X1562

ORTHOJOIN OF X520

X1562 = X393-Ceva conjugate of X647
< 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) { 115, 125 }: Central Line L(115, 125) { 148, 287 }: Central Line L(148, 287) { 127, 525 }: Central Line L(127, 525) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_647 = CROSSDIFFERENCE OF X(2) AND X(3) (4.2063, -0.5653) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_148 = STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE (1.3904, -0.2646) X_287 = -HIRST INVERSE OF X(98) (0.7437, -0.0511) X_127 = -OF-MEDIAL-TRIANGLE (0.5480, -0.0061) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_1562 = ORTHOJOIN OF X(520) (0.6315, -0.0141) A B C X393 X647 X115 X125 X148 X287 X127 X525 X1562 (a, b, c) = (5, 6, 7) | AB = 1

X1562 (ORTHOJOIN OF X520) 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): \(2.613134367450\)
▸ Incident Central Lines3 lines

{115, 125}, {127, 525}, {148, 287}

▸ Functional Relations5 relations