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Convergence articles

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A seminar of faculty from colleges and universities in the Philadelphia area, meeting monthly at Villanova University.

Here are all articles, classroom activities, and reviews arranged into annual volumes starting with 2004.

On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
How long does it take a single man to do work when...
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
An oracle ordered a prince to build a sacred building, whose space would be 400 cubits, the length being 6 cubits more than the width, and the width 3 cubits more than the height. Find the dimensions of the building.
A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...
The movie Agora, about the mathematician Hypatia of Alexandria (c. 400 AD), is spectacular and intriguing but Hypatia should be portrayed as the hero she was.
A barrel has various holes in it. The fist hole empties the barrel in three days...

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