1. Answers.com - Can You Prove The Theorem Of Pythagoras Pythagoras question Can you prove the theorem of pythagoras? there is no way of proving the past =) http://wiki.answers.com/Q/Can_you_prove_the_theorem_of_pythagoras

2. Theorem Of Pythagoras In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (rightangled triangle). http://www.kosmix.com/topic/theorem_of_pythagoras

Kosmix One sec... we're building your guide for Theorem of Pythagoras document.k_start_apptier = "Oct 31 01:06:49.429904"; kapp.assignCol($('ads_banner_top'), 'topnav_container'); Theorem Of Pythagoras Overview Shopping Images Video ... Reference kapp.nav_menu_container = $('refine_nav').down(".navs_container"); kapp.assignCol($('refine_nav'), 'topnav_container'); kapp.assignCol($('uc_kosmixarticles_shadow'), 'right_container'); Snapshot Wikipedia Wikipedia Reference from Wikipedia Pythagorean Theorem In mathematics, the Pythagorean theorem or Pythagoras theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation: where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

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4. Theorem Of Pythagoras Gives a geometric proof of the rule for measuring the sides of a right triangle. http://www.alphaquark.com/Traduction/Pythagore.htm

Pythagore Demonstration of the theorem homepage Source of this page Author : Thibaut Bernard Number of visitor Update: Monday 1th August 2005. Alphaquark author's Note : This page is a translation of with the help of Altavista translation I hope this translation is good, but if there are any errors, you can write me If this translation is successful, perhaps I will try to translate another document of Alphaquark Construction of the geometrical figure which will be used for the demonstration Let us take a rectangle of width A and height B. This rectangle which we make swivel of 90 o in the following way : For each rectangle, let us divide into two in the following way : Let us make swivel of 90 o the right-angled triangles in the following way yellow and purple : We thus find ourselves with four right-angled triangles. We note that one finds oneself with a square inside another. Demonstration Notation Let us take again our last diagram to indicate each sides by the following letters: One has four right-angled triangles of which : the side opposed by a

5. Pythagorean Theorem - Wikipedia, The Free Encyclopedia In mathematics, the Pythagorean theorem or Pythagoras theorem is a relation in Euclidean geometry among the three sides of a right triangle (rightangled http://en.wikipedia.org/wiki/Pythagorean_theorem

Pythagorean theorem From Wikipedia, the free encyclopedia Jump to: navigation search See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs ( a and b ) equals the area of the square on the hypotenuse ( c Trigonometry History Usage Functions ... Further reading Reference Identities Exact constants Trigonometric tables Laws and theorems Law of sines Law of cosines Law of tangents Pythagorean theorem Calculus Trigonometric substitution Integrals of functions Derivatives of functions ... e In mathematics , the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle right-angled triangle ). In terms of areas, it states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle The theorem can be written as an equation relating the lengths of the sides a b and c , often called the Pythagorean equation where c represents the length of the hypotenuse, and

6. The Theorem Of Pythagoras Brief description and proof of the Pythagorean theorem by dissection, based on squares of sum and difference http://www-istp.gsfc.nasa.gov/stargaze/Spyth.htm

Site Map Math Index Glossary Timeline ... #M-7. Trigonometry (M-6) The Theorem of Pythagoras Pythagoras of Samos was a Greek philosopher who lived around 530 BC, mostly in the Greek colony of Crotona in southern Italy. According to tradition he was the first to prove the assertion (theorem) which today bears his name: If a triangle has sides of length ( a,b,c ), with sides ( a,b ) enclosing an angle of 90 degrees ("right angle"), then a + b = c A right angle can be defined here as the angle formed when two straight lines cross each other in such a way that all 4 angles produced are equal. The theorem also works the other way around: if the lengths of the three sides ( a,b,c ) of a triangle satisfy the above relation, then the angle between sides a and b must be of 90 degrees. For instance, a triangle with sides a b c = 5 (inches, feet, meterswhatever) is right-angled, because a + b = 9 + 16 = 25 = c Ancient Egyptian builders may have known the (3,4,5) triangle and used it (with measured rods or strings) to construct right angles; even today builders may still nail together boards of those lengths to help align a corner. Many proofs exist and the easiest ones are probably the ones based on algebra, using the elementary identities discussed in the preceding section, namely

7. Pythagoras Theorem If we know the lengths of two sides of a right angled triangle, then Pythagoras Theorem allows us to find the length of the third side. http://www.mathsisfun.com/pythagoras.html

