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31
2000 Guts #31: Constructing point on segment
2000 Guts #31: Constructing point on segment
Source:
October 25, 2014
Problem Statement
Given collinear points
A
,
B
,
C
A,B,C
A
,
B
,
C
such that
A
B
=
B
C
AB = BC
A
B
=
BC
. How can you construct a point
D
D
D
on
A
B
AB
A
B
such that
A
D
=
2
D
B
AD = 2DB
A
D
=
2
D
B
, using only a straightedge? (You are not allowed to measure distances)
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