41. The Theorem Of Pythagoras - Anagrams The theorem of pythagoras anagrams. Rearranging the letters of The theorem ofPythagoras (Embodies basic spatial relationship) gives http://www.anagramgenius.com/archive/thethe.html

Archive The definitive site for fun anagrams! 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) Hot, sharp hate of geometry? (by Dante Filipponi using Anagram Genius Other related anagrams without their own page: The Pythagorean theorem Oh, Egypt to earn math here? (by Mike Mesterton-Gibbons by hand) (pending approval) The Pythagorean theorem More than a hyp. to get here? (by Mike Mesterton-Gibbons by hand) (pending approval) See also: Pythagoras 'Pythagorean theorem' Pythagoras' Theorem. 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

42. ENC Online: Curriculum Resources: The Theorem Of Pythagoras (ENC-000896, Overvie You Are Here ENC Home Curriculum Resources The theorem of pythagoras (ENC000896,Overview) The theorem of pythagoras. Series Project Mathematics! http://www.enc.org/resources/records/0,1240,000896,00.shtm

Skip Navigation You Are Here ENC Home Curriculum Resources Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse Resource of the Day About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. The theorem of Pythagoras Series: Project Mathematics! Grades: 9 10 11 12 Post-Sec. ENC#: ENC-000896 Edition: Closed-captioned. Publisher: California Institute of Technology. Project Mathematics Date: Ordering Information Similar Records Featured in ENC Focus Subjects: Mathematics Geometry. Pythagorean theorem. Ratios. Similarity. Triangles. Trigonometry. Resource Type: Lessons and activities; Resource materials for math or science; Teacher guides.

43. ENC Online: Curriculum Resources: The Theorem Of Pythagoras (ENC-000896, Complet Discovering the theorem of pythagoras Geometric interpretation Pythagoras Applyingthe theorem of pythagoras Pythagorean triples The Chinese proof http://www.enc.org/resources/records/full/0,1240,000896,00.shtm

Skip Navigation You Are Here ENC Home Curriculum Resources Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse Resource of the Day About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. The theorem of Pythagoras Series: Project Mathematics! Grades: 9 10 11 12 Post-Sec. ENC#: ENC-000896 Edition: Closed-captioned. Publisher: California Institute of Technology. Project Mathematics Date: Ordering Information Similar Records Featured in ENC Focus Subjects: Mathematics Geometry. Pythagorean theorem. Ratios. Similarity. Triangles. Trigonometry. Resource Type: Lessons and activities; Resource materials for math or science; Teacher guides.

44. Glossary T Mathematics The theorem of pythagoras states that x^2 + y^2 = z^2, where x, y,and z are the lengths of the three sides of a right triangle. http://www.markbrown.com/glossary/glossaryT.htm

Glossary of Financial Market Analysis and Trading Terms Section: A B C D ... J K L M N O ... S T U V W X Y Z Theorem of Pythagoras Mathematics: The Theorem of Pythagoras states that x^2 + y^2 = z^2, where x, y, and z are the lengths of the three sides of a right triangle. If the equation is satisfied with integer values of x, y, and z, the triple (x, y, z) is called a Pythagorean triple. Time Discriminator A system in which the sense and magnitude of the output is a function of the time difference of, and relative time sequence between, two events. Transfer Function Artificial Neural Networks: See: Activation Function

45. New Page 4 Pythagoras Systems Ltd The theorem of pythagoras is proved here, although the main One of Dudeny s Proofs of Pythagoras Theorem - Dudeny s proofs of http://users.tijd.com/~tdn14596/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...

46. Theorem Of Pythagoras theorem of pythagoras. Materials Handouts, dot paper, Geoboard. Step 1.¨ Actively read about the Pythagorean Theorem and Investigation 10.3 Using the 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.

47. The Theorem Of Pythagoras Brief description and proof of the Pythagorean theorem by dissection, based onsquares of sum and difference. http://www.iki.rssi.ru/magbase/REFMAN/STARGAZE/Spyth.htm

(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 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

48. The Theorem Of Pythagoras The theorem of pythagoras is wellknown. If you don t believe it, well probablythis programm Download the latest version of The theorem of pythagoras. 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

49. From Alexl@daemon.cna.tek.com (Alexander Lopez) Newsgroups Sci The theorem of pythagoras is said to have many proofs. I ve found four on theWWW (used with the Geometers SketchPad). Are there any sites with more, http://www.ics.uci.edu/~eppstein/junkyard/pytho.html

