<Article> The Brachistochrone Curve: The Problem of Quickewst Descent (Special Issue of the Faculty of Human Sciences; Studies Presented to Prof. Mieko Sakurai, Prof. Kunio Tanaka, Prof. Teruo Tarumoto on Their Retirement)

西山,豊

<Article> The Brachistochrone Curve: The Problem of Quickewst Descent (Special Issue of the Faculty of Human Sciences; Studies Presented to Prof. Mieko Sakurai, Prof. Kunio Tanaka, Prof. Teruo Tarumoto on Their Retirement)

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西山,豊

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type:01 紀要論文 / Departmental Bulletin Paper

This article presents tyhe problem of quickest descent, or the Brachistochrone curve, that may be solved by the calculus of variations and the Euler-Lagrange equation. The cycloid is the quickest curve and also has the property of isochronism by which Huygens improved on Galileio's pendulum.