  Closed form expressions are given for computing the parameters and vectors
that identify and define the $n-1$ dimensional conic section that results from
the intersection of a hyperplane with an $n$-dimensional conic section: cone,
hyperboloid of two sheets, ellipsoid or paraboloid. The conic sections are
assumed to be symmetric about their major axis, but may have any orientation
and center. A class of hyperboloids are identified with the property that the
parameters and vectors of the intersection of all hyperboloids in a subset of
the class can be computed efficiently.
