X1886

ZOSMA TRANSFORM OF X910

X1886 = X917-Ceva conjugate of X25
< 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) { 33, 42 }: Central Line L(33, 42) { 19, 57 }: Central Line L(19, 57) { 230, 231 }: Central Line L(230, 231) { 225, 607 }: Central Line L(225, 607) { 6, 1836 }: Central Line L(6, 1836) { 1, 1855 }: Central Line L(1, 1855) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_917 = -CROSS CONJUGATE OF X(4) (0.9795, 0.2766) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) 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_19 = CLAWSON POINT (0.6246, 0.4244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_231 = -CEVA CONJUGATE OF X(128) (1.0375, 0.6458) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1836 = ZOSMA TRANSFORM OF X(33) (0.6066, 0.3254) X_1 = INCENTER (0.5714, 0.2333) X_1855 = ZOSMA TRANSFORM OF X(218) (0.5885, 0.3407) X_1886 = ZOSMA TRANSFORM OF X(910) (0.6597, 0.7902) A B C X917 X25 X33 X42 X19 X57 X230 X231 X225 X607 X6 X1836 X1 X1855 X1886 (a, b, c) = (5, 6, 7) | AB = 1

X1886 (ZOSMA TRANSFORM OF X910) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\tan A)(a^{2} - b^{2} \cos C - c^{2} \cos B) : :\)
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X910
Search Value (6, 9, 13): \(0.587885851334\)
▸ Alternate Coordinates1 form

  • Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X910

▸ Incident Central Lines8 lines

{1, 1855}, {6, 1836}, {19, 57}, {33, 42}, {225, 607}, {230, 231}, {910, 1360}, {1783, 1785}

▸ Functional Relations3 relations