In this article we discuss Napoleon’s theorem on the rectangles having two pairs of parallel sides for the case of outside direction. The proof of Napoleon’s theorem is carried out using a congruence approach. In the last section we discuss the development of Napoleon’s theorem on a quadrilateral by drawing a square from the midpoint of a line connecting each of the angle points of each square, where each of the squares is constructed on any quadrilateral and forming a square by using the row line concept.
Published in | Pure and Applied Mathematics Journal (Volume 6, Issue 4) |
DOI | 10.11648/j.pamj.20170604.11 |
Page(s) | 108-113 |
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), 2017. Published by Science Publishing Group |
Napoleon’s Theorem, Napoleon’s Theorem on Rectangles, Outside Direction, Congruence
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APA Style
Mashadi, Chitra Valentika, Sri Gemawati, Hasriati. (2017). The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction. Pure and Applied Mathematics Journal, 6(4), 108-113. https://doi.org/10.11648/j.pamj.20170604.11
ACS Style
Mashadi; Chitra Valentika; Sri Gemawati; Hasriati. The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction. Pure Appl. Math. J. 2017, 6(4), 108-113. doi: 10.11648/j.pamj.20170604.11
AMA Style
Mashadi, Chitra Valentika, Sri Gemawati, Hasriati. The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction. Pure Appl Math J. 2017;6(4):108-113. doi: 10.11648/j.pamj.20170604.11
@article{10.11648/j.pamj.20170604.11, author = {Mashadi and Chitra Valentika and Sri Gemawati and Hasriati}, title = {The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction}, journal = {Pure and Applied Mathematics Journal}, volume = {6}, number = {4}, pages = {108-113}, doi = {10.11648/j.pamj.20170604.11}, url = {https://doi.org/10.11648/j.pamj.20170604.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170604.11}, abstract = {In this article we discuss Napoleon’s theorem on the rectangles having two pairs of parallel sides for the case of outside direction. The proof of Napoleon’s theorem is carried out using a congruence approach. In the last section we discuss the development of Napoleon’s theorem on a quadrilateral by drawing a square from the midpoint of a line connecting each of the angle points of each square, where each of the squares is constructed on any quadrilateral and forming a square by using the row line concept.}, year = {2017} }
TY - JOUR T1 - The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction AU - Mashadi AU - Chitra Valentika AU - Sri Gemawati AU - Hasriati Y1 - 2017/07/18 PY - 2017 N1 - https://doi.org/10.11648/j.pamj.20170604.11 DO - 10.11648/j.pamj.20170604.11 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 108 EP - 113 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20170604.11 AB - In this article we discuss Napoleon’s theorem on the rectangles having two pairs of parallel sides for the case of outside direction. The proof of Napoleon’s theorem is carried out using a congruence approach. In the last section we discuss the development of Napoleon’s theorem on a quadrilateral by drawing a square from the midpoint of a line connecting each of the angle points of each square, where each of the squares is constructed on any quadrilateral and forming a square by using the row line concept. VL - 6 IS - 4 ER -