Abstract: A process is disclosed for automatically positioning the drill spindle over a workpiece at a predetermined location defining the bore center, wherein the shop drawing and the workpiece bore centers are defined as to their locations in different coordinate systems and wherein the invention provides for calculating and measuring steps to transform between the various coordinate systems. The invention discloses also apparatus for practicing the process by employing a controller-arithmatic unit which carries out the coordination of the plurality of logic circuits and the effecting the use of a programmed performance of the process including the teaching or updating of the program for new bores.