Applications of algebraic geometry in mathematical contests
Aplikace algebraické geometrie v matematických soutěžích
bachelor thesis (DEFENDED)
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http://hdl.handle.net/20.500.11956/174619Identifiers
Study Information System: 244475
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- Kvalifikační práce [11325]
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
Computer Science with specialisation in General Computer Science
Department
Department of Algebra
Date of defense
23. 6. 2022
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
English
Grade
Excellent
Keywords (Czech)
Animace|Desarguesova involuce|kružnice|kuželosečky|resultant|algebraická geometrie|projektivní geometrie|eliptická křivkaKeywords (English)
Animation|Desargues Involution|circles|conics|resultants|algebraic geometry|projective geometry|elliptic curveThe thesis presents different algebraic approaches to solving high school geometry problems. In particular, it shows the use of circle pencils, Desargues involution, the Method of Animation, and elliptic curves. It contains selected problems with solutions to show how these techniques can solve different problems.