Pursuit curve

Curves of pursuit with different parameters

Curve of pursuit of vertices of a square (the mice problem for n=4).

A curve of pursuit is a curve constructed by analogy to having a point or points representing pursuers and pursuees; the curve of pursuit is the curve traced by the pursuers.

With the paths of the pursuer and pursuee parameterized in time, the pursuee is always on the pursuer's tangent. That is, given $F (t)$ the pursuer (follower) and $L (t)$ the pursued (leader), for every $t$ with $F'(t) \neq 0$ there is an $x$ such that

单词	Curve of pursuit
释义	Curve of pursuit 英语百科 Pursuit curve A curve of pursuit is a curve constructed by analogy to having a point or points representing pursuers and pursuees; the curve of pursuit is the curve traced by the pursuers. With the paths of the pursuer and pursuee parameterized in time, the pursuee is always on the pursuer's tangent. That is, given $F (t)$ the pursuer (follower) and $L (t)$ the pursued (leader), for every $t$ with $F'(t) \neq 0$ there is an $x$ such that
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Curve of pursuit

Pursuit curve