X2840

ISOGONAL CONJUGATE OF X2756

X2840 is the isogonal conjugate of X2756.
< 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) { 34, 106 }: Central Line L(34, 106) { 121, 123 }: Central Line L(121, 123) { 30, 511 }: Central Line L(30, 511) { 1293, 1295 }: Central Line L(1293, 1295) { 1357, 1359 }: Central Line L(1357, 1359) { 1054, 1722 }: Central Line L(1054, 1722) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2756 = SR(X(106), X(108)) (-0.0099, 0.0804) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_1357 = BRISSE TRANSFORM OF X(100) (0.8000, 0.1866) X_1359 = BRISSE TRANSFORM OF X(102) (0.5861, 0.4661) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_1722 = MIMOSA TRANSFORM OF X(56) (0.8571, 0.5132) X_2840 = ISOGONAL CONJUGATE OF X(2756) (-2643785.0446, 3453826.2624) A B C X2756 X34 X106 X121 X123 X30 X511 X1293 X1295 X1357 X1359 X1054 X1722 X2840 (a, b, c) = (5, 6, 7) | AB = 1

X2840 (ISOGONAL CONJUGATE OF X2756) 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 X2756
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{30, 511}, {34, 106}, {121, 123}, {1054, 1722}, {1293, 1295}, {1357, 1359}

▸ Functional Relations1 relation