May 1, 2020


Get this from a library! Deskriptivní geometrie pro samouky. [Josef Kounovský] — Příručka, jež vznikla z přednášek, konaných před válkou pro kandidáty učitelství. Deskriptivní geometrie (konstruktivní fotogrammetrie): [Určeno] pro posluchače fak. arch. a pozemního stav.. [Miroslav Menšík; České vysoké učení technické v. Found it Kolomajzlik found Deskriptivni geometrie. Monday, July 25, Jihomoravský kraj, Czechia.

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The result is the implicit equation of the locus. A projection plane and two projection directions, not parallel to the plane, are at first assumed. Hermite interpolation by hypocycloids and epicycloids with rational offsets.

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. That means each point has a ball-like neighbourhood. This construction is based on a mechanical interpretation of the Apollonius definition an E. In the contribution, we will focus on some interesting constructions used by architects, theorists such as Sebastiano Serlio and Guarino Guarini.

Book 1, Science and technologies in geology. But there are many others, too. Consequently the polynomial surfaces of a given degree with polynomial area eeskriptivn can be constructed from the prescribed normal fields solving a system of linear equations. Addition of possibility to save the directions of projection broadens way of using the imaging.

Therefore, deskriptiivn question arises, what are the conditions which a figure should fulfil to visualise what an author aims at. First, we model the famous hyperbolic football manifold, and restrict ourselves only for Cw 6, 6, 6 manifold as in [2]. A scaling method for priorities in hierarchical structures.

preliminary programme

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. The given method is based on imaging of Euclidean space on a plane. 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. Equilateral quadratic cones are characterized by a vanishing trace.


We design a simple algorithm for computing an approximate piecewise rational parametrization using topological graphs of the Weierstrass curves. The gauss map at the inflection point is not geometriw and in the neighborhood goemetrie typically not injective. Springer Spektrum, in preparation. Map projections are coming out of geometric expression of 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 use geoemtrie presented approach to interpolate a network of points and associated normals with piecewise polynomial surfaces with polynomial area element. This term denotes a curve composed of circular arcs, but seskriptivn times also the ellipse itself.

The corresponding conics are the spherical analogues of Thales circles. Sign in to annotate. 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 of its normal deskriiptivn is a perfect square.

Springer Spektrum, Heidelberg G.

The standard examples for such theorems are the Theorem of Pythagoras and the Theorem of Desargues concerning perspective triangles. Marrying these two concepts together with the concept of a symmetric bilinear form, we can make significant progress with regards to the understanding of gemoetrie in higher dimensions over a general metrical framework.

User Account Sign in to save searches and organize your favorite content. 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.


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We describe this function using an implicit algebraic equation and geometrke rational Puiseux series of its branches. The degree of the constructed surface depending on the degree and the properties of the prescribed normal field is investigated. If cones of this type are tangent to a regular quadric then their apices are located on a sphere. Hence, we deal with rational, elliptic or hyperelliptic curves that are birational to plane curves in the Weierstrass form and thus they are square-root parameterizable.

Analytical hierarchy process AHP. The first tensegrity structure was constructed in by Kenneth Snelson, the young student of art.

Choice of cartographic projection is determined by the geometrical characteristics of the territory and choice criteria for distortion of map elements. When geometrically analyzing an already built building, it is very difficult to distinguish whether an oval was constructed using circles or ellipses.

Analytic Hierarchy Process, Encyclopedia of Biostatistics. A new viewpoint can give us new ideas and concepts that lead to a simplified solution of the mathematical problem.

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Together with geometric criteria, useful solutions, i. Their mixtures with the analytic use of homogenous coordinates is applied on projective theorems. Theoretical Computer Science— De Gruyter – Sciendo.

Except for the most simple loci such as lines, circles or possibly conics, this topic is not contained in most geometry texts.