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Convergence articles

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Conic Contents

Determine the greatest cylinder that can be inscribed in a given cone.

Tree and Vine

A tree is 2 zhang tall and has a circumference of 3 chi. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?

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.

Four Companies

There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?

Maya Calendar Conversions
The authors provide descriptions of Maya calendar systems, photos of artifacts, examples of calendar conversions, and exercises for classroom use.
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.

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