X1900

ZOSMA TRANSFORM OF X1125

< 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) { 4, 8 }: Fuhrmann Line { 25, 35 }: Central Line L(25, 35) { 19, 45 }: Central Line L(19, 45) { 225, 1876 }: Central Line L(225, 1876) { 407, 1785 }: Central Line L(407, 1785) { 429, 1861 }: Central Line L(429, 1861) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_19 = CLAWSON POINT (0.6246, 0.4244) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_1876 = ZOSMA TRANSFORM OF X(516) (0.6639, 0.6754) X_407 = CROSSPOINT OF X(4) AND X(225) (0.6211, 0.4189) X_1785 = MIMOSA TRANSFORM OF X(1295) (0.7297, 0.8635) X_429 = EULER X(58)-5th-SUBSTITUTION POINT (0.6024, 0.3700) X_1861 = ZOSMA TRANSFORM OF X(238) (0.8061, 0.8443) X_1900 = ZOSMA TRANSFORM OF X(1125) (0.6180, 0.4064) A B C X4 X8 X25 X35 X19 X45 X225 X1876 X407 X1785 X429 X1861 X1900 (a, b, c) = (5, 6, 7) | AB = 1

X1900 (ZOSMA TRANSFORM OF X1125) 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,\(x : y : z\) = X1125
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X1125
Search Value (6, 9, 13): \(-3.228211149104\)
▸ Incident Central Lines12 lines

{4, 8}, {10, 1904}, {19, 45}, {25, 35}, {225, 1876}, {407, 1785}, {429, 1861}, {1825, 1875}, {1830, 1888}, {1839, 1840}, {1848, 1883}, {1859, 1869}