Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="039/01/022.jpg"/>
            <p type="main">
              <s>Summa rei huc tandem redìt: Cometarum ingens eſt numerus;
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              motus eorum ſunt ſumme regulares, & eaſdem leges cum Plane­
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              tarum motibus obſervant. </s>
              <s>Moventur in Orbibus Conicis, hi or­
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              bes ſunt valde admodum eccentrici. </s>
              <s>Feruntur undiQ.E.I. omnes
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              Cælorum partes, & Planetarum regiones liberrime pertranſeunt,
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              & ſæpe contra Signorum ordinem incedunt. </s>
              <s>Hæc Phænomena
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              certiſſime confirmantur ex Obſervationibus Aſtronomicis: & per
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              Vortices nequeunt explicari: Imo, ne quidem cum Vorticibus
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              Planetarum conſiſtere poſſunt. </s>
              <s>Cometarum motibus omnino lo­
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              cus non erit; niſi materia illa fictitia penitus e Cælis amo­
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              veatur. </s>
            </p>
            <p type="main">
              <s>Si enim Planetæ circum Solem a Vorticibus devehuntur; Vor­
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              ticum partes, quæ proxime ambiunt unumquemque Planetam, ejuſ­
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              dem denſitatis erunt ac Planeta; uti ſupra dictum eſt. </s>
              <s>Itaque
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              materia illa omnis quæ contigua eſt Orbis magni perimetro, pa­
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              rem habebit ac Tellus denſitatem: quæ vero jacet intra Orbem
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              magnum atque Orbem Saturni, vel parem vel majorem habebit. </s>
              <s>
                <lb/>
              Nam ut conſtitutio Vorticis permanere poſſit, debent partes mi­
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              nus denſæ centrum occupare, magis denſæ longius a centro abire. </s>
              <s>
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              Cum enim Planetarum tempora periodica ſint in ratione ſeſqui­
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              plicata diſtantiarum a Sole, oportet partium Vorticis periodos
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              eandem rationem ſervare. </s>
              <s>Inde vero ſequitur, vires centrifugas
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              harum partium fore reciproce ut quadrata diſtantiarum. </s>
              <s>Quæ
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              igitur majore intervallo diſtant a centro, nituntur ab eodem re­
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              cedere minore vi: unde ſi minus denſæ fuerint, neceſſe eſt ut ce­
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              dant vi majori, qua partes centro propiores aſcendere conantur. </s>
              <s>
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              Aſcendent ergo denſiores, deſcendent minus denſæ, & loeorum
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              fiet invicem permutatio; donec ita fuerit diſpoſita atque ordinata
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              materia fluida totius Vorticis, ut conquieſcere jam poſſit in æqui­
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              librio conſtituta. </s>
              <s>Si bina Fluida, quorum diverſa eſt denſitas,
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              in eodem vaſe continentur; utique futurum eſt ut Fluidum, cu­
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              jus major eſt denſitas, majore vi Gravitatis infimum petat locum:
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              & ratione non abſimili omnino dicendum eſt, denſiores Vorticis
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              partes majore vi centrifuga petere ſupremum locum. </s>
              <s>Tota igi­
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              tur illa & multo maxima pars Vorticis, quæ jacet extra Telluris
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              orbem, denſitatem habebit atque adeo vim inertiæ pro mole ma­
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              teriæ, quæ non minor erit quam denſitas & vis inertiæ Telluris:
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              inde vero Cometis trajectis orietur ingens reſiſtentia, & valde ad­
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              modum ſenſibilis; ne dicam, quæ motum eorundem penitus ſiſtere
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              atque abſorbere poſſe merito videatur. </s>
              <s>Conſtat autem ex motu Co-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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