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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 cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
A number is required; that the square shall be equal to twice the cube.
A leech invited a slug for a lunch a leuca away.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
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.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

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