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

Page concordance

< >
< >
page |< < of 203 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/156.jpg" pagenum="125"/>
            <p type="margin">
              <s>
                <margin.target id="marg226"/>
                <emph type="italics"/>
              Lex deſcen­
                <lb/>
              ſus aquæ è
                <lb/>
              tubo expli­
                <lb/>
              catur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium IV.
                <emph.end type="center"/>
              </s>
            </p>
            <figure id="id.051.01.156.1.jpg" xlink:href="051/01/156/1.jpg" number="51"/>
            <p type="main">
              <s>COlligitur quartò, Aquam è foramine B efflue­
                <lb/>
                <arrow.to.target n="marg227"/>
                <lb/>
              re eò majori velocitate, quò altior fuerit tu­
                <lb/>
              bus. </s>
              <s>Ratio eſt, quia quò altior eſt tubus, eò ma­
                <lb/>
              jorem velocitatem adquirit prima pars aquæ de­
                <lb/>
              ſcendentis in ſuo deſcenſu, & conſequenter reli­
                <lb/>
              quæ ſubſequentes; item quò altior eſt tubus, eò
                <lb/>
              altior eſt columna aquea premens apud B. ideo­
                <lb/>
              que eò vehementiùs premit apud idem B. </s>
              <s>Vide
                <lb/>
              quæ diximus Propoſit. VI. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg227"/>
                <emph type="italics"/>
              Aqua è tu­
                <lb/>
              bo eò velo­
                <lb/>
              ciùs effluit,
                <lb/>
              quò altior
                <lb/>
              eſt tubus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur quintò, Aquam ex æqualibus tubis, quoad fora­
                <lb/>
                <arrow.to.target n="marg228"/>
                <lb/>
              mina & altitudines, effluere æquali velocitate. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg228"/>
                <emph type="italics"/>
              Aqua ex æ­
                <lb/>
              qualibus tu­
                <lb/>
              bis quoad o­
                <lb/>
              mnia, æqua­
                <lb/>
              li velocita­
                <lb/>
              te effluit,
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio X. Theorema II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Velocitates motus aquæ deſcendentis & effluentis per
                <lb/>
              tubos æqualium foraminum, ſed inæqualium altitu­
                <lb/>
              dinum, habent ſubduplicatam rationem
                <lb/>
              altitudinum.
                <emph.end type="center"/>
              </s>
            </p>
            <figure id="id.051.01.156.2.jpg" xlink:href="051/01/156/2.jpg" number="52"/>
            <p type="main">
              <s>ESto tubus AB altus uno pede, & alius CD al­
                <lb/>
              tus quatuor pedibus, ſed uterque æqualium
                <lb/>
              foraminum, ſive ſemper, ſive non ſemper pleni, è
                <lb/>
              quibus effluat aqua inæquali velocitate, juxta di­
                <lb/>
              cta Propoſitione præcedente, Corollario IV. </s>
              <s>Dico,
                <lb/>
              velocitates motus & effluxus aquarum eſſe in ſub­
                <lb/>
              duplicata ratione tuborum, hoc eſt, aquam per
                <lb/>
              tubum CD deſcendere, & effluere duplo velo­
                <lb/>
              ciùs, quàm per tubum AB. </s>
              <s>Quoniam enim aquæ
                <lb/>
                <arrow.to.target n="marg229"/>
                <lb/>
              motus per tubos æmulatur leges gravium deſcen­
                <lb/>
              dentium motu naturali, per dicta Propoſit. IX.
                <lb/>
              præcedente, hoc eſt, creſcit in velocitate </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>