Research Article

SOME CONTRIBUTIONS TO REGULAR POLYGONS

Volume: 5 Number: 2 October 15, 2017
  • Deniz Öncel
  • Murat Kirişçi
EN

SOME CONTRIBUTIONS TO REGULAR POLYGONS

Abstract

The aim of this work is to use Napoleon's Theorem in different regular polygons, and decide whether we can prove Napoleon's Theorem is only limited with triangles or it could be done in other regular polygons that can create regular polygons.

Keywords

References

  1. [1] S. Brodie, Napoleon's Theorem, Two simple proofs, http://www.cut-theknot. org/proofs/napoleon.shtml (Accessed on 16 March 2016).
  2. [2] H. Demir, Solution to Problem E2122, Amer. Math. Monthly, 76, (1969), 833. [3] L. Gerber, Napoleon's theorem and the parallelogram inequality for ane regular polygons, Amer. Math. Monthly, 87, (1980), 644-648.
  3. [4] J. A. Grzesik, Yet another analytic proof of Napoleon's Theorem, Amer. Math. Monthly, 123(8), (2016), 824.
  4. [5] B. Grunbaum, Is Napoleon's Theorem Really Napoleon's Theorem?, Amer. Math. Monthly, 119(6), (2012), 495-501.
  5. [6] M. Hajja, H. Martini, M. Spirova, On Converse of Napoleon's Theorem and a modi ed shape function, Beitr. Algebra Geom., 47, (2006), 363383.
  6. [7] H. Martini, On the theorem of Napoleon and related topics, Math. Semesterber., 43, (1996), 47-64, http://dx.doi.org/10.1007/s005910050013
  7. [8] Wetzel, J.E., Converse of Napoleon's Theorem, Amer. Math. Monthly, 99(4), (1992), 339-351.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Deniz Öncel This is me
Türkiye

Murat Kirişçi This is me
Türkiye

Publication Date

October 15, 2017

Submission Date

October 13, 2017

Acceptance Date

June 7, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Öncel, D., & Kirişçi, M. (2017). SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp Journal of Mathematics, 5(2), 70-77. https://izlik.org/JA57YP84UA
AMA
1.Öncel D, Kirişçi M. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. 2017;5(2):70-77. https://izlik.org/JA57YP84UA
Chicago
Öncel, Deniz, and Murat Kirişçi. 2017. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics 5 (2): 70-77. https://izlik.org/JA57YP84UA.
EndNote
Öncel D, Kirişçi M (October 1, 2017) SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp Journal of Mathematics 5 2 70–77.
IEEE
[1]D. Öncel and M. Kirişçi, “SOME CONTRIBUTIONS TO REGULAR POLYGONS”, Konuralp J. Math., vol. 5, no. 2, pp. 70–77, Oct. 2017, [Online]. Available: https://izlik.org/JA57YP84UA
ISNAD
Öncel, Deniz - Kirişçi, Murat. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 70-77. https://izlik.org/JA57YP84UA.
JAMA
1.Öncel D, Kirişçi M. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. 2017;5:70–77.
MLA
Öncel, Deniz, and Murat Kirişçi. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 70-77, https://izlik.org/JA57YP84UA.
Vancouver
1.Deniz Öncel, Murat Kirişçi. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):70-7. Available from: https://izlik.org/JA57YP84UA
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