X2269

X2-ISOCONJUGATE OF X961

< 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) { 8, 9 }: Central Line L(8, 9) { 6, 31 }: Central Line L(6, 31) { 63, 193 }: Central Line L(63, 193) { 41, 219 }: Central Line L(41, 219) { 60, 283 }: Central Line L(60, 283) { 1, 573 }: Central Line L(1, 573) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_1 = INCENTER (0.5714, 0.2333) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_2269 = -ISOCONJUGATE OF X(961) (0.5691, 0.2326) A B C X8 X9 X6 X31 X63 X193 X41 X219 X60 X283 X1 X573 X2269 (a, b, c) = (5, 6, 7) | AB = 1

X2269 (X2-ISOCONJUGATE OF X961) 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 X961
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.754767608891\)
▸ Incident Central Lines25 lines

{1, 573}, {3, 604}, {6, 31}, {8, 9}, {11, 1213}, {35, 572}, {37, 1953}, {40, 2285}, {41, 219}, {48, 836}, {60, 283}, {63, 193}, {185, 1409}, {198, 2256}, {497, 966}, {517, 2171}, {563, 2252}, {579, 1449}, {899, 992}, {1100, 2245}, {1193, 1682}, {1201, 2277}, {1496, 2199}, {1829, 2292}, {1936, 2303}

▸ Functional Relations3 relations