Keyword: «paraboloid»

The relevance of this work relates to the special place of the lines and surfaces of the second order in the courses of analytical geometry and engineering graphics at the technical University. Parabola and corresponding to it in three-dimensional world paraboloid, play an important role in many physical processes. As a result, they have found wide application in many engineering, technical and other devices, architecture, and just in everyday life. In this article, the authors examine the mathematical properties of parabola and paraboloid and the peculiarities of their graphical representation. The content of the article will be interesting for students of engineering and mathematics, teachers of mathematics and engineering graphics, as well as for high school students preparing to enter universities to study technical or mathematical sciences, since prospects of modern school education development are associated with the growing role of its polytechnic component.