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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            nuo Oude. </s>
            <s xml:id="echoid-s9016" xml:space="preserve">Wateræ & </s>
            <s xml:id="echoid-s9017" xml:space="preserve">Goudæ diſtantiam legitimam hanc eſſe do-
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            ceam: </s>
            <s xml:id="echoid-s9018" xml:space="preserve">Quam non ex antecedentibus derivavi, ſed per artis præce-
              <lb/>
            pta ab initio inſtitutam exhibeo, ut deinceps ſecurus animi reliquam
              <lb/>
            partem inoffenſo pede percurram. </s>
            <s xml:id="echoid-s9019" xml:space="preserve">Cum enim Generoſiſſimi Baro-
              <lb/>
            nes Auſtriaci Eraſmus & </s>
            <s xml:id="echoid-s9020" xml:space="preserve">Caſparus Sterrenbergici, fratres germani
              <lb/>
            Arithmeticam & </s>
            <s xml:id="echoid-s9021" xml:space="preserve">Geometriam jam penitus cognoviſſent, & </s>
            <s xml:id="echoid-s9022" xml:space="preserve">in re-
              <lb/>
            ctarum circulo adſcriptarum Canonicis, quam triangulorum do-
              <lb/>
            ctrinam vulgo dicimus, verſarentur, placuit ipſis, ut Magno Ale-
              <lb/>
            xandro, ingenii ſui vires non in tenui pulvere periclitari: </s>
            <s xml:id="echoid-s9023" xml:space="preserve">Sed in
              <lb/>
            materia aliqua digniore, quæque uſum & </s>
            <s xml:id="echoid-s9024" xml:space="preserve">fructum ſuum ad plures
              <lb/>
            diffunderet. </s>
            <s xml:id="echoid-s9025" xml:space="preserve">Cum igitur longa & </s>
            <s xml:id="echoid-s9026" xml:space="preserve">diutina ſedulitate & </s>
            <s xml:id="echoid-s9027" xml:space="preserve">labore fati-
              <lb/>
            gatis animum per ferias caniculares recreare, & </s>
            <s xml:id="echoid-s9028" xml:space="preserve">à gravioribus ſtudiis
              <lb/>
            aliquantum remittere placeret, Vir doctiſſimus & </s>
            <s xml:id="echoid-s9029" xml:space="preserve">eorum aulæ ac
              <lb/>
            ſtudiis tum præfectus Joannes Philemon, & </s>
            <s xml:id="echoid-s9030" xml:space="preserve">ab ingenio & </s>
            <s xml:id="echoid-s9031" xml:space="preserve">à doctri-
              <lb/>
            na Magnus, quique in his jam tunc quoque non mediocres profe-
              <lb/>
            ctus fecerat, ne illud otium, liberale alioquin, nimis otioſe efflue-
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            ret, expeditionem in proximas Provincias ſe cogitare dixit, ut ita
              <lb/>
            regiones nobis vicinas cognoſcerent, & </s>
            <s xml:id="echoid-s9032" xml:space="preserve">ſimul, olim quoque judi-
              <lb/>
            cium de his ſuum ferre poſſent. </s>
            <s xml:id="echoid-s9033" xml:space="preserve">Id vero ipſum dum quam maxime
              <lb/>
            probo, & </s>
            <s xml:id="echoid-s9034" xml:space="preserve">illorum conſilium collaudo, Ecce! omnes uno ore ſimul
              <lb/>
            me quoque ejus itineris comitem rogare, nec illud ſibi negari ullo
              <lb/>
            modo paſſi: </s>
            <s xml:id="echoid-s9035" xml:space="preserve">Sed invitum pene domo me, & </s>
            <s xml:id="echoid-s9036" xml:space="preserve">à meis abduxere. </s>
            <s xml:id="echoid-s9037" xml:space="preserve">Ma-
              <lb/>
            xime quia hujus olim Gæodæſiæ mentionem injeceram, & </s>
            <s xml:id="echoid-s9038" xml:space="preserve">quan-
              <lb/>
            tam huic laudem à grata poſteritate ſperare deberet, ſi quis ea via
              <lb/>
            veram terreni gradus quantitatem definiviſſet. </s>
            <s xml:id="echoid-s9039" xml:space="preserve">Jam enim etiam ſphæ-
              <lb/>
            rica non leviter deguſtaverant. </s>
            <s xml:id="echoid-s9040" xml:space="preserve">Ecce quid facerem! illa quæ olim
              <lb/>
            tantum obiter à me dicta, ſerio ab ipſis accepta. </s>
            <s xml:id="echoid-s9041" xml:space="preserve">Inde igitur iter
              <lb/>
            omni diligentia procuramus, & </s>
            <s xml:id="echoid-s9042" xml:space="preserve">organa ad tantam rem depromimus,
              <lb/>
            ſemicirculum diametri pedum Rhynlandicorum trium & </s>
            <s xml:id="echoid-s9043" xml:space="preserve">ſemis, ad
              <lb/>
            Gæodæſias diſtantiarum & </s>
            <s xml:id="echoid-s9044" xml:space="preserve">angulorum quantitatem è turribus ob-
              <lb/>
            ſervandam. </s>
            <s xml:id="echoid-s9045" xml:space="preserve">Quadrantem etiam ampliſſimum ferreum, ære incru-
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            ſtatum, amplius quinque & </s>
            <s xml:id="echoid-s9046" xml:space="preserve">ſemis pedum, ad poli altitudinem ex-
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            plorandam. </s>
            <s xml:id="echoid-s9047" xml:space="preserve">Atque ita Oude-Wateram primum pauculos dies ruſti-
              <lb/>
            catum, & </s>
            <s xml:id="echoid-s9048" xml:space="preserve">in illo ſeceſſu ſtationem electuri contendimus; </s>
            <s xml:id="echoid-s9049" xml:space="preserve">ut ſimul
              <lb/>
            paternum atque avitum cinerem, qui ibi conditus diem quo ſibi
              <lb/>
            reſtituatur exſpectat: </s>
            <s xml:id="echoid-s9050" xml:space="preserve">& </s>
            <s xml:id="echoid-s9051" xml:space="preserve">præterea matrem meam anum ac jam </s>
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