A Study Of Ouluoba Xijinglu

"Europa Xijinglu" is an arithmetic book which we don’t know its writer and Mei Wending notes it.The book includes four arithmetic,test,square root,extraction of cubic root and high-order square problem,golden rule and double false and other mathematical problems and calculation methods.In this paper,the contents of "Europa Xijinglu " are explained,and compared with the contemporary mathematical books such as "Tong wen Suan Zhi","Tai xi Jiu Yao" and so on.Moreover,the paper attends to inspect its value in the history of Chinese and Western mathematical communication.First,the author of "Europa Xijinglu" is not an excerpt of Western algorithmic compilation,but master all of them through the understanding of Chinese and Western mathematics.Second,it is more similar to the modern written calculation in terms of multiplication and division and square root,compared with the contemporary works such as "Tong Wen Suan Zhi" and "Tai xi Suan Yao".The author extends the problem of highorder square problem to 10 power.In addition to the fractional positioning problem the author make the “root” to help calculation.The method draw lessons from the traditional abacus,which also affected later Mei Wending on positioning problem.Thirdly,the golden rule integrates the rule of three method with the proportion method in "Tong Wen Suan Zhi".The golden rule and double false is similar with the method of “jiexiang”,which is the assumption on transferring.Fourthly,through the contents of the note of "XijingLu","Shao Guang Shi Yi" and "Written Calculation" of Mei Wending in 1692 and 1693,we can find that its influence on Mei Wending concentrated on the expansion of square root table,the expansion of first quotient table and position problems.