In this work we present reparametrization of nondegenerate null scroll as a B-scroll, i. We prove that the curvature of a base curve, which determines the Gaussian and mean curvature of a null scroll, is invariant under such a reparametrization. We also determine a one-parameter family of null curves on null scroll which serve as base curves for this kind of reparametrization. We are especially interested in ruled surfaces which do not have a Euclidean counterpart, that is, surfaces with null rulings, and in particular, so-called B- scrolls.
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Faculty of Technical Sciences. Exchange programmes. Course Catalogue for student exchange programmes. Cooperation with industry Research activities Educational activity. Recommended Links. Context Links. Undergraduate Academic Studies. Basic Information. Native organizations units. Development of spatial imagination and visualization, acquiring engineering knowledge on the most rational graphic representation of combined forms.
Teaching students to be able to independently develop technical drawing manually or using a computer. Understanding geometrical structure of 3D shapes and their optimal 2D representation. Use of computer in design and development of technical documentation on the basis of the designed model.
Representation of space, projecting orthogonal, cavalier and axonometric. Fundamental elements of geometry. Transformation, rotation. Regular polyhedrons. Perspective co linearity and affinity, transitional developmental surfaces. Constructive processing of basic geometric surfaces and bodies used in mechanical engineering.
Characteristic views. Piping problems. Fundamental notions on the engineering design process. Introduction to engineering graphic communications. Basic equipment and supplementary elements. Standards and standard numbers. Technical drawing standards. Basic elements of engineering geometry. Coordinate systems. Descartes, polar, cylindrical, spherical, absolute and relative coordinates. Fundamentals in engineering graphics. Drawing objects from multiple views.
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Marking the quality of surface. Assembly drawing. Workshop drawing. Schematic drawing. Fundamentals in computer aided product design. Giesecke, A. Site map. Previous Next.
Konstruktivna geometrija u nastavi matematike
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Ljiljana Primorac Gajčić
Nacrtna geometrija zadaci