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Intersections of ellipsoids and planes of arbitrary orientation and position (1979)

Ferguson, Colin C.

Springer

Mathematical geology 11 (1979), S. 329-336

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ISSN: 1573-8868

Keywords: analytic geometry ; petrography ; stereology ; computer simulation

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Mathematics

Notes: Abstract This paper considers an ellipse, produced by the intersection of a triaxial ellipsoid and a plane (both arbitrarily oriented), and derives explicit expressions for its axis ratio and orientation. The relationship between central and noncentral sections, and the problem of intersection probability, are discussed. The resulting equations have obvious applications in structural geology and optical mineralogy, and in stereological modeling of grain-size and grain-shape distributions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01034997

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