Solving Sangaku: A Traditional Solution to a Nineteenth Century Japanese Temple Problem

Autor:	Hosking, Rosalie
Rok vydání:	2017
Předmět:	Mathematics - History and Overview 01A27
Zdroj:	Journal for History of Mathematics, Vol. 30, No. 2, 2017
Druh dokumentu:	Working Paper
Popis:	This paper demonstrates how a nineteenth century Japanese votive temple problem known as a 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 \=Ohara Toshiaki (?-1828). Our investigation into the solution of \=Ohara 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. Comment: Submitted to Journal for History of Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.01350 Zobrazit plný text záznamu View this record from Arxiv