X826

ODD (0, 4) INFINITY POINT

As the isogonal conjugate of a point on the circumcircle, X826 lies on the line at infinity.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 30, 511 }: Central Line L(30, 511) { 54, 879 }: Central Line L(54, 879) { 76, 882 }: Central Line L(76, 882) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_827 = o-(0, 4) CIRCUMCIRCLE POINT (0.3242, 0.5811) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_54 = KOSNITA POINT (0.5880, 0.2176) X_879 = ISOTOMIC CONJUGATE OF X(877) (1.2088, 0.0345) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_882 = ISOTOMIC CONJUGATE OF X(880) (0.9879, -0.0178) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) A B C X827 X30 X511 X54 X879 X76 X882 X826 (a, b, c) = (5, 6, 7) | AB = 1

X826 (ODD (0, 4) INFINITY POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a ^{-1}(b^{4} - c^{4}) + a^{3}(b^{0} - c^{0}) : :\)
▸ Incident Central Lines3 lines

{30, 511}, {54, 879}, {76, 882}

▸ Functional Relations7 relations