This is a simple mechanical calculator based on a cam and follower. By moving the reader to the desired angle, a pin slides in the cam on a scale, which you can read. It really works both ways, you can pick an angle and find it's sine, or pick a value of sine and read out the angle. It was a Christmas gift, but I got the idea from the videos of the mechanical calculators on navy battleships work.
I highly recommend the entire video, but the link starts about 5 minutes in near the part most relevant to this.
http://www.youtube.com/watch?v=s1i-dn...