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="051/01/117.jpg" pagenum="86"/>
              cunque ratione longius crure interno, ſed neceſſarium omnino
                <lb/>
              eſt ut perpendiculum externi cruris longius ſit perpendiculo in­
                <lb/>
              terni, juxta dicta ſuprà Protheoria I. §. VI. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg167"/>
                <emph type="italics"/>
              Aqua inæ­
                <lb/>
              quali cele­
                <lb/>
              ritate efflu­
                <lb/>
              it ex crure
                <lb/>
              externo ſi­
                <lb/>
              phonis,
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Secunda Proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Si crus externum FN decurtetur in K, & internum tan­
                <lb/>
              gat ferè fundum in E, & ex ore K extrahatur aer; ſequetur
                <lb/>
              aqua uſque ad os K, propter vacui metum, & tota ferè effluet,
                <lb/>
              donec
                <expan abbr="nimirũ">nimirum</expan>
              perveniat ſuprema aquæ ſuperficies
                <expan abbr="uſq;">uſque</expan>
              ad oſcu­
                <lb/>
              lum E. </s>
              <s>Ratio eſt, quia perpendiculum cruris externi longius
                <lb/>
              eſt quàm interni. </s>
              <s>At poſtquam aqua pervenerit uſque ad oſcu­
                <lb/>
              lum E, nihil amplius effluit, quia perpendicula FE, FK ſunt
                <lb/>
              æqualia. </s>
              <s>Hærebit ergo aqua in æquilibrio in utroque crure. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Tertia Proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Si crus externum FN decurtetur in H, & internum ſit
                <lb/>
              infra lineam LM, aut pertingat ſolummodò uſque ad dictam
                <lb/>
              lineam; vas tamen ſit plenum uſque ad lineam CD, aut ſaltem
                <lb/>
              aqua ſit ſupra lineam LM; effluet aqua per os H, donec ſupre­
                <lb/>
              ma aquæ vaſis ſuperficies perveniat uſque ad lineam LM, & non
                <lb/>
              ampliùs. </s>
              <s>Ratio eſt, quia antequam dicta aquæ ſuperficies per­
                <lb/>
              veniat ad lineam LM, perpendiculum cruris externi eſt ſem­
                <lb/>
              per longius perpendiculo cruris interni; quando verò deſcendit
                <lb/>
              jam ad dictam lineam, ambo perpendicula ſunt æqualia. </s>
              <s>Fluxus
                <lb/>
              porrò difformitas quoad celeritatem aut tarditatem eadem eſt,
                <lb/>
              quæ antea. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Quarta Proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Si crus externum decurtetur in G, ut ſit ejuſdem altitudi­
                <lb/>
              nis ſupra Horizontem cum ſuperficie humidi CD, & aqua at­
                <lb/>
              trahatur in G; nihil effluet, quia perpendicula ſunt æqualia:
                <lb/>
              quare aqua hærebit in æquilibrio in utroque crure. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Ex his colligitur primò, Si vas ſit plenum ſolummodò uſque
                <lb/>
                <arrow.to.target n="marg168"/>
                <lb/>
              ad lineam LM, & ſiphonis crus externum decurtetur in H, vel
                <lb/>
              G, vel O, internum verò pertingat uſque ad fundum; nihil
                <lb/>
              poſſe effluere ex crure externo. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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