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Generalization of Dalby’s Theorem for Any Surface Whatever

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Intrinsic Geodesy
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Abstract

In my previous communication presented to the IX Assembly of the International Association of Geodesy gathered at Brussels in 1951 (Chap. IV.1, this Vol.), I recalled the absolute character inherent in Laplace’s equation, which connects the deviations of the vertical in longitude and in azimuth. This arises in particular from the fact that the equation permits us to obtain, according to the case, the astronomical longitudes from the astronomical azimuths, or vice versa, without the ellipsoid used in the definition leaving the slightest trace in the result.

Originally published as: Marussi A (1952) Generalizzazione del teorema di Dalby per una superficie qualunque. Festschr Eduard Dolezal.

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Bibliography

  • Ivory J (1828) On the method in the trigonometrical survey for finding the difference of longitude of two stations very little different in latitude. Philos Mag, Ann Philos, December 1828:432

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  • Tiarks Dr. (1828) On Mr Dalby’s method of finding the difference of longitude between two points of a geodetical line on a spheroid, from the latitude of those points and the azimuths of the geodetical line at the same. Philos Mag, Ann Philos, November 1828:364

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© 1985 Springer-Verlag Berlin · Heidelberg

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Marussi, A. (1985). Generalization of Dalby’s Theorem for Any Surface Whatever. In: Intrinsic Geodesy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70243-3_8

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  • DOI: https://doi.org/10.1007/978-3-642-70243-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70245-7

  • Online ISBN: 978-3-642-70243-3

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