Long description: fig1a

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A diagram illustrating the cross-sections of a cone using a plane of intersection, resulting in a circle and an ellipse.

Alt text: A diagram illustrating the cross-sections of a cone using a plane of intersection, resulting in a circle and an ellipse.

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  • The image displays a cross-section diagram involving a cone, a cone-axis, and a plane of intersection.
  • The cone is shown with generator lines extending from its vertex.
  • The resulting cross-sections are labeled: a circle and an ellipse.
  • A textual description explains that a circle is obtained when the plane of intersection is perpendicular to the cone-axis, and a degenerate case is a single point.
  • The description further explains that an ellipse is obtained when the plane of intersection is not perpendicular to the cone-axis but cuts the cone in a closed curve, with various ellipses being obtained as the plane continues to rotate.

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