X1907

ZOSMA TRANSFORM OF X1497

X1907 = complement of X33524
< 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_1907 = ZOSMA TRANSFORM OF X(1497) (0.6070, 0.3820) A B C X2 X3 X4 X1907 (a, b, c) = (5, 6, 7) | AB = 1

X1907 (ZOSMA TRANSFORM OF X1497) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((y + z) \sec A : :\), where \(x : y : z\) = X1497
Barycentrics: \((\tan A) (2 + \sin^{2} B + \sin^{2} C) : :\)
Search Value (6, 9, 13): \(-11.127578232544\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\sec A) (2 + \sin^{2} B + \sin^{2} C) : :\)

▸ Incident Central Lines1 line

{2, 3}

▸ Functional Relations1 relation

  • X1907 = complement of X33524

Notes

As a point on the Euler line, X1907 has Shinagawa coefficients \((F, 2E + F)\).