X1887

ZOSMA TRANSFORM OF X946

< 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, 65 }: Central Line L(4, 65) { 33, 56 }: Central Line L(33, 56) { 318, 518 }: Central Line L(318, 518) { 55, 1753 }: Central Line L(55, 1753) { 34, 1824 }: Central Line L(34, 1824) { 1, 1872 }: Central Line L(1, 1872) 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_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1753 = MIMOSA TRANSFORM OF X(280) (0.7066, 0.6139) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1824 = ZOSMA TRANSFORM OF X(2) (0.6198, 0.4097) X_1 = INCENTER (0.5714, 0.2333) X_1872 = ZOSMA TRANSFORM OF X(499) (0.6365, 0.4403) X_1887 = ZOSMA TRANSFORM OF X(946) (0.6088, 0.3521) A B C X4 X65 X33 X56 X318 X518 X55 X1753 X34 X1824 X1 X1872 X1887 (a, b, c) = (5, 6, 7) | AB = 1

X1887 (ZOSMA TRANSFORM OF X946) 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,\(x : y : z\) = X946
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X946
Search Value (6, 9, 13): \(1.027216514607\)
▸ Incident Central Lines14 lines

{1, 1872}, {4, 65}, {12, 1861}, {33, 56}, {34, 1824}, {55, 1753}, {208, 1827}, {225, 1876}, {318, 518}, {942, 1785}, {1825, 1829}, {1830, 1902}, {1844, 1846}, {1866, 1878}