### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 38-58 |

Number of pages | 21 |

Journal | Historia Scientiarum |

Volume | 23 |

Issue number | 1 |

Publication status | Published - Jul 2013 |

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### Keywords

- Geometrical diagrams
- Korean mathematics
- Representation of three-dimensional objects
- Use of colors in diagrams

### ASJC Scopus subject areas

- History and Philosophy of Science

### Cite this

*Historia Scientiarum*,

*23*(1), 38-58.

**A survey of geometrical diagrams in korean mathematical texts from the 17th to the 19th Century.** / Ying, Jia Ming.

Research output: Contribution to journal › Article

*Historia Scientiarum*, vol. 23, no. 1, pp. 38-58.

}

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

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

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

M3 - Article

VL - 23

SP - 38

EP - 58

JO - Historia scientiarum : international journal of the History of Science Society of Japan

JF - Historia scientiarum : international journal of the History of Science Society of Japan

SN - 0285-4821

IS - 1

ER -