||Generalizing 2D Geometric Properties to 3D With the Aid of DGS
||Dohyun KIM, Seunguk JANG, Hyobin LEE and Youngdae KIM
In this paper, we would show how we could use computer programs in geometry researches. This paper contains the processes of generalizing the properties of 2D-geometry to that of 3D-geometry. In addition, we would show how we could generalize backward; we could generalize further on 2D-geometry using the properties we found in 3D-geometry. In our research, we tried to generalize triangular properties into polygons and tetrahedrons. The computer tools we used are GSP and Cabri 3D. We used GSP for 2-dimensional researches and Cabri 3D for 3-dimensional researches.