Circle Inversion: Zero trigonometry required (Part 2) #SoME3

This is the second video in our series on Circle Inversion, a beautiful technique that can be used as an alternative to trigonometry to solve geometric problems. This is a re-uploaded version where I have corrected a small but important error, thanks to one of my viewers for insisting that the video was confusing. Check out the first video at the link below. It's highly recommended to watch this one first, as we derive the formula for inversion and go through a simple problem showing its use. https://www.youtube.com/watch?v=-XA47qOjuec&t=37s I wrote a blog post about the journey I took through Circle Inversion here https://thecalculusofexplanations.com/2023/07/24/a-journey-through-circle-inversion/ This problem originally came from this Art of Problem Solving page, which shows a variety of different solution techniques. https://artofproblemsolving.com/wiki/index.php/2017_AMC_12A_Problems/Problem_16 If you’re interested in iterated circle inversion, check out these amazing fractal generating scripts and animations by **[Claudio Esperança](https://observablehq.com/@esperanc).** https://observablehq.com/@esperanc/circle-inversion-fractals *Möbius Transformations Revealed* is a short video by [Douglas Arnold](http://www.ima.umn.edu/~arnold/) and [Jonathan Rogness](http://www.math.umn.edu/~rogness/) which depicts the beauty of Möbius transformations and shows how moving to a higher dimension reveals their essential unity. It was one of the winners in the [2007 Science and Engineering Visualization Challenge](http://www.nsf.gov/news/news_summ.jsp?cntn_id=110114). https://www-users.cse.umn.edu/~arnold/moebius/ Check out my related blog for more maths musings below https://thecalculusofexplanations.com/ If you'd like to support me making more of this content, consider supporting me on Patreon below https://www.patreon.com/TheCalculusofExplanations