CU-L-4P1

CU-L-4P1 Poles of a line

Given a line L intersecting reference cubic CU in points P,Q,R,

The Polar Conics (CU-P-Co1) of P, Q, R will have 4 common points called the 4 poles of line L. See [Cuppens, page 265].

Infovisual CU-L-4P1-infovisual-cvt-01.png

CU-L-4P1 four poles of a line-01.fig

Properties

Not only the Polar Conics of P,Q,R share these 4 poles, but also the Polar Conics of all points on line L share these 4 poles.

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