X2813

ISOGONAL CONJUGATE OF X2729

X2813 is the isogonal conjugate of X2729.
< 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) { 42, 101 }: Central Line L(42, 101) { 116, 126 }: Central Line L(116, 126) { 30, 511 }: Central Line L(30, 511) { 103, 1296 }: Central Line L(103, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2729 = SR(X(101), X(111)) (0.0577, 0.3566) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_126 = -OF-MEDIAL-TRIANGLE (0.3119, 0.3228) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2813 = ISOGONAL CONJUGATE OF X(2729) (1.0098, -0.1482) A B C X2729 X42 X101 X116 X126 X30 X511 X103 X1296 X2813 (a, b, c) = (5, 6, 7) | AB = 1

X2813 (ISOGONAL CONJUGATE OF X2729) 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 at X2729
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {42, 101}, {103, 1296}, {116, 126}

▸ Functional Relations1 relation