Document Details Document Type : Article In Journal  Document Title : A new geometrical approach to one-parameter spatial motion A new geometrical approach to one-parameter spatial motion   Subject : Mthematics  Document Language : English  Abstract : The geometry and kinematics of one-parameter dual spherical motions is presented using Study's dual-line coordinates. The relations between invariants of the axodes are expressed in simple form with geometrical reasoning and explanation. In terms of this, the dual version of associated space curves is demonstrated for a ruled surface to be associated with the axodes of the motion. The relative motion between the axodes is used for deriving the geometry and kinematics of the paths instantaneously traced in the fixed space by a line associated with the moving axode. Especially, the distribution parameter and the inflection-line congruence are investigated. Furthermore, a new metric is developed and used to investigate the geometrical properties and kinematics of line trajectory as well as Disteli axis. Finally, as an application an example is put forward and explained in detail. © Springer Science + Business Media B.V. 2007.  ISSN : 0022-0833  Journal Name : Journal of Engineering Mathematics  Volume : 60  Issue Number : 2  Publishing Year : 2008 AH 2008 AD  Number Of Pages : 4  Article Type : Article  Added Date : Sunday, October 18, 2009  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email Abdel-Baky, R.A Abdel-Baky, R.A Researcher Doctorate rbaky@hotmail.com فالح رجاء الله السلمي Al-Solamy, F.R Researcher Doctorate falleh@hotmail.com Back To Researches Page