# Constructions Using Conics

## Related Articles

- The Gauss-Bonnet theorem for vector bundles. Bell, Denis // Journal of Geometry;2006, Vol. 85 Issue 1/2, p15
We give a short proof of the Gauss-Bonnet theorem for a real oriented Riemannian vector bundle E of even rank over a closed compact orientable manifold M. This theorem reduces to the classical Gauss-Bonnet-Chern theorem in the special case when M is a Riemannian manifold and E is the tangent...

- The Heptagon to the Square, and Other Wild Twists. Frederickson, Greg N. // Mathematical Intelligencer;Fall2007, Vol. 29 Issue 4, p23
The article illustrates a way of extending the range of twist-dissections of one polygon to another using special-purpose techniques. These include the technique of crosspointing strips to produce dissections with some swing hinges as well as a technique to replace swing hinges with twist...

- RESOURCE NOTES. Rose, Mike // Mathematics in School;May2011, Vol. 40 Issue 3, p38
In this article, the author suggests some approaches which can be used by mathematics teachers in teaching the properties of regular dodecahedron to different levels of learners. He discusses the coordinate geometry approach in drawing a twelve-sided polygon which can be taught to KS 2/3 level...

- INSCRIBED CIRCLE OF GENERAL SEMI-REGULAR POLYGON AND SOME OF ITS FEATURES. STOJANOVIĆ, NENAD U. // International Journal of Geometry;Apr2013, Vol. 2 Issue 1, p5
If above each side of a regular polygon with n sides, we construct an isosceles polygon with k-1 equal sides we get an equilateral polygon with N = (k-1)n equal sides and different interior anglessemi regular polygons. Some metrical features and relations relating to the inscribed circle of the...

- doubling the cube. // Hutchinson Dictionary of Scientific Biography;2005, p1
Ancient Greek problem in geometrical construction, to derive a cube of exactly twice the volume of another cube of given measurement, using ruler and compass only.

- Common2 extended to stacks and unbounded concurrency. Afek, Yehuda; Gafni, Eli; Morrison, Adam // Distributed Computing;Nov2007, Vol. 20 Issue 4, p239
This paper extends Common2, the family of objects that implement and are wait-free implementable from 2 consensus objects, in two ways: First, the object is shown to be in the family, refuting a conjecture to the contrary [6]. Second, Common2 is investigated in the unbounded concurrency model,...

- Siegel’s Lemma and Sum-Distinct Sets. Iskander Aliev // Discrete & Computational Geometry;Mar2008, Vol. 39 Issue 1-3, p59
AbstractÂ Â Let L(x)=a 1 x 1+a 2 x 2+â‹…â‹…â‹…+a n x n , nâ‰¥2, be a linear form with integer coefficients a 1,a 2,â€¦,a n which are not all zero. A basic problem is to determine nonzero integer vectors x such that L(x)=0, and the maximum norm â€–xâ€– is...

- A Geometric Construction by Folding and Cutting. Jakubowski, Elizabeth; Ünal, Hasan // Mathematics in School;Nov2008, Vol. 37 Issue 5, p10
The article discusses geometric construction by folding and cutting. The development of deductive arguments to justify a given statement is the focus of approaches in a secondary level geometry course but often, the way of presenting a proof obscures the mathematics being studied. The author...

- ON LEFT INVARIANT CR STRUCTURES ON SU(2). Čap, Andreas // Archivum Mathematicum;2006, Vol. 42, p185
There is a well known one-parameter family of left invariant CR structures on SU(2) â‰… SÂ³. We show how purely algebraic methods can be used to explicitly compute the canonical Cartan connections associated to these structures and their curvatures. We also obtain explicit descriptions of...