Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

X(1), X(39), X(83), X(39641), X(39642)

6 intersections of medians and symmedians

Brocard points

X(39641), X(39642) are the imaginary foci of the Brocard inellipse, on the Brocard axis and the Kiepert hyperbola

K326 = pK(X6, X39) is the pivotal sister of K325 (See Jean-Pierre Ehrmann, Hyacinthos #3991). See also CL041.

K326 is the locus of P such that the polar lines of P and its isogonal conjugate P* with respect to the Brocard in-ellipse are parallel.