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In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?

Weights and Measures

A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?

Historical Activities for the Calculus Classroom

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

The Door is Ajar

A two door gate of unknown width is opened so that a 2 ts'un gap exists between the two doors.

Horses to Qi

Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.

Review of The Genesis of Science: The Story of Greek Imagination

Review of Bertram's text on the history of Greek science.

A Perfect Cone Sugarloaf

Three persons bought a sugar loaf in the form of a perfect cone 25 inches high and agreed to divide it...what was the slant height of each one's share?

Isoceles Trapezoid

Given the dimensions of an isosceles trapezoid, find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.

Robert Recorde's Pathway to Knowledge

The first page of Pathway to Knowledge by Robert Recorde (1510-1558). A version of Euclid's Elements, with commentary by Recorde to make it easier to understand. This page includes Euclid's first three postulates.

The Art of the Infinite

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