Category:Examples of One-Parameter Families of Curves
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This category contains examples of One-Parameter Family of Curves.
Consider the implicit function $\map f {x, y, c} = 0$ in the cartesian $\tuple {x, y}$-plane where $c$ is a constant.
For each value of $c$, we have that $\map f {x, y, z, c} = 0$ defines a relation between $x$ and $y$ which can be graphed in the cartesian plane.
Thus, each value of $c$ defines a particular curve.
The complete set of all these curve for each value of $c$ is called a one-parameter family of curves.
Pages in category "Examples of One-Parameter Families of Curves"
The following 3 pages are in this category, out of 3 total.