drawing ellipse by eccentricity method
Post on 15-Feb-2017
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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
Fo
F
2030
Mark a point on horizontal line 20 mm from F as shown
o
F
2030
Name the point as v as shown
Vo
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
PDraw 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
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
sDraw a line NN’ Through S perpendicular to QQ’ as shown
Q
Q’
N’
N
FV
1
P
2
eM
N
3
o
sQ
Q’
N’
N
Ellipse
NormalTangent
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