Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

Table of contents

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[371.] EXPERIMENTUM IX.
Page: 500 (486)
[372.] EXPERIMENTUM X.
Page: 500 (486)
[373.] EXPERIMENTUM XI.
Page: 500 (486)
[374.] EXPERIMENTUM XII.
Page: 500 (486)
[375.] EXPERIMENTUM XIII.
Page: 501 (487)
[376.] EXPERIMENTUM XIV.
Page: 501 (487)
[377.] EXPERIMENTUM XV.
Page: 501 (487)
[378.] EXPERIMENTUM XVI.
Page: 501 (487)
[379.] EXPERIMENTUM XVII.
Page: 501 (487)
[380.] EXPERIMENTUM XVIII.
Page: 502 (488)
[381.] EXPERIMENTUM XIX.
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[382.] EXPERIMENTUM XX.
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[383.] EXPERIMENTUM XXI.
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[384.] EXPERIMENTUM XXII.
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[385.] EXPERIMENTUM XXIII.
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[386.] EXPERIMENTUM XXIV.
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[387.] EXPERIMENTVM XXV.
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[388.] EXPERIMENTUM XXVI.
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[389.] EXPERIMENTUM XXVII.
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[390.] EXPERIMENTUM XXVIII.
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[391.] EXPERIMENTUM XXIX.
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[392.] EXPERIMENTUM XXX.
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[393.] EXPERIMENTUM XXXI.
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[394.] EXPERIMENTUM XXXII.
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[395.] EXPERIMENTUM XXXIII.
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[396.] EXPERIMENTUM XXXIV.
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[397.] EXPERIMENTUM XXXV.
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[398.] EXPERIMENTUM XXXVI.
Page: 506 (492)
[399.] EXPERIMENTUM XXXVII.
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[400.] EXPERIMENTUM XXXVIII.
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            erit ex natura Parabolæ,
              <emph style="ol">B C</emph>
              <emph style="super">q</emph>
              <emph style="ol">D E</emph>
              <emph style="super">q</emph>
            :</s>
            <s xml:id="echoid-s11098" xml:space="preserve">: A C, A E. </s>
            <s xml:id="echoid-s11099" xml:space="preserve">ſed
              <emph style="ol">B C</emph>
              <emph style="super">q</emph>
            eſt
              <lb/>
            ad
              <emph style="ol">D E</emph>
              <emph style="super">q</emph>
            , uti circulus radii B C ad circulum radii D E, hoc eſt uti
              <lb/>
            baſis B F ad baſin D G. </s>
            <s xml:id="echoid-s11100" xml:space="preserve">hoc eſt uti Cohærentia in B F ad Cohæ-
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            rentiam in D G. </s>
            <s xml:id="echoid-s11101" xml:space="preserve">quare erit Cohærentia in B F ad eam in D G:</s>
            <s xml:id="echoid-s11102" xml:space="preserve">: C A
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            ad E A. </s>
            <s xml:id="echoid-s11103" xml:space="preserve">hoc eſt uti altitudines menſuratæ a vertice A.</s>
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          <head xml:id="echoid-head469" xml:space="preserve">PROPOSITIO XVI.</head>
          <p style="it">
            <s xml:id="echoid-s11105" xml:space="preserve">Tab XVII. </s>
            <s xml:id="echoid-s11106" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s11107" xml:space="preserve">12. </s>
            <s xml:id="echoid-s11108" xml:space="preserve">Sit ſolidum planum Parabolicum B D E K F
              <lb/>
            L M. </s>
            <s xml:id="echoid-s11109" xml:space="preserve">cujus baſis B F G N lacunari affixa, ut axis A E Parabolæ ſit
              <lb/>
            ad borizontem perpendicularis, ſecetur plano borizontali D C K L,
              <lb/>
            erit Cobærentia baſeos B F G N, ad Cobærentiam ſegmenti D C K L
              <lb/>
            in ratione ſubduplicata diſtantiæ A E, ad C E a vertice.</s>
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          <p>
            <s xml:id="echoid-s11111" xml:space="preserve">Sunt Cohærentiæ baſeos B F G N & </s>
            <s xml:id="echoid-s11112" xml:space="preserve">ſegmenti D K L in ratione
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            ſuarum magnitudinum, ſed eſt planum B F G N ad planum D K L,
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            uti eſt B F ad D K, quia K L ponitur æquale F G: </s>
            <s xml:id="echoid-s11113" xml:space="preserve">dein ex natura Para-
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            bolæ eſt B F ad D K uti A E ad E C. </s>
            <s xml:id="echoid-s11114" xml:space="preserve">quare erit Cohærentia
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            baſeos ad Cohærentiam ſegmenti D K L, uti A E ad E C.</s>
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          <head xml:id="echoid-head470" xml:space="preserve">PROPOSITIO XVII.</head>
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            <s xml:id="echoid-s11117" xml:space="preserve">XVII. </s>
            <s xml:id="echoid-s11118" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s11119" xml:space="preserve">13. </s>
            <s xml:id="echoid-s11120" xml:space="preserve">Si detur cuneus par abolicus A F O B, cujus baſis
              <lb/>
            lacunari affixa, axis A F borizonti perpendicularis, ſeceturque
              <lb/>
            plano borizontali E C D. </s>
            <s xml:id="echoid-s11121" xml:space="preserve">erit Cobærentia baſeos ad eam ſegmenti in
              <lb/>
            ratione baſeos A O B ad eandem {A O B X E F X E F/A F X
              <emph style="sp">A F</emph>
            }.</s>
            <s xml:id="echoid-s11122" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s11123" xml:space="preserve">Vocentur A O = a. </s>
            <s xml:id="echoid-s11124" xml:space="preserve">O B = b. </s>
            <s xml:id="echoid-s11125" xml:space="preserve">F A = d. </s>
            <s xml:id="echoid-s11126" xml:space="preserve">E F = x.</s>
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            <s xml:id="echoid-s11128" xml:space="preserve">Ut habeatur C D, erit F A O B:</s>
            <s xml:id="echoid-s11129" xml:space="preserve">: F E. </s>
            <s xml:id="echoid-s11130" xml:space="preserve">C D. </s>
            <s xml:id="echoid-s11131" xml:space="preserve">ſive in terminis a-
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            nalyticis d. </s>
            <s xml:id="echoid-s11132" xml:space="preserve">b:</s>
            <s xml:id="echoid-s11133" xml:space="preserve">: x. </s>
            <s xml:id="echoid-s11134" xml:space="preserve">{b x.</s>
            <s xml:id="echoid-s11135" xml:space="preserve">/d} ut habeatur E C, erit F A.</s>
            <s xml:id="echoid-s11136" xml:space="preserve">F E:</s>
            <s xml:id="echoid-s11137" xml:space="preserve">: A O.
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            <s xml:id="echoid-s11138" xml:space="preserve">E C. </s>
            <s xml:id="echoid-s11139" xml:space="preserve">ſive in terminis Analyticis d.</s>
            <s xml:id="echoid-s11140" xml:space="preserve">x:</s>
            <s xml:id="echoid-s11141" xml:space="preserve">: a. </s>
            <s xml:id="echoid-s11142" xml:space="preserve">a {x.</s>
            <s xml:id="echoid-s11143" xml:space="preserve">/d} </s>
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