X2578

X2-ISOCONJUGATE OF X1113

X2578 = isogonal conjugate of X2580
< 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) { 44, 513 }: Central Line L(44, 513) { 163, 1822 }: Central Line L(163, 1822) { 71, 2574 }: Central Line L(71, 2574) { 1114, 2249 }: Central Line L(1114, 2249) { 2159, 2577 }: Central Line L(2159, 2577) { 19, 2588 }: Central Line L(19, 2588) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2580 = -ISOCONJUGATE OF X(2574) (0.7025, 0.5830) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_1822 = ISOGONAL CONJUGATE OF X(2588) (0.8290, 0.5718) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_2574 = ISOGONAL CONJUGATE OF X(1113) (-0.0479, 0.1579) X_1114 = 2nd EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.3178, -0.3746) X_2249 = -ISOCONJUGATE OF X(851) (0.8254, -0.2910) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) X_2577 = -ISOCONJUGATE OF X(2575) (0.3425, -0.5891) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2588 = -ISOCONJUGATE OF X(1113) (2.4671, 0.4270) X_2578 = -ISOCONJUGATE OF X(1113) (5.2085, 0.4308) A B C X2580 X44 X513 X163 X1822 X71 X2574 X1114 X2249 X2159 X2577 X19 X2588 X2578 (a, b, c) = (5, 6, 7) | AB = 1

X2578 (X2-ISOCONJUGATE OF X1113) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) = X1113
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a) : c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-22.470902650788\)
▸ Incident Central Lines9 lines

{19, 2588}, {44, 513}, {48, 2584}, {63, 2582}, {71, 2574}, {163, 1822}, {1114, 2249}, {1821, 2581}, {2159, 2577}

▸ Functional Relations5 relations