21. About "The Theorem Of Pythagoras" The theorem of pythagoras. http://mathforum.org/library/view/7534.html

The Theorem of Pythagoras Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.projectmathematics.com/pythag.htm Author: Project MATHEMATICS!, California Institute of Technology Description: A videotape-and-workbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Several animated proofs of the Pythagorean theorem are presented, with applications to real-life problems and to Pythagorean triples. The theorem is extended to 3-space, but does not hold for spherical triangles. Levels: High School (9-12) Languages: English Resource Types: Multimedia Video Lesson Plans and Activities Textbooks Math Topics: Higher-Dimensional Geometry Triangles and Other Polygons Math Ed Topics: Audiovisual/Multimedia Curriculum/Materials Development Home The Math Library ... Contact Us http://mathforum.org/

22. Math Forum - Mathematics Teacher Bibliography: Right Triangles, Pythagorean Theo Mathematics Teacher. Geometry Bibliography Right Triangles and the Theoremof Pythagoras. The questions are related to the theorem of pythagoras. http://mathforum.org/mathed/mtbib/right.triangles.html

Mathematics Teacher Geometry Bibliography: Right Triangles and the Theorem of Pythagoras Hubert Ludwig, Ball State University Back to Geometry Bibliography: Contents UPDATE 13 May 2004 If you find these bibliographies of use in your teaching, or if you would benefit from an updated bibliography that encompasses the issues of Mathematics Teacher from 1997 to the present, please reply to the geometry-pre-college thread "updating online geometry bibliography of Mathematics Teacher?" 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ Home The Math Library Quick Reference ... Contact Us http://mathforum.org/

23. 1300 A.C.: Theorem Of Pythagoras 1300 BC. THE theorem of pythagoras. In the tablet, of which the translationis reported, it seems really that the theorem of pythagoras is applied. 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.

24. Theorem Of Pythagoras Translate this page Cuando llegues al último paso, pulsa reset para volver a empezar.Un Applet relacionado con este está en Pythagoras java applet. http://www.edu.aytolacoruna.es/aula/fisica/applets/Hwang/ntnujava/abc/Pythagoras

a + b =c Puedes variar la rapidez de cambio dando valores a Incremento de t (medido en segundos, valor por defecto=2 s) reset para volver a empezar. Pythagoras java applet hwang@phy03.phy.ntnu.edu.tw Autor: Fu-Kwun Hwang Dept. of physics National Taiwan Normal University

25. The Theorem Of Pythagoras The theorem of pythagoras. Go h. (b) Find the length of the side markedx. A nice web site to look at More on Pythagoras theorem. http://www.iram.e-topia.org.uk/pythagoras/pythagoras_theorem.htm

The theorem of Pythagoras The Theorem of Pythagoras is an equation connecting the longest side of a right-angled triangle (called the hypotenuse) with the other two sides. It can be used to find the length of one side of a right-angled triangle given the other two sides. It applies only to right-angled triangles. The theorem of Pythagoras states that in a right-angled triangle the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the two other sides (the two shortest sides). h = a + b Note : h, the hypotenuse is always opposite the right angle. The converse of the theorem is also true i.e. If h = a + b then the triangle is right-angled. Examples Answers (a) Find the length of the side marked h (b) Find the length of the side marked x A nice web site to look at: More on Pythagoras' theorem

26. Pythagoras earth, air, water and fire. theorem of pythagoras. The modern statementof the theorem of Pitagoras is In a triangle rectangle, the http://www.terra.es/personal2/efr1966/ipitag.htm

