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Putnam
1968 Putnam
B3
B3
Part of
1968 Putnam
Problems
(1)
Putnam 1968 B3
Source: Putnam 1968
2/19/2022
Given that a
6
0
∘
60^{\circ}
6
0
∘
angle cannot be trisected with ruler and compass, prove that a
12
0
∘
n
\frac{120^{\circ}}{n}
n
12
0
∘
angle cannot be trisected with ruler and compass for
n
=
1
,
2
,
…
n=1,2,\ldots
n
=
1
,
2
,
…
Putnam
geometry
constructions