
I had found a very precis method which the central angel error is 0.000026°。 The accumulation error is 0. 00026°,which is nearly perfect for the compass and straight.
And the more interesting is ,when you finish the construction ,the line and arc like paint. see the right picture.
I will not post the details and you can try yourself by stating from the two little squares in the central.
Good Luck and have a fun.