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Theorem Of Pythagoras:     more books (32)

Looking for Pythagoras: The Pythagorean Theorem (Prentice Hall Connected Mathematics) by Glenda Lappan, James T. Fey, et all 2002-01-01 The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid by Peter S. Rudman, 2010-01-26 The Big Idea: Pythagoras & His Theorem by Paul Strathern, 1997 Das Theorem Des Pythagoras (1908) (German Edition) by Henri Adrien Naber, 2010-02-23 Project Mathematics! The Theorem of Pythagoras Vhs Cassette by california institute of technology, 1988 Package of 5 Looking For Pythagoras The Pythagorean Theorem Connected Mathematics Geometry student books 2002 by Glenda Lappan, James T Fey, et all 2002 The Theorem of Pythagoras by William H & Johnson, Donovan A Glenn, 1964-01-01 Package of 5 Looking For Pythagoras The Pythagorean Theorem student editions Connected Mathematics Dale Seymour Publications 1998 by Glenda Lappan, James T Fey, et all 1998 The theorem of Pythagoras (Exploring mathematics on your own) by William H Glenn, 1965 The Theorem Of Pythagoras (No.4) Pythagoras' Theorem: An Introduction (Math: Linear Functions, Pythagoras' Theorem, and Ratio and Proportion) Understanding Ratio and Proportion (Math: Linear Functions, Pythagoras' Theorem, and Ratio and Proportion) Looking for Pythagoras The pythagorean Theorem by Fey,Fitzgerald Lappan, 2009 Das Theorem Des Pythagoras (1908) (German Edition) by Henri Adrien Naber, 2010-09-10

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61. An Interactive Proof Of Pythagoras' Theorem
    Home page of the grand prize winner in Sun Microsystem's Java programming contest in 1995.Category Computers Programming Contests Personal PagesUBC Mathematics Department http//www.math.ubc.ca/. An Interactive Proofof pythagoras' theorem. This Java applet was written by Jim Morey.  
    http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pytha

62. Pythagoras' Theorem
    pythagoras' theorem. pythagoras theorem asserts that for a right triangle withshort sides of length a and b and long side of length c a 2 + b 2 = c 2.  
    http://www.sunsite.ubc.ca/DigitalMathArchive/Euclid/java/html/pythagoras.html
    
    Extractions: Pythagoras Theorem asserts that for a right triangle with short sides of length a and b and long side of length c a + b = c Of course it has a direct geometric formulation. For many of us, this is the first result in geometry that does not seem to be self-evident. This has apparently been a common experience throughout history, and proofs of this result, of varying rigour, have appeared early in several civilizations. We present a selection of proofs, dividing roughly into three types, depending on what geometrical transformations are involved. The oldest known proof Proofs that use shears (including Euclid's). These work because shears of a figure preserve its area. Some of these proofs use rotations, which are also area-preserving. Proofs that use translations . These dissect the large square into pieces which one can rearrange to form the smaller squares. Some of these are among the oldest proofs known. Proofs that use similarity . These are in some ways the simplest. They rely on the concept of ratio, which although intuitively clear, in a rigourous form has to deal with the problem of incommensurable quantities (like the sides and the diagonal of a square). For this reason they are not as elementary as the others. Oliver Byrne

63. Pythagoras' Haven
    The following window shows a geometrical proof of pythagoras' theorem. The threebuttons, NEXT, BACK, RESTART, allow you to go through the steps of the proof.  
    http://java.sun.com/applets/archive/beta/Pythagoras/
    
    Extractions: The following window shows a geometrical proof of Pythagoras' Theorem. The three buttons, NEXT, BACK, RESTART, allow you to go through the steps of the proof. As well, if you would like to repeat the action of the diagram simply click on the image. (The text can be retyped by clicking on the text box). Good luck understanding the proof. This will hopefully turn into a place for geometric proofs of the Pythagorean Theorem the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides. Take a look at the poorly documented program and its helpers Banner and fillTriangle this hacked from the hotjava people my home page

64. Babylonian Pythagoras
    pythagoras's theorem in Babylonian mathematics. pythagoras's theorem in Babylonianmathematics This shows a nice understanding of pythagoras's theorem.  
    http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Babylonian_Pythagoras.html

