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Problems from Another Time

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

Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.
A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.
Now there are six-headed four-legged animals and four-headed two-legged birds. Find the total number of animals and birds.
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.
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 tree with 100 branches. How many nests, eggs and birds are there?
Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side of the base to the apex.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.

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