From: alexl@daemon.cna.tek.com (Alexander Lopez) Newsgroups: sci.math Subject: Pythagorean theorem - proofs on the WWW? Date: 19 Apr 1996 15:40:51 -0700 Organization: Tektronix, Inc., Redmond, OR Reply-To: alexl@daemon.cna.tek.com The theorem of Pythagoras is said to have many proofs. I've found four on the WWW (used with the Geometers SketchPad). Are there any sites with more, or sites with historical background on the proofs? Alexander Lopez Software Engineering alexl@daemon.CNA.TEK.COM From: eppstein@ics.uci.edu (David Eppstein) Date: 19 Apr 1996 22:26:48 -0700 Newsgroups: sci.math Subject: Re: Pythagorean theorem - proofs on the WWW? alexl@daemon.cna.tek.com http://www.ics.ici.edu/~eppstein/junkyard/ ), reformatted somewhat from the original HTML: Euclid's Elements ( http://www.columbia.edu/~rc142/Euclid.html ). Online, in interesting colors, without all those annoying proofs. Also see D. Joyce's Java-animated version ( http://aleph0.clarku.edu/~djoyce/java/elements/elements.html ), and a manuscript excerpt from a copy in the Bodleian library made in the year 888 ( http://www.lib.virginia.edu/science/parshall/elementsamp.html

50. E.W. Dijkstra Archive: On The Theorem Of Pythagoras (EWD 975) For the theorem of pythagoras, I start from Coxeter s formulation ( Introduction to I am convinced that of the people knowing the theorem of pythagoras, http://www.cs.utexas.edu/users/EWD/transcriptions/EWD09xx/EWD975.html

On the theorem of Pythagoras For the theorem of Pythagoras, I start from Coxeter's formulation ("Introduction to Geometry", p.8) "In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the two catheti." A formal expression of Coxeter's formulation is + b = c Elementary arithmetic yields the equivalent formulation + b = c Isn't that nicely symmetirc? It immediatly suggests - at least to me - the strengthening + b = c (This will turn out to be a theorem.) We get an equivalent formulation by negating both sides: + b + b and + b Bold perhaps, but not unreasonable. Note that (0), (1) and (2) are not independent: from any two of them, the third can be derived. They can be jointly formulated in terms of the function sgn - read "signum" - given by + b - c Consider now the following figure. We have drawn the case α + β < γ, in which the triangles ΔCKB and ΔAHC, of disjoint areas, don't cover the whole of ΔACB; denoting the area of ΔXYZ by "XYZ" we have in this case CKB + AHC = ACB

51. E.W. Dijkstra Archive: User-friendly Mathematics (EWD 889) So much for the theorem of pythagoras and its discovery. EWD889 2. The importantthing, of course, is how we, modern young people, incorporate it into our http://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/EWD889.html

User-friendly Mathematics From publishers' catalogues of books on computing I have learned that the greatest recommendation nowadays is that the texts are void of any mathematical rigour, precision, or clarity. Obviously, traditional mathematical texts are the pinnacle of user-unfriendliness, and if the mathematical community does not want to get completely out of touch with the real world, it had better do something about it. Here is my modest contribution. Hi folks! This is about the theorem of Pythagoras (read: "pythagoras"). Though he is already dead and was Greek, he was in fact quite modern. He is best known for having founded a new sect that meditated on the beauty and harmony of shapes, numbers and guitar music. (And you all like sects with guitar music, don't you?) For a long time he meditated on a triangle with sides 3, 4, ...... No, let me give you a simpler explanation. It is really quite simple: for years, even stupid Egyptean farmers could use it to give their lots right angles. (You have heard of Egypteans, haven't you? They build those queer pyramids full of mystical measures. And those pyramids have right angles Now that's the figure Pythagoras pondered about from the moment he had seen that the squares of the sides were equal. (If you are not sure about the squares of the sides, ask your mom.. She may still know, and if she does not, don't bother, for then it is evidently not that important. The important thing to remember is that the sides have a relationship.)

52. Pythagoras: The Form pythagoras theorem. The theorem of pythagoras. This game is based on thePythagoras theorem. First you are asked to fill in the length of the two short http://www.iramkunz.name/jeux/pythagoras/

"); document.writeln(" and the correct one is "); document.writeln(" "); document.write(justeRes); document.writeln(" "); document.writeln(" "); document.writeln(" "); document.writeln(" "); document.writeln(" "); document.write(" "); document.writeln(" Go back to the form "); document.writeln(" "); document.writeln(" "); document.writeln(" The theorem of Pythagoras This game is based on the Pythagoras theorem. First you are asked to fill in the length of the two short sides (a and b) of a right-angled triangle. Given these two numbers, there is only one possibility for the hypotenuse's length (h). So you must guess it! You must find this length to 2 significant figures i.e. the number you enter will be rounded and compared to the correct answer! Please be aware that you must enter numeric values! If you enter letters - that is characters that don't have any numeric values - either they are discarded or the value is set to zero if it begins with a letter. Actually you can fill in the sides' length in any order you want but the correct answer is based on the hypotenuse's length. If you don't know what is the meaning of it, you can have a look at a description of the

53. OPB NTTI: Pythagorean Theorem Project Mathematics theorem of pythagoras (2200) o Clip The Theorem ofPythagoras Three Questions from Real Life (0252) http://www.opb.org/education/ntti/2003/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.

