General Method (Eccentricity method).
Concentric circles method.
Oblong (Parallelogram) method.
Rectangle method.
Intersecting Arcs method.
Construction :
Draw the principal axis line “AB”.(with Some unknown length)
Draw a vertical line ...See more
CD” to represent directrix.
Mark focus F on the axis “AB” such that AF = 50mm
Divide AF into five equal divisions.
Mark the vertex “V1” on the third division point from A.
Draw a vertical line on “V1” (with some length). Cut the vertical line with “V1 to F” as radius length with V1 as Centre for point-E.
Draw a line by passing through the point A and E (with some length).
Draw a line from the focus F, inclined at 45° to the axis AB to intersect the line AE produced at point V2. Draw perpendicular line from point V2 to meet the axis line AB at point V2. (The line V1 to V2 represents the major axis of the ellipse.
Make some divisions in between V1 to V2 (major axis). Ex- 8 divisions
Draw perpendicular line on 8 divisions. (keep notations as 1-1’ 2-2’….8-8’ etc)
With Centre F and radius equal to 1-1’ , draw arcs to intersect the perpendicular line 1-1’ at points P1 and P1’.
Similarly mark some more points say 2,3,4 etc , this will give some loci points of the ellipse like P2-P2’ . P3-P3’ …etc
Join all the loci points of the ellipse and obtain the required ellipse.
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