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There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.
A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.

An introduction to the prime numbers in many of their aspects.

What is the value of X...
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Thumbnail sketches of statisticians throughout history.
Determine the greatest cylinder that can be inscribed in a given cone.