EVOLUTES OF CONICS IN THE PSEUDO-EUCLIDEAN PLANE

The evolute of a conic in the pseudo-Euclidean plane is the locus of centers of all its osculating circles. It’s a curve of order
six and class four in general case. In this paper we discuss and compute the order and class of evolutes of different types of
conics. We will highlight those cases that have no analogy in the Euclidean plane.