X2126

EIGENTRANSFORM OF X10

X2126 = X10-Ceva conjugate of X58
< 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, 229 }: Central Line L(1, 229) { 5, 572 }: Central Line L(5, 572) { 49, 970 }: Central Line L(49, 970) { 10, 2127 }: Central Line L(10, 2127) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1 = INCENTER (0.5714, 0.2333) X_229 = -CEVA CONJUGATE OF X(81) (0.5961, 0.2991) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_970 = CENTER OF THE APOLLONIUS CIRCLE (0.2643, -0.2872) X_2127 = ISOGONAL CONJUGATE OF X(2126) (0.5664, 0.2207) X_2126 = EIGENTRANSFORM OF X(10) (0.5762, 0.2461) A B C X10 X58 X1 X229 X5 X572 X49 X970 X2127 X2126 (a, b, c) = (5, 6, 7) | AB = 1

X2126 (EIGENTRANSFORM OF X10) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(u,v,w) : f(v,w,u) : f(w,u,v)\), where f is as given just before X2120 and \(u : v : w\) = X10
Barycentrics: \(af(u,v,w) : bf(v,w,u) : cf(w,u,v)\)
Search Value (6, 9, 13): \(-10.979806275522\)
▸ Incident Central Lines4 lines

{1, 229}, {5, 572}, {10, 2127}, {49, 970}

▸ Functional Relations2 relations