Imperial Collection of Mathematical Essentials, Vol. 4

Masters Section

original: "Zibu" (子部). One of the four main categories of the imperial library, containing technical, scientific, and philosophical works.

Imperially Produced Essence of Mathematical Sciences: Tables, Volume 5, Part 4

original: "Yuzhi Shuli Jingyun Biao" (御製數理精蘊表). This work, titled the "Essence of Mathematical Sciences," was the most comprehensive mathematical text of the early Qing Dynasty, integrating traditional Chinese mathematics with Western techniques introduced by Jesuit missionaries. The term "Tables" (Biao) refers to the inclusion of logarithmic or trigonometric tables often found in these volumes.

Detailed Proofreading Official and Secretary, your servant Chen Mu.
original: "Xiangjiao Guan Zhushi Chen Chen Mu" (詳校官主事臣陳木). The title "Secretary" (Zhushi) refers to a mid-level administrative position within the central government bureaus. "Your servant" (Chen) is a humble prefix required of any official when their name appears in a document intended for or commissioned by the Emperor.

At the bottom center, there is a partial decorative semi-circular border containing the character "Mountain" (Shan), which functions as a "banxin" or "plate heart"—a mark used by woodblock printers to ensure correct alignment and folding of the page.