X1849

ZOSMA TRANSFORM OF X175

< 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) { 4, 7 }: Central Line L(4, 7) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_7 = GERGONNE POINT (0.5903, 0.2769) X_1849 = ZOSMA TRANSFORM OF X(175) (0.6306, 0.4953) A B C X4 X7 X1849 (a, b, c) = (5, 6, 7) | AB = 1

X1849 (ZOSMA TRANSFORM OF X175) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X175
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X175
Search Value (6, 9, 13): \(0.554538540686\)
▸ Incident Central Lines1 line

{4, 7}