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

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          <pb o="265" file="0363" n="397" rhead="MATHEMATICA. LIB. II. CAP. XI."/>
          <note position="right" xml:space="preserve">911.</note>
          <note position="right" xml:space="preserve">
            <lb/>
          Velocitates # Reſiſtentiæ globi H. # Reſiſtentiæ globi G in exp. I.
            <lb/>
          1 # {3/4} + # {3/4} - 2 # 2 {3/4} # 1 {1/2} - 3 # 6 -- # 3 -- 4 # 9 {3/4} + # 4 {3/4} 5 # 15 {1/4} # 7 {3/4} 6 # 21 # 10 {1/2} 7 # 28 # </note>
          <p>
            <s xml:id="echoid-s9679" xml:space="preserve">Reſiſtentiæ in minori velocitate ſolæ ſunt quæ cum propo-
              <lb/>
            ſitione non congruunt; </s>
            <s xml:id="echoid-s9680" xml:space="preserve">ſed jam in experimento præcedenti
              <lb/>
            vidimus illam corrigendam eſſe, quæ in illo experimento
              <lb/>
            fuit detecta; </s>
            <s xml:id="echoid-s9681" xml:space="preserve">reſiſtentia verò ibi in regulari ſerie poſita,
              <lb/>
            dimidium eſt illius, quæ, in eadem velocitate, in hoc ulti-
              <lb/>
            mo experimento, fuit determinata.</s>
            <s xml:id="echoid-s9682" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9683" xml:space="preserve">Reſiſtentia ex prima cauſa non mutatur pro diverſa cor-
              <lb/>
              <note position="right" xlink:label="note-0363-03" xlink:href="note-0363-03a" xml:space="preserve">912.</note>
            poris figura, ſi modo cavitas formata in motu eadem ſit ;</s>
            <s xml:id="echoid-s9684" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0363-04" xlink:href="note-0363-04a" xml:space="preserve">893 464.</note>
            quare in cono & </s>
            <s xml:id="echoid-s9685" xml:space="preserve">cylindro juxta axeos directionem motis,
              <lb/>
            ut & </s>
            <s xml:id="echoid-s9686" xml:space="preserve">in globo, ſi horum corporum diametri fuerint æqua-
              <lb/>
            les, & </s>
            <s xml:id="echoid-s9687" xml:space="preserve">agatur de eodem fluido, & </s>
            <s xml:id="echoid-s9688" xml:space="preserve">eadem velocitate, re-
              <lb/>
            ſiſtentia eadem eſt.</s>
            <s xml:id="echoid-s9689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9690" xml:space="preserve">Reſiſtentia autem ex ſecunda cauſa variat pro diverſa
              <lb/>
              <note position="right" xlink:label="note-0363-05" xlink:href="note-0363-05a" xml:space="preserve">913.</note>
            corporis figura; </s>
            <s xml:id="echoid-s9691" xml:space="preserve">nam licet ſluidum quieſcens quaqua ver ſum æ-
              <lb/>
            quali vi premat, hoc ad preſſionem ex motu oriundam non
              <lb/>
            debere referri facile patet, quæ juxta unicam tantum dire-
              <lb/>
            ctionem agit, & </s>
            <s xml:id="echoid-s9692" xml:space="preserve">non tota ſuſtinetur niſi a plano ad hanc di-
              <lb/>
            ctionem perpendiculari.</s>
            <s xml:id="echoid-s9693" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9694" xml:space="preserve">Demonſtramus in ſcholio ſequenti reſiſtentiam cylindri
              <lb/>
              <note position="right" xlink:label="note-0363-06" xlink:href="note-0363-06a" xml:space="preserve">914.</note>
            ſe babere ad coni reſiſtentiam, ſi ambo fuerint recti, & </s>
            <s xml:id="echoid-s9695" xml:space="preserve">eâ-
              <lb/>
            dem velocitate, juxta axium directiones, in eodem fluido, mo-
              <lb/>
            ti, ut linea in coni ſuperficie, à vertice ad punctum quod-
              <lb/>
            cunque baſeos ducta, ad ſemidiametrum baſeos.</s>
            <s xml:id="echoid-s9696" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9697" xml:space="preserve">Cylindri autem recti & </s>
            <s xml:id="echoid-s9698" xml:space="preserve">globi reſiſtentias eſſe inter ſe ut
              <lb/>
              <note position="right" xlink:label="note-0363-07" xlink:href="note-0363-07a" xml:space="preserve">915.</note>
            tria ad duo, ſi diametri fuerint æquales, & </s>
            <s xml:id="echoid-s9699" xml:space="preserve">ille juxta </s>
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