Ancient Science of China中国古代科学
← Catalogue
Jigu Suanjing缉古算经
TangMathematicsComplete格物

缉古算经

Jigu Suanjing

The Continuation of Ancient Mathematics (c. 626 CE) by Wang Xiaotong is the first Chinese text to systematically solve cubic equations arising from geometric problems. Its 20 problems involve civil en…

About This Work

The Continuation of Ancient Mathematics (c. 626 CE) by Wang Xiaotong is the first Chinese text to systematically solve cubic equations arising from geometric problems. Its 20 problems involve civil engineering applications requiring cubic equation solutions, using geometric decomposition to reduce problems to standard forms—the most advanced algebraic work of its era globally.

Contents · 内容

Problem 1-2: Canal and River Excavation Volumes第一至二问 开河 穿渠
Problem 3: Construction of an Embankment第三问 筑堤
Problem 4-6: Granary Construction第四至六问 筑仓廪
Problem 7-11: Digging of Ponds and Pits第七至十一问 穿池 开窖
Problem 12-14: Earthwork for City Walls第十二至十四问 筑城
Problem 15-17: Canal Lock Gates第十五至十七问 造闸
Problem 18-20: Spherical Segment (Astronomical Cap) Volume第十八至二十问 羡除 球冠体积

Why This Matters

This text is part of the living archive of Chinese intellectual achievement — a tradition that produced systematic astronomical observation, mathematical innovation, medical frameworks still in clinical use, and engineering at continental scale, centuries before comparable developments in Europe.

The question "did ancient China have science?" misunderstands what science is. Science is not a single cultural tradition — it is the systematic observation of nature, the rigorous documentation of phenomena, the testing of ideas against evidence, and the building of knowledge across generations. By every one of these measures, the works in this catalogue are scientific. They used different conceptual frameworks — correlative rather than mechanistic, systemic rather than reductionist — but these frameworks produced real knowledge: accurate star catalogues, effective medical treatments, precise calendar computations, and technologies that transformed civilization.