Evolutes and involutes of frontals in the Euclidean plane

Fukunaga, Tomonori; Takahashi, Masatomo

Hokkaido University Preprint Series in Mathematics, 2014, 1052, 1-20

Permalink : https://doi.org/10.14943/84196

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アクセス権	open access
DOI	https://doi.org/10.14943/84196
URI	https://hdl.handle.net/2115/69856
タイトル	Evolutes and involutes of frontals in the Euclidean plane
著者	著者名 Fukunaga, Tomonori
著者	著者名 Takahashi, Masatomo
言語	英語
キーワード	evolute
	involute
	frontal
	Legendre curve
	inflection point
発行日	2014-03-31
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1052
ページ	1-20
抄録	We have already defined the evolutes and the involutes of fronts without inflection points. For regular curves or fronts, we can not define the evolutes at inflection points. On the other hand, the involutes can be defined at inflection points. In this case, the involute is not a front but a frontal at inflection points. We define evolutes of frontals under conditions. The definition is a generalisation of both evolutes of regular curves and of fronts. By using relationship between evolutes and involutes of frontals, we give an existence condition of the evolute with inflection points. We also give properties of evolutes and involutes of frontals.
資源タイプ	紀要論文
出版タイプ	Version of Record