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

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              <pb o="301" file="0405" n="442" rhead="MATHEMATICA. LIB. II. CAP. XIV."/>
            hujus diviſiones inæquales, indicantes æquales partes cavi-
              <lb/>
            tatis tubi HI.</s>
            <s xml:id="echoid-s10946" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10947" xml:space="preserve">Si tubus hic exacte cylindricus foret, æquales hæ forent
              <lb/>
            diviſiones, cumque raro admodum hoc contingat, dicam
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            quomodo diviſiones regulæ LM notentur.</s>
            <s xml:id="echoid-s10948" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10949" xml:space="preserve">Invertitur tubus HI, ipſique regulæ applicatur ita,
              <lb/>
            ut index in I extremitati regulæ reſpondeat. </s>
            <s xml:id="echoid-s10950" xml:space="preserve">In-
              <lb/>
            funditur mercurius exiguâ copià, cujus ex. </s>
            <s xml:id="echoid-s10951" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s10952" xml:space="preserve">altitu-
              <lb/>
            do in tubo quartam aut tertiam partem poll. </s>
            <s xml:id="echoid-s10953" xml:space="preserve">valeat, nota-
              <lb/>
            turque in regula altitudo ad quam pertingit; </s>
            <s xml:id="echoid-s10954" xml:space="preserve">æqualis quan-
              <lb/>
            titas mercurii iterum ſuperinfunditur, ſecundaque diviſio
              <lb/>
            notatur; </s>
            <s xml:id="echoid-s10955" xml:space="preserve">ſicque continuando regula tota dividi poteſt. </s>
            <s xml:id="echoid-s10956" xml:space="preserve">Æ-
              <lb/>
            quales mercurii quantitates ipſas ponderando determinan-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s10957" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s10958" xml:space="preserve">Sed longum & </s>
            <s xml:id="echoid-s10959" xml:space="preserve">difficile eſt, tot portiunculas mercurii ſepa-
              <lb/>
            rare ita, ut exacte æqualiter ponderent; </s>
            <s xml:id="echoid-s10960" xml:space="preserve">ideò, ſi tubus re-
              <lb/>
            gularis ſit, id eſt, ſi ſit portio coni truncanti, ut contin-
              <lb/>
            git plerumque, ſi etiam parum a cylindro differat,
              <lb/>
            quod facile habetur, alia methodo uti poſſumus; </s>
            <s xml:id="echoid-s10961" xml:space="preserve">quia in
              <lb/>
            hoc caſu diviſiones a progreſſione arithmetica non ſenſibi-
              <lb/>
            liter aberrant.</s>
            <s xml:id="echoid-s10962" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10963" xml:space="preserve">Primæ quatuor aut quinque diviſiones, methodo indica-
              <lb/>
            tâ, notandæ ſunt, quia dum hermeticè clauditur tubus
              <lb/>
            non regularem ſervat figuram; </s>
            <s xml:id="echoid-s10964" xml:space="preserve">deinde decupla aut duo-
              <lb/>
            decupla mercurii quantitas infundenda tubo erit, & </s>
            <s xml:id="echoid-s10965" xml:space="preserve">diviſio
              <lb/>
            notanda erit, quæ ab ultima notata diſtabit, partibus de-
              <lb/>
            cem aut duodecim partibus minoribus, & </s>
            <s xml:id="echoid-s10966" xml:space="preserve">continuando re-
              <lb/>
            liquum regulæ, eodem modo in partes tales majores, æ-
              <lb/>
            quales portiones capacitatis tubi deſignantes, dividendum
              <lb/>
            erit; </s>
            <s xml:id="echoid-s10967" xml:space="preserve">quæ dein geometrice ſubdividi debent ita, ut omnes
              <lb/>
            minores continuam forment arithmeticam progreſſionem.</s>
            <s xml:id="echoid-s10968" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10969" xml:space="preserve">Examinandum autem an majores notatæ diviſiones in a-
              <lb/>
            rithmetica ſint progreſſione, ſin minus geometrica divi-
              <lb/>
            ſio, propter tubi irregularitatem, locum habere nequit.</s>
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