Conics and multiple derivation

Abstract: Let be a conic in and suppose we derive with respect to a derivation set or multiple derivation set. This paper looks at whether the conic gives rise to an inherited arc in the derived plane. Further, we construct two families of conics which give rise to inherited arcs after certain double derivations. Finally we construct a family of complete -arcs in certain André planes. [Copyright &y& Elsevier]