On Oresme Numbers and Their Geometric Interpretations

Year 2024, Volume: 14 Issue: 3, 1291 - 1300, 01.09.2024

Serpil Halıcı , Elifcan Sayın

https://doi.org/10.21597/jist.1421298

Abstract

In this study, we examined the Oresme sequences defined by Nicole Oresme. We examined the geometric interpretation of Oresme sequences with rational coefficients which are defined by A.F. Horadam as with initial conditions and . We defined the the vector of the Oresme sequence. We calculated the area and volume. We gave the general solution for four squares equation involving Oresme vectors. We calculated the Heron Formula of Oresme sequences. We defined the angle value between these sequences. We also obtained a relationship between the Oresme sequence and the generalized Fibonacci sequence in vector space. We calculated the area and volume of these sequence. We obtained important definitions and theorems for these sequences.

Keywords

Reccurences, Fibonnacci generalizations, Oresme numbers

Supporting Institution

Pamukkale University, Bilimsel Araştırma Projeleri Koordinatörlüğü

Project Number

2023FEBE002

Thanks

This work was supported by Scientific Research Projects (BAP) Coordination Unit of Pamukkale University. Project No. 2023FEBE002.

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