noun
- an isolated point on a curve where the curve does not actually pass through the point but where the tangent lines meet
Usage: mathematics; geometry
Examples
- The equation x² + y² + 1 = 0 has an acnode at the origin.
- In algebraic geometry, an acnode represents a type of singular point.
- The curve has an acnode where it appears to touch itself but doesn’t actually intersect.
- Students often confuse an acnode with a node in their geometry studies.
- The mathematician identified the acnode by analyzing the curve’s derivatives.