X2275

X2-ISOCONJUGATE OF X983

X2275 = isogonal conjugate of X17743
< 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) { 1, 39 }: Central Line L(1, 39) { 6, 41 }: Central Line L(6, 41) { 32, 36 }: Central Line L(32, 36) { 34, 232 }: Central Line L(34, 232) { 2, 330 }: Central Line L(2, 330) { 87, 256 }: Central Line L(87, 256) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_232 = -CEVA CONJUGATE OF X(132) (0.6919, 0.7779) X_2 = CENTROID (0.5374, 0.2000) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_87 = -CROSS CONJUGATE OF X(1) (0.4794, 0.1691) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_2275 = -ISOCONJUGATE OF X(983) (0.5838, 0.2279) A B C X1 X39 X6 X41 X32 X36 X34 X232 X2 X330 X87 X256 X2275 (a, b, c) = (5, 6, 7) | AB = 1

X2275 (X2-ISOCONJUGATE OF X983) 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 X983
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.468324910011\)
▸ Incident Central Lines23 lines

{1, 39}, {2, 330}, {3, 1914}, {6, 41}, {8, 1575}, {9, 1050}, {32, 36}, {34, 232}, {35, 574}, {46, 1572}, {57, 893}, {65, 2186}, {87, 256}, {194, 350}, {213, 995}, {216, 1038}, {579, 2300}, {614, 1194}, {672, 1201}, {978, 2238}, {1149, 1334}, {1449, 2092}, {1573, 1698}

▸ Functional Relations3 relations