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Yes, there is also a simple derivation in Boys's classic book, "Soap Bubbles: Their Colors and Forces Which Mold Them", p. 136. [1, 2]

[1] pdf link (it is out of copyright): http://www.arvindguptatoys.com/arvindgupta/soap-bubbles-boys...

[2] google books link (free preview), go to the very last page for the color plate



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