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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 certain merchant increases the value of his estate by 1/3...
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
A square walled city of unknown dimensions has four gates, one at the center of each side.
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 authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.

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