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.
Page: 396 (382)
[272.] XIV. Proelema Triangulum E I V, Leida, Harlemum, Trajectum.
Page: 397 (383)
[273.] XV. Problema Triangulum E I O. Leyda, Harlemum, Amſtelo-damum.
Page: 398 (384)
[274.] XVI. Problema Triangulum I O ?. Harlemum, Amſtelodamum, Alcmaria.
Page: 398 (384)
[275.] XVII. Problema. Triangulum E O ?. Leida, Amſtelodamum, Alcmaria.
Page: 399 (385)
[276.] XVIII. Problema. Triangulum M V L, Oude-Watera, Trajectum, Bommelia.
Page: 399 (385)
[277.] XIX. Problema Triangulum ? V L. Dordracum, Trajectum, Bommelia.
Page: 400 (386)
[278.] XX. Problema Triangulum E V L. Leida, Trajectum, Bommelia.
Page: 400 (386)
[279.] XXI. Problema. Triangulum ? E L, Alcmaria, Leida, Bommelia.
Page: 401 (387)
[280.] XXII. Problema. Triangulum R L V, Dordracum, Bommelia, Breda.
Page: 401 (387)
[281.] XXIII. Problema. Triangulum R S F. Dordracum, Gouda, Rotterodamum.
Page: 401 (387)
[282.] XXIV. Problema. Triangulum R T F, Dordracum, Willemſtadium, Rotterodamum.
Page: 402 (388)
[283.] XXV. Problema. Triangulum R T V. Dordracum, Willemſtadium, Breda.
Page: 402 (388)
[284.] XXVI. Problema. Triangulum T V Q. Willemſtadium, Breda, Berga-ad-Somum.
Page: 403 (389)
[285.] XXVII. Problema. Triangulum R V Q Dordracum, Breda, Berga-ad-Somum.
Page: 404 (390)
[286.] XXVIII. Problema. Triangulum V L Q Breda, Bommelia, Berga-ad-Somum.
Page: 404 (390)
[287.] XXIX. Problema. Datis quadrilateri L R V Q lateribus & diagonio R V, abſque Triangulorum canonibus invenire reliquam diagonium Q L.
Page: 405 (391)
[288.] XXX. Problema Triangulum E I ?, Leida, Harlemum, Alcmaria.
Page: 406 (392)
[289.] XXXI. Problema. Triangulum E V ?. Leida, Trajectum, Alcmaria.
Page: 407 (393)
[290.] XXXII. Problema. Triangulum V L ?. Trajectum, Bommelia, Alcmaria.
Page: 407 (393)
[291.] XXXIII. Problema. Triangulum Q L ?. Berga-ad-Somum, Bommelia, Alcmaria.
Page: 408 (394)
[292.] CAPUT IX. Quantitas unius gradus in maximo Terræ circulo demum definita.
Page: 409 (395)
[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.
Page: 412 (398)
[294.] Problema II. Triangulum a e m, nectens Douſæ arcem, pagum Soeterwoudam, locumque inter illam & Voor ſchoten aſſumtum eundem ac in Probl. I.
Page: 412 (398)
[295.] Problema III. Triangulum i e m, jungens Leidam, Douſæ arcem & Soeterwoudam.
Page: 413 (399)
[296.] IV. Problema. Triangulum a i u, jungens Leidam, Voorſchoten, locumque aſſumtum in Problemate I.
Page: 414 (400)
[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.
Page: 414 (400)
[298.] Problema VI. Tab. XIV. fig. 2. Triangulum, imu, conjungens Leidam, Soeterwoudam & Voorſchoten.
Page: 415 (401)
[299.] Problema VII. Diſtantia inter Soeterwoudam & Voor ſchooten alio modo quæſita.
Page: 415 (401)
[300.] Problema VIII. Tab. XIV. fig. 3. Triangulum A E I, Leida, Soeterwouda, Waſſenaria.
