The standard specifies terms on tool design, attachment and orientation, chipbreakers, as well as on terms regarding the wedge and the cutting edges, not comprised in DIN 6580 and DIN 6581.
DIN 6582:1988 history
1988DIN 6582:1988-02 Terminology of cutting; additional terms for the tool, wedge and the cutting edge
1988DIN 6582:1988 Terminology of cutting; additional terms for the tool, wedge and the cutting edge