250 Years Trying to Divide 360° Perfectly

Why does a circle have 360 degrees? Why did a worm gear design from 1862 survive into the CNC era? And why can software compensation never fully fix a worn rotary table? This is the 250 year story of humanity's attempt to divide a circle perfectly, told through the machines and the people who tried: Jesse Ramsden, Joseph R. Brown, Carl Zeiss Jena, Wilhelm Heidenhain, and the engineers behind today's 5 axis rotary tables from Lehmann, Tsudakoma, Nikken, and Kitagawa. Along the way we examine cumulative pitch error, backlash, incremental versus absolute encoders, ring encoders, roller gear cams, and two real world failures that cost tens of thousands of dollars. Engineering history for machinists Sources consulted and referenced in our research: Wikipedia - Hitomi (satellite): https://en.wikipedia.org/wiki/Hitomi_...) JAXA - ASTRO-H (Hitomi) project page: https://global.jaxa.jp/projects/sat/a... Heidenhain official company site and history: https://www.heidenhain.com/ Wikipedia - Jesse Ramsden: https://en.wikipedia.org/wiki/Jesse_R... Wikipedia - Rotary encoder: https://en.wikipedia.org/wiki/Rotary_... Wikipedia - Rotary table: https://en.wikipedia.org/wiki/Rotary_... Wikipedia - Machinery's Handbook: https://en.wikipedia.org/wiki/Machine... VintageMachinery.org manufacturer index (Brown & Sharpe, Cincinnati Milling Machine Co., Fellows Gear Shaper): http://vintagemachinery.org/mfgindex/ Wikipedia - Springfield Armory: https://en.wikipedia.org/wiki/Springf... etc... COPYRIGHT & FAIR USE NOTICE Some images, footage, and archival materials in this video are used for commentary, education, research, and historical documentation under Fair Use principles. We respect all copyright holders. If you own any material featured in this video and have concerns regarding its use or attribution, please contact us directly before filing a copyright claim or takedown request. We will be happy to review the matter and resolve it appropriately.