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After my initial post on this topic , I still felt that there is some more to the problem than what we've explored. I kept returning to ...

It is well known that Viete's infinite product formula for $\pi$ has a lemniscatic analog as showed by Levin in A Geometric Interpretat...

The Birthday Problem and Coupon Collector problem are well known problems in probability that are like duals of each other. While the former...

One the most famous and classic pursuit problem goes like this: A pursuer, initially at point $(0, b)$, is trying to catch a pursuee, initia...

Cycloid, the curve traced by a point on the rim of a circle rolling on a straight line, probably needs no introduction. Amongst its other di...

We know that in a plane triangle, the median is divided by the centroid in the ratio $2:1$. In this post, we address the question of how thi...

It is well known that the Law of sines has a spherical counterpart . But from the Wiki article, we can infer something even better. That is...