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

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          <p>
            <s xml:id="echoid-s8930" xml:space="preserve">
              <pb o="300" file="0314" n="314" rhead="HYDRODYNAMICÆ"/>
            te reſpectiva 12 pedum: </s>
            <s xml:id="echoid-s8931" xml:space="preserve">vim iſtius venti æſtimo = ponderi {9 x 1600/850} ped. </s>
            <s xml:id="echoid-s8932" xml:space="preserve">cub.
              <lb/>
            </s>
            <s xml:id="echoid-s8933" xml:space="preserve">aquæ, ſeu fere 17. </s>
            <s xml:id="echoid-s8934" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s8935" xml:space="preserve">cub. </s>
            <s xml:id="echoid-s8936" xml:space="preserve">aquæ.</s>
            <s xml:id="echoid-s8937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8938" xml:space="preserve">Hæc ſi ita ſint, ſequitur navem ab elevatione aquarum 260. </s>
            <s xml:id="echoid-s8939" xml:space="preserve">operario-
              <lb/>
            rum poſſe ea velocitate propelli, qua ſingulis minutis ſecundis ſpatium per-
              <lb/>
            currat 6 {1/2}. </s>
            <s xml:id="echoid-s8940" xml:space="preserve">pedum.</s>
            <s xml:id="echoid-s8941" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8942" xml:space="preserve">Æſtimatio non admodum diverſa ſequitur ex iis, quæ D. </s>
            <s xml:id="echoid-s8943" xml:space="preserve">Chazelles
              <lb/>
            habet in Comm. </s>
            <s xml:id="echoid-s8944" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s8945" xml:space="preserve">Reg. </s>
            <s xml:id="echoid-s8946" xml:space="preserve">Sc. </s>
            <s xml:id="echoid-s8947" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s8948" xml:space="preserve">ad ann. </s>
            <s xml:id="echoid-s8949" xml:space="preserve">1702. </s>
            <s xml:id="echoid-s8950" xml:space="preserve">p. </s>
            <s xml:id="echoid-s8951" xml:space="preserve">98. </s>
            <s xml:id="echoid-s8952" xml:space="preserve">edit Pariſ. </s>
            <s xml:id="echoid-s8953" xml:space="preserve">Ut vero recte
              <lb/>
            ad inſtitutum noſtrum applicari poſſint, notandum erit in remigatione, vim
              <lb/>
            triremem propellentem non eſſe æſtimandam ex preſſione remigum in remos,
              <lb/>
            ſed ex preſſione, quam remorum extremitates aquis ſubmerſæ contra aquas
              <lb/>
            exerunt. </s>
            <s xml:id="echoid-s8954" xml:space="preserve">Ut hanc proxime definiamus, hæc prius erunt obſervanda. </s>
            <s xml:id="echoid-s8955" xml:space="preserve">Remiges
              <lb/>
            fuere adhibiti 260. </s>
            <s xml:id="echoid-s8956" xml:space="preserve">totis viribus remigantes: </s>
            <s xml:id="echoid-s8957" xml:space="preserve">ſingulis minutis primis remorum
              <lb/>
            impulſus (gallicè palades) facti ſunt 24: </s>
            <s xml:id="echoid-s8958" xml:space="preserve">integra remorum agitatio tribus abſol-
              <lb/>
            vitur motibus, quos ejuſdem durationis ponam, eorumque unus ſolus
              <lb/>
            triremem promovet: </s>
            <s xml:id="echoid-s8959" xml:space="preserve">hoc modo triremis velocitate fuit provecta, qua
              <lb/>
            ſingulis minutis ſecundis ſpatium 7 {1/5}. </s>
            <s xml:id="echoid-s8960" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s8961" xml:space="preserve">abſolvebat, pars remi intra navem
              <lb/>
            fuit 6. </s>
            <s xml:id="echoid-s8962" xml:space="preserve">pedum & </s>
            <s xml:id="echoid-s8963" xml:space="preserve">extra navem 12. </s>
            <s xml:id="echoid-s8964" xml:space="preserve">pedum: </s>
            <s xml:id="echoid-s8965" xml:space="preserve">ſuperficies autem (gallicè les pales)
              <lb/>
            omnium remorum, quæ contra aquas impelluntur, in unam collectæ D.
