X2738

SR(X103, X107)

X2738 = reflection of X2727 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) { 2727, 3 }: Central Line L(2727, 3) { 103, 520 }: Central Line L(103, 520) { 107, 516 }: Central Line L(107, 516) { 514, 1294 }: Central Line L(514, 1294) { 1304, 2328 }: Central Line L(1304, 2328) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2727 = SR(X(101), X(107)) (0.8176, 0.5015) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1304 = COLLINGS TRANSFORM OF X(403) (0.7822, 0.5273) X_2328 = -ISOCONJUGATE OF X(1427) (0.5015, 0.1414) X_2738 = SR(X(103), X(107)) (0.1824, -0.2974) A B C X2727 X3 X103 X520 X107 X516 X514 X1294 X1304 X2328 X2738 (a, b, c) = (5, 6, 7) | AB = 1

X2738 (SR(X103, X107)) 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 = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.341179696575\)

X2738 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2727}, {103, 520}, {107, 516}, {514, 1294}, {1304, 2328}

▸ Functional Relations2 relations