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Convergence articles

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Alien Encounters
A dramatization, in two Acts, of the struggles of European mathematicians of the seventeenth and eighteenth centuries to come to terms with the newly admitted negative numbers.
A Circular Problem

Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.

Water Reeds

A pond has two water reeds, where the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.

A Round Town

There is a round town 8000 feet in circumference.

Flying High

How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?

When a Number System Loses Uniqueness: The Case of the Maya
Considering non-unique representation of Maya calendar numbers may help your students understand their own number system better.
Area of a Polygon

Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.

Gaspard Monge's Descriptive Geometry
This is the title page to the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ecole Polytechnique in Paris.
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.

What is 0^0?
The expression 0^0 is usually called an indeterminate form. This article details the history of the meaning of this expression and concludes that, in some cases, we should evaluate it as 1.

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