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Convergence articles

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The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

A history of the various algebraic structures that came together to give us "abstract algebra" by early in the twentieth century.
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.

The author uses her poem, 'The Enigmatic Number e,' to show how poetry about the history of mathematics can be used to enrich and enliven mathematics instruction.

Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.

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