X1391

ISOGONAL CONJUGATE OF X1387

X1391 is the isogonal conjugate of X1387.
< 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) { 517, 1443 }: Central Line L(517, 1443) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_202 = -CEVA CONJUGATE OF X(15) (0.5962, 0.2697) X_203 = -CEVA CONJUGATE OF X(16) (0.4136, 0.3918) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1443 = -BETH CONJUGATE OF X(320) (0.9441, 1.0954) X_1391 = ISOGONAL CONJUGATE OF X(1387) (0.5217, 0.3195) A B C X202 X203 X517 X1443 X1391 (a, b, c) = (5, 6, 7) | AB = 1

X1391 (ISOGONAL CONJUGATE OF X1387) 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 \(f(a,b,c) = a/[2a^{4} - 2(b + c)a^{3} + (8bc - 3b^{2} - 3c^{2})a^{2} + 2(b + c)(b - c)^{2}a + (b^{2} - c^{2})^{2}]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.041985558851\)
▸ Incident Central Lines1 line

{517, 1443}

▸ Functional Relations2 relations