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Convergence articles

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The Fibonacci numbers and applications to areas such as plant growth and stock market predictions.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
This is from a letter of June, 1695 in which Leibniz is discussing differentiation with Johann Bernoulli. The work in which these letters appear is the Virorum Celeberr. Got. Gul. Leibnitii et Johann Bernoulli Commercium Philosophicum et Mathematica, originally published in 1740.
A seminar of faculty from colleges and universities in the Philadelphia area, meeting monthly at Villanova University.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.
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.
There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

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.

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