Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0878.51005
Videla, Carlos R.
On points constructible from conics. (English)
[J] Math. Intell. 19, No.2, 53-57 (1997). ISSN 0343-6993; ISSN 1866-7414/e

It is known that some geometric constructions are impossible if one uses just a straightedge and compass. What if one is allowed to use conics? It was known to the ancient Greeks that (i) duplication of the cube is possible by using a parabola (Menaechmus), (ii) trisection of an arbitrary angle is possible by using a hyperbola (Pappus), (iii) a regular heptagon can be constructed (Archimedes).\par In the present paper, the author considers the problem of which points are constructible from conics. In particular, he determines which regular polygons are conic-constructible.
[E.J.F.Primrose (Leicester)]

MSC 2000:: *51M15 Geometric constructions

Keywords: points; regular polygons; conic-constructible

Cited in: Zbl 1052.51504

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]