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

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[341.] INTRODUCTIO AD COHÆRENTIAM CORPORUM FIRMORUM. PRÆFATIO.
[342.] INTRODUCTIO AD COHÆRENTIAM CORPORUM FIRMORUM. CAPUT PRIMUM, De Modis diverſis, quibus corpora ſoluta ſecum invicem in maſſam unitam abeunt.
[343.] CAPUT SECUNDUM. De Cohærentiâ Corporum abſolutà.
[344.] PROPOSITIO I.
[345.] PROPOSITIO II.
[346.] PROPOSITIO III.
[347.] PROPOSITIOIV.
[348.] PROPOSITIO V.
[349.] PROPOSITIO VI.
[350.] PROPOSITIO VII.
[351.] PROPOSITIO VIII.
[352.] PROPOSITIO IX.
[353.] PROPOSITIO X.
[354.] PROPOSITIO XI. Problema 1.
[355.] PROPOSITIO XII. Problema 2.
[356.] PROPOSITIO XIII.
[357.] PROPOSITIO XIV.
[358.] PROPOSITIO XV.
[359.] PROPOSITIO XVI.
[360.] PROPOSITIO XVII.
[361.] PROPOSITIO XVIII.
[362.] Experimenta fundamentalia Cobærentiæ abſolutæ demonſtrandæ inſervientia.
[363.] EXPERIMENTUM I.
[364.] EXPERIMENTUM II.
[365.] EXPERIMENTUM III.
[366.] EXPERIMENTUM IV.
[367.] EXPERIMENTUM V.
[368.] EXPERIMENTUM VI.
[369.] EXPERIMENTUM VII.
[370.] EXPERIMENTUM VIII.
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        <div xml:id="echoid-div334" type="section" level="1" n="334">
          <pb o="417" file="0431" n="431" rhead="DE MAGNITUDINE TERRÆ."/>
          <p>
            <s xml:id="echoid-s9365" xml:space="preserve">Datur differentia 6 perticarum in diſtantia E ? </s>
            <s xml:id="echoid-s9366" xml:space="preserve">inter Proble-
              <lb/>
            ma XXX & </s>
            <s xml:id="echoid-s9367" xml:space="preserve">hoc XLII. </s>
            <s xml:id="echoid-s9368" xml:space="preserve">ſed hæc eſt exigua.</s>
            <s xml:id="echoid-s9369" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div335" type="section" level="1" n="335">
          <head xml:id="echoid-head438" xml:space="preserve">
            <emph style="sc">Problema</emph>
          XLIII.</head>
          <head xml:id="echoid-head439" style="it" xml:space="preserve">Triangulum E V ?. Leida, Trajectum, Alcmaria.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XX datur E V diſtantia inter Leidam \\ & Ultrajectum # 11589. 8.
            <lb/>
          Per Problema XXX datur E ? diſtantia inter Lei- \\ dam & Alcmariam # 14730. 5.
            <lb/>
          Ex obſervatis autem datur per Problema XXVII an- \\ gulus V E I # 77 gr. 51`; 30``;.
            <lb/>
          Et per Problema XLII angulus ? E I # 3 gr. 56`;, 15``;.
            <lb/>
          Unde conſlatur totus V E ? # 81 gr. 47`;, 45``;.
            <lb/>
          Atque hinc datis cruribus cum angulo ab ipſis com- \\ prehenſo dabitur baſis V ?, diſtantia inter Trajectum \\ & Alcmariam # 17406. 7.
            <lb/>
          Et angulus E V ? # 56 gr. 56`;, 25``;.
            <lb/>
          Et angulus V ? E # 41 gr. 15`;, 49``;.
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div336" type="section" level="1" n="336">
          <head xml:id="echoid-head440" xml:space="preserve">
            <emph style="sc">Problema</emph>
          XLIV.</head>
          <head xml:id="echoid-head441" style="it" xml:space="preserve">Triangulum V L ?. Trajectum, Bommelia, Alcmaria.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XXXI datur V L diſtantia inter Bom- \\ meliam & Trajectum # 8490, 6, 4.
            <lb/>
          Et per Problema XLIII datur V ? diſtantia inter Tra- \\ jectum & Alcmariam # 17406, 7.
            <lb/>
          Ex obſervatis datur in Prob. XXXII. angulus L V R # 62 gr. 16`;.
            <lb/>
          Angulus R V E per Probl. XXI. # 54 gr. 25``;.
            <lb/>
          Angulus E V ? per Probl. XLIII # 56 gr. 56`;, 25``;.
            <lb/>
          Unde totus L V ? datur # 173 gr. 37`;, 25``;.
            <lb/>
          Et per doctrinam Triangulorum eruetur baſis L ? \\ diſtantia inter Bommeliam & Alcmariam # 25953, 8.
            <lb/>
          Et angulus V L ? # 4, 16`;, 12``;.
            <lb/>
          </note>
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