X3456

X17-VERTEX CONJUGATE OF X18

X3456 = crosssum of X69 and X1369
< 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) { 23, 1799 }: Central Line L(23, 1799) { 3, 2916 }: Central Line L(3, 2916) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_1799 = INVERSE MIMOSA TRANSFORM OF X(75) (0.4477, 0.0833) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_2916 = TANGENTIAL-ISOGONAL CONJUGATE OF X(2) (0.4656, -0.0146) X_3456 = -VERTEX CONJUGATE OF X(18) (0.6239, 0.5222) A B C X23 X1799 X3 X2916 X3456 (a, b, c) = (5, 6, 7) | AB = 1

X3456 (X17-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 \(u : v : w\) = X17 and \(x : y : z\) = X18
Barycentrics: \(a^{2}/(a^{4} - b^{4} - c^{4} - b^{2} c^{2}) : :\)
Search Value (6, 9, 13): \(-0.998381760197\)
▸ Incident Central Lines2 lines

{3, 2916}, {23, 1799}

▸ Functional Relations2 relations