X1925

CROSSSUM OF PU(13)

X1925 = X1934-Ceva conjugate of X1926
< 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) { 92, 304 }: Central Line L(92, 304) { 76, 335 }: Central Line L(76, 335) { 469, 1601 }: Central Line L(469, 1601) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_469 = EULER LINE INTERCEPT OF LINE X(92)X(264) (0.6071, 0.3824) X_1601 = TCC-PERSPECTOR OF X(5) (0.4370, 0.2016) X_1925 = CROSSSUM OF PU(13) (0.4347, 0.1429) A B C X92 X304 X76 X335 X469 X1601 X1925 (a, b, c) = (5, 6, 7) | AB = 1

X1925 (CROSSSUM OF PU(13)) 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 \(f(a,b,c) = 1 + b^{2}c^{2}/a^{4}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.415621151482\)
▸ Incident Central Lines3 lines

{76, 335}, {92, 304}, {469, 1601}

▸ Functional Relations5 relations