Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
401
401
402
402
403
403
404
404
405
405
406
406
407
407
408
408
409
409
410
410
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/402.jpg" pagenum="374"/>
                    <lb/>
                    <arrow.to.target n="note380"/>
                  progrediente, centrum Mundi quoque movebitur contra Hy­
                    <lb/>
                  potheſin.
                    <lb/>
                  PROPOSITIO XII. THEOREMA XII.
                    <lb/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note380"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Solem motu perpetuo agitari, ſed nunquam longe recedere a com­
                    <lb/>
                  muni gravitatis centro Planetarum omnium.
                    <emph.end type="italics"/>
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam cum (per Corol. 2. Prop. VIII.) materia in Sole ſit ad
                    <lb/>
                  materiam in Jove ut 1033 ad 1, & diſtantia Jovis a Sole ſit ad
                    <lb/>
                  ſemidiametrum Solis in ratione paulo majore; incidet commune
                    <lb/>
                  centrum gravitatis Jovis & Solis in punctum paulo ſupra ſuper­
                    <lb/>
                  ficiem Solis. </s>
                  <s>Eodem argumento cum materia in Sole ſit ad ma­
                    <lb/>
                  teriam in Saturno ut 2411 ad 1, & diſtantia Saturni a Sole ſit ad
                    <lb/>
                  ſemidiametrum Solis in ratione paulo minore: incidet commune
                    <lb/>
                  centrum gravitatis Saturni & Solis in punctum paulo infra ſuper­
                    <lb/>
                  ficiem Solis. </s>
                  <s>Et ejuſdem calculi veſtigiis inſiſtendo ſi Terra &
                    <lb/>
                  Planetæ omnes ex una Solis parte conſiſterent, commune omnium
                    <lb/>
                  centrum gravitatis vix integra Solis diametro a centro Solis di­
                    <lb/>
                  ſtaret. </s>
                  <s>Aliis in caſibus diſtantia centrorum ſemper minor eſt.
                    <lb/>
                  Et propterea cum centrum illud gravitatis perpetuo quieſcit, Sol
                    <lb/>
                  pro vario Planetarum ſitu in omnes partes movebitur, ſed à cen­
                    <lb/>
                  tro illo nunquam longe recedet.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Hinc commune gravitatis centrum Terræ, Solis & Pla­
                    <lb/>
                  netarum omnium pro centro Mundi habendum eſt. </s>
                  <s>Nam cum
                    <lb/>
                  Terra, Sol & Planetæ omnes gravitent in ſe mutuo, & propte­
                    <lb/>
                  rea, pro vi gravitatis ſuæ, ſecundum leges motus perpetuo agi­
                    <lb/>
                  tentur: perſpicuum eſt quod horum centra mobilia pro Mundi
                    <lb/>
                  centro quieſcente haberi nequeunt. </s>
                  <s>Si corpus illud in centro
                    <lb/>
                  locandum eſſet in quod corpora omnia maxime gravitant (uti
                    <lb/>
                  vulgi eſt opinio) privilegium iſtud concedendum eſſet Soli.
                    <lb/>
                  Cum autem Sol moveatur, eligendum erit punctum quieſcens,
                    <lb/>
                  a quo centrum Solis quam minime diſcedit, & a quo idem ad­
                    <lb/>
                  huc minus diſcederet, ſi modo Sol denſior eſſet & major, ut
                    <lb/>
                  minus moveretur.
                    <lb/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>