Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657
page |< < of 203 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/189.jpg" pagenum="158"/>
            <p type="margin">
              <s>
                <margin.target id="marg273"/>
                <emph type="italics"/>
              Salientis ho­
                <lb/>
              rizontalis
                <lb/>
              longitudine
                <lb/>
              data inve­
                <lb/>
              nire tubi al­
                <lb/>
              titudinem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio X. Problema III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Ex nota ſcaturiginis altitudine fontis unius ex tubo exi­
                <lb/>
              lientis horizontaliter, altitudinem ſcaturiginis cuiuscun­
                <lb/>
              que alterius æqualiter ſupra horizontem elevati
                <lb/>
              invenire.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg274"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg274"/>
                <emph type="italics"/>
              Fontis alti­
                <lb/>
              tudine ſca­
                <lb/>
              turiginis da­
                <lb/>
              ta, invenire
                <lb/>
              alias.
                <emph.end type="italics"/>
              </s>
            </p>
            <table>
              <row>
                <cell>A</cell>
                <cell>10.</cell>
                <cell>B --</cell>
              </row>
              <row>
                <cell>8.</cell>
                <cell/>
                <cell>12.</cell>
              </row>
              <row>
                <cell>10.</cell>
                <cell>15.</cell>
                <cell>22 1/2.</cell>
              </row>
            </table>
            <table>
              <row>
                <cell>A</cell>
                <cell>10.</cell>
                <cell>B --</cell>
              </row>
              <row>
                <cell>8.</cell>
                <cell/>
                <cell>12.</cell>
              </row>
              <row>
                <cell>10.</cell>
                <cell>15.</cell>
                <cell>22 1/2.</cell>
              </row>
            </table>
            <p type="main">
              <s>SIt ſcaturigo fontis unius A alta pedes 10; O.
                <lb/>
              porteat invenire altitudinem ſcaturiginis fon­
                <lb/>
              tis B. </s>
              <s>Idem lumen, ſeu eundem tubulum ap­
                <lb/>
              plica horizontaliter ad utriuſque fontis oſcu­
                <lb/>
              lum, & obſerva ſalientium horizontalium longitudinem; ſitque
                <lb/>
              fontis A longitudo pedum 8, fontis verò B longitudo ſit
                <lb/>
              pedum 12. </s>
              <s>Fiat igitur, ut 8 ad 12, ita 10 ad aliud, nempe ad
                <lb/>
              15; & iterum, ut 10 ad 15, ita 15 ad aliud, nempe ad (22 3/10), ſive
                <lb/>
              1/2; eritque altitudo ſcaturiginis fontis B pedum 22 1/2. </s>
            </p>
            <p type="main">
              <s>Demonſtratio. </s>
              <s>Per Poriſma Propoſit. 1. hujus Capitis,
                <lb/>
              altitudines tuborum habent duplicatam rationem ejus, quam
                <lb/>
              habent longitudines ſalientium horizontalium. </s>
              <s>Quoniam ergo
                <lb/>
              10, nempe altitudo ſcaturiginis A, eſt ad 22 1/2 in duplicata ra­
                <lb/>
              tione eius, quam habet 10 ad 15, hoc eſt, quam habet 8 ad 12,
                <lb/>
              ſaliens nempe fontis A, ad
                <expan abbr="ſalientẽ">ſalientem</expan>
              fontis B; erit neceſſariò
                <lb/>
              22 1/2 altitudo ſcaturiginis fontis B quæſita. </s>
            </p>
            <p type="main">
              <s>Atque hæc ſufficiant de tuborum ſeu fontium ſalientibus;
                <lb/>
              qui plura deſiderat, legat Merſennum in Hydraulicis Phæno­
                <lb/>
              menis, & Torricellum lib. 2. de Motu projectorum à fol. 191. ubi
                <lb/>
              incipit agere de Motu aquarum. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              CAPVT V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              De fluxu Aquæ per diverſa eiuſdem vaſis
                <lb/>
              aut tubi foramina.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg275"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg275"/>
                <emph type="italics"/>
              Proprieta­
                <lb/>
              tes fluxus
                <lb/>
              aquæ per di­
                <lb/>
              verſa eius­
                <lb/>
              dem tubi
                <lb/>
              aut vaſis
                <lb/>
              foramina.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>HActenus locuti ſumus de aquæ fluxu per foramina tu­
                <lb/>
              borum
                <expan abbr="verticaliũ">verticalium</expan>
              tum horizontalia, tum lateralia, &
                <lb/>
              tubos cum tubis, aquas cum aquis, foramina cum fo­
                <lb/>
              raminibus diverſorum tuborum comparavimus;
                <lb/>
              nunc eiuſdem tubi & vaſis
                <expan abbr="cuiuſcunq;">cuiuſcunque</expan>
              foramina diverſa inter ſeſe </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum