X2094

REFLECTION OF X2 IN X57

X2094 is the reflection of X2 in X57.
< 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) { 2, 57 }: Centroid–Gergonne Line { 2, 7 }: Centroid–Gergonne Line { 376, 517 }: Central Line L(376, 517) { 189, 1121 }: Central Line L(189, 1121) { 524, 2087 }: Central Line L(524, 2087) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_7 = GERGONNE POINT (0.5903, 0.2769) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_189 = CYCLOCEVIAN CONJUGATE OF X(8) (0.6131, 0.7055) X_1121 = -BLAIKIE TRANSFORM OF X(2) (0.8358, -0.1143) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_2087 = PK-TRANSFORM OF X(100) (2.1429, 2.0996) X_2094 = REFLECTION OF X(2) IN X(57) (0.6901, 0.4221) A B C X2 X57 X7 X376 X517 X189 X1121 X524 X2087 X2094 (a, b, c) = (5, 6, 7) | AB = 1

X2094 (REFLECTION OF X2 IN X57) 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) is as noted just above X2093
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.868458209453\)
▸ Incident Central Lines7 lines

{2, 7}, {30, 2095}, {189, 1121}, {376, 517}, {519, 2093}, {524, 2087}, {999, 1621}

▸ Functional Relations2 relations