X2821

ISOGONAL CONJUGATE OF X2737

X2821 is the isogonal conjugate of X2737.
< 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) { 103, 106 }: Central Line L(103, 106) { 118, 121 }: Central Line L(118, 121) { 30, 511 }: Central Line L(30, 511) { 40, 659 }: Central Line L(40, 659) { 101, 1293 }: Central Line L(101, 1293) { 3, 1960 }: Central Line L(3, 1960) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2737 = SR(X(103), X(106)) (0.9169, -0.1922) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_40 = BEVAN POINT (0.4286, -0.0292) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1960 = BICENTRIC SUM OF PU(25) (1.2500, 1.2247) X_2821 = ISOGONAL CONJUGATE OF X(2737) (0.8634, 0.6879) A B C X2737 X103 X106 X118 X121 X30 X511 X40 X659 X101 X1293 X3 X1960 X2821 (a, b, c) = (5, 6, 7) | AB = 1

X2821 (ISOGONAL CONJUGATE OF X2737) 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 X2737
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{3, 1960}, {30, 511}, {40, 659}, {101, 1293}, {103, 106}, {118, 121}

▸ Functional Relations1 relation