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Non-Euclidian Geometries in Computer Games
Jůda, Štěpán ; Hůlka, Tomáš (referee) ; Dobrovský, Ladislav (advisor)
The work deals with the origin and description of non-Euclidean geometry and its division into hyperbolic and elliptic non-Euclidean geometry. It also discusses the behavior of geometric elements from Euclidean geometry in non-Euclidean geometries. Another subject of this work is the classification of computer games that use non-Euclidean geometry. The last point is the process of creating my own computer game.
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Non-Euclidian Geometries in Computer Games
Jůda, Štěpán ; Hůlka, Tomáš (referee) ; Dobrovský, Ladislav (advisor)
The work deals with the origin and description of non-Euclidean geometry and its division into hyperbolic and elliptic non-Euclidean geometry. It also discusses the behavior of geometric elements from Euclidean geometry in non-Euclidean geometries. Another subject of this work is the classification of computer games that use non-Euclidean geometry. The last point is the process of creating my own computer game.
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Algebraic Curves in History and School
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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Algebraic curves in history and school
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Vondrová, Naďa (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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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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Algebraic Curves in History and School
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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Algebraic curves in history and school
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Vondrová, Naďa (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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Hyperbole, Imagination and Tradition in Luigi Pulci's Morgante
Žáčková, Magdalena ; Pelán, Jiří (advisor) ; Flemrová, Alice (referee)
- Hyperbole, Imagination and Tradition in Luigi Pulci's Morgante The epic Morgante, compiled at the end of the 15th century by the poet Luigi Pulci, stands at the turn of two historical eras. It is a meeting point of the Middle Ages and Renaissance with their literary influences and ideas. Also, it reflects the change in the development stages of the genre: from the period when the heroic narrative was declaimed by minstrels (joglars) on squares, this subject matter was gradually introduced into royal courts, where it was influenced by a more elevated culture. The main elements of this epic include the adoption of several literary traditions, the comic in many of its forms, and religion, all of which is underlined with the special imagination of the author together with allusions to his own life situation. Luigi Pulci adopted not only the tradition of the heroic matter full of typical medieval patterns (topoi) very popular in Italy at that time, but also the comic-realistic literary tradition of Tuscany, which provides his narrative with a different tone in many ways, and thus incorporates Morgante in a literary field different from the one which its predecessors were part of. Orlando is the most significant of these; it is a text that was used by Pulci as a direct inspiration for his work and most...
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A contrastive study of hyperbole in Czech and English. A corpus-based study
Macháčková, Anežka ; Klégr, Aleš (advisor) ; Čermák, Jan (referee)
The aim of this study is to compare and contrast the use of hyperbole or exaggeration in spoken Czech and English language. The research is based on comparative approach to two samples accounting for 100 hyperbolic instances in Czech and 100 instances of hyperbole in English. The Czech sample has been randomly excerpted from the oral part of the Czech National Corpus ORAL2008, whereas the English sample has been randomly excerpted from the "spoken context-govern" and "spoken demographic" sections of The British National Corpus. The two samples are subject to analysis. Firstly, the formal realization of hyperbole is examined. Secondly, the occurrences are classified semantically (quantitative versus qualitative hyperbole) and, thirdly, the lexico-semantics is examined (hyperbolic source domains). By this, the present study tests the hypothesis of universal hyperbolic source domains by examining the situation in Czech and English. Finally, the occurrence of conventionalized instances of hyperbole as opposed to creative instances of hyperbolic nonce-usages is examined. Last but not least, it is the aim of this study to provide the overall frequency figures of hyperbole in both languages.
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Geometry in architecture
BÁRTOVÁ, Michaela
The reader will understand the relationship between geometry and everyday life. Selected curves and bodyes are mathematically described. It is illustrated with photos of architectural elements. 3D models are made in GeoGebra and SketchUp. Blending theory and practice to help understand the geometry. It can be used for teaching math and geometry. This thesis discusses about the conic, selected technical curves and quardics.
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