ISSN : 1226-0657
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.
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