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

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          <p>
            <s xml:id="echoid-s3350" xml:space="preserve">
              <pb o="79" file="0133" n="145" rhead="MATHEMATICA. LIB. I. CAP. XX."/>
            volutionibus ſemper eſt eadem; </s>
            <s xml:id="echoid-s3351" xml:space="preserve">eaque cum celeritate, & </s>
            <s xml:id="echoid-s3352" xml:space="preserve">
              <lb/>
            directione horizontali, motum continuat.</s>
            <s xml:id="echoid-s3353" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div511" type="section" level="1" n="160">
          <head xml:id="echoid-head232" xml:space="preserve">
            <emph style="sc">Experimentum.</emph>
          </head>
          <p>
            <s xml:id="echoid-s3354" xml:space="preserve">Junctis tribus Machinæ partibus; </s>
            <s xml:id="echoid-s3355" xml:space="preserve">ut in fig. </s>
            <s xml:id="echoid-s3356" xml:space="preserve">4.</s>
            <s xml:id="echoid-s3357" xml:space="preserve">, dimittatur
              <lb/>
              <note position="right" xlink:label="note-0133-01" xlink:href="note-0133-01a" xml:space="preserve">329.</note>
            globus P ab E, impinget in F. </s>
            <s xml:id="echoid-s3358" xml:space="preserve">Sublata parte minori C, ite-
              <lb/>
            rum dimittatur globus, impinget in G. </s>
            <s xml:id="echoid-s3359" xml:space="preserve">Sublata tandem
              <lb/>
            parte B, & </s>
            <s xml:id="echoid-s3360" xml:space="preserve">globo dimiſſo, impingit in H.</s>
            <s xml:id="echoid-s3361" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3362" xml:space="preserve">Si argilla mollis detur in H & </s>
            <s xml:id="echoid-s3363" xml:space="preserve">G, punctum impactus exa-
              <lb/>
            ctiſſime notatur; </s>
            <s xml:id="echoid-s3364" xml:space="preserve">in puncto F, propter directionem motus
              <lb/>
            nimium obliquam, hæc methodus locum non habet; </s>
            <s xml:id="echoid-s3365" xml:space="preserve">ſed
              <lb/>
            repetitis Experimentis, ſolo viſu, punctum hocce ſatis de-
              <lb/>
            terminatur.</s>
            <s xml:id="echoid-s3366" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3367" xml:space="preserve">Propoſitio n. </s>
            <s xml:id="echoid-s3368" xml:space="preserve">257, hac Machina Experimento confirma-
              <lb/>
              <note position="right" xlink:label="note-0133-02" xlink:href="note-0133-02a" xml:space="preserve">330.</note>
            tur; </s>
            <s xml:id="echoid-s3369" xml:space="preserve">nam ut ſtatim dictum, globus devolvens per EA im-
              <lb/>
              <note position="right" xlink:label="note-0133-03" xlink:href="note-0133-03a" xml:space="preserve">TAB XIII.
                <lb/>
              fig. 3.</note>
            pingit in H. </s>
            <s xml:id="echoid-s3370" xml:space="preserve">Devolvendo per EA acquirit celeritatem,
              <lb/>
            quam cadendo per ED potuiſſet acquirere ; </s>
            <s xml:id="echoid-s3371" xml:space="preserve">ea cum
              <note symbol="*" position="right" xlink:label="note-0133-04" xlink:href="note-0133-04a" xml:space="preserve">271.</note>
            tate, ex puncto A, horizontaliter projicitur, & </s>
            <s xml:id="echoid-s3372" xml:space="preserve">æquabili-
              <lb/>
            ter ſecundum illam directionem movetur per b H, dum ca-
              <lb/>
            dendo percurrit A b, ipſi ED æqualem; </s>
            <s xml:id="echoid-s3373" xml:space="preserve">b H vero eſt i-
              <lb/>
            pſius A b aut ED dupla.</s>
            <s xml:id="echoid-s3374" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3375" xml:space="preserve">Quæ de curva a corpore horizontaliter projecto dicta ſunt,
              <lb/>
              <note position="right" xlink:label="note-0133-05" xlink:href="note-0133-05a" xml:space="preserve">331.</note>
            etiam pertinent ad projectionem quamcumque.</s>
            <s xml:id="echoid-s3376" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3377" xml:space="preserve">Projiciatur corpus per AE; </s>
            <s xml:id="echoid-s3378" xml:space="preserve">& </s>
            <s xml:id="echoid-s3379" xml:space="preserve">ſint AB, BC, CD, DE,
              <lb/>
              <note position="right" xlink:label="note-0133-06" xlink:href="note-0133-06a" xml:space="preserve">TAB. XIII.
                <lb/>
              fig. 506.</note>
            æquales; </s>
            <s xml:id="echoid-s3380" xml:space="preserve">corpus percurret curvam AFGHI ita, ut ver-
              <lb/>
            ticales lineæ BF, CG, DH, EI ſint inter ſe, ut I. </s>
            <s xml:id="echoid-s3381" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3382" xml:space="preserve">9.
              <lb/>
            </s>
            <s xml:id="echoid-s3383" xml:space="preserve">& </s>
            <s xml:id="echoid-s3384" xml:space="preserve">16.</s>
            <s xml:id="echoid-s3385" xml:space="preserve">; in quo caſu etiam curva Parabola vocatur.</s>
            <s xml:id="echoid-s3386" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div516" type="section" level="1" n="161">
          <head xml:id="echoid-head233" xml:space="preserve">
            <emph style="sc">Definitio.</emph>
          </head>
          <p>
            <s xml:id="echoid-s3387" xml:space="preserve">Sit AI planum quod per A tranſit, ſi curva memorata
              <lb/>
              <note position="right" xlink:label="note-0133-07" xlink:href="note-0133-07a" xml:space="preserve">332.</note>
            hoc ſecet in I; </s>
            <s xml:id="echoid-s3388" xml:space="preserve">AI vocatur amplitudo jactus</s>
          </p>
          <p>
            <s xml:id="echoid-s3389" xml:space="preserve">Motus corporum, quæ eadem celeritate projiciuntur, cum
              <lb/>
            directionibus diverſe inclinatis, poſſunt inter ſe comparari:</s>
            <s xml:id="echoid-s3390" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3391" xml:space="preserve">Poteſtque corpus celeritate data in plano dato ad diſtantiam
              <lb/>
              <note position="right" xlink:label="note-0133-08" xlink:href="note-0133-08a" xml:space="preserve">333.</note>
            quamcunque projici. </s>
            <s xml:id="echoid-s3392" xml:space="preserve">Sit celeritas data illa, quam corpus acqui-
              <lb/>
            rit cadendo ab altitudine LA, quam horizonti AT perpendi-
              <lb/>
            cularem concipimus, & </s>
            <s xml:id="echoid-s3393" xml:space="preserve">corpus in plano AI in I projicien-
              <lb/>
            dum ſit. </s>
            <s xml:id="echoid-s3394" xml:space="preserve">Ductâ LN horizonti parallelâ, erigatur AN </s>
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