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Convergence articles

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Review of L'algebre au temps de Babylone: Quand les mathematiques s'ecrivaient sur de l'argile

[Translation of title: Algebra in the Time of Babylon. When Mathematics Were Written on Clay.] A thorough review of Jens Hoyrup's revision, expansion, and French translation of his own 1998 book for Danish high-school students.

Isoceles Trapezoid

Given the dimensions of an isosceles trapezoid, find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.

Robert Recorde's Pathway to Knowledge
The first page of Pathway to Knowledge by Robert Recorde (1510-1558). A version of Euclid's Elements, with commentary by Recorde to make it easier to understand. This page includes Euclid's first three postulates.
The Art of the Infinite

This book is a collection of mathematical ideas organized around the themes of infinity and the illumination of the nature of mathematical thought.

The Pythagorean Theorem: A 4,000 Year History

A survey of this theorem's 4000 year history, with applications to many fields.

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.

Silver Cups

A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.

Review of Mathematics Emerging: A Sourcebook 1540-1900

Our reviewer praises the selection of excerpts, the use of facsimiles rather than transcriptions, and the commentary and English translation in this collection.

Completing the Square
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
Boethius's Arithmatic
The Arithmetic of Boethius (480-524) dates from the early sixth century. This page is from a mansucript (Plimpton MS 165) that dates from approximately 1294, written on vellum.

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