# Theory

## Derivation of the ripple ring formulae

The development of the equations starts with the definition of the shape factor and its use in determing cone diameters etc. The practical limits for the shape factors are then determined and approximated to fixed limits. Before developing the equations that determine the cone, work pieces and work holder sizes, a list of variables are given. Once the equations for the general case have been developed the necessary changes for each ring variation are shown. Finally the equations for the symmetric case are developed separately as this case does not easily conform to the general case.