Occurrence of Galilean Geometry

Abstract

The main difference of Galilean geometry is its relative simplicity, for it enables the student to study it in relative detail without losing a great deal of time and intellectual energy. In this paper, we introduce you with new geometric(non-Euclidean) ideas which exist in affine plane and more simple than Euclidean plane.

On the Concept of Circle and Angle in Galilean Plane

“…Bilindiği gibi, Galileo düzleminde alınan herhangi ( ) tanımlanmaktaydı [1]. Eğer noktalar oy-koordinat eksenine parallel doğrular üzerinde olursa aralarındaki mesafe ikinci eşitlik ile hesaplanır.…”

On Geometries in Affine Plane

“…In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you with some of geometries that are suitable to this description in 2 dimensional planes [2], [3], [4] and [5].…”