X2741

SR(X103, X112)

X2741 = isogonal conjugate of X2825
< 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) { 103, 525 }: Central Line L(103, 525) { 112, 516 }: Central Line L(112, 516) { 101, 1503 }: Central Line L(101, 1503) { 514, 1297 }: Central Line L(514, 1297) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2825 = ISOGONAL CONJUGATE OF X(2741) (0.3745, 0.7638) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1503 = POINT ARKAB (0.4818, -0.3843) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1297 = COLLINGS TRANSFORM OF X(127) (0.4838, -0.4080) X_2741 = SR(X(103), X(112)) (0.1396, -0.2592) A B C X2825 X103 X525 X112 X516 X101 X1503 X514 X1297 X2741 (a, b, c) = (5, 6, 7) | AB = 1

X2741 (SR(X103, X112)) 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 as given just before X2677 using P = X103, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.757642913733\)

X2741 lies on the circumcircle.

▸ Incident Central Lines4 lines

{101, 1503}, {103, 525}, {112, 516}, {514, 1297}

▸ Functional Relations1 relation