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Problems from Another Time

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

Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...
In a given square, inscribe 4 equal circles so that...
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?

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