X2622

MIDPOINT OF PU(72)

X2622 is the midpoint of pu(72).
< 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) { 2290, 2618 }: Central Line L(2290, 2618) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2290 = -ISOCONJUGATE OF X(1141) (1.8189, 2.2759) X_2618 = DIFFERENCE OF PU(72) (-4.5086, 2.1795) X_2622 = MIDPOINT OF PU(72) (2.3533, 2.2840) A B C X2290 X2618 X2622 (a, b, c) = (5, 6, 7) | AB = 1

X2622 (MIDPOINT OF PU(72)) 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 \(f(A,B,C) = k(a,b,c) \tan(C - A) + h(a,b,c) \tan(B - A)\), where \(h(a,b,c) = a \tan(C - A) + b \tan(A - B) + c \tan(B - C)\), and \(k(a,b,c) = a \tan(B - A) + b \tan(C - B) + c \tan(A - C)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(1.765575334092\)
▸ Incident Central Lines1 line

{2290, 2618}