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I assume the translation in question is The Nine Chapters on the Mathematical Art, which was indeed translated into French by Guo Shuchun and published in 2005.
In fact, the first full English translation of The Nine Chapters on the Mathematical Art wasn't published in English until 1999, although abridged translations were published much earlier.
The earliest abridged translation that I've been able to locate is Arithmetic in Nine Sections by the Swiss-American mathematical historian, Florian Cajori, which was published in 1893. The (very) abridged material appears as a chapter in his History of Mathematics.
(A more recent abridged translation was presented in Jiu zhang suanshu (nine chapters on the mathematical art): An overview by Lam Lay Yong, published in 1994.)
If you are researching Liu Hui, there is a fascinating paper titled Liu Hui and the First Golden Age of Chinese Mathematics, by Philip D. Straffin, Jr. which was published in Mathematics Magazine in 1998 (Vol. 71, No. 3. (June 1998), pp 163-181) which might be of interest to you.