# Convergence articles

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The highest point of the Andes is about 4 miles above sea level.

Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Suppose a person whose height is 5 feet 7 inches travels 10000 miles in the arc of a great circle. How much further will the person's head have gone compared to their feet, the circumference of the Earth being 21600 miles?

Find the greatest value of y in a given equation.

Netscape Users

This book is a collection of mathematical ideas organized around the themes of infinity and the illumination of the nature of mathematical thought.

Curve sketching, tangent lines, and optimization, explored via interactive applets

A description of this well-regarded website.

Knowing the base, b, and the altitude, a, of a triangle, find the expression for a side of the inscribed square.