Babka V. Designing of lines and surfaces segment transition on the set differential conditions of driving

Dissertation is devoted to researching of transition of a segment on planes and in space by means of three - edge of Frenet of a directing curve. The segment beginning A is at an apex of a trihedral which moves on flat or a space curve - a prescribed trajectory of its driving. The relative motion of the extremity B of a segment is presented by the equations in three - edge system in the right-angled or polar axes. The absolute trajectory of a point B is defined as a geometrical sum of two movements - transportation of a three - edge and of relative motion point in it. On the set differential conditions of driving (the variable or constant length of a segment, equal velocities of the extremities of a segment, point B driving on one of three -edge thirls) is association of relative motion of a point B in three - edge system, and then absolute in motionless axes. On the basis of refinement of mechanical trajectories of parts of a technological material on a working surface of the centripetal hulling unit the form substantiation of its deques is realised.