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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          Et angulus R T V # 67 gr. 51 ſcr.
            <lb/>
          Et angulus R V T # 45 gr. 59 ſcr.
            <lb/>
          Quæ ſumma duos rectos unico tantum ſcrupulo ex- \\ cedit, ſit itaque R V T # 45 gr. 58 ſcr.
            <lb/>
          Nam ob angulorum juſtam quantitatem hic unum \\ aut alterum ſcrupulum haud admodum magnam late- \\ rum differentiam poterit inducere.
            <lb/>
          Itaque ex his datis ſecundum artis præcepta inve- \\ nietur T V diſtantia inter Ilermopolin & Bredam # 6912. 1.
            <lb/>
          Et R V, diſtantia inter Dordracum & Bredam # 6998. 0.
            <lb/>
          Quam antea Problemate XXII, invenimus # 6996. 5.
            <lb/>
          Quæ differentia hic ſub finem nullius momenti ha- \\ benda eſt, & ſit propterea latus R V, ob numeri ro- \\ tundationem. # 7000. 0.
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          <head xml:id="echoid-head335" xml:space="preserve">XXVI.
            <emph style="sc">Problema.</emph>
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          <head xml:id="echoid-head336" style="it" xml:space="preserve">Triangulum T V Q. Willemſtadium, Breda, Berga-
            <lb/>
          ad-Somum.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XXV datur V T diſtantia inter Bre- \\ dam & Ilermopolin ſive Willemſtadium # 6912. 1.
            <lb/>
          Ex obſervatione autem angulus V T Q # 89 gr. 25 ſcr.
            <lb/>
          Et angulus T V Q # 43 gr. 24 ſcr.
            <lb/>
          Et angulus V Q T # 47 gr. 15 ſcr.
            <lb/>
          Ubi quatuor omnino ſcrupula redundant, quæ ex \\ ipſis ita deducam, ut V T Q ſit # 89 gr. 23 ſcr.
            <lb/>
          Et angulus T V Q # 43 gr. 23 ſcr.
            <lb/>
          Et angulus V Q T # 47 gr. 14 ſcr.
            <lb/>
          Unde per artis præcepta dabitur T Q diſtantia inter \\ Ilermopolin & Bergam # 6467. 2.
            <lb/>
          Et V Q diſtantia inter Bredam & Bergam # 9414. 7.
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