If moves along a known curve, then describes a pursuit curve if is always directed toward and
and move with uniform velocities. These were considered in general by the French scientist Pierre Bouguer in
1732. The case restricting to a straight line was studied by Arthur Bernhart (MacTutor Archive). It has
Cartesian Coordinates equation

**References**

Bernhart, A. ``Curves of Pursuit.'' *Scripta Math.* **20**, 125-141, 1954.

Bernhart, A. ``Curves of Pursuit-II.'' *Scripta Math.* **23**, 49-65, 1957.

Bernhart, A. ``Polygons of Pursuit.'' *Scripta Math.* **24**, 23-50, 1959.

Bernhart, A. ``Curves of General Pursuit.'' *Scripta Math.* **24**, 189-206, 1959.

MacTutor History of Mathematics Archive. ``Pursuit Curve.'' http://www-groups.dcs.st-and.ac.uk/~history/Curves/Pursuit.html.

Yates, R. C. ``Pursuit Curve.'' *A Handbook on Curves and Their Properties.* Ann Arbor, MI: J. W. Edwards, pp. 170-171, 1952.

© 1996-9

1999-05-26