Ellipse from cone

  • Thread starter femas
  • Start date
  • #1
femas
7
0
Hi,

If the cone is cut with a plane such that an ellipse has been formed. Let's say the major axis is 'a' and the minor axis is 'b'.

Is there a way to find a and b from the geometry instead of getting them from the quadratic equation.
 

Answers and Replies

  • #2
Eynstone
336
0
The inclination of the plane would give the ratio a:b & its distance from the vertex of the cone would give a. I would prefer to do this trigonometrically.
 
  • #3
femas
7
0
Thank you ... But can you give me an example.
 
  • #4
slider142
1,015
70
The distance of the plane from the vertex of the cone as measured along the axis of the cone and the slope of the cone determines the semi-minor axis of the ellipse, while the inclination of the plane together with that distance determines the semi-major axis.
 

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