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Convergence articles

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Benjamin Banneker
Poster of Banneker, with a brief description of his life and work.
Where Cosine Meets Tangent

Determine by using algebra the number of degrees in the angle A where: cos A = tan A

Can You Really Derive Conic Formulae from a Cone?

As is the case with a great deal of interesting mathematics, the conic sections are believed to have been discovered in an attempt to solve a problem, a problem which on the surface seems to have nothing to do with conic sections.

Leonard Euler's Solution to the Konigsberg Bridge Problem

A survey of the famous Konigsberg Bridge Problem and its connection to graph theory, by an undergraduate student.

The Rule of False Position and Geometric Problems

This article contains examples of the use of the rule of false position in the solution of geometric problems as found in the work of Simon Stevin. We discuss the benefits for future teachers and their students.

Approximate Construction of Regular Polygons: Two Renaissance Artists
Leonardo da Vinci and Albrecht Durer both offered approximate constructions of regular pentagons for the use of artists. This article explains these constructions.
Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection

We invite you to send us information about these photographs of 20th century mathematicians.

Archimedes' Method for Computing Areas and Volumes-Introduction

Archimedes' use of the law of the lever to compute areas and volumes in The Method is discussed. Classroom ready examples are presented.

Isaac Barrow's Geometrical Lectures
This is the title page to the English version of Isaac Barrow's Geometrical Lectures, which were originally given in his position as Lucasian Professor of Mathematics at Cambridge University. These lectures contain one of the earliest statements and proofs of what is today known as the fundamental theorem of calculus.
Cogwheels of the Mind: The Story of Venn Diagrams

An introduction to the work of Venn as well as the work of the author in extending some of Venn's results.

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