81. Encyclopedia: Pythagoras Whether or not we attribute the Pythagorean theorem to pythagoras, it seems fairlycertain that he had the pioneering insight into the numerical ratios http://www.nationmaster.com/encyclopedia/Pythagoras

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Pythagoras" also viewed: Pythagoreanism Pythagoreans Pythagorean theorem Pythagorean ... 12th century BCE What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Sean Baker Sea of Marmara Scrambled eggs Scouting ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Pythagoras Updated 1 day 2 hours 19 minutes ago. Other descriptions of Pythagoras Pythagoras 582 BC 496 BC Greek : Î Ï Î¸Î±Î³ÏŒÏÎ±Ï‚) was an Ionian mathematician and philosopher , known best for formulating the Pythagorean theorem Centuries: 7th century BC - 6th century BC - 5th century BC Decades: 620s BC - 610s BC - 600s BC - 590s BC - 588s BC - 570s BC - 560s BC - 550s BC - 540s BC - 530s BC Events and trends 589 BC - Apries succeeds Psammetichus II as king of Egypt 588 BC - Nebuchadnezzar II of Babylon... Centuries: 6th century BC - 5th century BC - 4th century BC Decades: 540s BC 530s BC 520s BC 510s BC 500s BC - 490s BC - 480s BC 470s BC 460s BC 450s BC 440s BC Years: 499 BC 498 BC 497 BC - 496 BC - 495 BC 490 BC 489 BC 488 BC... The Ionians were one of the ancient Greek ethnic groups, somewhat larger than a tribe, but identified by the other groups as speaking their own dialect. ...

82. Pythagorean Theorem - Definition Of Pythagorean Theorem In Encyclopedia In mathematics, the Pythagorean theorem or pythagoras s theorem, is a relationin Euclidean geometry between the three sides of a right triangle. http://encyclopedia.laborlawtalk.com/Pythagorean_theorem

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law In mathematics , the Pythagorean theorem or Pythagoras's theorem , is a relation in Euclidean geometry between the three sides of a right triangle. The theorem is named after and commonly attributed to the 6th century BC Greek philosopher and mathematician Pythagoras , although the facts of the theorem were known by Indian Greek Chinese and Babylonian mathematicians well before he lived. The first known proof of the Pythagorean theorem can be found in Euclid's Elements Contents showTocToggle("show","hide") 1 The theorem 2 A visual proof 3 The converse 4 Generalizations ... 7 External links The theorem The Pythagorean theorem states: The sum of the areas of the squares on the legs of a right triangle is equal to the area of the square on the hypotenuse. A right triangle is a triangle with one right angle ; the legs are the two sides that make up the right angle, and the hypotenuse is the third side opposite the right angle. In the picture below, a and b are the legs of a right triangle, and

83. Pythagorean Theorem - Linix Encyclopedia In mathematics, the Pythagorean theorem or pythagoras s theorem, is a relationin Euclidean pythagoras perceived the theorem in this geometric fashion, http://web.linix.ca/pedia/index.php/Pythagorean_theorem

Pythagorean theorem Missing image Pythagoras_theorem_leonardo_da_vinci.png There are thousands of proofs of the Pythagorean theorem. This one is attributed to Leonardo da Vinci In mathematics , the Pythagorean theorem or Pythagoras's theorem , is a relation in Euclidean geometry between the three sides of a right triangle. The theorem is named after and commonly attributed to the 6th century BC Greek philosopher and mathematician Pythagoras , although the facts of the theorem were known by Indian Baudhayana 's and Katyayana's Sulbasutras), Greek Chinese and Babylonian mathematicians well before he lived. Two contemporary proofs can be considered the oldest record of the Pythagorean theorem: one to be found in Chou Pei Suan Ching (The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven, ca. 500-200 B.C., see image below), the other in the Euclid's Elements Table of contents showTocToggle("show","hide") 1 The theorem 2 A visual proof 3 The converse 4 Generalizations ... edit The theorem The Pythagorean theorem states: The sum of the areas of the squares on the legs of a right triangle is equal to the area of the square on the hypotenuse.

