X3442

X17-VERTEX CONJUGATE OF X17

X3442 = isogonal conjugate of X633
< 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) { 62, 184 }: Central Line L(62, 184) { 3, 303 }: Central Line L(3, 303) { 17, 1607 }: Central Line L(17, 1607) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_633 = ANTICOMPLEMENT OF X(61) (0.4594, 0.1433) X_62 = ISOGONAL CONJUGATE OF X(18) (0.6446, 0.3409) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_303 = ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT (0.6079, 0.2757) X_17 = 1st NAPOLEON POINT (0.5666, 0.2383) X_1607 = TCC-PERSPECTOR OF X(17) (0.4809, 0.1344) X_3442 = -VERTEX CONJUGATE OF X(17) (0.6399, 0.3273) A B C X633 X62 X184 X3 X303 X17 X1607 X3442 (a, b, c) = (5, 6, 7) | AB = 1

X3442 (X17-VERTEX CONJUGATE OF X17) 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 \(u : v : w\) = X17 and \(x : y : z\) = X17
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.510007652115\)
▸ Incident Central Lines3 lines

{3, 303}, {17, 1607}, {62, 184}

▸ Functional Relations1 relation