X2577

X2-ISOCONJUGATE OF X2575

X2577 = isogonal conjugate of X2583
< 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) { 1, 19 }: Central Line L(1, 19) { 101, 1114 }: Central Line L(101, 1114) { 163, 1823 }: Central Line L(163, 1823) { 1755, 1822 }: Central Line L(1755, 1822) { 662, 2581 }: Central Line L(662, 2581) { 2159, 2578 }: Central Line L(2159, 2578) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_2579 = -ISOCONJUGATE OF X(1114) (0.2632, 3.1227) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1114 = 2nd EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.3178, -0.3746) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_1823 = ISOGONAL CONJUGATE OF X(2589) (0.3317, -0.0818) X_1755 = MIMOSA TRANSFORM OF X(287) (1.5943, 2.3982) X_1822 = ISOGONAL CONJUGATE OF X(2588) (0.8290, 0.5718) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_2581 = -ISOCONJUGATE OF X(2575) (0.2923, -0.2520) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) X_2578 = -ISOCONJUGATE OF X(1113) (5.2085, 0.4308) X_2577 = -ISOCONJUGATE OF X(2575) (0.3425, -0.5891) A B C X48 X2579 X1 X19 X101 X1114 X163 X1823 X1755 X1822 X662 X2581 X2159 X2578 X2577 (a, b, c) = (5, 6, 7) | AB = 1

X2577 (X2-ISOCONJUGATE OF X2575) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\), where f(a,b,c) = X1114
Barycentrics: \(a^{2}f(a,b,c) : b^{2}f(b,c,a) : c^{2}f(c,a,b)\)
Search Value (6, 9, 13): \(-9.851888438747\)
▸ Incident Central Lines6 lines

{1, 19}, {101, 1114}, {163, 1823}, {662, 2581}, {1755, 1822}, {2159, 2578}

▸ Functional Relations7 relations