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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side to the apex.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Curve sketching, tangent lines, and optimization, explored via interactive applets
In a rectangle, having given the diagonal and perimeter, find the sides
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.

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