X1902

ZOSMA TRANSFORM OF X1210

X1902 = reflection of X1829 in X4
< 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) { 1829, 4 }: Fuhrmann Line { 4, 8 }: Fuhrmann Line { 25, 40 }: Central Line L(25, 40) { 33, 64 }: Central Line L(33, 64) { 19, 220 }: Central Line L(19, 220) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1829 = ZOSMA TRANSFORM OF X(10) (0.6233, 0.4161) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_40 = BEVAN POINT (0.4286, -0.0292) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_19 = CLAWSON POINT (0.6246, 0.4244) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_1902 = ZOSMA TRANSFORM OF X(1210) (0.6012, 0.3754) A B C X1829 X4 X8 X25 X40 X33 X64 X19 X220 X1902 (a, b, c) = (5, 6, 7) | AB = 1

X1902 (ZOSMA TRANSFORM OF X1210) 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,\(x : y : z\) = X1210
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X1210
Search Value (6, 9, 13): \(-9.241111210901\)
▸ Incident Central Lines16 lines

{1, 1037}, {4, 8}, {10, 235}, {19, 220}, {25, 40}, {33, 64}, {125, 429}, {225, 1888}, {378, 1385}, {392, 475}, {427, 946}, {515, 1885}, {960, 1861}, {1482, 1597}, {1825, 1859}, {1830, 1887}

▸ Functional Relations1 relation