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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. Thomson problem - Wikipedia

    en.wikipedia.org/wiki/Thomson_problem

    For N = 3, electrons reside at the vertices of an equilateral triangle about any great circle. [3] The great circle is often considered to define an equator about the sphere and the two points perpendicular to the plane are often considered poles to aid in discussions about the electrostatic configurations of many-N electron solutions. Also ...

  4. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    [21] [5] Similarly, if the three utilities puzzle is presented on a sheet of a transparent material, it may be solved after twisting and gluing the sheet to form a Möbius strip. [ 22 ] Another way of changing the rules of the puzzle that would make it solvable, suggested by Henry Dudeney , is to allow utility lines to pass through other houses ...

  5. Pappus's hexagon theorem - Wikipedia

    en.wikipedia.org/wiki/Pappus's_hexagon_theorem

    The Pappus configuration is the configuration of 9 lines and 9 points that occurs in Pappus's theorem, with each line meeting 3 of the points and each point meeting 3 lines. In general, the Pappus line does not pass through the point of intersection of A B C {\displaystyle ABC} and a b c {\displaystyle abc} . [ 3 ]

  6. Kuratowski's theorem - Wikipedia

    en.wikipedia.org/wiki/Kuratowski's_theorem

    Kuratowski's theorem states that a finite graph is planar if it is not possible to subdivide the edges of or ,, and then possibly add additional edges and vertices, to form a graph isomorphic to . Equivalently, a finite graph is planar if and only if it does not contain a subgraph that is homeomorphic to K 5 {\displaystyle K_{5}} or K 3 , 3 ...

  7. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    In 1999, a theorem due to Haga provided constructions used to divide the side of a square into rational fractions. [ 19 ] [ 20 ] In late 2001 and early 2002, Britney Gallivan proved the minimum length of paper necessary to fold it in half a certain number of times and folded a 4,000-foot-long (1,200 m) piece of toilet paper twelve times.

  8. Theorem of three moments - Wikipedia

    en.wikipedia.org/wiki/Theorem_of_three_moments

    Figure03-Mohr's Second Theorem The three moment equation expresses the relation between bending moments at three successive supports of a continuous beam, subject to a loading on a two adjacent span with or without settlement of the supports.

  9. Wikipedia : Featured picture candidates/Pythagorean theorem

    en.wikipedia.org/wiki/Wikipedia:Featured_picture...

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