Difficult:
I got lost at the end of the proof of theorem 21.2, most of page 243, specifically.
Reflective:
It's not exactly clear to me how this result is so close to proving Galois theory; I do remember needing roots of unity, but how it leads to finding the rest is beyond me. Nevertheless, it is interesting that the history of mathematics could have taken a different turn if Vandermonde was more rigorous in his assertion that roots of unity had non-trivial radical expressions.
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