X1841

ZOSMA TRANSFORM OF X71

X1841 = crosspoint of X28 and X278
< 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) { 6, 19 }: Central Line L(6, 19) { 4, 37 }: Central Line L(4, 37) { 53, 225 }: Central Line L(53, 225) { 241, 273 }: Central Line L(241, 273) { 278, 393 }: Central Line L(278, 393) { 281, 475 }: Central Line L(281, 475) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1838 = ZOSMA TRANSFORM OF X(35) (0.6188, 0.4218) X_1859 = ZOSMA TRANSFORM OF X(226) (0.6113, 0.3833) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_4 = ORTHOCENTER (0.6122, 0.3958) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_53 = SYMMEDIAN POINT OF ORTHIC TRIANGLE (0.6164, 0.4390) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_273 = ISOGONAL CONJUGATE OF X(212) (0.6191, 0.4329) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_475 = EULER LINE INTERCEPT OF LINE X(10)X(34) (-3.6531, -10.7644) X_1841 = ZOSMA TRANSFORM OF X(71) (0.6283, 0.4477) A B C X1838 X1859 X6 X19 X4 X37 X53 X225 X241 X273 X278 X393 X281 X475 X1841 (a, b, c) = (5, 6, 7) | AB = 1

X1841 (ZOSMA TRANSFORM OF X71) 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,\(x : y : z\) = X71
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X71
Search Value (6, 9, 13): \(-0.541405074264\)
▸ Incident Central Lines17 lines

{4, 37}, {6, 19}, {28, 1104}, {53, 225}, {71, 1888}, {216, 1465}, {241, 273}, {278, 393}, {281, 475}, {427, 1826}, {442, 1838}, {581, 1871}, {594, 1861}, {1100, 1172}, {1119, 1418}, {1400, 1875}, {1839, 1852}

▸ Functional Relations3 relations