最速降线问题的历史与一种巧解

The History of Brachistochrone Issue and an Ingenious Solution

对最速降线问题发生的历史进行溯源和探究.从伽利略对该问题进行初步探索开始,简述约翰•伯努利发起公开挑战的过程和原因,介绍其对此问题的巧妙解答,阐述其推动18世纪分析领域发展的历史意义.

Tracing and exploring the history of the brachistochrone problem.Begin with Galileo′s initial exploration of this question,briefly narrate the process and reasons of Johann Bernoulli′s open challenge,introduce his ingenious solution to this question,then expound the historical significance of his promotion of the development in the field of analysis in the 18th century.