X2662

CROSSSUM OF PU(82)

X2662 = crosspoint of PU(83)
< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 73, 1047 }: Central Line L(73, 1047) { 29, 2655 }: Central Line L(29, 2655) { 653, 2656 }: Central Line L(653, 2656) 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_3 = CIRCUMCENTER (0.5000, 0.1021) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_1047 = -CEVA CONJUGATE OF X(1) (0.5281, -0.0076) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_2655 = CROSSDIFFERENCE OF PU(82) (-2.9838, -13.9181) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_2656 = TRILINEAR POLE OF PU(82) (0.6337, -0.4192) X_2662 = CROSSSUM OF PU(82) (0.5576, 0.2079) A B C X1 X3 X73 X1047 X29 X2655 X653 X2656 X2662 (a, b, c) = (5, 6, 7) | AB = 1

X2662 (CROSSSUM OF PU(82)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A + \sec B)(\sec A + \sec C) + (\sec B + \sec C)^{2}\)
Search Value (6, 9, 13): \(-1.216699884863\)
▸ Incident Central Lines4 lines

{1, 3}, {29, 2655}, {73, 1047}, {653, 2656}

▸ Functional Relations1 relation

  • X2662 = crosspoint of PU(83)