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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 man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
Determine the greatest cylinder that can be inscribed in a given cone.
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
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 powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...