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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

The Mayan and Other Ancient Calendars

A detailed study of the cycles of the Mayan calendar, along with some other ancient calendars.

Math and the Mona Lisa

The authors makes the case for Leonardo da Vinci as the first modern scientist, as he discussed Leonardo's mathematics and science.