X2308

X2-ISOCONJUGATE OF X1255

X2308 = isogonal conjugate of X1268
< 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, 31 }: Central Line L(6, 31) { 36, 58 }: Central Line L(36, 58) { 81, 238 }: Central Line L(81, 238) { 44, 756 }: Central Line L(44, 756) { 171, 899 }: Central Line L(171, 899) { 110, 1171 }: Central Line L(110, 1171) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_899 = INTERSECTION OF LINES X(1)X(2) AND X(6)X(750) (2.3571, 1.9829) X_1171 = 1st SARAGOSSA POINT OF X(42) (0.6052, 0.2763) X_2308 = -ISOCONJUGATE OF X(1255) (0.6059, 0.2758) A B C X110 X649 X6 X31 X36 X58 X81 X238 X44 X756 X171 X899 X1171 X2308 (a, b, c) = (5, 6, 7) | AB = 1

X2308 (X2-ISOCONJUGATE OF X1255) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1 - \cos 2A + (1 + \cos A)(\cos B + \cos C) : :\)
Search Value (6, 9, 13): \(0.865923067804\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a(ar + S) : : (César Lozada, 9/07/2013)\)

▸ Incident Central Lines24 lines

{6, 31}, {36, 58}, {38, 1386}, {44, 756}, {56, 1392}, {81, 238}, {110, 1171}, {171, 899}, {184, 1475}, {222, 1471}, {612, 1743}, {748, 940}, {968, 1449}, {999, 1201}, {1042, 1451}, {1100, 1962}, {1197, 1977}, {1397, 1400}, {1402, 1404}, {1405, 1460}, {1458, 2003}, {2194, 2260}, {2203, 2354}, {2258, 2364}

▸ Functional Relations7 relations