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    National Tsing Hua University Institutional Repository > 清華出版品 > 01 清華學報 > 新27卷第3期 >  語言數對歐洲中古算數的影響—兼論中國除法運算的特性

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/75686

    Title: 語言數對歐洲中古算數的影響—兼論中國除法運算的特性
    Other Titles: Number-Words and the Development of Arithmetic in Medieval Europe: with a Comparison of the ";Method of Division";in China
    Authors: 陳良佐;Liang-tso Chen
    Date: 1997/09
    Publisher: 國立清華大學出版社
    Relation: 清華學報,國立清華大學,1997,new,27,n.3,p257.
    Keywords: 除法
    Abstract: In Europe there were various number-words such as back-counting, over-counting and half-counting. They were expressed in indirect forms that hindered the development of arithmetic skills. The back-counting number-words had some imprints on Roman numerals. The form of Roman numerals is corresponding to the spoken numbers, both were inconvenient for hand calculation: when operating on the counting-board, the indirect-expression form of the number-words and symbolic-words need to be transformed into direct form of expression. The complementary methods used in subtraction, multiplication and division in the medieval Europe were affected by the back-counting number-words. The division method in medieval Europe was therefore complicated and difficult to practice.
    In Chinese language there is no back-counting number-words nor complementary method. The spoken-number and symbol-number in ancient China were the same (correspondingly equivalent), they were expressed in direct form numbers. The methods of multiplication and division in China are operated with the help of the "multiplication-table", this technique was used in ancient time as well as in nowadays. The idea of "division" in ancient China was derived from the measurement of rice-field ares: if you know the area (the number to be divided) and the one-side length of the rectangular (the number used to divide), then the length of another side can be calculated.
    Key Words: number-words, Medieval Europe, Arithmetic, complementary methods, division in ancient China
    URI: http://thjcs.hss.nthu.edu.tw/catalogue_detail.php?id=837
    Appears in Collections:[01 清華學報] 新27卷第3期

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