Convergence articles

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In a right triangle, having been given the perimeter, a, and the length of the perpendicular from the right-angled vertex to the hypotenuse, b, it is required to find the length of the hypotenuse.

Circle and Equilateral Triangle

A circle ABDC is circumscribed around an equilateral triangle ABC. Prove that the straight line AD is equal to the sum of the two straight lines BD and DC.

The Enigmatic Number \(e\): A History in Verse and Its Uses in the Mathematics Classroom

The author uses her poem, 'The Enigmatic Number e,' to show how poetry about the history of mathematics can be used to enrich and enliven mathematics instruction.

10 Into 3 Parts

Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.

Fine Parisian Wine

Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.

Looking for Bargains

One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?

Unexpected Links between Egyptian and Babylonian Mathematics

This book demonstrates the relationship between the mathematics in some recently discovered Babylonian tablets and some standard problems from Egyptian mathematics.

Losing My Marbles?

In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?

Circle and Square

Prove that a square circumscribed about a given circle is double in area to a square inscribed in the same circle.

Review of De grands defis mathematiques d'Euclide a Condorcet

Nine examples of using history in the mathematics classroom -- for those who read French!