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

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        <div xml:id="echoid-div828" type="section" level="1" n="212">
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            <s xml:id="echoid-s5810" xml:space="preserve">
              <pb o="147" file="0215" n="234" rhead="MATHEMATICA. LIB. I. CAP. XXIII."/>
            ſtrui curavi, qua, quantum poteſt exacte, & </s>
            <s xml:id="echoid-s5811" xml:space="preserve">omnino ſine ſenſibili errore, ex-
              <lb/>
            perimentum inſtituitur: </s>
            <s xml:id="echoid-s5812" xml:space="preserve">& </s>
            <s xml:id="echoid-s5813" xml:space="preserve">poſt experimentum inſtitutum circa hoc com-
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            putationem inivi.</s>
            <s xml:id="echoid-s5814" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div830" type="section" level="1" n="213">
          <head xml:id="echoid-head302" xml:space="preserve">BILANX</head>
          <head xml:id="echoid-head303" style="it" xml:space="preserve">Qua altitudines conferuntur, a quibus corpus cadens, pondera
            <lb/>
          paululum elevat.</head>
          <p>
            <s xml:id="echoid-s5815" xml:space="preserve">Libræ jugum eſt AB; </s>
            <s xml:id="echoid-s5816" xml:space="preserve">pede ſuſtinetur, dum circa centrum, ut in aliis li-
              <lb/>
              <note position="right" xlink:label="note-0215-01" xlink:href="note-0215-01a" xml:space="preserve">546.</note>
            bris, volubile eſt: </s>
            <s xml:id="echoid-s5817" xml:space="preserve">Lanx L ferrea eſt; </s>
            <s xml:id="echoid-s5818" xml:space="preserve">oppoſita M eſt lignea & </s>
            <s xml:id="echoid-s5819" xml:space="preserve">orbicularis,
              <lb/>
              <note position="right" xlink:label="note-0215-02" xlink:href="note-0215-02a" xml:space="preserve">TAB. XX.
                <lb/>
              fig. 4.</note>
            excavata ad profunditatem pollicis. </s>
            <s xml:id="echoid-s5820" xml:space="preserve">Hæc, ubi experimenta inſtituenda ſunt,
              <lb/>
            argillâ molli repletur, quæ cultro ligneo abraditur, ut inæqualitatibus exem-
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            ptam, & </s>
            <s xml:id="echoid-s5821" xml:space="preserve">horizontalem, habeat ſuperficiem; </s>
            <s xml:id="echoid-s5822" xml:space="preserve">qua de cauſa lanx hæc faciletol-
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            li poteſt, iterumque in loco ſuo ſuſpendi. </s>
            <s xml:id="echoid-s5823" xml:space="preserve">Diſtantia B M excedit pedes tres,
              <lb/>
            quare in menſæ extremitate ponenda Machina eſt.</s>
            <s xml:id="echoid-s5824" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5825" xml:space="preserve">Globus G filo ſuſpenditur, & </s>
            <s xml:id="echoid-s5826" xml:space="preserve">unco laminæ D cohærenti alligatur.</s>
            <s xml:id="echoid-s5827" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5828" xml:space="preserve">Pondus Q lanci L imponitur, ut detur æquilibrium. </s>
            <s xml:id="echoid-s5829" xml:space="preserve">Quibus poſitis, adji-
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            citur pondus ictu elevandum P, & </s>
            <s xml:id="echoid-s5830" xml:space="preserve">ut jugum in ſitu maneat horizontali, bra-
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            chium A, quod nunc magis gravatur, gnomone ferreo, cum pede cohæren-
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            ti, ſuſtinetur. </s>
            <s xml:id="echoid-s5831" xml:space="preserve">Facile videmus alio pede, gnomone deſtituto, ſuſtineri debe-
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            re machinam ante impoſitum pondus P, ut de æquilibrio conſtet.</s>
            <s xml:id="echoid-s5832" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5833" xml:space="preserve">Gnomoni in f annectitur lamina elaſtica tenuis fg, quæ extenſa ad i, per-
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            tingit, ubi extremitas g retinetur, ope laminæ minimæ i, quæ cum brachio
              <lb/>
