X2147

X2-ISOCONJUGATE OF X2146

X2147 = X292-cross conjugate of X365
< 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) { 238, 2146 }: Central Line L(238, 2146) { 365, 2144 }: Central Line L(365, 2144) { 2108, 2118 }: Central Line L(2108, 2118) 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_365 = SQUARE ROOT POINT (0.5864, 0.2502) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_2146 = -CEVA CONJUGATE OF X(365) (-0.3206, 0.6940) X_2144 = -EIGENTRANSFORM OF X(238) (0.9864, -0.0446) X_2108 = POINT KEPLER I (-0.3883, 0.6500) X_2118 = POINT KEPLER VII (1.6762, 1.6136) X_2147 = -ISOCONJUGATE OF X(2146) (-0.1236, 0.7736) A B C X292 X365 X238 X2146 X2144 X2108 X2118 X2147 (a, b, c) = (5, 6, 7) | AB = 1

X2147 (X2-ISOCONJUGATE OF X2146) 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 \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) = X2146
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a) : c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.970519984799\)

X2147 lies on the 2nd equal-areas cubic (K155).

▸ Incident Central Lines3 lines

{238, 2146}, {365, 2144}, {2108, 2118}

▸ Functional Relations1 relation