Challenging Mathematical Problems with Elementary Solutions: Problems from various branches of mathematicsHolden-Day, 1967 |
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a₁ axis b₁ b₂ binomial theorem block of digits 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 Pi 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 P1 log P2 pairs parallel parallelogram plane player points A1 polygons of rank polynomial positive integer possible projective geometry proof prove ratio rectangle result of problem satisfying the conditions segment sequence sides sin² square Suppose term in common tetrahedra theorem u₁ u₂ vertex vertices α α