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Common Theorems in Mathematical Competition
1. Menelaus theorem

2. Seva theorem

3. Ptolemy theorem

4. siemsen theorem

5. Stewart Theorem

6. Cross ratio theorem

7. Apolloni Circle

8. Nine o'clock circle

9. Euler line

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1 1. Newton line

12. This has no name: if three circles intersect and the center of the circle is not a * * * line, then the straight line where the three male * * * chords are located is the * * * point (intersection point).

13. Cauchy inequality

14. Vector inequality

. . . Why don't you go to the encyclopedia? You can't remember that much. .