Paraboloid of Revolution
Paraboloid of Revolution is a quadric surface, defined by an implicit equation, embedded.
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aperiodic def-implicit embedded implemented noncompact quadric tradition-classical
Formula
Properties
- Family
- quadric
- Given by
- an implicit equation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- embedded
- Orientable
- yes
- Fidelity
- exact
- Exactness
- elementary
Definition
Revolution of a parabola about its axis: the mirror shape that focuses a parallel beam to a point; the circular special case of the elliptic paraboloid.
Sources
Classical closed form, written directly in the exact language and checked by the validator.
- Classical.
- R. Ferreol, "Paraboloid of revolution", Encyclopedie des formes mathematiques remarquables, mathcurve.com; local mirror chapter ch1314_paraboloidrevolution_2 (S:/data/math_art/references/websites/mathcurve/book/surfaces/ch1314_paraboloidrevolution_2.md).