[b]Propositions: [/b] Let the shape of an oriented parabola be determined by the Focus, or a Point on the arc.
Describe the system using a control diagram.
A parabola may be written as the vector equation:
[math] r(t) = V + t {\bf x_1} + \frac{t^2}{2p} {\bf x_2}[/math]
By assumption ([i]this is a geometric figure[/i]), translation, rotation, and scale should be independent.
I implement the control system in GGBScript using GetTime[].