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Convergence articles

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The Secret Life of Numbers

Short sketches on how mathematicians work and think.

A Successful Businessman

A certain merchant increases the value of his estate by 1/3...

Four Congruent Circles and an Inscribed Square

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

Extracting Square Roots Made Easy: A Little Known Medieval Method
A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar.
Three Vertical Posts

Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By using measurments of the posts, determine, to the nearest mile, the radius of the earth.

Pepper Importation

A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.

Cat on a Hot Tin Wall

A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall.

The Life of Numbers

A creative expression combining text, design and illustrations, originally designed for the International Congress of Mathematicians in Madrid.

Two Men Meet

A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.

Compound Interest

Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?

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