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The article describes the construction and some properties of roof skeletons with varying slope. In particular, the author shows that for an arbitrarily fixed polygon we can obtain different shapes of roofs of varying slope depending on the sequence of real positive numbers (distances).
Photographers usually choose a recipe for their artistic purposes from many experimented ones of the past 150 years. Unfortunately, these recipes describe only the dilution of the solutions, but do not give a guide how much shall be used for the optimal result for a unit size surface. Besides, each of the transfer processes have a cumulative mapping distortion of the image transfer steps. We have...
In the article the theory and practice of Descriptive Geometry applications comprised in the first textbook on Descriptive Geometry printed on the Polish land in 1822 in Warsaw (volume I) and in Cracow (volume II, journal 1) have been presented. The substantial contents of the presented textbook reflects well on the world high – level of the at that time didactics of Descriptive Geometry in Poland...
In this paper, examples of graphic presentations of performed measurement results have been presented. These results concern vertical and horizontal dislocations and deformations of given objects. The monitored objects were two churches, both situated near a very busy street, and a hall of a newly built building. One church was about 80 years old and the other 100 years old. The visualization of the...
At the courses of studies, where the modules of Engineering Graphics are introduced and the scope of Descriptive Geometry is limited, there is a specific need for a thorough analysis of educational needs for a given specialty. It imposes on the lecturer the duty to constantly search such teaching methods that can easily adapt to the changing world, have the training and practical aspect and can interest...
In this article, the author gives an interesting and relatively simple construction of a hyperbola which is determined by its asymptotes and a random point. In the case of equilateral hyperbola this construction can also be implemented when the hyperbola is given with an imaginary axis and the vertex, and in the general case by an imaginary axis, the center of concentric circles and a random real...
This paper aims at formulation of universal method of evaluating the amount of solar energy that is absorbed by building’s roof which is necessary to determine the optimum value of solar energy depending on roof’s geometry and its location in respect to the four quarters of the globe. The paper presents an interesting application of Monge’s method of appointing shade geometry with a help of AutoCAD...
One of the institutions that systematicly gathers and analyses elements of European geometric hertige is Muzeo Galileo in Florence. During the digitalization of their library there were 400 titles analyzed as theme projects. One of them is really important to people who specialize in geometry, especially the “Bibliotheca Perspectivae” project. The article is a short review of this project.
In the current practice of teaching descriptive geometry and engineering graphics, the pressure is put on the skill of constructing drawings. In this way weak students often learn by heart planar solutions instead of trying to understand space relations as it is more efficient as far as passing the subject is concerned. In the authors’ opinion the improvement of the described situation can come as...
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