Original title: Kuželosečky jako řezy kuželové plochy
Translated title: Conic sections as intersections of the cutting plane with the surface of a double cone
Authors: Košťáková, Sára ; Halas, Zdeněk (advisor) ; Moravcová, Vlasta (referee)
Document type: Bachelor's theses
Year: 2017
Language: cze
Abstract: 1 Abstract This bachelor thesis points out several blank spaces in the current tea- ching of conic sections. It concentrates mainly on the relation between the cutting of a conic surface and conic sections defined planimetrocally. Further on the thesis describes the origin of names for conic sections and adds many interesting details, like a cut of a cone by Dürer, relationship between an elliptical cut of a cylindrical surface and a sinusoid, and pointing out seve- ral chosen basic application of conic sections. A huge part of the thesis is dedicated to the characterization of specific uses of conic sections in archi- tecture and, mainly, in painting, and describing geometric reconstructions and analysis of specific art pieces with further commentary. 1
Keywords: application of conics; architecture; Conic; conical surface; cross section; paintings; Quételet - Dandelin theorem; aplikace kuželoseček; architektura; kuželosečky; kuželová plocha; malířství; Quételetova--Dandelinova věta; řez kuželové plochy; řez válcové plochy

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/92745

Permalink: http://www.nusl.cz/ntk/nusl-369393


The record appears in these collections:
Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses