If anyone is interested in proofs without words, my undergrad advisor has published a bunch of them<p><a href="https://community.plu.edu/~edgartj/#pwws" rel="nofollow">https://community.plu.edu/~edgartj/#pwws</a>
What exactly is the first diagram supposed to be proving about angle trisection?<p>If it's trying to show a way to solve the problem, it's kind of missing the point of doing it with just a compass and straightedge. There are much simpler tools you can add that let you trisect an angle. And <i>the device depicted doesn't actually work</i>, because when you try to align the ends the middle points will poke through the paper.<p>If it's trying to argue that you need more tools than compass and straightedge it's just nonsense because you could make an analogous picture with a bisector yet angle bisection is trivial.