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family of curves

American  

noun

Mathematics.
  1. a collection of curves whose equations differ only by values assigned a parameter or parameters.


Example Sentences

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To visualize S, we visualize two families of curves that lie on S. In the first family of curves we hold u constant; in the second family of curves we hold v constant.

From Textbooks • Mar. 30, 2016

This shape is often included with the family of curves called limaçons, but here we will discuss the cardioid on its own.

From Textbooks • Feb. 13, 2015

The relation expressing the equation of the envelope is called a singular solution of the differential equation, meaning an isolated solution, as not being one of a family of curves depending upon an arbitrary parameter.

From Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" by Various

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