Arc Trisection Analysis

After measuring a myriad of data points from arc trisections of numerous angles, relationships between variables have been difficult to nail down for a proof. But the the 90° Trisection using the 2012 method can be geometrically proven. Any perspectives are welcome in the comment section below. For the theory/construction video please see Trisecting an Angle's Arc: https://www.youtube.com/watch?v=GQmq4rLWwKI Or the latest, Obtuse Arc Construction: https://youtu.be/i57PHzjrh4k

Trisecting an Angle's Arc

Welcoming responses to the "Trisecting an Angle's Arc" video: https://www.youtube.com/watch?v=nV71rIWXaoY On this blog, you'll be able to upload drawings, comments and questions. As mentioned, "Any pointers or assistance in proving/disproving this construction would be appreciated." Thank you, I hope we can discover something! 

Here's its construction in Cartesian orientation: