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X(3), X(4), X(13452), X(42411), X(42412), X(60612), X(60613), X(71858), X(71859), X(71860)

isogonal conjugates P1, P2 of X(52095), X(52096)

infinite points of pK(X6, X1657)

vertices of the CircumNormal triangle, these points on K003

further details and other points below

Geometric properties :

K1446 is the isogonal transform of K852 = spK(X3, X20). See CL055 and also Table 54.

K1446 meets the axes of the inconic with center X(20) again at two points Q1, Q2 which lie on the line {69, 13452}. In other words, Q1 = X(71860) = {20, 3413} ∩ {69, 13452} and Q2 = X(71859) = {20, 3414} ∩ {69, 13452}.

Note that X(42411), X(42412), X(60612), X(60613) are the foci of the (orange) inscribed conic with center X(20). They are the homothetics of the foci of the Steiner inellipse under h(H, 3) and h(O, -3).

P1, P2 lie on the (green) circum-conic with perspector X(3049) and on the lines passing through O and Q2, Q1 respectively.

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K1446 is a member of two pencils of cubics, namely :

• the pencil of CircumNormal circum-cubics containing K003, K009, K361, K405, K664, K1434, K1437. See Table 54, column P = [X3], and also Table 25.

• the pencil of cubics K004, K187, K852, K855, all passing through the foci of the inscribed conic with center X(20). See Table 54, line Q = X20.