Euclid's Elements Redux
Daniel Callahan
Euclid's Elements Redux
Free
Description
Contents
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"Euclid's 'Elements' Redux" is an open textbook on mathematical logic and geometry based on Euclid's "Elements" for use in grades 7-12 and in undergraduate college courses on proof writing. The current edition is based on John Casey's "The First Six Books of Euclid".



Many problem solvers throughout history wrestled with Euclid as part of their early education including Copernicus, Kepler, Galileo, Sir Isaac Newton, Abraham Lincoln, Bertrand Russell, and Albert Einstein. This edition is part of an effort to ensure that tomorrow's great thinkers will have that same privilege.


Online version and links to print at the book's website.

Language
English
ISBN
Unknown
Part 1. Introduction
Chapter 1. About this project
1.1. Contributors & Acknowledgments
1.2. Dedication
Chapter 2. About Euclid's ``Elements''
2.1. History
2.2. Influence
2.3. Outline of Elements
2.4. Euclid's method and style of presentation
Chapter 3. Open Textbooks
3.1. Usage Rights
3.2. Open Licenses
3.3. Affordability
3.4. Milestones
3.5. Instruction
3.6. Authorship
3.7. Projects
Chapter 4. Recommended Reading
Part 2. The ``Elements''
Chapter 1. Angles, Parallel Lines, Parallelograms
1.1. Definitions
1.2. Postulates
1.3. Axioms
1.4. Explanation of Terms
1.5. Propositions from Book I: 1-26
1.6. Propositions from Book I: 27-48
Chapter 2. Rectangles
2.1. Definitions
2.2. Axioms
2.3. Propositions from Book II
Chapter 3. Circles
3.1. Definitions
3.2. Propositions from Book III
Chapter 4. Inscription and Circumscription
4.1. Definitions
4.2. Propositions from Book IV
Chapter 5. Theory of Proportions
5.1. Definitions
5.2. Propositions from Book V
Chapter 6. Applications of Proportions
6.1. Definitions
6.2. Propositions from Book VI
Chapter 7. Infinite Primes
7.1. Definitions
7.2. The Proposition
Chapter 8. Planes, coplanar lines, and solid angles
8.1. Definitions
8.2. Propositions from Book XI: 1-21
Part 3. Student Answer Key
Chapter 1. Solutions: Angles, Parallel Lines, Parallelograms
Chapter 2. Solutions: Rectangles
Chapter 3. Solutions: Circles
Chapter 4. Solutions: Inscription & Circumscription
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