Intersections of ellipsoids and planes of arbitrary orientation and position

  • Colin C. Ferguson
Article

DOI: 10.1007/BF01034997

Cite this article as:
Ferguson, C.C. Mathematical Geology (1979) 11: 329. doi:10.1007/BF01034997

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.

Key words

analytic geometry petrography stereology computer simulation 

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Colin C. Ferguson
    • 1
  1. 1.Department of GeologyUniversity of NottinghamNottinghamUnited Kingdom

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