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

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            <s xml:id="echoid-s110" xml:space="preserve">
              <pb o="5" file="0019" n="19" rhead="SECTIO PRIMA."/>
            legitimæ tum menſuræ, tum poſitionis, cui ſtatim ſiſtulæ amplioris moduli
              <lb/>
            ſubjectæ ſint, quod ita eſſe, recteque a Fabretto indicatum fuiſſe, ſuo loco
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            monſtrabo, quamvis Viri alias acutiſſimi, id non ſatis ſibi liquere vel potius
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            de eo ſe dubitare, innuerint.</s>
            <s xml:id="echoid-s111" xml:space="preserve"/>
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            <s xml:id="echoid-s112" xml:space="preserve">§. </s>
            <s xml:id="echoid-s113" xml:space="preserve">5. </s>
            <s xml:id="echoid-s114" xml:space="preserve">Quod autem veteres obſcure & </s>
            <s xml:id="echoid-s115" xml:space="preserve">ſine veris menſuris viderunt, id
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            demum Cl. </s>
            <s xml:id="echoid-s116" xml:space="preserve">Gulielminus in Tract. </s>
            <s xml:id="echoid-s117" xml:space="preserve">de aquarum fluentium menſura propoſitione ac-
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            curatiori & </s>
            <s xml:id="echoid-s118" xml:space="preserve">generaliori complexus eſt tali, eandem velocitatem, inquiens, eſſe
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            aquæ fluentis per canalem inclinatum, ac ſi fluxerit e vaſe per lumen ſimile, & </s>
            <s xml:id="echoid-s119" xml:space="preserve">æquale ſe-
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            ctioni, tantundem a ſuperficie aquæ remotum, quantum ſectio ab Horizontali per initium
              <lb/>
            alvei, quam propoſitionem impugnavit Dionyſius Papinus, ipſe multum a ve-
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            ritate aberrans. </s>
            <s xml:id="echoid-s120" xml:space="preserve">Quoniam autem in eo ſumus, ut commenta, tum Hydroſtatica,
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            tum Hydraulica præcipua recenſeamus, hoc loco etiam numerandum eſt il-
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            lud, de preſſione fluidorum ex impetu cognoſcenda, nempe vim fluidi, in pla-
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            num ad angulum rectum irruentis data velocitate, æqualem eſſe ponderi cylindrici fluidi
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            ſuper illo plano extructi, cujus altitudo talis ſit, ex qua mobile libere cadendo a quiete
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            fluidi velocitatem acquirat. </s>
            <s xml:id="echoid-s121" xml:space="preserve">Problematis hujus utiliſſimi ope æſtimare licet vim
              <lb/>
            fluidorum machinas agitantium, aut, quale eſt ventus, naves propellentium,
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            motus corporum in mediis reſiſtentibus plurimaque alia. </s>
            <s xml:id="echoid-s122" xml:space="preserve">De Hydroſtatica au-
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            tem, quæ tubulis tenuiſſimis ſeu capillaribus particularis eſt, nihil dico, quia
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            hactenus ad Leges generales omnibus fluidis communes reduci non potuit:
              <lb/>
            </s>
            <s xml:id="echoid-s123" xml:space="preserve">Incertus præterea eſt Author, qui primus horum tubulorum indolem obſer-
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            vaverit; </s>
            <s xml:id="echoid-s124" xml:space="preserve">conſtat tamen recentem eſſe obſervationem, quia de illa in libris an-
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            te hos 70. </s>
            <s xml:id="echoid-s125" xml:space="preserve">vel 80. </s>
            <s xml:id="echoid-s126" xml:space="preserve">annos editis nihil videre eſt.</s>
            <s xml:id="echoid-s127" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s128" xml:space="preserve">§. </s>
            <s xml:id="echoid-s129" xml:space="preserve">6. </s>
            <s xml:id="echoid-s130" xml:space="preserve">Authores præter citatos a Galilæi temporibus, in rebus aquariis
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            celebriores ſunt Torricellius, Borellus, Vivianus, Paſcalius, Boilius, recen-
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            tioris ætatis ſunt Varignonius, Newtonus, Polen@@@, Hermannus, Jacobus & </s>
            <s xml:id="echoid-s131" xml:space="preserve">
              <lb/>
            Johannes Bernoulli, quorum inventa extant in Comment. </s>
            <s xml:id="echoid-s132" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s133" xml:space="preserve">Reg. </s>
            <s xml:id="echoid-s134" xml:space="preserve">Sc.
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            </s>
            <s xml:id="echoid-s135" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s136" xml:space="preserve">Princ. </s>
            <s xml:id="echoid-s137" xml:space="preserve">Math. </s>
            <s xml:id="echoid-s138" xml:space="preserve">phil. </s>
            <s xml:id="echoid-s139" xml:space="preserve">@@@. </s>
            <s xml:id="echoid-s140" xml:space="preserve">@ractatu de Caſtellis notiſque ad Frontinum, Pho-
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            ronomia, Actis Lipſ.</s>
            <s xml:id="echoid-s141" xml:space="preserve">, aliisque operibus variis. </s>
            <s xml:id="echoid-s142" xml:space="preserve">Quæ vero circa curvatura@
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            ex preſſione fluidi genitas aliaque hujusmodi inventa a Geometris exhibita fue-
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            runt, quia facile ad Geometriam puram reducuntur, utut de reliquo omni
              <unsure/>
              <lb/>
            laude digna ſilentio prætereo.</s>
            <s xml:id="echoid-s143" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s144" xml:space="preserve">Expoſitis his, quæ ad alios pertinent, æquum eſſe ſentio, ut meorum quo-
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            que ratione ſubducta, dicam ſincere, an aliqua & </s>
            <s xml:id="echoid-s145" xml:space="preserve">quanta Hydrodynamicæ </s>
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