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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 round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
After a terrible battle it is found that 70% of the soldiers have lost an eye.
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?

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