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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Real world geometry in mathematics teaching
 BÁRTOVÁ, Michaela
The reader learns about relations of geometry and real life in this diploma thesis. Selected objects are mathematically formulated and illustrated with photos. Photos help to understand geometry. Models are created in the program GeoGebra. The goal is to create materials for teaching mathematics.
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Gauss and the constructability of regular polygons with ruler and compass
 Sedláčková, Veronika ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
1 ABSTRACT The bachelor thesis deals with chosen Euclidean constructions of regular polygons and summarizes their historical development. It focuses on the mathematician who is essentially adherent to this theme, his name is Carl Friedrich Gauss. In the first part of the thesis the important statements from Gauss's life and particularly from his scientific publications are given. Then the idea of algebraic formulation of the constructions with ruler and compass is characterized and the main theorems about these constructions are proved here. Further Gauss's theorem about constructability of regular polygons is given and proved while using Galois Theory. The next part is focused on Gauss's construction of the regular 17-gon, which is described in details. At the same time the thesis explains other interesting constructions from various authors created during the 19th century and in the beginning of the 20th century.
Detailed record
Gauss and the constructability of regular polygons with ruler and compass
 Sedláčková, Veronika ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
1 ABSTRACT The bachelor thesis deals with chosen Euclidean constructions of regular polygons and summarizes their historical development. It focuses on the mathematician who is essentially adherent to this theme, his name is Carl Friedrich Gauss. In the first part of the thesis the important statements from Gauss's life and particularly from his scientific publications are given. Then the idea of algebraic formulation of the constructions with ruler and compass is characterized and the main theorems about these constructions are proved here. Further Gauss's theorem about constructability of regular polygons is given and proved while using Galois Theory. The next part is focused on Gauss's construction of the regular 17-gon, which is described in details. At the same time the thesis explains other interesting constructions from various authors created during the 19th century and in the beginning of the 20th century.
Detailed record

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