Araştırma Makalesi
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On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan

Yıl 2009, Cilt: 2 Sayı: 1, 17 - 24, 30.04.2009

Ayşe Bayar Süheyla Ekmekçi Münevver Özcan

Öz

In this study, we try to devolope cosine and sine functions in
the taxicab plane by using the reference angle. Also, we give geometrical
interpretations by using these functions. Then, analogues of the cosine and
sine rules in the taxicab plane are studied.

Anahtar Kelimeler

Taxicab cosine index taxicab sine index taxicab cosine function

Kaynakça

  • [1] Akca, Z. and Kaya, R., On the Taxicab Trigonometry, Jour. of Inst. of Math& Comp. Sci. (Math. Ser) 10 (1997), No 3, 151-159.
  • [2] Akca, Z. and Kaya, R., On the Norm in Higher Dimensional Taxicab Spaces, Hadronic Journal Supplement, 19 (2004), 491-502.
  • [3] Brisbin, R. and Artola, P., Taxicab Trigonometry, Pi Mu Epsilon J., 8, 89-95 (1984).
  • [4]  Ozcan, M. and Kaya, R., On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties, Missouri J. of Math. Sci. 14 , (2002), No 2, 107-117.
  • [5]  Ozcan, M. and Kaya, R., Area of a Triangle in Terms of the Taxicab Distance, Missouri J. of Math. Sci. 14(2003), No 3, 178-185.
  • [6]  Ozcan, M., Ekmekçi S. and Bayar, A., A Note on the Variation of the Taxicab Lengths Under Rotations, Pi Mu Epsilon J.,11(2002), No 7,381-384.
  • [7] Schattschneider, D. J.,The Taxicab Group, American Mathematical Monthly, 91 (1984), 423- 428.
  • [8] Thompson, K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon J., 11 (2000), 87-97.

Yıl 2009, Cilt: 2 Sayı: 1, 17 - 24, 30.04.2009

Ayşe Bayar Süheyla Ekmekçi Münevver Özcan

Öz

Kaynakça

  • [1] Akca, Z. and Kaya, R., On the Taxicab Trigonometry, Jour. of Inst. of Math& Comp. Sci. (Math. Ser) 10 (1997), No 3, 151-159.
  • [2] Akca, Z. and Kaya, R., On the Norm in Higher Dimensional Taxicab Spaces, Hadronic Journal Supplement, 19 (2004), 491-502.
  • [3] Brisbin, R. and Artola, P., Taxicab Trigonometry, Pi Mu Epsilon J., 8, 89-95 (1984).
  • [4]  Ozcan, M. and Kaya, R., On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties, Missouri J. of Math. Sci. 14 , (2002), No 2, 107-117.
  • [5]  Ozcan, M. and Kaya, R., Area of a Triangle in Terms of the Taxicab Distance, Missouri J. of Math. Sci. 14(2003), No 3, 178-185.
  • [6]  Ozcan, M., Ekmekçi S. and Bayar, A., A Note on the Variation of the Taxicab Lengths Under Rotations, Pi Mu Epsilon J.,11(2002), No 7,381-384.
  • [7] Schattschneider, D. J.,The Taxicab Group, American Mathematical Monthly, 91 (1984), 423- 428.
  • [8] Thompson, K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon J., 11 (2000), 87-97.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Ayşe Bayar

Süheyla Ekmekçi

Münevver Özcan Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 1

Kaynak Göster

APA Bayar, A., Ekmekçi, S., & Özcan, M. (2009). On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. International Electronic Journal of Geometry, 2(1), 17-24.
AMA Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. Nisan 2009;2(1):17-24.
Chicago Bayar, Ayşe, Süheyla Ekmekçi, ve Münevver Özcan. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry 2, sy. 1 (Nisan 2009): 17-24.
EndNote Bayar A, Ekmekçi S, Özcan M (01 Nisan 2009) On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. International Electronic Journal of Geometry 2 1 17–24.
IEEE A. Bayar, S. Ekmekçi, ve M. Özcan, “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”, Int. Electron. J. Geom., c. 2, sy. 1, ss. 17–24, 2009.
ISNAD Bayar, Ayşe vd. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry 2/1 (Nisan 2009), 17-24.
JAMA Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. 2009;2:17–24.
MLA Bayar, Ayşe vd. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry, c. 2, sy. 1, 2009, ss. 17-24.
Vancouver Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. 2009;2(1):17-24.