Napoleon Triangles Napoleon's Theorem. By Gooyeon Kim . Anecdote about Napoleon Bonaparte (17691821) Napoleon was known as an amateur mathematician. There is a historical anecdote about Napoleon http://jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Kim/emat6690/essay1/Napoleon's Th
Extractions: Mathematics Education Department Napoleon's Theorem By Gooyeon Kim Anecdote about Napoleon Bonaparte (1769-1821) Napoleon was known as an amateur mathematician. There is a historical anecdote about Napoleon who was emperor of the French: It is known that Napoleon Bonaparte was a bit of a mathematician with a great interest in geometry. There is a story that, before he made himself ruler of the French, he engaged in a discussion with the great mathematicians Lagrange and Laplace until the latter told him, severely, "The last thing we want from you, general, is a lesson in geometry," Laplace became his chief military engineer. What is Napoleon's Triangle? Given any triangle, construct equilateral triangles on each side and find the center of each equilateral triangle. The triangle formed by these three centers is Napoleon's Triangle Figure 1. GSP file Napoleon's Theorem: If equilateral triangles are erected externally on the sides of any triangle, then their centers form an equilateral triangle. Figure 2.
YouTube - Napoleon's Theorem No matter what shape the green triangle has, the red triangle is always equilateral. For more information, films, and interactive material, see http//tinyurl.com/4wqal8 http://www.youtube.com/watch?v=pmUwPPcH8BQ
CategoryNapoleon S Theorem - Wikimedia Commons Mar 8, 2008 513pxNapoleon s theorem proof.png 513px-Napoleon s the 26370 bytes. Napoleon s theorem.svg 8228 bytes. Proof1826.svg 10104 bytes http://commons.wikimedia.org/wiki/Category:Napoleon's_theorem
File:513px-Napoleon& - Wikimedia Commons File513pxNapoleon s theorem proof.png. From Wikimedia Commons, the free http://commons.wikimedia.org/wiki/File:513px-Napoleon's_theorem_proof.png
Extractions: From Wikimedia Commons, the free media repository Jump to: navigation search No file by this name exists. There are no pages that link to this file. Retrieved from " http://commons.wikimedia.org/wiki/File:513px-Napoleon%26 Personal tools Namespaces Variants Views Actions Search Navigation Participate Toolbox What links here Special pages Printable version About Wikimedia Commons
Napoleons Theorem Article on Napoleons Theorem proving . Remarks The attribution to Napol on Bonaparte (17691821) is traditional, but dubious. http://myyn.org/m/article/napoleons-theorem/
Nrich.maths.org :: Mathematics Enrichment :: Napoleon's Theorem Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR? http://nrich.maths.org/1944&part=note
Extractions: If so we'd love to involve you in our research. Are you aged between 10 and 17? Read about Dr Yi Feng's research which involves talking to students over the next two years about their mathematical experiences in and out of school, and respond to the call for participants. Do you use the ASKNRICH site, or have you previously? Libby Jared's research involves looking at what goes on on the ASKNRICH site and why. To help with this research please respond to the ASKNRICH survey Read more about the research we are doing here
ON NAPOLEON S THEOREM IN THE ISOTROPIC PLANE Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.springerlink.com/index/D05X411566432777.pdf
Extractions: skip to main skip to sidebar Interesting facts,facts,Interesting,facts about pairs strong, Germany,Australia,franc, Austria,health, Mexico,Italy,Canada, strange,weird,weird facts India mumbai, Pakistan, Brazil, William Shakespeare, china, japan, cricket, facts weird,most weird,most,true facts,facts true,a few words,few words, sports, science facts about animals dogs, cats, horse, politics facts, Egypt facts, strange, useless,all arts bizarre yoga facts Enter your search terms Submit search form Napoleon's theorem states that if we construct equilateral triangles on the sides of any triangle (all outward or all inward), the centers of those equilateral triangles themselves form an equilateral triangle, as illustrated below. This is said to be one of the most-often rediscovered results in mathematics. The earliest definite appearance of this theorem is an 1825 article by Dr. W. Rutherford in "The Ladies Diary". Although Rutherford was probably not the first discoverer, there seems to be no direct evidence supporting any connection with Napoleon Bonaparte, although we know that he did well in mathematics as a school boy. According to Markham's biography, To his teachers Napoleon certainly appeared a model and promising pupil, especially in mathematics... The school inspector reported that Napoleon's aptitude for mathematics would make him suitable for the navy, but eventually it was decided that he should try for the artillery, where advancement by merit and mathematical skill was much more open...
Casio ClassPad 300 Explorations -- Napoleon’s Theorem Napoleon s theorem offers a tour de force for constraint geometry. The theorem states that for any arbitrary triangle, if you construct an equilateral http://www.classpad.org/explorations/napoleon/napoleon.html
Extractions: Home ClassPad News Overview Online Store ... Saltire Family of Websites Napoleon’s Theorem with the Casio ClassPad Napoleon’s theorem offers a tour de force for constraint geometry. The theorem states that for any arbitrary triangle, if you construct an equilateral triangle on each edge, and join the centers of the incircles of these triangles, then the resulting triangle is equilateral. The theorem is named for, and supposedly discovered by, Napoleon Bonaparte, himself no stranger to tours de force.
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Napthm Napoleon s Theorem is the name popularly given to a theorem which states that if equilateral triangles are constructed on the three legs of any triangle, http://www.pballew.net/napthm.html
Extractions: and the Napoleon Points Napoleon's Theorem is the name popularly given to a theorem which states that if equilateral triangles are constructed on the three legs of any triangle, the centers of the three new triangles will also form an equilateral triangle. In the figure the original triangle is labeled A, B, C, and the centers of the three equilateral triangles are A', B', C'. If the segments from A to A', B to B', and C to C' are drawn they always intersect in a single point, called the First Napoleon Point. If the three equilateral triangles are drawn interior to the original triangle, the centers will still form an equilateral triangle, but the segments connecting the centers with the opposite vertices of the original triangle meet in a (usually) different point, called the 2nd Napoleon Point.
Napoleon’s Theorem | Futility Closet Jul 7, 2010 This discovery is traditionally credited to Napoleon, but there s no evidence supporting that contention. Indeed, this theorem is said to be http://www.futilitycloset.com/2010/07/07/napoleons-theorem/
Extractions: Skip to content Skip to search - Accesskey = s Posted in by Greg Ross on July 7th, 2010 Construct equilateral triangles on the sides of any triangle, and their centers will form an equilateral triangle. See A Better Nature (Image: Wikimedia Commons Leave a comment ... Name (required) Mail (will not be published) (required) Website of compendious amusements The Journalist template by Lucian Marin - Built for WordPress
YouTube - Napoleon's Theorem Oct 7, 2008 No matter what shape the green triangle has, the red triangle is always equilateral. For more information, films, and interactive material, http://il.youtube.com/watch?v=pmUwPPcH8BQ
