Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="051/01/099.jpg" pagenum="68"/>
              monſtrat hoc ſubtiliſſimè Archimedes lib 1. de infidentibus hu­
                <lb/>
              mido Propoſit. 2. & Ariſtot. lib. 2. de Cœlo text. 31. & ſequitur
                <lb/>
              ex præcedente Proprietate. </s>
              <s>Si enim ceſſante fluxu, & conſi­
                <lb/>
              ſtente iam aquâ, pars vna ſuperficiei extimæ altior eſſet, & altera
                <lb/>
              humilior, hoc eſt, ſi non omnes æquè diſtarent à centro Mundi
                <lb/>
              (quod eſt ſphæricam habere ſuperficiem, habentem idem Cen­
                <lb/>
              trum commune Mundi;) non omnes aquæ partes, ſublatis im­
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              pedimentis, fluerent ad loca decliviora, nec aquæ conſiſtentis
                <lb/>
              partes omnes eò naturali appetitu inclinarent; aut certè violen­
                <lb/>
              ter in tali ſtatu, & nullo præſente impedimento, detinerentur;
                <lb/>
                <arrow.to.target n="marg134"/>
                <lb/>
              quod incongruum eſt, & naturis rerum repugnans. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg133"/>
                <emph type="italics"/>
              Aqua conſi­
                <lb/>
              ſtentis ſuper­
                <lb/>
              ficies ſuperi­
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              or ſpharica
                <lb/>
              eſt.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg134"/>
                <emph type="italics"/>
              Aquæ vaſis
                <lb/>
              contentæ ſu­
                <lb/>
              perficies con­
                <lb/>
              formantur
                <lb/>
              vaſorum in­
                <lb/>
              ternis figu­
                <lb/>
              ris.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Inferior porrò aquæ ſuperficies, & laterales, conforman­
                <lb/>
              tur ſuperficiebus internis vaſorum & receptaculorum, quibus
                <lb/>
              aqua continetur: Vnde ſi vna pars fundi vaſorum ac recepta­
                <lb/>
              culorum eſt altior alterâ (prout in mari, lacubus, fluminibus,
                <lb/>
              & vaſis ordinariè fit) etiam talis erit aquæ illis contentæ infe­
                <lb/>
              rior ſuperficies. </s>
              <s>Idem intellige de lateralibus ſuperficiebus. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma I.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg135"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg135"/>
                <emph type="italics"/>
              Aquarum
                <lb/>
              omnium Su­
                <lb/>
              perficies ſu­
                <lb/>
              perior eſt
                <lb/>
              ſphærica.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur hinc, Oceani, Marium, lacuum, & aquarum qua­
                <lb/>
              rumcunque continuatarum, & in quibuscunque receptacu­
                <lb/>
              lis contentarum, ac conſiſtentium, ſuperficies ſuperiores atque
                <lb/>
              externas eſſe ſphæricas, habentes idem cum Terraquæ ſuperficie </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg136"/>
                <lb/>
                <expan abbr="cõvexa">convexa</expan>
              centrum. </s>
              <s>In vaſis tamen & receptaculis exiguis adeo exi­
                <lb/>
              gua eſt & inſenſibilisſphæricitas iſtius ſuperficiei, vt meritò ſup­
                <lb/>
              poni poſſit eſſe planam, ſeu horizonti parallelam: vnde & nos
                <lb/>
              in ſequentibus id nobis concedi poſtulabimus, & ita ſuppone­
                <lb/>
              mus. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg136"/>
                <emph type="italics"/>
              In vaſis ta­
                <lb/>
              men exiguis
                <lb/>
              cenſeri po­
                <lb/>
              teſt plana.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur iterum, idem vas ad turris aut montis radicem po­
                <lb/>
                <arrow.to.target n="marg137"/>
                <lb/>
              ſitum, & aquâ omnino plenum, plùs aquæ continere, mathe­
                <lb/>
              maticè loquendo, quàm poſitum in turris aut montis vertice, &
                <lb/>
              aquâ itidem omnino plenum. </s>
              <s>Ratio eſt, quia major eſt ſphæri­
                <lb/>
              citas aquæ in primo, quàm ſecundo caſu. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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