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curve of pur·suit

In geometry, 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) ≠ 0 there is an x such that L ( t ) = F ( t ) + x F ′ ( t ) . {\displaystyle L(t)=F(t)+xF'\!(t).}

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