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Sharygin Geometry Olympiad
2005 Sharygin Geometry Olympiad
9.3
9.3
Part of
2005 Sharygin Geometry Olympiad
Problems
(1)
set of midpoints where ends lie on different arcs AB of the same circle
Source: Sharygin 2005 Finals 9.3
8/26/2019
Given a circle and points
A
,
B
A, B
A
,
B
on it. Draw the set of midpoints of the segments, one of the ends of which lies on one of the arcs
A
B
AB
A
B
, and the other on the second.
Locus
midpoints
geometry
arc