The volume common to two congruent circular cones whose axes intersect symmetrically

  • Authors:

  • W. A. Beyer;L. R. Fawcett;R. D. Mauldin;B. K. Swartz

  • Affiliations:

  • T-Division / X-Division, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, U.S.A.;T-Division / X-Division, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, U.S.A.;T-Division / X-Division, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, U.S.A.;T-Division / X-Division, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, U.S.A.

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 1987

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Abstract

The axes of two congruent right circular cones intersect at a point equidistant from the cones' vertices. We derive a formula for the volume of the set of points common to the interiors of both cones. Some of the work was done on the symbol manipulator MACSYMA.