Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Page concordance

< >
Scan Original
351 228
352 229
353 230
354 231
355 232
356 233
357 234
358 235
359 236
360
361
362
363 237
364 238
365 239
366 240
367 241
368 242
369 243
370 244
371 245
372 246
373
374
375
376 247
377 248
378 249
379 250
380 251
< >
page |< < (242) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1265" type="section" level="1" n="323">
          <p>
            <s xml:id="echoid-s8997" xml:space="preserve">
              <pb o="242" file="0336" n="368" rhead="PHYSICES ELEMENTA"/>
            numerorum quadrata. </s>
            <s xml:id="echoid-s8998" xml:space="preserve">Unde ſequitur tempora, in qui-
              <lb/>
            bus partes reſpondentes evacuantur, etiam eſſe inter ſe ut
              <lb/>
            unum ad duo; </s>
            <s xml:id="echoid-s8999" xml:space="preserve">quia in tempore duplo, celeritate dupla,
              <lb/>
            quantitas quadrupla evacuatur. </s>
            <s xml:id="echoid-s9000" xml:space="preserve">Cum autem tempora ſint
              <lb/>
            in eadem ratione pro ſingulis partibus reſpondentibus, tem-
              <lb/>
            pora, in quibus integra vaſa evacuantur, ſunt etiam ut
              <lb/>
            unum ad duo. </s>
            <s xml:id="echoid-s9001" xml:space="preserve">Si vaſa ſint ut 1 ad 9. </s>
            <s xml:id="echoid-s9002" xml:space="preserve">tempora, ut de-
              <lb/>
            monſtratione ſimili evincitur, erunt ut 1. </s>
            <s xml:id="echoid-s9003" xml:space="preserve">ad 3; </s>
            <s xml:id="echoid-s9004" xml:space="preserve">& </s>
            <s xml:id="echoid-s9005" xml:space="preserve">in gene-
              <lb/>
            re tempora ſunt ut celeritates, quibus partes reſpondentes
              <lb/>
            evacuantur, quarum celeritatum quadrata ſunt ut vaſorum
              <lb/>
            altitudines, in qua ratione ergo etiam ſunt
              <note symbol="*" position="left" xlink:label="note-0336-01" xlink:href="note-0336-01a" xml:space="preserve">799.</note>
            porum.</s>
            <s xml:id="echoid-s9006" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1277" type="section" level="1" n="324">
          <head xml:id="echoid-head451" xml:space="preserve">
            <emph style="sc">Experimentum i.</emph>
          </head>
          <p>
            <s xml:id="echoid-s9007" xml:space="preserve">Dentur ex metallo tenui tria vaſa cylindrica A, C, B,
              <lb/>
              <note position="left" xlink:label="note-0336-02" xlink:href="note-0336-02a" xml:space="preserve">840.</note>
            diametros æquales habentia, & </s>
            <s xml:id="echoid-s9008" xml:space="preserve">quorum altitudines ſunt ut
              <lb/>
              <note position="left" xlink:label="note-0336-03" xlink:href="note-0336-03a" xml:space="preserve">TAB. XXXIII.
                <lb/>
              fig 7.</note>
            unum, tria, & </s>
            <s xml:id="echoid-s9009" xml:space="preserve">quatuor; </s>
            <s xml:id="echoid-s9010" xml:space="preserve">unumquodque inciſionem in ora ha-
              <lb/>
            beat, qua effluit aqua certam ſuperans altitudinem, quæ pro
              <lb/>
            vaſis altitudine habetur; </s>
            <s xml:id="echoid-s9011" xml:space="preserve">in fundis vaſorum A & </s>
            <s xml:id="echoid-s9012" xml:space="preserve">B, quæ
              <lb/>
            ſunt ut unum & </s>
            <s xml:id="echoid-s9013" xml:space="preserve">quatuor, foramina æqualia dentur, & </s>
            <s xml:id="echoid-s9014" xml:space="preserve">a-
              <lb/>
            quà impleantur; </s>
            <s xml:id="echoid-s9015" xml:space="preserve">eodem momento foramina aperiantur; </s>
            <s xml:id="echoid-s9016" xml:space="preserve">ſi
              <lb/>
            aqua ex B fluens vaſe C recipiatur, impletur hoc in tem-
              <lb/>
            pore in quo A evacuatur: </s>
            <s xml:id="echoid-s9017" xml:space="preserve">C continet tres partes quartas
              <lb/>
            vaſis B; </s>
            <s xml:id="echoid-s9018" xml:space="preserve">partem quartam, quæ ſupereſt, æquali etiamtem-
              <lb/>
            pore cum vaſe A evacuari, a nemine in dubium vocari po-
              <lb/>
            teſt; </s>
            <s xml:id="echoid-s9019" xml:space="preserve">bis ergo evacuatur A, dum B ſemel.</s>
            <s xml:id="echoid-s9020" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9021" xml:space="preserve">Tempora, in quibus vaſa cylindrica quæcunque evacuan-
              <lb/>
              <note position="left" xlink:label="note-0336-04" xlink:href="note-0336-04a" xml:space="preserve">841.</note>
            tur, ſunt in ratione compoſita baſium , inverſa
              <note symbol="*" position="left" xlink:label="note-0336-05" xlink:href="note-0336-05a" xml:space="preserve">838.</note>
            num , & </s>
            <s xml:id="echoid-s9022" xml:space="preserve">radicum quadratarum altitudinum .</s>
            <s xml:id="echoid-s9023" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">837.</note>
          <note symbol="*" position="left" xml:space="preserve">839.</note>
          <p>
            <s xml:id="echoid-s9024" xml:space="preserve">Dividi ita poteſt, vas cylindricum, ut partes inter diviſio-
              <lb/>
              <note position="left" xlink:label="note-0336-08" xlink:href="note-0336-08a" xml:space="preserve">842.</note>
            nes interceptæ æqualibus temporibus evacuentur, quod
              <lb/>
              <note position="left" xlink:label="note-0336-09" xlink:href="note-0336-09a" xml:space="preserve">TAB. XXXIII.
                <lb/>
              fig 6.</note>
            fiet, ſi diviſionum a baſi diſtantiæ fuerint ut numerorum na-
              <lb/>
            turalium quadrata; </s>
            <s xml:id="echoid-s9025" xml:space="preserve">tempora enim evacuationum vaſorum,
              <lb/>
            quorum altitudines hanc ſequuntur proportionem, ſunt
              <lb/>
            ut numeri naturales , & </s>
            <s xml:id="echoid-s9026" xml:space="preserve">temporum differentiæ
              <note symbol="*" position="left" xlink:label="note-0336-10" xlink:href="note-0336-10a" xml:space="preserve">839.</note>
            les.</s>
            <s xml:id="echoid-s9027" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9028" xml:space="preserve">Tempus in quo vas cylindricum evacuatur eſt ut </s>
          </p>
        </div>
      </text>
    </echo>
Impressum