Point Line Distance Formula (visual proof)
This is a short, animated visual proof showing how to find the formula for the shortest distance between a given line and fixed point. Instead of using coordinate geometry, we are able to make use of similar triangles to provide this result. #math #geometry #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #triangles #similartriangles #point #line #slope #distance #mathshorts #mathvideo
This animation is based on a visual proof from R.L. Eisenman from the Jan-Feb 1969 Mathematics Magazine (https://www.jstor.org/stable/2688040)
To learn more about animating with manim, check out:
https://manim.community
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Music in this video:
Percolate from Loopop