Métodos para o cálculo da área do corpo de uma guitarra

Abstract

This final course work (TCC) addresses the calculation of the area of a BC Rich JRV guitar body, a brand with a rich history in the music world. The study begins with an exploration of the historical context of the emergence of the guitar and the BC Rich brand, providing a deeper understanding of the importance of this musical instrument. The work then delves into mathematics, using three different methods to calculate the area of the guitar body: the subdivision method, the integral method, and the Gauss area method, also known as the Shoelace Method. Each method is explored in detail, including its historical context, providing a comprehensive view of how these mathematical techniques were developed and how they can be applied. Finally, the work applies these three methods to calculate the area of the BC Rich JRV guitar body. Each method produces a distinct value for the area, suggesting that the real area may be one of these, or something very close. This discovery highlights the complexity and beauty of both mathematics and music, and how they can intertwine in surprising ways.