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  1. 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

    20
  3. Deriving Ceva's theorem from Menelaus's theorem | plane geometry | intermediate level

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

    15
  4. The Bevan point of a triangle | plane geometry | intermediate level

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

    31
  5. 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

    29
  6. Brocard points of a triangle | plane geometry | intermediate level

    Brocard points of a triangle | plane geometry | intermediate level

    4
    1
  8. 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
  9. 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
  13. 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
  14. Pascal's formula about binomial coefficients | general mathematics | intermediate level

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

    38
    1
  15. 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

    19
  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. Van Aubel's theorem about cevians | plane geometry | intermediate level

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

    31
    2
  20. Reflections of line passing through orthocenter of triangle | plane geometry | intermediate level

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

    38
    1
  22. The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate

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

    14
  23. Inverse Pythagorean theorem | plane geometry | intermediate level

    Inverse Pythagorean theorem | plane geometry | intermediate level

    11
    1