摘要
讨论有关文献在谈到曲线弧长公式时所提出的一个关于两跳蚤移行路径长度的问题.通过理论推导并借助图形分析显示,只是在一些离散的特殊时刻,两跳蚤移行的摆线长度才相等.
On page 564 of the book ＂Calculus＂ by Dale Varberg, et al, it appears that ＂Two fleas are arguing about who will get the longest ride when Jenny pedals her tricycle home from the park. A will ride between the treads of the front tire; B will ride between the treads of one of the rear tires. Settle the argument by showing that their paths will have equal lengths＂. A study on the lengths of two cycloids shows that the above conclusion is true only at some special cases.
出处
《高等数学研究》
2010年第6期54-55,共2页
Studies in College Mathematics
关键词
摆线
弧长公式
跳蚤
cycloid
formula of length of an arc
flea.
