5P-s-Co1 5P-Circumscribed Conic

It is well known that in a system of 5 random Points a unique circumscribed conic can be constructed. This conic is 5P-s-Co1 and its center is 5P-s-P1.

Construction

See Ref-19.

Given five points A, B, C, D, E.

Let l be a variable line through E. (Draw a circle center E with any radius. Let L be an arbitrary point on the circle, and take l to be the line EL.)

The line joining AB.DE and BC.l cuts CD in Z, then P = AZ.l lies on the conic.

As L moves round the circle, P traces the conic. (Select L and P, and Construct/Locus.)

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