by John on (#6QT2N)
I recently ran across a theorem connecting the arithmetic mean, geometric mean, harmonic mean, and the golden ratio. Each of these comes fairly often, and there are elegant connections between them, but I don't recall seeing all four together in one theorem before. Here's the theorem [1]: The arithmetic, geometric, and harmonic means of two [...]The post Arithmetic, Geometry, Harmony, and Gold first appeared on John D. Cook.