X890

ISOGONAL CONJUGATE OF X889

X890 is the isogonal conjugate of X889.
< 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) { 100, 190 }: Central Line L(100, 190) { 187, 237 }: Central Line L(187, 237) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_889 = INTERSECTION OF LINES X(99)X(898) AND X(190)X(649) (0.8340, -0.1151) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_890 = ISOGONAL CONJUGATE OF X(889) (1.0440, 1.3495) A B C X889 X100 X190 X187 X237 X890 (a, b, c) = (5, 6, 7) | AB = 1

X890 (ISOGONAL CONJUGATE OF X889) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{2}u(bv - cw)/(a^{2}u^{2} - bcvw) : :\), where \(u : v : w\) = X513
Search Value (6, 9, 13): \(-1.700729647000\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a^{2} (b - c) (a b + a c - 2 b c) : :\)

▸ Incident Central Lines2 lines

{100, 190}, {187, 237}

▸ Functional Relations5 relations