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  1. Logarithmic derivative | mathematical analysis | advanced level

    Logarithmic derivative | mathematical analysis | advanced level

    16
    1
  2. Brocard points of a triangle | plane geometry | intermediate level

    Brocard points of a triangle | plane geometry | intermediate level

    4
    1
  3. The second Fermat-Torricelli point of a triangle | plane geometry | intermediate level

    The second Fermat-Torricelli point of a triangle | plane geometry | intermediate level

    17
  4. Deriving Menelaus's theorem from Ceva's theorem | plane geometry | intermediate level

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

    34
  6. 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

    34
    2
  8. The sum of angles of a triangle | plane geometry | elementary level

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

    42
    1
  9. Extending the arithmetic derivative to negative numbers | number theory | advanced level

    Extending the arithmetic derivative to negative numbers | number theory | advanced level

    25
    1
  10. The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level

    The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level

    18
  11. The set of integer numbers is countable | set theory | elementary level

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

    8
  12. Arithmetic logarithmic derivative | number theory | advanced level

    Arithmetic logarithmic derivative | number theory | advanced level

    17
  14. A median in a right triangle | plane geometry | elementary level

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

    4
  15. The nine-point circle and the Euler line | plane geometry | advanced level

    The nine-point circle and the Euler line | plane geometry | advanced level

    16
  16. The set of rational numbers is countable | set theory | elementary level

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

    5
  18. The sum of angles of a polygon | plane geometry | intermediate level

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

    11
  19. Lagrange's mean value theorem | mathematical analysis | elementary level

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

    14
  20. Arithmetic derivative: an introduction | number theory | advanced level

    Arithmetic derivative: an introduction | number theory | advanced level

    13
  21. The sum of angles of a 5-pointed star | plane geometry | intermediate level

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

    26
  22. The circumcenter of a triangle | plane geometry | elementary level

    The circumcenter of a triangle | plane geometry | elementary level

    29
  23. The Gergonne point of a triangle | plane geometry | intermediate level

    The Gergonne point of a triangle | plane geometry | intermediate level

    19
  24. The Lemoine point of a triangle | plane geometry | advanced level

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

    17
  25. The centroid of a triangle | plane geometry | elementary level

    The centroid of a triangle | plane geometry | elementary level

    25