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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

AREA OF TRIANGLE IN THE PLANE WITH ALPHA DISTANCE FUNCTION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.337-347
https://doi.org/10.7468/jksmeb.2012.19.4.337
Oh, Chae Hee
Ko, Il Seog
Kim, Byung Hak

Abstract

The taxicab distance and Chinese-checker distance in the plane are practical distance notions with a wide range of applications compared to the Euclidean distance. The <TEX>${\alpha}$</TEX>-distance was introduced as a generalization of these two distance functions. In this paper, we study alpha circle, trigonometry, and the area of a triangle in the plane with <TEX>${\alpha}$</TEX>-distance.

keywords
alpha distance function, alpha trigonometry, triangle in alpha distance plane

Reference

1.

(2004). On the Distance Formulae in three Dimensional Taxicab Space. Hadronic J., 27, 521-532.

2.

(2005). On a Taxicab Distance on a Sphere. Missouri J. Math. Sci., 17, 41-51.

3.

Lines and Circles in Taxicab Geometry.

4.

(2006). Generalization of <TEX>$\alpha$</TEX>-distance to n-dimensional space. Scientific and Professional Journal of the Croatian Society for Geometry and Graphics (KoG), 10, 33-35.

5.

(2008). On <TEX>$\alpha_{i}$</TEX>-distance in n-dimensional space. Appl. Sci.(APPS), 10, 88-94.

6.

(2006). Distance formulae in the Chinese checker space. Int. J. Pure Appl. Math., 26(1), 35-44.

7.

(2006). Taxicab Versions of some Euclidean Theorems. Int. J. Pure Appl. Math., 26(1), 69-81.

8.

Taxicab Geometry.

9.

(2010). On the plane geometry using taxicab distance function. Communications of Mathematical Education, 24(3), 659-689.

10.

(2003). Area of a triangle in terms of the taxicab distance. Missouri J. Math. Sci., 15, 178-185.

11.

(2000). Taxicab angles and trigonometry. The Pi Mu Epsilon Journal, 11(2), 87-96.

12.

(2005). Alpha-distance - a generalization of Chinese checker distance and taxicab distance. Missouri J. Math. Sci., 17(1), 35-40.

13.

(1997). Concerning circles in taxicab geometry. Int. J. Math. Educ. Sci. Tech., 28(5), 727-733. 10.1080/0020739970280509.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics