Intersection of general plane with quadric surface

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SUMMARY

The discussion focuses on the intersection of a general plane with quadric surfaces, specifically highlighting the calculations for cones that yield conic sections. The participant seeks published resources for performing similar calculations on other quadric surfaces. It is established that intersecting a plane with a quadratic surface results in a quadratic curve. A reference PDF is provided for further exploration of the topic.

PREREQUISITES
  • Understanding of quadric surfaces and their equations
  • Familiarity with conic sections and their properties
  • Basic knowledge of plane geometry
  • Ability to interpret mathematical PDFs and exercises
NEXT STEPS
  • Research the equations of different quadric surfaces such as ellipsoids and hyperboloids
  • Study the derivation of quadratic curves from plane and quadric surface intersections
  • Explore advanced resources on conic sections and their applications
  • Review the provided PDF for exercises related to quadric surface intersections
USEFUL FOR

Mathematicians, geometry enthusiasts, and students studying advanced calculus or analytical geometry who are interested in the properties of quadric surfaces and their intersections with planes.

swampwiz
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So far I have calculated this for a cone, which elegantly results in the conic sections. However, I would like to do this for the other quadric surfaces. Is the calculation for this been published anywhere online?
 
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