In this paper, we introduce the comparative study of the numerical methods for solving non linear equation. Here, in particular Two step iterative method is compared with Approximation techniques by circles which includes External touch technique of circles and Orthogonal intersection technique of circles. Numerical Illustrations are given.

introduction: knowledge of the anatomic location and dimension of the molar pulp chamber may preserve healthy pulp during operative procedure and reduce risk of perforation of chamber during access preparation. a review of literatures regarding the morphology of pulp chamber however revealed very little information; so the aim of this in vivo study was to measure the dimensions of first molar p...

Walton & Meek [13] obtained fair G Pythagorean hodograph (PH) quintic transition Sand C-shaped curves connecting two circles. It was shown that an S-shaped curve has no curvature extremum and a Cshaped curve has a single curvature extremum. We simplified and completed their analysis. A family of fair PH quintic transition curves between two circles has been derived. We presented an algorithm wi...

This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given pro...

Variable-radius circles are common constructs in planar constraint solving and are usually not handled fully by algebraic constraint solvers. We give a complete treatment of variable-radius circles when such a circle must be determined simultaneously with placing two groups of geometric entities. The problem arises for instance in solvers using triangle decomposition to reduce the complexity of...