X1665

INVERSE-IN-BROCARD-CIRCLE OF X1663

X1665 = reflection of X1664 in X182
< 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) { 1664, 182 }: Brocard Axis { 3, 6 }: Brocard Axis A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1664 = INVERSE-IN-BROCARD-CIRCLE OF X(1662) (0.5333, 0.1571) X_182 = MIDPOINT OF BROCARD DIAMETER (0.5500, 0.1846) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1665 = INVERSE-IN-BROCARD-CIRCLE OF X(1663) (0.5667, 0.2122) A B C X1664 X182 X3 X6 X1665 (a, b, c) = (5, 6, 7) | AB = 1

X1665 (INVERSE-IN-BROCARD-CIRCLE OF X1663) 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 \(f(A,B,C) = e \cos(A + \omega ) - \cos(A - \omega )\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(1.635889607029\)
▸ Incident Central Lines1 line

{3, 6}

▸ Functional Relations2 relations