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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 bridge is built across a river in 6 months by 45 men. It is washed away by the current. Find the number of workmen sufficient to build another of twice as much worth in 4 months.
Two persons sit down to play for a certain sum of money, and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
One person possesses 7 asava horses, another 9 haya horses, and another 9 camels. Each gives two animals away, one to each of the others.
How long does it take a single man to do work when...
Given the fraction ax/(a-x), convert it into an infinite series.
Given four integers which, if added together three at a time, their sums are: 20, 22, 24, and 27. What are the integers?
A California miner has a spherical ball of gold, 2 inches in diameter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?
You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

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