X2743

SR(X104, X106)

X2743 = reflection of X2718 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) { 2718, 3 }: Central Line L(2718, 3) { 104, 519 }: Central Line L(104, 519) { 106, 517 }: Central Line L(106, 517) { 40, 953 }: Central Line L(40, 953) { 165, 840 }: Central Line L(165, 840) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2718 = SR(X(100), X(106)) (0.1429, 0.4666) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_40 = BEVAN POINT (0.4286, -0.0292) X_953 = ISOGONAL CONJUGATE OF X(952) (0.0000, 0.2041) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_840 = ISOGONAL CONJUGATE OF X(528) (0.0800, 0.3919) X_2743 = SR(X(104), X(106)) (0.8571, -0.2624) A B C X2718 X3 X104 X519 X106 X517 X40 X953 X165 X840 X2743 (a, b, c) = (5, 6, 7) | AB = 1

X2743 (SR(X104, X106)) 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 = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.869200236579\)

X2743 lies on the circumcircle.

▸ Incident Central Lines8 lines

{3, 2718}, {40, 953}, {104, 519}, {106, 517}, {165, 840}, {513, 1293}, {1155, 1477}, {2291, 2348}

▸ Functional Relations3 relations