Cross ratio in sphere geometry and its application to mechanism design

Deng Maw Lu; Chi Feng Chang; Wen Miin Hwang

doi:10.1016/0016-0032(95)00042-1

Cross ratio in sphere geometry and its application to mechanism design

Deng Maw Lu, Chi Feng Chang, Wen Miin Hwang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	219-226
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	332
Issue number	2
DOIs	https://doi.org/10.1016/0016-0032(95)00042-1
Publication status	Published - 1995 Mar

All Science Journal Classification (ASJC) codes

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

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10.1016/0016-0032(95)00042-1

Cite this

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title = "Cross ratio in sphere geometry and its application to mechanism design",

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.",

author = "Lu, {Deng Maw} and Chang, {Chi Feng} and Hwang, {Wen Miin}",

year = "1995",

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AU - Lu, Deng Maw

AU - Chang, Chi Feng

AU - Hwang, Wen Miin

PY - 1995/3

Y1 - 1995/3

N2 - 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.

AB - 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.

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U2 - 10.1016/0016-0032(95)00042-1

DO - 10.1016/0016-0032(95)00042-1

M3 - Article

AN - SCOPUS:33747895130

SN - 0016-0032

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EP - 226

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 2

ER -

Cross ratio in sphere geometry and its application to mechanism design

Abstract

All Science Journal Classification (ASJC) codes

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