41. Session 6 The Pythagorean Theorem Pythagorean theorem •theorem Introduction In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics the http://www.learner.org/courses/learningmath/geometry/support/lmg6.pdf

42. The Famous Twin Theorems Of Ceva And Menelaus Can Be Stated File Format PDF/Adobe Acrobat Quick View http://www.mth.kcl.ac.uk/~jrs/gazette/ceva.pdf

43. The Pythagorean Theorem by SJ Morris Cited by 1 - Related articles http://jwilson.coe.uga.edu/emt669/student.folders/morris.stephanie/emt.669/essay

Department of Mathematics Education J. Wilson, EMT 669 The Pythagorean Theorem by Stephanie J. Morris The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students. The Pythagorean Theorem is Pythagoras' most famous mathematical contribution. According to legend, Pythagoras was so happy when he discovered the theorem that he offered a sacrifice of oxen. The later discovery that the square root of 2 is irrational and therefore, cannot be expressed as a ratio of two integers, greatly troubled Pythagoras and his followers. They were devout in their belief that any two lengths were integral multiples of some unit length. Many attempts were made to suppress the knowledge that the square root of 2 is irrational. It is even said that the man who divulged the secret was drowned at sea. The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that:

44. L6 Some Famous Theorems In Geometry L6 Some Famous Theorems in Geometry *The Greek word theorem is related to theater and means something seen, or in mathematics an insight or an understanding. http://kirkwoodschools.org/faculty/capassm/upload/48c91972b37b0.doc

<2 and <3 are angles in a triangle then <3 = 180o. Two Circle Theorems If d is the diameter of a circle then the circumference is #$Ç       + a b ¨ © î ï ~€„468:>@DFJLRTøðøèßèßèßè×è×Î×Î×Ì×Ä×Î×Ĺ®¦¢¦¢¦¢¦¢®hœGµjhœGµU hF>yhF>yCJ4aJ4hRi´hRi´CJ4aJ4h²bìCJ4aJ4U h*rCJ4H* aJ4h*rCJ4aJ4hRi´CJ4H* aJ4hRi´CJ4aJ4hÂoFCJ4aJ4hF>yCJ4aJ4#$ãäE F [ Ç b c d e „ « Ü ñ ò ó „†468

45. Letter From Here: UW Math Professor Jordan Ellenberg Puts Gödel's Famous Theore Aug 12, 2007 Not sure what Gödel s famous Incompleteness theorem actually says? Read the whole piece. It s very readable, and Ellenberg does a great job http://letterfromhere.blogspot.com/2007/08/uw-math-professor-jordan-ellenberg-pu

var BL_backlinkURL = "http://www.blogger.com/dyn-js/backlink_count.js";var BL_blogId = "22968978"; Letter from Here Where is here? Everywhere. Nowhere. Out there. Sunday, August 12, 2007 UW math professor Jordan Ellenberg puts Gödel's famous theorem in its place I came across a wonderful piece of math writing for a lay audience this weekend by Slate's math columnist Jordan Ellenberg " Does Gödel Matter? The romantic's favorite mathematician didn't prove what you think he did. Gödel's theorem, for most working mathematicians, is like a sign warning us away from logical terrain we'd never visit anyway. What is it about Gödel's theorem that so captures the imagination? Probably that its oversimplified plain-English form—"There are true things which cannot be proved"—is naturally appealing to anyone with a remotely romantic sensibility. Call it "the curse of the slogan": Any scientific result that can be approximated by an aphorism is ripe for misappropriation. The precise mathematical formulation that is Gödel's theorem doesn't really say "there are true things which cannot be proved" any more than Einstein's theory means "everything is relative, dude, it just depends on your point of view." And it certainly doesn't say anything directly about the world outside mathematics, though the physicist Roger Penrose does use the incompleteness theorem in making his controversial case for the role of quantum mechanics in human consciousness. Yet, Gödel is routinely deployed by people with antirationalist agendas as a stick to whack any offending piece of science that happens by. A typical recent article, "

46. Fermat's Last Theorem | Facebook It is among the most famous theorems in the a href= /pages/w/107833722578774 history of mathematics /a and prior to its 1995 proof was in the a http://www.facebook.com/pages/Fermats-Last-Theorem/104143812954928

61 people like this. to connect with Wall Info Fan Photos Just Others changed their Description September 23 at 11:41pm joined Facebook. March 26 at 10:56pm See More Posts English (US) Español More… Download a Facebook bookmark for your phone. Login Facebook ©2010

47. The Thirty Greatest Mathematicians Perhaps his three most famous theorems are the PonceletSteiner Theorem (lengths constructible with straightedge and compass can be constructed with straightedge alone as long as http://james.fabpedigree.com/mathmen.htm

