Equations of the Six Types of Quadric Surfaces

in DTubeyesterday


In this video I review the standard form equations of the 6 types of quadric 3D surfaces: ellipsoid, cone, elliptic paraboloid, hyperboloid of one sheet, hyperbolic paraboloid, and hyperboloid of two sheets. For each quadric surface, I state the types of horizontal and vertical traces as well as the axis of symmetry.

Timestamps:

  • Question 19: Six Types of Quadric Surfaces: 0:00
  • Solution: Equations: 0:06
  • Ellipsoid: 0:12
  • Cone: 0:29
  • Elliptic Paraboloid: 1;08
  • Hyperboloid of One Sheet: 1:57
  • Hyperbolic Paraboloid: 2:29
  • Hyperboloid of Two Sheets: 3:54

Full video and playlists:

  • Full video:
  • HIVE notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
  • Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
  • Vectors and the Geometry of Space playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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