# Arithmetic Mean, Geometric Mean, Root Mean Square and Harmonic Mean for Two Numbers

Each of the four lengths of the line segments drawn in the semicircle is the measure of a mean of and :
• arithmetic mean (AM, cyan)
• geometric mean (GM, red)
• root mean square (RMS, yellow)
• harmonic mean (HM, purple).
The two numbers (green) and (blue) sum to the diameter of the circle and are represented on the horizontal base of the semicircle.
Lines that appear to meet at right angles actually do so.
It is always true that .

### PERMANENT CITATION

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• The Arithmetic-Geometric Mean Inequality (III)Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
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• Graphical Solution of a Quadratic Equation Using the Arithmetic and Geometric MeanIzidor Hafner and Marko Razpet
• Mean-Reverting Random WalksJason Cawley