20.500.12556/DKUM-14904 GEOMETRIJSKI DOKAZI Z NAPAKO MISTAKES IN GEOMETRIC PROOFS V diplomskem delu je predstavljenih petnajst primerov dokazov z napako. Napake so razdeljene v osem skupin: varljive slike, neupoštevanje vseh možnosti, deljenje z nič, dokazi s skrito predpostavko, površni sklepi, nerazumevanje dokazanega, nepravilna raba besede 'limita' ter neustrezen prenos iz prostora v ravnino. Pri vsakem primeru je najprej predstavljen dokaz z napako, sledi pa analiza napake, kjer napako opišemo in analiziramo. In this graduation thesis fifteen examples of mistakes in geometric proofs are introduced. Mistakes are divided in eight main groups: fallacious images, not all possible cases were taken into account, division by zero, proofs with hidden assumptions, superficial conclusions, failure to understand what has been proved, improper use of the word 'limit', and improper transfer of space to plane. In each example proof with mistake is introduced followed by mistake analysis, where the mistake is described and analysed. Dokazi z napako geometrija koti v trikotniku skladni trikotniki enakokraki trikotniki včrtani pravokotniki dolžina krivulje površina. Mistakes in proofs geometry angles in triangles congruent triangles isosceles triangles inscribed quadrilaterals curve lenght area. true true false [T. Blažej] Slovenski jezik Angleški jezik Diplomsko delo 2010-07-21 17:22:04 2010-09-06 14:16:43 2022-04-12 22:25:19 2023-12-18 03:21:56 2010 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17839112 URN:SI:UM:DK:ARVKWOES UNI_Blazej_Tjasa_2010.pdf UNI_Blazej_Tjasa_2010.pdf 1 38B7707093433BAADDC468817324722F 36872c0e4996d23203edab8651f9e4cf64a741930ada784425c38b9c924ad0f9 4480f699-7c04-11eb-bb7a-00155d0001ca 20.500.12556/dkum/f2dee089-341f-4582-916b-dec5f5c6f5fc https://dk.um.si/Dokument.php?lang=slv&id=16169 Fakulteta za naravoslovje in matematiko 0 0 0