X1459

X521-BETH CONJUGATE OF X521

X1459 = reflection of X656 in X905
< 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) { 656, 905 }: Central Line L(656, 905) { 1, 522 }: Central Line L(1, 522) { 6, 657 }: Central Line L(6, 657) { 242, 514 }: Central Line L(242, 514) { 106, 953 }: Central Line L(106, 953) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_1 = INCENTER (0.5714, 0.2333) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_657 = CROSSDIFFERENCE OF X(1) AND X(7) (10.1538, -2.2611) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_953 = ISOGONAL CONJUGATE OF X(952) (0.0000, 0.2041) X_1459 = -BETH CONJUGATE OF X(521) (3.6667, -0.5443) A B C X656 X905 X1 X522 X6 X657 X242 X514 X106 X953 X1459 (a, b, c) = (5, 6, 7) | AB = 1

X1459 (X521-BETH CONJUGATE OF X521) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b - c)\cos A: (c - a)\cos B: (a - b)\cos C\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-3.691081847182\)
▸ Incident Central Lines8 lines

{1, 522}, {6, 657}, {106, 953}, {242, 514}, {513, 663}, {520, 647}, {521, 656}, {649, 834}

▸ Functional Relations12 relations