National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Plane geometry problems solved by algebraic geometry
Trummová, Ivana ; Šťovíček, Jan (advisor) ; Růžička, Pavel (referee)
In this thesis I focus on a certain part of algebraic geometry which studies plane curves and their intersection points. The main part is a proof of Bézout's theorem and an overview of its corollaries, which have an interesting geometric visualization. The most important corollary is the proof of associativity of adding points on elliptic curves. This fact is widely used in modern cryptography. 21
The properties of selected plane curves
TOMANDLOVÁ, Lucie
The thesis is focused on the properties of the selected plane curves of order higher than two and one transcendent curve. To each curve an overview of its properties which are then derived and described in detail is given. All curves are enriched with their images that are created in mathematical software GeoGebra. In addition, to these images the text links directly to GeoGebra are added, where some interesting features are described and demonstrated.

Interested in being notified about new results for this query?
Subscribe to the RSS feed.