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

Table of contents

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[401.] Experimentum 18.
[402.] Experimentum 19.
[403.] Experimentum 20.
[404.] Experimentum 21.
[405.] Experimentum 22.
[406.] CAPUT XVIII. Variarum Machinarum, quarum Actio ab Aëre pendet, Deſcriptio, & harum Effectuum Explicatio. Experimentum 1.
[407.] Experimentum 2.
[408.] Sipho, Quo aqua elevatur.
[409.] Experimentum 3.
[410.] Antliæ Vulgares.
[411.] Experimentum 4.
[412.] Fonticulus Heronis.
[413.] Experimentum 5.
[414.] CAPUT XIX. De Aëris motu undulatorio, ubi de Sono.
[415.] Experimentum i.
[416.] Experimentum 2.
[417.] Experimentum 3.
[418.] Experimentum 4.
[419.] Experimentum 5.
[420.] Experimentum 6.
[421.] Experimentum 7.
[422.] Experimentum 8.
[423.] SCHOLIUM. 1. Demonſtrationes n. 1150. 1152.
[424.] SCHOLIUM 2. De Soni intenſitate.
[425.] FINIS. CORRIGENDA.
[426.] IN MARGINE
[427.] FINIS.
[428.] De quelques Livres nouveaux & autres, que PIERRE VANDER Aa a LEIDE a imprimé oureçu de divers endroits, & quiſe trouvent dans ſa Boutique.
[429.] ET AUTRES
[430.] PHYSICES ELEMENTA
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          <pb o="273" file="0373" n="408" rhead="MATHEMATICA. LIB. II. CAP. XI."/>
          <note position="right" xml:space="preserve">935.</note>
          <note symbol="*" position="right" xml:space="preserve">923.</note>
          <note symbol="*" position="right" xml:space="preserve">908.</note>
          <note position="right" xml:space="preserve">
            <lb/>
          Velocitates. # # Reſiſtentiæ # ex # ſecundâ # cauſâ.
            <lb/>
          # # Cylindri ## Globi # comp. # Exp. # comp. # Exp. 1. # 39. # 39. # 26. # 26. 2. # 158. # 156. # 105. # 104. 3. # 356. # 351. # 237. # 234. 4. # 632. # 624. # 421. # 416. 5. # 988. # 975. # 659. # 650. 6. # 1423. # 1404. # 949. # 936. 7. # 1937. # 1911. # 1291. # </note>
          <p>
            <s xml:id="echoid-s9886" xml:space="preserve">Exiguam dari differentiam inter has reſiſtentias, compu-
              <lb/>
              <note position="right" xlink:label="note-0373-05" xlink:href="note-0373-05a" xml:space="preserve">936.</note>
            tatione detectas, & </s>
            <s xml:id="echoid-s9887" xml:space="preserve">illas, quæ experimentis deteguntur, non
              <lb/>
            mirum; </s>
            <s xml:id="echoid-s9888" xml:space="preserve">cum pendeat collatio hæc, 1. </s>
            <s xml:id="echoid-s9889" xml:space="preserve">à menſura aquæ ef-
              <lb/>
            fluentis certo tempore, 2. </s>
            <s xml:id="echoid-s9890" xml:space="preserve">à menſura ſpatii percurſi certo
              <lb/>
            tempore a corpore cadente, 3. </s>
            <s xml:id="echoid-s9891" xml:space="preserve">à menſura ponderis pedis
              <lb/>
            cubici aquæ, & </s>
            <s xml:id="echoid-s9892" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9893" xml:space="preserve">tandem à menſura ipſarum reſiſtentiarum.
              <lb/>
            </s>
            <s xml:id="echoid-s9894" xml:space="preserve">In ſingulis harum quatuor menſurarum errores exigui vitari
              <lb/>
            minime poſſunt; </s>
            <s xml:id="echoid-s9895" xml:space="preserve">non tamen tales ſunt ut ſcrupulus ullus
              <lb/>
            circa experimenta ſupereſſe poſſit.</s>
            <s xml:id="echoid-s9896" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9897" xml:space="preserve">In cap. </s>
            <s xml:id="echoid-s9898" xml:space="preserve">22. </s>
            <s xml:id="echoid-s9899" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9900" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9901" xml:space="preserve">diximus, nos in hoc capite tradituros de-
              <lb/>
              <note position="right" xlink:label="note-0373-06" xlink:href="note-0373-06a" xml:space="preserve">937.</note>
            monſtrationem ab illa diverſam, quæ in n. </s>
            <s xml:id="echoid-s9902" xml:space="preserve">446. </s>
            <s xml:id="echoid-s9903" xml:space="preserve">datur, de
              <lb/>
            virium menſura, quas in eodem corpore quadratis veloci-
              <lb/>
            tatum ſtatuimus proportionales . </s>
            <s xml:id="echoid-s9904" xml:space="preserve">Hac ergo caput
              <note symbol="*" position="right" xlink:label="note-0373-07" xlink:href="note-0373-07a" xml:space="preserve">447.</note>
            terminabo.</s>
            <s xml:id="echoid-s9905" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9906" xml:space="preserve">A nemine in dubium vocatur fluidi velocitatem, ex preſ-
              <lb/>
            ſione fluidi ſuperincumbentis oriundam, ſequi rationem ſub-
              <lb/>
            duplicatam altitudinis fluidi ; </s>
            <s xml:id="echoid-s9907" xml:space="preserve">demonſtravimus in hoc
              <note symbol="*" position="right" xlink:label="note-0373-08" xlink:href="note-0373-08a" xml:space="preserve">799.</note>
            pite , reſiſtentiam ex ſecunda cauſa ſequi hujus
              <note symbol="*" position="right" xlink:label="note-0373-09" xlink:href="note-0373-09a" xml:space="preserve">928.</note>
            rationem; </s>
            <s xml:id="echoid-s9908" xml:space="preserve">ideoque rationem duplicatam velocitatis; </s>
            <s xml:id="echoid-s9909" xml:space="preserve">ſed
              <lb/>
            etiam vidimus reſiſtentiam eandem ſequi rationem cum vi in-
              <lb/>
            ſita particulis ſingulis fluidi ; </s>
            <s xml:id="echoid-s9910" xml:space="preserve">quare vis hæc etiam eſt
              <note symbol="*" position="right" xlink:label="note-0373-10" xlink:href="note-0373-10a" xml:space="preserve">899.</note>
            quadratum velocitatis. </s>
            <s xml:id="echoid-s9911" xml:space="preserve">Q. </s>
            <s xml:id="echoid-s9912" xml:space="preserve">D. </s>
            <s xml:id="echoid-s9913" xml:space="preserve">E.</s>
            <s xml:id="echoid-s9914" xml:space="preserve"/>
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