X2760

SR(X106, X112)

X2760 = isogonal conjugate of X2844
< 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) { 106, 525 }: Central Line L(106, 525) { 112, 519 }: Central Line L(112, 519) { 306, 901 }: Central Line L(306, 901) { 691, 1043 }: Central Line L(691, 1043) { 1293, 1503 }: Central Line L(1293, 1503) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2844 = ISOGONAL CONJUGATE OF X(2760) (0.9013, -0.2605) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_1043 = CEVAPOINT OF X(1) AND X(20) (0.4149, 0.0930) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1503 = POINT ARKAB (0.4818, -0.3843) X_2760 = SR(X(106), X(112)) (-0.0103, 0.0962) A B C X2844 X106 X525 X112 X519 X306 X901 X691 X1043 X1293 X1503 X2760 (a, b, c) = (5, 6, 7) | AB = 1

X2760 (SR(X106, X112)) 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 = X106, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.277479189668\)

X2760 lies on the circumcircle.

▸ Incident Central Lines5 lines

{106, 525}, {112, 519}, {306, 901}, {691, 1043}, {1293, 1503}

▸ Functional Relations1 relation