Displaying similar documents to “Beweis einer extremaleigenschaft der symmetrischen Kugelzone”

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 ℒ -curves in the plane are deduced, i.e. the ℒ -curve arc, ℒ -curvature, ℒ -minimal curves, ℒ -circle. Furthermore the contact of ℒ -curves, ℒ -osculating circle, ℒ -evolute of a curve and some special ℒ -motions are studied from the point of view of ℒ -Differential geometry.