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In mathematics, particularly in the fields of convex analysis and differential geometry, the term "dual curve" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Dual Curves in Projective Geometry**: In projective geometry, the duality principle states that points and lines can be interchanged. The dual curve of a given curve can be constructed where each point on the dual curve represents a line tangent to the original curve.

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