Název:
Kuželosečky jako řezy kuželové plochy
Překlad názvu:
Conic sections as intersections of the cutting plane with the surface of a double cone
Autoři:
Košťáková, Sára ; Halas, Zdeněk (vedoucí práce) ; Moravcová, Vlasta (oponent) Typ dokumentu: Bakalářské práce
Rok:
2017
Jazyk:
cze
Abstrakt: 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
Klíčová slova:
aplikace kuželoseček; architektura; kuželosečky; kuželová plocha; malířství; Quételetova--Dandelinova věta; řez kuželové plochy; řez válcové plochy; application of conics; architecture; Conic; conical surface; cross section; paintings; Quételet - Dandelin theorem