Given an ellipse in the form
[math]\;\;\;[/math] [b]r[/b](t) =cos t [b]a [/b]+ sin t [b]b[/b],
and a moving point on the arc,
[b]Proposition:[/b] Determine the path parameter of the moving point, and find the conjugate radius.
In case, say, you tried the ConjugateDiameter[] and found that it doesn't give the conjugate diameter.