In geometry, a heptadecagon (or 17-gon) is a seventeen-sided polygon. A regular heptadecagon has internal angles each measuring 158.823529411765 degrees. The regular heptadecagon is a constructible polygon, as was shown by Carl Friedrich Gauss in 1796. Gauss was so pleased by this that he asked for one to be inscribed on his tomb stone. Constructibility implies that trigonometric functions of 2π/17 can be expressed with basic arithmetic and square roots alone. Gauss' book ''Disquisitiones'' contains the following equation, given here in modern notation: : ==See also== *Ruler-and-compass construction ==External links== You can see how to construct a regular 17-gon geometrically at either of :http://www.showmath.co.kr/const/polygon/rpoly17.html (Korean, flash) :http://www.geocities.com/RainForest/Vines/2977/gauss/formulae/heptadecagon.html :http://mathworld.wolfram.com/Heptadecagon.html :http://www.jimloy.com/geometry/17-gon.htm And you can see the algebraic aspect (by Gauss) in this book : 'Famous Problems and Other Monographs' by F.Klein et al. :http://www.mathlove.org/bbs/data/mathfb/alg17gon.ppt Polygons
==Correct nomenclature?== John Conway (no crank or nut) insists "heptadecagon" is wrong and should be called "Heptakaidecagon", anyone know about this? *I don't, but I think that it's fine how it is, as it seems to me that -kai- adds length without adding clarity. User:Jonathan48 21:56, 15 Feb 2005 (UTC) ==Construction animation== There are links on this article to a Korean heptadecagon construction animation, which is good besides being unable to read it. But I'm wondering, since Wikipedia should be a repository of knowledge and not a collection of links to other places with that knowledge, should I post a heptadecagon construction animation as I have for other polygons? I'm hesitant because it'd be messy and about 360KB. User:Jonathan48 21:56, 15 Feb 2005 (UTC)
See other meanings of words starting from letter:
Words begining with Heptadecagon:
Heptadecagon
Heptadecagon
Heptadecagon
In geometry, a heptadecagon (or 17-gon) is a seventeen-sided polygon. A regular heptadecagon has internal angles each measuring 158.823529411765 degrees. The regular heptadecagon is a constructible polygon, as was shown by Carl Friedrich Gauss in 1796. Gauss was so pleased by this that he asked for one to be inscribed on his tomb stone. Constructibility implies that trigonometric functions of 2π/17 can be expressed with basic arithmetic and square roots alone. Gauss' book ''Disquisitiones'' contains the following equation, given here in modern notation: : ==See also== *Ruler-and-compass construction ==External links== You can see how to construct a regular 17-gon geometrically at either of :http://www.showmath.co.kr/const/polygon/rpoly17.html (Korean, flash) :http://www.geocities.com/RainForest/Vines/2977/gauss/formulae/heptadecagon.html :http://mathworld.wolfram.com/Heptadecagon.html :http://www.jimloy.com/geometry/17-gon.htm And you can see the algebraic aspect (by Gauss) in this book : 'Famous Problems and Other Monographs' by F.Klein et al. :http://www.mathlove.org/bbs/data/mathfb/alg17gon.ppt Polygons
Heptadecagon
==Correct nomenclature?== John Conway (no crank or nut) insists "heptadecagon" is wrong and should be called "Heptakaidecagon", anyone know about this? *I don't, but I think that it's fine how it is, as it seems to me that -kai- adds length without adding clarity. User:Jonathan48 21:56, 15 Feb 2005 (UTC) ==Construction animation== There are links on this article to a Korean heptadecagon construction animation, which is good besides being unable to read it. But I'm wondering, since Wikipedia should be a repository of knowledge and not a collection of links to other places with that knowledge, should I post a heptadecagon construction animation as I have for other polygons? I'm hesitant because it'd be messy and about 360KB. User:Jonathan48 21:56, 15 Feb 2005 (UTC)
See other meanings of words starting from letter:
H
HA | HB | HC | HD | HE | HF | HG | HI | HJ | HK | HL | HM | HN | HO | HP | HR | HS | HT | HU | HW | HX | HY | HZ |Words begining with Heptadecagon:
Heptadecagon
Heptadecagon
These materials are based on Wikipedia and licensed under the GNU FDL
YouTube.com videos better site than Turbo Tax 2007
