X3438

X13-VERTEX CONJUGATE OF X13

X3438 = isogonal conjugate of X621
< 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) { 3, 299 }: Central Line L(3, 299) { 13, 1605 }: Central Line L(13, 1605) { 2174, 2200 }: Central Line L(2174, 2200) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_3439 = -VERTEX CONJUGATE OF X(14) (0.8926, -0.2971) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_299 = ISOTOMIC CONJUGATE OF 2nd ISOGONIC CENTER (-1.1465, -1.6097) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_1605 = TCC-PERSPECTOR OF X(13) (0.5477, 0.3253) X_2174 = -ISOCONJUGATE OF X(79) (0.5728, 0.2013) X_2200 = -ISOCONJUGATE OF X(286) (0.5626, 0.1362) X_3438 = -VERTEX CONJUGATE OF X(13) (0.6297, 0.2369) A B C X186 X3439 X3 X299 X13 X1605 X2174 X2200 X3438 (a, b, c) = (5, 6, 7) | AB = 1

X3438 (X13-VERTEX CONJUGATE OF X13) 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 \(f(a,b,c) = a/[a^{2}vwyz - ux(bw + cv)(bz + cy)]\), where \(u : v : w\) = X13 and \(x : y : z\) = X13
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-11.710139106194\)
▸ Incident Central Lines3 lines

{3, 299}, {13, 1605}, {2174, 2200}

▸ Functional Relations3 relations