{"title":"Generalized Involute and Evolute Curve-Couple in Euclidean Space","authors":"M. Hanif, Z. Hou","doi":"10.12816/0049059","DOIUrl":null,"url":null,"abstract":"Evolute curves were studied by some researchers in 4 dimensional Euclidean space. However the special characters of the curve are not considered which is a research gap in this technique. In this study a kind of generalized involute and evolute curve-couple is considered in 4 dimensional Euclidean space. The necessary and sufficient condition for the curve possessing generalized involute as well as evolute is obtained.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0049059","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
Evolute curves were studied by some researchers in 4 dimensional Euclidean space. However the special characters of the curve are not considered which is a research gap in this technique. In this study a kind of generalized involute and evolute curve-couple is considered in 4 dimensional Euclidean space. The necessary and sufficient condition for the curve possessing generalized involute as well as evolute is obtained.