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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

Ömür, Neşe
Soydan, Gökhan
Ulutaş, Yücel Türker
Doğru, Yusuf

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Croatian Acad Sciences Arts

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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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Second order sequence, Triangle, Orthologic, Paralogic, Homologic, Science & technology, Physical sciences, Mathematics

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