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Poland - Second Round
1963 Poland - Second Round
6
6
Part of
1963 Poland - Second Round
Problems
(1)
3 planes intersect along one line
Source: Polish MO Second Round 1963 p6
8/31/2024
From the point
S
S
S
of space arise
3
3
3
half-lines:
S
A
SA
S
A
,
S
B
SB
SB
and
S
C
SC
SC
, none of which is perpendicular to both others. Through each of these rays, a plane is drawn perpendicular to the plane containing the other two rays. Prove that the drawn planes intersect along one line
d
d
d
.
geometry
3D geometry