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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[271.] XIII. Problema. Triangulum O E V, Amſtelodamum, Leida, Trajectum.
[272.] XIV. Proelema Triangulum E I V, Leida, Harlemum, Trajectum.
[273.] XV. Problema Triangulum E I O. Leyda, Harlemum, Amſtelo-damum.
[274.] XVI. Problema Triangulum I O ?. Harlemum, Amſtelodamum, Alcmaria.
[275.] XVII. Problema. Triangulum E O ?. Leida, Amſtelodamum, Alcmaria.
[276.] XVIII. Problema. Triangulum M V L, Oude-Watera, Trajectum, Bommelia.
[277.] XIX. Problema Triangulum ? V L. Dordracum, Trajectum, Bommelia.
[278.] XX. Problema Triangulum E V L. Leida, Trajectum, Bommelia.
[279.] XXI. Problema. Triangulum ? E L, Alcmaria, Leida, Bommelia.
[280.] XXII. Problema. Triangulum R L V, Dordracum, Bommelia, Breda.
[281.] XXIII. Problema. Triangulum R S F. Dordracum, Gouda, Rotterodamum.
[282.] XXIV. Problema. Triangulum R T F, Dordracum, Willemſtadium, Rotterodamum.
[283.] XXV. Problema. Triangulum R T V. Dordracum, Willemſtadium, Breda.
[284.] XXVI. Problema. Triangulum T V Q. Willemſtadium, Breda, Berga-ad-Somum.
[285.] XXVII. Problema. Triangulum R V Q Dordracum, Breda, Berga-ad-Somum.
[286.] XXVIII. Problema. Triangulum V L Q Breda, Bommelia, Berga-ad-Somum.
[287.] XXIX. Problema. Datis quadrilateri L R V Q lateribus & diagonio R V, abſque Triangulorum canonibus invenire reliquam diagonium Q L.
[288.] XXX. Problema Triangulum E I ?, Leida, Harlemum, Alcmaria.
[289.] XXXI. Problema. Triangulum E V ?. Leida, Trajectum, Alcmaria.
[290.] XXXII. Problema. Triangulum V L ?. Trajectum, Bommelia, Alcmaria.
[291.] XXXIII. Problema. Triangulum Q L ?. Berga-ad-Somum, Bommelia, Alcmaria.
[292.] CAPUT IX. Quantitas unius gradus in maximo Terræ circulo demum definita.
[293.] PARS ALTERA. DE MAGNITUDINE TERRÆ SECUNDUM MENSURAM ULTIMAM SNELLII ET NOSTRAM. Problema I. Tab. XIV. fig. 2. Triangulum i e a connectens Leydam, Douſæ arcem, locumque inter hanc & Voor-ſchooten aſſumtum.
[294.] Problema II. Triangulum a e m, nectens Douſæ arcem, pagum Soeterwoudam, locumque inter illam & Voor ſchoten aſſumtum eundem ac in Probl. I.
[295.] Problema III. Triangulum i e m, jungens Leidam, Douſæ arcem & Soeterwoudam.
[296.] IV. Problema. Triangulum a i u, jungens Leidam, Voorſchoten, locumque aſſumtum in Problemate I.
[297.] V. Problema. Diſtantia inter Leidam & Voor ſchoten alio modo quæſita, ope Trianguli A E I nectentis Leidam, Soeterwou-dam & Voorſchoten Tab. XIV. fig. 4.
[298.] Problema VI. Tab. XIV. fig. 2. Triangulum, imu, conjungens Leidam, Soeterwoudam & Voorſchoten.
[299.] Problema VII. Diſtantia inter Soeterwoudam & Voor ſchooten alio modo quæſita.
[300.] Problema VIII. Tab. XIV. fig. 3. Triangulum A E I, Leida, Soeterwouda, Waſſenaria.
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          <pb o="405" file="0419" n="419" rhead="DE MAGNITUDINE TERRÆ."/>
        </div>
        <div xml:id="echoid-div308" type="section" level="1" n="308">
          <head xml:id="echoid-head384" xml:space="preserve">
            <emph style="sc">Problema</emph>
          XVI.</head>
          <head xml:id="echoid-head385" style="it" xml:space="preserve">Triangulum E S R. Leida, Gouda, Dordracum.</head>
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            <lb/>
          Datur per Probl. X V. diſtantia inter Leidam & \\ Goudam # 5918, 9, 7.
            <lb/>
          Ex obſervatis autem datur angulus R E S # 25 gr. 49?.
            <lb/>
          Angulus S R E # 25 gr. 49?.
            <lb/>
          Angulus R S E # 128 gr. 22?.
            <lb/>
          Unde per doctrinam Triangulorum eruitur diſtantia \\ inter Goudam & Dordracum # 5918, 9. 7.
            <lb/>
          Inter Leidam & Dordracum # 10663, 7.
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div309" type="section" level="1" n="309">
          <head xml:id="echoid-head386" xml:space="preserve">
            <emph style="sc">Problema</emph>
          XVII.</head>
          <head xml:id="echoid-head387" style="it" xml:space="preserve">Triangulum E A R, Leida, Haga, Dordracum.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XIII datur diſtantia inter Hagam & \\ Leidam # 4118, 0, 7.
            <lb/>
          Ex obſervatis autem angulus E A R # 85 gr. 51?.
            <lb/>
          Angulus A E R # 71 gr. 31?.
            <lb/>
          Angulus A R E # 22 gr. 38?.
            <lb/>
          Unde latus E R diſtantia inter Dordracum & Lei- \\ dam # 10672, 7.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s9337" xml:space="preserve">Quæ major eſt quam inventa in problemate XVI, quare angulus
              <lb/>
            E A R major fuit obſervatus, quam revera eſt, poſitâ priori menſurâ
              <lb/>
            bonâ: </s>
            <s xml:id="echoid-s9338" xml:space="preserve">error irrepere in obſervationem Snellii potuit, quia Dordraco
              <lb/>
            Hagam non conſpicere ipſi licuit.</s>
            <s xml:id="echoid-s9339" xml:space="preserve"/>
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          <note position="right" xml:space="preserve">
            <lb/>
          Eruitur vero diſtantia inter Hagam & Dordracum # 10148, 8.
            <lb/>
          </note>
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        <div xml:id="echoid-div310" type="section" level="1" n="310">
          <head xml:id="echoid-head388" xml:space="preserve">
            <emph style="sc">Problema</emph>
          XVIII.</head>
          <head xml:id="echoid-head389" style="it" xml:space="preserve">Triangulum A E F, Haga, Leida, Rotterodamum.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XIII. Datur diſtantia inter Hagam Lei- \\ damque E A # 4118, 0, 7.
            <lb/>
          Ex obſervatis angulus E A F # 90 gr. 18?.
            <lb/>
          </note>
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