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Draw any line segment
. Without measuring
, construct a copy of
?
The following steps will be followed to draw the given line segment
and to construct a copy of
.
(1) Let
be the given line segment.
![]()
(2) Adjust the compasses up to the length of
.

(3) Draw any line l and mark a point A on it.
![]()
(4) Put the pointer on point A, and without changing the setting of compasses, draw an arc to cut the line segment at point B.
![]()
is the required line segment.
Given some line segment
, whose length you do not know, construct
such that the length of
is twice that of
?
The following steps will be followed to construct a line segment
such that the length of
is twice that of
.
(1) Let
be the given line segment.
![]()
(2) Adjust the compasses up to the length of
.

(3) Draw any line l and mark a point P on it.
![]()
(4) Put the pointer on P and without changing the setting of compasses, draw an arc to cut the line segment at point X.
![]()
(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line l at point Q.
![]()
is the required line segment.
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