X2280

X2-ISOCONJUGATE OF X1002

X2280 = X985-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) { 1, 41 }: Central Line L(1, 41) { 57, 77 }: Central Line L(57, 77) { 48, 354 }: Central Line L(48, 354) { 165, 572 }: Central Line L(165, 572) { 9, 1174 }: Central Line L(9, 1174) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_985 = ISOGONAL CONJUGATE OF X(984) (0.5961, 0.2693) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1 = INCENTER (0.5714, 0.2333) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_354 = WEILL POINT (0.5823, 0.2533) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_2280 = -ISOCONJUGATE OF X(1002) (0.5750, 0.2304) A B C X985 X31 X6 X1 X41 X57 X77 X48 X354 X165 X572 X9 X1174 X2280 (a, b, c) = (5, 6, 7) | AB = 1

X2280 (X2-ISOCONJUGATE OF X1002) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a (a^{2} - a (b + c) - 2 b c) : :\)
Search Value (6, 9, 13): \(1.720978178291\)
▸ Incident Central Lines28 lines

{1, 41}, {3, 1475}, {6, 31}, {9, 1174}, {32, 1468}, {34, 2332}, {37, 2348}, {48, 354}, {57, 77}, {145, 2329}, {165, 572}, {213, 2241}, {218, 1334}, {380, 2285}, {748, 2238}, {985, 1002}, {999, 1055}, {1155, 2278}, {1185, 2300}, {1193, 2271}, {1212, 1802}, {1400, 1617}, {1405, 2078}, {1829, 1973}, {1851, 2201}, {2242, 2251}, {2272, 2317}, {2291, 2364}

▸ Functional Relations2 relations