Challenging Mathematical Problems with Elementary Solutions: Problems from various branches of mathematicsHolden-Day, 1967 |
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a₁ a₂ axis b₁ b₂ block of digits C₁ chord coefficients colors Configuration Consider contains convex polygon cookies cot 4n cot2 curve curvilinear trapezoid ABCD d₁ denote deviation from zero digit of P₁ distance equal equation exactly follows formula Hence hyperbola inequality integer intersect interval last digit lattice points least length log P₁ log P2 log log Pr log² loga q logarithms losing positions mathematical induction mathematics Minkowski's theorem natural logarithms neighbors of rank node number of digits number of triangles obtain P₁ and P₂ pairs parallel parallelogram plane player points A1 polygons of rank polynomial positive integer possible projective geometry proof prove r₁ ratio rectangle result of problem satisfying the conditions segment sequence sides sin² square stops Suppose term in common tetrahedra theorem u₁ u₂ vertex vertices