Displaying similar documents to “Über eine Anwendung der Phasentheorie”

Laguerresche Differentialgeometrie und Kinematik

Zdeněk Jankovský (1995)

Mathematica Bohemica

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In this paper the plane Laguerre’s geometry in the augmented plane of dual numbers is presented. Basic integral and differential invariants of -curves in the plane are deduced, i.e. the -curve arc, -curvature, -minimal curves, -circle. Furthermore the contact of -curves, -osculating circle, -evolute of a curve and some special -motions are studied from the point of view of -Differential geometry.