The Greatest Mathematicians of All Time (This is the long page. Click here for just the List, with links to the biographies. Isaac Newton Carl Gauss Archimedes Leonhard Euler Euclid Bernhard Riemann David Hilbert J.-L. Lagrange G.W. Leibniz Alex. Grothendieck Pierre de Fermat The Greatest Mathematicians of All Time (born before 1930) ranked in approximate order of "greatness." To qualify, the mathematician's work must have breadth depth , and historical importance Isaac Newton Carl F. Gauss Archimedes Leonhard Euler ... Eudoxus of Cnidus Pythagoras of Samos At some point a longer list will become a List of Great Mathematicians rather than a List of Great est Mathematicians. I've expanded the List to Ninety, but you may prefer to reduce it to a Top Seventy, Top Sixty, Top Fifty, Top Forty or Top Thirty list, or even Top Twenty, Top Fifteen or Top Ten List. Or you may want to add candidates of your own and build your own Top Hundred List. Blaise Pascal Apollonius of Perga Pierre-Simon Laplace William R. Hamilton Charles Hermite Felix Christian Klein ... Diophantus of Alexandria George Boole Ferdinand Eisenstein Andrey N. Kolmogorov

48. Famous Women Mathematicians One of the famous theorems of physics Noether s Theorem , connecting conservation laws and symmetry was proposed by Noether. These were some of the famous http://www.buzzle.com/articles/famous-women-mathematicians.html

Home World News Latest Articles Escape Hatch ... Endless Buzz Famous Women Mathematicians The field of mathematics has seen some outstanding women power. Here are some contributions of the 'geniuses' who made their mark in this intellectual field. Enlarge Image Women pursued mathematics, science and philosophy, early in the twentieth century. I have tried to name some and present their greatness in the paragraphs to come: Hypatia Hypatia was the first recognized women mathematician . She was born in Alexandria, Egypt, around 350AD and was a recognized scholar. Besides being a mathematician, she was an astute astronomer and a philosopher. She believed in the theories of Plato and Aristotle . An angry Christian mob killed her in, either the year 370 AD or the year 415 AD. There is still much confusion and debate on the exact year of her demise. Her immortal contributions to the mathematical world, paved the way for inexhaustible research on many topics. Her major works are as follows: She wrote a commentary on the 13th volume of the famous Greek mathematics text book, 'Artihmetica'. She edited Ptolemy's famous version of the 'Almagest'.

49. Mathematical Mountaintops: The Five Most Famous Problems Of All Time By John L C Powell's Books is the largest independent used and new bookstore in the world. We carry an extensive collection of out of print rare, and technical titles as well as many other new http://www.powells.com/cgi-bin/biblio?isbn=0195141717

50. The Three Papers That Follow Prove Ve Famous Theorems Of V. A. Rok File Format Adobe PostScript View as HTML http://siba-sinmemis.unile.it/journals/ZPOMI/v267/p273.ps.gz

51. The Hypotenuse Of A Right Triangle Name Phillipe Who is asking Student Question how do you find the hypotenuse of a right triangle? Hi Phillipe, One of the most famous theorems on mathematics is the Theorem of http://mathcentral.uregina.ca/QQ/database/QQ.09.00/phillipe1.html

Name: Phillipe Who is asking: Student Question: how do you find the hypotenuse of a right triangle? Hi Phillipe, One of the most famous theorems on mathematics is the Theorem of Pythagoras. This theorem tells you the relationship among the three sides of a right triangle. In a right triangle, the side opposite the right angle is called the hypotenuse. If the lengths of the sides of a right triangle are a, b and c where c is the length of the hypotenuse as in the diagram above, then the Theorem of Pythagoras says that a + b = c Thus, for example if a = 5 and b = 12 then c and hence c = 13. Cheers, Penny Go to Math Central

52. Encyclopedia4U - Mathematics - Encyclopedia Article by B Russell Related articles http://www.encyclopedia4u.com/m/mathematics.html

ENCYCLOPEDIA U com Lists of articles by category ... Encyclopedia Home Page Web Encyclopedia4u.com Mathematics Mathematics is commonly defined as the study of patterns of structure, change, and space. In the modern formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation . Mathematics is often abbreviated to math in North America and maths in other English-speaking countries. These specific structures investigated often have their origin in the natural sciences , most commonly in physics , but mathematicians also define and investigate structures for reasons purely internal to mathematics, because the structures may provide, for instance, a unifying generalization for several subfields, or a helpful tool for common calculations. Finally, many mathematicians study the areas they do for purely aesthetic reasons, viewing mathematics as an art form rather than as a practical or applied science Table of contents showTocToggle("show","hide") 1 History of mathematics 2 Topics in mathematics 2.1 Quantity 2.2 Change ... 5.11 External links History of mathematics See the article on the history of mathematics for details.

