Geodesic
Laguerresche Differentialgeometrie und Kinematik
Mathematica Bohemica, Tome 120 (1995) no. 1, pp. 29-40.

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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 $\cal L$-curves in the plane are deduced, i.e. the $\cal L$-curve arc, $\cal L$-curvature, $\cal L$-minimal curves, $\cal L$-circle. Furthermore the contact of $\cal L$-curves, $\cal L$-osculating circle, $\cal L$-evolute of a curve and some special $\cal L$-motions are studied from the point of view of $\cal L$-Differential geometry.
DOI : 10.21136/MB.1995.125894
Classification : 51B15, 53A17, 53A35, 53A40
Mots-clés : Laguerre geometry in the isotropic plane; differential geometric properties of curves; Laguerre geometries 
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Jankovský, Zdeněk. Laguerresche Differentialgeometrie und Kinematik. Mathematica Bohemica, Tome 120 (1995) no. 1, pp. 29-40. doi : 10.21136/MB.1995.125894. http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.125894/

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