Proofs without words
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2023-11-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/33596 |
| _version_ | 1797194463004590080 |
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| author | Edmundas Mazėtis Grigorijus Melničenko |
| author_facet | Edmundas Mazėtis Grigorijus Melničenko |
| author_sort | Edmundas Mazėtis |
| collection | DOAJ |
| description |
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.
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| first_indexed | 2024-03-07T15:40:39Z |
| format | Article |
| id | doaj.art-69e00fa192d24e9a994a54749543a58d |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:56:40Z |
| publishDate | 2023-11-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-69e00fa192d24e9a994a54749543a58d2024-04-23T09:00:34ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-11-0164B10.15388/LMR.2023.33596Proofs without wordsEdmundas Mazėtis0Grigorijus Melničenko1Vilnius UniversityVytautas Magnus University 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. https://www.journals.vu.lt/LMR/article/view/33596mathematical propositionsproofsdrawingproof idea |
| spellingShingle | Edmundas Mazėtis Grigorijus Melničenko Proofs without words Lietuvos Matematikos Rinkinys mathematical propositions proofs drawing proof idea |
| title | Proofs without words |
| title_full | Proofs without words |
| title_fullStr | Proofs without words |
| title_full_unstemmed | Proofs without words |
| title_short | Proofs without words |
| title_sort | proofs without words |
| topic | mathematical propositions proofs drawing proof idea |
| url | https://www.journals.vu.lt/LMR/article/view/33596 |
| work_keys_str_mv | AT edmundasmazetis proofswithoutwords AT grigorijusmelnicenko proofswithoutwords |