1. Introduction To The Works Of Euclid Covers the life of Euclid and a discussion of Euclidean geometry. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Euclid's Geometry History And Practice EUCLID'S GEOMETRY History and Practice http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Biography Of Euclid Biography of Euclid Euclid (PORTRAIT 58K) lived in Alexandria, Egypt, around 300 B.C the content of the Elements, consisting of geometry http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Euclid's Elements, Introduction This dynamically illustrated edition of Euclid's Elements includes 13 books on plane geometry, geometric and abstract algebra, number theory http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Euclid's Elements, Table Of Contents Using the Geometry Applet. About the text. Euclid. A quick trip through the Elements. References to Euclid's Elements on the Web Subject http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. The Life Of Euclid When the king asked if there was an easier way to learn geometry Euclid said, "There is no royal road to geometry." Then he sent the king to http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Geometry: Euclid Geometry: Albert Einstein On Metaphysical Foundations Of Euclid Geometry, Euclid, Physics The Wave Structure of Matter (WSM) explains the Metaphysical Foundations of Euclid s Geometry. Matter Exists as Spherical Wave http://www.spaceandmotion.com/Physics-Geometry-Euclid.htm

SEARCH Summary Simple Science ... Email Geometry Euclid Geometry, Euclid Mathematician The Spherical Wave Structure of Matter (WSM) Explains the Metaphysical Foundations of Euclid's Geometry and Albert Einstein's Non-Euclidean Geometry From the latest results of the theory of relativity it is probable that our three dimensional space is also approximately spherical , that is, that the laws of disposition of rigid bodies in it are not given by Euclidean geometry but approximately by spherical geometry. (Albert Einstein, 1954) Introduction / Brief Summary ( by Philosopher of Science Geoff Haselhurst Email David Hume , 1737) And though the philosopher may live remote from business, the genius of philosophy, if carefully cultivated by several, must gradually diffuse itself throughout the whole society, and bestow a similar correctness on every art and calling. Gottfried Leibniz , 1670) It is a good thing to proceed in order and to establish propositions (principles). This is the way to gain ground and to progress with certainty. ... I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or

8. 10.8. Euclid (330?-275? B.C.) if there was some easier way to learn geometry than by learning all the theorems. Euclid replied, "There is no royal road to geometry" and sent http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Euclid's Geometry Euclid's Biography begun to read geometry with Euclid, when he had learnt the first theorem, asked Euclid, "what shall I get by learning these things?" Euclid http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Euclid's Life geometry would be different because as he basically invented geometry Euclid's Inventions http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Euclid begun to learn geometry with Euclid, when he had learnt the first theorem, asked Euclid "What shall I get by learning these things?" Euclid http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Euclid Geometry Elements Euclid's Century Alexandria euclid geometry Elements Euclid s Century Alexandria Economy. http://www.economicexpert.com/a/Euclid.htm

var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... Home First Prev [ 1 Next Last Euclid of Alexandria Greek Eukleides ) (circa BC) was a Greek mathematician , now known as "the father of geometry ". His most famous work is the Elements , widely considered to be history's most successful textbook. Within it, the properties of geometrical objects and integer s are deduced from a small set of axiom s, thereby anticipating (and partly inspiring) the axiomatic method of modern mathematics . Although many of the results in the Elements originated with earlier mathematicians, one of Euclid's major accomplishments was to present them in a single, logically coherent framework. He also provided some missing proof s. The text also includes sections on number theory and three-dimensional geometry. He is called the father of geometry. The geometrical system described in the Elements was long known simply as "the" geometry. Today, however, it is often referred to as

13. Biography Of Riemann or Elliptical Geometry, is one of the first types of noneuclid geometry. Riemann Geometry differs from euclid geometry because of Euclid s 5th and 2nd http://www.andrews.edu/~calkins/math/biograph/bioriema.htm

Back to the Table of Contents Biographies of Mathematicians - Riemann Riemann's Life Georg Friedrich Bernhard Riemann was born on September 17, 1826 in Breselenz, Germany to Georg Friedrich Bernhard Riemann and Charlotte Ebell. He grew up in the home of a pastor during a time of poverty. Along with his four siblings, he fought hunger and malnutrition. But despite all these problems, his family was close. Riemann's Most Famous Achievements Georg Friedrich Bernhard Riemann began his career by working on the theory of functions, but he is best remembered for his development of non-Euclidean geometry. This is used today in physics and in the relativity theory. He completed all of the following studies: developed the subjects of partial equations, complex variable theory, differential geometry, analytic number theory, and laid down the foundations for modern topography. The Riemann Hypothesis The Riemann Hypothesis states that the nontrivial roots of the Riemann zeta function (which is explained later in the web page) defined on the complex plane C all have real part 1/2. The line Re(z) equaling 1/2 is called the critical line. Or if you want the Riemann Hypothesis in plain English, all of the complex zeroes of the zeta function have real part 1/2. No one has solved has solved the hypothesis because it is terribly difficult and confusing. However, there are many ideas. One of the better ideas for proving the hypothesis was put forth by Polya and Hilbert. However the reasoning of solving the hypothesis is quite confusing.

