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Title:GEOMETRIJSKI DOKAZI Z NAPAKO
Authors:ID Blažej, Tjaša (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf UNI_Blazej_Tjasa_2010.pdf (1,40 MB)
MD5: 38B7707093433BAADDC468817324722F
PID: 20.500.12556/dkum/f2dee089-341f-4582-916b-dec5f5c6f5fc
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract: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.
Keywords:Dokazi z napako, geometrija, koti v trikotniku, skladni trikotniki, enakokraki trikotniki, včrtani pravokotniki, dolžina krivulje, površina.
Place of publishing:Maribor
Publisher:[T. Blažej]
Year of publishing:2010
PID:20.500.12556/DKUM-14904 New window
UDC:51(043.2)
COBISS.SI-ID:17839112 New window
NUK URN:URN:SI:UM:DK:ARVKWOES
Publication date in DKUM:06.09.2010
Views:3031
Downloads:259
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:MISTAKES IN GEOMETRIC PROOFS
Abstract: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.
Keywords:Mistakes in proofs, geometry, angles in triangles, congruent triangles, isosceles triangles, inscribed quadrilaterals, curve lenght, area.


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