After some googling, I couldn't find an English translation, but I found (cf Chapter 38
of "Landmark writings in Western mathematics 1640-1940" (eds. Grattan-Guinness, Cook)) a
reference to a French translation:
Bulletin des sciences math'ematiques, (1) 5 (1873), 20-48, 79-96
Reprinted in Riemann's Oeuvres math'ematiques (ed. Laugel), Paris: Gauthier-Villars, 1898, 227-279.
(Also that chapter 38 I mentioned seems to have a detailed explanation, in English, of the contents of the paper.)
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