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Workbook of Monge projection
Pajerová, Nikola ; Hromadová, Jana (advisor) ; Štěpánová, Martina (referee)
In this thesis there can be found various examples from Monge projection. The theory is summarized in the beginning, which is important of understanding the projection and for solving the examples. There are also examples of solving axial affinity and central collineation. Then there is a chapter about the projection of all types of angular and rotational solids, which are solved at the secondary schools. Then follows a chapter, where the sections of these solids are constructed. In the last chapter, there are solved intersection of solids from each type. Powered by TCPDF (www.tcpdf.org)
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Web application for teaching of axial affinity and perspective collineation
Plichtová, Petra ; Hromadová, Jana (advisor) ; Surynková, Petra (referee)
This work is intended for high school and university students and their teachers who want to learn or improve their knowledge about affine transformations and perspective collineation. In this work the reader acquainted with the ideal elements, dividing ratio and cross ratio. The main part of the work is perspective collineation and affine transformations, their definitions, properties, specificity and finding other elements. This work also deals with the use of affine transformations and perspective collineation in descriptive geometry. The text is supplemented with illustrative images, applets and step-by-step images that are created with GeoGebra software. Keywords: affine transformations, perspective collineation, ideal elements, cuts of solids, dividing ratio, cross ratio
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Construction tasks in space
MALÍŘSKÁ, Eva
My bachelor thesis focuses on Construction tasks in space. Its aim is a full explanation and a summary of knowledge of stereometry. This knowledge could be used by pupils at primary schools and students at secondary schools in the topic construction tasks. The theme is very neglected in general which leads to very low level of spatial imagination. I have created construction tasks in space in a free parallel projection with using interactive geometric software GeoGebra. The bachelor thesis contains solved examples with a detailed commentary of solution but it also includes unsolved examples for practising.
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