This nal project discusses an iterative method that uses geometric construction to
solve a nonlinear equation. The method is obtained by consructing the curve of a
third degree monic polynomial function that approximates the curve of the nonlinear
equation. The convergence analysis shows that the iterative method has third-order
of convergence. Some numerical examples are given to demonstrate the performance
of the new iterative method by comparing with some well-known iterative methods.