Remarks on F-planar curves and their generalizations

Jaroslav Hrdina

Displaying similar documents to “Remarks on F-planar curves and their generalizations”

Almost complex projective structures and their morphisms

Jaroslav Hrdina (2009)

Archivum Mathematicum

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We discuss almost complex projective geometry and the relations to a distinguished class of curves. We present the geometry from the viewpoint of the theory of parabolic geometries and we shall specify the classical generalizations of the concept of the planarity of curves to this case. In particular, we show that the natural class of J-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving of this class turns out to be the necessary...

Tangential Symmetries of Planar Curves and Space Curves

Bernd Wegner (1999)

Visual Mathematics

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Envelope construction of two-parameteric system of curves in the technological practice

Bartoň, Stanislav, Petřík, Michal

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A two-parametric system of close planar curves is defined in the introduction of the presented article. Next a theorem stating the existence of the envelope is presented and proved. A mathematical model of the collecting mechanism of the Horal forage trailer is developed and used for practical demonstrations. The collecting mechanism is a double joint system composed of three rods. An equation describing the trajectory of a random point of the working rod is derived using Maple. The...