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Theorems in geometry
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76
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76
1. Geometric inequalities
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Theorems in geometry
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1.1. Triangle inequalities
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Geometric inequalities
1.2. Berger's isoembolic inequality
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Geometric inequalities
1.3. Besicovitch inequality
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Geometric inequalities
1.4. Bishop–Gromov inequality
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Geometric inequalities
1.5. Blaschke–Lebesgue theorem
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Geometric inequalities
1.6. Brascamp–Lieb inequality
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Geometric inequalities
1.7. Gaussian correlation inequality
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Geometric inequalities
1.8. Gromov's systolic inequality for essential manifolds
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Geometric inequalities
1.9. Hitchin–Thorpe inequality
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Geometric inequalities
1.10. Ptolemy's inequality
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Geometric inequalities
1.11. Pu's inequality
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Geometric inequalities
1.12. Pólya–Szegő inequality
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Geometric inequalities
1.13. Ring lemma
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Geometric inequalities
1.14. Symmetrization methods
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Geometric inequalities
1.15. Toponogov's theorem
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Geometric inequalities
2. Theorems about curves
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Theorems in geometry
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2.1. Fenchel's theorem
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Theorems about curves
2.2. Fundamental theorem of curves
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Theorems about curves
2.3. Jordan curve theorem
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Theorems about curves
2.4. Newton's theorem about ovals
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Theorems about curves
2.5. Pestov–Ionin theorem
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Theorems about curves
2.6. Tennis ball theorem
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Theorems about curves
3. Theorems in complex geometry
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Theorems in geometry
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3.1. AF+BG theorem
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Theorems in complex geometry
3.2. Appell–Humbert theorem
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Theorems in complex geometry
3.3. Birkhoff–Grothendieck theorem
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Theorems in complex geometry
3.4. Bogomolov–Sommese vanishing theorem
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Theorems in complex geometry
3.5. Hurwitz's automorphisms theorem
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Theorems in complex geometry
3.6. Kodaira embedding theorem
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Theorems in complex geometry
3.7. Le Potier's vanishing theorem
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Theorems in complex geometry
3.8. Oka coherence theorem
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Theorems in complex geometry
3.9. Torelli theorem
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Theorems in complex geometry
4. Theorems in plane geometry
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Theorems in geometry
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4.1. Theorems about circles
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Theorems in plane geometry
4.2. Theorems about polygons
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Theorems in plane geometry
4.3. Barbier's theorem
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Theorems in plane geometry
4.4. Hjelmslev's theorem
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Theorems in plane geometry
4.5. Holditch's theorem
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Theorems in plane geometry
4.6. Midpoint theorem (conics)
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Theorems in plane geometry
4.7. Mohr–Mascheroni theorem
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Theorems in plane geometry
5. Theorems in projective geometry
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Theorems in geometry
5
5.1. Cayley–Bacharach theorem
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Theorems in projective geometry
5.2. Five points determine a conic
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Theorems in projective geometry
5.3. Hesse's theorem
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Theorems in projective geometry
5.4. Steiner conic
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Theorems in projective geometry
5.5. Veblen–Young theorem
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Theorems in projective geometry
6. 2π theorem
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Theorems in geometry
7. Almgren regularity theorem
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Theorems in geometry
8. Anderson's theorem
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Theorems in geometry
9. Bang's theorem on tetrahedra
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Theorems in geometry
10. Blichfeldt's theorem
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Theorems in geometry
11. Campbell's theorem (geometry)
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Theorems in geometry
12. Castelnuovo's contraction theorem
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Theorems in geometry
13. Castelnuovo–de Franchis theorem
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Theorems in geometry
14. Collage theorem
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Theorems in geometry
15. Double limit theorem
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Theorems in geometry
16. Dévissage
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Theorems in geometry
17. Euler's rotation theorem
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Theorems in geometry
18. Fold-and-cut theorem
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Theorems in geometry
19. Hyperbolization theorem
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Theorems in geometry
20. Jørgensen's inequality
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Theorems in geometry
21. Lexell's theorem
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Theorems in geometry
22. Lickorish–Wallace theorem
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Theorems in geometry
23. Liouville's theorem (conformal mappings)
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Theorems in geometry
24. Non-squeezing theorem
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Theorems in geometry
25. Pappus's centroid theorem
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Theorems in geometry
26. Petersen–Morley theorem
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Theorems in geometry
27. Riemannian Penrose inequality
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Theorems in geometry
28. Skoda–El Mir theorem
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Theorems in geometry
29. Soddy's hexlet
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Theorems in geometry
30. Spherical law of cosines
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Theorems in geometry
31. Theorem of the cube
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Theorems in geometry
32. Thom conjecture
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Theorems in geometry
33. Ultraparallel theorem
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Theorems in geometry
34. Wendel's theorem
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Theorems in geometry
Ancestors
Geometry
Fields of mathematics
Mathematics
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