Ellipse from cone

  • Thread starter femas
  • Start date
  • #1
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
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
7
0
Thank you ... But can you give me an example.
 
  • #4
1,013
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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