The behavior of special classes of isometric foldings of the Riemannian sphere $S^2$ under the action of angular conformal deformations is considered. It is shown that within these classes any isometric folding is continuously deformable into the {\it standard} spherical isometric folding $f_s$ defined by $f_s(x,y,z)=(x,y,|z|)$.
The article focuses on social context and consequences of Descartes´s method. The method demands rejection of human society as an intrusion into the development of human rationality. Though a declared acceptance of human society in its historically established facility makes part of this rejection, it is necessary to defend oneself against it at first. The philosopher of method defends himself against society not only by means of isolation, but by external integration as well. When thus secured, he convinces the authorities not only about social harmlessness of his method, but also about its usefulness. He presents his method as ready to contribute a great deal to stability or to solid foundation of hitherto society. But even this cautious claim is guided by a pursuit of protection - now of the protection by authorities - for the benefit of the most important thing in the human world, the method itself, and the freedom of reason., Richard Zika., and Obsahuje seznam literatury
In the present day, people increasingly talk about the afforestation of cities and towns as a means of improving the environment. The problem of the gradual incorporation of verdure to the settlement and of its role in the past is being analysed in the present article on the example of the changes in time of the verdure in the areas used jointly by the inhabitants of the village of Podhradie. In the named locality these were, namely, areas that were often reserved and enclosed, with a particular land-scaping arrangement (school garden and cemetery) and, on the other hand, the public space (including the so called „dance circle“ i.e. the public area used for dance festivals etc.). The composition of the botanical species differed in the particular cases, because of its use (for example in the school garden that serves for practical education dominate the fruit trees and vegetables), economic causes (while designing the public park it was possible to utilize the advantageous offer from the local services) or the time horizont of the planting (for example, the older part of the wood species on the „dance circle“ is composed of plum trees, the newer part mainly of lindens, poplars and birches). The last example demonstrates the changes in the structure of verdure in concordance with shiftings in perceiving its function. While until about the eighteenth century the economic reasons stood behind the planting of primarily the utility trees, since then it has been increasingly regarded also to the aesthetic point of view. The regular bus line that since 1950 has connected Podhradie to the regional centre Martin where many of the local inhabitants found work enabled the spreading of the urban style ofarranging the environment and also thepossibility to buy new types of plants. Decorative wood species were implemented in the composition of the local verdure and influenced the appearance of the village.