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

Table of Notes

< >
< >
page |< < (192) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div230" type="section" level="1" n="182">
          <pb o="192" file="0206" n="206" rhead="HYDRODYNAMICÆ"/>
          <p>
            <s xml:id="echoid-s5543" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5544" xml:space="preserve">28. </s>
            <s xml:id="echoid-s5545" xml:space="preserve">Intelligitur ex hactenus dictis, quibus titulis una machina alte-
              <lb/>
            ri præferenda ſit, quemnam machinæ perfectionis gradum admittant; </s>
            <s xml:id="echoid-s5546" xml:space="preserve">ad quid
              <lb/>
            potiſſimum attendendum ſit in illarum conſtructione & </s>
            <s xml:id="echoid-s5547" xml:space="preserve">uſu; </s>
            <s xml:id="echoid-s5548" xml:space="preserve">quanta potentiæ ab-
              <lb/>
            ſolutæ pars perdatur, aliaque ſimilia: </s>
            <s xml:id="echoid-s5549" xml:space="preserve">Equidem machinas tantum conſidera-
              <lb/>
            vimus potentiis ut dicuntur animatis motas: </s>
            <s xml:id="echoid-s5550" xml:space="preserve">facile autem apparet iiſdem legibus
              <lb/>
            ſubjectas eſſe machinas, quæ ab impetu aquarum, venti, aut ab aquarum gra-
              <lb/>
            vitatione hujusmodique aliis principiis ſunt movendæ; </s>
            <s xml:id="echoid-s5551" xml:space="preserve">ſemper enim potentia
              <lb/>
            movens ducta in tempus & </s>
            <s xml:id="echoid-s5552" xml:space="preserve">velocitatem puncti cui potentia eſt applicata, dabit
              <lb/>
            productum ex quantitate aquæ & </s>
            <s xml:id="echoid-s5553" xml:space="preserve">altitudine ad quam iſta quantitas aſſumto
              <lb/>
            tempore elevari poſſit ope machinæ propoſitæ, ſepoſitis impedimentis alienis.
              <lb/>
            </s>
            <s xml:id="echoid-s5554" xml:space="preserve">Loquor autem de machinis, quibus nihil de potentia abſoluta perditur; </s>
            <s xml:id="echoid-s5555" xml:space="preserve">fieri enim
              <lb/>
            poteſt, ut maxima pars pereat, quod ſatis oſtendimus in ſuperioribus.</s>
            <s xml:id="echoid-s5556" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5557" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5558" xml:space="preserve">29. </s>
            <s xml:id="echoid-s5559" xml:space="preserve">Apparet exinde aquam ad certam altitudinem elevatam poſſe
              <lb/>
            rurſus ſuo deſcenſu eundem præſtare effectum: </s>
            <s xml:id="echoid-s5560" xml:space="preserve">effectus autem erit æſtimandus
              <lb/>
            ex quantitate aquarum elevandarum & </s>
            <s xml:id="echoid-s5561" xml:space="preserve">ex altitudine elevationis, ſic ut v. </s>
            <s xml:id="echoid-s5562" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s5563" xml:space="preserve">deſcenſu 8. </s>
            <s xml:id="echoid-s5564" xml:space="preserve">pedum cubicorum ex altitudine unius pedis poſſint totidem rur-
              <lb/>
            ſus elevari pedes cubici ad ſimilem altitudinem aut 4. </s>
            <s xml:id="echoid-s5565" xml:space="preserve">pedes cubici ad altitudi-
              <lb/>
            nem duorum pedum, aut unus pes cubicus ad altitudinem 8. </s>
            <s xml:id="echoid-s5566" xml:space="preserve">pedum & </s>
            <s xml:id="echoid-s5567" xml:space="preserve">ſic ut-
              <lb/>
            cunque libuerit. </s>
            <s xml:id="echoid-s5568" xml:space="preserve">Specimen machinæ, quæ poſſit aquam ad quamcunque al-
              <lb/>
            titudinem elevare minimo aquarum deſcenſu, videre eſt apud D. </s>
            <s xml:id="echoid-s5569" xml:space="preserve">Perrault in
              <lb/>
            Comment. </s>
            <s xml:id="echoid-s5570" xml:space="preserve">ad Vitruvium lib. </s>
            <s xml:id="echoid-s5571" xml:space="preserve">10. </s>
            <s xml:id="echoid-s5572" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s5573" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5574" xml:space="preserve">quam machinam ut incredibile fere para-
              <lb/>
            doxon affert ejusque inventorem facit D. </s>
            <s xml:id="echoid-s5575" xml:space="preserve">Franchini Italum, cujus induſtria & </s>
            <s xml:id="echoid-s5576" xml:space="preserve">
              <lb/>
            conſiliis in horto Bibliothecæ Regiæ cum ſucceſſu conſtructa fuit. </s>
            <s xml:id="echoid-s5577" xml:space="preserve">Fundamen-
              <lb/>
            tum machinæ in eo conſiſtit, ut ſitulæ concatenatæ, & </s>
            <s xml:id="echoid-s5578" xml:space="preserve">in circulum redeuntes
              <lb/>
            aquam excipiant eamque in locum tranſportent infimum, ibique effundant,
              <lb/>
            dum alia ſitularum ſeries aquas hauriunt & </s>
            <s xml:id="echoid-s5579" xml:space="preserve">ad locum longe altiorem, minori
              <lb/>
            tamen copia ferunt atque effundunt: </s>
            <s xml:id="echoid-s5580" xml:space="preserve">perſpicuum autem eſt, ſeriem priorem
              <lb/>
            ſi omnes ſitulæ deſcendentes graviores ſint omnibus ſitulis aſcendentibus, alte-
              <lb/>
            ram perpetuo in gyrum acturam eſſe; </s>
            <s xml:id="echoid-s5581" xml:space="preserve">Machinæ etiam ſunt, quæ idem præ-
              <lb/>
            ſtant per ſimplices tubos ope epiſtomiorum ſtatis temporibus convertendorum,
              <lb/>
            in quam quidem converſionem nulla potentia impenditur. </s>
            <s xml:id="echoid-s5582" xml:space="preserve">Hujuſmodi ma-
              <lb/>
            chinationes deſcribit Carolus Fontana.</s>
            <s xml:id="echoid-s5583" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5584" xml:space="preserve">At ſi quis credat poſſe ex impetu aquarum ex certa altitudine delapſa-
              <lb/>
            rum & </s>
            <s xml:id="echoid-s5585" xml:space="preserve">in machinæ alas impingentium idem obtineri, is longe aberrabit. </s>
            <s xml:id="echoid-s5586" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum