EUCLID'S GEOMETRY: History and Practice

This series of interdisciplinary lessons on Euclid's Elements was researched and written by Alex Pearson, a Classicist at The Episcopal Academy in Merion, Pennsylvania.

The material is organized into class work, short historical articles, assignments, essay questions, and a quiz. For the Greek text and a full translation of The Elements, see the Perseus Project at Tufts University.


Introduction

"Why do we have to learn this?" A discussion of how geometry has seemed indispensable to some people for over two millennia.

Unit 1

Definitions, axioms and Theorem One.
On a given finite straight line construct an equilateral triangle.
Upon a given point place a straight line equal to a given straight line.

Unit 2

Theorem Two and an introduction to history.
Upon a given point place a straight line equal to a given straight line. Historical articles; essay questions.

Unit 3

Group discussions on the Elements; history and propositions; preparation for the Unit 4 Quiz.

Unit 4

Quiz: Complete Euclid's Fifth Theorem and identify the definitions, common notions, postulates and prior theorems by number. Prove two of the historical propositions using at least two different pages from my history of The Elements as building blocks for each.


Historical Articles
  A series of seventeen short historical articles arranged in chronological order and ranging from Alexander the Great to discussions of nineteenth-century of Euclid's Elements.
Essay Questions
  Sixteen essay questions requiring a reading of the historical articles.
Theorems One and Two, with important Definitions and Postulates
  Translated by Alex Pearson
References

Please e-mail comments to Alex Pearson.


  CONTENTS ARTICLES ESSAYS UNIT 1 UNIT 2 UNIT 3 UNIT 4 REFERENCES