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  2. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Fulton–Hansen connectedness theorem (algebraic geometry) Fundamental theorem of algebra (complex analysis) Fundamental theorem of arbitrage-free pricing (financial mathematics) Fundamental theorem of arithmetic (number theory) Fundamental theorem of calculus ; Fundamental theorem on homomorphisms (abstract algebra)

  3. Category:Theorems in algebraic geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in...

    Cartan's theorems A and B; Cayley–Bacharach theorem; Chasles–Cayley–Brill formula; Chasles' theorem (geometry) Chevalley–Iwahori–Nagata theorem; Chevalley's structure theorem; Chow's lemma; Chow's moving lemma; Clifford's theorem on special divisors

  4. Category:Theorems in geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_geometry

    Pages in category "Theorems in geometry" The following 48 pages are in this category, out of 48 total. This list may not reflect recent changes. 0–9. 2π theorem; A.

  5. List of lemmas - Wikipedia

    en.wikipedia.org/wiki/List_of_lemmas

    This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms , list of theorems and list of conjectures .

  6. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Computational geometry; Fundamental theorem of algebra; Lambda calculus; Invariance of domain; Minkowski inequality; Nash embedding theorem; Open mapping theorem (functional analysis) Product topology; Riemann integral; Time hierarchy theorem. Deterministic time hierarchy theorem

  7. Theorema Egregium - Wikipedia

    en.wikipedia.org/wiki/Theorema_egregium

    Gauss's Theorema Egregium (Latin for "Remarkable Theorem") is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns the curvature of surfaces.

  8. Carathéodory's theorem (convex hull) - Wikipedia

    en.wikipedia.org/wiki/Carathéodory's_theorem...

    Carathéodory's theorem is a theorem in convex geometry. It states that if a point x {\displaystyle x} lies in the convex hull C o n v ( P ) {\displaystyle \mathrm {Conv} (P)} of a set P ⊂ R d {\displaystyle P\subset \mathbb {R} ^{d}} , then x {\displaystyle x} lies in some d {\displaystyle d} -dimensional simplex with vertices in P ...

  9. Menelaus's theorem - Wikipedia

    en.wikipedia.org/wiki/Menelaus's_theorem

    In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle ABC, and a transversal line that crosses BC, AC, AB at points D, E, F respectively, with D, E, F distinct from A, B, C. A weak version of the theorem states that

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