X2696

SR(X74, X111)

X2696 = Λ(X74, X111)
< 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) { 2770, 3 }: Central Line L(2770, 3) { 30, 111 }: Central Line L(30, 111) { 74, 524 }: Central Line L(74, 524) { 376, 842 }: Central Line L(376, 842) { 110, 1499 }: Central Line L(110, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2770 = SR(X(110), X(111)) (0.0375, 0.3178) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_111 = PARRY POINT (0.9885, -0.0457) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_842 = ISOGONAL CONJUGATE OF X(542) (-0.0101, 0.1156) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2696 = SR(X(74), X(111)) (0.9625, -0.1136) A B C X2770 X3 X30 X111 X74 X524 X376 X842 X110 X1499 X2696 (a, b, c) = (5, 6, 7) | AB = 1

X2696 (SR(X74, X111)) 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 = X74, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.212288987009\)

X2696 lies on the circumcircle.

▸ Incident Central Lines9 lines

{3, 2770}, {30, 111}, {74, 524}, {110, 1499}, {186, 2374}, {376, 842}, {523, 1296}, {691, 2407}, {2071, 2373}

▸ Functional Relations5 relations