X2603

TRILINEAR POLE OF PU(69)

X2603 = cevapoint of X2595 and X2596
< 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, 2597 }: Central Line L(1, 2597) { 2594, 2601 }: Central Line L(2594, 2601) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2595 = CROSSSUM OF PU(68) (0.5650, 0.2411) X_2596 = CROSSDIFFERENCE OF PU(68) (-2.5195, 3.3880) X_1 = INCENTER (0.5714, 0.2333) X_2597 = TRILINEAR POLE OF PU(68) (-0.0331, 0.2426) X_2594 = SUM OF PU(68) (0.5791, 0.2254) X_2601 = CROSSSUM OF PU(69) (0.5810, 0.2254) X_2603 = TRILINEAR POLE OF PU(69) (0.0091, 0.2419) A B C X2595 X2596 X1 X2597 X2594 X2601 X2603 (a, b, c) = (5, 6, 7) | AB = 1

X2603 (TRILINEAR POLE OF PU(69)) 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 \(f(A,B,C) = 1/[\sec(A - B) \sec(A - C) - \sec^{2}(B - C)]\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(2.449472417657\)
▸ Incident Central Lines2 lines

{1, 2597}, {2594, 2601}

▸ Functional Relations2 relations