X1856

ZOSMA TRANSFORM OF X222

< 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, 57 }: Central Line L(4, 57) { 33, 42 }: Central Line L(33, 42) { 225, 235 }: Central Line L(225, 235) { 11, 1427 }: Central Line L(11, 1427) { 55, 1855 }: Central Line L(55, 1855) { 430, 1827 }: Central Line L(430, 1827) 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_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_235 = -CEVA CONJUGATE OF X(185) (0.6375, 0.4618) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1427 = -BETH CONJUGATE OF X(226) (0.6319, 0.3688) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1855 = ZOSMA TRANSFORM OF X(218) (0.5885, 0.3407) X_430 = EULER X(81)-5th-SUBSTITUTION POINT (0.6091, 0.3875) X_1827 = ZOSMA TRANSFORM OF X(7) (0.6082, 0.3740) X_1856 = ZOSMA TRANSFORM OF X(222) (0.6117, 0.4282) A B C X4 X57 X33 X42 X225 X235 X11 X1427 X55 X1855 X430 X1827 X1856 (a, b, c) = (5, 6, 7) | AB = 1

X1856 (ZOSMA TRANSFORM OF X222) 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,\(x : y : z\) = X222
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X222
Search Value (6, 9, 13): \(1.222557730998\)
▸ Incident Central Lines6 lines

{4, 57}, {11, 1427}, {33, 42}, {55, 1855}, {225, 235}, {430, 1827}