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

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            <s xml:id="echoid-s3313" xml:space="preserve">
              <pb o="78" file="0130" n="141" rhead="PHYSICES ELEMENTA"/>
            poſt primum momentum corpus ſit in F, poſt ſecundum
              <lb/>
            erit in G, poſt tertium in H, poſt quartum in I, ita quidem
              <lb/>
            ut poſito BF unum, CG ſit quatuor, DH novem, & </s>
            <s xml:id="echoid-s3314" xml:space="preserve">EI
              <lb/>
            ſedecim . </s>
            <s xml:id="echoid-s3315" xml:space="preserve">Corpus percurret curvam tranſeuntem per
              <note symbol="*" position="left" xlink:label="note-0130-01" xlink:href="note-0130-01a" xml:space="preserve">255.</note>
            mnia puncta, quæ eodem modo ac F, G, H, I, determinari
              <lb/>
            poſſunt, vocaturque Parabola.</s>
            <s xml:id="echoid-s3316" xml:space="preserve"/>
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        <div xml:id="echoid-div507" type="section" level="1" n="159">
          <head xml:id="echoid-head230" xml:space="preserve">
            <emph style="sc">Machina</emph>
          </head>
          <head xml:id="echoid-head231" style="it" xml:space="preserve">Qua demonſtrata de corporum projectione confirmantur.</head>
          <p>
            <s xml:id="echoid-s3317" xml:space="preserve">Conſtat hæc ex tribus partibus, quarum conſtructio ex
              <lb/>
              <note position="left" xlink:label="note-0130-02" xlink:href="note-0130-02a" xml:space="preserve">328.</note>
            figura ſatis patet. </s>
            <s xml:id="echoid-s3318" xml:space="preserve">Ah eſt altitudinis ſex pollicum; </s>
            <s xml:id="echoid-s3319" xml:space="preserve">DE eſt
              <lb/>
              <note position="left" xlink:label="note-0130-03" xlink:href="note-0130-03a" xml:space="preserve">TAB. XIII.
                <lb/>
              fig. 3.</note>
            exacte ejuſdem altitudinis; </s>
            <s xml:id="echoid-s3320" xml:space="preserve">longitudo b H eſt duodecim
              <lb/>
            pollicum, poſito puncto H, ad diſtantiam unius pollicis ab
              <lb/>
            extremitate cavitatis in qua punctum hocce ponitur.</s>
            <s xml:id="echoid-s3321" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3322" xml:space="preserve">Circulariter, aut juxta aliam curvam quamcunque, ex-
              <lb/>
            cavatur EA; </s>
            <s xml:id="echoid-s3323" xml:space="preserve">& </s>
            <s xml:id="echoid-s3324" xml:space="preserve">lamina ferri, ſtanno illiti, & </s>
            <s xml:id="echoid-s3325" xml:space="preserve">admodum
              <lb/>
            politi, obtegitur; </s>
            <s xml:id="echoid-s3326" xml:space="preserve">ut globus æneus libere juxta illam cur-
              <lb/>
            vam devolvi poſſit; </s>
            <s xml:id="echoid-s3327" xml:space="preserve">in qua devolutione obſervandum, ut
              <lb/>
            curvæ directio in A ſit horizontalis.</s>
            <s xml:id="echoid-s3328" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3329" xml:space="preserve">Dividitur A h in novem partes æquales, quarum A f u-
              <lb/>
            na eſt, A g quatuor.</s>
            <s xml:id="echoid-s3330" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3331" xml:space="preserve">Quando huic primæ parti Machinæ conjungitur ſecunda
              <lb/>
              <note position="left" xlink:label="note-0130-04" xlink:href="note-0130-04a" xml:space="preserve">TAB. XIII.
                <lb/>
              fig. 4.</note>
            B, pertingit hæc ad g, & </s>
            <s xml:id="echoid-s3332" xml:space="preserve">g G eſt octo pollicum: </s>
            <s xml:id="echoid-s3333" xml:space="preserve">ſi huic ſu-
              <lb/>
            perimponatur pars tertia C, pertingit hæc ultima ad f, & </s>
            <s xml:id="echoid-s3334" xml:space="preserve">
              <lb/>
            fF eſt quatuor pollicum.</s>
            <s xml:id="echoid-s3335" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3336" xml:space="preserve">Suſtinetur Machina hæc tribus cochleis, quarum ope li-
              <lb/>
            nea A b ponitur in ſitu verticali, qui ſitus determinatur per-
              <lb/>
            pendiculo ad partem machinæ poſticam; </s>
            <s xml:id="echoid-s3337" xml:space="preserve">eodem omnino
              <lb/>
            modo ac hæc in alia Machina exhibentur in fig. </s>
            <s xml:id="echoid-s3338" xml:space="preserve">I. </s>
            <s xml:id="echoid-s3339" xml:space="preserve">Tab XII.
              <lb/>
            </s>
            <s xml:id="echoid-s3340" xml:space="preserve">& </s>
            <s xml:id="echoid-s3341" xml:space="preserve">explicantur in n. </s>
            <s xml:id="echoid-s3342" xml:space="preserve">276.</s>
            <s xml:id="echoid-s3343" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3344" xml:space="preserve">Diameter globi P, qui in Experimentis dimittitur juxta
              <lb/>
            curvam EA, eſt circiter ſemi-pollicis; </s>
            <s xml:id="echoid-s3345" xml:space="preserve">nec minori globo,
              <lb/>
            aut Machinâ, quàm quæ hìc deſcribitur, majori utendum:
              <lb/>
            </s>
            <s xml:id="echoid-s3346" xml:space="preserve">quo enim corpora ſunt minora & </s>
            <s xml:id="echoid-s3347" xml:space="preserve">motus celeriores, eo etiam
              <lb/>
            magis, ſervatâ proportione, motus aëris reſiſtentiâ re-
              <lb/>
            tardatur; </s>
            <s xml:id="echoid-s3348" xml:space="preserve">ut ſuo loco dicetur.</s>
            <s xml:id="echoid-s3349" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3350" xml:space="preserve">Quando globus P ab E dimittitur, devolvendo per cur-
              <lb/>
            vam EA certam acquirit velocitatem, quæ in repetitis </s>
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