X2274

X2-ISOCONJUGATE OF X981

< 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) { 1, 75 }: Central Line L(1, 75) { 58, 560 }: Central Line L(58, 560) { 42, 750 }: Central Line L(42, 750) { 238, 993 }: Central Line L(238, 993) { 518, 869 }: Central Line L(518, 869) 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_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_560 = 4th POWER POINT (0.6520, 0.3639) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_750 = INTERSECTION OF LINES X(1)X(88) AND X(2)X(31) (0.5675, 0.2354) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_993 = MIDPOINT OF X(1) AND X(63) (0.5140, 0.1578) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_2274 = -ISOCONJUGATE OF X(981) (0.5945, 0.2540) A B C X6 X41 X1 X75 X58 X560 X42 X750 X238 X993 X518 X869 X2274 (a, b, c) = (5, 6, 7) | AB = 1

X2274 (X2-ISOCONJUGATE OF X981) 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 X981
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.157362338974\)
▸ Incident Central Lines9 lines

{1, 75}, {3, 1918}, {6, 41}, {42, 750}, {58, 560}, {238, 993}, {518, 869}, {873, 2296}, {1001, 1201}