The regular seventeen-gon
The following is a construction of the regular seventeen-gon, due to Richmond
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
and let it intersect AB at F. Construct the circle
centered at D and through F. Let this circle intersect
at G and H. The perpendiculars at G and
H intersect the original circle at P(3),
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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This page was created November 30th, 1998.