منابع مشابه
Criteria for Two-dimensional Circle Planes
We give some easy to use criteria for deciding whether a MM obius plane, Laguerre plane or Minkowski plane, given in some normal form, is 2-dimensional. As an application of our results we prove that a Laguerre plane or Minkowski plane with a given topology on the point set is a (topological) 2-dimensional plane if and only if each derived aane plane at points of at least one parallel class is ...
متن کاملCircle Geometry and Three–Dimensional Subregular Translation Planes
Algebraic pencils of surfaces in a three–dimensional circle geometry are used to construct several infinite families of non-André subregular translation planes which are three–dimensional over their kernels. In fact, exponentially many such planes of a given order are constructed for both even and odd characteristic.
متن کاملVirtual Points and Separating Sets in Spherical Circle Planes
In this paper we introduce and investigate virtual points of spherical circle planes and use them to construct several new types of separating sets of circles in such geometries. Two spherical circle planes combine very naturally into another spherical circle plane if they share such a separating set of circles. MSC2000: 51B10, 51H15
متن کاملThe Manifold of Planes that Intersect Four Straight Lines in Points of a Circle
In this text, we study the set L of planes in three-dimensional euclidean space E3 that intersect four straight lines in points of a circle. The manifold of solution planes L is, in general, of dimension two. Furthermore, there are numerous ways of seeing that it is algebraic. We will give two independent proofs for that. Both also yield the class of L (it is seven). Our investigations heavily ...
متن کاملflambement des structures planes
l'utilisation de nouvaux materiaux aux caracteristiques mecaniques elevtes et le perfectionement continu des methodes de calcu1,incitent les constructeur a edifier des structures de plus cn plus elancees , de ce fait le probleme du flambement prend une importance sans cesse accrue. la prtsente etude se rapporte a etablir les equations intrinseques d'une poutre droite a section constan...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1996
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700017044