Convergence articles

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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.

The Recruiting Officers

Two officers each have a company of men, the one has 40 less than the other.

Woodcutter

A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.

What's in Convergence? - Tables of Contents

Here are all articles, classroom activities, and reviews arranged into annual volumes starting with 2004.

Defeated in Battle

The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?