1. Method Plane analytical geometry is utilized to carry out 3D design with ZD plane map under various well conditions.

2. The teaching of plane analytical geometry is short of the suitable courseware resources in practice.

3. Rene Descartes (1596 - 1650), the founder of analytical geometry, is also known as the father of modem philosophy.

4. Coursework in this field will include analytical geometry and calculus, as well as the study of electricity, magnetism, thermal energy, and related subjects.

5. The problem of attaining the tangent equation of a certain point on a quadratic curve is basically solved in plane analytical geometry.

6. The paper transforms the basic parameter of central line summary model into the derived parameter in connection with mileage on the basis of analytical geometry.

7. According to basic principles of polar stereographic projection, a formula calculation method is introduced in this paper by using spatial analytical geometry knowledge.

8. This thesis has come up with an elaborate mathematical model which is derived, by adopting the principles of analytical geometry, from the intersecting line of two intersecting round tubes.

9. A new graphical method based on the tangential obliquity criterion is proposed by using fundamentals of analytical geometry for distinguishing the stability of mechatronic transmission system.