X2820

ISOGONAL CONJUGATE OF X2736

X2820 is the isogonal conjugate of X2736.
< 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, 105 }: Central Line L(103, 105) { 118, 120 }: Central Line L(118, 120) { 30, 511 }: Central Line L(30, 511) { 101, 1292 }: Central Line L(101, 1292) { 165, 1635 }: Central Line L(165, 1635) { 657, 1734 }: Central Line L(657, 1734) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2736 = SR(X(103), X(105)) (0.9653, -0.1075) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_1635 = TRIPOLAR CENTROID OF X(1) (2.1429, 2.0996) X_657 = CROSSDIFFERENCE OF X(1) AND X(7) (10.1538, -2.2611) X_1734 = MIMOSA TRANSFORM OF X(101) (10.6667, -1.6330) X_2820 = ISOGONAL CONJUGATE OF X(2736) (0.9086, 0.6545) A B C X2736 X103 X105 X118 X120 X30 X511 X101 X1292 X165 X1635 X657 X1734 X2820 (a, b, c) = (5, 6, 7) | AB = 1

X2820 (ISOGONAL CONJUGATE OF X2736) 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 X2736
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{30, 511}, {101, 1292}, {103, 105}, {118, 120}, {165, 1635}, {657, 1734}

▸ Functional Relations3 relations