Geometry of Algebra

Geometry of Algebra

It is interesting to represent Algebraic Identities using Geometric objects. One easy example is presented in this video. Think! Try to draw the following algebraic identities using geometric objects \(a^2 – b^2 = (a+b)(a-b) \) \( (a+b)^3 = a^3 + 3a^2 b + 3 ab^2...
Injection Principle – Combinatorics

Injection Principle – Combinatorics

The central goal of Combinatorics is to count things. Usually, there is a set of stuff that you would want to count. It could be number of permutations, number of seating arrangements, number of primes from 1 to 1 million and so on. Counting number of elements in a...
Orthocenter and equal circles

Orthocenter and equal circles

Orthocenter (or the intersection point of altitudes) has an interesting construction. Take three equal circles, and make them pass through one point H. Their other point of intersection creates a triangle ABC. Turns out, H is the orthocenter of ABC. In this process,...

Geometry of Motion: Open Seminar

Curving the infinity! Imagine squashing the infinite inside small circular disc! Lines bending or sliding to make room for the ‘outside territory’ inside.  In the upcoming open slate Cheenta Seminar, we tackle this exciting problem from Geometry. Admission...
Adventures in Geometry 1

Adventures in Geometry 1

Teacher: Stationary objects such as triangles, points or circles are not that interesting in their own right. Instead, we will explore motion. Fix a point O on a piece of paper. Pick any point A. Draw an arrow from O to A. Now begin pushing the arrow OA (keeping A...