A Unified Geometric Proof of Aristarchus’ Inequality

Summary

We present a refined, simplified, and unified proof of Aristarchus’ inequality, without resorting to trigonometry, calculus or extended geometric arguments.

MSC:

• 51M04

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Serhan Yarkan

SERHAN YARKAN (ORCID 0000-0001-6430-3009) received the B.S. and M.Sc. degrees in computer science from Istanbul University, Istanbul, Turkey, in 2001 and 2003, respectively, and the Ph.D. degree from the University of South Florida, Tampa, FL, USA, in 2009. He was a Post-Doctoral Research Associate with the Department of Computer and Electrical Engineering, Texas A&M University, College Station, TX, USA, from 2010 to 2012. Currently, he is a full professor in the Department of Electrical-Electronics Engineering, at Istanbul Commerce University, Istanbul.

Ali Boyaci

ALI BOYACI (ORCID 0000-0002-2553-1911) received the B.S. and M.Sc. degrees in computer science from Istanbul University, Istanbul, Turkey, in 2007 and 2010, respectively, and the Ph.D. degree from the Yildiz Technical University, Istanbul, Turkey, in 2015. He worked as a software engineer at Nortel Networks and project leader at Huawei from 2007 to 2012. Currently, he is an assistant professor with the Department of Computer Engineering, at Istanbul Commerce University, Istanbul.