geomgeomgeom.wordpress.com
Today we shall look at a class of sequences with a rich and deep history beginning from their earliest appearance in a problem that appeared in the Ladies' Diary, which have numerous applications in number theory and combinatorics, and are lately making an appearance in math Olympiad problems. The Farey sequence of order $latex n$, denoted $latex \mathcal{F}_n$ is… Continue reading Farey Sequences
This article will explore a relatively new configuration which I have talked about extensively in my handout Neat Config which was crafted from a series of notes made by Om Kutte for lectures conducted by him at the (Unofficial) Indian National Mathematical Olympiad Training Camp. This is the master diagram. All the point definitions (and… Continue reading Miquel Point of the Angle Bisectors
In this post we will have a look at three really common triangle length conditions. They look almost the same but their slightly different definitions invoke highly contrasting configurations. After introducing each condition, and looking at how it can be interpreted, we solve (at least partially) some contest problems involving those conditions. 1. Equal Lengths… Continue reading Some Length Conditions on a Triangle
Angular Momentum 