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A summary of the history of the problem of finding the region of greatest area bounded by a given perimeter. This essay was a winner of the HOM SIGMAA student essay contest in 2006.
The sum of two numbers is 10 and their product is 40. What are the numbers?
Page 8, Images from the Paul Halmos Photograph Collection: Armand Borel, Karol Borsuk, Raoul Bott, William Browder, H. Arlen Brown, and R. Creighton Buck
A sourcebook of original materials in the history of mathematics from ancient times to the early twentieth century.
Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
Two officers each have a company of men, the one has 40 less than the other.
Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?