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Convergence articles

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Leonardo da Vinci's Geometric Sketches

This is a collection of plates that Leonardo da Vinci created to illustrate De divina proportione of Luca Pacioli.

Traveling Men

Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.

A Basket Case

Rabbits and pheasants are put in a basket.

Elephant Hunt

On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.

Steamboat

The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?

The Classic Greek Ladder and Newton's Method

Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.

Purse of Denari

Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.

Annual Meeting of HPM Americas Section
This meeting will take place at the MAA Carriage House in Washington, DC on April 19, 2008.
Two Circles

Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?

Yearning for the Impossible: The Surprising Truths of Mathematics

This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress.

 

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