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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 cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
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?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
After a terrible battle it is found that 70% of the soldiers have lost an eye.
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?
Problems from a 15th century French manuscript, including one with negative solutions
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?
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.

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