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Convergence articles

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Animal Customs

A fox, a wild-cat, and a hound pass through customs and together pay 111 coins.

To Each His Due

A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.

Area of a Polygon

Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.

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.
 

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