Sulima V. Formation of the form of curves by observation of a triangle Reuleaux

Forming of complex by form curves by the way of geometric modeling of constant width figures break - in varieties. Development of theoretical basis of the method of description and display of the results of break-in of constant width figures ( on the example of the Rello triangle) which move in accordance with the hypertrochoidal law or rotating displacement law. The investigation methods: the R-functions theory elements, geometrical modeling. The investigation tools: Maple V. programme. The three-place R-operations to describe the geometric objects are developed. The triangle and Rello tetrahedron are described by the implicit equations. The methods of modeling of break-in of the Rello triangle in accordance with the hypertrochoidal law and the rotating displacement law are presented. The parametric family for modeling of the Rello triangle break-in is given. The obtained results make it possible to create and introduce the algorithms of calculation of schemes of drilling of holes into practice. They also allow to profile the Wankel engines bodies and model the clutches under the synchronous rotation. The results are introduced at the Kharkov Science and Manufacturing Company Extruder.