X2113

X2-ISOCONJUGATE OF X2112

X2113 = X292-cross conjugate of X2
< 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) { 672, 1282 }: Central Line L(672, 1282) { 238, 2112 }: Central Line L(238, 2112) { 1931, 2110 }: Central Line L(1931, 2110) { 1458, 2114 }: Central Line L(1458, 2114) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_2 = CENTROID (0.5374, 0.2000) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1282 = 5th SHARYGIN POINT (-0.1429, 0.8165) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_2112 = POINT KEPLER IV (-0.0981, 0.7800) X_1931 = CROSSDIFFERENCE OF PU(32) (1.7418, 1.7715) X_2110 = POINT KEPLER III (-0.2477, 0.7305) X_1458 = -BETH CONJUGATE OF X(518) (0.8889, 0.9677) X_2114 = POINT KEPLER V (0.1793, 0.8022) X_2113 = -ISOCONJUGATE OF X(2112) (-0.3440, 0.6801) A B C X292 X2 X672 X1282 X238 X2112 X1931 X2110 X1458 X2114 X2113 (a, b, c) = (5, 6, 7) | AB = 1

X2113 (X2-ISOCONJUGATE OF X2112) 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 \(f(a,b,c) = 1/[a^{4} - bca^{2} - (b^{3} + c^{3})a + 2b^{2}c^{2}]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.588781336255\)
▸ Incident Central Lines4 lines

{238, 2112}, {672, 1282}, {1458, 2114}, {1931, 2110}

▸ Functional Relations2 relations