X1895

ZOSMA TRANSFORM OF X1044

X1895 = X75-Ceva conjugate of X92
< 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, 7 }: Central Line L(4, 7) { 1, 29 }: Central Line L(1, 29) { 2, 280 }: Central Line L(2, 280) { 56, 243 }: Central Line L(56, 243) { 162, 255 }: Central Line L(162, 255) { 57, 412 }: Central Line L(57, 412) 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_7 = GERGONNE POINT (0.5903, 0.2769) X_1 = INCENTER (0.5714, 0.2333) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_2 = CENTROID (0.5374, 0.2000) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_412 = EULER X(29)-2nd-SUBSTITUTION POINT (0.6482, 0.4899) X_1895 = ZOSMA TRANSFORM OF X(1044) (0.1903, -1.8865) A B C X4 X7 X1 X29 X2 X280 X56 X243 X162 X255 X57 X412 X1895 (a, b, c) = (5, 6, 7) | AB = 1

X1895 (ZOSMA TRANSFORM OF X1044) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((y + z) \sec A : :\), where \(x : y : z\) = X1044
Search Value (6, 9, 13): \(1.217893710636\)
▸ Alternate Coordinates2 forms

  • Trilinears: \((\cos A - \cos B \cos C) \sec A : :\)

  • Trilinears: \((\sec A - \sec B \sec C) \sec A : :\)

▸ Incident Central Lines21 lines

{1, 29}, {2, 280}, {4, 7}, {8, 1054}, {40, 653}, {48, 821}, {56, 243}, {57, 412}, {63, 1712}, {78, 1897}, {108, 411}, {162, 255}, {196, 962}, {204, 1097}, {240, 774}, {304, 811}, {388, 1857}, {497, 1118}, {517, 1148}, {1210, 1785}, {1445, 1753}

▸ Functional Relations8 relations