HOLDITCH’S THEOREM FOR CIRCLES IN 2-DIMENSIONAL EUCLIDEAN SPACE

Year 2009, Issue: 018, 39 - 44, 15.04.2009

Gülay Koru Yücekaya H.Hilmi Hacısalihoğlu

Abstract

The present study expresses and proves Holditch’s Theorem for two different circles in two-dimensional Euclidean space through a new method.

Keywords

Affine space, Euclidean space, Euclidean circle, Holditch’s Theorem

2-BOYUTLU ÖKLİD UZAYINDA ÇEMBER İÇİN HOLDITCH TEOREMİ

Abstract

Bu çalışmada, 2-boyutlu Öklid uzayında farklı iki çember için Holditch Teoremi yeni bir metodla ifade ve ispat edilmiştir.

Keywords

Afin Uzay, Öklid uzayı, Öklid çemberi, Holditch Teoremi

References

• [1] Hacısalihoğlu, H. H., “Diferential Geometry 1st. Ed.”, İnönü University Faculty of Arts and Science Publications, Mat. No.2, Malatya,Turkey, p 895 (1983).(Turkish)
• [2] Hacısalihoğlu, H. H., “Analytic Geometry in 2 and 3 dimensional Spaces 2nd. ed.”, Gazi University Faculty of Arts and Science Publications, No.6, Ankara, p 528, (1984).(Turkish)
• [3] Holditch, H., “Geometrical Theorem”, The Quarterly Journal Of Pure And Applied Math., Vol. II, p. 38, London, (1858).