X2744

SR(X104, X107)

X2744 = reflection of X2719 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) { 2719, 3 }: Central Line L(2719, 3) { 104, 520 }: Central Line L(104, 520) { 107, 517 }: Central Line L(107, 517) { 72, 1309 }: Central Line L(72, 1309) { 513, 1294 }: Central Line L(513, 1294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2719 = SR(X(100), X(107)) (0.8843, 0.4378) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_1309 = COLLINGS TRANSFORM OF X(860) (0.4052, -0.3994) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_2744 = SR(X(104), X(107)) (0.4349, 0.0452) A B C X2719 X3 X104 X520 X107 X517 X72 X1309 X513 X1294 X2744 (a, b, c) = (5, 6, 7) | AB = 1

X2744 (SR(X104, 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 = X104, U = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.955710664858\)

X2744 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2719}, {72, 1309}, {104, 520}, {107, 517}, {513, 1294}

▸ Functional Relations2 relations