Pythagorean theorems in the alpha plane

ÇOLAKOĞLU H. B., GELİŞGEN Ö., Kaya R.

MATHEMATICAL COMMUNICATIONS, cilt.14, sa.2, ss.211-221, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.211-221
  • Anahtar Kelimeler: Pythagorean theorem, alpha metric, alpha plane, metric geometry
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we give three alpha versions of the Pythagorean Theorem and show that the converse statements are not true. Finally, we give a necessary and sufficient condition for a triangle in the alpha plane to have right angle.