X3443

X18-VERTEX CONJUGATE OF X18

X3443 = isogonal conjugate of X634
< 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) { 61, 184 }: Central Line L(61, 184) { 3, 302 }: Central Line L(3, 302) { 18, 1608 }: Central Line L(18, 1608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_634 = ANTICOMPLEMENT OF X(62) (0.3230, -0.0820) X_61 = ISOGONAL CONJUGATE OF X(17) (0.5764, 0.2283) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_302 = ISOTOMIC CONJUGATE OF 1st NAPOLEON POINT (0.5043, 0.1643) X_18 = 2nd NAPOLEON POINT (0.4434, 0.1317) X_1608 = TCC-PERSPECTOR OF X(18) (0.3143, -0.7663) X_3443 = -VERTEX CONJUGATE OF X(18) (0.5556, 0.9121) A B C X634 X61 X184 X3 X302 X18 X1608 X3443 (a, b, c) = (5, 6, 7) | AB = 1

X3443 (X18-VERTEX CONJUGATE OF X18) 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 \(u : v : w\) = X18 and \(x : y : z\) = X18
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-4.959959256104\)
▸ Incident Central Lines3 lines

{3, 302}, {18, 1608}, {61, 184}

▸ Functional Relations1 relation