              <lb/>
            </s>
            <s xml:id="echoid-s8966" xml:space="preserve">Chazelles facit 130. </s>
            <s xml:id="echoid-s8967" xml:space="preserve">pedum quadratorum: </s>
            <s xml:id="echoid-s8968" xml:space="preserve">notavit porro extremitatem inter-
              <lb/>
            nam remi ſingulis agitationibus ſpatium deſcribere ſex pedum: </s>
            <s xml:id="echoid-s8969" xml:space="preserve">& </s>
            <s xml:id="echoid-s8970" xml:space="preserve">quia quævis
              <lb/>
            agitatio tempore {60/24}. </s>
            <s xml:id="echoid-s8971" xml:space="preserve">unius minuti ſecundi abſolvitur ſimulque ex tribus con-
              <lb/>
            ſtat motibus, quos pono tautochronos, apparet quamvis remi retractionem
              <lb/>
            fieri tempore {20/24}. </s>
            <s xml:id="echoid-s8972" xml:space="preserve">ſeu {5/6}. </s>
            <s xml:id="echoid-s8973" xml:space="preserve">unius minuti ſecundi & </s>
            <s xml:id="echoid-s8974" xml:space="preserve">hoc tempore extremitas remi
              <lb/>
            interna abſolvit ſpatium 6. </s>
            <s xml:id="echoid-s8975" xml:space="preserve">pedum. </s>
            <s xml:id="echoid-s8976" xml:space="preserve">Porro ob longitudinem ſuperficiei remo-
              <lb/>
            rum, quæ contra aquas impellitur, non tota eſt ad diſtantiam 12. </s>
            <s xml:id="echoid-s8977" xml:space="preserve">pedum
              <lb/>
            cenſenda: </s>
            <s xml:id="echoid-s8978" xml:space="preserve">illam igitur diſtare ponam 10. </s>
            <s xml:id="echoid-s8979" xml:space="preserve">pedibus, quaſi nempe pars remi ex-
              <lb/>
            tra navem promineret 10. </s>
            <s xml:id="echoid-s8980" xml:space="preserve">pedes longa: </s>
            <s xml:id="echoid-s8981" xml:space="preserve">hujus partis extremitas deſcribet 10. </s>
            <s xml:id="echoid-s8982" xml:space="preserve">
              <lb/>
            pedes tempore {5/6} unius minuti ſecundi: </s>
            <s xml:id="echoid-s8983" xml:space="preserve">quia vero ipſ
              <unsure/>
            a triremis velocitatem
              <lb/>
            habet, qua eodem tempore ſex pedes abſolvit, cenſendum eſt, remorum ex-
              <lb/>
            tremitates contra aquam impelli velocitate reſpectiva, qua tempore {5/6}. </s>
            <s xml:id="echoid-s8984" xml:space="preserve">min. </s>
            <s xml:id="echoid-s8985" xml:space="preserve">
              <lb/>
            ſec. </s>
            <s xml:id="echoid-s8986" xml:space="preserve">4. </s>
            <s xml:id="echoid-s8987" xml:space="preserve">pedes deſcribat: </s>
            <s xml:id="echoid-s8988" xml:space="preserve">igitur vis triremem propellens eſt æqualis vi, quam
              <lb/>
            aqua contra ſuperficiem 130. </s>
            <s xml:id="echoid-s8989" xml:space="preserve">pedum quadratorum exereret, ſi velocitate in illam
              <lb/>
            incurreret, qua tempore {5/6} min. </s>
            <s xml:id="echoid-s8990" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s8991" xml:space="preserve">4. </s>
            <s xml:id="echoid-s8992" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s8993" xml:space="preserve">abſolvat: </s>
            <s xml:id="echoid-s8994" xml:space="preserve">hanc vim ſecundum </s>
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