84. Pythagorean Theorem pythagoras, for whom the famous theorem is named, lived during the 6th centuryBC on the island of Samos in the Aegean Sea, in Egypt, in Babylon and in http://scidiv.bcc.ctc.edu/Math/Pythagoras.html

The Pythagorean Theorem Pythagoras, for whom the famous theorem is named, lived during the 6th century B.C. on the island of Samos in the Aegean Sea, in Egypt, in Babylon and in southern Italy. Pythagoras was a teacher, a philosopher, a mystic and, to his followers, almost a god. His thinking about mathematics and life was riddled with numerology. The Pythagorean Theorem exhibits a fundamental truth about the way some pieces of the world fit together. Many mathematicians think that the Pythagorean Theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics, such as Fermat's Last Theorem and the theory of Hilbert space. The Pythagorean Theorem asserts that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a b c The figure above at the right is a visual display of the theorem's conclusion. The figure at the left contains a proof of the theorem, because the area of the big, outer, green square is equal to the sum of the areas of the four red triangles and the little, inner white square: c ab a b ab a ab b a b Math Homepage BCC Homepage

85. Pythagorean Theorem Pythagorean theorem. Java applet can t run Your browser is not Java Reference pythagoras theorem OYA, Shinichi, 1975, Tokai University Press. http://www.frontiernet.net/~imaging/pythagorean.html

Pythagorean Theorem Java applet can't run : Your browser is not Java enabled. Java applet can't run : Your browser is not Java enabled. Drag the red point. Press "Define" button. Drag five pieces of quadrilaterals to fit in the square below. Select a rectangle by clicking on the "green" or "pink" radio button. Select the transformation from "shift", "rotate", and "move". shift Drag the red points on the sides. rotate Drag the red points on the vertices. Rotates around the opposite vertex. move Drag the central red point. Reference "Pythagoras Theorem" OYA, Shinichi, 1975, Tokai University Press. The above applets, images, and text were created by IES Inc (International Education Software ), a producer of educational software in Japan. Manipula Math with Java is a collection of more than 70 applets illustrating mathematical concepts including Trigonometry and Calculus created by IES Inc. "Imaging the Imaginged" (this site) mirrors these two applets, presenting them as excellent examples of using graphics, interaction, and Java for providing an enhanced educational experience efficiently and effectively using the combined power of the internet, Java, and the machine you are now using. I've written an Interactive Quadric Surface Rendering I've mirrored these applets to facilitate faster access to them for users here in the United States and to present them in the slightly modified context with a greater emphasis on the the advantages of using graphics and interaction

86. Pythagorean Theorem -- Facts, Info, And Encyclopedia Article pythagoras perceived the theorem in this (Click link for more info and factsabout geometric) geometric fashion, as a statement about areas of squares http://www.absoluteastronomy.com/encyclopedia/p/py/pythagorean_theorem.htm

Pythagorean theorem [Categories: Triangles, Theorems, Euclidean geometry] In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics , the Pythagorean theorem or Pythagoras's theorem , is a relation in (Geometry based on Euclid's axioms: e.g., only one line can be drawn through a point parallel to another line) Euclidean geometry between the three sides of a right triangle. The theorem is named after and commonly attributed to the 6th century BC Greek (A specialist in philosophy) philosopher and (A person skilled in mathematics) mathematician (Greek philosopher and mathematician who proved the Pythagorean theorem; considered to be the first true mathematician (circa 580-500 BC)) Pythagoras , although the facts of the (An idea accepted as a demonstrable truth) theorem were known by (A republic in the Asian subcontinent in southern Asia; second most populous country in the world; achieved independence from the United Kingdom in 1947) India n ( (Click link for more info and facts about Baudhayana) Baudhayana 's and Katyayana's Sulbasutras)

87. Pythagoras' Theorem Use the Pythagorgrams widget to undestand what pythagoras theorem says and Now, without using pythagoras theorem again, how long is the diagonal of a http://thejuniverse.org/Mathdesign/widgets/Pythagoras/

Pythagoras' Theorem Use the Pythagorgrams widget to undestand what Pythagoras' theorem says and why it works. Then try the pencil and paper problems. Pencil and Paper Problems 1. i) A right-angled triangle has shorter sides of lengths 2 and 5; how long is its hypotenuse? ii) A right-angled triangle has hypotenuse of length 4 and one side of length 2; how long is the other side? iii ) A triangle has two sides of lengths 5 and 6 and area 9. How long is the third side? [There are two possible answers.] 2. How long is the diagonal of a square with sides of length 1? Now, without using Pythagoras' theorem again , how long is the diagonal of a square with sides of length 13579? How long is the diagonal of a square with sides of length s? 3. How long is an altitude of an equilateral triangle with sides of length 2? Without using Pythagoras' theorem again, how long is an altitude of an equilateral triangle with sides of length 24680?

