Bertrand and Mannheim Partner D-curves on Parallel Surfaces

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KIZILTUĞ S., Önder M., Tarakcı Ö.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.35, sa.2, ss.159-169, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.5269/bspm.v35i2.24309
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.159-169
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

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.