| Table of Contents | 第1-5页 |
| Acknowledgements | 第5-6页 |
| Abstract in Chinese | 第6-10页 |
| Abstract in English | 第10-12页 |
| Preface | 第12-20页 |
| 1 About 4-isosceles Planar Sets | 第20-46页 |
| ·Introduction | 第20-22页 |
| ·4-isosceles Planar Sets with Linear Restrictions | 第22-25页 |
| ·Circle and Linear Restrictions | 第25-29页 |
| ·The existence of 4-isosceles 9-point planar sets | 第29-33页 |
| ·More 4-isosceles 8-point planar sets | 第33-46页 |
| 2 The Number of Isosceles Right Triangles Determined by N points in Convex Position in the Plane | 第46-74页 |
| ·Introduction | 第46-48页 |
| ·The Results about Isosceles Right Triangles | 第48-63页 |
| ·The results about Isosceles Triangles | 第63-72页 |
| ·What Next? | 第72-74页 |
| 3 The Lower Bound of the Number of Non-overlapping triangles | 第74-88页 |
| ·Introduction | 第74-77页 |
| ·Proof of our Main Result | 第77-88页 |
| Bibliography | 第88-96页 |
