# Convergence articles

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A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
A comprehensive history of trigonometry from ancient times to the Renaissance.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
The eleventh International Congress on Mathematical Education will meet in Monterrey, Mexico from July 6 to July 13, 2008.
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?
This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress.

In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?

In this collection of essays on modern trends and issues in the history of mathematics, consideration of mathematics history in the classroom is often more theoretical than practical.

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?