X3480

ISOGONAL CONJUGATE OF X1338

X3480 is the tangential of X1277 on the Neuberg cubic.
< 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) { 30, 1338 }: Central Line L(30, 1338) { 3479, 3484 }: Central Line L(3479, 3484) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1338 = 2nd WERNAU POINT (1.0969, 0.1421) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_299 = ISOTOMIC CONJUGATE OF 2nd ISOGONIC CENTER (-1.1465, -1.6097) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_3479 = ISOGONAL CONJUGATE OF X(1337) (0.8262, -0.2295) X_3484 = INTERSECTION OF LINES X(3)X(2120) and X(4)X(54) (0.4090, -1.1012) X_3480 = ISOGONAL CONJUGATE OF X(1338) (1.4651, 1.1054) A B C X1338 X3 X299 X30 X3479 X3484 X3480 (a, b, c) = (5, 6, 7) | AB = 1

X3480 (ISOGONAL CONJUGATE OF X1338) 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 \(f(a,b,c) = 1/x(1338)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.860862976916\)

X3480 lies on the Neuberg cubic.

▸ Incident Central Lines3 lines

{3, 299}, {30, 1338}, {3479, 3484}

▸ Functional Relations2 relations