How did Mei Juecheng use Western algebra to interpret older Chinese mathematical texts?

By the 17th century, the sophisticated algebraic methods developed during the Song and Yuan dynasties—specifically the "method of the celestial unknown"—had been largely forgotten in China.1

In the 18th century, the mathematician Mei Juecheng utilized his knowledge of Western algebra to decipher these ancient mathematical treatises. By applying the conceptual framework of Western algebra to these lost traditional methods, he was able to interpret and reconstruct the procedures that had fallen into oblivion.21

This achievement was significant for several reasons:
* Revival of Tradition: It triggered a renewed search for ancient Chinese mathematical sources and encouraged efforts to revive research using traditional methods.1
* Historical Synthesis: Mei used these findings to argue for a theory of the Chinese origin of Western knowledge. While modern historians acknowledge this view as overstated, it was highly influential at the time and helped restore interest in the history of Chinese mathematics.2
* Philological Impact: His work contributed to a broader movement of editing and preserving rediscovered texts, which remain essential sources for the study of East Asian mathematics today.3