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Convergence articles

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Wooden Beam Against the Wall

A wooden beam is stood vertically against a wall. The length of the beam is 30 units.

Money Changers

Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."

Sum of a Series

What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?

Combining Strands of Many Colors: Episodes from Medieval Islam for the Mathematics Classroom
The author presents five modules based on mathematics from medieval Islamic cultures for use in a variety of high school and college mathematics courses.
A Grinding Stone

Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?

Sacred Mathematics: Japanese Temple Geometry

This book describes some of the so-called temple geometry problems that Japanese mathematicians posed and solved beginning in the seventeenth century.

Circumscribed Circle #2

Find the isosceles triangle of smallest area that circumscribes a circle of radius a.

In the Gentleman's Garden

A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?

Math Forum website
A description of this well-regarded website.
Hogsheads of Rum

Two merchants, A and B, loaded a ship with 500 hhds (hogsheads) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?

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