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What kind of proof is THAT?!? Ok, I recognize it as a psuedo-high school geometry two-column proof, but this is circular. The first reason ("sum... = 180") is a result of the exterior angle theorem. 98.186.83.178 ( talk) 17:46, 12 December 2010 (UTC) ccw009@uark.edu
Furthermore (now that I've signed in), half of the "reasons" are omitted! This is pathetic - like my wikiediting abilities, which prevent me from fully revamping this article. 888Xristos ( talk) 17:56, 12 December 2010 (UTC)
I agree, when studying triangles, the exterior angle theorem is proved before the interior angle sum theorem. Weimer ( talk) 01:58, 25 April 2011 (UTC)
I noticed the large amount of poorly-formatted text on this site, whose style seemed kind of "incongruous" to that of the rest of the page, and decided to do some googling. I discovered it is copied off of: http://www.cut-the-knot.org/fta/Eat/EAT.shtml
From the site:
From the article:
(Relevant edit: http://en.wikipedia.org/?title=Exterior_angle_theorem&diff=537784503&oldid=537772417)
And it goes on, copying essentially the entirety of the cited page word-for-word. Even the links at the end of the article were copied (albeit in non-functional form)! As the site does not appear to license its content under a compatible Free license (see http://www.cut-the-knot.org/Terms.shtml), I've removed all this text (see WP:COPYVIO). But I would like to supply my own words that would go over the same points, since it did add useful information to the article. The problem, though, is I'm not sure if the given site (which would be an easy-at-hand source for citing) would be an adequate source for Wikipedia's purposes, even though the claims made there are not, I believe, "extraordinary". mike4ty4 ( talk) 09:27, 17 August 2013 (UTC)
According to Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, Princeton (2008), Page 220, the so-called "Exterior angle theorem" states that the exterior angles of any convex polygon sum to 2π.
Are there two "exterior angle theorems" to be disambiguated, or is one of these theorems wrongly named? — Cheers, Steelpillow ( Talk) 12:44, 20 February 2015 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
What kind of proof is THAT?!? Ok, I recognize it as a psuedo-high school geometry two-column proof, but this is circular. The first reason ("sum... = 180") is a result of the exterior angle theorem. 98.186.83.178 ( talk) 17:46, 12 December 2010 (UTC) ccw009@uark.edu
Furthermore (now that I've signed in), half of the "reasons" are omitted! This is pathetic - like my wikiediting abilities, which prevent me from fully revamping this article. 888Xristos ( talk) 17:56, 12 December 2010 (UTC)
I agree, when studying triangles, the exterior angle theorem is proved before the interior angle sum theorem. Weimer ( talk) 01:58, 25 April 2011 (UTC)
I noticed the large amount of poorly-formatted text on this site, whose style seemed kind of "incongruous" to that of the rest of the page, and decided to do some googling. I discovered it is copied off of: http://www.cut-the-knot.org/fta/Eat/EAT.shtml
From the site:
From the article:
(Relevant edit: http://en.wikipedia.org/?title=Exterior_angle_theorem&diff=537784503&oldid=537772417)
And it goes on, copying essentially the entirety of the cited page word-for-word. Even the links at the end of the article were copied (albeit in non-functional form)! As the site does not appear to license its content under a compatible Free license (see http://www.cut-the-knot.org/Terms.shtml), I've removed all this text (see WP:COPYVIO). But I would like to supply my own words that would go over the same points, since it did add useful information to the article. The problem, though, is I'm not sure if the given site (which would be an easy-at-hand source for citing) would be an adequate source for Wikipedia's purposes, even though the claims made there are not, I believe, "extraordinary". mike4ty4 ( talk) 09:27, 17 August 2013 (UTC)
According to Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, Princeton (2008), Page 220, the so-called "Exterior angle theorem" states that the exterior angles of any convex polygon sum to 2π.
Are there two "exterior angle theorems" to be disambiguated, or is one of these theorems wrongly named? — Cheers, Steelpillow ( Talk) 12:44, 20 February 2015 (UTC)