che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)x+sen(π/4)y...
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![Page 1: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/1.jpg)
Che cosa rappresenta questa equazione?
x +y -2xy-√2x-√2y=0
x=cos(π/4)X+sen(π/4)Yy=-sen(π/4)X+cos(π/4)Y
X -Y =0
2 2
2
![Page 2: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/2.jpg)
Che cosa rappresenta questa equazione?
x +y -2xy-√2x-√2y=0
x=cos(π/4)X+sen(π/4)Yy=-sen(π/4)X+cos(π/4)Y
X -Y =0
2 2
2
Come faccio a disegnarla? Devo capire qual è il riferimento buono quello in cui l’equazione diventa “canonica”.
una parabola
![Page 3: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/3.jpg)
![Page 4: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/4.jpg)
http://mathworld.wolfram.com/HyperbolicParaboloid.html
http://mathworld.wolfram.com/Paraboloid.html
Paraboloide ellittico.
Paraboloide iperbolico.
![Page 5: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/5.jpg)
http://mathworld.wolfram.com/Hyperboloid.html
Iperboloide ellittico.
Iperboloide iperbolico.
![Page 6: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/6.jpg)
http://mathworld.wolfram.com/Ellipsoid.html
Ellissoide reale.
Ellissoide immaginario.
![Page 7: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/7.jpg)
![Page 8: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/8.jpg)
![Page 9: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/9.jpg)
O
cono reale
cono immaginario
http://en.wikipedia.org/wiki/Quadric
![Page 10: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/10.jpg)
![Page 11: Che cosa rappresenta questa equazione? x +y -2xy-2x-2y=0 x=cos(π/4)X+sen(π/4)Y y=-sen(π/4)X+cos(π/4)Y X -Y =0 2 2 2](https://reader036.vdocuments.co/reader036/viewer/2022062312/5542eb68497959361e8d44f3/html5/thumbnails/11.jpg)
cilindro ellittico
cilindro immaginario
cilindro iperbolico
cilindro parabolico
http://en.wikipedia.org/wiki/Quadric