HOMOTHETIC-MOTIONS AT E(8) WITH CAYLEY NUMBERS

YAYLI Y., BUKCU B.

MECHANISM AND MACHINE THEORY, vol.30, no.3, pp.417-420, 1995 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 1995
  • Doi Number: 10.1016/0094-114x(94)00037-l
  • Journal Name: MECHANISM AND MACHINE THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.417-420
  • Ankara University Affiliated: Yes

Abstract

In this paper, a matrix which is similar to Hamilton operators has been developed for Cayley numbers in eight dimensional Euclidean space E(8) and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it has been found that the motion defined by regular curve of order r has only one acceleration centre of order (r - 1) at every instant.