88. Pythagoras Theorem Math explained in easy language, plus puzzles, games, quizzes, worksheets and aforum. For K12 kids, teachers and parents. http://www.mathsisfun.com/pythagoras.html

HOME A-Z Listing Maths Menus Handling Data Miscellaneous Puzzles Calculators TI Calculators Computer Programs Winlogo Programs Other Bits Math Forum Contact Us About Us Privacy Statement MathsIsFun.com Pythagoras' Theorem Years ago, a man named Pythagoras found an amazing fact about triangles: ... and you made a square on each of the three sides, then ... ... the biggest square had the exact same area as the other two squares put together! The longest side of the triangle is called the "hypotenuse", so the formal definition is: In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let's see if it really works using an example. A "3,4,5" triangle has a right angle in it, so the formula should work. Let's check if the areas are the same: Calculating this becomes: yes, it works ! Why Is This Useful? 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 . (But it only works on right angled triangles!)

89. Babylonian Pythagoras four Babylonian tablets which all have some connection with pythagoras s theorem.Certainly the Babylonians were familiar with pythagoras s theorem. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Babylonian_Pythagoras.htm

Pythagoras's theorem in Babylonian mathematics Babylonian index History Topics Index Version for printing Pythagoras's theorem in Babylonian mathematics In this article we examine four Babylonian tablets which all have some connection with Pythagoras 's theorem. Certainly the Babylonians were familiar with Pythagoras 's theorem. A translation of a Babylonian tablet which is preserved in the British museum goes as follows:- is the length and the diagonal. What is the breadth Its size is not known. times is times is You take from 25 and there remains What times what shall I take in order to get times is is the breadth. All the tablets we wish to consider in detail come from roughly the same period, namely that of the Old Babylonian Empire which flourished in Mesopotamia between 1900 BC and 1600 BC. Here is a map of the region where the Babylonian civilisation flourished. The article Babylonian mathematics gives some background to how the civilisation came about and the mathematical background which they inherited. The four tablets which interest us here we will call the Yale tablet YBC 7289, Plimpton 322 (shown below), the Susa tablet, and the Tell Dhibayi tablet. Let us say a little about these tablets before describing the mathematics which they contain.

90. MathsNet: Interactive Pythagoras's Theorem MathsNet Interactive pythagoras s theorem a collection of resources for education,aimed at students, teachers and anyone else. http://www.mathsnet.net/dynamic/pythagoras/

part of This is the Interactive Pythagoras's Theorem website Pythagoras Most, if not all, of the facts about Pythagoras are disputed by historians. He did not write anything himself so all information has been provided by others - either his followers or later historians. The following is agreed by many to be approximately true! Pythagoras was born about 569 BC in Samos, Ionia and died about 475 BC. Pythagoras argued that there are three kinds of men. The lowest consists of those who come to buy and sell, and next above them are those who come to compete. Best of all are those who simply come to look on. These pages explain the famous mathematical result known as Pythagoras's Theorem , give you various interactive proofs of the theorem, problems based on the theorem, and mathematical things related to the theorem.

91. The Pythagorean Theorem however, the theorem has been creditedin western culture to pythagoras of how pythagoras originally proved the theorem, but here are three ways. http://www.perseus.tufts.edu/GreekScience/Students/Tim/Pythag'sTheorem.html

The Pythagorean Theorem The Pythagorean Theorem is one of Euclidean Geometry's most beautiful theorems. It is simple, yet obscure, and is used continuously in mathematics and physics. In short, it is really cool. Evidence of the theorem can be traced far back into Egyptian history with the help of the Rhind Papyrus(1788-1580 BC). The Rhind Papyrus itself claims to be a copy of an earlier work, possibly dating as far back as 2000 BC. The use of the 3-4-5 triangles(9+16=25) to construct perfect right angles, indeed seems to have been a very common practice, long ago. Unfortunately, little information predates the Greeks, so this will probably remain another mystery of the Egyptians. Traditionally, however, the theorem has been credited[in western culture] to Pythagoras of Samos . The legend has it that he was so excited by its proof that he sacrificed a bull for the occasion, even though Pythagoreans were against animal sacrifice. Unfortunately, there are only legends. The Pythagorean School, which gets its name from its founder, was a secret cult. They regarded their knowledge as something to be kept from all outsiders. Thus, they did not write things down until the cult began to lose prominence several generations later, leaving posterity with a void where the life of Pythagoras should have been. Consequently, classicists do not know if Pythagoras was actually responsible for the first proof. How does one prove this enigma? The geometry books I have had experience with turned this rose into a briar. Unfortunately, nobody knows how "Pythagoras"

