• Title/Summary/Keyword: Gyeong SeonJing

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Areas in MukSaJibSanBeob and GuIlJib (묵사집산법(默思集算法)과 구일집(九一集)에서의 넓이)

  • Khang, Mee Kyung
    • Journal for History of Mathematics
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    • v.27 no.4
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    • pp.259-269
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    • 2014
  • In China and Joseon, the measurement of the areas of various plane figures is a very important subject for mathematical officials because it is connected directly with tax problems. Most of mathematical texts in China and Joseon contained Chinese character '田', which means a field for farming, in title name for parts that dealt with problems of areas and treated as areas of plane figures. The form of mathematical texts in Joseon is identical with those in China because mathematicians in Joseon referred to texts in China. Gyeong SeonJing and Hong JeongHa also referred to Chinese texts. But they added their interpretations or investigated new methods for the measurement of areas. In this paper, we investigate the history of the measurement of areas in Joseon, which described in two books MukSaJibSanBeob and GuIlJib, with comparing some mathematical texts in China.

Volumes of Solids in Joseon Mathematics (조선(朝鮮) 산학(算學)과 체적(體積))

  • Hong, Sung Sa;Hong, Young Hee;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.27 no.2
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    • pp.101-110
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    • 2014
  • Joseon is mainly an agricultural country and its main source of national revenue is the farmland tax. Since the beginning of the Joseon dynasty, the assessment and taxation of agricultural land became one of the most important subjects in the national administration. Consequently, the measurement of fields, or the area of various plane figures and curved surfaces is a very much important topic for mathematical officials. Consequently Joseon mathematicians were concerned about the volumes of solids more for those of granaries than those of earthworks. The area and volume together with surveying have been main geometrical subjects in Joseon mathematics as well. In this paper we discuss the history of volumes of solids in Joseon mathematics and the influences of Chinese mathematics on the subject.

Haidao Suanjing in Joseon Mathematics (해도산경(海島算經)과 조선(朝鮮) 산학(算學))

  • Hong, Sung Sa;Hong, Young Hee;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.32 no.6
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    • pp.259-270
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    • 2019
  • Haidao Suanjing was introduced into Joseon by discussion in Yang Hui Suanfa (楊輝算法) which was brought into Joseon in the 15th century. As is well known, the basic mathematical structure of Haidao Suanjing is perfectly illustrated in Yang Hui Suanfa. Since the 17th century, Chinese mathematicians understood the haidao problem by the Western mathematics, namely an application of similar triangles. The purpose of our paper is to investigate the history of the haidao problem in the Joseon Dynasty. The Joseon mathematicians mainly conformed to Yang Hui's verifications. As a result of the influx of the Western mathematics of the Qing dynasty for the study of astronomy in the 18th century Joseon, Joseon mathematicians also accepted the Western approach to the problem along with Yang Hui Suanfa.