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- In differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve. That is, if F is a family of smooth curves, C is a smooth curve (not in general belonging to F), and p is a point on C, then an osculating curve from F at p is a curve from F that passes through p and has as many of its derivatives at p equal to the derivatives of C as possible.The term derives from the Latinate root "osculate", to kiss, because the two curves contact one another in a more intimate way than simple tangency.
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osculable, osculant, oscular, oscularity, osculate, osculation, osculatory, osculatrix, oscule, osculiferous
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"osculating curve." Anagrams.net. STANDS4 LLC, 2024. Web. 16 May 2024. <https://www.anagrams.net/osculating%20curve>.
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