X2111

X2-ISOCONJUGATE OF X2110

< 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) { 239, 672 }: Central Line L(239, 672) { 238, 2110 }: Central Line L(238, 2110) { 2106, 2112 }: Central Line L(2106, 2112) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_2110 = POINT KEPLER III (-0.2477, 0.7305) X_2106 = POINT KEPLER I (1.5281, 1.2647) X_2112 = POINT KEPLER IV (-0.0981, 0.7800) X_2111 = -ISOCONJUGATE OF X(2110) (-0.1997, 0.7497) A B C X239 X672 X238 X2110 X2106 X2112 X2111 (a, b, c) = (5, 6, 7) | AB = 1

X2111 (X2-ISOCONJUGATE OF X2110) 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 \(f(a,b,c) = 1/[(b^{2} + bc + c^{2})a^{3} - (b + c)(b^{2} + c^{2})a^{2} - bc(b^{2} - bc + c^{2})a + b^{2}c^{2}(b + c)]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.286092153058\)
▸ Incident Central Lines3 lines

{238, 2110}, {239, 672}, {2106, 2112}

▸ Functional Relations1 relation