X1866

ZOSMA TRANSFORM OF X355

< 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) { 28, 34 }: Central Line L(28, 34) { 4, 80 }: Central Line L(4, 80) { 51, 65 }: Central Line L(51, 65) { 19, 1405 }: Central Line L(19, 1405) { 225, 1829 }: Central Line L(225, 1829) { 52, 1905 }: Central Line L(52, 1905) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_4 = ORTHOCENTER (0.6122, 0.3958) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1405 = -BETH CONJUGATE OF X(45) (0.6170, 0.3084) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_1829 = ZOSMA TRANSFORM OF X(10) (0.6233, 0.4161) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_1905 = ZOSMA TRANSFORM OF X(1478) (0.6102, 0.3698) X_1866 = ZOSMA TRANSFORM OF X(355) (0.6217, 0.3794) A B C X28 X34 X4 X80 X51 X65 X19 X1405 X225 X1829 X52 X1905 X1866 (a, b, c) = (5, 6, 7) | AB = 1

X1866 (ZOSMA TRANSFORM OF X355) 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,\(x : y : z\) = X355
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X355
Search Value (6, 9, 13): \(1.063517793979\)
▸ Incident Central Lines7 lines

{4, 80}, {19, 1405}, {28, 34}, {51, 65}, {52, 1905}, {225, 1829}, {1878, 1887}