20.500.12556/RUL-85792 Dioklova cisoida diplomsko delo Cissoid of Diocles V diplomskem delu so predstavljeni trije klasični matematični problemi iz obdobja antike. Izpostavljen je problem podvojitve kocke, ki sprašuje po tem, kako konstruirati rob kocke, ki ima dvakrat večjo prostornino kot dana kocka. Ena izmed najbolj pomembnih ravninskih krivulj, ki pomaga rešiti ta problem, je Dioklova cisoida, ki je v diplomskem delu podrobneje opisana. Obravnavane so tudi katakavstike krivulj, ki so ovojnice odbitih žarkov danega snopa žarkov, ki padajo na Dioklovo cisoido. Vse to je tudi narisano v programu GeoGebra. In my thesis I present three classical mathematical problems of antiquity. I focus on the problem of doubling the cube, which is examining how can we, given an edge of a cube, construct an edge of a second cube, whose volume is double that of the first. One of the most important cubic plane curves that helps to solve this problem is the cissoid of Diocles, which I describe in greater detail in the present dissertation. Further discussion is given to catacaustics, the curves that are envelopes of reflected rays of a specific beam of rays falling on the cissoid of Diocles. All the stated problems are also modelled using GeoGebra software. problem podvojitve kocke cisoida katakavstika krivulja Diokles mathematics matematika true false false [E. Pašagić] Slovenski jezik Angleški jezik Diplomsko delo 2016-09-25 02:35:08 2017-09-20 15:23:07 2025-04-17 04:52:33 0000-00-00 00:00:00 2016 0 0 53 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 11182409 Diploma_PASAGIC_V5.pdf Diploma_PASAGIC_V5.pdf 1 537F79CCBBDC8F7D528F9786C8653ED8 c1c5a507d624a9a97a5f05262f8909259d591ea4f5f10452bc264599663afd2d cbe4cb8a-1aab-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=204836 Pedagoška fakulteta 0 0 0