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Euclid

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Euclid

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Welcome to the Platonic Solids as Demonstrated in Euclid's Elements This site demonstrates the construction of the five Platonic Solids from Chapter 13 of Euclid's Elements . This project has brought forth much philosophizing on the nature of the Internet, Geometry, and the world, and how we orient ourselves in it. In order to orient yourself, we recommend taking a look at how to best view the site, and to take a look at the resources available on Euclid on the WWW. Enjoy. Prop 13 -the pyramid Prop 14 - the octahedron Prop 15 - the cube Prop 16 - the icosahedron Prop 17 - the dodecahedron A Glossary Of Terms Read More
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Euclid's Elements, Introduction

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Introduction Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. I'm creating this version of Euclid's Elements for a couple of reasons. The main one is to rekindle an interest in the Elements, and the web is a great way to do that. Another reason is to show how Java applets can be used to illustrate geometry. That also helps to bring the Elements alive. The text of all 13 Books is complete, an Read More
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Introduction to the works of Euclid

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An Introduction to the Works of Euclid with an Emphasis on the Elements (first posted to the web in 1995) jump to: outline of paper | text of paper | suggestions for further study | bibliography | bottom of page [ anchor here ] Outline of paper Introduction I. The Life of Euclid II. The Works of Euclid Other than the Elements Extant Works Lost Works Questionable Works III. The Structure of the Elements Definitions, Postulates, and Axioms Propositions Parts of a Proposition Sample Proposition from Book I Porisms and Lemmas Overview of the Thirteen Books of the Elements Dependencies Among the Books of the Elements IV. The Contents of the Elements Book I Definitions of Book I Postulates and Axioms of Book I Propositions of Book I Book II Book III Book IV Book V Book VI Book VII Book VIII Book Read More
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