X2993

CD(X14)

X2993 = isogonal conjugate of X3130
< 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, 298 }: Central Line L(3, 298) { 6, 470 }: Central Line L(6, 470) { 265, 301 }: Central Line L(265, 301) { 68, 634 }: Central Line L(68, 634) { 1899, 2992 }: Central Line L(1899, 2992) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3130 = -CEVA CONJUGATE OF X(6) (1.1238, 1.7343) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_298 = ISOTOMIC CONJUGATE OF 1st ISOGONIC CENTER (0.4724, 0.1301) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_470 = -CROSS CONJUGATE OF X(298) (0.5814, 0.3151) X_265 = REFLECTION OF X(3) IN X(125) (0.8606, -0.0500) X_301 = ISOTOMIC CONJUGATE OF 2nd ISODYNAMIC CENTER (0.8423, -0.0749) X_68 = PRASOLOV POINT (-0.0535, -0.0055) X_634 = ANTICOMPLEMENT OF X(62) (0.3230, -0.0820) X_1899 = ZOSMA TRANSFORM OF X(1096) (0.6016, 0.1218) X_2992 = CD(X(13)) (0.5708, 0.1756) X_2993 = CD(X(14)) (0.7704, -0.1728) A B C X3130 X3 X298 X6 X470 X265 X301 X68 X634 X1899 X2992 X2993 (a, b, c) = (5, 6, 7) | AB = 1

X2993 (CD(X14)) 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 = X14
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.651552463150\)
▸ Incident Central Lines5 lines

{3, 298}, {6, 470}, {68, 634}, {265, 301}, {1899, 2992}

▸ Functional Relations4 relations