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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 teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months absence caused by sickness, he received only $409.50. What was his board worth per month?
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...

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