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  2. Intercept theorem - Wikipedia

    en.wikipedia.org/wiki/Intercept_theorem

    The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels.

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Noether's theorem (Lie groups, calculus of variations, differential invariants, physics) Noether's second theorem (calculus of variations, physics) Noether's theorem on rationality for surfaces (algebraic surfaces) Non-squeezing theorem (symplectic geometry) Norton's theorem (electrical networks) Novikov's compact leaf theorem

  4. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Cayley's theorem; Clique problem (to do) Compactness theorem (very compact proof) ErdÅ‘s–Ko–Rado theorem; Euler's formula; Euler's four-square identity; Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first ...

  5. Hilbert's twenty-fourth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_twenty-fourth...

    Hilbert's twenty-fourth problem is a mathematical problem that was not published as part of the list of 23 problems (known as Hilbert's problems) but was included in David Hilbert's original notes. The problem asks for a criterion of simplicity in mathematical proofs and the development of a proof theory with the power to prove that a given ...

  6. Proportionality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportionality_(mathematics)

    The variable y is directly proportional to the variable x with proportionality constant ~0.6. The variable y is inversely proportional to the variable x with proportionality constant 1. In mathematics , two sequences of numbers, often experimental data , are proportional or directly proportional if their corresponding elements have a constant ...

  7. Basic proportionality theorem - Wikipedia

    en.wikipedia.org/?title=Basic_proportionality...

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