92. The Pythagorean Theorem Lesson A lesson on the pythagorean theorem with the objective that the student discoversor figures out by A bit of History about pythagoras and his theorem http://www.arcytech.org/java/pythagoras/

The Pythagorean Theorem This lesson will allow you to figure out the Pythagorean Theorem all by yourself. Go ahead and click on the preface link. Preface Objective of this lesson Quick review Tip Number 1 ... Lesson Description (for teachers) Acknowledgments Last Updated: Sunday, 25-Mar-2001 03:00:44 GMT Arcytech Java Home Page Provide ... Feedback

93. The History Of Pythagoras And His Theorem This page contains a brief history of pythagoras as well as a description of theorigin of the Pythagorean theorem. http://www.arcytech.org/java/pythagoras/history.html

The History of Pythagoras and his Theorem In this section you will learn about the life of Pythagoras and how it is that the theorem is known as the Pythagorean Theorem. Be aware that there are no good records about the life of Pythagoras, so the exact dates and other issues are not known with certainty. In addition, the names of some of the people as well as the places where Pythagoras lived may have different spellings. Pythagoras was born in the island of Samos in ancient Greece . There is no certainty regarding the exact year when he was born, but it is believed that it was around 570 BC That is about 2,570 years ago! Those were times when a person believed in superstitions and had strong beliefs in gods, spirits, and the mysterious. Religious cults were very popular in those times. Pythagoras of Samos Pythagoras' father's name was Mnesarchus and may have been a Phoenician. His mother's name was Pythais. Mnesarchus made sure that his son would get the best possible education. His first teacher was Pherecydes, and Pythagoras stayed in touch with him until Pherecydes' death. When Pythagoras was about 18 years old he went to the island of Lesbos where he worked and learned from Anaximander, an astronomer and philosopher, and Thales of Miletus, a very wise philosopher and mathematician. Thales had visited Egypt and recommended that Pythagoras go to Egypt. Pythagoras arrived in Egypt around 547 BC when he was 23 years old. He stayed in Egypt for 21 years learning a variety of things including geometry from Egyptian priests . It was probably in Egypt where he learned the theorem that is now called by his name.

94. Pythagoras Of Samos I would like to start my discussion on pythagoras theorem not with Which isthe familiar theorem. Click this link to see a pythagoras theorem joke http://www.mathgym.com.au/history/pythagoras/pytheor.htm

95. Pythagoras' Theorem Information on how to use pythagoras theorem including a diagram and example. http://www.projectgcse.co.uk/maths/pythagoras.htm

Click here for GCSE coursework! G C S E subject: English Maths Biology Chemistry ... Shape and space Pythagoras' theorem connects the lengths of two sides of a right-angled triangle with the length of the third side. It only works with right-angled triangles Pythagoras' theorem is r = x + y Where r is always the side opposite the right angle, and x and y are the other two sides. Phythagoras' theorem can be rearranged to find any of the three sides of a triangle. Remember that the length is not r but it is r (i.e. don't forget to root the answer). Click here for GCSE maths coursework online Page by: Richard Tang Click here for GCSE forums! Web projectgcse.co.uk HOME GCSE bookshop GCSE Forums Take a break ... Matthew Woollard 2004

96. Googlism What Is Pythagoras googlism for pythagoras. pythagoras is applied to the right pythagoras isbest known for the geometrical theorem that is named after him http://www.googlism.com/what_is/p/pythagoras/

Googlism.com will find out what Google.com thinks of you, your friends or anything! Search for your name here or for a good laugh check out some of the popular Googlisms below. "If you want to know if you're an idiot, geek, moron, stupid, funny, classic, workaholic or rich: Use Googlism. - Internet-Explained.com Who What Where When Who is What is Where is When is pythagoras pythagoras is trustworthy; for a mass of legend gathered around his name at an early date pythagoras is a patient pythagoras is widely regarded as the founder of modern mathematics pythagoras is incorrect pythagoras is trustworthy; for there are many masses of legends gathered around his name pythagoras is a youth group for boys 12 to 20 years of age who believe in the supreme being and are of good character and reputation pythagoras is a professional cad application for the civil engineer and professional surveyor pythagoras is a computer program for keeping track of the interrelated structure of ideas pythagoras is a famous greek mathematician pythagoras is credited with being the first 'pure mathematician' pythagoras is reported to have begun thinking about pitch when he heard the sound of iron being worked on anvils pythagoras is one of the earliest and most important andrews" history of mathematics site theorem of pythagoras given any right angle

