X2861

SM(X100, X104)

X2861 = isogonal conjugate of X2875
< 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) { 104, 693 }: Central Line L(104, 693) { 101, 908 }: Central Line L(101, 908) { 264, 1309 }: Central Line L(264, 1309) { 7, 2720 }: Central Line L(7, 2720) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2875 = ISOGONAL CONJUGATE OF X(2861) (0.2008, 0.6807) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_1309 = COLLINGS TRANSFORM OF X(860) (0.4052, -0.3994) X_7 = GERGONNE POINT (0.5903, 0.2769) X_2720 = SR(X(100), X(108)) (0.9103, 0.4054) X_2861 = SM(X(100), X(104)) (-0.0062, 0.0373) A B C X2875 X104 X693 X101 X908 X264 X1309 X7 X2720 X2861 (a, b, c) = (5, 6, 7) | AB = 1

X2861 (SM(X100, X104)) 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 = X100 and U = X104
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.149119109579\)

X2861 lies on the circumcircle.

▸ Incident Central Lines4 lines

{7, 2720}, {101, 908}, {104, 693}, {264, 1309}

▸ Functional Relations1 relation