Electronic Journal of Differential Equations, Vol. 2000(2000), No. 23, pp. 1-9. Title: A note on the saddle conic of quadratic planar differential systems Author: D. Boularas (Univ. de Limoges, France) Abstract: We give some properties of the saddle conic of quadratic differential systems. We also deduce semi-algebraic conditions for the existence of one, two or three saddle points (in terms of affine invariants). Submitted December 16, 1999. Published March 28, 2000. Math Subject Classifications: 34C05, 34C20. Key Words: nonlinear differential systems; saddle points; qualitative theory of ordinary differential systems; critical points; invariant theory.