X1789

INVERSE MIMOSA TRANSFORM OF X5

X1789 = isogonal conjugate of X1825
< 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) { 21, 36 }: Central Line L(21, 36) { 3, 125 }: Central Line L(3, 125) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1825 = ZOSMA TRANSFORM OF X(5) (0.6169, 0.3877) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_1789 = INVERSE MIMOSA TRANSFORM OF X(5) (0.4896, 0.1064) A B C X1825 X21 X36 X3 X125 X1789 (a, b, c) = (5, 6, 7) | AB = 1

X1789 (INVERSE MIMOSA TRANSFORM OF X5) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X5
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.565715574119\)
▸ Incident Central Lines2 lines

{3, 125}, {21, 36}

▸ Functional Relations3 relations