Displaying similar documents to “Laguerresche Differentialgeometrie und Kinematik”

Double points on characteristics

Otto Röschel (1995)

Applications of Mathematics

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Double Points on Characteristics. A fixed surface Φ of a moving space Σ will envelope a surface of the fixed space Σ ' , if we move Σ with respect to Σ ' . In the general case at each moment of the one-parameter motion there exists a curve c on Φ , along which the position of Φ and the enveloped surface are in contact. In the paper we study the interesting special case, where c has some double point P ∈ Φ . This depends on relations between differential geometric properties in the neighbourhood...