65. Pythagorean Theorem
    Pythagorean theorem. Information of Products.  
    http://www.ies.co.jp/math/java/geo/pythagoras.html

66. Pythagoras Theorem(2)
    pythagoras theorem(2). pythagoras theorem. Applet. How to use this applet. Drag thered point. Reference pythagoras theorem OYA,Shinichi, 1975, Tokai univ. Press  
    http://www.ies.co.jp/math/java/samples/pytha2.html

67. Pythagorean Theorem
    Rotates around the opposite vertex. move, Drag the central red point. Reference pythagoras theorem OYA, Shinichi, 1975, Tokai University Press.  
    http://www.frontiernet.net/~imaging/pythagorean.html
    
    Extractions: 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

68. NOVA Online | The Proof | Pythagorean Puzzle
    A fun look at the man and one of his bestknown equations. Includes Shockwave demonstration. From Category Kids and Teens School Time Math Mathematicians pythagoras who lived over 2,000 years ago during the sixth century BCE pythagoras spent a putit another way Check it outyou can show that the Pythagorean theorem works  
    http://www.pbs.org/wgbh/nova/proof/puzzle/
    
    Extractions: Here's the deal; there was this Greek guy named Pythagoras, who lived over 2,000 years ago during the sixth century B.C.E. Pythagoras spent a lot of time thinking about math, astronomy, and music. One idea he came up with was a mathematical equation that's used all the time, for example in architecture, construction, and measurement.

69. 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
    
    Extractions: 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

70. Pythagorean Theorem - Wikipedia
    The Pythagorean theorem or pythagoras' theorem is named for and attributed to the6th century BC Greek philosopher and mathematician pythagoras, though the  
    http://www.wikipedia.org/wiki/Pythagorean_theorem
    
    Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Other languages: Deutsch Polski From Wikipedia, the free encyclopedia. The Pythagorean theorem or Pythagoras' theorem is named after and commonly attributed to the 6th century BC Greek philosopher and mathematician Pythagoras , though the facts of the theorem were known before he lived. The theorem states a relationship between the areas of the squares on sides of a right triangle (A right triangle is one with a right angle ; the legs are the two sides that make up the right angle; the hypotenuse is the third side opposite the right angle; the square on a side of the triangle is a square, one of whose sides is that side of the triangle). Since the area of a square is the square of the length of a side, we can also formulate the theorem as:

71. Pythagoras's Theorem -- From MathWorld
    pythagoras's theorem, Pappas, T. Irrational Numbers the pythagoras theorem. TheJoy of Mathematics. San Carlos, CA Wide World Publ./Tetra, pp. 9899, 1989.  
    http://mathworld.wolfram.com/PythagorassTheorem.html
    
    Extractions: and , so is even. But if is even , then p is even . Since is defined to be expressed in lowest terms, q must be odd ; otherwise p and q would have the common factor 2. Since p is even , we can let , then . Therefore, , and , so q must be even . But q cannot be both even and odd , so there are no d and s such that is rational , and must be irrational In particular, Pythagoras's constant is irrational . Conway and Guy (1996) give a proof of this fact using paper folding, as well as similar proofs for (the golden ratio ) and using a pentagon and hexagon Irrational Number Pythagoras's Constant Pythagorean Theorem References Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 183-186, 1996. Gardner, M. The Sixth Book of Mathematical Games from Scientific American. Chicago, IL: University of Chicago Press, p. 70, 1984. Pappas, T. "Irrational Numbers & the Pythagoras Theorem."

72. A Proof Of The Pythagorean Theorem By Liu Hui
    A proof of the Pythagorean theorem by Liu Hui (third century AD).Historia mathematica, 1985, 12, pp. 713. In this Web version I  
    http://www.staff.hum.ku.dk/dbwagner/Pythagoras/Pythagoras.html
    
    Extractions: The Jiuzhang suanshu (Arithmetic in nine chapters) is a Chinese mathematical book, probably of the first century A.D. Chapter 9, on right triangles, consists of 24 problems together with algorithms for their solution, with no explanation. The Pythagorean Theorem is introduced by the first three problems: If [the length of] the shorter leg [of a right triangle] is 3 chi , and the longer leg is 4 chi , what is the hypotenuse?

