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Austrian-Polish
2000 Austrian-Polish Competition
2
2
Part of
2000 Austrian-Polish Competition
Problems
(1)
minimum distance of circles in different planes of a cube
Source: Austrian-Polish 2000
5/16/2019
In a unit cube,
C
G
CG
CG
is the edge perpendicular to the face
A
B
C
D
ABCD
A
BC
D
. Let
O
1
O_1
O
1
be the incircle of square
A
B
C
D
ABCD
A
BC
D
and
O
2
O_2
O
2
be the circumcircle of triangle
B
D
G
BDG
B
D
G
. Determine min
{
X
Y
∣
X
∈
O
1
,
Y
∈
O
2
}
\{XY|X\in O_1,Y\in O_2\}
{
X
Y
∣
X
∈
O
1
,
Y
∈
O
2
}
.
3-Dimensional Geometry
geometry
distance
minimum
3D geometry