scholarly journals Competency approach to the study of the second-order surface interface as the geometric location of points in space

Author(s):  
Sergey V. Zharov ◽  
Natalia L. Margolina ◽  
Lyudmila B. Medvedeva

The necessity of the formation of students' functional literacy as a competency approach to the training of future Mathematics teachers is substantiated on the example of studying of one of the topics of analytical geometry. It has been established that a prerequisite for the development of any competency prescribed in the standards of secondary education is the initial existence of a sufficiently new concept of functional literacy for a student of a certain level. The basic literacy comes down to the ability to read, write and express of one's thoughts correctly. Let us consider the issue of functional literacy from the point of view of the pedagogic specialty. Acquaintance with the well-known textbooks of analytic geometry allows us to say that 2nd order algebraic surfaces in Euclidean space are determined in most cases algebraically by means of equations. A constructive approach is also of use – surfaces are obtained by rotating 2nd degree curves around their symmetry axes and by deformation of the resulting surfaces by compression. The metric approach, as it used for 2nd order curves, is restricted only by the formulation of problems to find the certain locus of points in space. The exception is the article Dmitriy Perepyolkin which was published in 1936. In this paper the locus of points in space with the following characteristic property is studied – the ratio of the distance to a given point to the distance to a given straight line is constant. The strait line is assumed not to contain the point. The study is held out in pure geometrical manner – it is done using the method of sections and known loci of points on the surface. In the present article we study the locus of points in space defined by metric relation to a certain set of pairs of points, lines and planes. It is shown that any non-degenerate 2nd order surface can be considered as a certain locus of points of space and this interpretation is not unique.

2021 ◽  
Vol 4 (3) ◽  
pp. 961
Author(s):  
Norman Hadi ◽  
Sriyani Sriyani

The reform of state financial management in 2003 was aimed at realizing transparent and accountable government financial reporting. Reform of state financial management is the first step in improving the quality of state finances. In the government environment, fixed assets play an important role in government operations and also benefit the community. The problem studied is how the suitability of accounting for fixed assets at the Lubuklinggau Police with PSAP number 07 concerning Accounting for Fixed Assets from the point of view of recognition, measurement, presentation, and disclosure of Fixed Assets in Financial Statements. The research method used is a qualitative method, the method of data collection is carried out by means of observation and interviews with parties related to accounting at the Lubuklinggau Police Station. The results of this study are the Lubuklinggau Police Station has implemented Fixed Asset Accounting in accordance with PSAP 07, namely Assets are recognized when future economic benefits have been obtained and their value can be measured reliably, Fixed Assets are measured at cost, depreciation is carried out using a straight line and presented in Balance sheet according to PSAP 07.


1976 ◽  
Vol 7 (1) ◽  
pp. 8-24
Author(s):  
J. Larry Martin

During the 1950s and '60s, sweeping changes were made in the mathematics curriculum that were largely due to fundamental changes that had occurred in mathematics. Among these changes was a trend toward emphasizing the structural nature of mathematics. However, changes in the content of geometry represented more of a tentative groping than did changes in content dealing with the real numbers. Many approaches to geometry were proposed, such as those of transformation geometry, synthetic geometry, analytic geometry. and vector geometry. Although agreement was not reached as to approach nor indeed even as to the purpose of geometry in the curriculum, mathematics educators did agree that more geometry should be included and included much earlier than was done traditionally.


1933 ◽  
Vol 29 (4) ◽  
pp. 484-486
Author(s):  
J. W. Archbold

1. In this note we investigate, from a new point of view, some properties of cubic primals in [4]. These are enunciated by Fano as follows.


1939 ◽  
Vol 23 (256) ◽  
pp. 387
Author(s):  
F. H. V. Gulasekharam

2020 ◽  
Vol 11 (2) ◽  
pp. 263
Author(s):  
Florian Ion Tiberiu Petrescu ◽  
Relly Victoria Virgil Petrescu

Mechanical systems in motion type parallel structures are solid, fast and accurate. Between mobile systems parallel the best known and used system is that of a Stewart platform, as being and the oldest system, quickly, solid and accurate. The paper presents a few main elements of the Stewart platforms. In the case where a motto element consists of a structure composed of two elements in a relative movement from the point of view of the train of propulsion and especially in the dynamic calculations, it is more convenient to represent the motto element as a single moving item. The paper presents an exact, original analytical geometry method for determining the kinematic and dynamic parameters of a parallel mobile structure. Compared with other methods already known, the presented method has the great advantage of being an exact analytical method of calculation and not one iterative-approximately.


Author(s):  
Hans Dehlinger

A straight line, pen-drawn and executed on a pen-plotter, is by default sharp and crisp. This is the nature of a straight line between two points. Likewise, drawings generated from such lines are by definition sharp. This paper considers generative line drawings, executed on a pen-plotter which appears to be wholly or in part unsharp when viewed. Described here are some strategies based on systematic experiments with geometric transformations to produce such drawings. The topic is approached from an artist’s point of view with a focus on the generative and algorithmic issues involved, and the results are demonstrated by examples.


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