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

Page concordance

< >
Scan Original
21 7
22 8
23 9
24 10
25 11
26 12
27 13
28 14
29 15
30 16
31 17
32 18
33 19
34 20
35 21
36 22
37 23
38 24
39 25
40 26
41 27
42 28
43 29
44 30
45 31
46 32
47 33
48 34
49 35
50 36
< >
page |< < (8) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div8" type="section" level="1" n="8">
          <p>
            <s xml:id="echoid-s193" xml:space="preserve">
              <pb o="8" file="0022" n="22" rhead="HYDRODYNAMICÆ"/>
            cum per longiſſimos rivos aut aquæductus feruntur, magnoque lumine eji-
              <lb/>
            ciuntur; </s>
            <s xml:id="echoid-s194" xml:space="preserve">tunc enim accelerationes tam celeres non ſunt, quin percipi poſſin@
              <lb/>
            quod ſingulari exemplo ex Cl. </s>
            <s xml:id="echoid-s195" xml:space="preserve">Mariotti libro de motu aquarum deſumto con-
              <lb/>
            f
              <unsure/>
            irmatur. </s>
            <s xml:id="echoid-s196" xml:space="preserve">Quoniam vero motus a quiete incipit & </s>
            <s xml:id="echoid-s197" xml:space="preserve">perpetuo creſcit, formu-
              <lb/>
            læ dantur, quarum ope vel ex fluxus tempore vel ex quantitate aquarum e-
              <lb/>
            jectarum velocitas ſingulis temporis punctis definiri poſſit & </s>
            <s xml:id="echoid-s198" xml:space="preserve">viciſſim.</s>
            <s xml:id="echoid-s199" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s200" xml:space="preserve">§. </s>
            <s xml:id="echoid-s201" xml:space="preserve">10. </s>
            <s xml:id="echoid-s202" xml:space="preserve">In ſequentibus fluida conſiderantur, quæ intra vaſa moventur,
              <lb/>
            @bi præſertim motus fluidorum reciproci ſeu oſcillatorii ad menſuras revocan-
              <lb/>
            tur, earumque affectiones indicantur. </s>
            <s xml:id="echoid-s203" xml:space="preserve">Dedit autem Newtonus Theorema ſimile
              <lb/>
            pro oſcillationibus fluidi, in tubo uniformis amplitudinis (cujus crura duo ex-
              <lb/>
            trema verticalia, intermedia pars horizontalis) oſcillantis, quod Theorema
              <lb/>
            Pater meus in Comm. </s>
            <s xml:id="echoid-s204" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s205" xml:space="preserve">Imp. </s>
            <s xml:id="echoid-s206" xml:space="preserve">Sc. </s>
            <s xml:id="echoid-s207" xml:space="preserve">Petrop. </s>
            <s xml:id="echoid-s208" xml:space="preserve">tom. </s>
            <s xml:id="echoid-s209" xml:space="preserve">2. </s>
            <s xml:id="echoid-s210" xml:space="preserve">p. </s>
            <s xml:id="echoid-s211" xml:space="preserve">201. </s>
            <s xml:id="echoid-s212" xml:space="preserve">generalius reddidit
              <lb/>
            poſita inclinatione qualicunque crurum extremorum verſus horizontem. </s>
            <s xml:id="echoid-s213" xml:space="preserve">No-
              <lb/>
            ftra Theoria totam rem ſine ulla reſtrictione complectitur, tubos conſiderans
              <lb/>
            in ſingulis locis directione ſeu poſitione atque amplitudine pro lubitu variabi-
              <lb/>
            les: </s>
            <s xml:id="echoid-s214" xml:space="preserve">oſtenditur dein, quibus in caſibus fiat, ut oſcillationes diverſæ excurſionis
              <lb/>
            ſ
              <unsure/>
            int Iſochronæ, quibus ſtantibus longitudo penduli ſimplicis Iſochroni gene-
              <lb/>
            raliſſime determinatur. </s>
            <s xml:id="echoid-s215" xml:space="preserve">Sed & </s>
            <s xml:id="echoid-s216" xml:space="preserve">præter hoc oſcillationum genus in ſubſequente
              <lb/>
            ſectione quædam aliæ examini ſubjiciuntur, veluti illæ, quæ fiunt in tubis a-
              <lb/>
            quæ infinitæ vel etiam terminatæ immerſis, in quibus ſingulari circumſpectio-
              <lb/>
            ne opus eſt, qua adhibita omnia phænomena calculo ad amuſſim reſpondent,
              <lb/>
            eadem vero neglecta tantus fit inter ea diſſenſus, quantus eſt inter leges mo-
              <lb/>
            tus, quæ pro corporibus perfecte elaſticis, iisque quæ pro mollibus valent.</s>
            <s xml:id="echoid-s217" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s218" xml:space="preserve">§. </s>
            <s xml:id="echoid-s219" xml:space="preserve">11. </s>
            <s xml:id="echoid-s220" xml:space="preserve">Poſt hæc ad alia magis compoſita progredior, motum nempe flui-
              <lb/>
            dorum conſiderans ſive homogeneorum ſive heterogeneorum, quæ per unum
              <lb/>
            aut plura foramina transfluere coguntur, priuſquam ejiciantur in aërem, ubi
              <lb/>
            regula illa communiter recepta de ſaltu aquæ ad ſupremam aquæ libellam ve-
              <lb/>
            liementer fallit, ceſſantibus etiam legibus preſſionis ordinariis. </s>
            <s xml:id="echoid-s221" xml:space="preserve">Horum autem
              <lb/>
            omnium apud Authores ne veſtigium quidem reperitur, niſi quod Mariottus
              <lb/>
            habet, loco ſupra citato part. </s>
            <s xml:id="echoid-s222" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s223" xml:space="preserve">p. </s>
            <s xml:id="echoid-s224" xml:space="preserve">m. </s>
            <s xml:id="echoid-s225" xml:space="preserve">442. </s>
            <s xml:id="echoid-s226" xml:space="preserve">de motu aquar. </s>
            <s xml:id="echoid-s227" xml:space="preserve">ubi quidem fluxum
              <lb/>
            aquarum retardari, fuiſſe ſe experientia edoctum, teſtatur, ſimul autem ma-
              <lb/>
            nifeſtat, quam procul abfuerit a vera horum motuum Theoria, & </s>
            <s xml:id="echoid-s228" xml:space="preserve">videtur ſane
              <lb/>
            hæc Theoria omnium fere principiorum, adhuc in rebus ſimilibus adhiberi ſo-
              <lb/>
            litorum, vim eludere, ita ut nihil ſit, quod noſtrorum præſtantiam magis </s>
          </p>
        </div>
      </text>
    </echo>
Impressum