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- Family_of_curves abstract "A family of curves is a set of curves, each of which is given by a function or parametrization in which one or more of the parameters is variable. In general, the parameter(s) influence the shape of the curve in a way that is more complicated than a simple linear transformation. Sets of curves given by an implicit relation may also represent families of curves.Families of curves appear frequently in solutions of differential equations; when an additive constant of integration is introduced, it will usually be manipulated algebraically until it no longer represents a simple linear transformation. Families of curves may also arise in other areas. For example, all non-degenerate conic sections can be represented using a single polar equation with one parameter, the eccentricity of the curve: as the value of e changes, the appearance of the curve varies in a relatively complicated way.".
- Family_of_curves thumbnail Apollonian_circles.svg?width=300.
- Family_of_curves wikiPageID "5726601".
- Family_of_curves wikiPageRevisionID "544436406".
- Family_of_curves hasPhotoCollection Family_of_curves.
- Family_of_curves subject Category:Algebraic_geometry.
- Family_of_curves comment "A family of curves is a set of curves, each of which is given by a function or parametrization in which one or more of the parameters is variable. In general, the parameter(s) influence the shape of the curve in a way that is more complicated than a simple linear transformation.".
- Family_of_curves label "Family of curves".
- Family_of_curves label "Kurvenschar".
- Family_of_curves sameAs Kurvenschar.
- Family_of_curves sameAs m.0f1gcv.
- Family_of_curves sameAs Q1518913.
- Family_of_curves sameAs Q1518913.
- Family_of_curves wasDerivedFrom Family_of_curves?oldid=544436406.
- Family_of_curves depiction Apollonian_circles.svg.
- Family_of_curves isPrimaryTopicOf Family_of_curves.