PYTHAGORAS Greek philosopher considered like a great man turned in different sciences. Precursor of the geometric theorem that takes its name. - I N D E X - Introduction Life and Builds Theorem of Pythagoras Definition Pythagoras Theorem ... Application Pythagoras Theorem Introduction Pythagoras was a student of the mathematics, according to commented all the things are numbers Life and Builds Philosopher and Greek mathematician born in the 580 A.C. in Samos, Iona and died around the 500 A.C. in Metapontum, Lucania. Mystical man and aristocrat whom the Pythagorean School founded, a species of sect whose symbol was the starred pentagon, and dedicated to the study of the philosophy, mathematical and astronomy. He was original of the island of Samos, located in the Aegean Sea. At the time of this philosopher the island was governed by the Polycrates tyrant. As the free spirit of Pythagoras could not agree to this form of government, an association emigrated towards the West, founding on Crotona (to the south of Italy) that did not have the character of a philosophical school but the one of a religious community. For this reason, it can say that mathematical sciences have been born in the Greek world of a corporation of religious and moral character. They met to carry out certain ceremonies, to help themselves mutually, and to even live in community. The Pythagorean School any person could enter, until women. In that then, and during long time and in many towns, the women were not admitted in the schools.

27. BCIT Math 11 Competency Test: The Theorem Of Pythagoras With Applications BCIT, The theorem of pythagoras With Applications. http://www.math.bcit.ca/competency_testing/testinfo/testsyll11/trigonometry/pyth

The Theorem of Pythagoras With Applications Privacy Statement 3700 Willingdon Avenue, Burnaby, British Columbia, Canada, V5G 3H2, Phone: 604-434-5734 This page is maintained by Andrew_McConnell@bcit.ca and was last updated Wed Oct 22 16:17:28 2003

28. The Theorem Of Pythagoras - Anagrams Rearranging the letters of the theorem of pythagoras gives He has that geometryproof. ! anagrams. anagram genius logo The theorem of pythagoras anagrams. http://www.anagramgenius.com/archive/thethe.html

The theorem of Pythagoras anagrams Rearranging the letters of The theorem of Pythagoras (Embodies basic spatial relationship) gives: He has that geometry proof. (by V.Rabin) See also: Pythagoras Pythagoras' Theorem. (Click Here!) Download FREE anagram-generating software for your Windows computer Webmasters: make money from your website! Instructions for linking to this page! Learn about the Anagram Genius software (Windows/MacOS) Search the Archive Add YOUR anagrams to the Archive! League table of top contributors Find anagram aliases of the theorem of pythagoras (or any other text)! Find gold service anagrams of the theorem of pythagoras (or any other text)! Anagram Genius Archive Main Index www.anagramgenius.com home page William Tunstall-Pedoe . See this page for other points concerning the theorem of pythagoras.

29. The Theorem Of Pythagoras Pythagoras. Letters. The theorem of pythagoras is wellknown. Downloadthe latest version of The theorem of pythagoras. pythag.zip (113k), http://www.coster.demon.nl/e_pythag.htm

Dutch Mathematics Flippo Games ... Letters The Theorem of Pythagoras is wellknown. If you don't believe it, well probably this programm will convince you. Download the latest version of The Theorem of Pythagoras. pythag.zip Last update: may 4, 2004 Dutch

30. Kids.net.au - Site Profile For The Theorem Of Pythagoras Brief description and proof of the Pythagorean theorem....... The theorem of pythagoras Site Profile. Title The theorem of pythagoras. http://www.kids.net.au/profiles/11745.php

Web Dictionary Thesaurus Seek: everything just pages from Australia Thesaurus Dictionary Categories The Theorem of Pythagoras Site Profile Title: The Theorem of Pythagoras Description: Brief description and proof of the Pythagorean theorem. Url: http://www-spof.gsfc.nasa.gov/stargaze/Spyth.htm Category: Kids_and_Teens/School_Time/Math/Mathematicians/Pythagoras Ads by Fastclick Go Local Australia Belgium Canada China ... Link to Us Kids.net.au - Search engine for kids, children, educators and teachers - Searching sites designed for kids that are child safe and clean.

31. New Page 4 Pythagoras Systems Ltd The theorem of pythagoras is proved here, although themain business of Pythagoras SystemsLtd is to design and build websites for http://users.skynet.be/bk381647/linkpyth.html

Website met verschillende bewijzen i.v.m. de stelling van Pythagoras Andere website met verschillende bewijzen, van Alexander Bogomolny Interactieve bewijzen van de stelling van Pythagoras Pythagoras op math.be ... Pythagoras - Pythagoras of Samos Born: about 569 BC in Samos, Ionia Died: about 475...Description: Biography of Pythagoras (569BC475)with a good introduction to his beliefs and philosophyCategory: Society Philosophy Philosophers Pythagoras of Samos... Pythagoras and the Pythagoreans - Passages from Plato, Aristotle and the Doxographists referring to Pythagoras and the Pythagoreans.... Pythagoras (Internet Encyclopedia of Philosophy) - Pythagoras (fl. 530 BCE.) Pythagoras (fl. 530 BCE) must have been one of the world's greatest men, but he wrote nothing, and it is hard to say how much of the doctrine we know as Pythagorean is due to the founder of the society and how much is later development.... The School of Pythagoras - and proportion. The work of Pythagoras provides a starting point for..1998 Original version of School of Pythagoras Home page of...... Pythagoras - Pythagoras Norrtelje Photo by Peter Larsson · For information call +46 (0)176-100 50...

32. Theorem Of Pythagoras Demonstration of theorem of pythagoras. Category High School....... Home Detailed Information. Name theorem of pythagoras http://www.science-search.org/index/Math/Algebra/High_School/25818.htm

Search in Science-Search.org for: What's new Top Searches Statistics Science News ... Home : Detailed Information Name: Theorem of Pythagoras Description: Demonstration of theorem of Pythagoras. Category: High School Url: http://www.alphaquark.com/Traduction/Pythagore.htm Date: Current Rating: Clicks/Hits Received: Rate this web site: Rating: Votes: Web site owner: Allow people to rate your site on your site Modify your link Something wrong with this resource? Report this link as broken About Us Contact Us Site Guide ... Add Science Search to Your Web Site The Science Search Directory is based on DMOZ. Science Search has modified and enhanced this data. Submitting to DMOZ: Help build the largest human-edited directory on the web. Submit a Site Open Directory Project Become an Editor Science Search's Sponsors: Goom NL

33. Theorem Of Pythagoras theorem of pythagoras. Materials Handouts, dot paper, Geoboard. Step1 ¨ Actively read about the Pythagorean Theorem and Investigation http://www.simpson.edu/~waggoner/quilt/pythagoras.htm

Theorem of Pythagoras Materials : Handouts, dot paper, Geoboard Step 1 Actively read about the Pythagorean Theorem and Investigation 10.3: Using the Pythagorean Theorem on pp. 565-6 of Bassarear. Do problems 2b (perimeter only), 12, and 25 on pp. 571-3. Do problems in "Pythagorean Puzzles" in Activities from the Mathematics Teacher Do problems in "Preparing for Pythagoras" in Activities from the Mathematics Teacher Do Activity 10: Right or Not from Mathematics Activities for Elementary School Teachers: A Problem Solving Approach. Actively read Activity 10.5: Pythagoras and Proof in Mathematics for Elementary Teachers via Problem Solving: Student Activity Manual. Actively read about the same diagrams in Haack. Your goal is to understand the connection between a and the area of a square. Also you need to understand what a b c means in terms of the areas of squares and the lengths of the sides of a right triangle.

34. The Garden Of Archimedes: Pythagoras In the enunciation of the theorem of pythagoras, the squares can be replaced byother figures, like for example triangles, hexagons or even irregular figures http://www.math.unifi.it/archimede/archimede_inglese/pitagora/exh_pitagora/sched

The Garden of Archimedes A Museum for Mathematics Pythagoras and his Theorem Similar figures . Similar figures stars and Pythagoras another demonstration lunes In the enunciation of the theorem of Pythagoras, the squares can be replaced by other figures, like for example triangles, hexagons or even irregular figures, as long as they are similar among themselves. Similar figures are the ones that differ only in quantity, but not in shape. In other words, two similar figures are those where one is the enlargement of the other. For example, two five pointed stars are similar, while a five pointed star is not similar to a four pointed star. Arguing from analogy, two triangles in which the sides of one are twice the sides of the other are similar, while the ones in the figure are not, because in this case the enlargement is done in only one direction. Note that all squares are similar, like all circles and all regular polygons with the same number of sides. A property of similar figures that explains why they can replace the squares in the theorem of Pythagoras, is that their areas are proportional to the squares of the corresponding segments. For example, in the case of five pointed stars, the area is proportional to the square of the distance between two consecutive points; in formulas A = kL (Naturally, side l of the star could have been taken instead of the distance between the two points; in this case it would be A =hl

