X2206

X2-ISOCONJUGATE OF X321

X2206 = isogonal conjugate of X313
< 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) { 31, 48 }: Central Line L(31, 48) { 36, 58 }: Central Line L(36, 58) { 6, 199 }: Central Line L(6, 199) { 32, 184 }: Central Line L(32, 184) { 42, 284 }: Central Line L(42, 284) { 99, 697 }: Central Line L(99, 697) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_849 = 4th HATZIPOLAKIS-YIU POINT (0.6376, 0.3351) X_1333 = POINT ALULA (0.6308, 0.3181) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_99 = STEINER POINT (0.1109, 0.4322) X_697 = EVEN (- 4, - 3) CIRCUMCIRCLE POINT (0.9705, 0.2996) X_2206 = -ISOCONJUGATE OF X(321) (0.6455, 0.3498) A B C X849 X1333 X31 X48 X36 X58 X6 X199 X32 X184 X42 X284 X99 X697 X2206 (a, b, c) = (5, 6, 7) | AB = 1

X2206 (X2-ISOCONJUGATE OF X321) 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 X321
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.201309568665\)
▸ Incident Central Lines19 lines

{6, 199}, {21, 987}, {31, 48}, {32, 184}, {36, 58}, {42, 284}, {81, 982}, {99, 697}, {110, 727}, {604, 1395}, {902, 2328}, {909, 2299}, {1106, 1408}, {1201, 2360}, {1412, 1416}, {1437, 1472}, {1780, 1801}, {1922, 2205}, {2204, 2208}

▸ Functional Relations9 relations