given a conic c and a point O not lying on c, one constructs triangles ABC such that O is the pivot of the given conic with respect to O.

Here is carried out the construction of a distinguished triangle such that one side of it is parallel to the polar p

1) Construct the diameter OC through O, which is conjugate to the direction of the polar p

2) If this diameter intersects the conic at {C,D} and the polar p

3) Draw parallel from E to p

The figure displays also the conic c' (hyperbola) which in the aforementioned reference is used in the construction of the pivoting triangle.

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