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Parabola 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 a parabola.

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

Compare the spherical view.

[ conics | GA with Cinderella ]

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