Displaying similar documents to “Three-parametric robot manipulators with parallel rotational axes”

Two-parametric motions in E 3

Adolf Karger (1987)

Aplikace matematiky

Similarity:

The paper deals with the local differential geometry of two-parametric motions in the Euclidean space. The first part of the paper contains contemporary formulation of classical results in this area together with the connection to the elliptical differential geometry. The remaining part contains applications. Necessary and sufficient conditions for splitting of a two-parametric motion into a product of two one-parametric motions, characterization of motions with constant invariants and...

The Darboux theorem on plane trajectories of two-parametric space motions

Adolf Karger (1988)

Aplikace matematiky

Similarity:

The paper contains the proof of the classification theorem for two-parametric space motions with at least 5 points with plane trajectories. The proof is based on [1] and on the cannonical form of a certain tensor of order 3. The second part of the paper deals with the problem of plane trajectories from the differential-geometrical point of view. Some applications are given.