{"title":"欧几里得空间中广义渐开线和渐开线曲线偶","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":"{\"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}","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}
Generalized Involute and Evolute Curve-Couple in Euclidean Space
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.
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