ON TRIANGLES WITH COORDINATES OF VERTICES FROM THE TERMS OF THE SEQUENCES {U-kn} AND {V-kn}

ÖMÜR N., SOYDAN G., TÜRKER ULUTAŞ Y., Dogru Y.

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, cilt.24, sa.542, ss.15-27, 2020 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 542
  • Basım Tarihi: 2020
  • Doi Numarası: 10.21857/ydkx2cwq49
  • Dergi Adı: RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.15-27
  • Anahtar Kelimeler: Second order sequence, triangle, orthologic, paralogic, homologic
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we determine some results of the triangles with coordinates of vertices involving the terms of the sequences {U-kn} and {V-kn} where U-kn are terms of a second order recurrent sequence and V-kn are terms in the companion sequence for odd positive integer k, generalizing works of Cerin. For example, the cotangent of the Brocard angle of the triangle Delta(kn) is