97. Pythagoras' Theorem The above picture is my favourite proof of pythagoras theorem. There is awhole web page entitled pythagoras s theorem in Babylonian mathematics at the http://www.math.ntnu.no/~hanche/pythagoras/

Behold! The above picture is my favourite proof of Pythagoras' theorem. Filling in the details is left as an exercise to the reader. I have learned quite a bit about this and other proofs of the Pythagoras theorem since last time I edited this page. I now know that much of what you read below is wrong or misguided. Until I can find the time to improve the page, you should read this with a skeptical eye. (Always good advice anyhow.) It's not all wrong, of course. But to give just one example of the wrongness, the Chou pei suan ching and Zhoubi suanjing are one and the same: They are just transliterations of the Chinese phrase in, respectively, the and the pinyin Is this the oldest proof? This proof is sometimes referred to as the Chinese square proof , or just the Chinese proof . The righthand picture above appears in the Chou pei suan ching (ca. 1100 B.C.E.), for the special (3,4,5) pythagorean triple. See also Development of Mathematics in Ancient China According to David E. Joyce

98. Essays About Mathematics - 136-005 pythagoras theorem and pythagoras Triples send me this essay This 10 pagepaper explain these theories, giving examples of the formulas as well as the http://www.essay-search-engine.com/categories/136-005.html

This is the Internet's LARGEST and FASTEST essay SEARCH engine! Locate an essay by entering your topic above. Click any resulting title to order and receive that essay TODAY! Can't find your topic? Use the " custom research " button to have us create a NEW essay designed specifically to help YOU!!! Now Searching More Than 50,000 Downloadable Essays Select any essay below for only $ onfiles /pg plus FREE bibliography/works cited! Same day delivery via YOUR choice of e-mail or fax is GUARANTEED! Papers On Mathematics Page 6 of 10 [Previous] [Next] Number Theory / Chaos Theory send me this essay A 10 page paper that presents the basics of chaos theory, including mathematical information in a historical context (theorists). The paper covers Lorenz, Ruelle and Takens, Benoit Mandelbrot, Einstein, Shaw and the Santa Cruz collaborative, and modern submissions. The paper concludes with a look at the possibilities of application of chaos theory to neural nets. Bibliography lists 8 sources. Filename: Chaosthy.wps

99. BBC - Education Scotland - Standard Grade Bitesize Revision - Maths I - Pythagor Index page for pythagoras s theorem, Trigonometry and Angles within the subjectMaths I. Standard Grade Bitesize is the easy to use online revision service http://www.bbc.co.uk/scotland/education/bitesize/standard/mathsI/pythagoras/inde

@import url('/includes/tbenh.css') ; Home TV Radio Talk ... A-Z Index SATURDAY 17th September 2005 Text only BBC Homepage Scotland Credits ... Help Like this page? Send it to a friend! B Home Maths I Pythagoras's Theorem, Trigonometry and Angles Biology Chemistry Computing Studies English French Geography History Maths I Maths II Modern Studies Physical Education Physics Discover our full range of revision videos and books! Pythagoras Trigonometry Angles Involved with Circles Angle and Line Facts http://www.bbc.co.uk/scotland/education/bitesize Print Back to top

100. Pythagorean Philosophy: Simple Deduction Of Pythagoras Theorem Pythagorean theorem pythagoras Philosophy Pythagorean theorem Proofs from theSpherical Standing Wave Structure of Matter (WSM). http://www.spaceandmotion.com/Philosophy-Pythagoras-Pythagorean-Theorem.htm

SEARCH Summary Simple Science ... Email About this website (Sept. 2005) : This website is 2 years old, has 300 pages, and gets about 20,000 page visits a day . Its main function is to show that the most simple solution for describing physical reality, the Wave Structure of Matter (WSM) in Space, does actually work (the problems have been caused by the 'Particle' conception of matter in 'Space-Time', as Einstein realised). Now we realise that most people are not into physics, philosophy or metaphysics. However, most people do care about the world that we live in, and the future world that we are creating for our children. And it is pretty obvious that truth and reality (those much abused terms) are the two most important subjects for Humanity to understand if we are to build a better world. Our aim is to get these various WSM subject pages in the top ten in Google so that this knowledge of the Wave Structure of Matter (WSM) is at least known and considered. To achieve this we really need your help to add links to this website . If we can convince just 1% of people (100 people a day) to donate 5 minutes of their time to help then we will easily succeed in achieving this over the next year or so (as most of our pages currently rank in the top 50 in Google for relevant search terms). Finally, our

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