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too complicated to be written here. Click on the link to download a text file. |
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X(1), X(5), X(155), X(185) excenters vertices of the orthic triangle Ea = HbHc /\ AX(155), Eb and Ec likewise |
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Let M be a fixed point. The locus of point P such that the line MP is perpendicular to the trilinear polar of the H(M) is a bicevian conic if and only if M lies on K742 in which case the perspectors P1, P2 lie on the circum-conic with center X(6) and the isogonal transform of the Stammler hyperbola respectively. For example, with M = X(1), X(5), X(185) we find the bicevian rectangular hyperbolas B(X651, X1), B(X110, X2), B(X648, X4) respectively. K742 is a psK with respect to the orthic triangle since the tangents at Ha, Hb, Hc concur at X(235) but not lying on the cubic. When |