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The "rood", a linear measure dating from many centuries ago, is calculated anew in today's classrooms.

Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?

The Ambitious Horse

Problems taken from Chinese sources

The Cost of War

After a terrible battle it is found that 70% of the soldiers have lost an eye.

An Investigation of Historical Geometric Constructions

Dynamic geometry software is used to demonstrate early Greek attempts at the trisection of an angle and the squaring of a circle.

Dimensions of a Triangle

Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.

Investigating Euler's Polyhedral Formula Using Original Sources

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

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.

Numbers Game #1

The sum of two numbers is 10 and their product is 40. What are the numbers?