X1873

ZOSMA TRANSFORM OF X500

< 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, 79 }: Central Line L(4, 79) { 403, 1838 }: Central Line L(403, 1838) 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_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_403 = OF THE ORTHIC TRIANGLE (0.7040, 0.6358) X_1838 = ZOSMA TRANSFORM OF X(35) (0.6188, 0.4218) X_1873 = ZOSMA TRANSFORM OF X(500) (0.6147, 0.4115) A B C X12 X37 X4 X79 X403 X1838 X1873 (a, b, c) = (5, 6, 7) | AB = 1

X1873 (ZOSMA TRANSFORM OF X500) 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,\(x : y : z\) = X500
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X500
Search Value (6, 9, 13): \(-1.490840100788\)
▸ Incident Central Lines3 lines

{4, 79}, {12, 37}, {403, 1838}