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Convergence articles

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Prime Numbers: The Most Mysterious Figures in Math

An introduction to the prime numbers in many of their aspects.

Karen Dee Michalowicz
We sadly announce the untimely death of one of Convergence's editorial board members.
The Incircle of a Triangle

The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.
 

HOM SIGMAA 2010 Student Paper Contest Winners

Download the three winning essays to learn about medieval Islamic dust boards, Old Babylonian similarity, and the Fermat Problem.

Investing in Apples and Pears

A merchant woman buys and sells apples and pears. How much did she invest in apples; how much in pears?

Swinging Pendulum

Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?

Loafing About

There were two men, of whom the first had 3 small loaves of bread and the other, 2.

Limit Points and Connected Sets in the Plane

A study of Mullikan's Nautilus, using movies to illustrate the important ideas

The Door and the Rod

Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.

Nuts Over Counting

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. What is the smallest number of nuts he could have?

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