X286

X4-CROSS CONJUGATE OF X27

X286 = isogonal conjugate of X228
< 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) { 19, 27 }: Central Line L(19, 27) { 29, 34 }: Central Line L(29, 34) { 4, 69 }: Central Line L(4, 69) { 28, 242 }: Central Line L(28, 242) { 7, 331 }: Central Line L(7, 331) { 112, 767 }: Central Line L(112, 767) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_19 = CLAWSON POINT (0.6246, 0.4244) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_7 = GERGONNE POINT (0.5903, 0.2769) X_331 = ISOTOMIC CONJUGATE OF X(219) (0.6062, 0.4046) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_767 = EVEN (3, 4) CIRCUMCIRCLE POINT (0.8487, -0.2706) X_286 = -CROSS CONJUGATE OF X(27) (0.6033, 0.3810) A B C X4 X27 X19 X29 X34 X69 X28 X242 X7 X331 X112 X767 X286 (a, b, c) = (5, 6, 7) | AB = 1

X286 (X4-CROSS CONJUGATE OF X27) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\csc 2A)/(\sin B + \sin C) : (\csc 2B)/(\sin C + \sin A) : (\csc 2C)/(\sin A + \sin B)\)
Barycentrics: \((\sec A)/(\sin B + \sin C) : (\sec B)/(\sin C + \sin A) : (\sec C)/(\sin A + \sin B)\)
Search Value (6, 9, 13): \(-17.390107023003\)
▸ Incident Central Lines9 lines

{4, 69}, {7, 331}, {19, 27}, {28, 242}, {29, 34}, {99, 915}, {112, 767}, {158, 969}, {322, 1043}

▸ Functional Relations9 relations