Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
501
501
502
502
503
503
504
504
505
505
506
506
507
507
508
508
509
509
510
510
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/501.jpg" pagenum="470"/>
                    <arrow.to.target n="note499"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note498"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note499"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>Vapores autem, qui ſpatiis tam immenſis implendis ſufficiant,
                    <lb/>
                  ex Cometarum Atmoſphæris oriri poſſe, intelligetur ex ratitate
                    <lb/>
                  Aeris noſtri. </s>
                  <s>Nam Aer juxta ſuperficiem Terræ ſpatium occupat
                    <lb/>
                  quaſi 850 partibus majus quam Aqua ejuſdem ponderis, ideoque
                    <lb/>
                  Aeris columna cylindrica pedes 850 alta, ejuſdem eſt ponderis
                    <lb/>
                  cum Aquæ columna pedali latitudinis ejuſdem. </s>
                  <s>Columna autem
                    <lb/>
                  Aeris ad ſummitatem Atmoſphæræ aſſurgens æquat pondere ſuo
                    <lb/>
                  colurnnam Aquæ pedes 33 altam circiter; & propterea ſi colum­
                    <lb/>
                  næ totius Aereæ pars inferior pedum 850 altitudinis dematur,
                    <lb/>
                  pars reliqua ſuperior æquabit pondere ſuo columnam Aquæ altam
                    <lb/>
                  pedes 32. Inde vero (ex Hypotheſi multis experimentis confir­
                    <lb/>
                  mata, quod compreſſio Aeris ſit ut pondus Atmoſphæræ incum­
                    <lb/>
                  bentis, quodque gravitas ſit reciproce ut quadratum diſtantiæ lo­
                    <lb/>
                  eorum a centro Terræ) computationem per Corol. </s>
                  <s>Prop. </s>
                  <s>XXII.
                    <lb/>
                  Lib. </s>
                  <s>II. ineundo, inveni quod Aer, ſi aſcendatur a ſuperficie
                    <lb/>
                  Terræ ad altitudinem ſemidiametri unius terreſtris, rarior ſit quam
                    <lb/>
                  apud nos in ratione longe majori, quam ſpatii omnis infra Or­
                    <lb/>
                  bem Saturni ad globum diametro digiti unius deſcriptum. </s>
                  <s>Ideo­
                    <lb/>
                  que globus Aeris noſtri digitum unum latus, ea cum raritate
                    <lb/>
                  quam haberet in altitudine ſemidiametri unius terreſtris, impleret
                    <lb/>
                  omnes Planetarum regiones ad uſque ſphæram Saturni & longe
                    <lb/>
                  ultra. </s>
                  <s>Proinde cum Aer adhuc altior in immenſum rareſcat; &
                    <lb/>
                  coma ſeu Atmoſphæra Cometæ, aſcendendo ab illius centro, quaſi
                    <lb/>
                  decuplo altior ſit quam ſuperficies nuclei, deinde cauda adhuc
                    <lb/>
                  altius aſcendat, debebit cauda eſſe quam rariſſima. </s>
                  <s>Et quamvis,
                    <lb/>
                  ob longe craſſiorem Cometarum Atmoſphæram, magnamque cor­
                    <lb/>
                  porum gravitationem Solem verſus, & gravitationem particula­
                    <lb/>
                  rum Aeris & vaporum in ſe mutuo, fieri poſſit ut Aer in ſpatiis
                    <lb/>
                  cœleſtibus inque Cometarum caudis non adeo rareſcat; perexi­
                    <lb/>
                  guam tamen quantitatem Aeris & vaporum, ad omnia illa cauda­
                    <lb/>
                  rum Phœnomena abunde ſufficere, ex hac computatione perſpi­
                    <lb/>
                  cuum eſt. </s>
                  <s>Nam & caudarum inſignis raritas colligitur ex aſtris
                    <lb/>
                  pes eas tranſlucentibus. </s>
                  <s>Atmoſphæra terreſtris luce Solis ſplen­
                    <lb/>
                  dens, craſſitudine ſua paueorum milliarium, & aſtra omnia & ip­
                    <lb/>
                  ſam Lunam obſcurat & extinguit penitus: per immenſam vero
                    <lb/>
                  caudarum craſſitudinem, luce pariter Solari illuſtratam, aſtra mi­
                    <lb/>
                  nima abſque claritatis detrimento tranſlucere noſcuntur. </s>
                  <s>Neque
                    <lb/>
                  major eſſe ſolet caudarum plurimarum ſplendor, quam Aeris no­
                    <lb/>
                  ſtri in tenebroſo cubiculo latitudine digiti unius duorumve, lucem
                    <lb/>
                  Solis in jubare reflectentis. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>