14. Formal And Dialectical Logic As Unity Of Opposites. euclid geometry is based on assumption that through a given point not on a This postulate is qualitative ground on which euclid geometry was built. http://uweb.superlink.net/dialect/Logictheory.html

Formal and Dialectical Logic as Unity of Opposites. By Ilya Stavinsky Published in magazine PHILOSOPHICAL RESEARCHES, Moscow 11/2003 and in ECONOMIC GAZETA, Moscow, #40, 10/2003 Until now philosophers interpret formal and dialectical logic as separate logics independent of each other. For this reason some of them state that dialectical logic is more important than formal one, others state vice versa. For example, George Novack wrote:"...dialectics arose out of the criticism of formal logic, overthrew and replaced it as its revolutionary opponent, successor and superior." But there are some philosophers who completely denied dialectical logic. Even in Russia the latest completely excluded from the main course of study in many colleges and universities including economic faculty of Moscow State University. It is these circumstances forced me to write this article about the relation between formal and dialectical logic. The logic of the thought process divided itself into formal and dialectical one. They are defined only in relation to each other and only in that relation they have their meaning. They are defined as opposites where each of them conditions the existence of the other. To discover this interconnection is the goal of our further investigation. The Basics of Dialectical Logic.

15. Metting René THOM we had elementary euclid geometry ; my teacher was not particularly of that time that I defend the elementary euclid geometry against modernists. http://perso.wanadoo.fr/jacques.nimier/meeting_rene_thom.htm

Field medal award ( Nobel prize for mathmatics) ) How the motivation of a discipline fits the personality (Translation by Michel DURAND) Subtitles and bold types are of my own responsibility.The bold types indicate that what I mean as an emotional aspect, according to my point of view ,therefore belonging to the category of the " cognitive-emotional " interactions A nostalgia of the triangles era - N: .. Do you remember your early attempts in researches? - T: Yes, I translated all known theorems in geometry R3 to geometry R4 That was, if I dare to say, my first attempt to do something a little bit original; but it was for me a way to succeed in the understanding of how was made, let us say a system of two plans in R4 Etc. and I believe that I attained a very good intuition in that time, and I could already see a space in four dimensions when I was ten, or eleven years old. - N: And so , have you other remembrances of that period?

16. Gravitation euclid geometry non-euclid geometry- Riemann geometry To avoid Euclid s physical style of studying geometry, (such style is usually be limited by our http://krsna.lamost.org/physics/gravitation.htm

17. ETD-db: ETD Database Instead of the simplify of euclid geometry, features such as selfsimilarity, Chaotic Dynamics, boundless-branches, Unlimited Expansion and non-linear of http://thesis.lib.cycu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629104-170409

18. Quantum Mechanics - Re: Boundary Of The Universe..... PHYSICS & ASTRONOMY Three dimensional euclid geometry corresponds better the nature of the physical space than other geometries do. In cosmology physical space is experienced http://astronomyphysics.com/read.php?f=34&i=196&t=123

19. Euclid's Elements, Introduction This dynamically illustrated edition of euclid s Elements includes 13 books on plane geometry, geometric and abstract algebra, number theory, http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

Introduction New: Jaume Domenech Larraz has translated the Elements into Catalan at http://www.euclides.org/ 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, and all of the figures are illustrated using the Geometry Applet, even those in the last three books on solid geometry that are three-dimensional. I still have a lot to write in the guide sections and that will keep me busy for quite a while. This edition of Euclid's Elements uses a Java applet called the Geometry Applet to illustrate the diagrams. If you enable Java on your browser, then you'll be able to dynamically change the diagrams. In order to see how, please read

20. Introduction To The Works Of Euclid Covers the life of euclid and a discussion of euclidean geometry. http://www.obkb.com/dcljr/euclid.html

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 ... anchor here Outline of paper Introduction I. The Life of Euclid II. The Works of Euclid Other than the Elements ... Bibliography About this paper This is a paper I wrote in college for a History of Science course (although I've taken the liberty of modifying it slightly from time to time since I put it online). I know it's not publishable or anything, but it's still one of my favorite papers because it was so difficult to do. (I wrote it on a computer with about 12K of free RAM and only a cassette tape drive for storage!) In fact, the whole History of Science course was quite an experience. Students wishing to use this paper for their own reports on Euclid should know how to avoid plagiarism and how to cite online sources . In addition, I urge students to seek out the original printed sources yes, that means going to the library and not rely merely on what I say in this paper. (I'm always surprised by the number of junior high and high school students who e-mail me saying they can't find any information about Euclid!) Note that is used to denote square roots and all Greek letters used as symbols ( alpha beta , ...) are spelled out. Superscripts are implemented by using the appropriate HTML tags and may not display properly in some browsers. In this case, hopefully the meaning will be clear from the context.

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