X2884

COMPLEMENTARY CONJUGATE OF X7

< 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) { 142, 1538 }: Central Line L(142, 1538) { 857, 948 }: Central Line L(857, 948) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_1538 = ORTHOJOIN OF X(45) (1.0204, 1.6122) X_857 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(75) (-0.3133, -2.0259) X_948 = INTERSECTION OF LINES X(1)X(4) AND X(6)X(7) (0.5840, 0.2831) X_2884 = COMPLEMENTARY CONJUGATE OF X(7) (0.4949, 0.0541) A B C X142 X1538 X857 X948 X2884 (a, b, c) = (5, 6, 7) | AB = 1

X2884 (COMPLEMENTARY CONJUGATE OF X7) 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 described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.965438969222\)
▸ Incident Central Lines2 lines

{142, 1538}, {857, 948}

▸ Functional Relations1 relation
  • X2884 = complementary conjugate of X7