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Eotvos Mathematical Competition (Hungary)
1917 Eotvos Mathematical Competition
3
3
Part of
1917 Eotvos Mathematical Competition
Problems
(1)
infinite circles through A,B which lie entirely in k.
Source: Eotvos 1917 p3
9/10/2024
Let
A
A
A
and
B
B
B
be two points inside a given circle
k
k
k
. Prove that there exist (infinitely many) circles through
A
A
A
and
B
B
B
which lie entirely in
k
k
k
.
geometry
circles
combinatorial geometry