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MacMahon Master theorem (enumerative combinatorics) Maharam's theorem (measure theory) Mahler's compactness theorem (geometry of numbers) Mahler's theorem (p-adic analysis) Maier's theorem (analytic number theory) Malgrange preparation theorem (singularity theory) Malgrange–Ehrenpreis theorem (differential equations)
Casey's theorem and its converse can be used to prove a variety of statements in Euclidean geometry. For example, the shortest known proof [ 1 ] : 411 of Feuerbach's theorem uses the converse theorem.
In complex geometry, the conjecture states that for a positive holomorphic line bundle L on a compact complex manifold M, the line bundle K M ⊗ L ⊗m (where K M is a canonical line bundle of M) is spanned by sections when m ≥ n + 1 ; very ample when m ≥ n + 2, where n is the complex dimension of M.
Absolute geometry is a geometry based on an axiom system consisting of all the axioms giving Euclidean geometry except for the parallel postulate or any of its alternatives. [69] The term was introduced by János Bolyai in 1832. [70] It is sometimes referred to as neutral geometry, [71] as it is neutral with respect to the parallel postulate.
In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid 's Elements . [ 1 ]
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Routh's theorem. In geometry, Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the pairwise intersections of three cevians.The theorem states that if in triangle points , , and lie on segments , , and , then writing =, =, and =, the signed area of the triangle formed by the cevians , , and is
(The Center Square) – Efforts to push back retirement of the F-15E Strike Eagles and save more than 500 jobs at a U.S. Air Force base in North Carolina could be ready for the president's ...