ABSTRACT
Chapter 3 developed a parametric rational quadratic representation for conics and in Example 3.16, a constructive algorithm was developed for evaluating a special case conic section. Later in Section 3.9.1, the algorithm is generalized to evaluate all conic sections constructively. Recall that attractive properties of the geometric approach for conics included:
the curve interpolated the first point and the last point;
the curve was tangent to the sides of the polygon formed by the three points that determine it;
the rational parametric form used the defining three points for coefficients in the rational parametric formulation derived.
