Category:Definitions/One-Parameter Families of Surfaces
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This category contains definitions related to One-Parameter Families of Surfaces.
Related results can be found in Category:One-Parameter Families of Surfaces.
Consider the implicit function $\map f {x, y, z, c} = 0$ in the Cartesian $3$-space where $c$ is a constant.
For each value of $c$, we have that $\map f {x, y, z, c} = 0$ defines a relation between $x$, $y$ and $z$ which can be graphed in cartesian $3$-space.
Thus, each value of $c$ defines a particular surface.
The complete set of all these surfaces for each value of $c$ is called a one-parameter family of surfaces.
Pages in category "Definitions/One-Parameter Families of Surfaces"
The following 4 pages are in this category, out of 4 total.