X449

X2-HIRST INVERSE OF X452

X449 is the X2-hirst inverse of X452.
< 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) { 2, 3 }: Euler Line A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_4 = ORTHOCENTER (0.6122, 0.3958) X_449 = -HIRST INVERSE OF X(452) (-1.6279, -5.4656) A B C X2 X3 X4 X449 (a, b, c) = (5, 6, 7) | AB = 1

X449 (X2-HIRST INVERSE OF X452) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc(u^{2} - vw) : ca(v^{2} - wu) : ab(w^{2} - uv)\), where \(u : v : w\) = X380
Barycentrics: \(u^{2} - vw : v^{2} - wu : w^{2} - uv\)
Search Value (6, 9, 13): \(9.835757315409\)
▸ Incident Central Lines1 line

{2, 3}

▸ Functional Relations1 relation

Notes

As a point on the Euler line, X449 has Shinagawa coefficients \((2(E + F)F - abc \$a\$ - S^{2},3abc \$a\$ + S^{2})\).