Construction of a Superior Trochoid
The construction procedure for obtaining a superior trochoid is shown in Figure 6. With centre C’ and radius R, draw a circle.  From A, draw a horizontal line  AB = 2πR. Draw C’- C” parallel and equal to AB and divide it in to 12 equal parts C1, C2, C3 ,…. C12. Draw the generating point P’ along C’-A. With centre C’ and radius  C’-P’ draw a circle and divide the circumference in to 12 equal parts and label them as  1,2,3, ….,12.  With C1, C2, C3,etc., as the centres and radius equal to C’-P’, cut arcs on the horizontal lines through 1,2,3,etc., to locate  the points P1, P2, P3, etc. Join P1, P2, P3, etc.,  to obtain the superior trochoid.

Figure 5 Construction of a superior Trochoid.