Engineering Graphics: Unit I (c): Conic Sections
Construction of Elllipse by Arcs of Circles Method
Engineering Graphics (EG)
Data known : 1. Major axis 2. Distance between Foci
CONSTRUCTION OF ELLLIPSE BY ARCS OF CIRCLES METHOD 1. Major axis 2. Distance between Foci Example 2: Construct an ellipse with major axis 90 mm and the distance between the Foci is 70mm. 1. Draw major axis AB of length 90mm and locate the centre 'O'. 2. Locate Foci F1, F2 on major axis AB, such that OF1 = OF2 = 70/2 = 35mm. 3. Along the major axis AB and in between the Foci points F1 and F2, mark the points 1, 2, 3 .... at approximately equal intervals (need not be equal). 4. With F1 as centre and A-1 as radius draw two arcs on both sides of AB. Again with F2 as centre and B-1 as radius draw two arcs to cut the previous two arcs at P1 and P1'. 5. similarly with F1 as centre A-2 as radius draw two arcs on both sides of AB. Again with F2 as centre and B-2 as radius draw two arcs to cut the previous two arcs at P2 and P2'. 6. Repeating the above steps with F1 and F2 as centres and radii A-3 and B-3 draw the arcs intersecting at P3 and P3'. 7. In the same way locate the other points P4, P4', P5, P5' etc., 8. Draw a perpendicular passing through centre O. 9. With F1 as centre and O-A as radius draw arcs to cut the perpendicular passing through at C and D. Now, CD represents the minor axis of ellipse. 10. Join all the points A, P1, P2, P3 etc. by a smooth curve and complete the curve, which is the required ellipse.Data known :
Procedure:
Engineering Graphics: Unit I (c): Conic Sections : Tag: : Engineering Graphics (EG) - Construction of Elllipse by Arcs of Circles Method
Engineering Graphics: Unit I (c): Conic Sections
Under Subject
Engineering Graphics
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