X1932

CROSSSUM OF PU(14)

< 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) { 293, 774 }: Central Line L(293, 774) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1927 = TRILINEAR POLE OF PU(13) (0.9865, 0.0569) X_1933 = CROSSDIFFERENCE OF PU(14) (0.8524, 0.7964) X_293 = ISOGONAL CONJUGATE OF X(240) (0.7839, -0.0636) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_1932 = CROSSSUM OF PU(14) (0.6266, 0.3438) A B C X1927 X1933 X293 X774 X1932 (a, b, c) = (5, 6, 7) | AB = 1

X1932 (CROSSSUM OF PU(14)) 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 \(f(a,b,c) = a^{2}(a^{4} + b^{2}c^{2})\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.312852932810\)
▸ Incident Central Lines1 line

{293, 774}

▸ Functional Relations4 relations