this project deals with the effects of the variation of horizontal reach on three measures of kinematic performance, namely the manipulability, condition number and minimum singular value, which depends upon a manipulator's Jacobian matrix. condition number is the best tool for the control of velocity of end effector. condition number for the Jacobian matrix of robotic manipulator gives the measure of the accuracy of the end-effector's velocity.

In general case the singularity locus of a parallel manipulator of stewart gough type is a cubic surface on the surface on the space of translation. In the present study many objective to find all the stewart gough platform which possess only a linear or quadratic singularity surface. This manipulator has the advantage, that their singularity surface can be easily visualized because it is a plane or a quadric for any orientation of the platform, I am also aiming to give a geometric interpretation of this manipulator.