Orthogonal trajectory

In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles. The problem is classical, but is now understood by means of complex analysis; see for example harmonic conjugate.

For a family of level curves described by $g(x, y) = C$ , where $C$ is a constant, the orthogonal trajectories may be found as the level curves of a new function $f(x, y)$ by solving the partial differential equation

单词	Orthogonal Trajectory
释义	Orthogonal Trajectory 英语百科 Orthogonal trajectory In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles. The problem is classical, but is now understood by means of complex analysis; see for example harmonic conjugate. For a family of level curves described by $g(x, y) = C$ , where $C$ is a constant, the orthogonal trajectories may be found as the level curves of a new function $f(x, y)$ by solving the partial differential equation
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Orthogonal Trajectory

Orthogonal trajectory