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Convergence articles

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Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.
Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
To find three quantities x.y, and z...
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
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.
Eratosthenes' measurement of the earth, in a form that's easy for teachers to use in the classroom.

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