X1860

ZOSMA TRANSFORM OF X228

< 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, 42 }: Central Line L(4, 42) { 27, 58 }: Central Line L(27, 58) { 25, 225 }: Central Line L(25, 225) { 92, 984 }: Central Line L(92, 984) { 278, 1458 }: Central Line L(278, 1458) { 6, 1836 }: Central Line L(6, 1836) 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_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_984 = MIDPOINT OF X(8) AND X(192) (0.5421, 0.1984) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_1458 = -BETH CONJUGATE OF X(518) (0.8889, 0.9677) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1836 = ZOSMA TRANSFORM OF X(33) (0.6066, 0.3254) X_1860 = ZOSMA TRANSFORM OF X(228) (0.6200, 0.4425) A B C X4 X42 X27 X58 X25 X225 X92 X984 X278 X1458 X6 X1836 X1860 (a, b, c) = (5, 6, 7) | AB = 1

X1860 (ZOSMA TRANSFORM OF X228) 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,\(x : y : z\) = X228
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X228
Search Value (6, 9, 13): \(-0.342587565472\)
▸ Incident Central Lines6 lines

{4, 42}, {6, 1836}, {25, 225}, {27, 58}, {92, 984}, {278, 1458}