The regular seventeen-gon

Start with the circle centered at A and going through P(0).  Let the perpendicular at A intersect the circle at B.  Let C be placed such that AC is one quarter of AB.  Let CD quadrisect the angle P(0)CA.  Let E be the point on the line AP(0) such that the angle ECD is 45⁰.  Construct the circle with diameter EP(0), and let it intersect AB at F.  Construct the circle centered at D and through F.  Let this circle intersect AP(0) at G and H.  The perpendiculars at G and H intersect the original circle at P(3), P(5), P(12) and P(14).  Construct the circle centered at P(3) and through P(5).  This intersects the original circle again at P(1), and using P(0) and P(1), we can find all the vertices of the regular seventeen-gon.

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