X2753

SR(X105, X111)

X2753 = isogonal conjugate of X2837
< 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) { 105, 524 }: Central Line L(105, 524) { 111, 518 }: Central Line L(111, 518) { 352, 739 }: Central Line L(352, 739) { 1292, 1499 }: Central Line L(1292, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2837 = ISOGONAL CONJUGATE OF X(2753) (0.3399, -0.3527) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_352 = INVERSE-IN-CIRCUMCIRCLE OF X(353) (2.2545, 2.0453) X_739 = EVEN (- 1, 0) CIRCUMCIRCLE POINT (1.0101, 0.0884) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2753 = SR(X(105), X(111)) (0.7288, -0.3541) A B C X2837 X105 X524 X111 X518 X352 X739 X1292 X1499 X2753 (a, b, c) = (5, 6, 7) | AB = 1

X2753 (SR(X105, 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 = X105, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.897580717486\)

X2753 lies on the circumcircle.

▸ Incident Central Lines4 lines

{105, 524}, {111, 518}, {352, 739}, {1292, 1499}

▸ Functional Relations1 relation