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Problems from Another Time

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

Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
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.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
In a rectangle, having given the diagonal and perimeter, find the sides
A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...
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.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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.
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?

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