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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 bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
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?
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.
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?
A certain merchant increases the value of his estate by 1/3...
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.

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