what is orthagonal trajectories
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The orthogonal trajectories are the curves that are perpendicular to the family everywhere. In other words, the orthogonal trajectories are another family of curves in which each curve is perpendicular to the curves in original family.
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In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of curves orthogonally. For example, the orthogonal trajectories of a pencil of concentric circles are the lines through their common center
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