X2739

SR(X103, X108)

X2739 = reflection of X2728 in X3
< 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) { 2728, 3 }: Central Line L(2728, 3) { 103, 521 }: Central Line L(103, 521) { 108, 516 }: Central Line L(108, 516) { 514, 1295 }: Central Line L(514, 1295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2728 = SR(X(101), X(108)) (0.8490, 0.4743) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_2739 = SR(X(103), X(108)) (0.1510, -0.2702) A B C X2728 X3 X103 X521 X108 X516 X514 X1295 X2739 (a, b, c) = (5, 6, 7) | AB = 1

X2739 (SR(X103, X108)) 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 = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.948110304563\)

X2739 lies on the circumcircle.

▸ Incident Central Lines4 lines

{3, 2728}, {103, 521}, {108, 516}, {514, 1295}

▸ Functional Relations2 relations