PinnedBekhruz NiyazovinIntuitionAnother “Radical” Geometry Problem from IMOThis problem was offered to the participants of the 1995 International Mathematical Olympiad. For those who don’t know, the International…Jan 10Jan 10
Bekhruz NiyazovinIntuitionHow Do You Find the Red Angle?The following problem is quite fun; as far as I know, it can’t be solved with trivial angle chasing. Meanwhile, it also helps to better…Jun 17Jun 17
Bekhruz NiyazovinIntuitionProperties of the Medians Proved Using the Center of MassIn this article, we will discuss famous properties of the medians and prove them using the properties of the center of mass.Apr 6Apr 6
Bekhruz NiyazovinIntuitionWhich Number is Larger?This problem is quite famous, and you might have seen a few special cases before, but in this article, we will solve the generalized…Feb 283Feb 283
Bekhruz NiyazovinIntuitionFermat’s Little TheoremIn this article, we derive the famous Fermat’s Little Theorem.Feb 10Feb 10
Bekhruz NiyazovinIntuitionSolving a Simple Functional EquationThis functional equation looks quite similar to Cachy’s functional equation we discussed earlier, so a natural question arises — can we…Jan 271Jan 271
Bekhruz NiyazovinIntuitionExploring Cauchy’s functional equationIn this article, we solve the famous Cauchy’s functional equation.Jan 211Jan 211
Bekhruz NiyazovinIntuitionA Simple Number Theory ProblemNumber Theory is one of the most important fields of Mathematics. In every Olympiad, you will see at least one Number Theory problem. One…Jan 13Jan 13
Bekhruz NiyazovA Proof of an Interesting InequalityThe following inequality is quite straightforward but it might scare some people because there are so many variables and the given…Jan 8Jan 8
Bekhruz NiyazovinIntuitionA Geometry problem solved using Radical AxesThe following problem is a nice application of the use of the properties of radical axes.Jan 8Jan 8
