X2589

X3-ISOCONJUGATE OF X1114

X2589 = isogonal conjugate of X1823
< 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) { 240, 522 }: Central Line L(240, 522) { 11, 1312 }: Central Line L(11, 1312) { 759, 1113 }: Central Line L(759, 1113) { 162, 1823 }: Central Line L(162, 1823) { 1, 2583 }: Central Line L(1, 2583) { 19, 2579 }: Central Line L(19, 2579) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1823 = ISOGONAL CONJUGATE OF X(2589) (0.3317, -0.0818) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1312 = 1st MOSES INTERSECTION (0.6472, 0.4872) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_1 = INCENTER (0.5714, 0.2333) X_2583 = -ISOCONJUGATE OF X(1114) (0.6162, -2.4277) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2579 = -ISOCONJUGATE OF X(1114) (0.2632, 3.1227) X_2589 = -ISOCONJUGATE OF X(1114) (0.5601, 0.9061) A B C X1823 X240 X522 X11 X1312 X759 X1113 X162 X1 X2583 X19 X2579 X2589 (a, b, c) = (5, 6, 7) | AB = 1

X2589 (X3-ISOCONJUGATE OF X1114) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A)/f(a,b,c) : (\sec B)/f(b,c,a) : (\sec C)/f(c,a,b)\), where f(a,b,c) is as at X1114
Barycentrics: \((\tan A)/f(a,b,c) : (\tan B)/f(b,c,a) : (\tan C)/f(c,a,b)\)
Search Value (6, 9, 13): \(1.009806117439\)
▸ Incident Central Lines10 lines

{1, 2583}, {10, 2593}, {11, 1312}, {19, 2579}, {65, 2575}, {162, 1823}, {240, 522}, {759, 1113}, {897, 2580}, {1910, 2576}

▸ Functional Relations3 relations