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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.
Rabbits and pheasants are put in a basket.
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
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.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.