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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 square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
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.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
There is a mound of earth in the shape of a frustum of a cone.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions