*Anais do X SIBGRAPI (1997)* #ART16

Pedro J. de Rezende, IC, UNICAMP

**Abstract. **
We present a geometric definition of conic sections in the oriented
projective plane and describe some of their nice properties. This
definition leads to a very simple and unambiguous representation for
affine conics and conic arcs. A conic (of any type) is represented by
the homogeneous coordinates of its foci and one point on it, hence, the
metric plays a major role in this case as opposed to the traditional
algebraic characterization of conics as second degree polynomial
curves. This representation is particularly suitable for the
implementation of geometric solutions of problems that involve the
concept of distance. Furthermore, we discuss point location with respect
to conic curves which constitutes an important elementary operation for
the solution of many such problems.

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Image generated with * sphereView * visualizer of GeoPrO environment for distributed visualization.
This environment uses the representation for conics proposed in the paper.