Izvorni znanstveni članak
https://doi.org/10.21857/ydkx2cwq49
On triangles with coordinates of vertices from the terms of the sequences {U_kn} and {V_kn}
Neşe Ömür
; Department of Mathematics, Kocaeli University, 41380 Izmit-Kocaeli, Turkey
Gökhan Soydan
orcid.org/0000-0002-6321-4132
; Department of Mathematics, Bursa Uludag University, 16059 Bursa, Turkey
Yücel Türker Ulutaş
; Department of Mathematics, Kocaeli University, 41380 Izmit-Kocaeli, Turkey
Yusuf Doğru
; Hava Eğitim Komutanlığı, Konak-Izmir, Turkey
Sažetak
In this paper, we determine some results of the triangles with coordinates of vertices involving the terms of the sequences {Ukn} and {Vkn} where Ukn are terms of a second order recurrent sequence and Vkn are terms in the companion sequence for odd positive integer k, generalizing works of Čerin. For example, the cotangent of the Brocard angle of the triangle Δkn is cot(ΩΔkn = (Uk(2n+3)V2k − Vk(2n+3)Uk) / ((−1)nU2k).
Ključne riječi
Second order sequence; triangle, orthologic; paralogic; homologic.
Hrčak ID:
243388
URI
Datum izdavanja:
15.9.2020.
Posjeta: 826 *