Article ID: CBB847455647

On the Acceptance of Trigonometry in Wasan: Evidence from a Text of Aida Yasuaki (2020)

unapi

The Dutch introduced trigonometry to Japan in the middle of the 17th century, but the use of trigonometry was rarely seen until the 18th century, and its use was limited to practical purposes such as surveying and astronomy. It was rarely used to solve geometry problems currently called wasan, the reason for which is not yet fully explained. In this paper, I summarize a book by Aida Yasuaki (1747–1817) in which he strongly criticizes the use of trigonometry for wasan, and try to find the origins of his antipathy. 概要 オランダ人が日本に三角法を紹介したのは17世紀中ごろであったが、 それは18世紀までめったに使われず、使われてもだい たい測量や天文学など実用的な目的に限られ、和算と現在呼ばれる幾何の問題を解くのに使用されることはほとんどなかった。 その理由については、今まで十分に 説 明されて来なかった。この論文では、会田安明 (1747-1817) が一つの和算問題を取り 上げて、 その解決に三角法を使用した人を強 く批判した本の内容を詳しく 説明し、彼の反感の起源を見つけようと試みている。

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Authors & Contributors
Sylvio R. Bistafa
Wilson, Robin J.
Welsh, Whitney Elizabeth
Wardhaugh, Benjamin
Vinci, Thomas C.
Terdimou, Maria
Journals
Archive for History of Exact Sciences
Suhayl: Journal for the History of the Exact and Natural Sciences in Islamic Civilisation
Journal for General Philosophy of Science
Historia Scientiarum: International Journal of the History of Science Society of Japan
Historia Mathematica
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Publishers
Princeton University Press
Plus, Pisa University Press
Oxford University Press
Librairie Philosophique J. Vrin
Harper Collins
Birkhäuser
Concepts
Mathematics
Geometry
Trigonometry
Philosophy of mathematics
Algebra
Science, general histories
People
Lagrange, Joseph Louis
Seki, Takakazu
Leibniz, Gottfried Wilhelm von
Kant, Immanuel
Euler, Leonhard
Wantzel, Pierre Laurent
Time Periods
18th century
19th century
Ancient
17th century
Medieval
20th century
Places
Japan
Greece
China
France
Ottoman Empire
Paris (France)
Institutions
Gresham College, London
Royal Society of London
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