X1881

ZOSMA TRANSFORM OF X577

< 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) { 12, 37 }: Central Line L(12, 37) { 4, 48 }: Central Line L(4, 48) { 71, 860 }: Central Line L(71, 860) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_4 = ORTHOCENTER (0.6122, 0.3958) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_860 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(92) (0.7856, 0.8494) X_1881 = ZOSMA TRANSFORM OF X(577) (0.6293, 0.4608) A B C X12 X37 X4 X48 X71 X860 X1881 (a, b, c) = (5, 6, 7) | AB = 1

X1881 (ZOSMA TRANSFORM OF X577) 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,\(x : y : z\) = X577
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X577
Search Value (6, 9, 13): \(-3.193182959556\)
▸ Incident Central Lines3 lines

{4, 48}, {12, 37}, {71, 860}