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Convergence articles

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The sum of two numbers is 10 and their product is 40. What are the numbers?
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.

William Cook recounts the history of and computational progress on the traveling salesman problem, emphasizing connections within mathematics and with other disciplines.

This is the opening page of the section of the geometrical work of Oronce Fine (1494-1555) dealing with Euclid's work on circles. This is part of Fine's major work entitled Protomathesis, which covered arithmetic, astronomy and astronomical instruments, as well as geometry.
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
A wonderful book about the square root of 2, beginning with the search for the side of a square double a given square.
Determine by using algebra the number of degrees in the angle A where: cos A = tan A
One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?
In this article which won the 2005 prize of HOMSIGMAA, the author discusses Eratosthenes' argument to determine the size of the earth as well as possibilities for the size which Eratosthenes found (in modern measures).