Education and Didactics

On the Osculating Circle Using Complex Numbers

Authors: Aloys J. Sipers
Comments: 5 Pages.

In this letter a theorem is stated on the complex-valued represention of the radius vector of an osculating circle. This theorem can be used in education in mathematics and physics. To develop exercises for education a construction is presented for a class of curves characterized by a parameter. A numerical example is provided to illustrate the educational potential of the theorem and the constuction of corresponding exercises.
Category: Education and Didactics