Discusses Napoleon's involvement with mathematics and education. Describes two geometric constructions dividing the circumference of a circle into four equal parts and finding the center of a given circle. Summarizes the establishment of the Institute of Egypt and the educational system in France. Twenty-seven references are listed. (YP)

Examines how ancient Chinese mathematicians attempted to correct an error concerning the volume of a sphere in the Nine Chapters on the Mathematical Art, a compendium of the mathematics known and used in China in ancient times. (MKR)

Describes the most enduring link between Napoleon and mathematics as the geometric result known as Napoleon's Theorem, which states that if equilateral triangles are drawn on the three sides of any triangle, the line segments joining the centers of these equilateral triangles will themselves form an equilateral triangle. (ASK)

Discussed contributions to the field of astronomy made by ancient Egyptians. Provides examples of how some of the observations made were applied to science. The use of geometry is illustrated by several calculations of celestial alignment. (TW)

Discusses problems similar to the Pythagorean Theorem as they were presented in historical mathematical texts from China and Babylon dating back to well before the time of Pythagoras. (ASK)

Discusses the geometric and mathematical features of the pyramids in Cairo. Describes the relationship between the great pyramid and Pi. (ASK)

This article provides a chronological table on the history of geometry. The table describes the name and performance of mathematicians from the Babylonians to 1977. Nineteen references are listed. (YP)

Presents a class project for creating a time line depicting the history of geometry that includes writing short biographies of mathematicians and summarizing geometric ideas to form an historical perspective. (ASK)

Diagrams that aid in relating the golden ratio to pi are discussed, with the theorem and its proof. (MNS)

One of the four cornerstones of the National Council of Teachers of Mathematics (NCTM) "Curriculum and Evaluation Standards for School Mathematics" asserts that connecting mathematics to other subjects in the curriculum and to the everyday world is an important goal of school mathematics. This yearbook is designed to help classroom…

This document features an activity for estimating the distance from the earth to the moon during a solar eclipse based on calculations performed by the ancient Greek astronomer Hipparchus. Historical, mathematical, and scientific details about the calculation are provided. Internet resources for teachers to obtain more information on the subject…

A discussion of a contest between the German mathematician Adam Riese and a draftsman involving the construction of as many perpendicular lines as possible in one minute leads to a review of some interesting constructions involving circles. It is suggested teachers challenge their students with the historic contest question. (MP)

Argues that the derivation of the area of a circle using integral calculus is invalid. Describes the derivation of the area of a circle when the formula is not known by inscribing and circumscribing the circle with regular polygons whose areas converge to the same number. (MDH)

Some methods of proof of traditional algebra problems using geometric methods are explored. The techniques used come from the original Greek approaches to these mathematical questions. (MP)

Examined are the roles of several historical figures in the development of the field of geometry. Discussed are Thales, Pythagoras, Plato, Euclid, and Apollonius. (CW)