35. The Garden Of Archimedes: Pythagoras The theorem of pythagoras can also be enunciated in a different form the sum ofthe squares of the base and the altitude of a rectangle is equal to the square http://www.math.unifi.it/archimede/archimede_inglese/pitagora/exh_pitagora/sched

The Garden of Archimedes A Museum for Mathematics Pythagoras and his theorem Parallelograms and trapeziums rectangles parallelograms trapeziums right angled trapezium The theorem of Pythagoras can also be enunciated in a different form: the sum of the squares of the base and the altitude of a rectangle is equal to the square of the diagonal . In fact, the diagonal of a rectangle is the hypotenuse of the right-angled triangle having as cathets the base and the altitude. If we then take each square twice, we'll have that: the sum of the squares on the sides of a rectangle is equal to the sum of the squares on the diagonals The same result is also valid for the non right-angled parallelogram. Take the parallelogram ABCD. When the theorem of Pythagoras is applied to the right-angled triangle BED, the square of diagonal BD is equal to the sum of the squares of ED and BE, which are coloured in green and yellow. Similarly, the square of the diagonal AC is equal to the red square plus the multicolored one. The sum of the areas of the squares of the diagonals is then equal to the one of the areas of the four squares drawn in the first figure. The second figure is obtained from the first by moving some parts without altering the overall area, and therefore the sum of the areas of the four squares of the first figure (which was equal to the sum of the squares of the diagonals) is equal to the one of the six squares of the second figure. On the other hand, again with the theorem of Pythagoras, the two green squares are equal to the square of the AB, and the two red ones to the square of side AC, and thus the sum of the areas of the six squares is equal to that one of the squares of the sides. We can conclude by saying that:

36. A Short Course In Math The theorem of pythagoras. Pythagoras of Samos was a Greek philosopher who livedaround 530 BC, mostly in the Greek colony of Crotona in southern Italy. http://www.vermessungsseiten.de/englisch/vermtech/pythagoras.htm

http://www-istp.gsfc.nasa.gov/stargcc/Sconcat9.htm 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

37. Theorem Of Pythagoras http://webpages.dcu.ie/~clancym/MS120/LectureNotes/File1/MS120pg02.html

38. Theorem Of Pythagoras http://webpages.dcu.ie/~clancym/MS120/LectureNotes/File1/MS120pg01.html

39. Pythagoras Of Samos Pythagoras Theorem You might like to do Activity 2 before you continue. There aremany different proofs and demonstrations for this theorem of pythagoras . http://www.mathgym.com.au/history/pythagoras/pytheor.htm

40. OPB NTTI: Pythagorean Theorem Interaction by having them make notes on their drawings from Step 1 while viewingclips from the video, Project Mathematics theorem of pythagoras (2200) 1 http://www.opb.org/edmedia/ntti/pythagorean/

HOME LESSON PLANS LESSON PLANS BY SUBJECT LESSON PLAN TEMPLATE ... CONTACT US PYTHAGOREAN THEOREM: LEARNING SQUARED PLUS TEACHING SQUARED EQUALS UNDERSTANDING SQUARED Master Teacher: Ken McCoy Subject Matter: Math - Pythagorean Theorem Grade Levels: Time Allotment: Three to five 45-minute class sessions Overview This lesson provides students with an in-depth understanding and appreciation for the Pythagorean Theorem through independent exploration. Students will describe, in writing and drawings, a working definition of the Theorem, various proofs of the Theorem and examples of its application. Students will communicate their findings through a team-teaching opportunity and through activities created by the teaching efforts of their peers. Learning Objectives Students will be able to: Define, communicate and use the Pythagorean Theorem in its various forms. Recognize and work with Pythagorean Triples. Recognize, work with and reproduce various proofs of the Pythagorean Theorem.

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