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Drawing ellipse by eccentricity method
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Drawing ellipse by eccentricity method
1.
Draw a horizontal line as
shown Construct an ellipse when the distance of the focus from its Directrix is equal to 50mm and eccentricity is 2/3.Also draw z tangent and a normal to the ellipse
2.
Draw a vertical line
line as shown(Directrix)
3.
Mark the point as
o as shown o
4.
50 Mark a point 50mm
from vertical line on horizontal line as shown o
5.
50 Name the point as F(Focus)
as shown F o
6.
F 2030 Mark a point
on horizontal line 20 mm from F as shown o
7.
F 2030 Name the point
as v as shown V o
8.
FV Draw a line
at V equal to VF as shown o
9.
FV 1 o Mark the point
as 1 as shown
10.
FV 1 o JOIN O1 and extend
as shown
11.
450FV 1 o Draw a line
450 to horizontal line from F and mark point P when it cuts the extended line of O1 P
12.
FV 1 o P Draw a vertical
line from F and mark the point 2 as shown 2
13.
FV 1 o P 2 Draw a vertical line
from Point P to the horizontal line as shown and mark the point as e e
14.
FV 1 o P 2 e Draw a bisector
line for V e as shown and mark the point as M and N as shown M N = =
15.
FV 1 o P 2 eM N 3 Mark point 3 such
that MN=F3
16.
FV 1 P 2 eM N 3 Join V23 by
smooth curve as shown o
17.
FV 1 P 2 eM N 3 Draw mirror image of
the curve as shown o
18.
FV 1 P 2 eM N 3 Draw mirror image of
the curve as shown o
19.
DAW LINES AS SHOWN
as shown FV 1 P 2 eM N 3 o
20.
FV 1 P 2 eM N 3 Mark the Points as
shown o
21.
FV 1 P 2 eM N 3 o Locate a point
s as per given dimension to draw tangent and normal as shown s
22.
FV 1 P 2 eM N 3 o s Join F S
as shown
23.
FV 1 P 2 eM N 3 o s Draw a line
QF perpendicular to FS as shown Q
24.
FV 1 P 2 eM N 3 o s Draw a line
QQ’ Joining QS as shown Q Q’
25.
FV 1 P 2 eM N 3 o s Draw a line
NN’ Through S perpendicular to QQ’ as shown Q Q’ N’ N
26.
FV 1 P 2 eM N 3 o s Q Q’ N’ N Ellipse Normal Tangent
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