X1852

ZOSMA TRANSFORM OF X201

< 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, 12 }: Central Line L(4, 12) { 11, 28 }: Central Line L(11, 28) { 19, 1837 }: Central Line L(19, 1837) { 30, 1838 }: Central Line L(30, 1838) { 34, 1836 }: Central Line L(34, 1836) { 1839, 1841 }: Central Line L(1839, 1841) 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_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1837 = ZOSMA TRANSFORM OF X(34) (0.5972, 0.2070) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_1838 = ZOSMA TRANSFORM OF X(35) (0.6188, 0.4218) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1836 = ZOSMA TRANSFORM OF X(33) (0.6066, 0.3254) X_1839 = ZOSMA TRANSFORM OF X(37) (0.6155, 0.4034) X_1841 = ZOSMA TRANSFORM OF X(71) (0.6283, 0.4477) X_1852 = ZOSMA TRANSFORM OF X(201) (0.6270, 0.4433) A B C X4 X12 X11 X28 X19 X1837 X30 X1838 X34 X1836 X1839 X1841 X1852 (a, b, c) = (5, 6, 7) | AB = 1

X1852 (ZOSMA TRANSFORM OF X201) 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,\(x : y : z\) = X201
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X201
Search Value (6, 9, 13): \(0.238865901432\)
▸ Incident Central Lines9 lines

{4, 12}, {11, 28}, {19, 1837}, {30, 1838}, {34, 1836}, {516, 1888}, {950, 1859}, {1829, 1858}, {1839, 1841}