20.500.12556/RUL-68068 Vivianijeva krivulja diplomsko delo Viviani's curve Diplomsko delo govori o Vivianijevi krivulji. Zajema zanimive izračune matematičnih količin, ki jih je moč povezati z omenjeno krivuljo. Namen diplomskega dela je temeljita preučitev Vivianijeve krivulje in njenih lastnosti, kot so dolžina, površina dela sfere, ki ga krivulja omejuje, prostornina telesa pod to površino in ukrivljenost krivulje. V nadaljevanju smo Vivianijevi krivulji določili stereografsko projekcijo, ki je dobro znana algebrska krivulja tretjega reda, in opravili nekaj izračunov. Zaključili smo z dvema različnima konstrukcijama. The diploma thesis deals with Viviani's curve. It comprises several interesting calculations of mathematical quantities, which can be connected with the curve mentioned above. The purpose of the thesis is to examine Viviani's curve and its properties, such as: the length, the curvature, the area of the sphere figure bounded by the curve, and the volume of the solid below the area. Additionally we have set the stereographic projection of Viviani's curve, which is a well-known third order algebraic curve, and we have done some calculations. In conclusion we have completed the thesis with two different geometrical constructions. krivulje true false false [T. Rozman] Slovenski jezik Angleški jezik Diplomsko delo 2015-07-10 20:56:38 2015-07-10 20:56:38 2025-04-17 04:52:06 0000-00-00 00:00:00 2011 0 Ljubljana 0 VII f., 60 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514(043.2) 8958025 DD_Vivianijeva_krivulja_TejaRozman.pdf DD_Vivianijeva_krivulja_TejaRozman.pdf 1 5A36122FEDF3ED0B95FB7FC815693288 bd39b0d8c41a73616c791e71b0d4cf1809163b28225a01e7f73657b9b961b764 aa650bd3-1aa6-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=203785 Pedagoška fakulteta 0 0 0