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1. UNIT -I
UNIT -II
UNIT -III
UNIT -IV
UNIT -V

3.  It is a curve generated by a point on the circumference of
the circle as the circle rolls along a straight line with out
slipping.
CYCLOID
 The moving circle is called the "Generating circle"
 the straight line is called the "Directing line" or the "Base line".
 The point on the Generating circle which generates the curve is called
the "Generating point“.

4. Fig: 3
.
Circle / Generating circle
Point / Generating point
Fig: 1
Fig: 2
straight line / Directing line/ Base line
.
.

12. Fig 1 Fig 2
Fig 3 Fig 4

14. Step1: Draw the generating circle and the base line equal to the circumference of the generating circle.
Step 2 : Divide the circle and the base line in to equal number of parts. also erect the perpendicular lines
from the division of the line
Step 3: with your compass set to the radius of the circle and centers as C1,C2,C3,.... etc cut the arcs on the
lines from circle through 1,2,3, .. etc.

15. Step 4: locate the points which are produced by cutting arcs and joining by a smooth curve.
• By joining these new points you will have created the locus of the point P for the circle as it rotates
along the straight line with out slipping
As our final result is a cycloid