Page: 416 (402)
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          <pb o="395" file="0409" n="409" rhead="DE MAGNITUDINE TERRÆ."/>
          <p>
            <s xml:id="echoid-s9236" xml:space="preserve">Bredæ, turris excelſa templo conjuncta.</s>
            <s xml:id="echoid-s9237" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9238" xml:space="preserve">Ilermopoli, ſive Willemſtadii, turricula ſupra templum.</s>
            <s xml:id="echoid-s9239" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9240" xml:space="preserve">Bergæ-ad-Somum, turris templo anteriori prope forum con-
              <lb/>
            juncta, nam poſterius ſolas parietinas oſtentat.</s>
            <s xml:id="echoid-s9241" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9242" xml:space="preserve">Amſtelodami, turris veteri (ut vocant) templo conjuncta.</s>
            <s xml:id="echoid-s9243" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9244" xml:space="preserve">Harlemi, turricula medio templo impoſita.</s>
            <s xml:id="echoid-s9245" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9246" xml:space="preserve">Alcmariæ, turricula medio templo impoſita.</s>
            <s xml:id="echoid-s9247" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9248" xml:space="preserve">Habeo longe plurium locorum obſervationes alteri fini â me
              <lb/>
            inſtitutas, verum iſtæ nunc huic inſtituto ſufficiant.</s>
            <s xml:id="echoid-s9249" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div292" type="section" level="1" n="292">
          <head xml:id="echoid-head351" xml:space="preserve">CAPUT IX.</head>
          <head xml:id="echoid-head352" style="it" xml:space="preserve">Quantitas unius gradus in maximo Terræ circulo demum
            <lb/>
          definita.</head>
          <p>
            <s xml:id="echoid-s9250" xml:space="preserve">Cum igitur hactenus ita locorum diſtantias ſumma diligentia ex-
              <lb/>
            plicaverimus, ſupereſt tandem ut unius gradus quantitatem
              <lb/>
            ad extremum definiamus; </s>
            <s xml:id="echoid-s9251" xml:space="preserve">quo fine iſta omnia à nobis hactenus com-
              <lb/>
            parata & </s>
            <s xml:id="echoid-s9252" xml:space="preserve">conquiſita fuerunt. </s>
            <s xml:id="echoid-s9253" xml:space="preserve">Sed antea an extrema iſta loca, quo-
              <lb/>
            rum intervallis ad hanc rem utemur, ſub eodem meridiano ſita ſint,
              <lb/>
            quoque erit explorandum. </s>
            <s xml:id="echoid-s9254" xml:space="preserve">Et propterea angulum poſitionis, quem
              <lb/>
            Gouda cum meridiano Leidenſi faciat, hoc eſt, quantum à noſtro
              <lb/>
            meridiano ortum aut occaſum verſus declinet accurate notavi Sit
              <lb/>
            itaque ? </s>
            <s xml:id="echoid-s9255" xml:space="preserve">? </s>
            <s xml:id="echoid-s9256" xml:space="preserve">linea meridiana per Leidam educta, ut ? </s>
            <s xml:id="echoid-s9257" xml:space="preserve">ſeptentrionem,
              <lb/>
            ? </s>
            <s xml:id="echoid-s9258" xml:space="preserve">meridiem ſpectet, Gouda hinc ortum verſus ita declinat ut angu-</s>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          lus ? E S, qui poſitionis vocatur, ſit # 45 gr. 31 ſcr.
            <lb/>
          Datur autem ex obſervatis angulus S E O # 88 gr. 21 ſcr.
            <lb/>
          Et per Problema XVII. angulus O E ? # 31 gr 7 ſcr.
            <lb/>
          Quare totus ? E ? datur # 164 gr. 59 ſcr.
            <lb/>
          Unde etiam reliquus ? E ? dabitur # 15 gr. 1 ſcr.
            <lb/>
          Atque ideo demiſſa perpendiculari ? ? erit angu- \\ lus E ? ? # 74 gr. 59 ſcr.
            <lb/>
          Datur autem per Problema XV I. ? E diſtantia \\ inter Leidam & Alcmariam # 14707. 9.
            <lb/>
          Dabitur igitur per doctrinam triangulorum perpen-
            <lb/>
          </note>
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