Cross ratio in sphere geometry and its application to mechanism design

Deng Maw Lu, Chi Feng Chang, Wen Miin Hwang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper a cross ratio theory applied in sphere geometry and its application on the spherical mechanism is presented. By expanding the cross ratio concept in plane geometry, cross ratio is proved to be equally valid in sphere geometry. Then, an alternative form of spherical cross ratio is proposed. An application of spherical cross ratio for the design of spherical four-bar mechanisms is presented.

Original languageEnglish
Pages (from-to)219-226
Number of pages8
JournalJournal of the Franklin Institute
Volume332
Issue number2
DOIs
Publication statusPublished - 1995 Mar

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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