X3439

X14-VERTEX CONJUGATE OF X14

X3439 = isogonal conjugate of X622
< 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) circumcircle: Circumcircle of △ABC { 3, 3479 }: Central Line L(3, 3479) { 15, 184 }: Central Line L(15, 184) { 3, 298 }: Central Line L(3, 298) { 14, 1606 }: Central Line L(14, 1606) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_3479 = ISOGONAL CONJUGATE OF X(1337) (0.8262, -0.2295) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_298 = ISOTOMIC CONJUGATE OF 1st ISOGONIC CENTER (0.4724, 0.1301) X_14 = 2nd ISOGONIC CENTER (0.9134, -0.1143) X_1606 = TCC-PERSPECTOR OF X(14) (0.8673, -0.5199) X_3439 = -VERTEX CONJUGATE OF X(14) (0.8926, -0.2971) A B C X3 X3479 X15 X184 X298 X14 X1606 X3439 (a, b, c) = (5, 6, 7) | AB = 1

X3439 (X14-VERTEX CONJUGATE OF X14) 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 \(u : v : w\) = X14 and \(x : y : z\) = X14
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(20.715883898613\)
▸ Incident Central Lines3 lines

{3, 298}, {14, 1606}, {15, 184}

▸ Functional Relations4 relations