Key Points:

1. Three Ancient Greek Problems : a) Trisect an angle“, b) Doubling the Cube, c) Square a Circle
2. Field Theory
3. Abel
4. Galois
5. Proved by Wantzel 2 out of 3 Greek Problems: 1a) & 1b)

Note :1837 Pierre Wantzel proved 2 out of the 3 ancient Greek Problems “Trisect an angle” & Double a Cube, only 5 yrs after Galois had published his “Group & Field” Theories before death at 21.

Wantzel was the only person in French history who scored 1st in both Concours (法国抄袭中国的数学“科举“) of Ecole Normale & Ecole Polytechnique.
His life regret was switching from his talent in Math to becoming a mediocre Civil Engineer.

https://en.m.wikipedia.org/wiki/Pierre_Wantzel