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Generation of conics

This is a geometric generation of the conics by the formula |r|=*l*/(1+epsilon.r1).
r1 is the unit vector in the direction of the r. (epsilon.r1) represents the scalar product
of the excentricity vector epsilon with r1. *l* is the semi-latus rectum = |epsilon| |d|.

1/(1+epsilon.r1) is obtained by inversion with a unit circle as mirror.
The triangle constructions achieve the necessary division and multiplications.

Change the directrance d (distance focus - directrix) and the green excentricity vector epsilon interactively.
This creates the yellow conic (hyperbola, parabola, ellipse, circle) with radius vector r.

[ conics | GA with Cinderella ]

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