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Convergence articles

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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.
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.

Perpendicular Curves

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

An Apple a Day

A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.

A Radical Approach to Real Analysis

A historically minded textbook designed to teach real analysis by considering some of the problems faced by 19th century mathematicians.

To Know a Little

To find three quantities x.y, and z...

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