Summary
Using Lagrange's multiplicator, a least-squares solution for the position of the plane that is in best accord with a finit number of directions is derived. Reference is made to a seismo-tectonic problem to which the solution can be applied.
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References
Scheidegger, A. E. 1958: Geofis. pura e appl., Vol. 39, p. 19.
— 1958: Bull. Seism. Soc. Am., Vol. 48, p. 369.
— 1959: Bull. Seism. Soc. Am., Vol. 49, p. 369
—: Jour. Geoph. Res., Vol. 64, p. 1499.
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Ritsema, A.R., Scholte, J.G.J. Note on the determination of the best-fitting plane for a given set of directions. Geofisica Pura e Applicata 49, 13–14 (1961). https://doi.org/10.1007/BF01992140
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DOI: https://doi.org/10.1007/BF01992140