Area formulas for a triangle in the alpha plane


ÇOLAKOĞLU H. B., GELİŞGEN Ö., Kaya R.

MATHEMATICAL COMMUNICATIONS, vol.18, no.1, pp.123-132, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2013
  • Journal Name: MATHEMATICAL COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.123-132
  • Keywords: alpha distance, alpha plane, area, Heron's formula, plane geometry, protractor geometry
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we give three area formulas for a triangle in the alpha plane in terms of the alpha distance. The two of them are alpha versions of the standard area formula for a triangle in the Euclidean plane, and the third one is an alpha version of the well-known Heron's formula.