사이클로이드 곡선의 역사와 그 특성에 대한 증명
A History of the Cycloid Curve and Proofs of Its Properties
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초록
사이클로이드 곡선은 16세기에서 18세기까지의 시기에 여러 수학자들에 의하여 연구되었고, 이러한연구들이 해석기하학과 미적분, 변분미적분의 탄생과 발전에 중요한 역할을 하게 되었다. 이 시기에수학자들이 새로운 수학적 방법을 발표할 때 흔히 사이클로이드에 적용하는 것을 예로 들었다. 이논문에서는 사이클로이드 곡선에 관련된 수학적 역사를 개관하며, 역사적으로 중요하게 연구되었던성질들에 대한 증명을 제시한다.
Abstract
The cycloid curve had been studied by many mathematicians in the period fromthe 16th century to the 18th century. The results of those studies played importantroles in the birth and development of Analytic Geometry, Calculus, and VariationalCalculus. In this period mathematicians frequently used the cycloid as an exampleto apply when they presented their new mathematical methods and ideas. This paperoverviews the history of mathematics on the cycloid curve and presents proofsof its important properties.
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