Sakabe Kōhan
Sakabe Kōhan (坂部 廣胖, 1759 – September 16, 1824) was a Japanese mathematician in the Edo period.[1]
Sakabe served for a time in the Fire Department of the shogunate, but he resigned that position to become a rōnin or masterless samurai. He spent the rest of this life in study, in teaching, and in promoting mathematics education in Japan.[2]
Sakabe was a student of Ajima Naonobu.[3][4]
Sakabe investigated some European and Chinese works which had appeared in Japan, but his general method was later construed to be innovative, clarified and thus improved.[5] Foreign influence shows itself indirectly some of his published work.[6]
Sakabe's Sampo Tenzan Shinan-roku (Treatise on Tenzan Algebra) in 1810 was the first published work in Japan proposing the use of
In Sakabe's Treatise on Tenzan Algebra, mathematical problems are arranged in order from easy problems to difficult ones. The text presents a method for finding the length of a circumference and the length an arc of an ellipse. This was the first appearance of the problems pertaining to ellipses in printed books in Japan.[9]
Selected works
In a statistical overview derived from writings by and about Harry Smith Parkes, OCLC/WorldCat encompasses roughly 10+ works in 10+ publications in 1 language and 10+ library holdings.[10]
- 1795 — Shinsen Tetsujutsu[2]
- 1802 — Kaiujutsu-keima (Considerations on the theory of the polygon)[2]
- 1803 — Rippō-eijiku, method for finding cube root[4]
- 1810 — Tenzan Shinan-roku (點竄指南錄) OCLC 22057236896, Treatise on Tenzan Algebra[7]
- 1812 — Kwanki-kodo-shōhō, measurement of spherical arcs and trigonometrical tables[11]
- 1816 — Kairo Anshin-roku (海路安心錄) OCLC 122810576, theory of navigation applying the spherical astronomy of the West[6]
See also
- shinto shrines
- Soroban, a Japanese abacus
- Japanese mathematics
Notes
- ^ Smith, David. (1914). A History of Japanese Mathematics, pp. 208–213. , p. 208, at Google Books
- ^ a b c Smith, p. 208. , p. 208, at Google Books
- ^ Hatashi, T. [Hayashi Tsuruichi?] "The Conic Sections in the Old Japanese Mathematics," The American Mathematical Monthly, Vol. 13, No. 10 (October 1906), pp. 173–174., p. 173, at Google Books
- ^ a b Hayashi, Tsuruichi. (1907). "A Brief history of the Japanese Mathematics," Nieuw archief voor wiskunde ("New Archive of Mathematics"), pp. 120., p. 120, at Google Books
- ^ Smith, p. 213. , p. 213, at Google Books
- ^ a b Smith, p. 266. , p. 266, at Google Books
- ^ a b Smith, pp. 268–270. , p. 268, at Google Books
- ^ Smith, pp. 268–270. , p. 270, at Google Books
- ^ Hayashi, p. 121., p. 121, at Google Books
- ^ WorldCat Identities: 坂部広胖 1759-1824
- ^ Hayashi, p. 122., p. 122, at Google Books
References
- Endō Toshisada (1896). History of mathematics in Japan (日本數學史史, Dai Nihon sūgakush). Tōkyō: _____. OCLC 122770600
- David Eugene Smith and Yoshio Mikami. (1914). A History of Japanese Mathematics. Chicago: Open Court Publishing. OCLC 1515528 – note alternate online, full-text copy at archive.org
- Wiskundig Genootschap (Mathematical Society). (1907) Nieuw archief voor wiskunde (New Archive of Mathematics). Amsterdam, Swets & Zeitlinger. OCLC 5814818