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A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.

Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection

Page 11: Dantzig to Dieudonne

Thomas Simpson and Maxima and Minima

Simpson's methods for finding maxima and minima are explored by using examples from his "Doctrine and Application of Fluxions." Many of his techniques could be used in today's classroom.

Galileo's Geometrical Compass

This is the title page of the 1640 printing of Galileo's Operation of the Geometrical and Military Compass, originally published privately in 1606. Galileo had invented a version of this geometrical compass a few years earlier and evidently gave copies of this manual to those who bought the compass. The compass had many uses, from performing square root calculations to determining ranges of cannons to solving surveying problems.

Geometry Civilized: History, Culture, & Technique

This a wonderfully written tour of aspects of classical geometry-- a must read for all geometry teachers.

Perimeters of Similar Triangles II

The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

Historical Connections in Mathematics

Brief biographies of mathematicians with mathematical activities based on their work.

A Family Problem

A man, woman, and two boys desire to cross a river, but their boat has weight restrictions!

Gerbert d'Aurillac and the March of Spain: A Convergence of Cultures

The story of Gerbert, who became Pope Sylvester II in 999, and his mathematics.

Appendix

Information on previous ESUs