X2746

SR(X104, X111)

X2746 = reflection of X2721 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) { 2721, 3 }: Central Line L(2721, 3) { 111, 517 }: Central Line L(111, 517) { 104, 525 }: Central Line L(104, 525) { 100, 1499 }: Central Line L(100, 1499) { 513, 1296 }: Central Line L(513, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2721 = SR(X(100), X(111)) (0.1108, 0.4321) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_111 = PARRY POINT (0.9885, -0.0457) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1499 = POINT BIHAM (0.1078, 0.5997) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2746 = SR(X(104), X(111)) (0.8892, -0.2279) A B C X2721 X3 X111 X517 X104 X525 X100 X1499 X513 X1296 X2746 (a, b, c) = (5, 6, 7) | AB = 1

X2746 (SR(X104, X111)) 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 = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.538620432380\)

X2746 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2721}, {100, 1499}, {104, 525}, {111, 517}, {513, 1296}

▸ Functional Relations3 relations