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Galois Theory, 4th Edition
book

Galois Theory, 4th Edition

by Ian Nicholas Stewart
March 2015
Intermediate to advanced content levelIntermediate to advanced
344 pages
10h 18m
English
Chapman and Hall/CRC
Content preview from Galois Theory, 4th Edition
Chapter 20
Regular Polygons
We return with more sophisticated weapons to the time-honoured problem of ruler-
and-compass construction, introduced in Chapter 7. We consider the following ques-
tion: for which values of n can the regular n-sided polygon be constructed by ruler
and compass?
The ancient Greeks knew of constructions for 3-, 5-, and 15-gons; they also knew
how to construct a 2n-gon given an n-gon, by the obvious method of bisecting the
angles. We describe these constructions in Section 20.1. For about two thousand
years little progress was made beyond the Greeks. If you answered Exercises 7.16
or 7.17 you got further than they did. It seemed ...
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Publisher Resources

ISBN: 9781482245837