X2818

ISOGONAL CONJUGATE OF X2734

X2818 is the isogonal conjugate of X2734.
< 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) { 3, 102 }: Central Line L(3, 102) { 5, 117 }: Central Line L(5, 117) { 4, 151 }: Central Line L(4, 151) { 65, 389 }: Central Line L(65, 389) { 30, 511 }: Central Line L(30, 511) { 56, 945 }: Central Line L(56, 945) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_953 = ISOGONAL CONJUGATE OF X(952) (0.0000, 0.2041) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_389 = CENTER OF THE TAYLOR CIRCLE (0.6078, 0.2800) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_945 = ISOGONAL CONJUGATE OF X(944) (0.6020, 0.4506) X_2818 = ISOGONAL CONJUGATE OF X(2734) (0.3806, 0.7655) A B C X4 X953 X3 X102 X5 X117 X151 X65 X389 X30 X511 X56 X945 X2818 (a, b, c) = (5, 6, 7) | AB = 1

X2818 (ISOGONAL CONJUGATE OF X2734) 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 X2734
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines10 lines

{1, 1361}, {3, 102}, {4, 151}, {5, 117}, {30, 511}, {40, 1745}, {56, 945}, {65, 389}, {296, 2263}, {1482, 1854}

▸ Functional Relations3 relations