X2936

TANGENTIAL-ISOGONAL CONJUGATE OF X187

X2936 is the tangential-isogonal conjugate of X187.
< 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) { 3, 67 }: Central Line L(3, 67) { 22, 99 }: Central Line L(22, 99) { 25, 543 }: Central Line L(25, 543) { 147, 2071 }: Central Line L(147, 2071) { 671, 1995 }: Central Line L(671, 1995) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_22 = EXETER POINT (0.4143, -0.1221) X_99 = STEINER POINT (0.1109, 0.4322) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_543 = DIRECTION OF VECTOR AX + BX + CX, where X = X(99) (0.0220, 0.4806) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_2071 = INVERSE-IN-CIRCUMCIRCLE OF X(20) (0.2043, -0.6716) X_671 = TRILINEAR POLE OF LINE X(2)X(523) (0.9639, -0.0323) X_1995 = ORTHOCORRESPONDENT OF X(6) (0.5718, 0.2899) X_2936 = TANGENTIAL-ISOGONAL CONJUGATE OF X(187) (-0.1244, 0.8621) A B C X187 X3 X67 X22 X99 X25 X543 X147 X2071 X671 X1995 X2936 (a, b, c) = (5, 6, 7) | AB = 1

X2936 (TANGENTIAL-ISOGONAL CONJUGATE OF X187) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.167732590246\)
▸ Incident Central Lines5 lines

{3, 67}, {22, 99}, {25, 543}, {147, 2071}, {671, 1995}