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All-Russian Olympiad
1985 All Soviet Union Mathematical Olympiad
417
417
Part of
1985 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 417 All Soviet Union MO 1985 circle's distance in different cube's planes
Source:
8/5/2019
The
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B
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D
A
1
B
1
C
1
D
1
ABCDA_1B_1C_1D_1
A
BC
D
A
1
B
1
C
1
D
1
cube has unit length edges. Find the distance between two circumferences, one of those is inscribed into the
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B
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D
ABCD
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BC
D
base, and another comes through points
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,
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A,C
A
,
C
and
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1
B_1
B
1
.
3D geometry
geometry
circles
distance
cube