Using the trochoid exploration tool

Interface notes

This tool allows you to trace out a trochoid by controlling a natural angle parameter. Selecting annotations from the Auxilliary controls menu adds labels and construction marks which explicate the standard parameterization of the curve. After tracing out a full period or more of a trochoid, try sliding the marker1 control from one extreme to the other to see a line continuously "morphed" into a cycloid (or vice versa) through a family of trochoids.