TY - JOUR

T1 - A survey of geometrical diagrams in korean mathematical texts from the 17th to the 19th Century

AU - Ying, Jia Ming

PY - 2013/7

Y1 - 2013/7

N2 - In this paper, geometrical diagrams in Korean mathematical texts from the 17th to the 19th century are collected, analyzed, and compared with those in certain Chinese sources. Several groups of commonly drawn diagrams are represented. Two special features - using the color black to show the "void" or the redundant parts in a diagram and using parallel lines to represent "depth" - are discussed. From the diagrams and special features, it can be seen that diagrams in Korean texts are typically used in three ways: to show manipulations of instruments in the process of problem solving, to explain procedures or algebraic identities, and simply to represent two- or three-dimensional geometrical objects. The last way is different from the ways in which most diagrams are used in Chinese texts.

AB - In this paper, geometrical diagrams in Korean mathematical texts from the 17th to the 19th century are collected, analyzed, and compared with those in certain Chinese sources. Several groups of commonly drawn diagrams are represented. Two special features - using the color black to show the "void" or the redundant parts in a diagram and using parallel lines to represent "depth" - are discussed. From the diagrams and special features, it can be seen that diagrams in Korean texts are typically used in three ways: to show manipulations of instruments in the process of problem solving, to explain procedures or algebraic identities, and simply to represent two- or three-dimensional geometrical objects. The last way is different from the ways in which most diagrams are used in Chinese texts.

KW - Geometrical diagrams

KW - Korean mathematics

KW - Representation of three-dimensional objects

KW - Use of colors in diagrams

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UR - http://www.scopus.com/inward/citedby.url?scp=84886602628&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84886602628

SN - 0285-4821

VL - 23

SP - 38

EP - 58

JO - Historia Scientiarum

JF - Historia Scientiarum

IS - 1

ER -