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Divide the line segment [ab] into three equal parts

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- Draw the line segment [ab].
- Through a draw a line at an acute angle to [ab].
- On this line use circle arcs of the same radius to mark off three segments of equal length [ar], [rs] and [st].
- Join t to b.
- Throuth s and r draw line segments parallel to [tb] to meet [ab] at d and c.
- Now |ac|=|cd|=|db|

a

c

d

b

r

s

t