X1932¶
CROSSSUM OF PU(14)
X1932 (CROSSSUM OF PU(14)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶
Constructed Elements
Central Lines: {293, 774}
Related Centers: X1927 (TRILINEAR POLE OF PU(13)), X1933 (CROSSDIFFERENCE OF PU(14)), X293 (ISOGONAL CONJUGATE OF X240), X774 (CROSSPOINT OF X1 AND X158)
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): \(0.312852932810\)
Functional Relations4 relations
X1932 = isogonal conjugate of X9239
X1932 = intersection of tangents at PU(13) to conic {A, B, C,PU(13)}
X1932 = crosspoint of PU(13)