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Convergence articles

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Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
Determine the greatest cylinder that can be inscribed in a given cone.
Some ideas on using student reports when you teach a course in the history of mathematics
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
A biography of Hypatia in her times, which carefully distinguishes between the known facts of her life and the many speculations about her.
The authors provide descriptions of Maya calendar systems, photos of artifacts, examples of calendar conversions, and exercises for classroom use.
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?

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