X1888

ZOSMA TRANSFORM OF X950

< 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) { 19, 44 }: Central Line L(19, 44) { 4, 65 }: Central Line L(4, 65) { 34, 55 }: Central Line L(34, 55) { 28, 1155 }: Central Line L(28, 1155) { 33, 1426 }: Central Line L(33, 1426) { 71, 1841 }: Central Line L(71, 1841) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_4 = ORTHOCENTER (0.6122, 0.3958) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_1426 = -BETH CONJUGATE OF X(225) (0.6336, 0.5112) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1841 = ZOSMA TRANSFORM OF X(71) (0.6283, 0.4477) X_1888 = ZOSMA TRANSFORM OF X(950) (0.6136, 0.4122) A B C X19 X44 X4 X65 X34 X55 X28 X1155 X33 X1426 X71 X1841 X1888 (a, b, c) = (5, 6, 7) | AB = 1

X1888 (ZOSMA TRANSFORM OF X950) 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,\(x : y : z\) = X950
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X950
Search Value (6, 9, 13): \(-2.079573215536\)
▸ Incident Central Lines12 lines

{4, 65}, {19, 44}, {28, 1155}, {33, 1426}, {34, 55}, {71, 1841}, {209, 1829}, {225, 1902}, {516, 1852}, {517, 1838}, {1830, 1900}, {1842, 1878}