The segment ΓΔ and the angle ΑΟΒ are moving with constant speed and agree with OA at the same time. The point Z is the section of segments OB and ΓΔ, and the red curve is the trace of Z. Using this curve we can find the trisects of an acute angle as seen in the applet.

theorhma.blogspot.com

theorhma.blogspot.com

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