X2841

ISOGONAL CONJUGATE OF X2757

X2841 is the isogonal conjugate of X2757.
< 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) { 56, 106 }: Central Line L(56, 106) { 121, 124 }: Central Line L(121, 124) { 30, 511 }: Central Line L(30, 511) { 46, 978 }: Central Line L(46, 978) { 102, 1293 }: Central Line L(102, 1293) { 1364, 2098 }: Central Line L(1364, 2098) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2757 = SR(X(106), X(109)) (0.0111, 0.2484) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_978 = -CEVA CONJUGATE OF X(1) (0.7456, 0.4040) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1364 = BRISSE TRANSFORM OF X(108) (0.6338, 0.0085) X_2098 = REFLECTION OF X(56) IN X(1) (0.5113, 0.1228) X_2841 = ISOGONAL CONJUGATE OF X(2757) (0.9665, -0.2004) A B C X2757 X56 X106 X121 X124 X30 X511 X46 X978 X102 X1293 X1364 X2098 X2841 (a, b, c) = (5, 6, 7) | AB = 1

X2841 (ISOGONAL CONJUGATE OF X2757) 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 X2757
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines7 lines

{30, 511}, {46, 978}, {56, 106}, {102, 1293}, {121, 124}, {1364, 2098}, {1828, 1845}

▸ Functional Relations1 relation