            A cohæret; </s>
            <s xml:id="echoid-s5834" xml:space="preserve">paululum elevato brachio laxatur g; </s>
            <s xml:id="echoid-s5835" xml:space="preserve">unde conſtare poteſt in va-
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            riis tentaminibus æqualiter elevati, ſi nempe, paululum tantum imminuto i-
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            ctu, quo agitatur libra, elaſterium non relaxetur.</s>
            <s xml:id="echoid-s5836" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div832" type="section" level="1" n="214">
          <head xml:id="echoid-head304" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          .</head>
          <p>
            <s xml:id="echoid-s5837" xml:space="preserve">Omnibus ut dictum diſpoſitis, poſitoque pondere P æquali unciis quatuor;
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            </s>
            <s xml:id="echoid-s5838" xml:space="preserve">
              <note position="right" xlink:label="note-0215-03" xlink:href="note-0215-03a" xml:space="preserve">547.</note>
            globum G ita ſuſpendi, ut ipſius altitudo, diſtantia nempe inter inferiorem
              <lb/>
            partem globi & </s>
            <s xml:id="echoid-s5839" xml:space="preserve">argillæ ſuperficiem, foret pollicum 6 {7/8}, & </s>
            <s xml:id="echoid-s5840" xml:space="preserve">abſciſſo filo, im-
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            pactione globi, laxata eſt lamina fg: </s>
            <s xml:id="echoid-s5841" xml:space="preserve">repetitoque variis vicibus experimen-
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            to eodem modo proceſſit hoc; </s>
            <s xml:id="echoid-s5842" xml:space="preserve">imminuta autem altitudine, quartâ parte polli-
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            cis, aut etiam minus, nunquam elaſterium fuit relaxatum, qua eadem metho-
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            do ſequentes altitudines fuere determinatæ.</s>
            <s xml:id="echoid-s5843" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5844" xml:space="preserve">Duplicato pondere P, altitudo globi fuit pollicum 14 {1/8}</s>
          </p>
          <p>
            <s xml:id="echoid-s5845" xml:space="preserve">Tandem triplicato pondere P, id eſt, poſito hoc duodecim unciarum altitu-
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            do fuit 23 {1/2} pollicum.</s>
            <s xml:id="echoid-s5846" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5847" xml:space="preserve">His omnibus altitudinibus cavitatum ictibus in argillâ formatarum profun-
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            ditates addendæ ſunt, & </s>
            <s xml:id="echoid-s5848" xml:space="preserve">altitudines neglectis exiguis fractionibus erunt
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            7. </s>
            <s xml:id="echoid-s5849" xml:space="preserve">14 {5/16}. </s>
            <s xml:id="echoid-s5850" xml:space="preserve">23 {3/4}.</s>
            <s xml:id="echoid-s5851" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5852" xml:space="preserve">Si hac eâdem machinâ eadem inſtituantur Experimenta, aliâ adhibitâ argil-
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            lâ, altitudines paululum variari poſſunt. </s>
            <s xml:id="echoid-s5853" xml:space="preserve">Si argilla minus mollis ſit cavitates
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            minores erunt, & </s>
            <s xml:id="echoid-s5854" xml:space="preserve">altitudines ſupra argillæ ſuperficiem planam majores, in-
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            tegræ autem altitudines eædem. </s>
            <s xml:id="echoid-s5855" xml:space="preserve">Sed ſi magis aut minus ponderet argilla, il-
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            lud diſcrimen dabit, nam, licet eo non mutetur materia elevanda, materia ta-
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            men movenda mutatur, unde diſcrimen neceſſario ſequitur, ut hoc compu-
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            tatione ſequenti clarius patebit.</s>
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