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Convergence articles

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Lotus in the Lake

In a certain lake, swarming with red geese, the tip of a lotus bud was seen to extend a span above the surface of the water.

Two Numbers

Find two numbers with sum 20 and when squared their sum is 208.

Sick Leave

A teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months' absence caused by sickness, he received only $409.50. What was his board worth per month?

A Disquisition on the Square Root of Three
The author compares Greek ladder, continued fraction, and Newton's Method approximations, noting that the Greek ladder easily gives both of Archimedes' famous bounds.
Four Circles in a Square

In a given square, inscribe 4 equal circles so that...

Tools of American Mathematics Teaching, 1800-2000

A survey of the use of technology in American mathematics teaching over the past 200 years.

Multiplying Like Rabbits

Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual rate of growth of the population.

Lunchtime at the Fish Pond

A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.

The Honors Class

This work discusses the people who solved some of Hilbert's problems from 1900, as well as the mathematics involved in the solutions.

Japanese right triangle

There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.

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