"The Geometry Book"

Japanese: 《幾何学原本》 - きかがくげんぽん
"The Geometry Book"

...There are many names in mathematics, beginning with Thales and Pythagoras in the 6th century BC, but the most important are Euclid (Euclides) and Archimedes in the 3rd century BC. Euclid's major work, the Elements (13 volumes), is also called the Elements of Geometry, because it contains a lot of geometry-related content, but it also deals with number theory and real number theory, and is a systematic compilation of the results of Greek mathematics that had been achieved up to that point. It seems to have been used as a textbook in the Mouseion, the hall of learning in Alexandria, the cultural center of the time, and many copies remain, and a text that appears to be almost complete was restored by a 19th century mathematics historian. ...

From [Stoikeia]

…Stoicheia is the Greek equivalent of the English word elements. It is sometimes called the “Elemental Geometry” because it contains a lot of geometrical content. This work is a compilation of Greek mathematics of the time, consisting of 13 volumes, and its contents are roughly as follows…

*Some of the terminology explanations that refer to "The Geometric Text" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…数学に関しては前6世紀のタレス,ピタゴラスに始まる多くの名が挙げられるが,そのうちでも前3世紀のユークリッド(エウクレイデス)およびアルキメデスは重要である。 ユークリッドの主著《ストイケイア(原論)》(13巻)は,幾何学に関する内容が多いので,《幾何学原本》とも呼ばれているが,数論や実数論をも扱っており,それまでに得られていたギリシア数学の成果を体系的に集大成したものである。当時の文化の中心地であったアレクサンドリアの学問の殿堂ムセイオンで教科書のようにして用いられたようで,多くの写本が残され,19世紀の数学史家によってほとんど完全と思われるテキストが復元された。…

【ストイケイア】より

…ストイケイアは英語のelementsに当たるギリシア語である。幾何学的内容が多いため《幾何学原本》と呼ぶこともある。この著作は当時のギリシア数学を集大成したもので,13巻よりなり,その内容はおよそ次のようである。…

※「《幾何学原本》」について言及している用語解説の一部を掲載しています。

出典|株式会社平凡社世界大百科事典 第2版について | 情報

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