Pythagoras’ Theorem is one of the most fascinating results in the History of Mathematics. Although there are indications that the result was already known before by the Babylonians, was with the Pythagorean School that there was a formal demonstration of this theorem. As Loomis (1972), in 1940 were known at least 340 different demonstrations of the Pythagoras’ Theorem, whose enunciation is as follows: “In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are over each cathetus”. This article discusses Pythagoras’ Theorem and some generalizations, and introduces a new generalization of this important theorem.
| Published in | Science Journal of Education (Volume 2, Issue 6) |
| DOI | 10.11648/j.sjedu.20140206.13 |
| Page(s) | 185-187 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Mathematics Education, Geometry, Pythagoras’ Theorem
| [1] | Boyer, C. B. (1991). A History of Mathematics. USA: John Wiley. ISBN: 13: 978-0471543978 |
| [2] | Eves, H. (1990). An Introduction to History of Mathematics. (Saynders Series). USA: Cengage Learning. ISBN: 13: 978-0030295584 |
| [3] | Loomis, E. (1972). The Pythagorean Proposition. Publication of the National Council of Teachers. USA. |
APA Style
Luiz Gonzaga Xavier de Barros. (2015). Generalizations of Pythagoras’ Theorem. Science Journal of Education, 2(6), 185-187. https://doi.org/10.11648/j.sjedu.20140206.13
ACS Style
Luiz Gonzaga Xavier de Barros. Generalizations of Pythagoras’ Theorem. Sci. J. Educ. 2015, 2(6), 185-187. doi: 10.11648/j.sjedu.20140206.13
AMA Style
Luiz Gonzaga Xavier de Barros. Generalizations of Pythagoras’ Theorem. Sci J Educ. 2015;2(6):185-187. doi: 10.11648/j.sjedu.20140206.13
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Download@article{10.11648/j.sjedu.20140206.13,
author = {Luiz Gonzaga Xavier de Barros},
title = {Generalizations of Pythagoras’ Theorem},
journal = {Science Journal of Education},
volume = {2},
number = {6},
pages = {185-187},
doi = {10.11648/j.sjedu.20140206.13},
url = {https://doi.org/10.11648/j.sjedu.20140206.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjedu.20140206.13},
abstract = {Pythagoras’ Theorem is one of the most fascinating results in the History of Mathematics. Although there are indications that the result was already known before by the Babylonians, was with the Pythagorean School that there was a formal demonstration of this theorem. As Loomis (1972), in 1940 were known at least 340 different demonstrations of the Pythagoras’ Theorem, whose enunciation is as follows: “In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are over each cathetus”. This article discusses Pythagoras’ Theorem and some generalizations, and introduces a new generalization of this important theorem.},
year = {2015}
}
TY - JOUR T1 - Generalizations of Pythagoras’ Theorem AU - Luiz Gonzaga Xavier de Barros Y1 - 2015/01/06 PY - 2015 N1 - https://doi.org/10.11648/j.sjedu.20140206.13 DO - 10.11648/j.sjedu.20140206.13 T2 - Science Journal of Education JF - Science Journal of Education JO - Science Journal of Education SP - 185 EP - 187 PB - Science Publishing Group SN - 2329-0897 UR - https://doi.org/10.11648/j.sjedu.20140206.13 AB - Pythagoras’ Theorem is one of the most fascinating results in the History of Mathematics. Although there are indications that the result was already known before by the Babylonians, was with the Pythagorean School that there was a formal demonstration of this theorem. As Loomis (1972), in 1940 were known at least 340 different demonstrations of the Pythagoras’ Theorem, whose enunciation is as follows: “In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are over each cathetus”. This article discusses Pythagoras’ Theorem and some generalizations, and introduces a new generalization of this important theorem. VL - 2 IS - 6 ER -
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