Heron's formula is a classic taught in basic geometry for finding the area of a triangle from the perimeter. But Heron has a perhaps more impressive result called Heron's method, which is an algorithm for computing square roots. It is a highly effective method and we'll prove it today. #maths #mathematics
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0:00 Intro
1:24 Heron of Alexandria
2:59 Heron's Method
5:41 Intuition
6:46 More Facts
8:10 Proof Outline
10:09 Proof
14:47 Final Step
17:15 Conclusion