Sitabdiyeva O. Geometrical simulation kvaziellipsoids with the not dot focuses, resting on the given spatial lines

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000386

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

01-02-2006

Specialized Academic Board

Д 26.056.06

Kyiv National University of Construction and Architecture

Essay

The thesis is devoted to the new decision of a problem of geometrical simulation of reflective surfaces with the properties similar to focal properties of an ellipsoid of revolution, both grounded on drawing up and the decision of the differential equation of a special aspect that has allowed to define the profile of a reflective surface in its axial section. To principal results it is necessary to refer methods of drawing up of the ordinary differential equation which decision may be a curve on a plane, generalizing focal properties of an ellipse, and the algorithm of a determination of such decision is made. The method of drawing up of a differential partial equation which decision may be a reflective surface of kvaziellipsoid with the dot focuses, transiting through the given curve also is developed. The algorithm of the decision of this differential equation which decision may be a reflective surface of kvaziellipsoid is made. Besides the algorithm of the decision of a differential partial equationis made by its data to system of the ordinary differential equations.

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