  In this paper we consider Hugelschaffer cubic curves which are generated
using appropriate geometric constructions. The main result of this work is the
mode of explicitly calculating the area of the egg-shaped part of the cubic
curve using elliptic integrals. In this paper, we also analyze the
Hugelschaffer surface of cubic curves for which we provide new forms of
formulae for the volume and surface area of the egg-shaped part. Curves and
surfaces of ovoid shape have wide applicability in aero-engineering and
construction, and are also of biologic importance. With respect to this, in the
final section, we consider some examples of the real applicability of this
Hugelschaffer model.
