where H and G stands for harmonic mean and geometric mean respectively.
where H and A stands for Harmonic mean and Arithmetic mean respectively.
From definitions of harmonic mean and geometric mean, consider
and by double clicking we can edit the z0 to h the harmonic mean, as shown in Figure 8.
Therefore the geometric mean g is always greater than or equal to the harmonic mean h.
From the locus curves he found the equations of the curves and we can see that the arithmetic mean generates a linear locus, the geometric mean generates a parabola and the harmonic mean a hyperbola.