KoG, Vol. 8. No. 8., 2004.
Izvorni znanstveni članak
Shade Lines of Curved Surfaces - Linear Approach to Involution of Conjugate Tangents at Points of Translation Surfaces
Daniel Lordick
; Institut für Geometrie,Technische Universität Dresden, Dresden, Deutschland
Sažetak
In KoG 6 we introduced a global approach to the tangents of the shade lines of curved surfaces. The constructions are made by using an accompanying ruled surface along the shade line. In this paper the method is expanded to translation surfaces. In that way we get a linear access to the involution of conjugate tangents in those points of a surface where the curvature at two conjugate tangents is given. At the end of the paper a helical surface with circular cross section is handled as translation surface, which leads to additional elegant constructions for the tangents of its shade line. For more details on the general subject see [4].
Ključne riječi
curved surface; Dupin-indicatrix; ruled surface; shades and shadows
Hrčak ID:
3707
URI
Datum izdavanja:
17.2.2005.
Posjeta: 1.260 *