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Topic: Heptadecagon

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	Constructing the Heptadecagon (Site not responding. Last check: 2007-10-28)
		The points V, V3, and V5 are the zeroth, third, and fifth vertices of a regular heptadecagon, from which the remaining vertices are easily found (i.e., bisect angle V3 O V5 to locate V4, etc.).
		Gauss was clearly fond of this discovery, and there's a story that he asked to have a heptadecagon carved on his tombstone, like the sphere incribed in a cylinder on Archimedes' tombstone.
		On the other hand, if proximity to the actual remains is not important, then the heptadecagon on the monument to Gauss in his native town of Brunswick, or even the figure above, may suffice.
	www.mathpages.com /home/kmath487.htm (549 words)

	Heptadecagon (Site not responding. Last check: 2007-10-28)
		In geometry, a heptadecagon 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.
	www.wikimoz.org /wiki/en/wikipedia/h/he/heptadecagon.html (121 words)

	info: Heptadecagon (Site not responding. Last check: 2007-10-28)
		Heptadecagon -- from Wolfram MathWorldThe regular polygon of 17 sides is called the heptadecagon, or sometimes the heptakaidecagon.
		Constructing the HeptadecagonConstructing the Heptadecagon The ancient Greek geometers devoted considerable thought to the question of which regular n-gons could be constructed by straightedge and compass.
		A regular polygon with 17 sides (regular heptadecagon) can be constructed with a ruler and a...
	www.napoli-pizza.net /Heptadecagon.html (286 words)

	Regular Heptadecagon
		Mayu told me (on 21:03:28 Monday, 1st January 2001 on my BBS) a story in the TV drama Yamato-Nadeshiko, which is how to draw a regular heptadecagon when a wedding cake equally divided into 68 parts.
		Therefore it is a sensation that a regular heptadecagon is constructible.
		Therefore cos phi is constructible hence a regular heptadecagon is.
	www.nn.iij4u.or.jp /~hsat/engl/heptadecagon.htm (2060 words)

	[No title] (Site not responding. Last check: 2007-10-28)
		Then, if perpindiculars to OA are drawn at N3 and N5 they strike the main circle (the one centered at O through A and B) at points P3 and P5.
		The points A, P3, and P5 are the zeroth, third, and fifth verticies of a regular heptadecagon, from which the remaining verticies are easily found (i.e., bisect angle P3 O P5 to locate P4, etc.).
		I've heard that this story is apochryphal (about Gauss, not about Archimedes), but it's apparently true that Gauss's discovery of the 17-gon's constructibility (which had been an open problem from antiquity) at or before the age of 19 led to his decision to follow a career in mathematics rather than philology.
	www.math.niu.edu /~rusin/known-math/98/heptadecagon (485 words)

	Untitled Document
		The discoverer was an unknown adolescent named Carl Friedrich Gauss, and his achievement was the construction, with compass and straightedge only, of a regular heptadecagon-that is, a regular polygon of 17 sides.
		No one had suspected that such a construction was possible, and if less effort had been expended trying to construct 17-gons than trying to trisect angles, it was because the former seemed much more improbable than the latter.
		His observation raises the unsettling possibility that, had it not been for the regular heptadecagon, Carl Friedrich Gauss might have become a cobbler or wine taster.
	www.acs.appstate.edu /orgs/centroid/whatsnew.htm (1425 words)

	Heptadecagon (Site not responding. Last check: 2007-10-28)
		He requested that a heptadecagon - a regular 17-sided polygon - be carved on his tombstone.
		He was proud that he had given a proof of its construction.
		Note: Modern stone masons can reproduce a picture of the heptadecagon, or almost any image, by using a laser and computer software.
	curvebank.calstatela.edu /birthdayindex/feb/feb23heptadecagon/feb23heptadecagon.htm (97 words)

	Reference.com/Encyclopedia/Heptadecagon
		In geometry, a heptadecagon (or 17-gon) is a seventeen-sided polygon.
		A regular heptadecagon has internal angles each measuring
		The regular heptadecagon is a constructible polygon, as was shown by Carl Friedrich Gauss in 1796.
	www.reference.com /browse/wiki/Heptadecagon (208 words)

	Heptadecagon trigonometric function External links Carl Friedrich Gauss geometry constructible polygon polygon ... (Site not responding. Last check: 2007-10-28)
		Heptadecagon trigonometric function External links Carl Friedrich Gauss geometry constructible polygon polygon Ruler-and-compass construction See also tombstone
		In geometry, a heptadecagon (or 17-gon) is a seventeen-sided polygon.A regular heptadecagon has internal angles each measuring 158.823529411765 degrees.
		Constructing the Heptadecagon Generalizing Pythagoras and Carnot Iterative Isoscelizing...
	en.powerwissen.com /hA7pp5lYuQwko63QAZtrUA%3D%3D_Heptadecagon.html (190 words)

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