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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.

A General Question

Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.

Age

My age is a number consisting of two digits, 1/7 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.

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