Alexandrov–Fenchel inequality Aristarchus's inequality Barrow's inequality Berger–Kazdan comparison theorem Blaschke–Santaló inequality Bishop–Gromov inequality Bogomolov–Miyaoka–Yau inequality Bonnesen's inequality Brascamp–Lieb inequality Brunn–Minkowski inequality Castelnuovo–Severi inequality Cheng's eigenvalue comparison theorem Clifford's theorem on special divisors Cohn-Vossen's inequality Erdős–Mordell inequality Euler's theorem in geometry Gromov's inequality for complex projective space Gromov's systolic inequality for essential manifolds Hadamard's inequality Hadwiger–Finsler inequality Hinge theorem Hitchin–Thorpe inequality Isoperimetric inequality Jordan's inequality Jung's theorem Loewner's torus inequality Łojasiewicz inequality Loomis–Whitney inequality Melchior's inequality Milman's reverse Brunn–Minkowski inequality Minkowski's first inequality for convex bodies Myers's theorem Noether inequality Ono's inequality Pedoe's inequality Ptolemy's inequality Pu's inequality Riemannian Penrose inequality Toponogov's theorem Triangle inequality Weitzenböck's inequality Wirtinger inequality (2-forms)