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The Fundamental Theorem of Calculus is presented in the version of Scottish mathematician James Gregory—without the use of limits.

Drinking Wine by the Barrel

A man and his wife drink a barrel of wine at different rates.

Euler: The Master of Us All

A small selection of Euler's works, explained by a master expositor.

Arbelos

In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.

Storm's A' Brewin'

What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...

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.

Travelling Steamers

The steamer, Katie, leaves the wharf at New Orleans and runs an average speed of 15 mph. When Katie had gone 25 miles, the steamer R.E. Lee leaves the wharf and runs the average speed of 18 mph. How far will the Lee go before she overtakes the Katie?

Perpendicular Curves

Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.