Step by Step process of drawing cycloid

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Transcript of Step by Step process of drawing cycloid

Page 1: Step by Step  process of drawing  cycloid
Page 2: Step by Step  process of drawing  cycloid

A cycloid is a curve generated by a point on the circumference of a circleWhich rolls in a plane surface along a straight line without slipping

πD

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Principles of cycloid

Page 3: Step by Step  process of drawing  cycloid

Draw a circle with given diameter as shown

Diameter

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Divide the circle 12 equal parts as shown

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Name the points as shown

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πD

Draw a line equal to circumference i.e. πD as shown

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6Divide the line 12 equal parts as shown

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Draw a centre line as shown

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Draw a vertical line as shown from point 1

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Draw a horizontal line line as shown from point 1 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Draw vertical a line as shown from point 2

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Draw a horizontal line line as shown from point 2 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Draw a vertical line as shown from point 3

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Draw a horizontal line line as shown from point 3 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Draw a vertical line as shown from point 4

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Draw a horizontal line line as shown from point 4 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Draw a vertical line as shown from point 5

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Draw a horizontal line line as shown from point 5 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Draw a vertical line as shown from point 6

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Draw a horizontal line line as shown from point 6 on the circle

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Locate the point as shown such that the line drawn is equal to radius of circle and locate point as shown

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Join the points with smooth curve as shown

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Complete the curve as shown with mirror image already drawn and is the required cycloid