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Convergence articles

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A Modern Vision of the Work of Cardano and Ferrari on Quartics

A study of the solution of quartic equations in Cardano's Ars Magna and in the work of Euler and Descartes.

Divide the Stakes

Two persons sit down to play for a certain sum of money, and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?

The World of Maria Gaetana Agnesi, Mathematician of God

A biography stressing Agnesi's deep commitment to help those in need.

Area Problem

Three equal circles with radii 12 feet are tangent to each other. Compute the area enclosed between them.

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?

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