8. Pythagorean Theorem -- From Wolfram MathWorld Oct 11, 2010 The various proofs of the Pythagorean theorem all seem to require application of some version or consequence of the parallel postulate http://mathworld.wolfram.com/PythagoreanTheorem.html

9. Pythagorean Theorem - Math Open Reference Although Pythagoras name is attached to this theorem, it was actually known centuries before his time by the Babylonians. There are many proofs of this http://www.mathopenref.com/pythagorastheorem.html

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11. The Theorem Of Pythagoras Brief description and proof of the Pythagorean theorem. http://www-spof.gsfc.nasa.gov/stargaze/Spyth.htm

Site Map Math Index Glossary Timeline ... #M-7. Trigonometry (M-6) The Theorem of Pythagoras Pythagoras of Samos was a Greek philosopher who lived around 530 BC, mostly in the Greek colony of Crotona in southern Italy. According to tradition he was the first to prove the assertion (theorem) which today bears his name: If a triangle has sides of length ( a,b,c ), with sides ( a,b ) enclosing an angle of 90 degrees ("right angle"), then a + b = c A right angle can be defined here as the angle formed when two straight lines cross each other in such a way that all 4 angles produced are equal. The theorem also works the other way around: if the lengths of the three sides ( a,b,c ) of a triangle satisfy the above relation, then the angle between sides a and b must be of 90 degrees. For instance, a triangle with sides a b c = 5 (inches, feet, meterswhatever) is right-angled, because a + b = 9 + 16 = 25 = c Ancient Egyptian builders may have known the (3,4,5) triangle and used it (with measured rods or strings) to construct right angles; even today builders may still nail together boards of those lengths to help align a corner. Many proofs exist and the easiest ones are probably the ones based on algebra, using the elementary identities discussed in the preceding section, namely

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13. Pythagoras - Wikipedia, The Free Encyclopedia Pythagoras of Samos (c. 570c. 495 BC) was an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism. Most of the information about Pythagoras http://en.wikipedia.org/wiki/Pythagoras

Pythagoras From Wikipedia, the free encyclopedia Jump to: navigation search "Pythagoras of Samos" redirects here. For the Samian statuary, see Pythagoras (sculptor) For other uses, see Pythagoras (disambiguation) Pythagoras (Πυθαγόρας) Bust of Pythagoras of Samos in the Capitoline Museums Rome Full name Pythagoras (Πυθαγόρας) Born c. 570 BC Samos Island Died c. 495 BC (aged around 75) Metapontum Era Ancient philosophy Region Western philosophy School Pythagoreanism Main interests Metaphysics Music Mathematics Ethics ... Politics Notable ideas Musica universalis Golden ratio Pythagorean tuning Pythagorean theorem Influenced by Thales Anaximander Pherecydes Influenced Philolaus Alcmaeon Parmenides Plato ... Kepler Pythagoras of Samos Greek O Pythagoras o Samios , "Pythagoras the Samian ", or simply ; c. 570-c. 495 BC ) was an Ionian Greek philosopher mathematician , and founder of the religious movement called Pythagoreanism . Most of the information about Pythagoras was written down centuries after he lived, thus very little reliable information is known about him. He was born on the island of Samos , and may have travelled widely in his youth, visiting Egypt and other places seeking knowledge. He had a teacher named

14. 1300 A.C.: Theorem Of Pythagoras history philosophy religion science economy synchrony genealogical tables historical maps site map communications search home page http://www.maat.it/livello2-i/susa-pitagora-i.htm

HISTORY PHILOSOPHY RELIGION SCIENCE ... ITALIAN VERSION 1300 B.C. THE THEOREM OF PYTHAGORAS In the tablet, of which the translation is reported, it seems really that the theorem of Pythagoras is applied. In fact the calculation of the sides of a rectangle is exactly performed beginning from the knowledge of the diagonal (0,6666) and of the relationship existing between the width (W) and the length (L): W=L-L/4. Place: Susa (Mesopotamia) Epoch: 1300 b.C. - End of the I Dynasty of Babylon Tablet of Susa Problem We set that: - the width (of the rectangle) measures a quarter less in relationship to the length. Width = Length - Length/4 - the dimension of the diagonal is 0,6666. Diagonal = 0,6666 Which are the length and the width of the rectangle? Solution Set 1, the length, set 1 the prolongation. Arbitrary length = 1 0,25, the quarter, subtract from 1, you find 0,75. Arbitrary width = 1 - 0,25 = 0,75 Set 1 as length, set 0,75 as width, square 1, the length, you find 1. Square 0,75, the width, you find 0,5625.

