X2137

ISOGONAL CONJUGATE OF X2136

X2137 is the isogonal conjugate of X2136.
< 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) { 57, 145 }: Central Line L(57, 145) { 56, 1743 }: Central Line L(56, 1743) { 1407, 1420 }: Central Line L(1407, 1420) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_1407 = -BETH CONJUGATE OF X(57) (0.6456, 0.4125) X_1420 = -BETH CONJUGATE OF X(145) (0.6753, 0.4242) X_2137 = ISOGONAL CONJUGATE OF X(2136) (-4.1633, -1.4664) A B C X9 X57 X145 X56 X1743 X1407 X1420 X2137 (a, b, c) = (5, 6, 7) | AB = 1

X2137 (ISOGONAL CONJUGATE OF X2136) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a (a+b-c) \cdot (a^{2}-2 (3 b-c) a+(b+c)^{2}) \cdot (a^{2}+2 (b-3 c) a+(b+c)^{2}) \cdot (a-b+c) : :\)
Search Value (6, 9, 13): \(-0.899970648791\)

X2137 lies on the cubic K830.

▸ Incident Central Lines3 lines

{56, 1743}, {57, 145}, {1407, 1420}

▸ Functional Relations2 relations