Singular Point of A Curve - Types of Singular Points

Types of Singular Points

Some of the possible singularities are:

  • An isolated point: x2+y2 = 0, an acnode
  • Two lines crossing: x2−y2 = 0, a crunode
  • A cusp: x3−y2 = 0, also called a spinode
  • A rhamphoid cusp: x5−y2 = 0.

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