Author’s address: Josef Dalik, katedra matematiky a deskriptivni geometrie atiky a deskriptivni geometrie strojni fakulty VUT, Technicka 2, 69 Brno, Czech. Rozvrh předmětu Deskriptivní geometrie (design) v zimním semestru a. r. / 15 [en], Design – Descriptive geometry, Courses, Department of. Found it Kolomajzlik found Deskriptivni geometrie. Monday, July 25, Jihomoravský kraj, Czechia.

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The use of dynamic geometry software Cabri, GeoGebra, Sketchpad, But this new idea was described, almost at the same time, by three patents prepared by three diferent authors – the scientist, the artist and the architect. Whereas in the past the study of loci by DGS was based on numerical deskriptivji, now we are facing the introduction of symbolic methods based on the theory of automated theorem proving into DGS.

Numerical solution of the Kiessl model

Moderni matematicke metody v inzenyrstvi. Computer Aided Geometric Design 27, — Issue 1 First Online: Thank to the addition, basing on the image, it will be possible to figure out geometrical features of the photographed object.

Very often, in technical practice, we meet the concept of oval. Fundamentals of the analytic hierarchy process. Consequently the polynomial surfaces of a given degree with polynomial area element can be constructed from the prescribed normal fields solving a system of linear equations. Nevertheless, we aim at low degree interpolants, and therefore, we choose the lowest possible n in any case. Problem included in the above trainings were interpreted as a criterion function within a multi-criteria analysis based on the Analytic Hierarchy Process AHP method.

We design a simple algorithm for computing an approximate piecewise rational parametrization using topological graphs of the Weierstrass curves. The degrees of the equations admit a prediction of the number of possible solutions. First, we model the famous hyperbolic football manifold, and restrict ourselves only for Cw 6, 6, 6 manifold as in [2].

Starting with a re-formulation of metrical quantities in n-dimensional affine space using linear algebraic tools, we can then talk about visualising geometric objects in n-dimensional space.

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A projection plane and two projection directions, not parallel to the plane, are at first assumed. Determination of the zone endangered by methane explosion in goaf gekmetrie caving of operating longwalls. Hermite interpolation by hypocycloids and epicycloids with rational offsets. Sign in to annotate. The quality of approximate constructions may be the reason.

A scaling method for priorities in hierarchical structures. The normal or orthogonal quadratic cones have circular sections being orthogonal to vertex generators.

Deskriptivní geometrie II pro 2. ročník SPŠ stavebních. Autor: Musálková

We show that for a rational surface the Gram determinant of its tangent space is a perfect square if and only if the Gram determinant geometrir its normal space is a perfect square. The support function is thus not geojetrie and typically multivalued. Map projections are coming out of geometric expression heometrie properties of reference surfaces of Earth using methods of differential geometry, as well as of relation between two linear manifolds – reference ellipsoid and map plane.

We propose an alternative adaptive subdivision scheme, which ensures the approximation degree 4 both for the inflection—free segments and the segments with inflections. Except for the most simple loci such as lines, circles or possibly conics, this topic is not contained in most geometry texts.

That means each point has a ball-like neighbourhood. The level of occupational health and safety is one of the determinants of the company’s efficiency. Issue 3 First Online: Therefore, the question arises, what are the conditions which a figure should fulfil to visualise what an author aims at.

The satellite picture of the same object taken from two different directions may be treated as two-image parallel projection. Application of the AHP method allowed to perform a diagnostic comparative assessment of objects business entitiesboth objects and accepted assessment criteria were compared in pairs with each other the evaluator’s preferences subjectivity of assessments are treated in the Analytic Hierarchy Process as a natural phenomenon.

Addition of possibility to save the directions of projection broadens way of using the imaging. Choice of cartographic projection is determined by the geometrical characteristics of the territory and choice criteria for distortion of map elements.

References [1] Gruber, P.


Authors want to present the basic concepts of tensigrity structures which are described in the original patents and on the base of this present the realization of tensigrity structures which were realized in architecture.

These cones can be generated by congruent pencils of planes with intersecting axes. If cones of this type are tangent to a regular quadric then their apices are located on a sphere. Journal of Mathematical Psychology, 15, pp. The associated equilateral spherical conics have the property that the three vertices of a regular right-angled spherical triangle can simultaneously move along.

The aim of this paper is to show the role of geometry and mathematics in the cartography and different options for access to the distortions of the territory, such as optimization of extreme value of distortion, summing and integral criterion on area territory, in some case using criterion with the requirement of a minimum mean value of scale distortion in a given area.

Analytical hierarchy process AHP. Their mixtures with the analytic use of homogenous coordinates is applied on projective theorems. Metody statystyczne w badaniach marketingowychPWN, Warszawa, Sign in to annotate.

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Proceedings of the 14 th International Scientific Conference. The first tensegrity structure was constructed in by Kenneth Snelson, the young student of art. Konstytucja Rzeczpospolitej Polskiej z dnia 2 kwietnia r.

All the time the idea of tensigrity structure is focusing attention of scientists connected with architecture. In the contribution, we will focus on some interesting constructions used by architects, theorists such as Sebastiano Serlio and Guarino Guarini. As an answer it has to be stated that a proper visualisation egometrie only one part, the other, more important, is the addressee. Multidisciplinary Aspects of Production Engineering.

Tschirnhaus used this idea for constructing tangents of curves defined geomertie a finite set of focal points and constant weighted sum of distances from these focal points.