Definition:Double Cusp/Point of Osculoinflection

Definition

A point of osculoinflection is a double cusp in which one or both parts of the curve has a point of inflection at the point of contact with the tangents defining that double cusp.

Also see

• Definition:Double Cusp of the First Kind
• Definition:Double Cusp of the Second Kind

• Results about double cusps can be found here.

Linguistic Note

A point of osculoinflection is so named because it is simultaneously an osculation and a point of inflection.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cusp (spinode)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cusp (spinode)