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

List of thumbnails

< >
161
161 		162
162
163
163 		164
164
165
165 		166
166
167
167 		168
168
169
169 		170
170
< >
page |< < of 203 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/162.jpg" pagenum="131"/>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XV. Phænomenon. IX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Tempora quibus deplentur tubi non ſemper pleni æque
                <lb/>
              lati, ſed non æquè alti, per æqualia foramina, ſuntin al­
                <lb/>
              titudinum ratione ſubduplicata.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COnſtat enim ex obſervatione, inquit Merſennus in Hydrau­</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg237"/>
                <lb/>
              licis Phænomenis Propoſit. IX. tubum pedalem 30 ſecundis,
                <lb/>
              quadrupedalem verò latitudinis eiusdem 60 ſecundis, per fora­
                <lb/>
              men lineare, totum exhauriri. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg237"/>
                <emph type="italics"/>
              Proportio
                <lb/>
              temporum
                <lb/>
              aquæ fluxus
                <lb/>
              ex tubis, ad
                <lb/>
              eorum alti­
                <lb/>
              tudinem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>HInc colligitur primò, tuborum altitudines eſſe in ratione
                <lb/>
              duplicata temporum, quibus deplentur æqualia lumina, vt
                <lb/>
              diximus etiam in Poriſmate Propoſitionis XII. præcedentis. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium
                <emph type="italics"/>
              II
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur ſecundò, tam tubos non ſemper plenos, quàm tu­
                <lb/>
              bos ſemper plenos, juxta eandem rationem tribuere aquas
                <lb/>
              ex æqualibus foraminibus, juxta dicta hac, & octava Propo­
                <lb/>
              ſitione. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XVI. Theorema VII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Tempora quibus evacuantur tubi non ſemper pleni ſi­
                <lb/>
              miles, & æquales quoad altitudines & baſes, per lumina ſimilia
                <lb/>
              inæqualia, ſunt reciprocè vt lumina.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>PRopoſitio intelligenda eſt in eo ſenſu, quem explicavimus
                <lb/>
              in Porismate 1. Propoſit. 13. præcedentis. </s>
            </p>
            <p type="main">
              <s>Sint itaque tubi cylindrici ABFQ, ſimiles, & æquales in
                <lb/>
                <arrow.to.target n="marg238"/>
                <lb/>
              altitudinibus, humido pleni, quorum lumina ſint EC, KN, cir­
                <lb/>
              cularia, at inæqualia (eadem eſt ratio de tubis priſmaticis, &
                <lb/>
              foraminibus quadratis, alteriusvè Figuræ;) ſitque lumen ſeu
                <lb/>
              foramen KN duodecies maius quoad aream, quàm lumen EC. </s>
              <s>
                <lb/>
              Dico, tempus quo exhauritur tubus AB, per lumen EC, eſſe
                <lb/>
              ad tempus, quo exhauritur tubus FQ, per lumen KN, ut eſt
                <lb/>
              reciprocèlumen KN ad lumen EC; id eſt, tantò plùs tempo­
                <lb/>
              ris requiri ut exhauriatur tubus AB, per foramen EC, quàm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum