X1893

ZOSMA TRANSFORM OF X991

X1893 = X4-beth conjugate of X1880
< 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, 7 }: Central Line L(4, 7) { 12, 37 }: Central Line L(12, 37) { 226, 430 }: Central Line L(226, 430) { 11, 1427 }: Central Line L(11, 1427) { 57, 1889 }: Central Line L(57, 1889) { 235, 1838 }: Central Line L(235, 1838) 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_1880 = ZOSMA TRANSFORM OF X(573) (0.6390, 0.4068) X_7 = GERGONNE POINT (0.5903, 0.2769) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_430 = EULER X(81)-5th-SUBSTITUTION POINT (0.6091, 0.3875) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1427 = -BETH CONJUGATE OF X(226) (0.6319, 0.3688) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1889 = ZOSMA TRANSFORM OF X(968) (0.6157, 0.4048) X_235 = -CEVA CONJUGATE OF X(185) (0.6375, 0.4618) X_1838 = ZOSMA TRANSFORM OF X(35) (0.6188, 0.4218) X_1893 = ZOSMA TRANSFORM OF X(991) (0.6159, 0.4157) A B C X4 X1880 X7 X12 X37 X226 X430 X11 X1427 X57 X1889 X235 X1838 X1893 (a, b, c) = (5, 6, 7) | AB = 1

X1893 (ZOSMA TRANSFORM OF X991) 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,\(x : y : z\) = X991
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X991
Search Value (6, 9, 13): \(-1.244702359167\)
▸ Incident Central Lines6 lines

{4, 7}, {11, 1427}, {12, 37}, {57, 1889}, {226, 430}, {235, 1838}

▸ Functional Relations1 relation