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Problems from Another Time

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

X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
The history and mathematics of curve sketching, tangent lines, and optimization, are explored using interactive applets.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.
Two men rent a pasture for 100 liras on the understanding that two cows are to be counted as being equivalent to three sheep. The first puts in 60 cows and 85 sheep; the second 80 cows and 100 sheep. How much should each pay?

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