Original title: Objem a povrch koule
Translated title: Volume and surface of sphere
Authors: Ivan, Matúš ; Bečvářová, Martina (advisor) ; Halas, Zdeněk (referee)
Document type: Bachelor's theses
Year: 2012
Language: slo
Abstract: [eng] [cze]
This work presents historical development in methods of calculating volume and surface of a sphere. It's made for high school teachers as a resource for teaching about volume and surface of solids and for high school students who developed interest in historical outlook for this theme. It contains description of particular preserved tasks from ancient Egypt and Mesopotamia. It compares precision of particular approaches taking into account the precision of the constant π. It analyses proofs of facts about volume and surface of sphere from ancient Greece. It describes assets of enlighteners for this theme and shows exact approaches for deducing the formulas for calculating volume and surface of a sphere. Práca popisuje historický vývoj metód počítania objemu a povrchu gule. Je určená stredoškolským učiteľom ako pomôcka pri výuke objemov a povrchov telies ako aj stredoškolským študentom, ktorí majú záujem o historický náhľad na preberanú tému. Obsahuje popis jednotlivých zachovaných úloh zo starovekého Egypta a Mezopotámie. Porovnáva presnosť jednotlivých postupov s prihliadnutím na presnosť konštanty π. Rozoberá dôkazy poznatkov o objeme a povrchu gule zo starovekého Grécka. Popisuje prínos osvietencov k tejto téme a ukazuje exaktné postupy odvodenia vzorcov pre výpočet objemu a povrchu gule.
Keywords: historical way; methods of solution; sphere; surface; volume; historická cesta; koule; metody výpočtu; objem; povrch

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/40617

Permalink: http://www.nusl.cz/ntk/nusl-464403


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