Lines and revolutions
Rotate function graphs to create three-dimensional surfaces.
Hyperboloid of one sheet
Rotate a line in space to create a hyperboloid of one sheet.
Move the ends of a line segment along two non-complanar line segments to create a hyperbolic paraboloid.
Move the ends of a line segment along a circle and a line to create a conoid.
Move the ends of a line segment along a sinusoid and a line to create a sinusoidal conoid.
Which equations describe the best known curves?
Forms and formulas
Explore the relationship between equations and the surfaces that they define.