Minimal Surface In Euclidean 3-space

The surface theory is an important part of differential geometry,the minimal surface is an important part of the surface theory.The famous Plateau problem "For a given curve boundary s.urface test area to a minimum" Represents the minimal surface theory has a long history,minimal surface often provides differential geometry new problem and push it forward.Minimal surface has been the favorite research topic for the geometrician,as early as 19th century,J.plateau had been observed and studied the minimal surface.after chat the minimal surface of the general expressions are given by Weierstrass and Enneper.If the minimal surface expression of the general solution of algebraic functions φ(ω)has been defined as φ(ω)=1/6ω3,then we can get the famous Enneper surface.In this paper we base on Weierstrass formula in minimal surface,in the three dimensional Euclidean space Weierstrass formula of algebraic function φ(ω)is defined as φ(ω)=1/6(ω3+3ω),we should study the algebra minimal surface properties. we calculate the surface of the First Basic amount and the Second Basic amount of algebraic expressions,we research the coordinates of the curve,geodesic curve, asymptotic curve and the curvature of equation.