X2958

EXCENTRAL-ISOGONAL CONJUGATE OF X101

X2958 is the excentral-isogonal conjugate of X101.
< 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) { 484, 516 }: Central Line L(484, 516) { 1, 1262 }: Central Line L(1, 1262) { 514, 1768 }: Central Line L(514, 1768) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1146 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(8)}} (0.6866, 0.0428) X_1 = INCENTER (0.5714, 0.2333) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_1262 = ISOGONAL CONJUGATE OF X(1146) (0.5738, 0.4961) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1768 = MIMOSA TRANSFORM OF X(521) (1.1429, -0.7582) X_2958 = EXCENTRAL-ISOGONAL CONJUGATE OF X(101) (0.5646, -0.5082) A B C X1146 X1 X484 X516 X1262 X514 X1768 X2958 (a, b, c) = (5, 6, 7) | AB = 1

X2958 (EXCENTRAL-ISOGONAL CONJUGATE OF X101) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(22.392528921679\)
▸ Incident Central Lines3 lines

{1, 1262}, {484, 516}, {514, 1768}

▸ Functional Relations2 relations