著者

小林 龍彦

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録 (ISSN:18802818)

巻号頁・発行日

vol.1739, pp.51-64, 2011-04

著者

石井 宏明 樋端 恵美子 村山 秀喜 小林 則善 小林 龍彦 床尾 万寿雄

出版者

一般社団法人 日本糖尿病学会

雑誌

糖尿病 (ISSN:0021437X)

巻号頁・発行日

vol.64, no.3, pp.185-190, 2021

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<p>HbA1cの測定方法は,高速液体クロマトグラフィ(HPLC)法のほか,免疫法,酵素法など複数存在する.本邦では従来多くの施設でHPLC法が用いられてきたが,近年酵素法や免疫法による測定が増えている.今回,免疫法でHbA1c偽高値を示した異常ヘモグロビンHbCの1症例を経験した.HPLC法では異常低値を示し,酵素法では基準値内,グリコアルブミンは基準値内であった.遺伝子解析で,<i>β</i>グロビン鎖のミスセンス変異によるHbCと診断した.HbCはアフリカに多い異常ヘモグロビン症で,日本人の報告としては非常に稀であるが,国際化に伴って日本でも症例数が増えることが予想される.HbA1cと血糖値に乖離を疑った際には,複数の方法によるHbA1cの測定,グリコアルブミンによる評価等を含めた慎重な対応が必要である.</p>

著者

小林 龍彦

出版者

前橋工科大学

雑誌

基盤研究(C)

巻号頁・発行日

2006

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この調査を通じて、国学者平田篤胤の旧蔵書と思われる『崇禎暦書』『新法暦書』『寛政暦書』等145冊を秋田県立図書館より見出した。『新法暦書』の『割圓八線之表』の巻には本居宣長の署名と花押が認められた。東北大学では天文方高橋景佑旧蔵の『西洋新法暦書』28冊を見出した。秋元文庫では『西洋新法暦書』の刊本160冊を確認した。併せて、国内に存在する『崇禎暦書』は『西洋新法暦書』であることも判明した。蓬左文庫では『天学初函』24冊とこれの完全写本を見出した。また、神宮文庫にある関孝和の暦書は国学者村井古巌が寄贈したものであることを確認した。中国の清華大学図書館では失われた梅文鼎の初期の著作『中西算學通』を発見した。

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.51, no.264, pp.220-225, 2012 (Released:2021-07-20)

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.50, no.259, pp.174-178, 2011 (Released:2021-07-21)

著者

佐藤 賢一 小林 龍彦 小川 束 上野 健爾

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.47, no.248, pp.231-245, 2008 (Released:2021-08-04)

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.45, no.238, pp.92-95, 2006 (Released:2021-08-11)

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.41, no.221, pp.26-34, 2002 (Released:2021-08-16)

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Mei Wending (1633-1721) is recognized as one of the most influential mathematicians and astronomers of eighteen-century China. While propagandizing Christianity, Jesuit missionaries introduced Western scientific knowledge to 17^ <th> century China. Mei Wending's devoted his scholarly life to the integration and assimilation of Western science into traditional Chinese mathematical and scientific know-how. Mei Wending was both a prolific writer and influential scholar in Asia, his works were studied by generations of Chinese as well as Japanese mathematicians of the Wasan-ka school. With the aim of creating a more precise calendar, which was in great demand domestically, Wasan-ka scholars carefully studied his works after they were introduced into Edo Japan in 1726. Many Chinese mathematics and calendar texts have been preserved today in the Momijiyama Bunko Library, established by the the Tokugawa government in 1602. During our survey of 18^ <th> century Chinese texts in the Momijiyama Bunko Library, we unearthed several important texts concerning Mei Wending's works, publications and manuscripts hitherto unknown to Japanese historians of mathematics. Some of the most important are : 1) Li ski quan shu <暦學全書> (Compendium of Calendar) 2) Li suan quan shui <暦算全書> (Compendium of Mathematics and Calendar), 2^ <nd> edition, 1724 3) Ge yuan ba xian zhi biao <割圓八線之表> (Table for the Eight Lines Cutting a Circle) 4) San jia ce liang he ding <三家測量合訂> (Recompile of Textbook on Land Surveying by the Three Great Mathematicians) In this paper, we first summarize the contents of the above mathematical and calendar texts. Second, we discuss how the works were transmitted into Japan and how they were viewed and analyzed by Japanese mathematicians at the time. Finally, we discuss the various ways texts were exported from China and introduced into Japan.

