EN
On Carnot's Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$
Öz
In this paper, we consider the relationship between iso-taxicab distance and Euclidean distance and
give Carnot's theorem in the plane $\mathbb{R}_{\pi 3}^{2}$, the theorem can also be thought of as a generalization of the Pythagorean theorem.
Anahtar Kelimeler
Kaynakça
- Sowell, K. O. (1989). Taxicab geometry—a new slant. Mathematics Magazine, 62(4), 238-248.
- Kocayusufoğlu, I., & Ada, T. (2006). On the iso-taxicab trigonometry. Applied Sciences, 8, 101-111.
- Kocayusufoğlu, İ. (2000). Trigonometry on iso-taxicab geometry. Mathematical and Computational Applications, 5(3), 201-212.
- Bayar, A., & Kaya, R. (2011). On isometries of $\mathbb{R}_{\pi n}^{2}$. Hacettepe Journal of Mathematics and Statistics, 40(5), 673-679.
- Bayar, A., Ekmekçi, S., & Özcan, M. (2009). On trigonometric functions and cosine and sine rules in taxicab plane. International Electronic Journal of Geometry, 2(1), 17-24.
- Özcan, M., Ekmekçi, S., & Bayar, A. (2002). A note on the variation of the taxicab lengths under rotations. Pi Mu Epsilon Journal, 11(7), 381-384.
- Akça, Z., & Nazlı, S. (2022). On the versions in the plane $\mathbb{R}% _{\pi 3}^{2}$ of some Euclidean theorems. New Trends in Mathematical Sciences, 10(1), 20-27.
- Akça, Z., & Nazlı, S. (2022). The shortest distance of a point to the line in the plane $\mathbb{R}% _{\pi 3}^{2}$. New Trends in Mathematical Sciences, 10(4), 128-132.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Aralık 2022
Gönderilme Tarihi
21 Aralık 2022
Kabul Tarihi
27 Aralık 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 4 Sayı: 2
APA
Akça, Z., & Nazlı, S. (2022). On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$. Hagia Sophia Journal of Geometry, 4(2), 35-40. https://izlik.org/JA96ZT56LU
AMA
1.Akça Z, Nazlı S. On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$. HSJG. 2022;4(2):35-40. https://izlik.org/JA96ZT56LU
Chicago
Akça, Ziya, ve Selahattin Nazlı. 2022. “On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Hagia Sophia Journal of Geometry 4 (2): 35-40. https://izlik.org/JA96ZT56LU.
EndNote
Akça Z, Nazlı S (01 Aralık 2022) On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$. Hagia Sophia Journal of Geometry 4 2 35–40.
IEEE
[1]Z. Akça ve S. Nazlı, “On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$”, HSJG, c. 4, sy 2, ss. 35–40, Ara. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA96ZT56LU
ISNAD
Akça, Ziya - Nazlı, Selahattin. “On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Hagia Sophia Journal of Geometry 4/2 (01 Aralık 2022): 35-40. https://izlik.org/JA96ZT56LU.
JAMA
1.Akça Z, Nazlı S. On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$. HSJG. 2022;4:35–40.
MLA
Akça, Ziya, ve Selahattin Nazlı. “On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Hagia Sophia Journal of Geometry, c. 4, sy 2, Aralık 2022, ss. 35-40, https://izlik.org/JA96ZT56LU.
Vancouver
1.Ziya Akça, Selahattin Nazlı. On Carnot’s Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$. HSJG [Internet]. 01 Aralık 2022;4(2):35-40. Erişim adresi: https://izlik.org/JA96ZT56LU