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National Repository of Grey Literature 1 records found  Search took 0.02 seconds. 
Selected problems in differential geometry
 Paclt, Jan ; Slavík, Antonín (advisor) ; Šír, Zbyněk (referee)
This thesis covers an overview and solution to selected problems in the differential geometry of plane curves. It focuses mainly on calculating areas of regions bounded by plane curves and also on evolutes, involutes and related trochoids and their properties. The work also provides a self-contained theoretical introduction to the differential geome- try of plane curves. Some ideas and mathematical derivations obtained from the original publications were further expanded and generalized by the author. All derivations men- tioned in the work are given in a uniform convention, which should make it easier for the reader to orientate and find relations between the topics discussed. The thesis can be used as a study support for students of bachelor's courses in geometry or specifically for students with a focus on descriptive geometry. 1
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