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.40, no.217, pp.39-40, 2001 (Released:2021-08-17)

著者

小川 束 小林 龍彦 佐藤 賢一 藤井 康生 佐藤 健一

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.39, no.216, pp.223-229, 2000 (Released:2021-08-23)

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.34, no.193, pp.10-18, 1995 (Released:2021-08-27)

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Relaxation of the book prohibition policy in 1720, the fifth year of Shogun Tokugawa Yoshimune's reign, made possible the importation of astronomical, calendrical and mathematical books from China. As a result "Lixiang kaocheng" <暦象考成> which was published by Chinese scientists under cooperation with the Jesuit in 1723, "Lixiang kaocheng houbian" <暦象考成後編> which was compiled by I. Koegler in 1742, "Lishuan chuanshu" <暦算全書> which was completed by Mei Wending's family in 1723 and so forth were introduced into Japan. Kohan Sakabe <坂部廣胖> (1759-1824) was a mathematician who had a great interest in trigonometry in these scientific books. Basic formulae of the right spherical triangle and the oblique spherical triangle in these books with so many astronomical examples were very useful in establishing his mathematical idea. In 1812 K. Sakabe wrote "Kanki kodo shoho" <管窺弧度捷法>,and in 1815 "Sanpo tenzan shinan-roku" <算法點竄指南録>, a mathematical book which had a good reputation as a textbook among Wasan-ka, was published and in the next year a navigation's book, "Kairo anshin-roku" <海路安心録>, was published. We must point out here that "Kanki kodo shoho", "Sanpo tenzan shinan-roku" and "Kairo anshin-roku" were written under the influence of astronomical, calendrical and mathematical books mentioned above. It will be a proof that he had learned part of western astronomy as a Wasan-ka. Therefore, this paper details his mathematical idea and the background of spherical trigonometry from the following viewpoints: ① His mathematical idea on spherical trigonometry is based on the contents of "Lishuan chuanshu" and "Lixiang kaocheng". ② He try to create new formulae of spherical trigonometry in "Sanpo tenzan shinan-roku". ③ He understand the principle of duality and the polar triangle very well

著者

小林 龍彦

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.31, no.184, pp.200-208, 1992 (Released:2021-04-03)

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.27, no.166, pp.110-115, 1988 (Released:2021-09-06)

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There used to be a field called Senkyo problem or Common Part Problem in Wasan which the old Japanese mathematicians or Wasan experts earnestly studied during the Edo period. We have already explained in some journals that Takakazu Seki (1642?-1708) was able to solve the problems without using integral calculus. This time, we have found a new description about the missing note of T Seki in the introductory remarks and in the main body of KTangen Sanpo", which was wr ten by Shukei Irie in 1739 According to Irie's description, he called it uKongenki Enjutsu 16 Problems" And in the main body of the text Irie had cited, in order to solve a Senkyo Problem, that T.Seki had used an approximate formula to find the area of a segment of a circle. We were able to restore this approximate formula as follows: If we let d be the chord, c the altitude of a segment of a circle, and S the area, we have, (2d+c)cπ/10=S Through research of Irie's statement, regardless of it being true or not, we obtained some new facts about T. Seki as follows: Firstly, it is obvious that Seki studied "Sanpo Kongenki" written by Seiko Sato in 1669, from which he learned an approximate formula like the one mentioned above. We believe that this matter may create a new point of view on the study of T. Seki. Secondly, T. Seki must have made a note called "Kongenki Enjutsu 16 Problems" immediately after "Kokon Sanpoki" by Kazuyuki Sawaguchi was published. This is because K. Sawaguchi did not solve 16 out of 150 problems in "Sanpo Kongenki", which Sato poured out as new questions for Wasan experts of that time. Thus, we are able to place the missing note in an early time of his work. Thirdly, it is certain that Seki's successors have passed on this missing note for mathematical education and it existed until around the end of the first half of the 18th century.

