X3441

X16-VERTEX CONJUGATE OF X16

X3441 = isogonal conjugate of X617
< 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) { 30, 299 }: Central Line L(30, 299) { 16, 1495 }: Central Line L(16, 1495) { 399, 1337 }: Central Line L(399, 1337) { 2132, 3440 }: Central Line L(2132, 3440) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_3440 = -VERTEX CONJUGATE OF X(15) (0.6192, 0.5141) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_299 = ISOTOMIC CONJUGATE OF 2nd ISOGONIC CENTER (-1.1465, -1.6097) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_1495 = CROSSSUM OF X(2) AND X(30) (0.8194, 1.4855) X_399 = PARRY REFLECTION POINT (0.0032, 0.9936) X_1337 = 1st WERNAU POINT (2.6910, 4.6498) X_2132 = EIGENTRANSFORM OF X(30) (1.2703, 0.4856) X_3441 = -VERTEX CONJUGATE OF X(16) (-0.3191, 0.5552) A B C X74 X3440 X30 X299 X16 X1495 X399 X1337 X2132 X3441 (a, b, c) = (5, 6, 7) | AB = 1

X3441 (X16-VERTEX CONJUGATE OF X16) 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 \(u : v : w\) = X16 and \(x : y : z\) = X16
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.166748465191\)

X3441 lies on the Neuberg cubic.

▸ Incident Central Lines4 lines

{16, 1495}, {30, 299}, {399, 1337}, {2132, 3440}

▸ Functional Relations2 relations