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  1. The symmedians and the tangential triangle of a triangle | plane geometry | advanced level

    The symmedians and the tangential triangle of a triangle | plane geometry | advanced level

    92
  2. Vandermonde's identity about binomial coefficients | general mathematics | intermediate level

    Vandermonde's identity about binomial coefficients | general mathematics | intermediate level

    63
  3. The Lemoine point of a triangle | plane geometry | advanced level

    The Lemoine point of a triangle | plane geometry | advanced level

    59
  4. The proof of Napoleon's theorem using rotational homothety | plane geometry | advanced level

    The proof of Napoleon's theorem using rotational homothety | plane geometry | advanced level

    47
    2
  5. Hockey-stick identity | general mathematics | intermediate level

    Hockey-stick identity | general mathematics | intermediate level

    48
  7. The two tangents to a circle from a point are equal to each other | plane geometry | elementary lev.

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

    58
  8. Pascal's formula about binomial coefficients | general mathematics | intermediate level

    Pascal's formula about binomial coefficients | general mathematics | intermediate level

    53
    1
  9. The sum of the squares of binomial coefficients | general mathematics | intermediate level

    The sum of the squares of binomial coefficients | general mathematics | intermediate level

    28
  10. A surprising usage of derivatives to calculate certain sums of binomial coefficients | intermediate

    A surprising usage of derivatives to calculate certain sums of binomial coefficients | intermediate

    42
  11. The Legendre's formula for the p-adic valuation of a factorial | number theory | intermediate level

    The Legendre's formula for the p-adic valuation of a factorial | number theory | intermediate level

    32
  12. Reflections of orthocenter with respect to sides of triangle | plane geometry | intermediate level

    Reflections of orthocenter with respect to sides of triangle | plane geometry | intermediate level

    36
  13. Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate

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

    44
  14. Reflections of line passing through orthocenter of triangle | plane geometry | intermediate level

    Reflections of line passing through orthocenter of triangle | plane geometry | intermediate level

    48
    1
  15. Tangent lengths to the incircle and the excircle | plane geometry | intermediate level

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

    47
  16. The special case of Miquel's theorem when points are collinear | plane geometry | intermediate level

    The special case of Miquel's theorem when points are collinear | plane geometry | intermediate level

    37
  17. The sum of angles of a triangle | plane geometry | elementary level

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

    51
    1
  18. The sum of the binomial coefficients | general mathematics | intermediate level

    The sum of the binomial coefficients | general mathematics | intermediate level

    38
  19. A tangent to a circle is perpendicular to the radius at the tangency point

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

    29
    1
  21. Van Aubel's theorem about cevians | plane geometry | intermediate level

    Van Aubel's theorem about cevians | plane geometry | intermediate level

    38
    2
  22. Deriving Menelaus's theorem from Ceva's theorem | plane geometry | intermediate level

    Deriving Menelaus's theorem from Ceva's theorem | plane geometry | intermediate level

    37
  23. Arithmetic partial derivative | number theory | advanced level

    Arithmetic partial derivative | number theory | advanced level

    2
    0
    24
  24. Why any exponential algorithm can in fact be executed in linear time | comput. complexity | advanced

    Why any exponential algorithm can in fact be executed in linear time | comput. complexity | advanced

    33
    2
  25. Parallelogram formed by midpoints of sides of a quadrilateral | plane geometry | intermediate level

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

    39
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