
Re: Nonconstructible numbers of degree 4
Posted:
Dec 8, 2013 3:27 AM


On 06/12/2013 10:22, quasi wrote:
>> Can anyone tell me where to find examples of impossible >> constructions which lead to algebraic numbers of degree four >> (or, more generally, some power of 2)? > > Here's one: > > Construct a cyclic 10gon with 9 sides of length 1 and > the remaining side of length 2. > > The radius r is a nonconstructible number with algebraic > degree 8 over Q.
Thanks a lot. I was looking after examples such as this one and the one you mentioned after it.
Best regards,
Jose Carlos Santos

