Drawing ellipse by eccentricity method

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

Draw a vertical
line line as
shown(Directrix)

Mark the
point as o
as shown
o

50
Mark a point
50mm from
vertical line on
horizontal line
as shown
o

50
Name the
point as
F(Focus) as
shown
F
o

F
2030
Mark a point on
horizontal line 20 mm
from F as shown
o

F
2030
Name the point as v
as shown
V
o

FV
Draw a line at V equal to
VF as shown
o

FV
1
o
Mark the point as 1 as
shown

FV
1
o
JOIN O1 and
extend as shown

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

FV
1
o
P
Draw a vertical line
from F and mark the
point 2 as shown
2

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

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
= =

FV
1
o
P
2
eM
N
3
Mark point 3
such that MN=F3

FV
1
P
2
eM
N
3
Join V23 by smooth
curve as shown
o

FV
1
P
2
eM
N
3
Draw mirror
image of the
curve as
shown
o

DAW LINES AS
SHOWN as
shown
FV
1
P
2
eM
N
3
o

FV
1
P
2
eM
N
3
Mark the Points
as shown
o

FV
1
P
2
eM
N
3
o
Locate a point s as
per given
dimension to draw
tangent and
normal as shown
s

FV
1
P
2
eM
N
3
o
s
Join F S as shown

FV
1
P
2
eM
N
3
o
s
Draw a line QF
perpendicular to
FS as shown
Q

FV
1
P
2
eM
N
3
o
s
Draw a line QQ’
Joining QS as
shown
Q
Q’

FV
1
P
2
eM
N
3
o
s
Draw a line NN’
Through S
perpendicular to QQ’
as shown
Q
Q’
N’
N

FV
1
P
2
eM
N
3
o
s
Q
Q’
N’
N
Ellipse
Normal
Tangent

Drawing ellipse by eccentricity method

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Drawing ellipse by eccentricity method