X1248

ISOGONAL CONJUGATE OF X1047

X1248 is the isogonal conjugate of X1047.
< 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) { 1, 410 }: Central Line L(1, 410) { 255, 416 }: Central Line L(255, 416) { 73, 1047 }: Central Line L(73, 1047) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_1 = INCENTER (0.5714, 0.2333) X_410 = EULER X(29)-1st-SUBSTITUTION POINT (0.5800, 0.3115) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_416 = -HIRST INVERSE OF X(21) (0.0862, -0.9805) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_1047 = -CEVA CONJUGATE OF X(1) (0.5281, -0.0076) X_1248 = ISOGONAL CONJUGATE OF X(1047) (0.6139, 0.6190) A B C X29 X1 X410 X255 X416 X73 X1047 X1248 (a, b, c) = (5, 6, 7) | AB = 1

X1248 (ISOGONAL CONJUGATE OF X1047) 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 in X1047
Search Value (6, 9, 13): \(1.655704428881\)
▸ Incident Central Lines3 lines

{1, 410}, {73, 1047}, {255, 416}

▸ Functional Relations2 relations