Bertrand and Mannheim Partner D-curves on Parallel Surfaces

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KIZILTUĞ S., Önder M., Tarakcı Ö.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.35, no.2, pp.159-169, 2017 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 35 Issue: 2
• Publication Date: 2017
• Doi Number: 10.5269/bspm.v35i2.24309
• Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.159-169
• Open Archive Collection: AVESIS Open Access Collection
• Erzincan Binali Yildirim University Affiliated: Yes

Abstract

In this paper we study Bertrand and Mannheim partner D-curves on parallel surface. Using the definition of parallel surfaces, first we find images of two curves lying on two different surfaces and satisfying the conditions to be Bertrand partner D-curve or Mannheim partner D-curve. Then we obtain relationships between Bertrand and Mannheim partner D-curves and their image curves.