Displaying similar documents to “Über die Fortsetzung einer Anordnung der affinen Klingenbergschen Ebene in einer Anordnung der projektiven Klingenbergschen Ebene. I.”

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...