X2719

SR(X100, X107)

X2719 = reflection of X107 in line X1X3
< 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) { 2744, 3 }: Central Line L(2744, 3) { 100, 520 }: Central Line L(100, 520) { 107, 513 }: Central Line L(107, 513) { 101, 822 }: Central Line L(101, 822) { 517, 1294 }: Central Line L(517, 1294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2744 = SR(X(104), X(107)) (0.4349, 0.0452) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_822 = CROSSDIFFERENCE OF X(1) AND X(29) (6.5481, -0.2984) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_2719 = SR(X(100), X(107)) (0.8843, 0.4378) A B C X2744 X3 X100 X520 X107 X513 X101 X822 X517 X1294 X2719 (a, b, c) = (5, 6, 7) | AB = 1

X2719 (SR(X100, 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 = X100, U = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.390984876465\)

X2719 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2744}, {100, 520}, {101, 822}, {107, 513}, {517, 1294}

▸ Functional Relations3 relations