Ellipse as parametric second order curve (Euclidean view)

The parametric second order curve
r = (a0 + a1 lambda + a2 lambda lambda)/(alpha + lambda lambda),
with a0, a1 and a2 three arbitrary vectors and alpha, lambda scalars, represents for
alpha > 0 an ellipse.

With the animated variation of lambda (orange line) the yellow radius vector sweeps out the ellipse.

Please enable Java for an interactive construction (with Cinderella).

Compare the sperical view.

[ conics | GA with Cinderella ]

Soli Deo Gloria. Created with Cinderella by Eckhard Hitzer (Fukui).