X762

TRILINEAR CUBE OF X37

X762 = crosssum of X593 and X757
< 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) { 210, 213 }: Central Line L(210, 213) { 594, 1089 }: Central Line L(594, 1089) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_763 = ISOGONAL CONJUGATE OF X(762) (0.6080, 0.2866) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_762 = TRILINEAR CUBE OF X(37) (0.5240, 0.1822) A B C X763 X210 X213 X594 X1089 X762 (a, b, c) = (5, 6, 7) | AB = 1

X762 (TRILINEAR CUBE OF X37) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b + c)^{3} : (c + a)^{3} : (a + b)^{3}\)
Barycentrics: \(a(b + c)^{3} : b(c + a)^{3} : c(a + b)^{3}\)
Search Value (6, 9, 13): \(2.973293097358\)
▸ Incident Central Lines2 lines

{210, 213}, {594, 1089}

▸ Functional Relations2 relations