Geometrijski dokazi z napako

diplomsko delo

Tjaša Blažej (Author), Bojan Hvala (Mentor)

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 analiza napake, kjer napako opišemo in analiziramo.

Keywords

matematika;geometrija;dokazi;napaka;trikotniki;koti;skladni trikotniki;enakokraki trikotniki;pravokotniki;krivulje;dolžina;površina;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2010
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[T. Blažej]
UDC:	51(043.2)
COBISS:	17839112
Views:	2429
Downloads:	161
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	MISTAKES IN GEOMETRIC PROOFS
Secondary 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.
Secondary keywords:	Mistakes in proofs;geometry;angles in triangles;congruent triangles;isosceles triangles;inscribed quadrilaterals;curve lenght;area.;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	53 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	18749