Euclid’s “Elements” Redux

""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //(http://starrhorse.com/euclid/) starrhorse.com/euclid/ Contents Chapter 0. About this project 6 0.1. Contributors & Acknowledgments 7 0.2. Dedication 8 0.3. About Euclid’s “Elements” 8 0.4. Open Textbooks 14 0.5. Recommended Reading 18 Chapter 1. Angles, Parallel Lines, Parallelograms 20 1.1. Definitions 21 1.2. Postulates 29 1.3. Axioms 29 1.4. Explanation of Terms 31 1.5. Propositions from Book I: 1-26 33 1.6. Propositions from Book I: 27-48 78 Chapter 2. Rectangles 120 2.1. Definitions 120 2.2. Axioms 121 2.3. Propositions from Book II 122 Chapter 3. Circles 143 3.1. Definitions 143 3.2. Propositions from Book III 148 Chapter 4. Inscription and Circumscription 217 4.1. Definitions 217 4.2. Propositions from Book IV 218 Chapter 5. Theory of Proportions 249 5.1. Definitions 249 5.2. Propositions from Book V 255 Chapter 6. Applications of Proportions 262 6.1. Definitions 262 6.2. Propositions from Book VI 265 Chapter 7. Infinite Primes 342 7.1. Definitions 342 4