X2935

TANGENTIAL-ISOGONAL CONJUGATE OF X186

X2935 is the tangential-isogonal conjugate of X186.
< 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) { 1498, 110 }: Central Line L(1498, 110) { 6, 74 }: Central Line L(6, 74) { 3, 113 }: Central Line L(3, 113) { 64, 155 }: Central Line L(64, 155) { 154, 1511 }: Central Line L(154, 1511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1498 = REFLECTION OF X(64) IN X(3) (0.4421, -1.3902) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_155 = EIGENCENTER OF ORTHIC TRIANGLE (1.1658, 0.5033) X_154 = -CEVA CONJUGATE OF X(6) (0.4807, -0.3954) X_1511 = FERMAT CROSSSUM (0.3758, 0.3250) X_2935 = TANGENTIAL-ISOGONAL CONJUGATE OF X(186) (0.0611, 2.4859) A B C X1498 X110 X6 X74 X3 X113 X64 X155 X154 X1511 X2935 (a, b, c) = (5, 6, 7) | AB = 1

X2935 (TANGENTIAL-ISOGONAL CONJUGATE OF X186) 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): \(19.877724225850\)
▸ Incident Central Lines17 lines

{1, 2778}, {3, 113}, {4, 2929}, {6, 74}, {20, 2917}, {30, 2931}, {64, 155}, {110, 1498}, {125, 1593}, {146, 2071}, {154, 1511}, {186, 1514}, {265, 1853}, {376, 2916}, {550, 2918}, {1294, 1632}, {1503, 2892}

▸ Functional Relations4 relations