LOXODROMES ON CANAL SURFACES IN EUCLIDEAN 3-SPACE

TitleLOXODROMES ON CANAL SURFACES IN EUCLIDEAN 3-SPACE
Publication TypeJournal Article
Year of Publication2016
AuthorsBabaarslan M
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume103
Pagination97-103
ISSN0205-0808
Keywordscanal surface, Euclidean space, Loxodrome
Abstract
We obtain the differential equations of loxodromes on canal surfaces which cut all meridians or parallels at a constant angle in the Euclidean 3-space. Also we compute the arc-lengths of loxodromes and give some examples by using Mathematica to illustrate our results.
2000 MSC

53A04, 53A05

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