X1566

ORTHOJOIN OF X676

X1566 = crosspoint of X514 and X516
< 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) { 132, 242 }: Central Line L(132, 242) { 116, 514 }: Central Line L(116, 514) { 118, 516 }: Central Line L(118, 516) { 11, 650 }: Central Line L(11, 650) { 125, 661 }: Central Line L(125, 661) { 2, 927 }: Central Line L(2, 927) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_132 = ∩X(4)X(32) (0.5642, 0.5039) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_2 = CENTROID (0.5374, 0.2000) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_1566 = ORTHOJOIN OF X(676) (0.3042, 0.2081) A B C X514 X516 X132 X242 X116 X118 X11 X650 X125 X661 X2 X927 X1566 (a, b, c) = (5, 6, 7) | AB = 1

X1566 (ORTHOJOIN OF X676) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1512)
Search Value (6, 9, 13): \(4.159459144397\)

X1566 lies on the nine-point circle.

▸ Incident Central Lines6 lines

{2, 927}, {11, 650}, {116, 514}, {118, 516}, {125, 661}, {132, 242}

▸ Functional Relations6 relations