Properties Features of Parabola at Its Simulation

When studying the theory of contour construction in “Affine and Projective Geometry” course on educational program specializations “Computer-Aided Design Systems” and “Applied Informatics in Design” a unit of computational and graphic task "Contour Construction" is carrying out in structural design. In this computational and graphic task the contour constructions are carrying out by second-order curves (a circle — by the radius and graphical method; a hyperbola, an ellipse, a parabola — by means of Pascal curves, taking into account positions of engineering discriminant). The constructions of an arc of ellipse, hyperbola, and parabola are carried out based on Pascal theorem: in any hexagon, which vertices belong to a second-order series, three points of the opposite sides’ intersection lie on one straight line — the Pascal line. However, in construction of a conic (a second-order curve), it is necessary to draw students’ attention to the fact that the points belonging to a second-order series (a second-order curve, or a conic) make a geometrical locus of intersection of Pascal hexagon’s adjacent opposite sides. By this method students successfully construct conjugate arcs of an ellipse and a hyperbola with other conics. The construction of a parabola arc, conjugated with other conics, is carried out by the method of engineering discriminant (it is more convenient to divide line segments in halves: a median and a triangle side, which is opposite to its vertex lying on a parabola arc). It should be noted that theoretical and practical material on this subject corresponds to the assimilation of Study Plan’s necessary competences (in accordance with each educational program), however, some aspects of this subject are accepted by students simply by trust. The aim of this paper is research of construction methods for parabola, applied to contour simulation.

Formation and Development of Professional Skills of Students When Studying Descriptive Geometry

At prompt development of informatization of production the role of engineering education significantly increases. Graphic disciplines on technical specialties of higher education institution are the first professionally focused disciplines which are actively influencing formation of competences of future experts. Many problems of improvement of quality of development of difficult courses of university programs can be solved by use of effective forms of education. Realization of competence-based approach in the higher education demands wide use of active and interactive forms of carrying out occupations in combination with independent work of students for formation and development of the professional skills which are trained. Independent work has to bear not only reproductive functions on fixing of the passable material, but also to induce students to active self-education, creative preparation for effective professional activity. Use of computer graphic tasks with entertaining elements when training students in graphic disciplines promotes increase of level of informative activity of students, development of creative abilities and profound studying of a subject. The new original graphic task on descriptive geometry with use of computer technologies for students of auto makers is offered. The graphic task consists in creation of electronic model of the car as solid-object one of two developed ways of modeling. In the course of performance of a task students solve the main geometrical objectives by definition of a form and constructive and geometrical parameters of the spatial objects entering a car design and in parallel master 3D modeling in AutoCAD or Solid Works packages. It is proved that inclusion in educational process of the graphic task developed taking into account a professional orientation trained, increases its efficiency. The task performed during the first semester promotes fixing and profound studying of fundamentals of descriptive geometry and development of computer graphics. It can be used when studying 3D computer geometrical modeling for students of the technical directions.