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

Page concordance

< >
Scan Original
111 97
112 98
113 99
114 100
115 101
116 102
117 103
118 104
119 105
120 106
121 107
122 108
123 109
124 110
125 111
126 112
127 113
128 114
129 115
130 116
131 117
132 118
133 119
134 120
135 121
136 122
137 123
138
139 125
140 126
< >
page |< < (172) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div202" type="section" level="1" n="158">
          <p>
            <s xml:id="echoid-s4996" xml:space="preserve">
              <pb o="172" file="0186" n="186" rhead="HYDRODYNAMICÆ"/>
            nis n, & </s>
            <s xml:id="echoid-s4997" xml:space="preserve">alterutrum foraminum o, p, quibus ſingulis ſit amplitudo α; </s>
            <s xml:id="echoid-s4998" xml:space="preserve">ita erit
              <lb/>
            diſpendium potentiæ abſolutæ = {nn/αα}, poſita potentiâ integra = 1 + {nn/aα},
              <lb/>
            quæ quantitates ſunt ut n n ad n n + α α. </s>
            <s xml:id="echoid-s4999" xml:space="preserve">Conſiderabile certe eſt hoc diſpen-
              <lb/>
            dium, ſi iconibus harum machinarum fidere licet, in quibus fæpe orificia
              <lb/>
            o & </s>
            <s xml:id="echoid-s5000" xml:space="preserve">p minora ſunt orificio effluxus H, quod ſi foret plus quam dimidium
              <lb/>
            perderetur potentiæ abſolutæ. </s>
            <s xml:id="echoid-s5001" xml:space="preserve">Erunt autem canales A B & </s>
            <s xml:id="echoid-s5002" xml:space="preserve">D E per totum tra-
              <lb/>
            ctum, quantum id licet, amplificandi, ut machina parum de ſuâ præſtantia
              <lb/>
            perdat.</s>
            <s xml:id="echoid-s5003" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5004" xml:space="preserve">Ceterum fuit hæc machina excogitata, ut jactus fieret continuus per H.
              <lb/>
            </s>
            <s xml:id="echoid-s5005" xml:space="preserve">Quia tamen fieri non poteſt, quin aliquod temporis intervallum intercedat
              <lb/>
            inter ultimum emboli elevationis punctum, inſtantisque ejusdem depreſſio-
              <lb/>
            nis initium, non poterit jactus omnino eſſe continuus & </s>
            <s xml:id="echoid-s5006" xml:space="preserve">æquabilis. </s>
            <s xml:id="echoid-s5007" xml:space="preserve">Huic
              <lb/>
            vero incommodo optimum remedium attulit auctor machinæ illius, cujus
              <lb/>
            mentionem facit D. </s>
            <s xml:id="echoid-s5008" xml:space="preserve">Perrault in Comment. </s>
            <s xml:id="echoid-s5009" xml:space="preserve">ad Vitruvium pag. </s>
            <s xml:id="echoid-s5010" xml:space="preserve">318. </s>
            <s xml:id="echoid-s5011" xml:space="preserve">edit. </s>
            <s xml:id="echoid-s5012" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5013" xml:space="preserve">Paris. </s>
            <s xml:id="echoid-s5014" xml:space="preserve">
              <lb/>
            quamque in Bibliotheca Regia Paris. </s>
            <s xml:id="echoid-s5015" xml:space="preserve">aſſervari dicit; </s>
            <s xml:id="echoid-s5016" xml:space="preserve">inſerviet nobis hæc ma-
              <lb/>
            china alterius exempli loco: </s>
            <s xml:id="echoid-s5017" xml:space="preserve">figuram autem deſumam una cùm ejusdem de-
              <lb/>
            ſcriptione ex ipſo Perraultio.</s>
            <s xml:id="echoid-s5018" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div204" type="section" level="1" n="159">
          <head xml:id="echoid-head206" xml:space="preserve">Exemplum 2.</head>
          <p>
            <s xml:id="echoid-s5019" xml:space="preserve">„ Machina eſt referente præfato Perraultio, in quâ aqua expellitur ex
              <lb/>
            modiolo A (Fig. </s>
            <s xml:id="echoid-s5020" xml:space="preserve">51.) </s>
            <s xml:id="echoid-s5021" xml:space="preserve">mediante embolo B in catinum F G, ex quo aër,
              <lb/>
              <note position="left" xlink:label="note-0186-01" xlink:href="note-0186-01a" xml:space="preserve">Fig. 51.</note>
            ſi modo aliquid aquæ jam adſit, egredi non valet; </s>
            <s xml:id="echoid-s5022" xml:space="preserve">quia tubus E F us-
              <lb/>
            que ad fundum fere deſcendit: </s>
            <s xml:id="echoid-s5023" xml:space="preserve">ſic enim fit, ut aqua propulſa ex modio-
              <lb/>
            lo A per diabeten D, imumque catini occupans claudat orificium tubæ in
              <lb/>
            F, aërique tranſitum neget. </s>
            <s xml:id="echoid-s5024" xml:space="preserve">Igitur cum embolus novas intrudit aquas
              <lb/>
            in mediolum, partim aëre partim aqua, repletum, hæ aquæ de novo af-
              <lb/>
            fuſæ vim exerunt in utrumque fluidum, & </s>
            <s xml:id="echoid-s5025" xml:space="preserve">cum aqua non poſſit exilire
              <lb/>
            per tubum F E eadem velocitate qua irruit ex antlia per diabeten D, quia
              <lb/>
            ſcilicet (ſunt verba Perraultii) tubus F E in extremitate ſua E orificio per-
              <lb/>
            forata eſt multo minori, quam eſt orificium tubi D, aqua in catino ac-
              <lb/>
            cumulata aërem comprimit, ab eodemque reciproce preſſa, etiam dum
              <lb/>
            embolus elevatur, per tubam F E exilit.”</s>
            <lb/>
          </p>
          <p>
            <s xml:id="echoid-s5026" xml:space="preserve">Perditur in hâc machina magna potentiæ abſolutæ pars à tranſitu aquæ per dia-
              <lb/>
            beten D, hocque diſpendium eo majus erit, quo anguſtior eſt iſte tubulus:</s>
            <s xml:id="echoid-s5027" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum