For the three-position function generation case the solution procedure then can be the same as that described by equations 5.20 through 5.27 for the motion synthesis prob- lem. In other words, the solution equations are the same for all three types of kinematic synthesis, function generation, motion generation, and path generation with prescribed timing. This is why Erdman and Sandor called equation 5.35 the standard form equa- tion. To develop the data for the function generation solution, expand equation 5.37b: