X1863

ZOSMA TRANSFORM OF X269

X1863 = X4-Ceva conjugate of X1851
< 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) { 33, 42 }: Central Line L(33, 42) { 242, 390 }: Central Line L(242, 390) { 25, 1604 }: Central Line L(25, 1604) { 497, 1851 }: Central Line L(497, 1851) 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_1851 = ZOSMA TRANSFORM OF X(200) (0.6375, 0.4422) X_7 = GERGONNE POINT (0.5903, 0.2769) 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_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_390 = REFLECTION OF GERGONNE POINT IN INCENTER (0.5526, 0.1897) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_1604 = TCC-PERSPECTOR OF X(9) (0.3886, -0.5005) X_497 = CROSSPOINT OF GERGONNE POINT AND NAGEL POINT (0.5593, 0.1851) X_1863 = ZOSMA TRANSFORM OF X(269) (0.6414, 0.4494) A B C X4 X1851 X7 X33 X42 X242 X390 X25 X1604 X497 X1863 (a, b, c) = (5, 6, 7) | AB = 1

X1863 (ZOSMA TRANSFORM OF X269) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((y + z) \sec A : :\), where \(x : y : z\) = X269
Barycentrics: \((a^{2} + b^{2} + c^{2} - 2 a b - 2 a c)/(b^{2} + c^{2} - a^{2}) : :\)
Search Value (6, 9, 13): \(3.199726242733\)
▸ Incident Central Lines5 lines

{4, 7}, {25, 1604}, {33, 42}, {242, 390}, {497, 1851}

▸ Functional Relations2 relations