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.25, no.159, pp.137-141, 1986 (Released:2021-04-03)

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.24, no.155, pp.149-154, 1985 (Released:2021-04-07)

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.22, no.148, pp.206, 1983 (Released:2021-09-24)

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In the Sanso of 1663, Shigekiyo Muramatu (1608〜1695) made calculations of the circumferences of a regular square, a regular octagon, a regular sixteen-sided polygon, …… inscribed in the circle with the diameter 1,and ended in the circumferences of regular 2¹⁵ -sided polygon. And he got π=3.141592648777698869248 from this conclusion. Similarly Takakazu Seki (1640?〜1708) wrote the Katsuyȏ-Sanpȏ in 1712, in which he showed his measurement of the circle. From the perimeter of an inscribed 2¹⁷-sided polygon, he let the circumferences of a regular 2¹⁵ sided polygon be a, that of a regular 2¹⁶-sided polygon be b, and that of a regular 2¹⁷-sided polygon be c, and he made calculations as follows: b+(b-a)(c-b)/(b-a)-(c-b)=3.14159265359 "extremely weak". Shu-Li-Jing-Yun was introduced into Japan in about 1723. In this book Ludolf (1540〜1610) also showed his measurement of the circle, and he got π=3.141592653589793238431541553377501511680 from the perimeter of an inscribed 2³⁵-sided polygon. In this paper we made a comparative study with the process of their measurements, which is an oblique side of rectangular triangles produced in each process.

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.22, no.147, pp.154-159, 1983 (Released:2021-09-24)

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We studied Problems of the Pierced Object in the Old Japanese Mathematics and we took statistics on these problems in mathematical Tablets. The investigation revealed the fact that many problems were studied during the Bunsei (1818〜1830), especially in and around Edo. And after that period they spread in the country. The main objects of this paper are to give the analysis of the above-mentioned investigation, especially to make the history of mathematical solution clear in these problems.

著者

小林 龍彦 田中 薫

出版者

日本科学史学会

雑誌

科学史研究 (ISSN:21887535)

巻号頁・発行日

vol.22, no.145, pp.47-50, 1983 (Released:2021-10-06)

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Toshisada ENDO, states that the first discovery of cycloid during the Bunsei period (1818〜1828) is attributed to Nei Wada (1787~1840). On the other hand, Yoshio MIKAMI pointed out that the same subject had already been studied by Tadao SHIZUKI (1760〜1806) in his Rekishō Shinsho (vol.1,1798; Vol.2, 1800; Vol.3, 1802). But these works seems to be insufficient, so we have discussed the same subject from astronomical points of view.

著者

小林 龍彦

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録 (ISSN:18802818)

巻号頁・発行日

vol.1444, pp.103-115, 2005-07

著者

小林 龍彦

出版者

四日市大学

雑誌

基盤研究(C)

巻号頁・発行日

2011-04-28

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中国の明清代にイエズス会士が漢訳した西洋の数学・天文・暦学書を漢訳西洋暦算書と言う。これら書籍は八代将軍徳川吉宗の禁書緩和政策によって我が国へ舶載され、日本人が広く研究するところとなった。本研究ではこれら書籍の日本への伝播と日本の暦算家への影響について研究した。享保11年舶載の『暦算全書』は建部賢弘や中根元圭らによって翻訳されたが、これ以降、日本人は三角法の重要性を認識し、天文・暦学や測量術の研究へ応用するようになった。天文方の高橋至時や間重富は『霊台義象志』から振り子の等時性と物体の落下法則を理解した。また。高橋が同書と『西洋新法暦書』から大洋航海法を学んでいたことも解明した。