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  2. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Fraňková–Helly selection theorem (mathematical analysis) Fredholm's theorem (linear algebra) Freidlin–Wentzell theorem (stochastic processes) Freiman's theorem (number theory) Freudenthal suspension theorem (homotopy theory) Freyd's adjoint functor theorem (category theory) Friedberg–Muchnik theorem (mathematical logic) Friendship ...

  3. Pick's theorem - Wikipedia

    en.wikipedia.org/wiki/Pick's_theorem

    Pick's theorem was included in a 1999 web listing of the "top 100 mathematical theorems", which later became used by Freek Wiedijk as a benchmark set to test the power of different proof assistants. As of 2024, Pick's theorem had been formalized and proven in only two of the ten proof assistants recorded by Wiedijk. [17]

  4. Category:Theorems in geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_geometry

    Alemannisch; العربية; বাংলা; Беларуская (тарашкевіца) Català; Чӑвашла; Čeština; Deutsch; Ελληνικά; Español

  5. 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

  6. Desargues's theorem - Wikipedia

    en.wikipedia.org/wiki/Desargues's_theorem

    Desargues's theorem is true for any projective space of dimension at least 3, and more generally for any projective space that can be embedded in a space of dimension at least 3. Desargues's theorem can be stated as follows: If lines Aa, Bb and Cc are concurrent (meet at a point), then the points AB ∩ ab, AC ∩ ac and BC ∩ bc are collinear.

  7. Saccheri–Legendre theorem - Wikipedia

    en.wikipedia.org/wiki/Saccheri–Legendre_theorem

    In absolute geometry, the Saccheri–Legendre theorem states that the sum of the angles in a triangle is at most 180°. [1] Absolute geometry is the geometry obtained from assuming all the axioms that lead to Euclidean geometry with the exception of the axiom that is equivalent to the parallel postulate of Euclid.

  8. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  9. Marden's theorem - Wikipedia

    en.wikipedia.org/wiki/Marden's_theorem

    Marden's theorem states that the red dots are the foci of the ellipse. In mathematics, Marden's theorem, named after Morris Marden but proved about 100 years earlier by Jörg Siebeck, gives a geometric relationship between the zeroes of a third-degree polynomial with complex coefficients and the zeroes of its derivative.

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