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There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?

Gaspard Monge's Descriptive Geometry

This is the title page to the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ecole Polytechnique in Paris.

The Mathematical Century

The development of 30 important mathematics subjects during the twentieth century made understandable to undergraduate mathematics majors.

Comparing Apples to Oranges

The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.

Agnesi to Zeno

Short biographies of mathematicians with mathematical activities.

Square in the Circle

There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

Awakening of Geometrical Thought in Early Culture

How does geometry begin? This work explores the origins of geometry in the work of artisans.

Websites to Visit

There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.

The Mathematics of the Heavens and the Earth

A comprehensive history of trigonometry from ancient times to the Renaissance.

Square Battalions

A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.