The “Four Circles” of the Violin: The Corner Equations

<p>In<a href="https://eu-u6.medium.com/the-four-circles-of-the-violin-the-body-equations-ca41046389ca" rel="noopener">&nbsp;Part 2</a>, I derived five generalised equations to describe the body of violin, based off Kevin Kelly&rsquo;s&nbsp;<a href="http://www.kellyviolins.com/design-page.html" rel="noopener ugc nofollow" target="_blank">Four Circles</a>&nbsp;system. In this section, I will complete the generalisation of the violin outline by deriving expressions for the corners of the violin.</p> <p><strong>Terminology</strong></p> <p>Adhering to my terminology in Part 2, &ldquo;body&rdquo; refers to the area enclosed by the lower, centre, and upper bouts, while &ldquo;violin&rdquo; denotes the entire soundbox and includes the corners and the body. I will use &ldquo;corner&rdquo; to refer to the aesthetic projections on the sides of the violin.</p> <p><a href="https://eu-u6.medium.com/the-four-circles-of-the-violin-the-corner-equations-5142367ca7cd"><strong>Website</strong></a></p>