X1872

ZOSMA TRANSFORM OF X499

< 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, 8 }: Fuhrmann Line { 3, 33 }: Central Line L(3, 33) { 34, 1482 }: Central Line L(34, 1482) { 19, 1598 }: Central Line L(19, 1598) { 65, 1785 }: Central Line L(65, 1785) { 5, 1861 }: Central Line L(5, 1861) 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_8 = NAGEL POINT (0.4694, 0.1333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1482 = REFLECTION OF CIRCUMCENTER IN INCENTER (0.6429, 0.3645) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1598 = POINT CHERTAN II (0.6217, 0.4204) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1785 = MIMOSA TRANSFORM OF X(1295) (0.7297, 0.8635) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_1861 = ZOSMA TRANSFORM OF X(238) (0.8061, 0.8443) X_1872 = ZOSMA TRANSFORM OF X(499) (0.6365, 0.4403) A B C X4 X8 X3 X33 X34 X1482 X19 X1598 X65 X1785 X5 X1861 X1872 (a, b, c) = (5, 6, 7) | AB = 1

X1872 (ZOSMA TRANSFORM OF X499) 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,\(x : y : z\) = X499
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X499
Search Value (6, 9, 13): \(9.962588361463\)
▸ Incident Central Lines14 lines

{1, 1887}, {3, 33}, {4, 8}, {5, 1861}, {19, 1598}, {34, 1482}, {40, 1859}, {65, 1785}, {225, 1830}, {389, 1864}, {1068, 1876}, {1595, 1848}, {1715, 1736}, {1825, 1905}