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Convergence articles

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Mutually Tangent Circles

Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.

Loaves and Bishops

A certain bishop ordered that 12 loaves be divided among his clergy.

From Zero to Infinity
A new edition of a classic work on number theory.
Mathematical Treasure: Edward Cocker's Arithmetick
The most popular and authoritative arithmetic book in late 17th and 18th century England, it stayed in print for 100 years.
Eratosthenes and the Mystery of the Stades
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).
James Gregory and the Pappus-Guldin Theorem
An analysis of James Gregory's proof of the Pappus-Guldin theorem, along with the original documents both in Latin and English.
Counting Boards
Illustration of a counting board in Strasbourg
Snowdrift on the Tracks

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?

Faster Than a Speeding Horse

A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?

Family Travels

Now there are three sisters who leave home together.

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