EJMT Abstract

It is often a challenging task if we are asked to find the locus that depends on other curves, but it can become intuitive if we use a technological tool to find the trace of the locus first and later find the equation analytically. In this paper, we shall see that when we reverse the direction of traveling for a point on one curve, and ask the locus for the corresponding curve, the task becomes interesting and non-trivial. In many instances, since we have involved several parameters when constructing a locus curve, it is often that we may construct a family of new parametric curves from the existing closed curve. We will also outline ways of extending locus curves found in 2D to corresponding ones in 3D.