X2992

CD(X13)

X2992 = isogonal conjugate of X3129
< 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) { 3, 299 }: Central Line L(3, 299) { 6, 471 }: Central Line L(6, 471) { 265, 300 }: Central Line L(265, 300) { 68, 633 }: Central Line L(68, 633) { 1899, 2993 }: Central Line L(1899, 2993) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3129 = -CEVA CONJUGATE OF X(6) (0.5743, 0.2966) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_299 = ISOTOMIC CONJUGATE OF 2nd ISOGONIC CENTER (-1.1465, -1.6097) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_471 = -CROSS CONJUGATE OF X(299) (0.7866, 0.8520) X_265 = REFLECTION OF X(3) IN X(125) (0.8606, -0.0500) X_300 = ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER (0.5239, 0.2121) X_68 = PRASOLOV POINT (-0.0535, -0.0055) X_633 = ANTICOMPLEMENT OF X(61) (0.4594, 0.1433) X_1899 = ZOSMA TRANSFORM OF X(1096) (0.6016, 0.1218) X_2993 = CD(X(14)) (0.7704, -0.1728) X_2992 = CD(X(13)) (0.5708, 0.1756) A B C X3129 X3 X299 X6 X471 X265 X300 X68 X633 X1899 X2993 X2992 (a, b, c) = (5, 6, 7) | AB = 1

X2992 (CD(X13)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2979, using P = X13
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(506.325909622478\)
▸ Incident Central Lines5 lines

{3, 299}, {6, 471}, {68, 633}, {265, 300}, {1899, 2993}

▸ Functional Relations4 relations