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="039/01/396.jpg" pagenum="368"/>
                    <lb/>
                    <arrow.to.target n="note374"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note374"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Corpora univerſa quæ circa Terram ſunt, gravia ſunt
                    <lb/>
                  in Terram; & pondera omnium, quæ æqualiter à centro Terræ
                    <lb/>
                  diſtant, ſunt ut quantitates materiæ in iiſdem. </s>
                  <s>Hæc eſt qualitas
                    <lb/>
                  omnium in quibus experimenta inſtituere licet, & propterea per
                    <lb/>
                  Reg.111. de univerſis affirmanda eſt. </s>
                  <s>Si Æther aut corpus aliud
                    <lb/>
                  quodcunque vel gravitate omnino deſtitueretur, vel pro quantitate
                    <lb/>
                  materiæ ſuæ minus gravitaret: quoniam id (ex mente
                    <emph type="italics"/>
                  Ariſtotelis,
                    <lb/>
                  Carteſii & aliorum
                    <emph.end type="italics"/>
                  non differet ab aliis corporibus niſi in forma
                    <lb/>
                  materiæ, poſſet idem per mutationem formæ gradatim tranſmutari
                    <lb/>
                  in corpus ejuſdem conditionis cum iis quæ, pro quantitate materiæ,
                    <lb/>
                  quam maxime gravitant, & viciſſim corpora maxime gravia, fer­
                    <lb/>
                  mam illius gradatim induendo, poſſent gravitatem ſuam gradatim
                    <lb/>
                  amittere. </s>
                  <s>Ac proinde pondera penderent à formis corporum,
                    <lb/>
                  poſſentque cum formis variari, contra quam probatum eſt in
                    <lb/>
                  Corollario ſuperiore.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Spatia omnia non ſunt æqualiter plena. </s>
                  <s>Nam ſi ſpatia
                    <lb/>
                  omnia æqualiter plena eſſent, gravitas ſpecifica fluidi quo regio
                    <lb/>
                  aeris impleretur, ob ſummam denſitatem materiæ, nil cederet gra­
                    <lb/>
                  vitati ſpecificæ argenti vivi, vel auri, vel corporis alterius cujuſ­
                    <lb/>
                  cunQ.E.D.nſiſſimi; & propterea nec aurum neque aliud quod­
                    <lb/>
                  cunque corpus in aere deſcendere poſſet. </s>
                  <s>Nam corpora in flui­
                    <lb/>
                  dis, niſi ſpecifice graviora ſint, minime deſcendunt. </s>
                  <s>Quod ſi
                    <lb/>
                  quantitas materiæ in ſpatio dato per rarefactionem quamcunque
                    <lb/>
                  diminui poſſit, quidni diminui poſſit in infinitum?
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Si omnes omnium corporum particulæ ſolidæ ſint ejuſ­
                    <lb/>
                  dem denſitatis, neque abſque poris rarefieri poſſint, Vacuum da­
                    <lb/>
                  tur. </s>
                  <s>Ejuſdem denſitatis eſſe dico, quarum vires inertiæ ſunt ut
                    <lb/>
                  magnitudines.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  5. Vis gravitatis diverſi eſt generis à vi magnetica. </s>
                  <s>Nam
                    <lb/>
                  attractio magnetica non eſt ut materia attracta. </s>
                  <s>Corpora aliqua
                    <lb/>
                  magis trahuntur, alia minus, plurima non trahuntur. </s>
                  <s>Et vis mag­
                    <lb/>
                  netica in uno & eodem corpore intendi poteſt & remitti, eſtque
                    <lb/>
                  nonnunquam longe major pro quantitate materiæ quam vis gra­
                    <lb/>
                  vitatis, & in receſſu à Magnete decreſcit in ratione diſtantiæ non
                    <lb/>
                  duplicata, ſed fere triplicata, quantum ex craſſis quibuſdam obſer­
                    <lb/>
                  vationibus animadvertere potui.
                    <lb/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>