Introduction; Objects and transformations in space; Curves; Curve segments; Multisegment curves; Surfaces; Surface patches; Surface of revolution of a tool; Tool positions tangential to a surface; Contouring on 2CL milling machines; Sculptured surfaces machining on 3C milling machines; Sculptured surfaces machining on 5C milling machines; Circumferential milling on 5C milling machines.