Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 2, pp. 567582 (2006) 

Equiform kinematics and the geometry of line elementsBoris Odehnal, Helmut Pottmann and Johannes WallnerInstitut für Diskrete Mathematik und Geometrie, TU Wien, Wiedner Hauptstr. 810/104, A1040 Wien, AustriaAbstract: The present paper studies Plücker coordinates for line elements in Euclidean threespace. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties. Keywords: line geometry, line element, linear complex, spiral motion, equiform kinematics. Classification (MSC2000): 51M30, 53A17 Full text of the article:
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