſtantia
                    <lb/>
                  inter centrum Solis & centrum Jovis in ratione ſubduplicata quam
                    <lb/>
                  proxime; uti calculis quibuſdam initis inveni. </s>
                  <s>Et ſi Satelles mi­
                    <lb/>
                  nus gravis eſſet in Solem in ratione illa
                    <emph type="italics"/>
                  d
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  e,
                    <emph.end type="italics"/>
                  diſtantia centri
                    <lb/>
                  Orbis Satellitis à Sole minor foret quam diſtantia centri Jovis à
                    <lb/>
                  Sole in ratione illa ſubduplicata. </s>
                  <s>Igitur ſi in æqualibus à Sole
                    <lb/>
                  diſtantiis, gravitas acceleratrix Satellitis cujuſvis in Solem major
                    <lb/>
                  eſſet vel minor quam gravitas acceleratrix Jovis in Solem, parte
                    <lb/>
                  tantum milleſima gravitatis totius, foret diſtantia centri Orbis
                    <lb/>
                  Satellitis à Sole major vel minor quam diſtantia Jovis à Sole
                    <lb/>
                  parte (7/2000) diſtantiæ totius, id eſt, parte quinta diſtantiæ Satellitis
                    <lb/>
                  extimi à centro Jovis: Quæ quidem Orbis eccentricitas foret &c. valde
                    <lb/>
                  ſenſibilis. </s>
                  <s>Sed Orbes Satellitum ſunt Jovi concentrici, & propte­
                    <lb/>
                  rea gravitates acceleratrices Jovis & Satellitum in Solem æquantur
                    <lb/>
                  inter ſe. </s>
                  <s>Et eodem argumento pondera Saturni & Comitum ejus
                    <lb/>
                  in Solem, in æqualibus à Sole diſtantiis, ſunt ut quantitates mate­
                    <lb/>
                  riæ in ipſis: Et pondera Lunæ ac Terræ in Solem vel nulla ſunt,
                    <lb/>
                  vel earum maſſis accurate proportionalia. </s>
                  <s>Aliqua autem ſunt per
                    <lb/>
                  Corol. 1. & 3. Prop. V.
                    <lb/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note372"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note373"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>Quinetiam pondera partium ſingularum Planetæ cujuſQ.E.I.
                    <lb/>
                  alium quemcunque, ſunt inter ſe ut materia in partibus ſingulis.
                    <lb/>
                  Nam ſi partes aliquæ plus gravitarent, aliæ minus, quam pro quan­
                    <lb/>
                  titate materiæ: Planeta totus, pro genere partium quibus maxime
                    <lb/>
                  abundet, gravitaret magis vel minus quam pro quantitate materiæ
                    <lb/>
                  totius. </s>
                  <s>Sed nec refert utrum partes illæ externæ ſint vel internæ.
                    <lb/>
                  Nam ſi verbi gratia corpora Terreſtria, quæ apud nos ſunt, in
                    <lb/>
                  Orbem Lunæ elevari fingantur, & conferantur cum corporo Lunæ:
                    <lb/>
                  Si horum pondera eſſent ad pondera partium externarum Lunæ
                    <lb/>
                  ut quantitates materiæ in iiſdem, ad pondera vero partium in­
                    <lb/>
                  ternarum in majori vel minori ratione, forent eadem ad pondus
                    <lb/>
                  Lunæ totius in majori vel minori ratione: contra quam ſupra
                    <lb/>
                  oſtenſum eſt.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  1. Hinc pondera corporum non pendent ab eorum for­
                    <lb/>
                  mis & texturis. </s>
                  <s>Nam ſi cum formis variari poſſent; forent ma­
                    <lb/>
                  jora vel minora, pro varietate formarum, in æquali materia: om­
                    <lb/>
                  nino contra Experientiam.
                    <lb/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum