Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

List of thumbnails

< >
311
311 (297) 		312
312 (298)
313
313 (299) 		314
314 (300)
315
315 (301) 		316
316 (302)
317
317 (303) 		318
318 (304)
319
319 		320
320
< >
page |< < (299) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div308" type="section" level="1" n="232">
          <p>
            <s xml:id="echoid-s8900" xml:space="preserve">
              <pb o="299" file="0313" n="313" rhead="SECTIO DECIMA TERTIA."/>
            vis vero navem promovens hujus erit dimidia, adeo ut dimidius effectus
              <lb/>
            perdatur ab inertia earundem, quæ continue hauriuntur, aquarum.</s>
            <s xml:id="echoid-s8901" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div309" type="section" level="1" n="233">
          <head xml:id="echoid-head295" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s8902" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8903" xml:space="preserve">29. </s>
            <s xml:id="echoid-s8904" xml:space="preserve">Poſtquam ſic demonſtravimus, quomodo utiliſſime maximo-
              <lb/>
            que cum ſucceſſu iſte navigandi modus ſit inſtituendus, nunc porro rem iſtam
              <lb/>
            exemplo illuſtrandam eſſe puto tali, quod cum ipſa rei natura non male con-
              <lb/>
            venire crediderim ut ſimul appareat, qualis præterpropter eventus futurus
              <lb/>
            ſit.</s>
            <s xml:id="echoid-s8905" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8906" xml:space="preserve">Conſideremus triremem, vulgo galeram, cum 260 remigibus: </s>
            <s xml:id="echoid-s8907" xml:space="preserve">pona-
              <lb/>
            mus hanc galeram pondere unius pedis cubici aquæ ſeu 72. </s>
            <s xml:id="echoid-s8908" xml:space="preserve">librarum tractam
              <lb/>
            perficere ſingulis minutis ſecundis ſpatium duorum pedum, cujus velocita-
              <lb/>
            tis altitudo genitrix indicata per C eſt = {1/16}, poſito corpus grave libere à quie-
              <lb/>
            te decidens primo minuto ſecundo perficere 16. </s>
            <s xml:id="echoid-s8909" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s8910" xml:space="preserve">Quia porro 260. </s>
            <s xml:id="echoid-s8911" xml:space="preserve">ope-
              <lb/>
            rarii adhibentur, quorum quivis vi experimenti ſecundi ad Sect. </s>
            <s xml:id="echoid-s8912" xml:space="preserve">9. </s>
            <s xml:id="echoid-s8913" xml:space="preserve">pertinentis
              <lb/>
            poteſt ſingulis minutis ſecundis quatuor quintas partes pedis cubici ad altitu-
              <lb/>
            dinem unius pedis elevare, erit N = {4/5} X 260 = 208. </s>
            <s xml:id="echoid-s8914" xml:space="preserve">Fiat igitur orificium,
              <lb/>
            per quod aquæ effluant, amplitudinis 4 pedum quadratorum: </s>
            <s xml:id="echoid-s8915" xml:space="preserve">poteruntque
              <lb/>
            operarii aquam in canali ſupra orificium elevatam conſervare ad altitudinem
              <lb/>
            proxime 3 {1/2} ped. </s>
            <s xml:id="echoid-s8916" xml:space="preserve">quæ indicatur litera A, & </s>
            <s xml:id="echoid-s8917" xml:space="preserve">ſi ſumas hujus altitudinis quar-
              <lb/>
            tam partem habebis B = {7/8} ped. </s>
            <s xml:id="echoid-s8918" xml:space="preserve">adeo ut navis tali velocitate ſit iſta navigatione
              <lb/>
            progreſſura, quam grave acquirit lapſu libero per altitudinem {7/8} ped. </s>
            <s xml:id="echoid-s8919" xml:space="preserve">ſic ergo
              <lb/>
            navis ſingulis minutis ſecundis ſpatium 7 {1/2} ped. </s>
            <s xml:id="echoid-s8920" xml:space="preserve">perficiet & </s>
            <s xml:id="echoid-s8921" xml:space="preserve">ſingulis horis 27000
              <lb/>
            ped. </s>
            <s xml:id="echoid-s8922" xml:space="preserve">id eſt, plus duobus milliaribus gallicis: </s>
            <s xml:id="echoid-s8923" xml:space="preserve">tanta navis velocitas remigatio-
              <lb/>
            ne vix ac ne vix quidem obtineri poteſt.</s>
            <s xml:id="echoid-s8924" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8925" xml:space="preserve">Jam vero calculum alia hypotheſi ſuperſtruam, quam rei nauticæ intel-
              <lb/>
            ligentes non admodum improbaturos eſſe, confido: </s>
            <s xml:id="echoid-s8926" xml:space="preserve">quadrat enim cum mul-
              <lb/>
            tis, quos ipſe ſuper mari feci, obſervationibus: </s>
            <s xml:id="echoid-s8927" xml:space="preserve">ſupponam vela triremis perpen-
              <lb/>
            diculariter ad carinam expanſa ſuperficiem habere 1600 pedum quadratorum,
              <lb/>
            hæcque ventum excipere directe impingentem, qui ſingulis minutis ſecundis
              <lb/>
            ſpatium percurrat 18. </s>
            <s xml:id="echoid-s8928" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s8929" xml:space="preserve">navem vero in eadem directione ſic ſingulis minu-
              <lb/>
            tis ſecundis ſpatium perficere 6 pedum. </s>
            <s xml:id="echoid-s8930" xml:space="preserve">Ita ventus in vela incurret </s>
          </p>
        </div>
      </text>
    </echo>
Impressum