Comment #2 on issue 4470 by [email protected]: freetype.cc: solve algebra puzzle for converting quadratics to cubics
https://code.google.com/p/lilypond/issues/detail?id=4470

Yes, this is a well known formula. I can imagine that someone uses a more complicated approach to avoid the divisions by three for speed reasons, but the old lilypond code doesn't do that, so your simplification is fully justified.

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