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Problems from Another Time

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

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 certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
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?
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?
Problems from a 15th century French manuscript, including one with negative solutions
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

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