X2794

ISOGONAL CONJUGATE OF X2710

X2794 is the isogonal conjugate of X2710.
< 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) { 4, 32 }: Central Line L(4, 32) { 3, 114 }: Central Line L(3, 114) { 20, 99 }: Central Line L(20, 99) { 30, 511 }: Central Line L(30, 511) { 125, 1316 }: Central Line L(125, 1316) { 187, 1513 }: Central Line L(187, 1513) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2710 = SR(X(98), X(112)) (0.0556, -0.1487) X_4 = ORTHOCENTER (0.6122, 0.3958) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_99 = STEINER POINT (0.1109, 0.4322) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_1316 = 5th MOSES INTERSECTION (0.5678, 0.2795) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_1513 = ORTHOJOIN OF X(2) (1.0602, 1.5678) X_2794 = ISOGONAL CONJUGATE OF X(2710) (0.7755, -0.3365) A B C X2710 X4 X32 X3 X114 X20 X99 X30 X511 X125 X1316 X187 X1513 X2794 (a, b, c) = (5, 6, 7) | AB = 1

X2794 (ISOGONAL CONJUGATE OF X2710) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2710
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines9 lines

{3, 114}, {4, 32}, {20, 99}, {30, 511}, {67, 2453}, {125, 1316}, {187, 1513}, {376, 2482}, {1352, 3734}

▸ Functional Relations1 relation