X3479

ISOGONAL CONJUGATE OF X1337

X3479 is the tangential of X1276 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, 298 }: Central Line L(3, 298) { 30, 1337 }: Central Line L(30, 1337) { 3480, 3484 }: Central Line L(3480, 3484) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1337 = 1st WERNAU POINT (2.6910, 4.6498) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_298 = ISOTOMIC CONJUGATE OF 1st ISOGONIC CENTER (0.4724, 0.1301) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_3480 = ISOGONAL CONJUGATE OF X(1338) (1.4651, 1.1054) X_3484 = INTERSECTION OF LINES X(3)X(2120) and X(4)X(54) (0.4090, -1.1012) X_3479 = ISOGONAL CONJUGATE OF X(1337) (0.8262, -0.2295) A B C X1337 X3 X298 X30 X3480 X3484 X3479 (a, b, c) = (5, 6, 7) | AB = 1

X3479 (ISOGONAL CONJUGATE OF X1337) 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 \(f(a,b,c) = 1/x(1337)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.946368313607\)

X3479 lies on the Neuberg cubic.

▸ Incident Central Lines3 lines

{3, 298}, {30, 1337}, {3480, 3484}

▸ Functional Relations3 relations