X2209

X2-ISOCONJUGATE OF X330

X2209 = X32-Ceva conjugate of X31
< 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) { 8, 238 }: Central Line L(8, 238) { 86, 750 }: Central Line L(86, 750) { 41, 904 }: Central Line L(41, 904) { 560, 692 }: Central Line L(560, 692) { 1, 1258 }: Central Line L(1, 1258) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_750 = INTERSECTION OF LINES X(1)X(88) AND X(2)X(31) (0.5675, 0.2354) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_904 = -HIRST INVERSE OF X(256) (0.6163, 0.2816) X_560 = 4th POWER POINT (0.6520, 0.3639) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_1 = INCENTER (0.5714, 0.2333) X_1258 = ISOGONAL CONJUGATE OF X(1107) (0.5907, 0.2599) X_2209 = -ISOCONJUGATE OF X(330) (0.6618, 0.3583) A B C X32 X31 X6 X8 X238 X86 X750 X41 X904 X560 X692 X1 X1258 X2209 (a, b, c) = (5, 6, 7) | AB = 1

X2209 (X2-ISOCONJUGATE OF X330) 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 X330
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.067112723437\)
▸ Incident Central Lines12 lines

{1, 1258}, {6, 31}, {8, 238}, {41, 904}, {69, 2239}, {86, 750}, {100, 1740}, {560, 692}, {604, 1911}, {869, 2300}, {941, 2344}, {2175, 2210}

▸ Functional Relations5 relations