15. Theorem Of Pythagoras A*a + B*b = C*c NTNUJAVA Virtual Physics Laboratory Physics Simulations to help you enjoy the fun of physics! http://www.phy.ntnu.edu.tw/java/abc/Pythagoras.html

NTNUJAVA Virtual Physics Laboratory Physics Simulations to help you enjoy the fun of physics! October 31, 2010, 03:06:53 PM Welcome, Guest . Please login or register Did you miss your activation email? 1 Hour 1 Day 1 Week 1 Month Forever Login with username, password and session length News : This site host hundreds of physics related java simulations under create common license. All registered user will be able to get files for offline use when user login and view the simulation. Switch to this new system on 2007/02/14. (previous system ) ,Check out Chinese forum to find more simulations and resources in Chinese. This topic This board Entire forum Home Help Search Login ... Register "Vision, mission and action." ...Wisdom NTNUJAVA Virtual Physics Laboratory Physics Simulations to help you enjoy the fun of physics! JDK1.0.2 simulations (1996-2001) Misc ... Theorem of Pythagoras a*a + b*b = c*c Pages: [ Go Down Print Author Topic: Theorem of Pythagoras a*a + b*b = c*c (Read 31384 times) Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).

16. Applying The Theorem Of Pythagoras. Applying the theorem of Pythagoras 2005 CASIO Computer Co., LTD. All Right Reserved. Page G0101- 1 - Applying the theorem of Pythagoras. http://www.ajasto.fi/images/casio/pdf/G01-01A_pythag.pdf

17. Pythagorean Theorem And Its Many Proofs 88 proofs of the Pythagorean theorem squares on the legs of a right triangle add up to the square on the hypotenuse. http://www.cut-the-knot.org/pythagoras/

18. Math Concepts Explained: Trigonometry - Cosine Law, Theorem Of Pythagoras Math Concepts Explained Your free online math tutor, explaining mathematics concepts that commonly give students the most difficulties. http://sk19math.blogspot.com/2007/04/trigonometry-cosine-law.html

Math Concepts Explained Explaining mathematics concepts that commonly give students the most difficulties. Welcome! Hello, and welcome to my site! Here, I will be your online math tutor (free!), as I attempt to explain several math concepts that traditionally give students the most problems. I have found that these difficulties do not necessarily arise from problems with the student's comprehension, but rather are a result of poor teaching of the concepts by the teachers. I am going to try to explain these concepts as simply as possible, using lots of examples that demonstrate key points, in the hopes that these concepts will become clearer and enable the student to advance to higher levels. If there is a concept that you need help with, but don't see it posted yet, feel free to leave a comment, and I will try to post something as soon as possible. Other questions, success stories, or comments on how to improve the site are all welcome as well! Thanks for visiting, and good luck in your studies! What are you trying to find? Search my site from here!

19. The Theorem Of Pythagoras The theorem of Pythagoras is one of the earliest and most important results in the history of mathematics. It has immense practical value and led to the discovery of irrational http://www.math.uwaterloo.ca/navigation/ideas/grains/pythagoras.shtml

/* Changed to use separate display and positioning CSS March 28 2007 */ @import url("/coreTemplates/CSSFiles/layout/positioning2Col.css"); @import url("/coreTemplates/CSSFiles/display/fontDefaults.css"); @import url("/coreTemplates/CSSFiles/display/MathExtraFonts.css"); @import url("/coreTemplates/CSSFiles/print/MathPrint.css") print; @import url("/coreTemplates/CSSFiles/mobile/MathMobile.css") handheld; Search Math uwaterloo.ca Math Home About Math Depts,Schools and Programs Graduate Studies and Research ... UW Home Pythagoras (fl. 500 BCE) The theorem of Pythagoras is one of the earliest and most important results in the history of mathematics. It has immense practical value and led to the discovery of irrational numbers - a right triangle with unit sides leads via Pythagoras to the square root of 2! For further history: St. Andrews' history of Mathematics site Theorem of Pythagoras Given any right angle triangle, if one forms a square on each side of that triangle then the area of the largest square (that of the hypoteneuse) is equal to the sum of the areas of the two smaller squares (those which are formed on the sides about the right or 90 degree angle). Proof of the theorem is demonstrated through the following Quicktime animation. Use the controls to animate the movie.

20. 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:

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