• Journal for History of Mathematics
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• v.18 no.3
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• pp.1-24
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• 2005

Although indeterminate equations were dealt in Jiu zhang suan shu and then in Sun zi suan fing and Zhang Giu Jian suan Jing in China, they did not get any substantial development until Qin Jiu Shao introduced da yan shu in his great book Shu shu jiu zhang which solves goneral systems of linear congruences. We first investigate his da yan shu and then study the history of indeterminate equations in Chosun Dynasty. Further, we compare Qin's da yan shu with that in San Hak Jung Eui written by Chosun mathematician Nam Byung Gil.

• (The)Study of the Eastern Classic
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• no.49
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• pp.357-392
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• 2012

An author is bound to reflect his or her own thinking and inclination in his or her works. The previous studies on Changam(蒼巖), however, mostly discussed the aesthetics in the forms of his introductions and works, hardly addressing his thinking reflected in his works. Recognizing that he had the "reactionism tendency" unlike the Bukhak-School(北學派), which was the cultural mainstream of the days, this study examined the specific patterns of the reactionism calligraphy style in his learning and calligraphy processes and works. He loved to write xing-cao-shu(行草書) with a focus on the materials written in one's own calligraphy, but he also emphasized that one should obtain the force of his or her calligraphy style by mastering kai shu before calligraphy xing cao shu. He thus left a lot of works in the xiao kai(小楷) of the Wang Xzhi(王羲之) calligraphy style throughout his life, which is attributed to the influences of the calligraphers of dong-guk-jin-che(東國眞體) in the latter half of Joseon(朝鮮) and those of Lee Gwang-sa(李匡師), his master in spirit. He is distinguished from the other calligraphers of the times in that he made lifelong efforts to compensate for the lacking stroke of the pen in the model calligraphy of Wang Xzhi. In the calligraphy theory, he put importance on the traditional method of Han-Wei(漢魏) and took Cai Yong(蔡邕) and Zhong Yao(鍾繇) as the fundamentals. For da kai(大楷), he constantly practiced the with the stroke of the pen by added to it, the letters of Wei(魏) Wudi(武帝), by Yan Zhenqing(顔眞卿), and letters of Kim Saeng(金生). His late works using the intended conception of and , in particular, present his unique calligraphy style that added the crooked forms of to the shapes of characters of that were in the kai-shu(楷書) style. It is a limitation that a considerable number of calligraphy materials Changam studied or consulted were either reprint copy or block book rather than original rubbing edition due to time and space restrictions. However, it is also true that those restrictions made an important contribution to his creation of his unique calligraphy style with deep local colors at the result of his constant efforts.