Mathematical Bunker

Mathematical Bunker

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    Lagrange's mean value theorem | mathematical analysis | elementary level
    14:46

    Lagrange's mean value theorem | mathematical analysis | elementary level

     14  views
    Darboux's theorem | mathematical analysis | intermediate level
    27:27

    Darboux's theorem | mathematical analysis | intermediate level

     2  views
    Rolle's theorem | mathematical analysis | elementary level
    17:31

    Rolle's theorem | mathematical analysis | elementary level

     21  views
    Fermat's theorem (stationary point theorem, interior extremum theorem) | math analysis | elementary
    19:49

    Fermat's theorem (stationary point theorem, interior extremum theorem) | math analysis | elementary

     14  views
    Blanchet's theorem | plane geometry | intermediate level
    25:09

    Blanchet's theorem | plane geometry | intermediate level

     8  views
    The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate
    19:28

    The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate

     16  views
    The tangential quadrilateral formed by centers of 4 tangent circles | plane geometry | intermediate
    9:54

    The tangential quadrilateral formed by centers of 4 tangent circles | plane geometry | intermediate

     11  views
    Segments at equal angles from the opposite sides of a cyclic quadrilateral | geometry | intermediate
    10:01

    Segments at equal angles from the opposite sides of a cyclic quadrilateral | geometry | intermediate

     26  views
    Upper bound on chromatic number of graph in terms of number of edges | graph theory | elementary
    7:58

    Upper bound on chromatic number of graph in terms of number of edges | graph theory | elementary

     28  views
    Bisectors of angles between opposite sides of a cyclic quadrilateral | plane geometry | intermediate
    18:36

    Bisectors of angles between opposite sides of a cyclic quadrilateral | plane geometry | intermediate

     25  views
    Segments connecting midpoints of opposite arcs of circumcircle of quadril. | geometry | intermediate
    8:03

    Segments connecting midpoints of opposite arcs of circumcircle of quadril. | geometry | intermediate

     25  views
    The sum of angles of a 5-pointed star | plane geometry | intermediate level
    10:21

    The sum of angles of a 5-pointed star | plane geometry | intermediate level

     26  views
    The sum of angles of a polygon | plane geometry | intermediate level
    12:02

    The sum of angles of a polygon | plane geometry | intermediate level

     11  views
    The sum of angles of a triangle | plane geometry | elementary level
    4:13

    The sum of angles of a triangle | plane geometry | elementary level

     42  views 1 comment
    Segments connecting midpoints of opposite sides of a quadrilateral | plane geometry | intermediate
    15:01

    Segments connecting midpoints of opposite sides of a quadrilateral | plane geometry | intermediate

     18  views
    Parallelogram formed by midpoints of sides of a quadrilateral | plane geometry | intermediate level
    8:16

    Parallelogram formed by midpoints of sides of a quadrilateral | plane geometry | intermediate level

     33  views
    Tangent lengths to the incircle and the excircle | plane geometry | intermediate level
    17:24

    Tangent lengths to the incircle and the excircle | plane geometry | intermediate level

     46  views
    Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate
    9:32

    Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate

     40  views
    The cyclic quadrilateral formed by the external bisectors of a quadr. | geometry | intermediate
    15:00

    The cyclic quadrilateral formed by the external bisectors of a quadr. | geometry | intermediate

     33  views
    The cyclic quadrilateral formed by the bisectors of a quadrilateral | plane geometry | intermediate
    9:35

    The cyclic quadrilateral formed by the bisectors of a quadrilateral | plane geometry | intermediate

     15  views
    The set of rational numbers is countable | set theory | elementary level
    6:35

    The set of rational numbers is countable | set theory | elementary level

     5  views
    The set of integer numbers is countable | set theory | elementary level
    4:19

    The set of integer numbers is countable | set theory | elementary level

     8  views
    A theorem about two circles intersecting on the sides of a triangle | plane geometry | intermediate
    14:14

    A theorem about two circles intersecting on the sides of a triangle | plane geometry | intermediate

     13  views 1 comment
    Miquel's theorem | plane geometry | intermediate level
    17:08

    Miquel's theorem | plane geometry | intermediate level

     22  views
    Fractional colorings and the fractional chromatic number of graphs | graph theory | advanced level
    38:10

    Fractional colorings and the fractional chromatic number of graphs | graph theory | advanced level

     24  views