X2286

X2-ISOCONJUGATE OF X1039

< 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, 41 }: Central Line L(6, 41) { 63, 77 }: Central Line L(63, 77) { 37, 478 }: Central Line L(37, 478) { 1, 608 }: Central Line L(1, 608) { 71, 603 }: Central Line L(71, 603) { 607, 610 }: Central Line L(607, 610) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_478 = CENTER OF YIU CONIC (0.5030, -0.3520) X_1 = INCENTER (0.5714, 0.2333) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_2286 = -ISOCONJUGATE OF X(1039) (0.5502, 0.1464) A B C X6 X41 X63 X77 X37 X478 X1 X608 X71 X603 X607 X610 X2286 (a, b, c) = (5, 6, 7) | AB = 1

X2286 (X2-ISOCONJUGATE OF X1039) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1039
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-1.904718624690\)
▸ Incident Central Lines13 lines

{1, 608}, {3, 2197}, {6, 41}, {37, 478}, {55, 1950}, {63, 77}, {71, 603}, {221, 2256}, {284, 1037}, {388, 2303}, {607, 610}, {1413, 2336}, {1496, 2199}

▸ Functional Relations1 relation