^^Medie pitagoriche.

Rappresentazione geometrica di medie

media di 'a' e 'b'

media armonica: il reciproco della media dei reciproci

dimA: A e' raggio del cerchio di diametro a+b

dimG: G² = a*b   teo di Euclide tri rtg

dimH: G² = HA  H=G²/A  = ab/((a+b)/2)

dimQ: (a+b)/2-b  = (a-b)/2

Q² = ((a+b)/2)² + ((a-b)/2)²  =  ( (a+b)² + (a-b)² )/4  = (a²+b²)/2

The classical Pythagorean means are 3:

the arithmetic mean

the geometric mean

the harmonic mean.

These means were studied with proportions by Pythagoreans and later generations of Greek mathematicians because of their importance in geometry and music.  wp

wp/Arithmetic-geometric_mean

1. johndcook/arithmetic-geometric-mean
   1. the-magic-agm-box
   2. computing-logs-with-the-agm
   3. hakmem-agm-and-pi

Talk

A= aritmetica
G= geometrica

H= armonica

Q= quadratica ( Root mean square)