arXiv Open Access 2017

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

Rosalie Hosking

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Abstrak

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 Ōhara Toshiaki (?-1828). Our investigation into the solution of Ōhara 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.

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math.HO

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Rosalie Hosking

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Hosking, R. (2017). Solving Sangaku: A Traditional Solution to a Nineteenth Century Japanese Temple Problem. https://arxiv.org/abs/1702.01350

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Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