X2711

SR(X99, X105)

X2711 = reflection of X2704 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) { 2704, 3 }: Central Line L(2704, 3) { 99, 518 }: Central Line L(99, 518) { 105, 512 }: Central Line L(105, 512) { 35, 813 }: Central Line L(35, 813) { 65, 927 }: Central Line L(65, 927) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2704 = SR(X(98), X(105)) (0.8916, -0.2251) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_99 = STEINER POINT (0.1109, 0.4322) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_2711 = SR(X(99), X(105)) (0.1084, 0.4293) A B C X2704 X3 X99 X518 X105 X512 X35 X813 X65 X927 X2711 (a, b, c) = (5, 6, 7) | AB = 1

X2711 (SR(X99, 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 = X99, U = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.030590756001\)

X2711 lies on the circumcircle.

▸ Incident Central Lines8 lines

{3, 2704}, {35, 813}, {65, 927}, {99, 518}, {105, 512}, {110, 2223}, {213, 919}, {511, 1292}

▸ Functional Relations3 relations