X2856

SM(X98, X100)

X2856 = isogonal conjugate of X2870
< 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) { 100, 325 }: Central Line L(100, 325) { 98, 693 }: Central Line L(98, 693) { 101, 1959 }: Central Line L(101, 1959) { 81, 2715 }: Central Line L(81, 2715) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2870 = ISOGONAL CONJUGATE OF X(2856) (0.8951, -0.2653) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_98 = TARRY POINT (0.8891, -0.2281) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1959 = CROSSDIFFERENCE OF PU(23) (-0.9410, -1.7546) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_2715 = SR(X(99), X(112)) (0.9444, 0.3528) X_2856 = SM(X(98), X(100)) (-0.0099, 0.0825) A B C X2870 X100 X325 X98 X693 X101 X1959 X81 X2715 X2856 (a, b, c) = (5, 6, 7) | AB = 1

X2856 (SM(X98, X100)) 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) is given just before X2855 using P = X98 and U = X100
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.998458444976\)

X2856 lies on the circumcircle.

▸ Incident Central Lines4 lines

{81, 2715}, {98, 693}, {100, 325}, {101, 1959}

▸ Functional Relations1 relation