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Convergence articles

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The Rat Race

Now there is a wall 5 feet thick and two rats tunnel from opposite sides.

The Quadrature of the Circle and Hippocrates' Lunes

A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.

It's About Time

A great book from which to learn and teach the subject of relativity.

Euler's Gem: The Polyhedron Formula and the Birth of Topology

A sketch of the history of topology, beginning with the polyhedron formula, but continuing up to the present.

Circle, Square, and Triangle

A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.

A Dangerous Castle Indeed

A castle has n rooms each of which has 7 samurai in it.

Money Makes the World Go Around

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

Arthur Cayley: Mathematician Laureate of the Victorian Age

A biography of Arthur Cayley, the outstanding mathematician of Victorian Britain.

The Sum of Its Parts

One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...

Loaf of Bread

In baking a hemispherical loaf of bread of 10" radius, the crust was everywhere of an equal thickness, and the solidity of the crust was equal to half the solid content of the whole loaf. What were the dimensions of the interior soft part?

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