X2054

X2-ISOCONJUGATE OF X1931

X2054 = complement of X20351
< 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) { 2, 846 }: Central Line L(2, 846) { 111, 902 }: Central Line L(111, 902) { 110, 1171 }: Central Line L(110, 1171) { 238, 1931 }: Central Line L(238, 1931) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_111 = PARRY POINT (0.9885, -0.0457) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1171 = 1st SARAGOSSA POINT OF X(42) (0.6052, 0.2763) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1931 = CROSSDIFFERENCE OF PU(32) (1.7418, 1.7715) X_2054 = -ISOCONJUGATE OF X(1931) (0.9934, -0.0217) A B C X2 X846 X111 X902 X110 X1171 X238 X1931 X2054 (a, b, c) = (5, 6, 7) | AB = 1

X2054 (X2-ISOCONJUGATE OF X1931) 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 \(f(a,b,c) = a(b + c)/[(b + c)^{2} - (a + b)(a + c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.775342122105\)
▸ Incident Central Lines4 lines

{2, 846}, {110, 1171}, {111, 902}, {238, 1931}

▸ Functional Relations2 relations