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Proofs without words

Authors :
Edmundas Mazėtis
Grigorijus Melničenko
Source :
Lietuvos Matematikos Rinkinys, Vol 64, Iss B (2023)
Publication Year :
2023
Publisher :
Vilnius University Press, 2023.

Abstract

Usually, proofs of mathematical statements involve both algebraic rearrangements and logical reasoning. But there are mathematical statements whose truth is obvious at first glance when there is a diagram illustrating that proof. Although the proofs based on the drawing are not necessarily full and complete, but the drawing helps to notice facts that are then easily supported by algebra and logic. The paper presents proofs of mathematical propositions where, upon careful study of the drawing, the main idea of the proof can be seen from the drawing, and the proof itself becomes beautiful and clear.

Details

Language :
English, Lithuanian
ISSN :
01322818 and 2335898X
Volume :
64
Issue :
B
Database :
Directory of Open Access Journals
Journal :
Lietuvos Matematikos Rinkinys
Publication Type :
Academic Journal
Accession number :
edsdoj.69e00fa192d24e9a994a54749543a58d
Document Type :
article
Full Text :
https://doi.org/10.15388/LMR.2023.33596