degenerate

Examples of degenerate in the following topics:

• Types of Conic Sections

  • Each shape also has a degenerate form.
  • The degenerate form of the circle occurs when the plane only intersects the very tip of the cone.
  • The degenerate form of an ellipse is a point, or circle of zero radius, just as it was for the circle.
  • The other degenerate case for a hyperbola is to become its two straight-line asymptotes.
  • It also shows one of the degenerate hyperbola cases, the straight black line, corresponding to infinite eccentricity.

• Nonlinear Systems of Equations and Problem-Solving

  • In modern geometry, certain degenerate cases, such as the union of two lines, are included as conics as well.