{"title":"在平面运动学中的一些直线轨迹上","authors":"O. Bottema (Professor)","doi":"10.1016/0022-2569(70)90006-6","DOIUrl":null,"url":null,"abstract":"<div><p>In recent years generalizations of the Ball and Burmester problems of the following type have been considered: if a plane q moves in a prescribed manner with respect to a fixed plane Q, what is the locus of a point in q such that up to seven positions lie on a conic in Q. In this paper we derive the locus of a line in q such that either its five positions in Q are tangent to a parabola, or that its six positions are tangent to a conic. The loci are respectively of the second and the fourth class.</p></div>","PeriodicalId":100802,"journal":{"name":"Journal of Mechanisms","volume":"5 4","pages":"Pages 541-548"},"PeriodicalIF":0.0000,"publicationDate":"1970-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-2569(70)90006-6","citationCount":"3","resultStr":"{\"title\":\"On some loci of lines in plane kinematics\",\"authors\":\"O. Bottema (Professor)\",\"doi\":\"10.1016/0022-2569(70)90006-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In recent years generalizations of the Ball and Burmester problems of the following type have been considered: if a plane q moves in a prescribed manner with respect to a fixed plane Q, what is the locus of a point in q such that up to seven positions lie on a conic in Q. In this paper we derive the locus of a line in q such that either its five positions in Q are tangent to a parabola, or that its six positions are tangent to a conic. The loci are respectively of the second and the fourth class.</p></div>\",\"PeriodicalId\":100802,\"journal\":{\"name\":\"Journal of Mechanisms\",\"volume\":\"5 4\",\"pages\":\"Pages 541-548\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0022-2569(70)90006-6\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mechanisms\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0022256970900066\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mechanisms","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0022256970900066","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In recent years generalizations of the Ball and Burmester problems of the following type have been considered: if a plane q moves in a prescribed manner with respect to a fixed plane Q, what is the locus of a point in q such that up to seven positions lie on a conic in Q. In this paper we derive the locus of a line in q such that either its five positions in Q are tangent to a parabola, or that its six positions are tangent to a conic. The loci are respectively of the second and the fourth class.
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