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K1304

∑ (b - c) (b + c -a) x (y^2 + z^2) = 0

X(2), X(527), X(673), X(1121), X(1948), X(3912), X(11608), X(14943), X(40843), X(40846), X(40864), X(40873), X(40875), X(40882), X(44331), X(46790), X(46791), X(46792), X(46793), X(46794)

infinite points of the Steiner ellipse

Geometric properties :

K1304 is the isogonal transform of K225. It is a member of CL031.

Its barycentric product by X(1) is K040.

K1304 is the G-Hirst transform of the circum-conic with perspector X(522) passing through X(i) for i = 2, 8, 29, 85, 92, 178, 189, 257, 312, 333, 1121, 1220, 1311, 1952, 2090, 2399, 2988, 2994, etc.

See K1303 for properties and a generalization.

Let (L1), (L2) be two parallels to the line {2, 7, 9, ...} and symmetric in G. Let (C1), (C2) be their respective isotomic transforms. (L1), (C2) meet at M1, N1 and (L2), (C1) meet at M2, N2. These four points lie on K1304.