To the question on continuous parameterization of spatial figures having an ellipse in a section

In solving problems of mechanics of shells by numerical methods, inevitably arises a problem of continuous parameterization of calculated shell construction, requiring a calculation of necessary geometrical descriptions in an arbitrary point of examined shell. At that, position of a point must be completely defined, and the used geometrical parameters must have clear geometrical interpretation. We propose new variants of formulas, allowing to execute continuous parameterization of spatial figures having an ellipse in a section, and possessing clear geometric interpretation.