X2747

SR(X104, X112)

X2747 = reflection of X2722 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) { 2722, 3 }: Central Line L(2722, 3) { 104, 525 }: Central Line L(104, 525) { 112, 517 }: Central Line L(112, 517) { 100, 1503 }: Central Line L(100, 1503) { 321, 1309 }: Central Line L(321, 1309) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2722 = SR(X(100), X(112)) (0.9195, 0.3926) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1503 = POINT ARKAB (0.4818, -0.3843) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_1309 = COLLINGS TRANSFORM OF X(860) (0.4052, -0.3994) X_2747 = SR(X(104), X(112)) (0.0805, -0.1885) A B C X2722 X3 X104 X525 X112 X517 X100 X1503 X321 X1309 X2747 (a, b, c) = (5, 6, 7) | AB = 1

X2747 (SR(X104, 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 = X104, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.598781549585\)

X2747 lies on the circumcircle.

▸ Incident Central Lines8 lines

{3, 2722}, {100, 1503}, {101, 2312}, {104, 525}, {112, 517}, {321, 1309}, {513, 1297}, {1214, 2720}

▸ Functional Relations2 relations