SPECIAL CURVES: ELLIPSE
HOW TO CONSTRUCT AN ELLIPSE USING THE FOCAL POINT/INTERSECTING ARC METHOD i. Draw the major axis AB (80mm) ii. Bisect AB at P and mark CD equals the minor axis (50mm) iii. With center C and radius AP, mark F1 and F2. iv. From F1 mark 1,2,3 and 4 at any equal spacing towards the center P. v. With centers F1 and F2, radius A1, and B1 draw arcs to intersect at 1 in each of the four-quadrant. Repeat with points 2-4 to get points 2-4. vi. Join all the intersecting points with a curve to give the required ellipse. COUNT AND LEAVE 12 LINES FOR THE CONSTRUCTION. SPECIAL CURVE HOW TO CONSTRUCT A CYCLOID WITH A TANGENT AT A POINT ON THE CYCLOID. i. Draw the circle and divide it into 12 equal parts. ii. Draw horizontal lines from each point 1,2,3...12 iii. From 0 with radius 0-1 step off 12 equal division 1,2,3...12 iv. Erect perpendicular from each point 1,2,3...12 to intersect the center line of the circle at C1, C2, C3...C12 v. With center C1, C2, C3...C12 and radius OC...
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