1. An apparatus for measuring geometry elements, comprising: a measuring machine for measuring one or more sample points on a work required to calculate a geometry element which defines the work to be measured and outputting measured data; a sampling and sample processing section for receiving said measured data of said sample points measured by said measuring machine and counting the number of said sample points received; and an element discriminating section for discriminating said geometry element which defines the work to be measured on the basis of the number of said sample points received by said sampling and sample processing section and a distribution of all sample points.