X2983

DC(X27)

X2983 = X647-cross conjugate of X101
< 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) { 9, 34 }: Central Line L(9, 34) { 56, 219 }: Central Line L(56, 219) { 63, 269 }: Central Line L(63, 269) { 1, 1257 }: Central Line L(1, 1257) { 6, 1260 }: Central Line L(6, 1260) { 71, 1474 }: Central Line L(71, 1474) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_647 = CROSSDIFFERENCE OF X(2) AND X(3) (4.2063, -0.5653) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_9 = MITTENPUNKT (0.5110, 0.1615) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_1 = INCENTER (0.5714, 0.2333) X_1257 = ISOGONAL CONJUGATE OF X(1104) (0.4843, 0.1638) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1260 = ISOGONAL CONJUGATE OF X(1119) (0.3557, 0.0365) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1474 = -BETH CONJUGATE OF X(1172) (0.6165, 0.3951) X_2983 = DC(X(27)) (0.5241, 0.1955) A B C X647 X101 X9 X34 X56 X219 X63 X269 X1 X1257 X6 X1260 X71 X1474 X2983 (a, b, c) = (5, 6, 7) | AB = 1

X2983 (DC(X27)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2979, using U = X27
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.673848801298\)
▸ Incident Central Lines12 lines

{1, 1257}, {6, 1260}, {9, 34}, {10, 2322}, {56, 219}, {58, 2327}, {63, 269}, {71, 1474}, {268, 1413}, {937, 1743}, {998, 1723}, {1438, 2269}

▸ Functional Relations3 relations