I've heard ancient greeks were able to solve algebra using geometry.(adsbygoogle = window.adsbygoogle || []).push({});

For example, if you have a line between two points AC (B being right in the middle), can you find a point x so;

AB/AX = AX/AC

if a is length of AB, then AB = a and AC = 2a, so the problem is really about;

a/x = x/a2; 2a^2 = x^2; 2^(1/2)a = x, if a = 1 then x = 2^(1/2).

How could they find the point x ?

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# Ancient greeks algebra

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