54. Pythagoras In Three Dimensions You need to use the theorem of pythagoras twice to solve this problem. Since you know the lengths of the legs you can use Pythagoras Theorem to find http://mathcentral.uregina.ca/QQ/database/QQ.09.02/miki1.html

Quandaries and Queries Hiya! Name's Miki and I'm currently in grade 9. I've got this question I was supposed to do for homework but math's just not my strong point. The question is simply and I the way to go about it simpler: A room is 6m long, 5m wide and 3 m high. Find the distance from the corner of the floor to the opposite corner of the celing. PS I REALLY REALLY need to know hot to figure out the answer for this in 9 hours time!!! (don't know what time zone it is there) By then if no one has answered this, don't bother but thanks anyway. Hi miki, You need to use the theorem of Pythagoras twice to solve this problem. Imagine that you are in the room. Take red marker and draw a line on the floor from one corner to the opposite corner. In the diagram below I called this the first diagonal. You now have a right triangle with legs of length 5 m and 6 m, and hypotenuse the first diagonal. Use the theorem of pythagoras to find the length of the hypotenuse. Look at the diagram again. There is a second right triangle. Its legs are a line of length 3 m, and the first diagonal. The hypotenuse, which I drew in blue, is a line from a corner of the room to the opposite corner of the ceiling. Since you know the lengths of the legs you can use Pythagoras' Theorem to find the length of the second diagonal.

55. The Garden Of Archimedes: Pythagoras In the enunciation of the theorem of pythagoras, the squares can be In fact,for the theorem of pythagoras we have a2+b2=c2, and multiplying by k, http://www2.math.unifi.it/~archimede/archimede_inglese/pitagora/exh_pitagora/sch

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

56. The Garden Of Archimedes: Pythagoras The theorem of pythagoras can also be enunciated in a different form the When the theorem of pythagoras is applied to the rightangled triangle BED, http://www2.math.unifi.it/~archimede/archimede_inglese/pitagora/exh_pitagora/sch

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:

57. Theorem Of Pythagoras MS120ln2.jpg (145812 bytes) http://webpages.dcu.ie/~clancym/MS120/LectureNotes/File1/MS120pg02.html

58. Theorem Of Pythagoras MS120ln1.jpg (129642 bytes) http://webpages.dcu.ie/~clancym/MS120/LectureNotes/File1/MS120pg01.html

59. NASA - Project Mathematics! "The Theorem Of Pythagoras" The theorem of pythagoras . Target Grades 912. Length 20 minutes 30 seconds.This video explains the Pythagorean Theorem and shows real life problems http://www.nasa.gov/audience/foreducators/topnav/schedule/programdescriptions/Th

The nasa.gov site requires that JavaScripts be enabled in your browser. For instructions, click here + Text Only Site + Contact NASA + NASA Home ... + NASA Education Home preLoad('/templateimages/navigation/leftnav/foreducators/nav_left_contacts,/templateimages/navigation/leftnav/foreducators/nav_left_features,/templateimages/navigation/leftnav/foreducators/nav_left_grants,/templateimages/navigation/leftnav/foreducators/nav_left_internet,/templateimages/navigation/leftnav/foreducators/nav_left_learning,/templateimages/navigation/leftnav/foreducators/nav_left_multimedia,/templateimages/navigation/leftnav/foreducators/nav_left_development,/templateimages/navigation/leftnav/foreducators/nav_left_opportunities'); Choose another category: + For Educators K-4 + For Educators 5-8 + For Educators 9-12 + For Educators Post Secondary ... + For Informal Educators Project Mathematics! "The Theorem of Pythagoras" Target: Grades 9-12 Length: 20 minutes 30 seconds This video explains the Pythagorean Theorem and shows real life problems that can be solved using the Pythagorean Theorem. The program also illustrates several different animated proofs and weaves a historical perspective. To order a copy of this video, please visit the Central Operation of Resources for Educators Web site.

60. NASA - Project Mathematics! "The Theorem Of Pythagoras" Project Mathematics! The theorem of pythagoras This video explains thePythagorean Theorem and shows real life problems that can be solved using the http://www.nasa.gov/lb/audience/foreducators/topnav/schedule/programdescriptions

The nasa.gov site requires that JavaScripts be enabled in your browser. For instructions, click here Text and images site Contact NASA NASA Home ... NASA Education Home Find it at NASA: Enter search term Global Navigation CLASSROOM SUBJECTS EDUCATIONAL MATERIALS ACT NOW EDUCATION TV SCHEDULE ... EXPRESS MAILING LIST NASA Education TV Schedule Navigation: About Education File TV Schedule Extra Themes Program Descriptions Choose another category: For Educators K-4 For Educators 5-8 For Educators 9-12 For Educators Post Secondary ... For Informal Educators Program Description Project Mathematics! "The Theorem of Pythagoras" Target: Grades 9-12 Length: 20 minutes 30 seconds This video explains the Pythagorean Theorem and shows real life problems that can be solved using the Pythagorean Theorem. The program also illustrates several different animated proofs and weaves a historical perspective. To order a copy of this video, please visit the Central Operation of Resources for Educators Web site. + How to Order Web site + Inspector General Hotline + Equal Employment Opportunity Data Posted Pursuant to the No Fear Act + Budgets, Strategic Plans and Accountability Reports ... + The President's Management Agenda and Accessibility Certification Editor: Shelley Canright NASA Official: Brian Dunbar Last Updated: September 6, 2005

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