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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[331.] Problema XXXIX. Triangulum T V Q Willemſtadium, Breda, Bergaad Somum.
Page: 429 (415)
[332.] Problema XL. Triangulum R V Q Dordracum, Breda, Berga ad Somum.
Page: 429 (415)
[333.] Problema XLI. Triangulum V L Q Breda, Bommelia, Berga ad Somum.
Page: 430 (416)
[334.] Problema XLII. Triangulum E I ?, Leida, Harlemum, Alcmaria.
Page: 430 (416)
[335.] Problema XLIII. Triangulum E V ?. Leida, Trajectum, Alcmaria.
Page: 431 (417)
[336.] Problema XLIV. Triangulum V L ?. Trajectum, Bommelia, Alcmaria.
Page: 431 (417)
[337.] Problema XLV. Triangulum Q L ?. Berga ad Somum, Bommelia, Alcmaria.
Page: 432 (418)
[338.] Problema XLVI.
Page: 432 (418)
[339.] FINIS.
Page: 434 (420)
[340.] INTRODUCTIO AD COHÆ RENTIAM CORPORUM FIRMORUM.
Page: 435
[341.] INTRODUCTIO AD COHÆRENTIAM CORPORUM FIRMORUM. PRÆFATIO.
Page: 437 (423)
[342.] INTRODUCTIO AD COHÆRENTIAM CORPORUM FIRMORUM. CAPUT PRIMUM, De Modis diverſis, quibus corpora ſoluta ſecum invicem in maſſam unitam abeunt.
Page: 445 (431)
[343.] CAPUT SECUNDUM. De Cohærentiâ Corporum abſolutà.
Page: 480 (466)
[344.] PROPOSITIO I.
Page: 481 (467)
[345.] PROPOSITIO II.
Page: 482 (468)
[346.] PROPOSITIO III.
Page: 482 (468)
[347.] PROPOSITIOIV.
Page: 482 (468)
[348.] PROPOSITIO V.
Page: 484 (470)
[349.] PROPOSITIO VI.
Page: 484 (470)
[350.] PROPOSITIO VII.
Page: 486 (472)
[351.] PROPOSITIO VIII.
Page: 486 (472)
[352.] PROPOSITIO IX.
Page: 488 (474)
[353.] PROPOSITIO X.
Page: 488 (474)
[354.] PROPOSITIO XI. Problema 1.
Page: 489 (475)
[355.] PROPOSITIO XII. Problema 2.
Page: 489 (475)
[356.] PROPOSITIO XIII.
Page: 490 (476)
[357.] PROPOSITIO XIV.
Page: 491 (477)
[358.] PROPOSITIO XV.
Page: 491 (477)
[359.] PROPOSITIO XVI.
Page: 492 (478)
[360.] PROPOSITIO XVII.
Page: 492 (478)
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            læ inter aſymptota E C, E F deſcriptæ.</s>
            <s xml:id="echoid-s8529" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8530" xml:space="preserve">Aſſurgit vero Mercurius ad diverſas altitudines, prout plana
              <lb/>
            vitrea ambo propius ad ſe accedunt, vel magis à ſe removentur.</s>
            <s xml:id="echoid-s8531" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8532" xml:space="preserve">Quando tamen ſpecula parum à ſe diſtant, tum inæqualitas ſu-
              <lb/>
            perſicierum ſolet facere ſenſibilem variationem in hac curvâ, nam
              <lb/>
            non poſſunt inveniri ſuperficies perfecte planæ, quales deſiderantur,
              <lb/>
            ut acquiratur linea Geometrica.</s>
            <s xml:id="echoid-s8533" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8534" xml:space="preserve">Eſt hæc curva contrario modo ſita, quam quando inſtituitur
              <lb/>
            Experimentum cum Aqua, vel Spiritu Vini, quia Mercurius ſe magis
              <lb/>
            attrahit, quam Vitrum: </s>
            <s xml:id="echoid-s8535" xml:space="preserve">idcirco ſe habet, quaſi à Vitro repelleretur;
              <lb/>
            </s>
            <s xml:id="echoid-s8536" xml:space="preserve">cumque repulſio ſit oppoſita attactioni, etiam figura contraria à
              <lb/>
            liquore repulſo, quam ab attracto, formabitur.</s>
            <s xml:id="echoid-s8537" xml:space="preserve"/>
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        <div xml:id="echoid-div242" type="section" level="1" n="242">
          <head xml:id="echoid-head265" xml:space="preserve">EXPERIMENTUM VIII.</head>
          <p>
            <s xml:id="echoid-s8538" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s8539" xml:space="preserve">13 fig. </s>
            <s xml:id="echoid-s8540" xml:space="preserve">14. </s>
            <s xml:id="echoid-s8541" xml:space="preserve">Speculum D E ponatur horizonti parallelum,
              <lb/>
            cui affundatur gutta olei deſtillati B, tum alterum ſpeculum A C
              <lb/>
            imponatur priori, ita ut extremo A tangat alterius extremum D; </s>
            <s xml:id="echoid-s8542" xml:space="preserve">ſed
              <lb/>
            extremo C tantopere diſtet ab E, ut guttæ B ſuperiorem partem vix
              <lb/>
            vix contingat: </s>
            <s xml:id="echoid-s8543" xml:space="preserve">Quibus ita compoſitis, gutta B illico moveri incipit
              <lb/>
            verſus A D, in principio lente, ſed ſemper eo velocius, quo propius
              <lb/>
            accedit ad A D, explicata quoque continuo in majorem latitudi-
              <lb/>
            nem, tandemque prope juncturam A D ſpeculorum ſe utrimque
              <lb/>
            expandit ſecundum juncturæ longitudinem.</s>
            <s xml:id="echoid-s8544" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8545" xml:space="preserve">Sit centrum gravitatis guttæ B in o, quia ſpeculum A C ad ſe
              <lb/>
            trahitguttam, agitur hæc directione o p, perpendiculari in ſuperſi-
              <lb/>
            ciem A C, atque directione O S perpendiculari in ſuperſiciem D E:
              <lb/>
            </s>
            <s xml:id="echoid-s8546" xml:space="preserve">adeoque moveri debebit in diagonali o r parallelogrammi, cujus la-
              <lb/>
            tera duo ſunt directiones o p, o s, idcirco feretur gutta â B verſus A D. </s>
            <s xml:id="echoid-s8547" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s8548" xml:space="preserve">quia eadem ratio directionum trahentium obtinet quouſque
              <lb/>
            gutta ex B verſus A D perrexerit, continuabitur ejus motus uſque
              <lb/>
            ad A D. </s>
            <s xml:id="echoid-s8549" xml:space="preserve">Conſtat vero gutta ex materia non condenſabili, hinc in ar-
              <lb/>
            ctius delata ſpatium, ut expandatur pérpetuo magis magiſque neceſſe
              <lb/>
            erit. </s>
            <s xml:id="echoid-s8550" xml:space="preserve">Præterea adhæret pars guttæ ſuperior ſpeculo A C, quodpla-
              <lb/>
            num eſt inclinatum ad horizontem, ſuper quo omnia devoluta
              <lb/>
            gravia feruntur motu accelerato, ſive gutta adhæſerit inferiori hu-
              <lb/>
            jus plani ſuperficiei, ſive ſuper ipſo moveretur, idem eſt; </s>
            <s xml:id="echoid-s8551" xml:space="preserve">adeoque
              <lb/>
            quatenus gravitatem habet, motu accelerato feretur a p verſus A D: </s>
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            Inſuper quo centrum gravitatis o propius acceſſerit ad </s>
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