X2278

X2-ISOCONJUGATE OF X994

X2278 = inverse-in-Brocard-circle of X2245
< 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, 6 }: Brocard Axis { 37, 48 }: Central Line L(37, 48) { 41, 44 }: Central Line L(41, 44) { 45, 101 }: Central Line L(45, 101) { 55, 184 }: Central Line L(55, 184) { 2, 662 }: Central Line L(2, 662) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_2 = CENTROID (0.5374, 0.2000) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_2278 = -ISOCONJUGATE OF X(994) (0.5520, 0.1879) A B C X3 X6 X37 X48 X41 X44 X45 X101 X55 X184 X2 X662 X2278 (a, b, c) = (5, 6, 7) | AB = 1

X2278 (X2-ISOCONJUGATE OF X994) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sin A + \sin B + \sin C) \cos A + (\cos A + \cos B + \cos C) \sin A : :\)
Search Value (6, 9, 13): \(2.945284372355\)
▸ Linear Combinations1 combination

  • X2278 = \(s\) X3 + \((r + R) \cot(\omega )\) X6

▸ Incident Central Lines17 lines

{2, 662}, {3, 6}, {9, 2174}, {35, 2323}, {37, 48}, {41, 44}, {45, 101}, {46, 1449}, {55, 184}, {65, 604}, {560, 2309}, {563, 2252}, {940, 1790}, {965, 1800}, {1011, 2194}, {1107, 2304}, {1155, 2280}

▸ Functional Relations2 relations