...Knowing mathematicians of the time who despised technology and experiments, he re-proved many of the results he had previously obtained through experiments using the method of exhaustion, a method unique to Greek mathematics. These works include On Spheres and Cylinders and On Cones (Parabolic and Hyperbolic Solids) and Spheroids (Spheroids), which can now be read in the Greek texts compiled by JL Heiberg (Collected Works of Archimedes, vol. 3, 1910-15). In order to understand the nature of Archimedes's scholarship, we must not forget his famous approximation of the value of pi. *The following is a partial explanation of the term "Heiberg, JL (philologist)." Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…そして技術や実験を軽んじる当時の数学者たちを知り,それ以前に実験で得ていた多くの結果を,ギリシア数学独特の帰謬法による証明法〈取り尽しの方法method of exhaustion〉によって証明し直した。それが《球と円柱について》や《円錐状体(回転放物線体,回転双曲線体)と球状体(回転楕円体)について》など多くの著作であるが,それらを現在われわれは,ハイベルクJ.L.Heibergの編纂したギリシア語テキスト(《アルキメデス全集》3巻,1910‐15)で読むことができる。またアルキメデスの学問の性格を知る上で忘れてはならないのが,有名な円周率の数値による近似計算であろう。… ※「Heiberg,J.L.(文献学者)」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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