73. Theorem 12 (Pythagoras)
    opposite the longest side. theorem 12 is also called the theorem ofpythagoras although it was known before pythagoras was even born!  
    http://www.teachnet.ie/tbrophy/theorem12.html
    
    Extractions: The converse, that means the opposite, of this theorem is also true. In other words Theorem 12 is also called the Theorem of Pythagoras although it was known before Pythagoras was even born! To demonstrate this we will make use of Theorem 8 . This theorem tells us that if we have a triangle whose base is x units long and whose height is y units then it has an area given by one half of xy

74. Proofs Of The Pythagorean Theorem
    The Choupei, an ancient Chinese text, also gives us evidence that the Chinese knewabout the Pythagorean theorem many years before pythagoras or one of his  
    http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/HeadAngela/essay1/Pytha
    
    Extractions: This essay was inspired by a class that I am taking this quarter. The class is the History of Mathematics . In this class, we are learning how to include the history of mathematics in teaching a mathematics. One way to include the history of mathematics in your classroom is to incorporate ancient mathematics problems in your instruction. Another way is to introduce a new topic with some history of the topic. Hopefully, this essay will give you some ideas of how to include the history of the Pythagorean Theorem in the teaching and learning of it. We have been discussing different topics that were developed in ancient civilizations. The Pythagorean Theorem is one of these topics. This theorem is one of the earliest know theorems to ancient civilizations. It was named after Pythagoras, a Greek mathematician and philosopher. The theorem bears his name although we have evidence that the Babylonians knew this relationship some 1000 years earlier. Plimpton 322 , a Babylonian mathematical tablet dated back to 1900 B.C., contains a table of Pythagorean triples. The Chou-pei , an ancient Chinese text, also gives us evidence that the Chinese knew about the Pythagorean theorem many years before Pythagoras or one of his collegues in the Pythagorean society discovered and proved it. This is the reason why the theorem is named after Pythagoras.

75. The Pythagorean Theorem Lesson
    The Pythagorean theorem. This lesson will allow you to figure out the Pythagoreantheorem all by yourself. Go ahead and click on the preface link.  
    http://www.arcytech.org/java/pythagoras/

76. The History Of Pythagoras And His Theorem
    The History of pythagoras and his theorem. Even though the theorem was known longbefore his time, pythagoras certainly generalized it and made it popular.  
    http://www.arcytech.org/java/pythagoras/history.html
    
    Extractions: 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.

77. Pythagoras' Theorem
    pythagoras' theorem. pythagoras' theorem states that Proof of pythagoras'theorem. Cut out four congruent rightangled triangles.  
    http://www.mathsteacher.com.au/year9/ch04_pythagoras/01_hypotenuse/pythag.htm
    
    Extractions: Pythagoras' Theorem Pythagoras' Theorem states that: In any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is: Pythagoras' Theorem was discovered by Pythagoras, a Greek mathematician and philosopher who lived between approximately 569 B.C. and 500 B.C. Proof of Pythagoras' Theorem Cut out four congruent right-angled triangles. Place them as shown in the following diagram. The figure ABCD is a square with side length a + b , and it consists of the four congruent right-angled triangles and a square, EFGH , with side length c This proof was devised by the Indian mathematician, Bhaskara, in 1150 A.D.

78. Pythagoras' Theorem
    GCSE Maths Shape and space pythagoras' theorem pythagoras' theorem connects thelengths of two sides of a rightangled triangle with the length of the third  
    http://www.projectgcse.co.uk/maths/pythagoras.htm

79. Pythagoras' Theorem
    Home Java - pythagoras theorem. pythagoras' theorem. by Jim Morey fromthe University of British Columbia (scroll down for instructions).  
    http://pirate.shu.edu/~wachsmut/Java/Pythagoras/Pythagoras.html

80. Pythagoras' Theorem
    pythagoras' theorem. pythagoras's theorem In any rightangled triangle, the squareof the hypotenuse is equal to the sum of the squares of the other two sides.  
    http://www.revision-notes.co.uk/revision/742.html
    
    Extractions: RevisionNotes.Co.Uk - Free Revision and Course Notes for UK Students Home GCSE Maths Trigonometry : Pythagoras' Theorem Revision Notes GCSE A-Level University IB User Options Search My Revision Notes Bookmark Page Contribute Contribute Work Other Sites Essay Bank Coursework.Info Custom Research Pythagoras's Theorem

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