Graphing a Hyperboloid of Two Sheets in 3D https://youtu.be/MCSeF52Kn20

In this video I sketch a hyperboloid of two sheets, which is a quadric surface with horizontal traces being hyperbolas while vertical traces are comprised of both hyperbolas and ellipses.

Table of Computer Drawn Quadric Surfaces https://youtu.be/IJ0rl3jt_f4

In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid of two sheets.

#math #geometry #science #STEM #GeoGebra

Graphing a Hyperboloid of One Sheet in 3D https://youtu.be/a5SxZACKsoM

In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. 

#math #geometry #GeoGebra #STEM #science

Graphing a Hyperbolic Paraboloid in 3D https://youtu.be/rDazyk-5fi8

In this video I graph a hyperbolic paraboloid, which is a surface that has vertical traces being parabolas, and horizontal traces being hyperbolas. The shape looks like a horse's saddle.

Graphing an Elliptic Paraboloid in 3D https://youtu.be/qIsgOTZSwwY

In this video I graph an elliptic paraboloid in 3D both manually as well as using the GeoGebra 3D graphing calculator. An elliptic paraboloid has vertical traces being parabolas and horizontal traces being ellipses.

Graphing an Ellipsoid in 3D https://youtu.be/30yEp-lSwM0

In this video I graph the Ellipsoid quadric surface, whose vertical and horizontal traces are all ellipses.