Imperially Authored Mathematical Essentials: Tables original: 御製數理精蘊表, Yuzhi Shuli Jingyun Biao. Compiled during the reign of the Kangxi Emperor (r. 1661–1722), this work was a definitive encyclopedia that integrated traditional Chinese mathematical knowledge with European methods brought by Jesuit missionaries.

Imperially Commissioned Essential Collection of the Complete Library in Four Sections, Volume 10,877 Masters Division original: 欽定四庫全書薈要, Qinding Siku Quanshu Huiyao. This was a more exclusive, condensed version of the larger Siku Quanshu, intended for the Emperor's personal use. The "Masters Division" (Zibu) categorized works on philosophy, science, and the arts.

Imperially Authored Mathematical Essentials: Tables, Volume 4 of 5

Detailed Clarification of Logarithms, Part 10 original: 對數闡微, Duishu Chanwei. The term 'duishu' (paired numbers) was the early Chinese translation for logarithms. This section specifically addresses the 'subtle details' or 'clarification' of logarithmic principles and their practical application in tables.

Collector's Seal: Xiao Family of Weiyang (original: 維揚蕭氏). This seal, found at the top of the page, indicates that this particular manuscript was once part of the private library of the Xiao family from Yangzhou (historically known as Weiyang), a city famous for its wealthy merchant-scholars.