Pages similar to: The hyperboloid of two sheets
- The elliptic paraboloid
Description of the elliptic paraboloid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The hyperbolic paraboloid
Description of the hyperbolic paraboloid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The ellipsoid
Description of the ellipsoid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The double cone
Description of the double cone with interactive graphics that illustrate cross sections and the effect of changing parameters. - The hyperboloid of one sheet
Description of the hyperboloid of one sheet with interactive graphics that illustrate cross sections and the effect of changing parameters. - Cross sections of a surface
A sketch of how to determine the cross sections of surfaces and use them to understand the shape of a surface. - Surfaces of revolution
A description of how surfaces of revolutions are graphs of functions of two variables that depend only on the radius. - Surfaces as graphs of functions
Illustration of how the graph of a scalar-valued function of two variables is a surface. - Surfaces defined implicitly
Graphing surfaces defined implicitly through an equation. - Parametrization of a line
Introduction to how one can parametrize a line. Interactive graphics illustrate basic concepts. - Parametrization of a line examples
Examples demonstrating how to calculate parametrizations of a line. - Level sets
A introduction to level sets. Illustrates level curves and level surfaces with interactive graphics. - Level set examples
Examples demonstrating how to calculate level curves and level surfaces. - Translation, rescaling, and reflection
An illustration using interactive graphics how to translate, rescale, and reflect graphs of functions of two variables. - An introduction to parametrized curves
An introduction to how a vector-valued function of a single variable can be viewed as parametrizing a curve. Interactive graphics illustrate the way in which the function maps an interval onto a curve. - Spherical coordinates
Illustration of spherical coordinates with interactive graphics. - An introduction to parametrized surfaces
An introduction to how a vector-valued function of two variables can be viewed as parametrizing a surface. Interactive graphics illustrate the way in which the function maps a planar region onto a surface. - Surface area of parametrized surfaces
An introduction to surface area of parametrized surfaces, illustrated by interactive graphics. - Orienting surfaces
How to orient a surface by choosing a normal vector. - Quadric surfaces
Surfaces that are the graphs of quadratic equations.
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