Nedegenerirane kvadrike (plohe drugog reda)[1]: |
Elipsoid |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}+{z^{2} \over c^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/e638f8f5e0e83889dbf3d5648e28e79a4a8daadc) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Quadric_Ellipsoid.jpg/150px-Quadric_Ellipsoid.jpg) |
Sferoid (specijalan slučaj elipsoida) |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over a^{2}}+{z^{2} \over b^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/77505edf9492eb33fc0314c1dd1b136575c25602) |
Kugla (specijalan slučaj sferoida) |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over a^{2}}+{z^{2} \over a^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/42ecf021c235db1ca685879998a68efa24b6b12c) |
Eliptični paraboloid |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}-z=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/91aff83f92c2aa7ab9d71dfe11951d5c2746f035) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Quadric_Elliptic_Paraboloid.jpg/150px-Quadric_Elliptic_Paraboloid.jpg) |
Kružni paraboloid (specijalan slučaj eliptičnog paraboloida) |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over a^{2}}-z=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/c120decc3f0e573340c541af808b3ddc30fa33d2) |
Hiperbolični paraboloid |
![{\displaystyle {x^{2} \over a^{2}}-{y^{2} \over b^{2}}-z=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/0b97c8a5e1db6bc2167cf6752987ef393970f7a2) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Quadric_Hyperbolic_Paraboloid.jpg/150px-Quadric_Hyperbolic_Paraboloid.jpg) |
Spojeni hiperboloid |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}-{z^{2} \over c^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/021a0a300afbfcf85448afeb42dc1f374627d55a) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Quadric_Hyperboloid_1.jpg/150px-Quadric_Hyperboloid_1.jpg) |
Odvojeni hiperboloid |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}-{z^{2} \over c^{2}}=-1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/17cd4560e6c9279e35c3abae0f1bab65c453939e) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Quadric_Hyperboloid_2.jpg/150px-Quadric_Hyperboloid_2.jpg) |
Degenerirane kvadrike |
Konus |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}-{z^{2} \over c^{2}}=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/a6b7f09db83c03037edc8c77689739ce59aa4e78) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Quadric_Cone.jpg/150px-Quadric_Cone.jpg) |
Kružni konus (specijalan slučaj konusa) |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over a^{2}}-{z^{2} \over c^{2}}=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/93b8ffebaa8bec84c61724372cca3e3aa9a8a9b5) |
Eliptični cilindar |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over b^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/c8b33827dc7e814d999fb6742bb12bc4dae91b59) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Quadric_Elliptic_Cylinder.jpg/150px-Quadric_Elliptic_Cylinder.jpg) |
Kružni cilindar (specijalan slučaj eliptičnog cilindra) |
![{\displaystyle {x^{2} \over a^{2}}+{y^{2} \over a^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/408d0ac688da6520a71b563965544e3aa6692b68) |
Hiperbolični cilindar |
![{\displaystyle {x^{2} \over a^{2}}-{y^{2} \over b^{2}}=1\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/d8dae9236c2c378ddebc1d3822e4f4ce2bb756a3) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Quadric_Hyperbolic_Cylinder.jpg/150px-Quadric_Hyperbolic_Cylinder.jpg) |
Parabolični cilindar |
![{\displaystyle x^{2}+2ay=0\,}](//wikimedia.org/api/rest_v1/media/math/render/svg/5e190c7588a0c385d5aaecd8e4a67eae819c4068) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Quadric_Parabolic_Cylinder.jpg/150px-Quadric_Parabolic_Cylinder.jpg) |