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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
The highest point of the Andes is about 4 miles above sea level.
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.
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
There is a round town 8000 feet in circumference.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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