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

List of thumbnails

< >
191
191 (177) 		192
192 (178)
193
193 (179) 		194
194 (180)
195
195 (181) 		196
196 (182)
197
197 (183) 		198
198 (184)
199
199 (185) 		200
200 (186)
< >
page |< < (180) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div215" type="section" level="1" n="169">
          <pb o="180" file="0194" n="194" rhead="HYDRODYNAMICÆ"/>
        </div>
        <div xml:id="echoid-div216" type="section" level="1" n="170">
          <head xml:id="echoid-head218" xml:space="preserve">Scholium 2.</head>
          <p>
            <s xml:id="echoid-s5190" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5191" xml:space="preserve">25. </s>
            <s xml:id="echoid-s5192" xml:space="preserve">Omnia ſimiliter ſe habent ſi corpus non verticaliter, ſed ſu-
              <lb/>
            per plano utcunque inclinato, aut etiam curva qualicunque elevetur, ſem-
              <lb/>
            per enim tota potentia abſoluta erit æqualis A (a + b), id eſt, producto ex
              <lb/>
            pondere in altitudinem elevationis auctam altitudine velocitati corporis in
              <lb/>
            ſummitate reſiduæ debita, cujus rei demonſtratione ſuperſedeo, quod pa-
              <lb/>
            rum differt à præcedente demonſtratione.</s>
            <s xml:id="echoid-s5193" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div217" type="section" level="1" n="171">
          <head xml:id="echoid-head219" xml:space="preserve">Scholium Generale.</head>
          <p>
            <s xml:id="echoid-s5194" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5195" xml:space="preserve">26. </s>
            <s xml:id="echoid-s5196" xml:space="preserve">Quia omnium machinarum utcunque compoſitarum effectus
              <lb/>
            reduci poſſunt ad naturam plani inclinati, perſpicuum eſt omnes machi-
              <lb/>
            nas, ſi à frictionibus iisque potentiarum abſolutarum diſpendiis, quæ hactenus
              <lb/>
            recenſuimus, animum removeamus eodem recidere, quia potentia abſoluta ſim-
              <lb/>
            pliciter pendet ab altitudine ad quam corpus eſt elevandum ejusdemque pon-
              <lb/>
            dere. </s>
            <s xml:id="echoid-s5197" xml:space="preserve">Habet hoc commune potentia abſoluta cum vi viva ſeu cum aſcenſu de-
              <lb/>
            ſcenſuve actuali. </s>
            <s xml:id="echoid-s5198" xml:space="preserve">Isque ultimus eſt perfectionis machinarum gradus, quem
              <lb/>
            transgredi non licet, imo nec attingere quidem, ſemper enim remotis om-
              <lb/>
            nibus frictionibus diſpendiisque, potuiſſet eadem potentia abſoluta majus pon-
              <lb/>
            dus ad eandem altitudinem elevari. </s>
            <s xml:id="echoid-s5199" xml:space="preserve">Ut jam comparatio inſtitui poſſit quæ-
              <lb/>
            dam circa machinarum defectum, tam illarum quæ aquas ad deſideratam
              <lb/>
            altitudinem veluti projiciunt, quam quæ easdem transportant, nunc ha-
              <lb/>
            rum poſteriorum defectus maxime notabiles quoque indicabimus.</s>
            <s xml:id="echoid-s5200" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5201" xml:space="preserve">(I.) </s>
            <s xml:id="echoid-s5202" xml:space="preserve">Frictiones tanto obſtaculo ſunt in plerisque hujusmodi machinis,
              <lb/>
            ut ſolæ maximam potentiæ partem abſorbeant, præſertim autem cum aſſerculi
              <lb/>
            quadrati aut globi ovales, catena in circulum redeunte connexi, per cana-
              <lb/>
            lem, cui ſunt accommodati, transeuntis aquas elevant.</s>
            <s xml:id="echoid-s5203" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5204" xml:space="preserve">(II.) </s>
            <s xml:id="echoid-s5205" xml:space="preserve">Pleræque machinæ, præſertim vero rurſus quas modo indicavi-
              <lb/>
            mus, roſariorum nomine deſignari ſolitæ ita ſunt comparatæ, ut aqua dum
              <lb/>
            elevatur continue pars ejus deſtillet, ſive plane decidat in locum ex quo
              <lb/>
            hauſta fuit ſive ſaltem ex loco ſuperiori in inferiorem, uti in roſariis; </s>
            <s xml:id="echoid-s5206" xml:space="preserve">ſi in
              <lb/>
            his globuli aut aſſerculi canali ſunt bene adaptati frictio fit fere inſuperabi-
              <lb/>
            lis, ſin minus maxima aquæ quantitas per hiatus relictos deſtillat, ex </s>
          </p>
        </div>
      </text>
    </echo>
Impressum