53. Kurt Gödel Philosophy: Czech-American Logician And Philosopher Famous For Göde Nov 14, 2009 Gödel is best known for his two incompleteness theorems, published in 1931 when he was 25 years of age, a year after finishing his doctorate http://www.suite101.com/content/kurt-goedel-philosophy-a169534

54. The Pythagorean Theorem In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics the Pythagorean theorem. http://www.learner.org/channel/courses/learningmath/geometry/session6/index.html

In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics: the Pythagorean theorem. Proof is an essential part of mathematics, and what separates it from other sciences. Mathematicians start from assumptions and definitions, then follow logical steps to draw conclusions. If the assumptions are correct and the steps are indeed logical, then the result can be trusted and used to prove further results. When a result has been proved, it becomes a theorem. For information on required and/or optional materials for this session, see Note 1 Part A: The Pythagorean Theorem Part B: Proving the Pythagorean Theorem Part C: Applications of the Pythagorean Theorem Homework In this session, you will learn how to do the following: Examine different formal proofs of the Pythagorean theorem Examine some applications of the Pythagorean theorem, such as finding missing lengths Learn how to derive and use the distance formula Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.

55. Reciprocity Laws And Density Theorems File Format Adobe PostScript View as HTML http://www.math.harvard.edu/~rtaylor/shaw.ps

56. Fermat's Last Theorem. Treasured Found. Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. Despite how closely the problem is related to the Pythagorean theorem http://agutie.homestead.com/files/world_news_map/fermat_last_theorem_1.htm

57. Sporcle - Mentally Stimulating Diversions Can you name the the following famous mathematical theorems? created by mdmd249. Enter an answer in the box below; Correctly named answers http://www.sporcle.com/games/mdmd249/math_theorems

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58. Discovering Pythagorean Triples - For Dummies The Pythagorean Theorem is certainly one of the most famous theorems in all of mathematics. Mathematicians and lay people alike have studied it for centuries, and people http://www.dummies.com/how-to/content/discovering-pythagorean-triples.html

Dummies.com - Making Everything Easier Advertisement See All Topics Consumer Electronics Internet Personal Finance ... Print Share This Discovering Pythagorean Triples By Mark Ryan The Pythagorean Theorem is certainly one of the most famous theorems in all of mathematics. Mathematicians and lay people alike have studied it for centuries, and people have proved it in many different ways. (Even President James Garfield was credited with a new, original proof.) So without further ado, here it is: The Pythagorean Theorem: The sum of the squares of the legs (the two shortest sides) of a right triangle is equal to the square of the hypotenuse (the longest side). Pythagorean triple. Pythagorean Triple: A Pythagorean triple (like 3-4-5) is a set of three whole numbers that work in the Pythagorean Theorem and can thus be used for the three sides of a right triangle. A family of right triangles is associated with each Pythagorean triple. For example, the 5 13 family consists of the 5-12-13 triangle and all other triangles of the same shape that you'd get by shrinking or blowing up the 5-12-13 triangle. Just multiply the length of each side by the same number. For example, multiply each side by 0.5 and you get a 2.5-6-6.5 triangle. Or you can quadruple each side and get a 20-48-52 triangle. Understanding the Pythagorean triple families of triangles is important because they come up in so many right triangle problems.

59. This Is A Paper In Whiuch Several Famous Theorems Are Poven By File Format Adobe PostScript View as HTML http://www.math.purdue.edu/~gottlieb/Papers/hattori.ps

60. Generalizing Some Well Known Congruences Using Burnside's Theorem Aug 6, 2009 Number theory and abstract algebra students are exposed to famous congruence theorems such as Fermat s little theorem and Wilson s theorem. http://www.allacademic.com/meta/p377738_index.html

document.write("first");document.write("previous");document.write("top");document.write("next");document.write("last"); FAQ Research All Academic Inc. Citation Generalizing Some Well Known Congruences Using Burnside's Theorem Abstract Word Stems Keywords ... Similar Titles Abstract: Number theory and abstract algebra students are exposed to famous congruence theorems such as Fermat's little theorem and Wilson's theorem. Each of these theorems state that a certain integer valued sum is always divisible by a prime integer. In this talk, we will use some elementary actions by finite cyclic groups and Burnside's theorem to derive generalizations of the aforementioned theorems to the case of an arbitrary positive integer divisor. Convention All Academic Convention can solve the abstract management needs for any association's annual meeting. Submission - Custom fields, multiple submission types, tracks, audio visual, multiple upload formats, automatic conversion to pdf. Review - Peer Review, Bulk reviewer assignment, bulk emails, ranking, z-score statistics, and multiple worksheets! Reports - Many standard and custom reports generated while you wait. Print programs with participant indexes, event grids, and more!

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