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The Problem of Apollonius - JavaScript demo

animation

My YouTube video

GitHub page link

The problem of Apollonius is a relatively challenging geometry problem where, given three circles, the goal is to find a circle tangent to all three. After finding a nice paper by Milorad R. Stevanovic, Predrag B. Petrovic, and Marina M. Stevanovic demonstrating how to solve this problem, I decided to create a GitHub website explaining the problem and solution with an interactive JavaScript/HTML5 canvas app. The radii of the solution circles are computed exactly by solving a quadratic polynomial with the quadratic formula. I experimented with the arbitrary precision library decimal.js by MikeMcl out of curiosity. I recommend using Chrome, Edge, Opera, or Brave instead of Firefox as Firefox does not draw large circles accurately.

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