X1832

ZOSMA TRANSFORM OF X15

< 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, 1251 }: Central Line L(4, 1251) 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_1251 = ISOGONAL CONJUGATE OF X(1082) (0.5908, 0.2784) X_1832 = ZOSMA TRANSFORM OF X(15) (0.6158, 0.4153) A B C X12 X37 X4 X1251 X1832 (a, b, c) = (5, 6, 7) | AB = 1

X1832 (ZOSMA TRANSFORM OF X15) 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,\(x : y : z\) = X15
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X15
Search Value (6, 9, 13): \(-1.477678708183\)
▸ Incident Central Lines2 lines

{4, 1251}, {12, 37}