![]() %T Stewart’s Theorem and Median Property in the Galilean Plane %0 Journal of Advanced Research in Natural and Applied Sciences Stewart’s Theorem and Median Property in the Galilean Plane T1 - Stewart’s Theorem and Median Property in the Galilean Plane "Stewart’s Theorem and Median Property in the Galilean Plane". ![]() Journal of Advanced Research in Natural and Applied Sciences 9 (2023 ![]() "Stewart’s Theorem and Median Property in the Galilean Plane" Journal of Advanced Research in Natural and Applied Sciences Stewart’s Theorem and Median Property in the Galilean Plane Balkan Society of Geometries Geometry Balkan Press, Volume: 11, pp. Demonstratıo Mathematıca, Volume: XLVI, No: 4, pp. The Alpha-Version of the Stewart’s Theorem. Taxicab Version of Some Euclidean Theorem. International Elektronic Journal of Geometry, Volume 6, No: 1, pp. One-Parameter Planar Motion on the Galilean Plane. On the Concept of Circle and Angle in Galilean Plane. Area of a Triangle in Terms of the Taxicab Distance. A Simple Non-Euclidean Geometry and Its Physical Basis. Therefore, in this study, we give the Galilean-analogues of Stewart’s theorem and median property for the triangles whose sides are on ordinary lines. The theorems and the properties of triangles in the Euclidean plane can be studied in the Galilean plane. Thus, we can compare the many theorems and properties which is included the concept of distance in these geometries. The difference between Euclidean plane and Galilean plane is the distance function. We should attention that these two types of galilean lines cannot be compared. All we need add is that we single out special lines with special direction vectors in Galilean plane. The coordinates of a vector ? and the coordinates of a point ? (defined as the coordinates of ?, where ? is the fixed origin) are introduced in Galilean plane in the same way as in Euclidean geometry. The Galilean plane ?2 is almost the same as the Euclidean plane. This means that the concepts of lines, parallel lines, ratios of collinear segments, and areas of figures are significant not only in Euclidean plane but also in Galilean plane. Galilean plane can be introduced in the affine plane, as in Euclidean plane.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |