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  2. Thomsen's theorem - Wikipedia

    en.wikipedia.org/wiki/Thomsen's_theorem

    Thomsen's theorem, named after Gerhard Thomsen, is a theorem in elementary geometry. It shows that a certain path constructed by line segments being parallel to the edges of a triangle always ends up at its starting point.

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Folk theorem (game theory) Fundamental theorem of arbitrage-free pricing (financial mathematics) Fundamental theorems of welfare economics ; Gibbard–Satterthwaite theorem (voting methods) Heckscher–Ohlin theorem ; Holmström's theorem ; Kuhn's theorem (game theory) Lerner symmetry theorem ; May's theorem (game theory)

  4. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    [8] As well as in the three utilities problem, the graph K 3 , 3 {\displaystyle K_{3,3}} appears in late 19th-century and early 20th-century publications both in early studies of structural rigidity [ 9 ] [ 10 ] and in chemical graph theory , where Julius Thomsen proposed it in 1886 for the then-uncertain structure of benzene . [ 11 ]

  5. Quizlet - Wikipedia

    en.wikipedia.org/wiki/Quizlet

    Quizlet's primary products include digital flash cards, matching games, practice electronic assessments, and live quizzes. In 2017, 1 in 2 high school students used Quizlet. [ 4 ] As of December 2021, Quizlet has over 500 million user-generated flashcard sets and more than 60 million active users.

  6. Triangle inequality - Wikipedia

    en.wikipedia.org/wiki/Triangle_inequality

    The converse of the triangle inequality theorem is also true: if three real numbers are such that each is less than the sum of the others, then there exists a triangle with these numbers as its side lengths and with positive area; and if one number equals the sum of the other two, there exists a degenerate triangle (that is, with zero area ...

  7. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

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