• Journal for History of Mathematics
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• v.30 no.2
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• pp.53-69
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• 2017

This paper demonstrates how a nineteenth century Japanese votive temple problem known as sangaku from Okayama prefecture can be solved using traditional mathematical methods of the Japanese Edo (1603-1868 CE). We compare a modern solution to a sangaku problem from Sacred Geometry: Japanese Temple Problems of Tony Rothman and Hidetoshi Fukagawa with a traditional solution of ${\bar{O}}hara$ Toshiaki (?-1828). Our investigation into the solution of ${\bar{O}}hara$ provides an example of traditional Edo period mathematics using the tenzan jutsu symbolic manipulation method, as well as producing new insights regarding the contextual nature of the rules of this technique.

• Journal of Korean Theatre Studies Association
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• no.52
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• pp.189-228
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• 2014

The purpose of this research was to summarize Korea and China's researches on Noh and to examine main domain in this field, by investigating the academic books and articles published in two countries. In 1960s, since Nohgaku has been introduced to China, academic articles on Zeami's theories and aesthetics have emphasized on aesthetic characteristics of Chinese plays and Japanese Nohgaku through the similarities of oriental plays. The number of researches on Kabuki is almost twice as that of researches on Noh in China. While most researches on Kabuki were compared with the styles and music of Pecking Opera and the theatrical theories of liyu[李漁], those on Noh has been highlighted the comparative studies on $Y{\bar{o}}kyoku$[謠曲], Chinese Noh plays. The main difference among the researches on $Y{\bar{o}}kyoku$ in Korea and China was the material regarding characters of Noh. Because song yuanzaju[宋 元雜劇]and Nohgaku in Chinese-Japanese plays were the mature form of the classic plays and those were representative of traditional nation plays, this researches tried to ascertain the cultural origins of two countries regarding the aesthetic characteristics by referencing lyrical and narrative features[曲詞] of yuanzaju[元雜劇]and the classic waka of Nohgaku. While the comparative studies on Noh and song yuanzaju and kunqu[昆劇] in China were prevalent, national researches have emphasized on the inner world of the main character and dramaturgy through the verbal description of Noh. Especially, this research tried to investigate the inner world of the main character and the intention of the writers through the verbal description of Noh authorized in the history of the works. Also, the researches on Buddhism in the Middle Ages and religious background were examined significantly. In addition, the $Y{\bar{o}}kyoku$ has influenced on European modern playwrights and the comparative studies between the materials of $Y{\bar{o}}kyoku$ and Western modern plays were concerned. In Korea, the comparative studies on Noh between Korea abd Japan has been most focused on the origin theory of Noh. The fact that appearance theory of Noh had originated from Sangaku was common opinion among Korean, Chinese, and Japanese scholars. However, they are agree with the opinion that according to the formation of the different genres, Noh's mainstream was different among three countries despite of the same origin. Yuan drama and Noh play have the same origin, but different branch. In relation to the Noh's origin theory, there are literature comparative studies in religious background, the studies presumed the origin of instrumental music related to those in mask plays, and the comparative studies between Korean mask plays and $ky{\bar{o}}gen$ of Nohgaku. Kyogen is the Comedy inserted among the stories in Nohgaku performed in just one day. Therefore, $ky{\bar{o}}gen$ must be discussed separately from the relations of 'shite[任手]'s inner action veiled with masks. This research figured out that the lacking points of the two countries' researches were the acting methods of Noh. Academic articles written by foreign scholars studying Korean and Chinese theatres should be included when this issue will be dealt with. In Korea and China, translation studies and writings regarding Nohgaku have studied by those who are major in Japanese literature or oriental literature. This case is the same in Korea in that scholars whose speciality is not theatre, but Japanese literature has studied. Therefore, this present study can give a good grasp of whole tendency on Nohgaku's research in theatre fields.