Mathematical Bunker

Mathematical Bunker

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    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

    23 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

    23 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

    16 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

    29 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

    43 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

    34 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

    18 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
    The angles between sides of triangle and altitude and circumcenter | plane geometry | intermediate
    9:36

    The angles between sides of triangle and altitude and circumcenter | plane geometry | intermediate

    33 views
    Tangential quadrilaterals, the sums of opposite sides, Pitot's theorem | plane geometry | elementary
    15:31

    Tangential quadrilaterals, the sums of opposite sides, Pitot's theorem | plane geometry | elementary

    35 views
    The two tangents to a circle from a point are equal to each other | plane geometry | elementary lev.
    6:23

    The two tangents to a circle from a point are equal to each other | plane geometry | elementary lev.

    54 views
    A median in a right triangle | plane geometry | elementary level
    11:32

    A median in a right triangle | plane geometry | elementary level

    4 views
    Proper colorings and the chromatic number of graphs | graph theory | elementary level
    13:37

    Proper colorings and the chromatic number of graphs | graph theory | elementary level

    29 views
    Cyclic quadrilaterals (= inscribed quadrilaterals) | plane geometry | elementary level
    28:31

    Cyclic quadrilaterals (= inscribed quadrilaterals) | plane geometry | elementary level

    14 views
    A tangent to a circle is perpendicular to the radius at the tangency point
    9:50

    A tangent to a circle is perpendicular to the radius at the tangency point

    23 views 1 comment
    The angle intersecting a circle with the vertex inside the circle
    6:22

    The angle intersecting a circle with the vertex inside the circle

    11 views
    The angle intersecting a circle with the vertex outside of the circle
    8:10

    The angle intersecting a circle with the vertex outside of the circle

    10 views