X2704

SR(X98, X105)

X2704 = reflection of X2711 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) { 2711, 3 }: Central Line L(2711, 3) { 98, 518 }: Central Line L(98, 518) { 105, 511 }: Central Line L(105, 511) { 512, 1292 }: Central Line L(512, 1292) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2711 = SR(X(99), X(105)) (0.1084, 0.4293) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_98 = TARRY POINT (0.8891, -0.2281) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_2704 = SR(X(98), X(105)) (0.8916, -0.2251) A B C X2711 X3 X98 X518 X105 X511 X512 X1292 X2704 (a, b, c) = (5, 6, 7) | AB = 1

X2704 (SR(X98, X105)) 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 = X98, U = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.534135032391\)

X2704 lies on the circumcircle.

▸ Incident Central Lines4 lines

{3, 2711}, {98, 518}, {105, 511}, {512, 1292}

▸ Functional Relations2 relations