Abstract
Let Ω be the family of the curves with the parameter equation γ(θ) = aeiθ+ beinθ where a, b are nonzero complex values and n is an integer, There are two parts in this thesis. The first part is to address the question: Is there a simple method without involving γ'(θ) and γ''(θ), to construst the center of curvature of the curves in Ω? The next part deals with the construction the center of curvature of the image of a given curve under the rational mapping.