X2134

EIGENTRANSFORM OF X37

X2134 = X37-Ceva conjugate of X81
< 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) { 81, 763 }: Central Line L(81, 763) { 1, 1326 }: Central Line L(1, 1326) { 39, 1931 }: Central Line L(39, 1931) { 37, 2135 }: Central Line L(37, 2135) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_763 = ISOGONAL CONJUGATE OF X(762) (0.6080, 0.2866) X_1 = INCENTER (0.5714, 0.2333) X_1326 = INVERSE-IN-CIRCUMCIRCLE OF X(58) (1.1309, 1.1440) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_1931 = CROSSDIFFERENCE OF PU(32) (1.7418, 1.7715) X_2135 = ISOGONAL CONJUGATE OF X(2134) (0.5996, 0.2982) X_2134 = EIGENTRANSFORM OF X(37) (0.5347, 0.1734) A B C X37 X81 X763 X1 X1326 X39 X1931 X2135 X2134 (a, b, c) = (5, 6, 7) | AB = 1

X2134 (EIGENTRANSFORM OF X37) 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 \(u : v : w\) = X37
Barycentrics: \(af(u,v,w) : bf(v,w,u) : cf(w,u,v)\)
Search Value (6, 9, 13): \(3.150614050104\)

X2134 lies on the.

▸ Incident Central Lines4 lines

{1, 1326}, {37, 2135}, {39, 1931}, {81, 763}

▸ Functional Relations2 relations