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SOME CONTRIBUTIONS TO REGULAR POLYGONS

Yıl 2017, Cilt: 5 Sayı: 2, 70 - 77, 15.10.2017

Öz

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.

Kaynakça

  • [1] S. Brodie, Napoleon's Theorem, Two simple proofs, http://www.cut-theknot. org/proofs/napoleon.shtml (Accessed on 16 March 2016).
  • [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.
  • [4] J. A. Grzesik, Yet another analytic proof of Napoleon's Theorem, Amer. Math. Monthly, 123(8), (2016), 824.
  • [5] B. Grunbaum, Is Napoleon's Theorem Really Napoleon's Theorem?, Amer. Math. Monthly, 119(6), (2012), 495-501.
  • [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.
  • [7] H. Martini, On the theorem of Napoleon and related topics, Math. Semesterber., 43, (1996), 47-64, http://dx.doi.org/10.1007/s005910050013
  • [8] Wetzel, J.E., Converse of Napoleon's Theorem, Amer. Math. Monthly, 99(4), (1992), 339-351.
Yıl 2017, Cilt: 5 Sayı: 2, 70 - 77, 15.10.2017

Öz

Kaynakça

  • [1] S. Brodie, Napoleon's Theorem, Two simple proofs, http://www.cut-theknot. org/proofs/napoleon.shtml (Accessed on 16 March 2016).
  • [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.
  • [4] J. A. Grzesik, Yet another analytic proof of Napoleon's Theorem, Amer. Math. Monthly, 123(8), (2016), 824.
  • [5] B. Grunbaum, Is Napoleon's Theorem Really Napoleon's Theorem?, Amer. Math. Monthly, 119(6), (2012), 495-501.
  • [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.
  • [7] H. Martini, On the theorem of Napoleon and related topics, Math. Semesterber., 43, (1996), 47-64, http://dx.doi.org/10.1007/s005910050013
  • [8] Wetzel, J.E., Converse of Napoleon's Theorem, Amer. Math. Monthly, 99(4), (1992), 339-351.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

Deniz Öncel Bu kişi benim

Murat Kirişçi Bu kişi benim

Yayımlanma Tarihi 15 Ekim 2017
Gönderilme Tarihi 13 Ekim 2017
Kabul Tarihi 7 Haziran 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Öncel, D., & Kirişçi, M. (2017). SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp Journal of Mathematics, 5(2), 70-77.
AMA Öncel D, Kirişçi M. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. Ekim 2017;5(2):70-77.
Chicago Öncel, Deniz, ve Murat Kirişçi. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics 5, sy. 2 (Ekim 2017): 70-77.
EndNote Öncel D, Kirişçi M (01 Ekim 2017) SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp Journal of Mathematics 5 2 70–77.
IEEE D. Öncel ve M. Kirişçi, “SOME CONTRIBUTIONS TO REGULAR POLYGONS”, Konuralp J. Math., c. 5, sy. 2, ss. 70–77, 2017.
ISNAD Öncel, Deniz - Kirişçi, Murat. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics 5/2 (Ekim 2017), 70-77.
JAMA Öncel D, Kirişçi M. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. 2017;5:70–77.
MLA Öncel, Deniz ve Murat Kirişçi. “SOME CONTRIBUTIONS TO REGULAR POLYGONS”. Konuralp Journal of Mathematics, c. 5, sy. 2, 2017, ss. 70-77.
Vancouver Öncel D, Kirişçi M. SOME CONTRIBUTIONS TO REGULAR POLYGONS. Konuralp J. Math. 2017;5(2):70-7.
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