X1954

CROSSSUM OF PU(21)

< 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, 21 }: Central Line L(1, 21) { 92, 1955 }: Central Line L(92, 1955) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1955 = CROSSDIFFERENCE OF PU(21) (-1.1271, -5.8688) X_1954 = CROSSSUM OF PU(21) (0.5516, 0.2073) A B C X1 X21 X92 X1955 X1954 (a, b, c) = (5, 6, 7) | AB = 1

X1954 (CROSSSUM OF PU(21)) 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 \(f(a,b,c) = \sin 2B \sin 2C + \sin^{2} 2A\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.640980806480\)
▸ Incident Central Lines2 lines

{1, 21}, {92, 1955}