Publication: On triangles with coordinates of vertices from the terms of the sequences {u kn} and {vkn}
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Date
2020-01-01
Authors
Authors
Ömür, Neşe
Soydan, Gökhan
Ulutaş, Yücel Türker
Doğru, Yusuf
Journal Title
Journal ISSN
Volume Title
Publisher
Croatian Acad Sciences Arts
Abstract
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) iscot(Omega(Delta kn)) = Uk(2n+3) V-2k - Vk(2n+3)Uk/(-1)U-n(2k).
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Keywords
Second order sequence, Triangle, Orthologic, Paralogic, Homologic, Science & technology, Physical sciences, Mathematics