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Conics around us
ŠAFÁŘOVÁ, Denisa
This Bachelor's thesis is focused on curves around us. Primarily emphasizes conics and their presence in the real world. They can appear for example in architecture, engineering or nature. Individual conics and their properties are defined in the first part. There are also definitions of chosen algebraic curves. The text is interleaved by pictures made in GeoGebra. The second part is based on identification of conics and chosen curves on photographs using GeoGebra. The theoretical knowledge like algebraic proof that it is a given conic is used for some photographs.
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Paper folding as a tool in teaching mathematics
SCHINKOVÁ, Nikol
In my thesis I am dealing with the usage of origami at teaching mathematics. In the first chapters I mention a brief history and kinds of creases such as Huzita axioms etc. In the second part I introduce three chapters concerning folding of structures supported by work-sheets at different difficulty levels. The content of these chapters comprises of conic sections and diameters of trapezoids. The last chapters of the thesis are focused on three kinds of folding: Yoshimura, Miura and modular, which are also used in architecture, house design and astronautics.
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Collection of examples on the topic of conics
HRONOVÁ, Žaneta
Diploma thesis deals especially with practical examples on the topic of conics. It is divided into two parts. The first part includes chapters with examples on the topics discussed in the course Geometry I. In the second part affine properties of conics, which can be used in construction tasks, Pascal's theorem and Brianchon's theorem and their use are mentioned. The aim of this thesis is to ilustrate the conics on typical examples for those interested and then to show them the interesting properties, for which there is no space in the course Geometry I.
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The use of dynamic geometry software to determine conics and other curves around us.
TEN HAGEN, Libor
This bachelor thesis concerns conics and their occurrence in the world around us. The aim is to point out the connection between geometry and everyday live, between theory and practical use of conics. The first part deals with conics, their equations and constructions. Some pictures made in software GeoGebra are given as well. Second part deals with basic information of constructions of bridges and describes their properties. The third part contains photographs of conics. Most of photographs depict bridges, which are analyzed in the software GeoGebra. Every photographed object is shortly described.
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